A sandwich shop serves 4 ounces of meat and 3 ounces of cheese on each sandwich. After making sandwiches for and hour the shop owner has used 91 combined ounces of meat and cheese. How many ounces of meat were used?

Answers

Answer 1

The number of ounces of meat were used is 52 ounces.

Given that, a sandwich shop serves 4 ounces of meat and 3 ounces of cheese on each sandwich.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

There are 7 ounces of combined meat and cheese in each sandwich (4+3 =7)

Number of sandwiches can make with 91 ounce of meat and cheese

= 91/7

= 13 sandwiches

Number of ounces of meat = 13 × 4 = 52 ounces

Number of ounces of cheese = 13 × 3 = 39 ounces

Therefore, the number of ounces of meat were used is 52 ounces.

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Related Questions

Multiply and simplify completely ( 3x - 1 ) (3x + 1)

Answers

Answer:

9x^2-1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Multiply (3x - 1) * (3x + 1)

= 9(x)^2 + 3x - 3x -1

= 9(x)^2 - 1

What is the solution to 4x-5(2x-1) <= 7(2x+3)

Answers

[tex]4x-5(2x-1)\le7\mleft(2x+3\mright)[/tex][tex]\begin{gathered} 4x-10x+5\le14x+21 \\ -6x+5\le14x+21 \\ -6x-14x\le21-5 \\ -20x\le16 \\ x\ge\frac{16}{-20} \\ x\ge-\frac{4}{5} \end{gathered}[/tex]

Martin, a carpenter wants to make a spice rack for the kitchen. He cuts a 16.24 feet long plank into 5 pieces of equal length. What is the length of each piece of wood ? Round to the nearest hundredth.

Answers

Solution

For this case we can solve the problem with the following operation:

[tex]\frac{16.24ft}{5}=3.248ft[/tex]

And rounded the answer we got 3.25 ft

16.24*100 = 1624

5*100 = 500

And we can do this:

1624/500 = 812/250 = 406/125

003

_____

125 / 406

-0

____

-40

-0

____

406

-375

_____

31

Hi, can you help me to solve this problem, please !!!

Answers

Remember that

The y-intercept is the value of y when the value of x=0

In this problem

we have the equation

y=7x^2+4

For x=0

substitute

y=7(0)^2+4

y=4

the y-intercept is (0,4)

(10, 10) А (2, 4) Find point C so that that the ratio of length Ad to the length of CB is 3:1

Answers

ANSWER

[tex](8,8.5)[/tex]

EXPLANATION

When a line segment is divided by ratio m:n, the coordinates of the point of division are given as:

[tex](\frac{mx_2+nx_1}{m+n},\frac{my_2+my_1}{m+n})[/tex]

where (x₁, y₁) and (x₂, y₂) are the coordinates of the ends of the line.

Therefore, we have that:

[tex]\begin{gathered} m=3;n=1 \\ (x_1,y_1)=(2,4) \\ (x_2,y_2)=(10,10) \end{gathered}[/tex]

Therefore, the coordinates of point C are:

[tex]\begin{gathered} (\frac{3\cdot10+1\cdot2}{3+1},\frac{3\cdot10+1\cdot4}{3+1}) \\ (\frac{30+2}{4},\frac{30+4}{4}) \\ (\frac{32}{4},\frac{34}{4}) \\ (8,8.5) \end{gathered}[/tex]

Those are the coordinates of C.

Using positive integers between 1 and 9 and each positive integer at most once, fill in values
to get two constraints so that x = 7 is the only integer that will satisfy both constraints at
the same time.
☐ x+☐ < ☐ x + ☐
☐x+ ☐ > ☐ x+ ☐

Answers

Using positive integers between 1 and 9 and each positive integer at most once,

2 x+ 9 < 3 x + 1

6x+ 4 > 5 x+ 8

To get two constraints so that x = 7 is the only integer that will satisfy both constraints at the same time. Upon analysing it can be seen that to the coefficients of x in eaxh equation shouch be two consecutive number. The coefficient on the lesser than side should be lower than the coeffiecient present on the greater than side.

To make the equation in such a way that only 7 satisfy it, the lesser than sides are added with numbers higher than 7 that is 8 and 9.

Therefore, Using positive integers between 1 and 9 and each positive integer at most once,

2 x+ 9 < 3 x + 1

6x+ 4 > 5 x+ 8

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Pls help solve all 3 questions

Thank you :)

Answers

Answer:

Q18: x = 21, y = 15

Q19: x = 16, y = 10

Q20: x = 24, y = 19

Step-by-step explanation:

Q18:

(3x - 16) + (6x + 7) = 180 (corresponding angles, sum of angles on a straight line=180°)

9x - 9 = 180

9x = 189

x = 21

11y - 32 = 6x + 7 (vertically opposite angles)

11y - 32 = 6(21) + 7

11y - 32 = 133

11y = 165

y = 15

Q19:

8x - 14 = 5x + 34 (corresponding angles, vertically opposite angles)

3x = 48

x = 16

(8x - 14) + (5y + 16) = 180 (sum of angles on a straight line=180°)

8(16)-14 + (5y + 16) = 180

114 + 5y + 16 = 180

5y + 130 = 180

5y = 50

y = 10

Q20:

47 + 3x + (2x + 13) = 180 (corresponding angles, sum of angles on a straight line=180°)

5x + 60 = 180

5x = 120

x = 24

5y - 23 = 3x (corresponding angles)

5y - 23 = 3(24)

5y - 23 = 72

5y = 95

y = 19

All of the guests at a wedding choose one option for their dinner – the meat option, the fish option, or the vegetarian option. 65% of the guests chose the meat option. 210 guests chose the fish option. 5% of the guests chose the vegetarian option. How many guests chose meat as their dinner option?

Answers

Using the percentage of guests choose one option for their dinner , the number of guest chose meat as their dinner option are 455.

As given in the question,

Options given for dinner :

Meat, Fish and Vegetarian

Percent of guest having

Meat in dinner = 65%

Vegetarian = 5%

Number of guest chose fish =210

Percent of guest chose fish = 100 -(65 +5)

                                            = 30%

Let x be the total number of guest

30% of x = 210

⇒ (30/100) × x = 210

⇒ x= (210 ×100) / 30

⇒ x = 700

Therefore, using the percentage of guests choose one option for their dinner ,the number of guest chose meat as their dinner option are 455.

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which measure of variability is used for interval-ratio variables and is the square root of the average of the squared deviations from the mean? group of answer choices iqv interquartile range variance standard deviation

Answers

Standard deviation is used for interval-ratio variables and is the square root of the average of the squared deviations from the mean.

What is measure of variability?

Measures of variability provide descriptive information about the dispersion of scores within data.

Standard deviation uses all the values in the distribution in it's calculation hence the standard deviation provides the most information.

Therefore standard deviation is used for interval-ratio variables and is the square root of the average of the squared deviations from the mean.

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The rectangular waiting area for a popular amusement park ride is covered by a large sun canopy. The total area of the canopy, in square feet, is 100 square feet more than twice the area where guests wait.
Which equation could you use to find the area of the place where guests wait for the ride if the area of the canopy is 7,600 square feet?

Answers

The equation which can be used to find the area of the place where guests wait for the ride if the area of the canopy is 7600 square feet is:

2a+100=7600.

Given, The rectangular waiting area for a popular amusement park ride is covered by a large sun canopy.

The total area of the canopy, in square feet, is 100 square feet more than twice the area where guests wait.

let the area of the place where guests wait be represented by 'a'.

the canopy covers the area = 2a + 100

total area of the canopy = 7600

equation  used  to find the area of the place where guests wait for the ride if the area of the canopy is 7,600 square feet = ?

⇒ 2a + 100 = 7600

arrange the like terms.

⇒ 2a = 7600 - 100

calculate the difference.

⇒ 2a = 7500

⇒ a = 7500/2

⇒ a = 3750

Hence the area of the place where guests wait is 3750 square feet.

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where is the center of dilation located in the image pictured below?

Answers

Answer:

V

Step-by-step explanation:

7
1
-5
35
-4 24
-3 15
-2 8
-1 3
0 0
1 -1
Match the average rates of change of f(x) to the corresponding intervals.
-7
-4
300
[-5, -1]
(-4,-1]
[-3, 1]
-2,1]

Answers

The rates of changes of the given function for the corresponding intervals are:  [-5, -1] = -8, [-4, -1] = -7, [-3, -1] = -6, [-2, -1] = -5.

What is function?

A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.

This means that a function f will map an object x to exactly one object f(x) in the set of potential outputs if the object x is in the set of inputs (referred to as the domain) (called the codomain).

The rate of change of a function can be calculate using the formula:

[tex]R = \frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

Putting the value from the question:

given [x₁, x₂] = [-5, -1]

f(-5) = 35 , f(-1) = 3

Putting these value in formula:

[tex]R = \frac{3-35}{-1 -(-5)}[/tex]

R = -32/4

R = -8

given [x₁, x₂] = [-4, -1]

f(-4) = 24, f(-1) = 3

Putting these value in formula:

[tex]R = \frac{3-24}{-1 -(-4)}[/tex]

R = -21/3

R = -7

given [x₁, x₂] = [-3, -1]

f(-3) = 15, f(-1) = 3

Putting these value in formula:

[tex]R = \frac{3-15}{-1 -(-3)}[/tex]

R = -12/2

R = -6

given [x₁, x₂] = [-2, -1]

f(-2) = 8, f(-1) = 3

Putting these value in formula:

[tex]R = \frac{3-8}{-1 -(-2)}[/tex]

R = -5/1

R = -5

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find regular and irregular polygons

Answers

Answer:

Regular Polygon:

D

Irregular Polygon:

A, B, F

Not a Polygon:

E, C

Step-by-step explanation:

Polygons are shapes with straight lines.

Regular polygons have uniform side lengths and angles.

Julia just let a new candle and then let it burn all the way down to nothing. The candle
burned at a rate of 0.75 inches per hour and its initial length was 9 inches. Write an
equation for L, in terms of t, representing the length of the candle remaining
unburned, in inches, t hours after the candle was lit.
L=

Answers

Answer: L= 9-.75x

Step-by-step explanation: since it starts at 9 inches tall and is melting at .75 inches per hour, it's going to be the initial length, 9, minus the rate, .75, times the time/hours past, so x

Identifying Variables and Writing Functions Practice . A function describes how a dependent variable changes with respect to one or more independent variables. When there are only two variables, they are often summarized as an ordered pair with the independent variable first: (independent variable, dependent variable) The dependent variable is a function of the independent variable. If x is the independent variable and y is the dependent variable, write the function as y = f(x) Related Quantities. Write a short statement that expresses a possible relationship between the variables. Example: (age, shoe size) Solution: As a child ages, shoe size increases. Once the child is full-grown, shoe size remains constant. 1. (volume of a gas tank, cost to fill the tank) 2. (time, price of a Ford sedan), where time represents years from 1975 to 2017

Answers

Let's begin with what we know:

For an ordered pair, we have (independent variable, dependent variable)

For example, when x is the independent variable & y is the dependent variable, we have (x, y)

y = f(x)

We are to write a short statement that expresses a possible relationship between the variables below:

1. (volume of a gas tank, cost to fill the tank)

Volume of gas is the independent variable & Cost to fill the tank is the independent variable. That means that:

As the volume of the gas tank increases. the cost of filling it increases. Once the volume of the gas tank is filled, the cost to fill the tank is at its maximum

2. (time, price of a Ford sedan), where time represents years from 1975 to 2017​

Time is the independent variable & price of a Ford sedan is the independent variable. That means that:

As the time lapses from 1975 to 2017, the price of the Ford sedan depreciates/reduces.

What is the area, in square centimeters, of the shaded part of the rectangle shown below

Answers

Answer:100 cm

Step-by-step explanation: first, you would find the area of the whole rectangle.

L x W = A

10x14=140

Next, find the area of the unshaded part. To do this, you would subtract 6 from 14

14-6=8

After that, times 8 by 10, then divide by 2

10x8=80

80÷2=40

Take 40 and subtract it from the area of the whole rectangle

140-40=100

2x-5y = 16 solve for y

Answers

[tex]\frac{2(x-8)}{5}[/tex] = y

To Solve: value of y

Given: 2x-5y=16

Solution: The solution to this problem involves the following steps:

2x-5y-16=0

2x-16=5y

[tex]\frac{2x-16}{5}[/tex] = y

[tex]\frac{2(x-8)}{5}[/tex] = y

Answer: The final answer is : [tex]\frac{2(x-8)}{5}[/tex] = y

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Linear equations
Which ordered pair is a solution of this equation, -2x+9y=-26
A. (4,4)
B. (-4,-4)
C. (-5,-4)
D. (-4,-5)

Answers

The ordered pair which is a solution to the given linear equation is (-5, -4)

What are linear equations?

Linear equations are equations that has a leading degree of 1. The standard linear equation is given as Ax + By = C.

Given the linear equation below;

-2x+9y=-26

We need to determine the ordered pair that gives a solution to the linear expression.

For the coordinate point (4, 4)

-2(4) + 9y = -26

9y = -26 + 8

9y = -18

y = -18/9 = -2

This shows that (4, 4) is not a solution.

For the coordinate point (-4, -4)

-2(-4) + 9y = -26

9y = -26 - 8

9y = -34

y = -34/9

This shows that (-4, -4) is not a solution.

For the coordinate (-5, -4)

-2(-5) + 9y = -26

9y = -26 - 10

9y = -36

y = -4

This shows that (-5, -4) is a solution of the linear equation.

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How do you solve -m=9

Answers

Hello!

So, we are given the following to solve:

[tex]-m=9[/tex]

To solve this, simply divide both sides by -1.

[tex]\frac{-m}{-1}= \frac{9}{-1}[/tex]

Then, simplify the expression and you have your solution.

[tex]m=-9[/tex]

Hope this helps! If so, please lmk! Thanks and good luck!

Answer:

m= -9

Step-by-step explanation:

Divide both sides by -1

[tex]\frac{-m}{-1} =\frac{9}{-1}[/tex]

Simplify m = - 9

A manufacturer has been selling 1250 television sets a week at $450 each. a market survey indicates that for each $13 rebate offered to a buyer, the number of sets sold will increase by 130 per week.

Answers

The demand function of  the number of sets sold will increase by 130 per week is p(x) = (-1 ÷ 13)x + 550.

Determine the coordinates of two points mostly online. Estimate the difference in y-coordinates between these two places. Estimate the difference in x-coordinates between these two places. Divide the y-coordinate difference by the x-coordinate difference.

Let p(x) denote the demand function, with x denoting the number of TV sets desired. As stated in the issue, a $10 decrease in p(x) causes a 130 rise in x. As a result, the slope of the demand function graph is -13 ÷ 130 = -1 ÷ 10.

Given p(1250) = 450,

-1 ÷ 10 = (p(x) - 450) ÷ (x - 1250)

p(x) = (-1 ÷ 13)x + 550

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A car rental company charges an initial fee plus an additional fee for each mile driven. The charge depends on the type of careconomy luxury The charge E dollars) to rent an economy car is given by the function E = 15.95 + 0.60M where M is the number of miles drivenThe charge (dollars) to rent a luxury car is given by the function L = 18.20 + 1.25M be how much more it costs to rent a luxury car than an economy car (in dollars)an equation relating C to Simplify your answer as much as possible

Answers

C=34.15+0.65M

Explanation

Given

[tex]\begin{gathered} E=15.95+0.60M \\ L=18.20+1.25\text{ M} \\ where \\ E\text{ is the cost to rental an Economy car} \\ Lis\text{ the total cost to rental an Luxury car} \\ M\text{ is the number of miles traveled} \end{gathered}[/tex]

so

to Know C, how much more it costs to rent a Luxuy can than an economc, we need to do a subtraction, hence

[tex]\begin{gathered} C(M)=L(M)-E(M) \\ \end{gathered}[/tex]

so, replace and simplify

[tex]\begin{gathered} C(M)=L(M)-E(M) \\ C=18.20+1.25M-(15.95+0.60M) \\ C=18.20+1.25M-15.95-0.60M \\ C=34.15+0.65M \end{gathered}[/tex]

therefore, the answer is

C=34.15+0.65M

I hope this helps you

C=34.15+0.65M

Explanation

Given

[tex]\begin{gathered} E=15.95+0.60M \\ L=18.20+1.25\text{ M} \\ where \\ E\text{ is the cost to rental an Economy car} \\ Lis\text{ the total cost to rental an Luxury car} \\ M\text{ is the number of miles traveled} \end{gathered}[/tex]

so

to Know C, how much more it costs to rent a Luxuy can than an economc, we need to do a subtraction, hence

[tex]\begin{gathered} C(M)=L(M)-E(M) \\ \end{gathered}[/tex]

so, replace and simplify

[tex]\begin{gathered} C(M)=L(M)-E(M) \\ C=18.20+1.25M-(15.95+0.60M) \\ C=18.20+1.25M-15.95-0.60M \\ C=34.15+0.65M \end{gathered}[/tex]

therefore, the answer is

C=34.15+0.65M

I hope this helps you

Which expression is equivalent to the given expression? (+2+6)-(- 2+3) x +9 O A I O B. - } +3 O C. x+3 OD. - *+9

Answers

Answer:

The equivalent expression is;

[tex]\frac{5}{7}x+3[/tex]

Explanation:

We want to simplify the expression;

[tex](\frac{1}{7}x+6)-(-\frac{4}{7}x+3)[/tex]

we will first multiply the negative by every term in the bracket, then simplify by collecting the like terms.

[tex]\begin{gathered} \frac{1}{7}x+6-(-\frac{4}{7}x)-(+3) \\ \frac{1}{7}x+6+\frac{4}{7}x-3 \\ \text{collecting the like terms we have;} \\ \frac{1}{7}x+\frac{4}{7}x+6-3 \\ \frac{5}{7}x+3 \end{gathered}[/tex]

Therefore, the equivalent expression is;

[tex]\frac{5}{7}x+3[/tex]

Identify at least two pairs of congruent angles in the figure and explain how you know they are congruet

Answers

you didn't attach the figure....

What is the answer? Pls

Answers

Answer:

70

Step-by-step explanation:

f(1)=6, f(n)=f(n-1)+4

n = 1 → a1 = 6 ← given value

n = 2 → a2 = 6+4 = 10

n = 3 → a3 = 6+4+4 = 14

n = 4 → a4 = 6+4+4+4 = 18

n = 17 → a4 = 6+(4 * 16) =

(its 4 times 16 because 16 is 17 - 1 or n - 1)

n = 17 → a4 = 6+(64) = 70

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Tony B

An economy size car can travel 32 miles for each gallon of gasoline. The function d(g) = 32g represents the distance traveled in miles, d(g), that the car can travel with g gallons of gasoline. Find d(30).

*Type in your answer.

d(30) = miles

Answers

The number of miles to drive for 30 gallons is 960 miles

How to determine the function value?

From the question, the function definition is given as

d(g) = 32g

Where g represents the number of gallons and d represents the distance

The function value to calculate is given as

d(30)

This means that we calculate the number of miles to drive for 30 gallons

So, we have

d(30) = 32(30)

This gives

d(30) = 32 x 30

Evaluate the product

d(30) = 960

Hence, the function value is d(30) = 960

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The sum of three palm tree heights range from 32 to 42 feet. The height of two of the trees are 8 feet and 16 feet. If the height of the third tree is x feet, write and solve a compound inequality to show the possible heights of the third tree.

Answers

The inequality to show the possible heights of the third tree is 8 ≤ x ≤ 18.

How to calculate the value?

Inequalities are created through the connection of two expressions. It should be noted that two expressions in an inequality aren't always equal. They are denoted by the symbols ≥ < > ≤ 

Let the height of the third tree be x.

By the given condition, this will be:

8 + 16 + x ≥ 32 and 8 + 16 + x ≤  42

The first relation will give x ≥ 32 - 24 = x ≥ 8

The second relation will give:

8 + 16 + x ≤  42

24 + x ≤  42

x ≤  42 - 24

x ≤  18

The inequality is 8 ≤ x ≤ 18.

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If sum of three palm tree heights range from 32 to 42 feet. The height of two of the trees are 8 feet and 16 feet. If the height of the third tree is x feet. Then compound inequality is 8 ≤ x ≤ 18.

What is Inequality?

A relationship between two expressions or values that are not equal to each other is called 'inequality.

Let height of the third tree be x.

By the given condition

The sum of three palm tree heights range from 32 to 42 feet

8 + 16 + x ≥ 32 and 8 + 16 + x ≤  42

Solve these inequalities

8 + 16 + x ≥ 32

24+x ≥ 32

x≥ 32-24

x≥ 8

and 8 + 16 + x ≤  42

24+ x ≤  42

x≤  42-24

x ≤ 18

Hence the inequality is 8 ≤ x ≤ 18.

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due in an hour pls help!!

Answers

If the point M (4,3) is translated using the rules (x, y) ⇒ (x, y-2),  then the coordinates of the M' = (4,1)

The point is M(4,3)

The translation rules is

(x, y) ⇒ (x, y-2)

The translation states that the movement of the graph either horizontally  or vertically. When we translate the graph, the shape and size will not change, only the coordinates of the graph changes.

We know the values of

x = 4

y = 3

Substitute the values in the equation

The coordinates of the M' = (x, y-2)

= (4, 3-2)

= (4,1)

Hence, if the point M (4,3) is translated using the rules (x, y) ⇒ (x, y-2),  then the coordinates of the M' = (4,1)

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Use spinner and color key to find the indicated probabilities. Landing on green or a vowelNot landing on yellow or a constant

Answers

Solution:

The spinner has a total of 8 sections.

There are two green sections and 4 four vowel sections where one of the vowels is also green.

Then, the probability of landing on green or a vowel is;

[tex]\frac{5}{8}=0.625[/tex]

Which two county libraries charge the same penalty per week

Answers

Cumberland and Lincoln

Fighting fires is a profession that is really heating up. The average firefighter works 160 hours a month and make $4,090 for the month. If you only work 32 hours in a week, how much will you make?

Answers

Working 32 hours a week will fetch you $818

How to calculate the amount you will make?

From the question, the given parameters are:

Number of hours = 160

Earnings in a month = $4090

Start by calculating the unit rate

This is calculated using the following unit rate formula

So, we have

Unit rate = Earnings in a month/Number of hours

Substitute the known values in the above equation

So, we have

Unit rate =  4090/160

Evaluate the quotient

Unit rate =  25.5625

For 32 hours, the total earnings is

Total = Unit rate x Number of houts

So, we have

Total = 25.5625 x 32

Evaluate

Total = 818

Hence, you will earn $818 weekly

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an engine flywheel initially rotates counterclockwise at 6.75 rotations/s. then, during 23.1 s, its rotation rate changes to 2.97 rotations/s clockwise. find the flywheel's average angular acceleration (including its sign) in radians per second squared. define counterclockwise rotation as positive A window washer drops a tool from their platform 155 ft high. The polynomial -16r2 + 155 tells us the height, in feet, ofthe tool / seconds after it was dropped. Find the height, in feet, after t = 1.5 seconds. A new alloy is designed for use in a car radiator. If the 17.6 kg radiator required 8.69 105 J of heat to warm from 22.1C to 155.8C, what is the specific heat of the new alloy? ave read 14 pages in 28 minutes how much pages can she read for 50 minutes Why do Shakespeare's plays are considered difficult for modern students to understand? Identify each of the following statements as true or false in relation to confidence intervals (CIs). A scientist claims that Elysia chlorotica, a species of sea slug, is capable of photosynthesis. Which of the following observations provides the best evidence to support the claim?1) Elysia chlorotica grows in the dark when food sources are available.2) Elysia chlorotica grows faster when exposed to light than when placed in the dark.3) Elysia chlorotica will die if not exposed to light.4) Elysia chlorotica grows when exposed to light in the absence of other food sources. I need 5-10 Answered ASAP 10. What is the solution of the equation-9x + 4 = -8- 5x?A x = -3B x=2/7x = 1 x = 3 What Greek tradition came out of the First Greco-Persian War that is still practiced today?A. Decapitating PoliticiansB. OlympicsC. MarathonsD. Smashing plates in celebration (Opa!) The table shows the total cost c for the number of aquarium tickets purchased t. Write an equationthat can be used to find the cost c oft aquarium tickets. Use the equation and complete the table tofind the cost of 7 tickets.7Number of Tickets, tCost, cWrite an equation3$29.2510 12$97.50 $117.00(Use the operation symbols in the math palette as needed. Use integers or decimals for any numbers in the equatioDo not include the $ symbol in your answer.) a solenoid of radius 4.10 cm has 780 turns and a length of 25.0 cm. (a) find its inductance. mh (b) find the rate at which current must change through it to produce an emf of 70.0 mv. (enter the magnitude.) a/s the Center is (2,0) the circle passes through the point (4.5,0) What is the Radius? Drag each tile to the correct box. Not all tiles will be used. Arrange the steps to solve the equation x + 3 2 x 1 = - 2 . Simplify to obtain the final radical term on one side of the equation. Raise both sides of the equation to the power of 2. Apply the Zero Product Rule. Use the quadratic formula to find the values of x. Simplify to get a quadratic equation. Raise both sides of the equation to the power of 2 again. 4. Solve the polynomial.7x + 21x - 63x = 0 For the function f(x)=3x24x4,a. Calculate the discriminant.b. Determine whether there are 0, 1, or 2 real solutions to f(x)=0. The safe load, L, of a wooden beam of width w, height h, and length l, supported at both ends, varies directly as the product of the width and the square of the height, and inversely as the length. A wooden beam 5 inches wide, 8 inches high, and 216 inches long can hold a load of 7670 pounds. What load would a beam 3 inches wide, 5 inches high, and 240 inches long of the same material, support? Round your answer to the nearest integer if necessary. Let f(t) = 3 + 2, g(x) = -x^2?, andhe) = (x - 2)/5. Find the indicated value:24. h (g(5)) Given a triangle ABC at points A = ( - 2, 2 ) B = ( 2, 5 ) C = ( 2, 0 ), and a first transformation of right 4 and up 3, and a second transformation of left 2 and down 5, what would be the location of the final point B'' ? which senecio does not describe an example of continuity over timeA. The United States organizes its government around a constitution that is still around today?B. china is ruled by a series of imperial dynasties for thousands of yearsC. followers of Judaism continue to obey the Ten Commandments written thousands of years agoD. after ruling the Western Europe for centuries, the Roman Empire collapses