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2 years ago

Combine like terms to create an equivalent expression. -2/3p + 1/5 - 1 + 5/6p

2 answers:

7 0

Combine like terms to create an equivalent expression. -2/3p + 1/5 - 1 + 5/6p

 $- \dfrac{2}{3}p+ \dfrac{1}{5}-1+ \dfrac{5}{6}p= \\ \\ \\ - \dfrac{2}{3}p+ \dfrac{5}{6}p+ \dfrac{1}{5}-1= \\ \\ \\ - \dfrac{2*2}{3*2}p+ \dfrac{5}{6}p+ \dfrac{1-5}{5}= \\ \\ \\ - \dfrac{4}{6}p+ \dfrac{5}{6}p+ -\dfrac{4}{5}= \boxed{ \dfrac{1}{6}p -\dfrac{4}{5}}$

Marat540 [252]2 years ago

5 0

Move the expression around so variables are with variables and numbers with numbers: 5/6p-2/3p+1/5-1

create a common denominator for variables and numbers: 5/6p-4/6p+1/5-5/5

simplify: 1/6p-4/5

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Multistep Sandy charges each family that she babysits a flat fee of $10 for the night and an extra $5 per child.kimmi charges $2

Llana [10]

N= night c= child
sandy= $10+$5c
kimmi= $25n
if sandy babysits 3 children for one night they will both be the same price
sandy= $10+5(3)=$25
kimmi= $25

5 0

2 years ago

Read 2 more answers

What is the equation of the line that passes through

irinina [24]

Solve equation for y.

5x - y = 3

-y = -5x + 3

y = (-5x + 3)/(-1)

y = 5x - 3

The slope for this equation is 5.

The slope of the equation we want is the negative reciprocal of 5.

Let m = slope of equation we want.

m = -1/5

We are given the point (10,4).

Plug both into the point-slope formula.

y - 4 = (-1/5)(x - 10)

y - 4 = (-1/5)x + 2

y = (-1/5)x + 2 + 4

The equation we want is

y = (-1/5)x + 6

Did you follow?

7 0

3 years ago

Write the equation of the function that can be modeled by this table?

Alika [10]

Answer:

y = 3x + 5

Step-by-step explanation:

y = mx + b (slope-intercept form)

( $x_{1}$ , $y_{1}$ )

( $x_{2}$ , $y_{2}$ )

Slope m = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

y - $y_{1}$ = m( x - $x_{1}$ ) (point-slope form of linear equation)

~~~~~~~~~~~~~~~

3 0

2 years ago

On his drive from Montpelier, Vermont, to Columbia, South Carolina, Arthur averaged 51 mph. If he had been able to average 60 mp

Llana [10]

Answer:

Distance between Montpelier and Columbia is 1020

Step-by-step explanation:

51 mi/hr average:

d = 51 t

60 mi/hr average:

d t = 60*(t-3)

Substitute (1) into (2)

51 t = 60*(t-3)

51 t = 60 t + 180

9 t = 180

t = 20

d = 51 t

= 51 (20)

= 1020

let see distance is 1020 lets check

51 t = 60 * (t-3)

51 (20)= 60* (20-3)

1020 = 60*17

1020 = 1020

4 0

3 years ago

If tatianna works 3hrs a day on school days and make $123.75 a week what is her hourly rate?

madreJ [45]

Answer:

Her hourly rate is $8.25

Explanation:

Tatianna works 3 hours a day on school days and makes a total of $123.75 in a week

We know that:

There are 5 school days in a week

We are given that:

She works for 3 hours a day each of those days

Therefore:

Total number of hours worked = hours worked daily * number of days

Total number of hours worked = 3 * 5 = 15 hours in a week

The equation used to calculate Tatianna's earnings is:

Amount she makes in a week = Total number of hours worked * hourly rate

Now, we substitute with the givens to get the hourly rate as follows:

Amount she makes in a week = Total number of hours worked * hourly rate

123.75 = 15 * hourly rate

Hourly rate = $8.25

6 0

3 years ago