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ioda
3 years ago
6

All of the following are equivalent to 2(2a + b) + 8, except _____.

Mathematics
2 answers:
Nady [450]3 years ago
7 0
Where are the choices to the problem??
Rama09 [41]3 years ago
7 0

Answer:

C) 4(a + b + 2)

Step-by-step explanation:

In order to determine which equations is not equivalent to 2(2a + b) + 8, we need to solve the equation and match it with the options which are as follows:

A) 4a + 2b + 8

B) 2(2a + b + 4)

C) 4(a + b + 2)

D) 4a + 2(b + 4)

Therefore the equation, 2(2a + b) + 8 = 4a + 2b + 8

The first one 4a + 2b + 8 does match the equation mentioned in question.

The second one 2(2a + b + 4)  = 4a + 2b + 8, therefore this is also equivalent.

The third one 4(a + b + 2)  = 4a + 4b + 8. This one however is not equivalent to 2(2a + b) + 8 = 4a + 2b + 8.

The fourth one 4a + 2(b + 4) = 4a + 2b +8, this one is equivalent to 2(2a + b) + 8 = 4a + 2b + 8.

Hence, C) 4(a + b + 2)  is the only one that is not equivalent to the equation 2(2a + b) + 8

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Martha invested a principal amount of $15,000 into a savings account that earns simple interest at a rate of 4.5% per year. How
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Option A

The simple interest earned over 6 years is $ 4050

<em><u>Solution:</u></em>

Martha invested a principal amount of $15,000 into a savings account that earns simple interest at a rate of 4.5% per year

<em><u>The formula for simple interest is given as:</u></em>

Simple\ Interest = \frac{p \times n \times r}{100}

Where, "p" is the principal and "n" is the number of years and "r" is the rate of interest

From given,

p = 15000

r = 4.5 %

n = 6 years

<em><u>Substituting the values we get,</u></em>

Simple\ Interest = \frac{15000 \times 4.5 \times 6}{100}\\\\Simple\ Interest = 150 \times 4.5 \times 6\\\\Simple\ Interest = 4050

Thus simple interest earned over 6 years is $ 4050

6 0
3 years ago
A high school band has 63 members. 2/9 of the members play a
leonid [27]
14 students play a brass instrument :)
3 0
2 years ago
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Many people enjoy challenging themselves by running in marathons. A marathon is a 26-mile race. The runners wear numbers that id
Rudiy27
First we clear y from the given equation
 x + 10y = 260
 10y = 260-x
 y = (260-x) / (10)
 Then, we evaluate the function within the domain of it
 x = 0
 y = (260- (0)) / (10)
 y = (260) / (10)
 y = 26
 x = 10
 y = (260- (10)) / (10)
 y = (250) / (10)
 y = 25
 That is, you travel 1 mile in 10 minutes.
 Therefore, traveling 26 miles will take:
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6 0
3 years ago
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Write the word sentence as an inequality -5/9 is no less than 5 times a number k. An inequality is
Stolb23 [73]

Answer:

-5/9 ≥ 5k

Step-by-step explanation:

no less than means greater than or equal to because -5/9 is the lowest it can go (nothing less than), meaning that number or higher. 5 times a number k is just 5 times k, which is 5k to the inequality is

-5/9 ≥ 5k

8 0
2 years ago
NEED HELP NOW! SOLVE THE INEQUALITY: -r/3 ≤ 6
larisa [96]

Answer:

r\geq -18

Step-by-step explanation:

\frac{-r}{3} \leq 6\\\rule{150}{0.5}\\(\frac{-r}{3})*3\leq 6*3\\\\-r \leq 18\\\\\frac{-r \leq 18}{-1}\\\\\boxed{ r\geq -18}

Hope this helps!

5 0
3 years ago
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