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3 years ago

What is the first step in simplifying the expression below?

Mathematics

1 answer:

zlopas [31]3 years ago

6 0

Answer:

subtracting 1 from 3 is the correct answer of this question

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A basketball player made 50 baskets in a season. Of these, 36% were three-point shots. How many three-point shots did the player

kobusy [5.1K]

Answer: 18

Explanation: 50x.36= 18

3 0

3 years ago

Your family is installing a new square pool in the backyard. The existing patio has a side length of 8 feet. How much of the pat

trasher [3.6K]

The question is an illustration of perimeters.

The amount of patio to remove to install the pool is 8 feet.

From the question, we have:

$\mathbf{Length\ of\ the\ pool = 8}$

$\mathbf{Length\ of\ walkway = 1}$

The perimeter of the patio is:

$\mathbf{P_p = 4 \times Length\ of\ the\ pool}$

$\mathbf{P_p = 4 \times 8}$

$\mathbf{P_p = 32}$

A 1ft walkway means that;

1ft would be subtracted from both sides of the patio before installing the pool

So, the perimeter of the patio in terms of the length of the pool is:

$\mathbf{P_p = 4 \times (x +2)}$

Equate both expressions

$\mathbf{P_p = P_p}$

$\mathbf{4 \times (x +2) = 32}$

Divide both sides by 4

$\mathbf{x +2 = 8}$

Subtract 2 from both sides

$\mathbf{x = 6}$

So, the perimeter of the pool is:

$\mathbf{P_{pool} = 4 \times 6}$

$\mathbf{P_{pool} = 24}$

The amount of patio to remove is:

$\mathbf{Amount = P_p - P_{pool}}$

So, we have:

$\mathbf{Amount = 32 - 24}$

$\mathbf{Amount = 8}$

Hence, 8ft of the patio would be removed to install the pool

<em>See attachment for illustration</em>

Read more about perimeters at:

brainly.com/question/6465134

7 0

2 years ago

What is the equation of the line that passes through the point (3,-7) and has a slope of -4/3?

Gemiola [76]

Answer:

4x + 3y + 9 = 0

Step-by-step explanation:

When a slope of a line and a point passing through it is given then we use slope - one point form to determine the equation of the line.

It is given by:

$(y - y_1) = m (x - x_1)$

where $m$ is the slope of the line and

$(x_1, y_1)$ is the point passing through it.

Here, $m = \frac{-4}{3}$ and $(x_1 , y_1) = (3 , -7)$ .

Substituting in the formula $y + 7 = \frac{-4}{3} (x - 3)$

$\implies 3y + 21 = -4x + 12$

$4x + 3y + 9 = 0$

3 0

3 years ago

Find the annual percentage yield for an account with an APR of 13.75% compounded continuously. Round your percentage to two plac

abruzzese [7]

Answer:

14.74%

Step-by-step explanation:

The formula for ANNUAL PERCENTAGE YIELD (APY) for an account that is COMPOUNDED CONTINUOUSLY is given as

APY = Pe^rt - 1

Where P = Principal

e = exponential

r = rate

t = time

Since Principal and Time was not given in the question,

APY = e^r - 1

r = 13.75% = 0.1375

APY = e^0.1375 - 1

APY = 1.147401706 - 1

APY = 0.147401706

Converting to percentage

= 0.147401706 × 100

= 14.7401706%

Approximately to 2 decimal places: 14.74%

Therefore, the annual percentage yield is 14.74%

4 0

4 years ago

Arthur earned 136$ in three weeks he goes back to school in one more week. He needs at least 189$ to buy the new coat that he wa

Lana71 [14]

136/3=45.3

45.3 per week.

136+45.3= 181.3 by the end of next week.

He will be short.

5 0

3 years ago

Read 2 more answers