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White raven [17]
3 years ago
12

diane charges $10 for a house call plus $35 an hour for electrical work. if she made $150 on one job,how many hours did she work

?
Mathematics
2 answers:
salantis [7]3 years ago
8 0
The equation would be 35x +10 = 150
35x =140 (subtraction property)
x = 4
Answer: she worked for 4 hours
masha68 [24]3 years ago
4 0
Hi there,
From what I can understand from your question,
35x + 10x= $150
45x= $150
x= $150 / 45
  = 3.333333 hrs
  = 3 1/3 hrs
Pardon me if this is wrong

Hope this helps:))

~Top
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15% of 90 hours<br> 15% of 90 hours
Blizzard [7]

Answer:

15 percent of 90 hours = 13.5 hours

What is 15% of 90?

Y is 15% of 90

Equation: Y = P% * X

Solving our equation for Y

Y = P% * X

Y = 15% * 90

Converting percent to decimal:

p = 15%/100 = 0.15

Y = 0.15 * 90

Y = 13.5

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3 years ago
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Use the distributive property to remove the parentheses. (y-3)10​
vlada-n [284]

Answer:

10y-30

Step-by-step explanation:

10*1y=10y

-3*10=-30

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2 years ago
2. Solve the system of equations. Write your answer in parametric vector notation. X, +5x2 + 4x3 + 3x4 +9xs = 18 2x, +6x2 + 4x3
ratelena [41]

Answer:

The system is inconsistent.

Step-by-step explanation:

The system is

x_1+5x_2+4x_3+3x_4+9x_5=18\\2x_1+6x_2+4x_3+6x_4+6x_5=28\\3x_1+7x_2+4x_3+10x_4+x_5=41\\4x_1+6x_2+2x_3+7x_4+4x_5=29

The associated matrix to the system is

\left[\begin{array}{cccccc}1&5&4&3&9&18\\2&6&4&6&6&28\\3&7&4&10&1&41\\4&6&2&7&4&29\end{array}\right]

Now we use row operations to find the echelon form of the matrix:

1. We substract to row 2, two times the row 1.

We substract to row 3, three times the row 1.

We substract to row 4, four times the row 1 and obtain the matrix

\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&-4&-4&0&-12&-8\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]

2. We multiply the second row of the preview step by -1/4. We obtain the matrix

\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]

3.

We add to row 3, eight times the row 2.

We add to row 4, fourtheen times the row 2 and obtain the matrix

\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&-5&10&-155\end{array}\right]

4. We add to row 4 of the preview step, five times the row 3 and obtain the matrix

\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&0&0&-140\end{array}\right]

Using backward substitution we have that

0x_5=-140, then 0=-140 and this is absurd. Then The system is inconsistent.

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Step-by-step explanation:

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Step-by-step explanation:

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