The grade of a hill is its steepness represented as a percent. Jin tracks his walking speed up different hills. What does the rate of change, or slope,

represent in this situation?

Answers

Answer 1

Answer: The rate represents a decrease in speed for each 1% grade increases.

Step-by-step explanation:

Answer 2

You can use the fact that normal slope is measurement of how much the height changes as we walk on the ground for a unit distance forward. And that percent calculates everything compared to 100 parts.

The rate of change or slope, in this situation tells that if we walk 100 units horizontally, then the slope percent gives us the amount of height increased compared to height before walking 100 units.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

How to measure the rate of change of something as some other value changes?

Suppose that we have to measure the rate of change of y as x changes, then we have:

[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

where we have

[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]

Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.

(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)

Converting rate of change or slope to percentage

(where dependent variable is height and the independent variable is the distance walked horizontally)

Slope percent  = [tex]Slope \times 100[/tex] = [tex]\dfrac{y_2 - y_1}{x_2 - x_1} \times 100[/tex]

This, shows that, if we walk 100 units horizontally, then the slope percent gives us the amount of height increased.

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Related Questions

Select the three models that represent 45%.

Answers

Answer:

All but the one on the bottom left

Answer:

Step-by-step explanation:

Rory scored more than 12 points in his basketball game last night.

Select the inequality and number line that represent the number of points, p, Rory scored.

p > 12
p < 12
p = 12

Answers

Answer:

p > 12, p = 12

Step-by-step explanation:

She said she scored more than 12. It could be equal too.

Answer:

I am late on this but it could help some other people!

Step-by-step explanation:

Option A because it shows that the value of his score is greater than 12.

A circle has a radius of 8 cm. A good estimate for the circumference of the circle is 24 cm.

True

False

Answers

The answer is true, ive had this question before

Answer:

false

Step-by-step explanation:

answers is 50.27

If f(x) =
(3+2)
what is a + 2)?
(x-3)
O A.
(5+a)
(a -1)
O B.
3+ f(a +2)
(a)-1
O c.
(3+a)
+2
(a-3)

Answers

Answer:

      5 + a

A:  ---------

       a - 1

Step-by-step explanation:

          3+x                                       3 + a + 2

f(x) = ---------- becomes  f(a + 2) = ------------------

          x-3                                          a + 2 - 3

                                                                                                      5 + a

when a + 2 is substituted for x.  This last result simplifies to ------------

                                                                                                        a - 1  

which matches Answer A.

pls help will mark brainliest if right !

Answers

Answer:

some

some

some

some

no

Step-by-step explanation:

Answer:

1) no triangles

2)some triangles

3)no triangles

4)no triangles

5)all triangles

Step-by-step explanation:

i think that is right not sure tho

Which of these expressions correctly represents the phrase “17 less than three times a number”?

Answers

3x-17......................

Answer:

3n - 17

Step-by-step explanation:

This phrase includes subtraction (“less than”) and multiplication (“times”). We are multiplying a number (3) by the variable to create the term 3n. Subtraction is not commutative, so order does matter. 17 less than 3n means we have 3n and take 17 away: 3n - 17.

What is the area of the trapezoid shown below?

Answers

Answer:

A. 78 Sq units

Step-by-step explanation:

Area of the trapezoid

[tex] = \frac{1}{ \cancel2} (19 + 7) \times \cancel6 \\ \\ = 26 \times 3 \\ \\ = 78 \: sq \: units[/tex]

Which rate is equivalent to the unit rate of 13 miles per gallon?

.Options.
A: 26 miles/2 gallons
B: 2 gallons/ 26 miles
C: 39 miles/ 4 gallons
D: 4 gallons/ 39 miles


(Answer quick please I need this fast)

Answers

Answer:

a

Step-by-step explanation:

26 divided by 2 is 13

Find QR.
Q
6
560
R
S
Write your answer as an integer or as a decimal rounded to the nearest tenth.
QR =

Answers

Answer:

QR ≈ 5.0

Step-by-step explanation:

Using the sine ratio in the right triangle

sin56° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{QR}{QS}[/tex] = [tex]\frac{QR}{6}[/tex] ( multiply both sides by 6 )

6 × sin56° = QR , then

QR ≈ 5.0 ( to the nearest tenth )

There are some Chicken and rabbits in a cage. There are 20 heads and 62 feet in total, the question is: how many chicken and rabbits in the cage?​

Answers

Answer:There are 72 heads (chicken and rabbit) and 200 legs. How many chickens and rabbits are present totally?

Step-by-step explanation

There are 72 heads (chicken and rabbit) and 200 legs. How many chickens and rabbits are present totally?

Legs of a chicken = 2

Legs of a rabbit = 4

Total heads = 72

Total legs= 200

Let's assume that each of them has minimum 2 legs.

So 72*2 = 144 legs

Remaining legs: 200-144= 56

These remaining legs belong to rabbit because rabbit has 4 legs each.

2*Rabbits= 56

Rabbits= 56/2 = 28

Out of 72, 28 are rabbits. So there are 72-28= 44 chicken.

The ratio of men to women working for a company is 7 to 5. If there are 312 employees total, how many women work for the company

Answers

there would be 130 women working for the company because 5x26=130 and 7x26=182 and 130+182=312

A right triangle is displayed.
36 in
60 in


The area of the right triangle is

Answers

Answer:

864 in²

Step-by-step explanation:

Use the pythagorean theorem to find the missing side.

36²+x²=60² (x is the missing length of the side)

1296 + x² = 3600

x² = 2304

x = 48

Then use the area of a triangle formula: base·height/2

Substituting 36 for the height and 48 for the base, we get:

48·36/2, which is 864.

If cot(theta)=1.5 and theta is in quadrant 3, what is the value of sin theta

Answers

[tex]ans = \boxed{ 0.6}[/tex]

[tex]since \: cot( \theta)= \frac{1}{ \tan( \theta) } \\ \frac{1}{ \tan( \theta) } = 1.5 \\ (1.5)\tan( \theta) = 1 \\ \tan( \theta) = \frac{1}{1.5} = 0.6666666667 \\ \theta = { \tan}^{ - 1} (0.6666666667) \\ \theta = 33.69 \\ hence: \sin( \theta) = \sin(33.69) = 0.5546992156[/tex]

Write the expression. Then, check all that apply.

Four times a number increased by seven

A 2-column table with 5 rows. Column 1 is labeled Key words with entries four, times, a number, increased by, seven. Column 2 is labeled Replace with entries 4, x, n, + , 7.

Replace “a number” with the variable, n.


The two operations are multiplication and addition.

The two operations are multiplication and subtraction.

The expression is written as 4n + 7.

The expression is written as 4n – 7.

Answers

Answer:

Step-by-step explanation:

The answer is 1 2 and 4

The correct options are 1 and 3.

The expression can be written as 4n + 7, involving multiplication and addition.

Given is a verbal expression "Four times a number increased by seven"

We need to convert it into algebraic expression.

So,

Replace "a number" with the variable, n.

This means we replace the phrase "a number" in the expression with the variable "n".

So, the expression becomes "Four times n increased by seven," which can be written as "4n + 7."

The two operations are multiplication and addition.

This option is correct.

The expression involves two operations: multiplication and addition.

We have "Four times a number" which means we multiply the number by 4, and then "increased by seven" means we add 7 to the result.

So, the expression can be written as 4n + 7, where 4n represents the multiplication and +7 represents the addition.

The expression is written as 4n + 7.

This option is correct. The given expression "Four times a number increased by seven" can be written as 4n + 7, where 4n represents the multiplication of the number by 4 and +7 represents the addition of 7 to the result.

So, the correct options are 1 and 3.

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a cookie recipe at a bakery uses three cups of peanut butter chips for every two cups of chocolate chips that it uses. given the variables below which equation correctly relates the amount of chocolate and peanut butter chips needed to make a batch of cookies?
x: cups of chocolate chips needed for one batch
y: cups of peanut butter chips needed for one batch
A. y=1.5x
B. x= 5y
C. x=1.5y
D. y=5x​

Answers

C. x = 1.5y

This is the answer

As, 3y/2x = 1.5y/x

So, by this ratio we get,

x = 1.5y

There were 450 people at a play. The admission price was $2 for adults and $1 for children. The admission receipts were $680. How many adults in how many children attended

Answers

Answer:

Adults= 110

Children= 340

Step-by-step explanation:

Given data

let adults be x

and children be y

x+y= 450----------1

2x+y=680---------2

from 1

x= 450-y

put this in 2

2(450-y)=680

900-2y=680

900-680=2y

220=2y

y= 220/2

y= 110

x+110= 450

x= 450-110

x=340

adam is rewriting the expression

Answers

Answer:

Adam is typing...

Step-by-step explanation:

The last time it placed an order for ingredients, Sweet Treats Bakery ordered 820 kilograms of sugar. This time, the bakery is ordering 779 kilograms. What is the percent of decrease in the size of the sugar order?

Answers

Answer:

5%

Step-by-step explanation:

820 - 779 = 41. 41/820 = 0.05. 0.05 = 5%

Britt has decided that she wants to earn $4,000 over the next 10 months to set aside for a down payment on a car. Britt currently works some afternoons and evenings babysitting. She makes $8 per hour. At this pay rate, how many hours will Britt need to work each month to accomplish her goal?

Answers

She needs to work 8 hours per hour to work the rate of hours

This question is dealing with rates. Rates are just to show a measure of what we are to use, give or pay e.t.c per time as the case may be.

Britt needs to work 50 hours each month to accomplish her goal.

She wants to make $4,000 and she makes $8 per hour.

This means, amount of hours she need to make $4,000 is;

4000/8 = 500 hours

Since she wants this money over 10 months, it means every month she needs to work; 500/10 = 50 hours per month.

In conclusion, britt needs to work 50 hours each month to accomplish her goal.

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The ratio of girls to boys in Liza’s classroom is 5 to 4.

How many girls are in her classroom if there is a total of 27 students?

12

9

54

15

Answers

Answer:

15

Step-by-step explanation:

5+4=9

27÷9=3

girl's ratio is 5 so

5×3=15

answer is 15

The 14th Street Bakery baked 4562 cookies for an upcoming giveaway. They are giving away 101 boxes of cookies, each with the same amount of whole cookies. Which of the following statements is true?

Answers

Answer:

?? what are the answer choices?

Step-by-step explanation:

What is the circumference of this circle, in centimeters? (Fake question)

Answers

Answer:

3,o217383737283636666666666678899

Answer:

5

Step-by-step explanation:

is logical .... ...........

The sail on the sailboat shown below forms a right
triangle whose hypotenuse has length 13 feet and
whose vertical side has length 12 feet. If cloth for the sail costs $10 per square foot, what is the cost of the
sail?

Answers

Answer:

5

Step-by-step explanation:

\dfrac32=5d-\dfrac12

2

3



=5d−

2

1

Answers

?????????? ...... Where’s the question

Find the values of x and y

Answers

Answer:

x = 2

y = 12

Step-by-step explanation:

In triangle ABD, CE is the mid segment.

Therefore, by mid segment theorem:

2(5x - 3) = x + 12

10x - 6 = x + 12

10x - x = 12 + 6

9x = 18

x = 18/9

x = 2

Since, DE = EA

2y - 4 = y + 8

2y - y = 8 + 4

y = 12

Solve the simultaneous equations
2x + 4y = 1
3x - 5y = 7
y=1.5 x=
What does x equal

Answers

Answer:

The solution to the system of equations be:

x = 0.5,  y = -0.5

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}2x+4y=1\\ 3x-5y=7\end{bmatrix}[/tex]

Multiply 2x+4y=1 by 3:      6x+12y=3

Multiply 3x-5y=7 by 2:      6x-10y=14

[tex]\begin{bmatrix}6x+12y=3\\ 6x-10y=14\end{bmatrix}[/tex]

subtracting the equations

[tex]6x-10y=14[/tex]

[tex]-[/tex]

[tex]\underline{6x+12y=3}[/tex]

[tex]-22y=11[/tex]

solve -22y for y

[tex]-22y=11[/tex]

Divide both sides by -22

[tex]\frac{-22y}{-22}=\frac{11}{-22}[/tex]

Simplify

[tex]y=-\frac{1}{2}[/tex]

[tex]y = -0.5[/tex]

For 6x+12y=3 plug in y = -1/2

[tex]6x+12\left(-\frac{1}{2}\right)=3[/tex]

[tex]6x-12\cdot \frac{1}{2}=3[/tex]

[tex]6x-6=3[/tex]

Add 6 to both sides

[tex]6x-6+6=3+6[/tex]

[tex]\frac{6x}{6}=\frac{9}{6}[/tex]

Simplification

[tex]x=\frac{3}{2}[/tex]

[tex]x = 1.5[/tex]

Therefore, the solution to the system of equations be:

x = 0.5,  y = -0.5

Tim has 5 apples and 3 bags with 8 apples in each bag. How many apples does Tim have in all?


Ok so before you even tell me the answer please tell me like in numbers like how do I show my work

Answers

Answer:

Step-by-step explanation:

of the space in Jamie's drawer is taken up by animal figures, and is taken up by action figures. He wants to store his basketball card collection in the drawer, too. How much room do the figures take up? Will he have any room left for the cards?

Answers

Answer:

74

Step-by-step explanation:

Categorize the graph as linear increasing, linear decreasing, exponential
growth, or exponential decay.
A.Exponential decay
B. Linear decreasing
C. Linear increasing
D. Exponential growth

Answers

Answer:

B

Step-by-step explanation:

Since the graph shows a straight line and not a curved graph, this is a linear equation.

And since the line is sloping downwards, it is decreasing.

Our final answer is linear decreasing.

The category of the function of the graph in the figure is a (b) Linear decreasing graph

How to determine the graph category?

Any graph that is represented by a straight line is a linear graph

The above statement means that the graph is a linear graph because it is represented by a straight line.

The orientation of the line also means that:

As x increases, the value of y decreases

Hence, the category of the graph is a (b) Linear decreasing graph

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Plz help me I'm too Du-mb

Answers

Answer:

5

Step-by-step explanation:

You must have x alone

Answer:

5

Step-by-step explanation:

everyone else is smarter than me

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