The area of a rectangular pool is 8342 m .
If the width of the pool is 86 m, what is its length?

Answer: 1

[tex](\frac{x^{a+b} }{x^{c} }) ^{a-b}.(\frac{x^{b+c} }{x^{a} }) ^{b-c} .(\frac{x^{c+a} }{x^{b} })^{c-a}\\\\= \frac{x^{(a+b)(a-b)} }{x^{c(a-b)} }.\frac{x^{(b+c)(b-c)} }{x^{a(b-c)} }.\frac{x^{(c+a)(c-a)} }{x^{b(c-a)} }\\\\=\frac{x^{a^{2}-b^{2} } }{x^{ac-bc} }.\frac{x^{b^{2}-c^{2} } }{x^{ab-ac} }.\frac{x^{c^{2}-a^{2} } }{x^{bc-ab} } \\\\=\frac{x^{a^{2}-b^{2}+b^{2}-c^{2}+c^{2}-a^{2} } }{x^{ac-bc+ab-ac+bc-ab} }\\\\=\frac{x^{0} }{x^{0} }=1[/tex]

Step-by-step explanation:

Answer:

six plastic bricks and four wooden blocks

Step-by-step explanation:

plastic bricks=10

wooden blocks:5

lets make plastic x and wooden y

if we made an eight pound mixture of only plastic bricks, that would get us to 80, but would not be enough weight. if we substitute one x pound for two y, we would have 9 pounds and $80. if we substitute this again, we have ten pounds and $80. we added four wooden blocks, and we took two away from the 8 plastic we had, so that is 6 plastic. so we have 6x and 4y, using the variables I assigned for the blocks above.

Answer:

B. 3:24, D. 5:40 E.7:56

Step-by-step explanation:

3:24 = 1:8 (Dividing by 3)

5:40 = 1:8 (Dividing by 5)

7:56 = 1:8 (Dividing by 7)

The ratios that are equivalent to 1:8 are:

3:24, 5:40, and 7:56.

Options B, D, and E are the correct answer.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

A)

16:2

= 16/2

= 8/1

= 8:1

B)

3:24

= 3/24

= 1/8

= 1:8

C)

4:12

= 4/12

= 1/3

= 1:3

D)

5:40

= 5/40

= 1/8

= 1:8

E)

7:56

= 7/56

= 1/8

= 1:8

Thus,

3:24, 5:40, and 7:56 are equivalent to 1:8.

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Answer:

A

Step-by-step explanation:

Answer:

$490

Step-by-step explanation:

$560 divided by 40 is $14 an hour and 14 times 35 is 490, so $490.

Answer:

£490

Step-by-step explanation:

So you do 560 divided by 40, which is 14 then you × 35 by 40 =£490.

Answer:x =24

Step-by-step explanation: If we reverse that we will get x= 32x3/4 which is 24

Answer:

x = -24

Step-by-step explanation:

(-4/3)x -6 =26

Add 6 to both sides:

(-4/3)x = 32

(-4/3) = -1.33333333

divide both sides by -1.33333333

x = -24

Substitute:

(-4/3)(-24) -6 =26

32 - 6 = 26

26 = 26

x = -24

Answer:

RU=4.44500 cementers

Step-by-step explanation:

I learned from my bigger sister

The number of modes in the dataset is 1. The dataset is unimodal. The correct option is therefore;

1 mode

A unimodal data is a set of data that has only one mode. The mode is a measure of central tendency.

The data in the question can be presented as follows;

Kate, Tim, John, John, Angelam, Tim, Sue

The frequency of each of the data is therefore;

Kate; 1, Tim; 1, John; 2, Angela; 1, Tim; 1, Sue; 1

The mode of a dataset, is the value that has the highest frequency, or that appears the most in the dataset.

The data that has the highest frequency is John, the mode of the dataset is therefore, John, which has a frequency of 1

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Answer:

The answer is They are parallel

Step-by-step explanation:

They have the same slope but different y-intercepts

y = 1/3x - 2

y = 1/3x - 30

pls mark me as brainliest

Answer: Parallel

Step-by-step explanation: They never cross therefore making the two equatons parallel lines

The statement (D) The results of all previous events do not affect the probability of future events best describes independent events option (D) is correct.

An independent event is one that is unaffected by other events. The occurrence of one event has no bearing on the other.

We have a statement:

Which best describes independent events?

As we know from the definition of independent events, the events that is unaffected by other events.

Also, the probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Thus, the statement (D) The results of all previous events do not affect the probability of future events best describes independent events option (D) is correct.

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Answer:

Step-by-step explanation:

Number of successful free throws:

Answer:

-20

Step-by-step explanation:

Answer:

z = -3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

z+7=−z+1

Step 2: Add z to both sides.

z+7+z=−z+1+z

2z+7=1

Step 3: Subtract 7 from both sides.

2z+7−7=1−7

2z=−6

Step 4: Divide both sides by 2.

2z   =  −6

2      2

z=−3

Answer:

Why you delete my answer

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

If u add 3 whole numbers to a negative number 4 then it'll equal -1. Think of it like 4-3 but add the negative sign at the begining

Answer:

-1

Step-by-step explanation:

I hope this helps!

Answer:

6

Step-by-step explanation:

122-8 shipping =114 /19=6

Answer:

A

Step-by-step explanation:

Answer: It is E (3, -7)

Answer:

B

Step-by-step explanation:

Cause it's the opposite of the original

Answer:

a

Step-by-step explanation:

Step-by-step explanation:

[tex] f(x) \: = \: \frac{4}{5} - \frac{5}{x + 1} [/tex]

[tex]f(x) \: \: = \: \: \frac{(4)(x + 1) - 5(5)}{5x + 5} [/tex]

[tex]f(x) \: \: = \: \: \frac{4x + 4 - 25}{5x + 5} [/tex]

[tex]f(x) \: \: = \: \: \frac{4x - 21}{5x + 5} [/tex]

f(x) = g(x)

[tex] \frac{4x - 21}{5x + 5} = \frac{2}{5x + 5} [/tex]

4x - 21 = 2

x = (21 + 2)/4

x = 5.75

Answer and Step-by-step explanation:

A)    A(t) = 5000(1 + 0.012)t

B)    A(t) = 106260

A) 5000 is the initial amount, 1 + 0.012 is the interest rate, and t represents the years.

B) When we plug 21 into the equation,  we get 106260.

I hope this helps!

Answer: x>- -40

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

56/2 = 28

28 x 3 = 84

To check work: 84/3 =28

Answer:

$2.10

Step-by-step explanation:

To find the total cost, multiply.

12.25*1.20 = 14.7

Tommy and 6 of his friends means 7 people.

Cost per person will be:

14.7/7 = 2.1

Answer:

18.41

Step-by-step explanation:

[tex]x^{2} = 12^{2} + 8^{2} - 2(12)(8)(cos 133)\\\\x= \sqrt{338.94} = 18.41[/tex]

Answer:

$190.65 for 31 hours

Step-by-step explanation:

P= ha

123=20a

123/20=a

6.15=a

P=6.15h

P= 6.15(31)

p=190.65

Answer:

-84 and -86

Step-by-step explanation:

Answer:

0.0049

Step-by-step explanation:

Answer:

Bottom right

Step-by-step explanation:

Each domain value can only have 1 range value.

An equation which models the relationship between X and Y is

y = 54.5x

The correct answer is option (D) y = 54.5x

What is equation?

"A mathematical statement which contains an equal symbol between two algebraic expressions that have the same value."

From given data we can observe that,

163.5/3 = 54.5                           ...................(1)

327/6 = 54.5                              ...................(2)

599.5/11 = 54.5                          ...................(3)

From (1), (2) and (3),

y/x = 54.5

⇒ y = (54.5)x

Therefore, an equation which models the relationship between X and Y is y = 54.5x

The correct answer is option (D).