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Tems11 [23]
3 years ago
15

Deanna was solving the following equation, 5(x + 2) - 4 = 16.

Mathematics
1 answer:
zaharov [31]3 years ago
7 0

Answer:

Add 4 to each side

Step-by-step explanation:

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I need HELPPP!!!! T^T
Artemon [7]
The answer is 3 square units
8 0
2 years ago
Express the recurring decimal 0.142 recurring as a fraction in its simplest form.
kupik [55]

Answer:

7/165

Step-by-step explanation:

We take number after the decimal point     042

then we subtract  the non repeating.In this case is 0 so we not subtract anything

This will be the numerator  42

For each repeating decimal we write a 9 (in this case 2 nines)

For each non repeating decimal we write a zero

Denominator is 990

42/990  =  7/165

7:165 = 0.0424242

I think this is what you do. Hope it helps!

5 0
3 years ago
A regular pentagon has an apothem of 7.3 inches and a perimeter of 53 inches. What is the area of the pentagon? Round your answe
zvonat [6]

Answer:

Area pf the regular pentagon is 193inch^{2} to the nearest whole number

Step-by-step explanation:

In this question, we are tasked with calculating the area of a regular pentagon, given the apothem and the perimeter

Mathematically, the area of a regular pentagon given the apothem and the perimeter can be calculated using the formula below;

Area of regular pentagon = 1/2 × apothem × perimeter

From the question, we can identify that the value of the apothem is 7.3 inches, while the value of the perimeter is 53 inches

We plug these values into the equation above to get;

Area = 1/2 × 7.3× 53 = 386.9/2 = 193.45 which is 193inch^{2} to the nearest whole number

3 0
3 years ago
Read 2 more answers
The length of a rectangular picture frame is 4 inches shorter than its width. If the perimeter of the picture frame is 44 inches
Vladimir [108]

Answer:

11

Step-by-step explanation:

44*4=44

4 0
2 years ago
Read 2 more answers
Problem PageQuestion Working together, two pumps can drain a certain pool in hours. If it takes the older pump hours to drain th
gizmo_the_mogwai [7]

Answer:

10.5 hours.

Step-by-step explanation:

Please consider the complete question.

Working together, two pumps can drain a certain pool in  6  hours. If it takes the older pump  14  hours to drain the pool by itself, how long will it take the newer pump to drain the pool on its own?

Let t represent time taken by newer pump in hours to drain the pool on its own.

So part of pool drained by newer pump in one hour would be \frac{1}{t}.

We have been given that it takes the older pump 14 hours to drain the pool by itself, so part of pool drained by older pump in one hour would be \frac{1}{14}.

Part of pool drained by both pumps working together in one hour would be \frac{1}{6}.

Now, we will equate the sum of part of pool emptied by both pumps with  \frac{1}{6} and solve for t as:

\frac{1}{14}+\frac{1}{t}=\frac{1}{6}

\frac{1}{14}\times 42t+\frac{1}{t}\times 42t=\frac{1}{6}\times 42t

3t+42=7t

7t=3t+42

7t-3t=3t-3t+42

4t=42

\frac{4t}{4}=\frac{42}{4}

t=10.5

Therefore, it will take 10.5 hours for the newer pump to drain the pool on its own.

6 0
3 years ago
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