A park volunteer plans to work on the park's stone walls for 1 hour every Monday, 1 hour every
Wednesday, and 3 hours on Fridays. The graph shows the number of hours he plans to work for a
given number of weeks. Complete parts a through c.

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

A linear graph has an equation in the form y = mx + b, where y and x are variables, m is the slope of the line and b is the y intercept (that is value of y at x = 0).

a) y represent the number of hours worked and x represent the number of weeks. The points are represented in the form (x, y).

First we can find the slope of the line by picking two points from the graph. Let us use (0, 0) and (2, 10). The slope m is given as:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{10-0}{2-0} \\\\m=5[/tex]

The slope and constant of proportionality is 5.

b) The equation can be gotten using the points (0, 0) and (2, 10). Therefore:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-0=\frac{10-0}{2-0}(x-0)\\\\y=5x\\\\[/tex]

c) In 16 weeks (i.e. x = 16):

y = 5x

y = 5(16)

y = 80 hours


Related Questions


Which values are greater than -2

Answers

Answer:

what are the choices

Step-by-step explanation:

-1 0 1 2 3 4 5 and up_____

the graph for the equation y=2x+4 is shown below if another poisonous graph so that the system has one solution which equation could that be? y=2x-4 y=2(x+2) y=2(x-4( y=x+4)

Answers

Answer:

The graph below shows that y = x+4 has one solution the rest are all parallel.

Step-by-step explanation:

Answer:

y = x + 4

Intersects at (0,4).

Step-by-step explanation:

y = 2x -4: No solution(parallel)

y = 2(x+2): Infinite many solutions(same line)

y = 2(x-4): No solution(Also parallel)

y = x + 4: One Solution(Intersects at (0,4)).

Calculate and express your answer in decimal form (0.25)•60

Answers

Answer:

0.15

Step-by-step explanation:

what is 604,000,000 expressed in scientific notation?

A 6.04x10^8
B 6.04x10^-8
C 6.04x10^9
D 0.604x10^9

Answers

Step-by-step explanation:

6.04 × 10^8

is a right answer it will be helpful

During a sale each item in the store is 80% off it's regular price if the regular price of a t-shirt is $18 how much is the discount ?

Answers

Answer:

so u will pay 3.82 and u will save 15.26 dollars

Step-by-step explanation:

Answer:

14.40$

Step-by-step explanation:

Quiz
The sum of these angles is 90 degrees

Answers

Answer:

30+30+30

Step-by-step explanation:

Help please please help me please please help please please ASAP please please help please please ASAP please please help

Answers

Answer:

the answer is 13 .

Step-by-step explanation:

it is a right angle which is 90 degrees, they already gave you 53 and 24 so you add those and get 77. then you subtract 77 from 90. that gives you 13!

Answer:

Start with: sin 53° = 24/w

Multiply both sides by w: w × (sin 53°) = 24

Divide both sides by "sin 53°": w = 24 / (sin 53°)

Calculate: w = 24 / 0.79863551

 w = 30.1

Step-by-step explanation:

i think this is it not entirely sure hope it helps

Kasey needs 1.5 cups of milk and 4 cups of sugar to make 12 muffins. She plans to make 36 muffins . How many fl oz of sugar does she need

Answers

Answer:

12 cups of milk

Step-by-step explanation:

36/12= 3

4 x 3= 12

So the Answer is 12 cups of milk

What is the transversal line with the parallel angles DA and BC

Answers

Answer:

Line CA

Step-by-step explanation:

A transversal is a line that intersects two parallel lines at an angle

BA would not be a transversal to the given lines because it is instead a perpendicular line

1.) A florist sells bouquets for $12.25 each. Amiyah
has $61.25 to spend. How many bouquets can she
afford?

Use x to represent the number of bouquets that
Amiyah can afford.

Equation: Choose one.
a) x + 12.25 = 61.25
b) x - 12.25 = 61.25
c) 12.25x= 61.25
d) 61.25x = 12.25
Solve. Show work

Giving 20 points please helpppp

Answers

Answer is c
61.25 divided by 12.25 is 5
So she has enough for 5 bouquets

I need help. Me and my friend are arguing is it pronounced math or maths. first to tell me gets 20 points

Answers

ngl It’s both i think there’s a reason to why both words exist lol

answer

its obviously math

on if: x = -3, y = 8, and z = -4. x + y + z*
W

Answers

Answer:

use desmos

Step-by-step explanation:

it will help you a lot on this question

There are 60 cookies and 10 cupcakes leftover at a
bake sale. What is the ratio of cupcakes to
cookies? Your answer it must be in simplest form.

Answers

Answer:

1:6

Step-by-step explanation:

10cc:60C

5cc:30C

1cc:6C

1 meter of ribbon costs $3
how much do you pay for 2 3/4
If correct I will brainest u

Answers

Answer:

You pay $8 [tex]\frac{1}{4}[/tex] for 2 [tex]\frac{3}{4}[/tex] meters of ribbon

Step-by-step explanation:

Let us solve the question

∵ 1 meter of ribbon costs $3

∵ We need to find the cost of 2 [tex]\frac{3}{4}[/tex] meters

→ Separate the length of the ribbon to a whole number and a fraction

∵ The length of the ribbon = 2 m + [tex]\frac{3}{4}[/tex] m

→ Multiply each part by the cost of 1 meter

∵ The cost of 1 meter = 3 dollars

∴ The cost of the ribbon = 3 × 2 + 3 × [tex]\frac{3}{4}[/tex]

The cost of the ribbon = 6 + [tex]\frac{9}{4}[/tex] dollars

→ Change the improper fraction [tex]\frac{9}{4}[/tex] to a mixed number

∵ 9 ÷ 4 = 2 [tex]\frac{1}{4}[/tex]

∴ The cost of the ribbon = 6 + 2 + [tex]\frac{1}{4}[/tex]

∴ The cost of the ribbon = 8 + [tex]\frac{1}{4}[/tex]

∴ The cost of the ribbon = 8 [tex]\frac{1}{4}[/tex] dollars

You pay $8 [tex]\frac{1}{4}[/tex] for 2 [tex]\frac{3}{4}[/tex] meters of ribbon

need help this is new to me

Answers

Answer:

Equation Representation

Hence you have 12 on the right and 4c on the left Hence 12=4c

Abraham has visited 10 countries already. he has a goal of visiting at least 50 countries. he plans to achieve this goal by visiting 5 new countries per year(y) for the next several

years.how many years will it take Abraham to meet his goal?​

Answers

It will take Abraham a total of 8 years to complete his goal.

Given that
9^-1/2 = 27^1/4 ÷ 3^x+1
Find the exact value of x. ​

Answers

Answer:

Find the exact value using trigonometric identities.

Exact Form: x=34

Decimal Form: x=0.75

Step-by-step explanation:

The value of x is 3.

What is algebra?

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

Given:

[tex]9^{-1/2} = 27^{1/4}[/tex]÷[tex]3^{x +1}[/tex]

[tex][3^{2}]^{{-1/2}} = [(3)^{4}]^{1/4}[/tex] ÷[tex]3^{x +1}[/tex]

[tex]3^{-1}[/tex] = 3 ÷[tex]3^{x +1}[/tex]

[tex]3^{-1}[/tex]= [tex]\frac{3}{3^{x+1}}[/tex]

[tex]3^{-1}= 3^{1-x+1}[/tex]

[tex]3^{-1}= 3^{2-x}[/tex]

On comparing we get,

-1=2-x

x= 3

Hence, the value of x is 3.

Learn more about this algebra here:

brainly.com/question/953809

#SPJ2

   

Complete the table for each given sequence: On = 15+3(n − 1)

Answers

Answer:

The complete table will be:

Term #                Value of aₙ

1                            15

5                           27

10                          42

20                         72

Step-by-step explanation:

Given the sequence expression

aₙ = 15 + 3(n-1)

Substituting n = 1 for the first term

aₙ = 15 + 3(n-1)

a₁ = 15 + 3(1-1)

a₁ = 15 + 3(0)

a₁ = 15 + 0

a₁ = 15

Substituting n = 5 for the 5th term

aₙ = 15 + 3(n-1)

a₅ = 15 + 3(5-1)

a₅ = 15 + 3(4)

a₅ = 15 + 12

a₅ = 27

Substituting n = 10 for the 10th term

aₙ = 15 + 3(n-1)

a₁₀ = 15 + 3(10-1)

a₁₀ = 15 + 3(9)

a₁₀ = 15 + 27

a₁₀ = 42

Substituting n = 20 for the 20th term

aₙ = 15 + 3(n-1)

a₂₀ = 15 + 3(20-1)

a₂₀ = 15 + 3(19)

a₂₀ = 15 + 57

a₂₀ = 72

Therefore, the complete table will be:

Term #                Value of aₙ

1                            15

5                           27

10                          42

20                         72

Look at pic please. :)

Answers

Answer:

$0.40 per minute

Step-by-step explanation:

You divide 6.40 by 16 to get 0.40.

To fact check this, I multiplied 0.40 by 16 and got 6.40.

What is the perimeter?

Answers

Answer:

38

Step-by-step explanation:

9²+10² = 38

Hannah looked at 2 websites every 6 hours. At that rate how many would she look at in 9 hours?

Answers

Answer:  at that rate she would check 3 websites, coz

in 6hrs she checks 2 websites,

so, she'll check 1 website in = 6/2 = 3hrs

so in 9 hrs she'll check = 9/3 = 3 websites

Hope it helped u,

mark as the brainliest

^_^

What is the value of -9 + (-4 + 7) (2)?

Answers

Answer:

try -3

Step-by-step explanation:

−6 = x8+4
what is x?

Answers

Take the root of both sides and solve.

x = 8√−10, −8√−10

Which situation does the integer 3 best represent?
A: 3 yards behind the winner
B: Finding $3 in a pocket
C: Losing $3
D: 3 feet below the ground
?

Answers

The answer is A hope this helps

The diameter of a circle is 2 km. What is the circle's radius?
The radius of the circle is
km.
Enter the answer

Answers

Answer:

1km

Step-by-step explanation:

radius is half the diameter

diameter is double the radius

Answer:

1km

Step-by-step explanation:

diameter: the whole circle

diameter formula: d=2r

radius: half of the circle

Just remember to divide the diameter by two to get the radius

*extra bonus thing* circumference: πd

r=radius

d=diameter

π=3.14

may sound complicated but its just dividing and multiplying.

Hope this helped.

Which of the following statements are true?
Select all that apply.

Answers

Answer: 1 2and 4

Step-by-step explanation:

What is the value of sin(A)?

Answers

Answer:

3/5

Step-by-step explanation:

Answer:

Sin(A) =3/5 is answer

Step-by-step explanation:

I hope it's helpful!

Colin buys a car for £20000. It depreciates at a rate of 6% per year. How much will it be worth in 2 years? Give your answer to the nearest penny where appropriate.

Answers

The worth of the car in 2 years is £1767.2

How to determine the worth of the car?

The given parameters are:

Value, a = £20000

Depreciation rate, r = 6%

The value of the car in t years is represented as:

f(t) = a *(1 - r)^t

This gives

f(t) = 2000 * (1 - 6%)^t

In 2 years, t = 2

So, we have:

f(2) = 2000 * (1 - 6%)^2

Evaluate

f(2) = 1767.2

Hence, the worth of the car in 2 years is £1767.2

Read more about exponential functions at:

https://brainly.com/question/14355665

#SPJ1

what is one fifth of the difference of a number and 1

Answers

Answer:

1/5(1-x)

Step-by-step explanation:

Distributed

1/5-1/5x

Answer:1/5 (n-1)

Step-by-step explanation: Because say 1/5 and difference means subtract and number means variable and 1 means subtract it with the variable.

Last year at a certain high school, there were 75 boys on the honor roll and 120 girls on the honor roll. This year, the number of boys on the honor roll increased by 24%, and the number of girls on the honor roll increased by 10%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).

Answers

Answer:

15.4

Step-by-step explanation:

im too tired to explain -_-

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