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Komok [63]
3 years ago
11

Peyton needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for

4 hours and charged her $77 for parts. The total was $497. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.
Mathematics
1 answer:
Lady bird [3.3K]3 years ago
4 0

Answer:

105 per hour = x

Step-by-step explanation:

You subtract the parts cost of 77 from the total first.

497 - 77 = 420

Then you divide the 420 by 4 to get the unit rate per hour.

420/4

= 105

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A polling firm wants to contact a random sample of people likely to vote in an upcoming nation-wide election. They will use a ra
Naily [24]

The poll excluded people too young to vote.

7 0
3 years ago
50 POINTS!!!!!!!!!!!!!!!
hram777 [196]

Answer:

10.125

Step-by-step explanation:

Given the data :

28,45,12,34,36,45,19,20

The mean absolute deviation of the data is :

Σ|x - mean| / n

n = number of values = 8

Mean = Σx / n = 239 / 8

Mean = 29.875

Take the sum of the absolute value if the difference between each data value and the mean, then divide by the data size

Using a mean absolute deviation calculator ;

Mean absolute deviation = Σ|x - mean| / n = 10.125

6 0
3 years ago
You start driving east for 14 miles, turn left, and drive north for another 6 miles. At the end of driving, what is your straigh
denpristay [2]

Answer: 15.2

Step-by-step explanation:

(14)^2 + (6)^2 = c^2

196 + 36 = c^2

232 = c^2

Square root both sides

15.231546 = c

15.2 ≈ c

5 0
3 years ago
Given GHI G (4,-3), H (-4,2), and I (2,4), find the perpendicular bisector of HI in standard form.
Olin [163]

Answer:

3x+y=0

Step-by-step explanation:

step 1

Find the slope of segment HI

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

H (-4,2), and I (2,4)

substitute the given points

m=\frac{4-2}{2+4}

m=\frac{2}{6}

simplify

m=\frac{1}{3}

step 2

Find the slope of the perpendicular line to segment HI

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

m_1*m_2=-1

we have

m_1=\frac{1}{3}

so

m_2=-3

step 3

Find the midpoint segment HI

we know that

The formula to calculate the midpoint between two points is equal to

M(\frac{x1+x2}{2},\frac{y1+y2}{2})  

we have

H (-4,2), and I (2,4)

substitute

M(\frac{-4+2}{2},\frac{2+4}{2})

M(-1,3)  

step 4

we know that

The perpendicular bisector of HI is a line perpendicular to HI that passes though the midpoint of HI

Find the equation of the perpendicular bisector of HI in point slope form

y-y1=m(x-x1)

we have

m=-3

M(-1,3)  

substitute

y-3=-3(x+1)

step 5

Convert to slope intercept form

y=mx+b

Isolate the variable y

y-3=-3x-3

y=-3x-3+3

y=-3x

step 6

Convert to standard form

Ax+By=C

where

A is a positive integer

B and C are integers

y=-3x

Adds 3x both sides

3x+y=0

see the attached figure to better understand the problem

3 0
4 years ago
PLS HELP Anna buys bananas and apples. She buys 2 more apples than twice the number
Alecsey [184]

Answer:

You have to put this in a bar model yourself so convert it later

She bought 10 apples

Step-by-step explanation:

3x + 2 = 14

why i did this

because she bought 2 times the amount of bananas, it should be x + 2x = 3x

then i added two because she bought two extra apples

so 3x+2 = 14

subtract 2

3x = 12

x = 4

So now we substitute x in apples

2x +2 = # of apples

8 +2 = 10

check

10 - 2 = 8

8/2 = 4

4 = # of bananas

4 0
3 years ago
Read 2 more answers
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