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marishachu [46]
3 years ago
7

Pls help I don't understand:

Mathematics
1 answer:
sineoko [7]3 years ago
8 0

Answer:

Part a) T(d)=2d+30

Part b) T(6)=42\ minutes

Step-by-step explanation:

Part a) Write an equation for T (d)

Let

d ----> the number of days

T ---> the time in minutes of the treadmill

we know that

The linear equation in slope intercept form is equal to

T=md+b

where

m is the slope or unit rate

b is the y-intercept or initial value

In this problem we have

The slope or unit  rate is

m=2\ \frac{minutes}{day}

The y-intercept or initial value is

b=30\ minutes

substitute

T(d)=2d+30

Part b) Find T (6), the minutes he will spend on the treadmill on day 6

For d=6

substitute in the equation and solve for T

T(6)=2(6)+30

T(6)=42\ minutes

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(7n+4) +(8n-1) please solve this
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Answer:

n= -6

Step-by-step explanation:

Simplifying

4 + -7n = -1(8n + 4) + 2

Reorder the terms:

4 + -7n = -1(4 + 8n) + 2

4 + -7n = (4 * -1 + 8n * -1) + 2

4 + -7n = (-4 + -8n) + 2

Reorder the terms:

4 + -7n = -4 + 2 + -8n

Combine like terms: -4 + 2 = -2

4 + -7n = -2 + -8n

Solving

4 + -7n = -2 + -8n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '8n' to each side of the equation.

4 + -7n + 8n = -2 + -8n + 8n

Combine like terms: -7n + 8n = 1n

4 + 1n = -2 + -8n + 8n

Combine like terms: -8n + 8n = 0

4 + 1n = -2 + 0

4 + 1n = -2

Add '-4' to each side of the equation.

4 + -4 + 1n = -2 + -4

Combine like terms: 4 + -4 = 0

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Combine like terms: -2 + -4 = -6

1n = -6

Divide each side by '1'.

n = -6

Simplifying

n = -6

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3 years ago
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