First we will find the total measure of the second base.
Second base is extended more so that meas it will measure extended part plus the first base.
Second base = 7 + 5 = 12.
Now for the area.
A = 1/2(b1+b2)(h)
A = 1/2(7 + 12)(7)
A = 66.5
The area is 66.5 ft²
Hope this helps :)
Answer:
One solution.
Step-by-step explanation:
Step 1: Write equation
5(x + 2) - 3 = 3x - 8x + 7
Step 2: Solve for <em>x</em>
<u>Distribute 5:</u> 5x + 10 - 3 = 3x - 8x + 7
<u>Combine like terms:</u> 5x + 7 = -5x + 7
<u>Add 5x to both sides:</u> 10x + 7 = 7
<u>Subtract 7 on both sides:</u> 10x = 0
<u>Divide both sides by 10:</u> x = 0
Step 3: Check
<em>Plug in x to verify if it's a solution.</em>
5(0 + 2) - 3 = 3(0) - 8(0) + 7
5(2) - 3 = 7
10 - 3 = 7
7 = 7
Answer:
8.5% (you can approximate that, that's the exact number and it isn't too funky)
Step-by-step explanation:
Percentage is out of 100, and over here we see that 200 is 2 times the amount of 100. So that means that if we divide 200 by 2, we get 100, which means we also divide 19/2 to get 8.5. That means, out of 100 light bulbs, 8.5 of them burned out. This is really easy to convert because the percentage is already out of 100, so you just make 8.5 into a percent which is 8.5%
Let me know if you have any questions.
Answer:
There were 14 cartons of size 2 rackets and 24 cartons of size 3 rackets
Step-by-step explanation:
Assume that the number of cartons holding 2 rackets is x and the number of cartons holding 3 rackets is y
∵ There are x cartons of 2 rackets
∵ There are y cartons of 3 rackets
∵ They used 38 cartons
∴ x + y = 38 ⇒ (1)
∵ They packed a total of 100 rackets
∴ 2x + 3y = 100 ⇒ (2)
Let us solve the system of equations
→ Multiply equation (1) by -2 to make the coefficients of x in
the equations equal in values and different is signs
∵ -2(x) + -2(y) = -2(38)
∴ -2x - 2y = -76 ⇒ (3)
→ Add equations (2) and (3)
∴ y = 24
→ Substitute the value of y in equation (1) or (2) to find x
∵ x + 24 = 38
→ Subtract 24 from both sides
∴ x + 24 - 24 = 38 - 24
∴ x = 14
There were 14 cartons of size 2 rackets and 24 cartons of size 3 rackets
Answer:
4. false
5. false
Step-by-step explanation:
4. so sometimes it is false and sometimes true; i went with false just because sometimes it is not true and it not being true some of the time is definitely dominant.
5. simple. lol
