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saveliy_v [14]
3 years ago
11

If you earn $48 in 4 hours. What is the unit rate per hour?​

Mathematics
2 answers:
LiRa [457]3 years ago
5 0

Answer:

$12

Step-by-step explanation:

erma4kov [3.2K]3 years ago
3 0
48/4 = 12. So $12 per hour
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If angle three is equal to 6x+16 and angle seven is equal to 2x+2 , solve for x.
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1. Maryann is tracking the change in her vertical jump over 6 months. Use the table to write a linear function that models her j
ArbitrLikvidat [17]

Answer:

Part 1) Option A. f of x equals one half times x plus 16

Part 2) Option  A. x = 5

Part 3) Option C. x − 4y = −9

Part 4) Option A. The number of rides is the independent variable, and the total cost is the dependent variable.

Step-by-step explanation:

Part 1)

Let

x -----> the number of months

y ----> vertical jump in inches

step 1

Find the slope

we have the points

(0,16) and (2,17)

m=(17-16)/(2-0)=\frac{1}{2}

The equation of the line in slope intercept form is

y=mx+b

we have

m=\frac{1}{2}

b=16 -----> the point (0,16) is the y-intercept

substitute

y=\frac{1}{2}x+16

convert to function notation

f(x)=y

f(x)=\frac{1}{2}x+16

Part 2) What is the equation of a line that contains the points (5, 0) and (5, −2)?

step 1

Find the slope

we have the points

(5, 0) and (5, −2)

m=(-2-0)/(5-5)=\frac{-2}{0}

the slope is undefined

This is a vertical line (parallel to the y-axis)

therefore

The equation is

x=5

Part 3) Choose the equation that represents a line that passes through points (−1, 2) and (3, 1)

step 1

Find the slope

we have the points

(−1, 2) and (3, 1)

m=(1-2)/(3+1)=-\frac{1}{4}  

step 2

Find the equation of the line into point slope form

y-y1=m(x-x1)

we have

m=-\frac{1}{4}

point\ (3, 1)

substitute

y-1=-\frac{1}{4}(x-5)

Convert to standard form

Multiply by 4 both sides to remove the fraction

4y-4=-(x-5)

4y-4=-x+5

x-4y=-4-5

x-4y=-9

Part 4) Jewels has $6.75 to ride the ferry around Connecticut. It will cost her $0.45 every time she rides. Identify the dependent variable and independent variable in this scenario

we know that

The <u>independent variable</u> is the variable whose change isn’t affected by any other variable (An example the age and time)

The <u>dependent variable</u> it’s what changes as a result of the changes to the independent variable (An example of a dependent variable is how tall you are at different ages. The dependent variable (height) depends on the independent variable (age))

Let

x ----> the number of rides

y ----> the total cost in dollars

In this problem

The independent variable or input is the number of rides

The dependent variable or output is the total cost

5 0
3 years ago
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