solve for y, 3x−5y = 6

Answers

Answer 1

Answer:

y = [tex]\frac{3x -6}{5}[/tex]

Step-by-step explanation:

3x - 5y = 6 ( subtract 3x from both sides )

- 5y = - 3x + 6 ( multiply through by - 1 )

5y = 3x - 6 ( divide both sides by 5 )

y = [tex]\frac{3x-6}{5}[/tex]


Related Questions

are 60/55 and 7/42 porportinal

Answers

No. You get from 60/55 to 7/42. It’s not a constant proportionality

If p and q are integers and pq +p is an odd number, which of the following numbers must be even?

1-p
2-q
3- pq-3
4- p^2

Answers

Answer:Answer: number 2 is correct

Write the equation of the line passing through (-3,1) that is perpendicular to 3x-8y=16

Answers

two lines are perpendicular when their slope is inverted and have the opposite sign

the general form of the equation line is-3,1

[tex]y=mx+b[/tex]

where m is the slope

rewrite

[tex]\begin{gathered} 3x-8y=16 \\ 3x-16=8y \\ y=\frac{3x-16}{8} \\ y=\frac{3}{8}x-2 \end{gathered}[/tex]

so, the slope 3/8

the slope of the other line is

[tex]\frac{3}{8}\longrightarrow-\frac{8}{3}[/tex]

to write the new equation of the line we use the slope and replace the point (-3,1)

[tex]\begin{gathered} (1)=(-\frac{8}{3})(-3)+b \\ 1=8+b \\ b=-7 \end{gathered}[/tex]

now, replace b and the slope to create the line

[tex]y=-\frac{8}{3}x-7[/tex]

given angle 1 is congruent toangle 3 and angle 12 is congruent to angle 8 prove l is parallel to m

Answers

Given that;

[tex]\angle1\cong\angle3,\angle12\cong\angle8[/tex]

Line a and b are two straight lines cut by two transversal lines l and m.

The tranversal line l shows that;

[tex]\begin{gathered} \angle8\cong\angle6 \\ \end{gathered}[/tex]

But also;

[tex]\angle8\cong\angle12[/tex]

Thus,

[tex]\angle6\cong\angle12[/tex]

Then, if two lines are cut by a transversal so the corresponding angles are congruent, then the lines are parallel.

Thus, line l is parallel to m

What is the value of q − 7 if q = −17? 24 10 −10 −24
PLEASE HELP!!!

Answers

When q = -17, the value of the equation, q - 7 would be: d. -24.

How to Evaluate an Equation?

If we are given an equation to evaluate for a given value of a variable, we are to substitute the value of the variable into the equation and solve or simplify.

For example, if an equation is given as 3x + 4, and we are told that the x = 3, to determine the value of the equation, 3x + 4, substitute x = 3 into the equation as:

3(3) + 4

= 9 + 4

= 13

Here, we can now conclude that the value of the equation is 13.

Given the equation, q - 7, to find the value of the equation when q = -17, substitute the value of q into q - 7.

Therefore:

q - 7 = -17 - 7

= -24.

The value of the equation is: d. -24.

Learn more about the value of equation on:

https://brainly.com/question/1429964

#SPJ1

The value of q - 7, when q = - 17 is - 24.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, q = - 17.

∴ q - 7.

To solve our expression we'll substitute the numerical value of q in the given expression.

= (-17) - 7.

= - 17 - 7.

= - 24.

We can also take negative sign common in the second step and distribute them later.

- 17 - 7.

= - (17 + 7).

= - (24).

= -24.

learn more about numerical expression here :

https://brainly.com/question/14642484

#SPJ1

the distribution of the number of text messages young adults send per day is approximately normal, with a mean of 128 messages and a standard deviation of 30 messages. based on the distribution, what is the percentage of young adults send fewer than 218 text messages?

Answers

The percentage of young adults who send fewer than 218 text messages is 99.87%.

For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.

First, solve for the z-score using the formula below.

z-score = (x – μ) / σ

where x = individual data value = 218

μ = mean = 128

σ = standard deviation = 30

z-score = (218 - 128) / 30

z-score = 90 / 30

z-score = 3

Find the probability that corresponds to the z-score in the z-table. (see attached images)

z-score = 3

probability = 0.9987

To get the percentage, multiply the probability by 100.

percentage = probability x 100

percentage = 0.9987 x 100

percentage = 99.87%

Learn more about probability here: brainly.com/question/26822684

#SPJ4

3. Use the following map to calculate distance between the cities. Calculate the distance between Brookline and Charleston.

Answers

The answer is the second option which is 5.

Sandra purchased $1,200 worth of electronic equipment on her new credit card, with an annual interest rate of 14.99%. If she has no other charges on the card and does not pay off the balance at the end of the month, how much money will she owe the credit card company after 1 month? Estimate the interest using the monthly periodic rate.

Answers

Given data:

The given amount of equipment purchased by the Sandra is A=$1,200.

3What is the inverse of the function h(x) = - 2 + 12?h-'(x) =(2

Answers

We have the next function

[tex]h(x)=\frac{3}{4}x+12[/tex]

First we need to make h(x)=y

[tex]y=\frac{3}{4}x+12[/tex]

Then we make x=y and y=x

[tex]x=\frac{3}{4}y+12[/tex]

Then we isolate the y

[tex]x-12=\frac{3}{4}y[/tex][tex]4(x-12)=3y[/tex][tex]y=\frac{4(x-12)}{3}[/tex][tex]y=\frac{4x-48}{3}[/tex]

Therefore the inverse function is

[tex]h^{-1}(x)=\frac{4x-48}{3}[/tex]

according to a survey of advanced curriculum high school students, the mean time spent studying each day is 6.4 hours. assume the standard deviation is 0.80 hours and that the probability distribution is normal. what is the 80th percentile for number of hours spent studying each day? round your answer to 2 digits after the decimal.

Answers

The 80th percentile for the number of hours spent studying each day is 7.07 hours.

A data set with a normal distribution has the majority of its values clustered in the middle of the range, while the remainder taper off symmetrically toward either extreme. The term "standard deviation" refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are dispersed when the standard deviation is high.

The percentage of scores below a given value is shown by percentiles. They provide information about how a score compares to other scores.

Given Data :

Mean time (u) = 6.4 hour

Standard Deviation = 0.80 hour

It is given that the probability distribution is normal.

The formula for the z-score is z =( x- mean)/standard deviation

For the 80th percentile,  the z value from the z table is 0.842.

We have,

0.842 = (x - 6.4)/0.8

0.842*0.8 = x - 6.4

0.6736 =x - 6.4

x = 0.6736 + 6.4

x = 7.0736

x = 7.07

Hence, the 80th percentile for the number of hours spent studying each day is 7.07 hours.

To read more about percentile, visit https://brainly.com/question/1561673

#SPJ4

cooling towers are used to remove or expel heat from a process. a cooling tower's walls are modeled by x squared over 400 minus quantity y minus 110 end quantity squared over 2304 equals 1 comma where the measurements are in meters. what is the width of the cooling tower at the base of the structure? round your answer to the nearest whole number. 100 meters 50 meters 48 meters 40 meters

Answers

The width of the cooling tower at the base of the structure is (D) 40 meters.

Where are cooling towers located?Typically, cooling towers are found on rooftops or other outdoor locations. Lower cooling system efficiency occurs as a result of operation and maintenance specialists commonly ignoring them because they are typically out of sight.

Now, calculate the cooling tower's width:

Equation: x2/400 given (y-90)

²/1600=1

Calculating the width:

Width of the cooling tower: 2400Width of cooling tower = 22040-meter cooling tower width

Therefore, the width of the cooling tower at the base of the structure is (D) 40 meters.

To learn more about cooling towers refer to:

brainly.com/question/27928405

#SPJ4

Question 5
The equation 2x² - 8x = 10 is rewritten in the form of 2(x-p)²+ q = 0. What is the value of q?
-18
2
-2
18

Answers

     The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

  For instance, the equation -2x²-8x = 10 consists of the two equations  is rewritten in the form of 2(x-p)²+ q = 0. , which are separated by the 'equal' sign.

What are two illustrations of equations?

Answer :q = -2

-2x²-8x = 10 (divide both sides by -2)

x² + 4x = -5 (Apply completing the square method)

x² + 4x + (4/2)²= -5 + (4/2)²

x² + 4x + 2²= -5 + 2²    (reduce left hand side using a²+2ab+b² =  (a+b)² )

(x+2)² = -5 +4

(x+2)² = -1

(x+2)² + 1 = 0   (multiply both sides by -2)

(-2)(x+2)² + 1 (-2) = 0

-2[x - (-2)]² + (-2) = 0  ---> compare this with -2(x-p)² + q = 0

We can see that p = 2 and q = -2

To Learn more About  equation, Refer:

https://brainly.com/question/22688504

#SPJ13

PLEASE HELP 50 POINTS

Use matrices A, B, and C to find the following:

A+B

C-B

A+B+C​

Answers

By solving matrices  we get,

[tex]A+B= \left[\begin{array}{ccc}13&10\\4&7\\7&5\end{array}\right] , C-B=\left[\begin{array}{ccc}-8&1\\-7&4\\3&-5\end{array}\right] \\\\\\\\A+B+C = \left[\begin{array}{ccc}13&14\\2&12\\14&-6\end{array}\right][/tex]

A matrix is a rectangular array or table that contains numbers, symbols, or expressions that are arranged in rows and columns to represent a mathematical object or a characteristic of such an entity. As an illustration, consider a matrix with two rows and three columns.

Adding matrices, subtracting matrices, and multiplying matrices are the three algebraic operations that make up the majority of matrix operations. Array of numbers or expressions arranged in rows and columns is called a matrix. The field of mathematics has several useful uses for matrices.

Here the matrices A, B and C are given in the question, so we use matrix addition and matrix subraction operations to solve the question.  

When solving by using the matrices solving method we get

   

[tex]A+B=\left[\begin{array}{ccc}5&7\\-1&6\\3&-9\end{array}\right] +\left[\begin{array}{ccc}8&3\\5&1\\4&4\end{array}\right]= \left[\begin{array}{ccc}5+8&7+3\\-1+5&6+1\\3+4&-9+4\end{array}\right]=\left[\begin{array}{ccc}13&10\\4&7\\7&5\end{array}\right] \\[/tex]

[tex]C-B = \left[\begin{array}{ccc}0-8&4-3\\-2-5&5-1\\7-4&-1-4\end{array}\right] =\left[\begin{array}{ccc}-8&1\\-7&4\\3&-5\end{array}\right][/tex]

[tex]A+B+C= \left[\begin{array}{ccc}5+8+0&7+3+4\\-1+5+-2&6+1+5\\3+4+7&-9+4+-1\end{array}\right] = \left[\begin{array}{ccc}13&14\\2&12\\14&-6\end{array}\right][/tex]

To Know more about Matrices here :

https://brainly.com/question/18291235

#SPJ1

Please help! I’ve tried this a couple times now and still don’t understand it! Math is not my thing.

The function f(z) is graphed below. (Picture below)

a) What is f(0)?

b) What is f(3)?

c) What is f(1)?

Answers

Answer:

Step-by-step explanation:

Lydia took a taxi from her house to the airport. The taxi company charged a pick-up fee of $4.10 plus $2.50 per mile. The total fare was $36.60, not including the tip. Write and solve an equation which can be used to determine x, the number of miles in the taxi ride.

Answers

Answer:

4.10 + 2.50x = 36.60

x = 13 miles

Step-by-step explanation:

I hope this helped

have a good day ^^

Solve for b
-73 = b/7- 81

Answers

Solve for b

-73 = b/7- 81

b= 56

-511=b-567

b-567=-511

b=-511+567

b=56

Solution 2

Add 81 to both sides.

-73+81= b/7

simplify -73+81 to 8

8=b/7

8*7=b

simplify 8*7 to 56

56=b

switch sides b= 56

To learn more about 'Solve' refer to

https://brainly.com/question/12694583

#SPJ1

If the equation be -73 = b/7- 81 then the value of b is 56.

What is meant by Linear equations?An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are present. The variables in the above equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Solve for b

-73 = b/7- 81

b= 56

-511=b-567

b-567=-511

Hence,

b=-511+567

b=56

Solution 2

Add 81 to both sides.

-73+81= b/7

simplify -73+81 to 8

8=b/7

8*7=b

simplify 8*7 to 56

56=b

switch sides b= 56

To learn more about 'Linear equations' refer to:

https://brainly.com/question/26310043

#SPJ1

The radius of Circle A is 6 in. The radius of Circle B is 2 in. greater than the radius of Circle A. The radius of Circle C is 4 in. greater than the radius of Circle B. The radius of Circle D is 3 in. less than the radius of Circle C. What is the area of each​ circle? How many times greater than the area of Circle A is the area of Circle D​?

Answers

Area of circle A is 113.04 in²

Area of circle B is 200.96  in²

Area of circle C is 452.16  in²

Area of circle B is 254.34  in²

The number of times that the area of Circle D greater than Circle A is 2.25

What are the areas of the circles?

A circle is a bounded figure which points from its center to its circumference is equidistant.

Area of a circle = πr²

Where :

π = pi = 3.14R = radius

Area of circle A = 3.14 x 6² = 113.04 in²

Area of circle B = 3.14 x (6 + 2)² = 200.96  in²

Area of circle C = 3.14 x (8 + 4)² = 452.16  in²

Area of circle B = 3.14 x (12 - 3)² = 254.34  in²

Number of time that is the area of Circle D greater than Circle A = 254.34  in² / 113.04 in² = 2.25

To learn more about the area of a circle, please check: https://brainly.com/question/14351152

#SPJ1

Ms. lange drove about 150kms east from la sarre, to senneterre, quebec. she drove another 75kms north to lebel-sur-quevillon, what is the approximate air distance from la sarre to lebel-sur-quevillon

Answers

The approximate air distance from La Sarre to Lebel-sur-Quevillon is 167.71 km.

To determine the air distance from La Sarre to Lebel-sur-Quevillon, analyze the path she has traveled.

When she drove east and drove another north, the total path she ave traveled is similar to the sides of a right triangle, where the distance from the start and end point is the hypotenuse. (see photo attached)

Using Pythagorean theorem, solve the distance from La Sarre to Lebel-sur-Quevillon.

c² = a² + b²

where a = 150 km and b = 75 km

distance² = 150² + 75²

distance² = 22500 + 5625

distance² = 28125

distance = 167.71 km

Learn more about Pythagorean Theorem here: https://brainly.com/question/343682

#SPJ4

ax^2 + bx + c (a in not equal to 0) is a ____?____Select one:a. Quadraticb. Vertexc. Domaind. None of the above

Answers

We have the following expression

[tex]ax^2+bx+c[/tex]

This can't be a vertex, since, in geometry, a vertex is a point where two or more elements meet.

A domain is not either, since, in mathematics, the domain of a function is the set of the existence of itself, that is, the values for which the function is defined.

The Standard Form of a Quadratic Equation looks something like this:

[tex]ax^2+bx+c=0[/tex]

Where a, b, and c are known values and a cannot be 0.

In conclusion, the answer is that is a Quadratic

Solve using elimination.–10x − 10y = –1010x + 8y = –8

Answers

The question asks us to solve the following system of equations by elimination:

[tex]\begin{gathered} -10x-10y=-10 \\ 10x+8y=-8 \end{gathered}[/tex]

Solution

[tex]\begin{gathered} -10x-10y=-10\text{ (Equation 1)} \\ 10x+8y=-8\text{ (Equation 2)} \\ \\ \text{Add Equation 1 and 2 together.} \\ \\ -10x-10y+(10x+8y)=-10+(-8) \\ -10x-10y+10x+8y=-10-8 \\ -10x+10x+8y-10y=-18 \\ -2y=-18 \\ \text{Divide both sides by -2} \\ -\frac{2y}{-2}=-\frac{18}{-2} \\ \\ \therefore y=9 \\ \\ \text{Substitute the value of y into equation 1.} \\ -10x-10y=-10 \\ -10x-10(9)=-10 \\ -10x-90=-10 \\ Add\text{ 90 to both sides} \\ -10x=-10+90 \\ -10x=80 \\ \text{Divide both sides by -10} \\ -\frac{10x}{-10}=\frac{80}{-10} \\ \\ \therefore x=-8 \end{gathered}[/tex]

Answer

The solution to the system of equation is:

x = -8

y = 9

REINFORCEMENT #1 IN MATHEMATICS 10Please draw and fill the table :)

Answers

A set of data is given. It is required to find the first, second, and third quartile.

The given data is:

[tex]2,8,9,10,14,15,16,16,17,17,20[/tex]

Recall that the lower quartile Q₁, or the first quartile, is the median of the lower half of the data in a set.

The lower half is:

[tex]2,8,9,10,14[/tex]

Find the median of the lower half to get the first quartile, Q₁:

Hence, Q₁=9.

Recall that the second quartile Q₂ is the same as the median of the data.

The median is the middle element or the mean of two middle elements in a numerical data set with the elements ordered by their value.

Notice that the middle number is 15.

Hence, second quartile Q₂=15.

The upper quartile Q₃, or the third quartile, is the median of the upper half of the data in a set.

The upper half of the data is:

[tex]16,16,17,17,20[/tex]

Calculate the median to find the third quartile, Q₃:

It follows that Q₃=17

The complete table is shown below:

5. suppose waiting time until the next failure of oil pump system is exponentially dis tributed, with mean of 37 hours. the pump is continuously in operation. what is the probability that the system does not fail for 2 days?

Answers

The Probability that the system does not fail for 2 days is 0. 053

Given ,

Mean (u) = 37 hours .

Step  1 : Calculate the rate parameter, λ.

λ = 1/ mean

λ = 1/ 37 = 0.02703

Step 2 : Find the probability that the system does not

fall for two days, P ( x[tex]\leq[/tex]2 )  

P ( x[tex]\leq[/tex]2 ) .= 1 - e power (lamda(x))

       = 1 - e - 2(lamda)

        = 1 - e power  -2(0. 02703 )

By solving,

P ( x[tex]\leq[/tex]2 ) = 0.05263

P ( x[tex]\leq[/tex]2 ) = 0. 053 [ upto three decimals]

To learn more about probability click here:

brainly.com/question/11234923

#SPJ4

Use matrices to write the equation of the function in the form y = Ax? + Br + C that contains the points (0, 1), (-2, 15), (3,10).

Answers

The most appropriate choice for matrices will be given by-

Required Equation

[tex]y = 2x^2 - 3x + 1[/tex]

What are matrices?

If the numbers are arranged in the form of rows and columns, then the arrangement is called matrix.

Here,

The equation is [tex]y =Ax^2 + Bx + C[/tex]

The function contains the points (0, 1), (-2, 15), (3,10).

On putting these coordinates in the equation,

C = 1

[tex]15 = A(-2)^2 + B(-2) + 1\\4A - 2B = 15-1\\2(2A - B ) =14\\2A - B = \frac{14}{2}\\2A -B = 7[/tex]................ (1)

[tex]10 = A(3)^2 + B(3) + 1\\9A + 3B = 10-1\\3(3A + B ) =9\\3A + B =\frac{9}{3}\\3A + B = 3[/tex].................... (2)

Here matrix method will be used

Let

[tex]P = \begin{bmatrix} 2 & -1\\ 3 & 1 \end{bmatrix}[/tex], [tex]Q = \begin{bmatrix} x \\ y\end{bmatrix}[/tex], [tex]R = \begin{bmatrix} 7\\3 \end{bmatrix}[/tex]

PQ = R

[tex]Q = P^{-1}R[/tex]

Adjoint P =

[tex]\begin{bmatrix} 1 & -3 \\ 1 & 2 \end{bmatrix}^T\\\\\begin{bmatrix} 1 & 1 \\ -3 & 2 \end{bmatrix}[/tex]

Det P = [tex]\begin{vmatrix} 2 & -1\\3&1\end{vmatrix}[/tex]

          = [tex]2\times 1 - 3 \times (-1)\\5[/tex]

[tex]P^{-1} = \frac{1}{5}\begin{bmatrix} 1 & 1\\-3 &2\end{bmatrix}[/tex]

[tex]Q = \frac{1}{5}\begin{bmatrix} 1 & 1\\-3 &2\end{bmatrix}\begin{bmatrix}7\\3\end{bmatrix}[/tex]

[tex]Q = \frac{1}{5}\begin{bmatrix} 10\\-15\end{bmatrix}\\Q= \begin{bmatrix} 2\\-3\end{bmatrix}[/tex]

A = 2, B = -3

Required Equation

[tex]y = 2x^2 - 3x + 1[/tex]

To learn more about matrices, refer to the link-

https://brainly.com/question/94574

#SPJ13

Complete Question

Use matrices to write the equation of the function in the form [tex]y = Ax^2 + Bx + C[/tex]that contains the points (0, 1), (-2, 15), (3,10).

True or False: The set of whole numbers is closed under multiplication.

Answers

Answer:  True

Explanation:

Take any two whole numbers you want. Multiplying them together always result in some (other) whole number.

Examples:

2*3 = 65*7 = 3511*12 = 132

In other words,

(whole number)*(whole number) = whole number

This is why we consider the set closed under multiplication.

A single piecewise-defined function f(x) has been
graphed for you on the display to the left.
At how many values c on the interval x€[−6, 4) is it
true that the limx→cf(x) = 1?

Answers

Answer: 1

Step-by-step explanation:

[tex]\lim_{x \to -6} f(x) \neq -1[/tex] because the left and right hand limits are not the same.

[tex]\lim_{x \to -1} f(x) \neq -1[/tex] because the left and right hand limits are not the same.

However, somewhere between 1 and 2, the limit does equal -1 because the left and right hand limits are the same.

What is the solution to the inequality? 3(x+5)>12

Answers

Answer:

x>-2

Step-by-step explanation:

3 times five is fifteen, which is larger than 12, so all x needs to be is be bigger negative 2.

. Represent Real World Problems Lorena and Benita are saving
money. They began on the same day. Lorena started with $40. Each
week she adds $8. The graph describes Benita's savings plan. Which
girl will have more money in 6 weeks? How much more will she
have? Explain your reasoning.

Answers

We need to know how to read a graph inorder to solve the problem. At the end of 6 weeks, Lorena will have more money, she will have $8 more than Benita.

We know that Lorena started with $40 and she added $8 every week. We need to find out the final amount she has at the end of 6 weeks. For Benita, we can see from the graph that she started with $50, since the graph starts from $50, and if we observe the amount after every week we can see that she adds $5 every week to the savings. We can directly say from the graph that the final amount Benita has after 6 weeks is $80.

amount Lorena has after 6 weeks = 40+ (6x8)=40+48=$88

Therefore we can see that Lorena will have more money after 6 weeks and she has $8 more than Benita.

Learn more about graphs here:

https://brainly.com/question/6703816

#SPJ1


Use the graph or table to find the equation that represents the relationship.

Answers

Answers

#1 = y = 3x -5

#2 = y = -12x + 2

Step by step

For #1, I’m using the two points
(1, -2) and (3, 4) to find slope

y2 - y1 over x2 - x1
4- -2 over 3 -1
6 over 2 = 6/2 or slope (m) of 3

Now we find the equation
Using points (3, 4)

y - y1 = m (x - x1)

y -4 = 3(x - 3)

y -4 = 3x -9

Add 4 to each side to solve for y

y - 4 + 4 = 3x - 9 + 4

y = 3x -5

————

For # 2 I’m using the two points
(1/8, 1/2) and (0, 2) to find slope (m)

y2 - y1 over x2 - x1

2 - 1/2 over 0 - 1/8

1 1/2 over -1/8

To simplify we divide 1 1/2 by -1/8

When we divide fractions we flip the divisor and multiply

3/2 * -8/1 = -12 slope (m)

Now we find the equation
Using points (0, 2)

y - y1 = m (x - x1)

y - 2 = -12(x - 0)

y -2 = -12x

Add 2 to both sides to solve for
y -2 +2 = -12x + 2

y = -12x + 2

Answer:

1) y = 3x + 5

2) y = -12x + 2

3) y = 5/4 - 5

4) y = -6x + 3

Step-by-step explanation:

andrea wants to cut a board into three pieces the board is 3 2/3 feet long how long will each piece be

Answers

Answer:

7/6 feet

Step-by-step explanation:

The board is 3 and 1/2 feet long, so it is 3+(1/2) feet long.

3 + 1/2 = ?

3/1 + 1/2 = ?

6/2 + 1/2 = ?

(6 + 1)/2 = ?

= 7/2

3 + 1/2 = 7/2

In other words, the board is 7/2 feet long.

Now we have to divide by 3 since Andrea is cutting the board in three pieces.

So:

(7/2)/3       or        (7/2) ÷ 3       or        [tex]\frac{\frac{7}{2}}{3}[/tex]        or     (7/2) × (1/3)

= 7/(2×3)

= 7/6

So we found that each piece (after cutting the board into three pieces) is 7/6 feet long.

a city has two water towers. one tower holds 8.4 x 103 gallons of water and the other tower holds 9.5 x 104 gallons of water. what is the combined water capacity of the two towers in scientific notation?

Answers

Total capacity the tower holds 1.034 x 10^5  gallons of water

One tower holds 8.4 x 10^3 gallons of water

Other tower holds 9.5 x 10^4 gallons of water

The combined water capacity of the two towers in scientific notation is,

Total capacity the tower holds = 9.5 x 10^4 + 8.4 x 10^3

    = 9.5 x 10^4 + 0.84 x 10^4

    = 10.34 x 10^4

    = 1.034 x 10^5

To learn more about Capacity click here:

https://brainly.com/question/2740387

#SPJ4

Other Questions
Answer the questions below:a. What are three ways an author can portray imagery via the written word?b. List one example from Act II where Shakespeare uses imagery.c. List one example from Act II that highlights a motif of the play. which royal governor of virginia issued a proclamation in the fall of 1775 granting freedom to the slaves of rebels who were willing to take up arms in the british army? A garden store sells two types of potted palm trees. The Mediterranean palms sell for $150 each, and the palmetto palms sell for $125 each, including tax. The store wants to sell a total of at least 15 of the plants each day and have total sales of at least $2,000. Which of these systems of inequalities can be used to determine x, the number of Mediterranean palms, and y, the number of palmetto palms, that must be sold? Find the mean of the data in the dot plot below. scientists in the 1950s performed an investigation to test whether organic compounds could beproduced by stimulating the conditions of primitive earth. They placed a simple compoundsthey thought existed in the atmosphere of early earth in a heated vessel and used electricsparks to stimulate lightning. Then they determined whether sugars and amino acids werepresent period which of the following would not be an appropriate scientific activity?A. Using the results to design an additional investigation.B. making a prediction before beginning the investigation.C. systematically recording the results of the investigation.D. choosing data that confirmed the hypothesis of the investigation. Option 1: Piecewise Defined FunctionsA t-shirt company is looking to buy t-shirts from a distributor. They are trying to decide which distributor would be best for them when they buy about 80 shirts for their weekly order. Justify your answer with a piece wise function and discuss what you would do if you were in charge. A review on this topic can be found in the Instruction of Piecewise Defiined functions slide 15.Company 1:Shirts are $11 a piece for the first 100. After the first 100 each additional shirt is $7.50.Company 2$12 a piece for the first 50, $9.50 each additional shirt. The length of a rectangle is 3in longer than its width.If the perimeter of the rectangle is62in , find its length and width. cuales son los dos numeros enteros cuyo producto es 294 y cuyo cociente es 6? Are all horizontal lines parallel? Explain your reasoning. Subject: EnglishQuestion: reread the paragraph that begins on page 2, and ends on page 3.Click the underlined phrase that uses I literally device to make Northridge Junction seem like a desperate person. 1/2 x - 2 = x - 4answersss?? A governor has been working to decrease the unemployment rate but it has gone up by 3%. In an effort to undermine the governor, a media outlet releases a bar graph comparing the unemployment rate before and after the governor took office.Which of the following tactics did the media outlet use to create this graph?A. Comparison chartsB. SizingC. Missing informationD. Axis and scaling manipulation Find the perimeter of each polygon. Assumethat lines which appear to be tangent aretangent.13)7.81118.4 please help me its do tomorrow 1) Discrete or Cont?DomainRangeFunction? Which value is equivalent to 660.3 C on the Kelvin temperature scale?349.06 K1,220.54 K933.45 K387.15 K Using 0.082 as your R value, what mass of NaN3 is required to produce 10L of N2 gas, at 273K and 1.5atm. Show all your work completely.Use the following formula to guide your work: 2NaN3 -> 2Na + 3 N2 Solve for x: -3x-6= -7x+34 Elizabeth Oliver sells luxury cars. She earns a 4 percent straight commission. Lastmonth her sales totaled $128,000. What was her commission? a total of tickets were sold for the school play. they were either adult tickets or student tickets. there were 53 more student tickets sold than adult tickets. how many adult tickets were sold? simone is taking a history class. the exams focus on events and dates. after each class, she draws time lines and plots the events covered in the lecture using key words. based on this information, which kind of learner is simone?