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podryga [215]
3 years ago
8

What is an equivalent equation for 5a+15c+1000-6a+8.5c+500+250

Mathematics
1 answer:
IrinaK [193]3 years ago
4 0
9a+23.5c+1750. Is the answer
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A rectangular piece of metal is 30 in longer than it is wide. Squares with sides 6 in long are cut from the four corners and the
Alexandra [31]

Answer:

length=53 in

width= 23 in

Step-by-step explanation:

First, we know that each corner has now a square of 6 in long, so the heigth of the box will be of this size (as you can see in the picture attached). Then, the length and the width of the box would be the same as the piece, but with 12 in less. Therefore the equations to solve the problem are:

h=6 in\\w=x-12\\l=x+30-12\\l=x+18\\\\V: volume of the box\\V=6*(x-12)*(x+18)\\2706=6x^{2}+36x-1296\\0=6x^{2}+36x-4002\\\\

We factorize the 6 and we get:

0=x^{2}+6x-667\\

Finally we solve for x, and we get the initial dimensions of the piece of metal:

x=23l=30+x=30+23=53 in\\w=x= 23 in

7 0
4 years ago
The measure of an angle is 34 degrees. What is the measure of the supplementary angle.
prohojiy [21]

Answer:

<em>146</em>

Step-by-step explanation:

Supllementary angles add up to 180 degrees.

<em>180-34 = 146</em>

7 0
3 years ago
6. Solve the equation x2 = 80.
jonny [76]

Answer:

40

Step-by-step explanation:

80/2=40

4 0
3 years ago
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Lisa hikes 9 miles in 2 hours. At this rate, how far does she hike in hours?
defon
4.5 miles in 1 hour
7 0
3 years ago
Identify the figure that illustrates "A reflection in line k."
dlinn [17]

The 1st figure is correct, the 4th one seems very similar to the 1st one. But the red shape is closer to line k. So the 1st one is correct

8 0
3 years ago
Read 2 more answers
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