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3 years ago

9

What is the unit rate of $120 15 books

2 answers:

lbvjy [14]3 years ago

7 0

If 15 books cost $120 in total, that would make each book cost $8. To find this you will take the total amount of $120 and divide it by 15. 120 / 15 =8.

Svetlanka [38]3 years ago

3 0

I think its 8? someone correct me if im wrong.

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Andre is paid $12 per hour at his caddying job and $9.50 per hour working at a local fast food restaurant. He would like to keep

Fynjy0 [20]

The equation that can be used to model this scenario is 12x + 9.5y ≥ 275 and x + y ≤ 25

Let x represents the number of hours Andre works at his caddying job and y represents the number of hours he works at the restaurant.

Since he earn at least $275.00 a week, hence:

12x + 9.5y ≥ 275 (1)

Also, he can work no more than 25 hours, hence:

x + y ≤ 25 (2)

Therefore the equation that can be used to model this scenario is 12x + 9.5y ≥ 275 and x + y ≤ 25

Find out more at: brainly.com/question/25285332

5 0

2 years ago

2x-5y+5z=-10<br> 5x-4y+3z=-19<br> X-y+5z=17

yarga [219]

Answer:

x = -125/71 , y = 448/71 , z = 356/71

Step-by-step explanation:

Solve the following system:

{2 x - 5 y + 5 z = -10 | (equation 1)

5 x - 4 y + 3 z = -19 | (equation 2)

x - y + 5 z = 17 | (equation 3)

Swap equation 1 with equation 2:

{5 x - 4 y + 3 z = -19 | (equation 1)

2 x - 5 y + 5 z = -10 | (equation 2)

x - y + 5 z = 17 | (equation 3)

Subtract 2/5 × (equation 1) from equation 2:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - (17 y)/5 + (19 z)/5 = (-12)/5 | (equation 2)

x - y + 5 z = 17 | (equation 3)

Multiply equation 2 by 5:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y + 19 z = -12 | (equation 2)

x - y + 5 z = 17 | (equation 3)

Subtract 1/5 × (equation 1) from equation 3:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y + 19 z = -12 | (equation 2)

0 x - y/5 + (22 z)/5 = 104/5 | (equation 3)

Multiply equation 3 by 5:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y + 19 z = -12 | (equation 2)

0 x - y + 22 z = 104 | (equation 3)

Subtract 1/17 × (equation 2) from equation 3:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y + 19 z = -12 | (equation 2)

0 x+0 y+(355 z)/17 = 1780/17 | (equation 3)

Multiply equation 3 by 17/5:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y + 19 z = -12 | (equation 2)

0 x+0 y+71 z = 356 | (equation 3)

Divide equation 3 by 71:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y + 19 z = -12 | (equation 2)

0 x+0 y+z = 356/71 | (equation 3)

Subtract 19 × (equation 3) from equation 2:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x - 17 y+0 z = (-7616)/71 | (equation 2)

0 x+0 y+z = 356/71 | (equation 3)

Divide equation 2 by -17:

{5 x - 4 y + 3 z = -19 | (equation 1)

0 x+y+0 z = 448/71 | (equation 2)

0 x+0 y+z = 356/71 | (equation 3)

Add 4 × (equation 2) to equation 1:

{5 x + 0 y+3 z = 443/71 | (equation 1)

0 x+y+0 z = 448/71 | (equation 2)

0 x+0 y+z = 356/71 | (equation 3)

Subtract 3 × (equation 3) from equation 1:

{5 x+0 y+0 z = (-625)/71 | (equation 1)

0 x+y+0 z = 448/71 | (equation 2)

0 x+0 y+z = 356/71 | (equation 3)

Divide equation 1 by 5:

{x+0 y+0 z = (-125)/71 | (equation 1)

0 x+y+0 z = 448/71 | (equation 2)

0 x+0 y+z = 356/71 | (equation 3)

Collect results:

Answer: {x = -125/71 , y = 448/71 , z = 356/71

5 0

3 years ago

Find the midpoint of the segment with the given endpoints.<br><br><br> M(–2, 1) and N(–3, 2)

mafiozo [28]

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
M(\stackrel{x_1}{-2}~,~\stackrel{y_1}{1})\qquad 
N(\stackrel{x_2}{-3}~,~\stackrel{y_2}{2})
\qquad
% coordinates of midpoint 
\left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right)
\\\\\\
\left( \cfrac{-3-2}{2}~~,~~\cfrac{2+1}{2} \right)\implies \left(-\frac{5}{2}~,~\frac{3}{2} \right)$

5 0

3 years ago

Read 2 more answers

Factor the Polynomial completely x^2 + 18

Shtirlitz [24]

x² + 18 = (x - 3√2i)(x + 3√2i)

5 0

3 years ago

Find the missing side lengths. Leave your answer as radicals in simplest form.

bulgar [2K]

Answer:

The value of x is 4√2 and y is 2√6

I hope it helps

8 0

2 years ago