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Strike441 [17]
3 years ago
5

Find the value of the expression: −0.5(7b−12a)−(8.4a−14b) if a=−10; b=−6.

Mathematics
1 answer:
ELEN [110]3 years ago
3 0

Replace a and b in the equation with their values given:

-0.5(7(-6)-12(-10)-(8.4(-10)-14(-6))

Multiply within the parentheses

-0.5(-42 + 120) -(-84 + 84)

Add inside the parenthesis:

-0.5(78)-0

Multiply:

-.05 x 78 = -39

The answer is -39

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can someone help me understand this, please? For some reason my answer is correct but I need to understand how did I found the c
Morgarella [4.7K]

Answer with step-by-step explanation:

The way the question is worded, this actually shouldn't be correct. The correct answer should be 3:4.

Because the trapezoids are similar, we can find the ratio of their perimeters by actually just finding the ratio of their sides.

Why?

By definition, the corresponding sides of a polygon are in a constant proportion. The perimeter is simply the sum of all sides of the polygon. Since we're just adding the sides, the proportion will still be maintained.

Therefore, we'll just need to ratio of their corresponding sides. The only two corresponding sides that are marked are \overline{RS} and \overline{AB}.

The ratio of \overline{RS}:\overline{AB} is 18:24\implies \boxed{3:4}.

The reason why it ideally should be 3:4 and not 4:3 is because the question states RTSU\sim ABCD, which mentions RSTU first, so our answer should follow this respective order. I believe you were marked right anyways because the specific order is not specified, but generally, you want to give your answer respectively by default.

3 0
2 years ago
Jason’s savings account has a balance of $2179. After 5 years , what will the amount of interest be at 6% compounded quarterly?
satela [25.4K]

Answer:

$755.80

Step-by-step explanation:

Determine the compound amount first and then subtract the principal from it, to find the amount of interest.

The compound amount formula is A = P (1 + r/n)^(nt), where

P is the initial principal, r is the interest rate as a decimal fraction, n is the number of compounding periods per year, and t is the number of years.  Here, P = $2179; t = 5 yrs; r = 0.06; and n = 4 (quarterly compounding).

We get:

A = $2179(1 + 0.06/4)^(4*5), or $2179(1.015)^20, or $2179(1.347) = $2937.80.

The compound amount is $2934.80.  Subtracting the $2179 principal results in the interest earned:  $755.80.

5 0
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IrinaK [193]

Answer:

it gives u a green marble.

Step-by-step explanation:

If I have 1 red marble replaced by a green marble then I have a green marble.

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3 years ago
3/4x+3-2x= -1/4+1/2x+5<br> What is the value of x
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Step-by-step explanation:

3/4x+3-2x=1/4+1/2x+5

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