"Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

"Draw A Line Representing The "rise" And A Line Representing The "run" Of The Line. State The Slope Of
"Draw A Line Representing The "rise" And A Line Representing The "run" Of The Line. State The Slope Of

Answers

Answer 1

The slope of the line = rise of the line / run of the line = 2/2 = 1.

How to Find the Slope of a Line?

The slope (m) of a line can be determined by finding the ratio of the rise of the line to the run of the line, which is, the change in y over the change in x.

Referring to the image attached below, the blue line in the given graph shows the rise of the line while the red line shows the run of the line.

Therefore:

Rise of the line = 2 units

Run of the line = 2 units

Slope of the line (m) = rise/run = 2 units/2 units

Slope of the line (m) = 1

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"Draw A Line Representing The "rise" And A Line Representing The "run" Of The Line. State The Slope Of

Related Questions

A number is selected randomly from a container containing all the integers from 10 to 50. Find P(Prime|between 11 and 30).A. 7/10B. 1/2C. 1D. 3/10

Answers

Given:

Numbers in the container: All integers from 10 to 50

Let's find P(Prime numbers| numbers between 11 and 30).

Here, we are to find the conditional probability.

Apply the formula:

P(Prime|between 11 and 30) = P(prime numbers and between 11 and 30) ÷ P(numbers between 11 and 30).

Where:

• Prime numbers between 11 and 30 = 11 , 13 , 17 , 19 , 23 , 29 =6 numbers

,

• Intergers from 10 to 50 = 41 integers.

To find the probability, we have:

[tex]\begin{gathered} P(Prime|between11and30)=\frac{\frac{6}{41}}{\frac{20}{41}} \\ \\ =\frac{6}{41}\ast\frac{41}{20} \\ \\ =\frac{6}{20} \\ \\ =\frac{3}{10} \end{gathered}[/tex]

Therefore, we have:

P(Prime|between 11 and 30) = 3/10.

ANSWER:

D. 3/10

a street light is at the top of a ft. tall pole. a man ft tall walks away from the pole with a speed of feet/sec along a straight path. how fast is the tip of his shadow moving when he is feet from the pole?

Answers

[tex]\frac{dx}{dy} = \frac{5}{3}. 4\frac{ft}{s} = \frac{20}{3}\frac{ft}{s}[/tex] is moving at the speed of the shadow

x is the distance from the man to the pole, and y is the distance from the tip of the man's shadow to the pole. I assume the man and pole are standing straight up, which means the two cases are similar.

[tex]\frac{y-x}{y} = \frac{6}{15}[/tex]

15(y-x) = 6y

9y = 15x

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

differentiate both sides with respect to t or time.

[tex]\frac{dx}d{y} = \frac{5}{3}\frac{dx}{dt}[/tex]

you know [tex]\frac{dx}{dy} = 4\frac{ft}{s}[/tex] because the man is walking that speed away from the pole. you want to find [tex]\frac{dx}{dy}[/tex] , how fast the tip of the shadow is moving.

that means

[tex]\frac{dx}{dy} = \frac{5}{3}. 4\frac{ft}{s} = \frac{20}{3}\frac{ft}{s}[/tex]

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How do I find the slope and Y-intercept of the line x+2y=-2

Answers

Answer:

slope = -1/2

y-intercept = (0, -1)

Explanation:

Given:

[tex]x\text{ + 2y = - 2}[/tex]

To find:

the slope and the y-intercept

To determine the slope we will use the linear function formula:

[tex]\begin{gathered} y\text{ = mx + b} \\ m\text{ = slope} \\ b\text{ = y-intercept} \end{gathered}[/tex]

We need to rewrite the given equation in the form above so as to get the slope

[tex]\begin{gathered} x\text{ + 2y = -2} \\ 2y\text{ = -x - 2} \\ y\text{ = -}\frac{x}{2}\text{ - }\frac{2}{2} \\ y\text{ = }\frac{-x}{2}-1 \end{gathered}[/tex]

From the above, m = -1/2

Hence, the slope is -1/2

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

To get the y-intercept, we will substitute x with 0:

[tex]\begin{gathered} y\text{ = }\frac{-0}{2}\text{ - 1} \\ y\text{ = 0 - 1} \\ y\text{ = -1} \\ \\ The\text{ y-intercept in ordered pair \lparen x, y\rparen:} \\ when\text{ x = 0, y = -1} \\ y-\text{ intercept = \lparen0, -1\rparen} \end{gathered}[/tex]

For the cented functions g(x) = x + 3 and h(x) = (x-4, find the composition gºh and specify its domain using interval notation,

Answers

Answer

Part A

(g o h)(x) = x - 1

Part B

Domain of (g o h) = (-∞, ∞)

Explanation

Part A

We are given that

g(x) = x² + 3

h(x) = √(x - 4)

We are then asked to find (g o h)(x)

To do that, we need to note that (g o h)(x) means we write g(x), but instead of x, we write h(x). That is,

(g o h)(x)

= g(h(x))

= [h(x)]² + 3

= [√(x - 4)]² + 3

= x - 4 + 3

= x - 1

Part B

To find the domain

The domain of a function refers to the values of the independent variable (x), where the dependent variable [y or f(x)] or the function has a corresponding real value. The domain is simply the values of x for which the output also exists.

And for (g o h)(x) = x - 1, we know there will be an answer for all real number values of x. Hence,

Domain = (-∞, ∞)

Hope this Helps!!!

Which is not a statistical question? * 1 point how much did the corn plants grow last week? what is the height of the tallest corn plant? how much water did the corn plants get each day last month? how tall are the corn plants?

Answers

The option that is not a statistical question is D. how tall are the corn plants?

What is a statistical question?

A statistical question is one that may be answered by gathering data and for which the data will vary. Questions answered with a single data point are not statistical questions since the data utilized to answer the question is not variable.

A statistical question is one that can be answered by gathering varying amounts of data. A statistical inquiry is one that yields varying responses and outcomes (data). It must be collected on more than one person and there must be room for the facts to vary.

Therefore, based on the information illustrated, the correct option is D. It was too general and not specific

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A cylindrical drinking glass has radius 3 cm and height 8 cm. (i) Calculate the volume of water the glass holds when it is filled to the top.Give the units of your answer. Answer(a)(i); Water is poured into a number of these glasses from a jug containing 1.5 litres Each glass has a horizontal line 2 cm from the top. Calculate how many of these glasses can be filled up to the line from the jug

Answers

The volume of the glass is 454.16cm² and the number of glasses filled upto a horizontal line of 2 cm from top is 4

A cylindrical drinking glass has radius 3 cm and height 8 cm.

The volume of a cylinder is 2πr²h

= 2 (3.14) 3² x 8

= 452.16cm³

The jug contains 1.5 litres of water

1 litre = 1000cm³

1.5 litre = 1500cm³

The volume of glass if it is filled upto a horizontal line 2 cm from the top.

volume =  2πr²h

= 2 (3.14) 3² x 6

= 339.12cm³

Number of glasses filled = 1500/339.12 = 4.42

4 glasses can be filled up to the line from the jug

Therefore, the volume of the glass is 454.16cm² and the number of glasses filled upto a horizontal line of 2 cm from top is 4

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how do I right this in numeral formsix thousand, five hundred eighty-two ten-thousandths

Answers

[tex]\begin{gathered} \text{six thousands}\Rightarrow6,000 \\ \text{Five hundred eighty two}\Rightarrow582 \\ \text{Ten thousands}\Rightarrow10,000 \\ \text{The answer is}\Rightarrow65820000 \end{gathered}[/tex]

Por C?AnswerExample0 How many ways can 4 candy bars be chosenfrom a store that sells 30 candy bars?С27,4052 How many ways can 13 students line up for lunch?113 How many ways can you make a 3-letterarrangements out of the letters in the wordTRAPEZOID.4 How many ways can you choose 2 books from ashelf of 40 books-5 How many ways can 12 swimmers finish in first,second, and third place?.L11---How many ways can Mrs. Sullivan choose twostudents from 27 to help put away calculators atthe end of class?----1-111

Answers

1) How many ways can 4 candy bars be chosen from a store that sells 30 candy bars?

In this case we can combine 30 types of candy bars in a set of 4 bars.

This can be calculated as a combination of 30 in 4 with no repetition:

[tex]\begin{gathered} C(n,r)=\frac{n!}{(n-r)!r!} \\ C(30,4)=\frac{30!}{(30-4)!4!}=\frac{30!}{26!4!}=\frac{30\cdot29\cdot28\cdot27}{4\cdot3\cdot2\cdot1}=\frac{657720}{24}=27405 \end{gathered}[/tex]

Answer: 27,405 possible combinations (C).

2) How many ways can 13 students line up for lunch?

In this case we have a permutation of 13 in 13 with no repetition.

We can calculate this as:

[tex]\begin{gathered} P(n,r)=\frac{n!}{(n-r)!} \\ P(13,13)=\frac{13!}{(13-13)!}=\frac{13!}{1}=6227020800 \end{gathered}[/tex]

Answer: 6,227,020,85)00 possible permutations (P).

3) How many ways can you make a 3-letter arrangements out of the letters in the word TRAPEZOID.

In the word we have 9 letters with no repetition, so we have to calculate a permutation (as order matters) of 9 letters in 3 places.

We can calculate this as:

[tex]P(9,3)=\frac{9!}{(9-3)!}=\frac{9!}{6!}=9\cdot8\cdot7=504[/tex]

Answer: 504 possible permutations (P).

4) How many ways can you choose 2 books from a shelf of 40 books.

In this case, the order does not matter, so it is a combination of 40 in 2.

This can be calculated as:

[tex]C(40,2)=\frac{40!}{(40-2)!2!}=\frac{40!}{38!2!}=\frac{40\cdot39}{2\cdot1}=\frac{1560}{2}=780[/tex]

Answer: 780 possible combinations (C)

5) How many ways can 12 swimmers finish in first, second, and third place?

In this case, the order does matter, so we have a permutation of 12 in 3:

[tex]P(12,3)=\frac{12!}{(12-3)!}=\frac{12!}{9!}=12\cdot11\cdot10=1320[/tex]

Answer: 1320 permutations (P)

6) How many ways can Mrs. Sullivan choose two students from 27 to help put away calculators at the end of class?

The order does not matter between the two students, so it is a combination of 27 in 2:

[tex]C(40,2)=\frac{27!}{25!2!}=\frac{27\cdot26}{2\cdot1}=351[/tex]

Answer: 351 combinations (C)

Brynn rides her bike 84 miles in 4 hours.
a. Create a ratio of Brynn's miles per hour.
b. Using the ratio you found in part a, determine
how far Brynn can ride in 7 hours.
c. If Brynn rides 57 miles at the rate indicated,
how long will she ride? Justify your response.

Answers

Part (a)

distance = rate*time

rate = distance/time

rate = 84/4

rate = 21

Answer: 21 mph

==================================================

Part (b)

distance = rate*time

distance = 21*7

distance = 147

Answer: 147 miles

==================================================

Part (c)

distance = rate*time

time = distance/rate

time = 57/21

time = 2.71428571428571

time = 2.714

Answer: Approximately 2.714 hours

Answer;

A.21:1

B:147 Miles

C.2.7 hours or 182 minutes

explain the ideas (natrual rights,role of the government) and the complaints set forth in the declaration of independence

Answers

Answer:

1. Fact that all individuals are created equal and are endowed by their creator with certain unalienable rights is a clear statement in the Declaration of Independence.

2. Aim of having a government is to safeguard these rights,  the people have the right and the duty to alter, abolish, or over through that government.

3. The Decoration of Independence lists the grievances that the government has failed to resolve and reconcile with the colonies.

4. The decree was made to become an autonomous nation and the motives for asserting independence are listed in the grievances.


A machine in a factory makes 2 1/4 pounds of nails in 1 1/2 hours. At what rate, in
pounds per hour, does the machine make nails? Show your work.

Answers

The rate of pounds per hour of the machine is 1.5 pounds per hour

How to determine the rate of pounds per hour?

From the question, we have the following parameters:

Pounds of nails = 2 1/4 pounds of nail

Number of hours = 1 1/2 hour

From the above parameters, the rate of pounds per hour can be calculated using the following formula of constant of proportionality

The constant of proportionality is calculated as

Constant of proportionality = Pounds of nails/Number of hours

In this case, we have

Rate of pounds per hour = Pounds of nails/Number of hours

Substitute the known values in the above equation

Rate of pounds per hour = (2 1/4)/(1 1/2)

So, we have

Rate of pounds per hour = 1.5

Hence, the rate is 1.5 pounds per hour

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Answer:

1 1/2

Step-by-step explanation:

2 1/4 divide 1 1/2 is 1 6/12

1 6/12 simp —-> 1 1/2 (1.5)

Point Pis on line segment OQ.Given OQ = 4s – 10, OP = 23, and PQ = I,determine the numerical length of OP.

Answers

P

OQ = 4S - 10

OP = 23

PQ = 1

Equation

OQ = OP + PQ

Substitution

4S - 10 = 23 - 1

Simplification

4S = 22 + 10

4S = 32

S = 32/4

S = 8

Determine OP

OQ = 4(8) - 10

OQ = 32 - 10

OQ = 22

A local movie theater sells tickets at different prices for an adult and for a child. The price of an adult’s ticket is $10.50 and the price of a child’s ticket is $6.50 . If the theater sells a total of 65 tickets for a total price of $594.50 in an afternoon, how many child tickets did the theater sell?

Answers

Answer:

6.50 × 65 tickets.

Answer = $422.5

The theater sells 43 adult tickets and 22 child tickets.

What is an equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let us assume,

The number of adult tickets sold is x

The number of tickets sold for children is y

Since the total number of tickets sold is 65,

x + y = 65 .....(i)

Charge per adult ticket=$10.50,

So the amount collected by selling adult tickets is 10.50×x

Charge per child ticket=$6.50,

So the amount collected by selling tickets for children is 6.50×y

We know that the total amount earned by the theater is $594.50

So, 10.5x +6.5y = 594.50  ......(ii)

After solving equations (i) and (ii), we get the values of x and y as

x = 43 and y = 22

Therefore, the theater sells 43 adult tickets and 22 child tickets.

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I need this answered please

Answers

If they meet in 2 hr the rate of the slower car is 86.

What is rate?

rate is the ratio between two of  related quantities in the  different units. If the denominator of the ratio is expressed as of a single unit of one of those quantities.

Sol- as per the given question

{d =380

{t=2

Substitute {d=380 formula

                 {t=2

d=v×t

380=2v

=2(18+2x)=380

Apply the distributive property

36+4x=380

Rearrange variables to the left side of the equation

4x=380-36

4x=344

Divided both side of the equation by the coefficient of variable

X=344/4

By cross out the common factor we get

X=86

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What is the first step in evaluating the expression shown below? (12.9-3.1) x 6.2-2 + 43 00:00 Multiply 3.1 and 6.2. 00:00 Add 2 and 43 Subtract 3.1 from 12.9. Subtract 2 from 6.2.

Answers

We have to indicate the steps to follow in order to evaluate:

(12.9-3.1) x 6.2-2 + 43

So FIRST: we solve for the operation indicated inside the parenthesis

12.9 - 3.1 = 9.8 (we subtract 3.1 from 12.9)

This is the answer you need to select.

Write the equations of the following lines. A line that is parallel to y=2x-4 and passes through the point (1, 1)

Answers

Considering the definition of parallel line, a line that is parallel to y=2x-4 and passes through the point (1, 1) is y= 2x -1.

Linear equation

A linear equation o line can be expressed in the form y = mx + b

where

x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

Parallel line

Parallel lines are two lines that are always at the same distance from each other and never touch.

Two lines are parallel if they have the same slope "m" and different y-intercepts "b".

Equation of parallel line in this case

In this case, the line is y=2x -4

where:

The slope m is 2The y-intercepts b is -4.

Since two lines are parallel if they have the same slope, the parallel line has a slope of 2 and has a form of: y= 2x + b

The line passes through the point (1, 1). Replacing in the expression for parallel line:

1= 2×1 + b

1= 2 + b

1 -2= b

-1 = b

Finally, the equation of parallel line is y= 2x -1 .

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Shawn designs a rectangular garden as shown below. He will design both rock sections to have the same width (x). A. Use exactly two terms to write an equivalent expression to represent the perimeter, in feet, of Shawn's garde .

Answers

The equivalent expression of the perimeter in two terms is 44 + 4x

How to determine the equivalent expression of the perimeter?

From the question, the area of the garden is given as

A = 15(2x + 7)

The area of a rectangle is calculated using

A = LW

Where

Length = L

Width = W

This means that

L = 15

W = 2x + 7

The perimeter of the rectangular garden is then calculated as

P = 2 * (L + W)

So, we have

P = 2 * (15 + 2x + 7)

Evaluate

P = 2 * (22 + 2x)

This gives

P = 44 + 4x

Hence, the perimeter is 44 + 4x

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Complete question

Shawn designs a rectangular garden as shown below. He will design both rock sections to have the same width (x). A. Use exactly two terms to write an equivalent expression to represent the perimeter, in feet, of Shawn's garden.

The area in, square feet, of Shawn’s garden is found be calculating 15(2x + 7).

Help please this is due later on.

Answers

Answer:

[tex] \csc(θ) = \frac{1}{ \sin(θ) } [/tex]

im not sure ols help

Answers

Answer: √141

Step-by-step explanation:

a^2=c^2-b^2

The hypotenuse is larger in this question so we subtract them.

25^2-22^2=625-484=141

√141

Answer:

x = √141  

or

x = 11.87

Step-by-step explanation:

is a right triangle, we solve it with the Pythagorean theorem ("In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides".)

x² = 25² - 22²

x² = 625 - 484

x² = 141

x = √141  

or

x = 11.87

Given the frequency table, what percentage of the students that like rap are also in grades 9–10? Round to the nearest whole percent.
A. 16%
B. 38%
C. 40%

Answers

The percentage of students that like rap that are also in grades 9–10 = 32%.

What is a frequency table?

A frequency table is the type of table that shows the number of occurrence of different types of variables of an experiment.

From the frequency table given;

In grade 9 - 10;

Rap students = 40 students

Rock students = 30 students

Country students = 55 students

The total students in grade 9 - 10 = 125

Therefore, the percentage of rap students in grade 9 - 10;

= 40/125×100/1

= 4000/125

= 32%

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help, please! ♡ (photo attached)

Answers

The rational equation is equivalent to the polynomial 27 · x² - 36 · x + 12.

How to simplify a rational equation by algebra properties

In this case we find a rational equation whose numerator and denominator are polynomials, which must be simplified by using algebra properties. The complete procedure is now shown:

(9 · x - 6)² / (2 · x⁴ + 4 - 2 · x⁴ - 1)                  Given

(81 · x² - 108 · x + 36) / (3)                             Perfect square binomial / Associative, commutative and modulative properties / Existence of additive inverse /Definition of subtraction

27 · x² - 36 · x + 12                                        Addition and subtraction of fractions with same denominator / Associative and commutative properties / Definition of division

The rational equation is equivalent to the polynomial 27 · x² - 36 · x + 12.

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3 halves times 3 halves

Answers

Answer:

2.25

Step-by-step explanation:

Answer:

2.25

Please:
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A hot air balloon is cruising at an altitude of 150 meters above the ground when it begins its descent. The balloon descends at a rate of 5.5 meters per minute. Write an equation to model when the balloon will reach an altitude of 95 meters above the ground. Use n to represent the unknown

Answers

150 - 5.5n= 95 equation to model when the balloon will reach an altitude of 95 meters above the ground.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that,

A hot air balloon is cruising at an altitude of 150 meters above the ground when it begins its descent.

The balloon descends at a rate of 5.5 meters per minute.

We need to write an equation to model when the balloon will reach an altitude of 95 meters above the ground.

The equation is 150 - 5.5n= 95

Hence 150 - 5.5n= 95 equation to model when the balloon will reach an altitude of 95 meters above the ground.

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Can someone help me i will give brainlest :)

Answers

The solution to the inequalities given are graphed in the diagram attached below.

How to Solve and Graph Inequality?

When graphing an inequality, a full circle is used when the sign involved is "≤ or ≥", while an empty circle is used to indicate the point on the graph when the inequality sign is "< or >".

The inequalities would be solved as shown below:

15. ¾x + 5 > 11

Subtract 5 from both sides

¾x > 11 - 5

¾x > 6

3x > 24

Divide both sides by 3

3x/3 > 24/3

x > 8

16. -5/6x - 1 ≥ 14

Add 1 to both sides

-5/6x ≥ 14 + 1

-5/6x ≥ 15

-5x ≥ 90

Divide both sides by -5

x ≤ -18

17. 5x - 2 ≤ -7

Add 2 to both sides

5x ≤ -7 + 2

5x ≤ -5

x ≤ -1

18. 6 - x ≤ 14

Subtract 6 from both sides

-x ≤ 14 - 6

-x ≤ -8

x ≥ 8

19. 4 - 1/3x > 11

Subtract 4 from both sides

-1/3x > 11 - 4

-1/3x > 7

-x > 21

x < -21

20. (x + 11)/-2 < -2

x + 11 < 4

Subtract both sides by 11

x < 4 - 11

x < -7

See the image below for the graph of the solution to each inequality given.

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Can someone help me, please? its timed

Answers

The measure of the lableled angles are x = 202 and  (x - 44) = 158

What are the values of the labeled angles?

Before we can solve this question, we need to understand the geometry of the shape.

The shape we have here is a pentagon. The sum of angles in a pentagon is 540.  The angle with a red square is a right angle and the value is 90.

Therefore:

x + 90 + 90 + (x - 44) = 540

x + 180 + x - 44 = 540

2x + 136 = 540

2x = 540 - 136

2x = 404

x = 404/2

x = 202

Also:

(x - 44) = 202 - 44 = 158

Therefore, the angles x and (x - 44) measure 202 and 158 respectively.

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The unknown value x in the polygon is equal to 112 degrees.

Sum of Angles in a Polygon

The sum of angles in the given polygon be equal to 360 degrees. This implies that when we add all the total sides together, we must have a total of 360 degrees.

Since one of the indicated sides is a right angle, we can sum everything up and solve for x

Mathematically;

[tex]90 + 90 + x +(x - 44) = 360[/tex]

Solving the equation above;

[tex]180 + x + x - 44 = 360\\180 + 2x - 44 = 360\\x = 112[/tex]

The value of x in the figure given is 112.

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Montraie drove 220 miles in 5 hours. If he continued at the same rate, how long would it take to travel 88 miles?

Answers

The time taken for Montraie to travel a distance of 88 miles is 2 hours.

How long would it take for Montraie to travel 88 miles?

Speed is simply referred to as distance traveled per unit time.

It expressed mathematically as;

Speed = Distance ÷ time.

Given the data in the question;

Distance covered = 220 milesTime elapsed = 5 hoursSpeed = ?

First, we determine the speed of Montraie.

Speed = Distance ÷ time.

Speed =  220 miles ÷ 5 hours

Speed = 44 miles per hour.

Now, time spent in traveling a distance of 88 miles will be;

Speed = Distance ÷ time

Time = Distance / Speed

Time = 88 miles / 44 miles per hour

Time = 2 hours

Therefore, the elapsed time is 2 hours.

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If Montraie drove 220 miles in 5 hours. If he continued at the same rate, then it takes 2 hours to travel 88 miles.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that,

Montraie drove 220 miles in 5 hours.

We need to find how long it would take to reach 88 miles.

Let us form a equation based on given data.

Let x be the time to reach 88 miles.

We need to find value of x.

220/5=88/x

Apply cross multiplication

220x=440

x=440/220

x=2

Hence it takes 2 hours to travel 88 miles with same rate.

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Help please I will give brainliest

Answers

The unknown angle in the triangle is as follows;

∠H = 38 degrees.

How to find angles in a triangle?

The angle H can be found using the exterior angle theorem.

The exterior angle theorem states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles.

In other words,  an exterior angle of a triangle is equal to the sum of the two opposite interior angles.

Hence,

∠DFG = ∠G + ∠H

∠DFG = 14x + 1

∠G  = 89°

∠H = 5x - 7

14x + 1 = 89 + 5x - 7

14x + 1 = 89 - 7 + 5x

14x - 5x = 89 - 7 - 1

9x = 81

divide both sides by 9

x = 81 / 9

x = 9

Therefore,

∠H = 5(9) - 7 = 45 - 7 = 38 degrees.

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Fernando has been saving money to buy an e–book reader. A store has just marked
down the price of its readers by 40%. Each reader comes with a mail-in rebate for
$25.
If the reader used to cost $150, what will Fernando's final price be after the markdown
and rebate?
Complete each step to solve the problem.

1. How much money will Fernando save because of the 40% markdown? Show your
work.
2. The total amount off includes the markdown and rebate. What is the total amount
off?
3. What will the final price of the reader be? Show your work.

Answers

Answer: 65$

Step-by-step explanation:

1. 40% of 150 is 60 so 60$ off of 150 is 90

2. total amount off is 85$. 60 is the 40% off and additional 25 for the rebate

3. final price will be 65$. 90-25=65

Please help I don’t know what it is

Which methods correctly solve for the variable r in the equation 3/8r+ 2 = 14?
Select all that apply.

Answers

The third option is the correct method that solves for the variable r in the equation

Which method will solve for the variable in the equation correctly?

Given the equation: 3/8r+ 2 = 14

Subtract 2 from both sides:

3/8r = 12

Multiply both sides by 8:

3r = 12 x 8

3r = 96

Divide both sides by 3:

r = 96/3 = 32

Therefore, the method that solve the variable r in the equation correctly is the third option.

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WILL GIVE BRIANLSIT AND EXTRA POINTS TO BEST ANSWER!! HELP

Eva wants to buy a bicycle.

.The bicycle costs $250.

Eva already has $125 saved.

She plans on washing cars for $25 per car.

Ereed wash c cars to have enough to purchase the bicycle.

Select the 3 orrect equations below that can be used to represent when she will be able to purchase the bicycle she wants

Answers

The correct equations which can be used to represent when she will be able to purchase the bicycle she wants are:

250 = 125+25c125 = 25cc = 5

Given, Eva wants to buy a bicycle.

The cost of bicycle is = $250

Saving's of Eva = $125

Eva plans on washing cars for $25 per car.

Eva wash 'c' cars to have enough to purchase the bicycle.

cost of bicycle = saving's of Eva + Eva washing 'c' cars for $25 per car.

⇒ 250 = 125 + 25c

arrange the like terms on one side.

⇒ 250 - 125 = 25c

⇒ 125  = 25c

⇒ 25c = 125

⇒ c = 125/25

⇒ c = 5

hence Eva washes 5 cars to earn $125 which gets added to the savings and becomes the cost of the bicycle she wants to purchase.

⇒ cost of bicycle = 125+25(5)

⇒ cost of bicycle = 125+125

⇒ cost of bicycle  = $250

Hence we got the required answers.

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