All categories

2 years ago

5. The rectangular pool has an area of 520 square feet. The length of 3

Mathematics

1 answer:

erastovalidia [21]2 years ago

4 0

Answer:

z*(z - 3) = 520

Step-by-step explanation:

Use the following representations:

Width: W

Length: L = W + 3, or W = L - 3

Area = L*W = L*(L - 3) = 520

Equation b) is the correct one: z*(z - 3) = 520

You might be interested in

1. Identify a pair of alternate exterior angles.

alisha [4.7K]

First answer is the fourth one, 2 and 6

3 0

3 years ago

Gina opened a bank account with $40. She plans to add $20 per week to the account and not make any withdrawals. After how many w

ZanzabumX [31]

Answer:

After 33 weeks.

Step-by-step explanation:

Let w be number of weeks.

We have been given that Gina opened a bank account with $40. She plans to add $20 per week to the account and not make any withdrawals. So the balance after w weeks will be 20w+40.

To figure out number of weeks Gina will have exactly $700 in her account, we will equate the balance after w weeks to 700.

$20w+40=700$

Let us subtract 40 from both sides of equation.

$20w+40-40=700-40$

$20w=660$

Upon Dividing both sides of our equation by 20 we will get,

$\frac{20w}{20}=\frac{660}{20}$

$w=\frac{660}{20}$

$w=33$

Therefore, after 33 weeks Gina will have exactly $700 in her account, excluding interest.

6 0

3 years ago

Sixty photos taken at a photo shoot are in black and white. If this represents 15 percent of the total number of photos taken, w

Oduvanchick [21]

If this represents 15 percent of the total number of photos taken, which equation can be used to find the total number of photos? A. 60×4/15×4 = 240/60.

5 0

2 years ago

Read 2 more answers

Which expression is equivalent to *picture attached*

DiKsa [7]

Answer:

The correct option is;

$4 \left (\dfrac{50 (50+1) (2\times 50+1)}{6} \right ) +3 \left (\dfrac{50(51) }{2} \right )$

Step-by-step explanation:

The given expression is presented as follows;

$\sum\limits _{n = 1}^{50}n\times \left (4\cdot n + 3 \right )$

Which can be expanded into the following form;

$\sum\limits _{n = 1}^{50} \left (4\cdot n^2 + 3 \cdot n\right ) = 4 \times \sum\limits _{n = 1}^{50} \left n^2 + 3 \times\sum\limits _{n = 1}^{50} n$

From which we have;

$\sum\limits _{k = 1}^{n} \left k^2 = \dfrac{n \times (n+1) \times(2n+1)}{6}$

$\sum\limits _{k = 1}^{n} \left k = \dfrac{n \times (n+1) }{2}$

Therefore, substituting the value of n = 50 we have;

$\sum\limits _{n = 1}^{50} \left k^2 = \dfrac{50 \times (50+1) \times(2\cdot 50+1)}{6}$

$\sum\limits _{k = 1}^{50} \left k = \dfrac{50 \times (50+1) }{2}$

Which gives;

$4 \times \sum\limits _{n = 1}^{50} \left n^2 = 4 \times \dfrac{n \times (n+1) \times(2n+1)}{6} = 4 \times \dfrac{50 \times (50+1) \times(2 \times 50+1)}{6}$

$3 \times\sum\limits _{n = 1}^{50} n = 3 \times \dfrac{n \times (n+1) }{2} = 3 \times \dfrac{50 \times (51) }{2}$

$\sum\limits _{n = 1}^{50}n\times \left (4\cdot n + 3 \right ) = 4 \times \dfrac{50 \times (50+1) \times(2\times 50+1)}{6} +3 \times \dfrac{50 \times (51) }{2}$

Therefore, we have;

$4 \left (\dfrac{50 (50+1) (2\times 50+1)}{6} \right ) +3 \left (\dfrac{50(51) }{2} \right )$ .

4 0

2 years ago

Please help with math

MAXImum [283]

The last one is correct

6 0

3 years ago