Answer:
12. a = 2
13. 
Step-by-step explanation:
12.
6a(a + 3) = 2a(3a + 5) + 16
First, distribute 6a on the left side, and distribute 2a on the right side.
6a² + 18a = 6a² + 10a + 16
Subtract 6a² from both sides.
18a = 10a + 16
Subtract 10a from both sides.
8a = 16
Divide both sides by 8.
a = 2
13.
The LCD of 2 and 3 is 6. We multiply both sides of the equation by 6 to get rid of all denominators.
Combine like terms on the left side. Distribute the 2 on the right side.
Subtract 2x from both sides.
Divide both sides by 3.
Convert pounds to kilograms.
1 pound = 0.4536 kg.
170 pounds x 0.4536 = 77.11 kg.
Multiply weight by grams of protein per kg.
77.11 kg x 1.4 =107.95 grams. Round answer as needed.
Answer:
For random samples of 100 seniors, 68% of the sample means fall between 340 and 520
Step-by-step explanation:
As a property of normal distribution, 68% of sample means fall between mean - sigma(430 - 90 = 340) and mean + sigma (430 + 90 = 520) (here, sigma is standard deviation).
Hope this helps!
:)
Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
The first two steps are for the purpose of eliminating fractions. Doing so results in 4(2x - 5) = 9(x - 2), which is to be solved for x.
Perform the indicated multiplication, obtaining:
8x - 20 = 9x - 18.
Then combine like terms: -2 = x, or
x = -2.
To complete the formal check, substitute -2 for x in the first equation. This results in:
(1/3)(-4 - 5) = (3/4)(-2 -2), or
-3 = -3
... which is obviously true.
