Ralph spends 15 1/3 hours per month playing tennis. How many hours does he play in a year?A.)164 1/3
B.)182 2/3
C.)164
D.)184

Answers

Answer 1

Answer: $1\ month\ \rightarrow\ \ 15 (1)/(3) \ hours\n12\ months \ \rightarrow\ x\n\nx=12\cdot 15 (1)/(3)\n\nx=12\cdot15+12\cdot (1)/(3) \ \ \ \Rightarrow\ \ \ x=180+4=184\ [hours]\n\nAns.\ In\ the\ year\ he\ play\ 184\ hours\ \ \ \Rightarrow\ \ \ D.$

Answer 2

Answer: Multiple hours per month by the months per year.

In this case, 15.33333 by 12 = 184

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Use the rules of exponents to evaluate or simplify. Write without negative exponents.(-243)^3/5

Answers

Answer:

-27

Step-by-step explanation:

(-243)^3/5

We know that a^b^c = a^ (b*c)

(-243) ^ 1/5 ^3

We know (-243) ^ 1/5 = -3

(-3) ^3 = -27

Answer:

-27

(-243)^3/5

(-243)^1/5^3

-3^3=-27

A bouquet of flowers contains 46 flowers and half of them are roses.How many of the flowers are not roses

Answers

Answer:

Step-by-step explanation:

46 divided by 2

equals:23

Which number line represents the solution set for this inequality?

−9x −12 ≤ 42

Answers

Number line 4 will represent the solution set of given inequality

−9x −12 ≤ 42.

What is inequality?

When two numbers or algebraic expressions are in opposition to one another, this is known as an inequality. It can be expressed as greater than, greater than or equal to, less than, or less than or equal to.

Given:

−9x −12 ≤ 42

-9x-12+12≤42+12

-9x ≤ 54

-9x/-9 ≤ 54/-9

x ≤ -6

To know more about inequality please visit:

brainly.com/question/28823603

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Answer:

Number line 4

Step-by-step explanation:

−9x −12 ≤ 42

-9x-12+12≤42+12

-9x≤54

-9x/-9≤54/-9

x≤-6

What is the length of the missing side of the quadrilateral shown if the perimeter is 5x^2+2x+1?

Answers

I am thinking that the quadrilateral is not given to be a rhombus.

The perimeter is the sum of the 4 sides.

Adding 2x^2 + x -1 to 3x^2 -5x and then that sum to 4x^2 gives

9x^2 - 4x - 1 as the sum of the three given sides.

Subtract that from the given perimeter to get the missing side length.

5x^2 + 2x + 1 - (9x^2 -4x -1) =

-4x^2 + 6x + 2

If 75% is 60, what is the full cost?

Answers

If 75% is 60 then:
$0.75x=60$
Solve for x by dividing both sides by 0.75:
$(0.75x)/(0.75)=(60)/(0.75)$
$x=80$

The answer would be 80

What equation is solved by the graphed systems of equations?a. 3x + 4 = 5x - 10
b. 3x - 4 = 5x - 10
c. 3x + 4 = 5x + 10
d. 3x - 4 = 5x + 10

Answers

The solution on the graph is (x,y)=(7,25), so x=7.

$a. \n3x+4=5x-10 \n3x-5x=-10-4 \n-2x=-14 \nx=(-14)/(-2) \nx=7 \n \nb. \n3x-4=5x-10 \n3x-5x=-10+4 \n-2x=-6 \nx=(-6)/(-2) \nx=3 \n \n c. \n3x+4=5x+10 \n3x-5x=10-4 \n-2x=6 \nx=(6)/(-2) \nx=-3 \n \nd. \n 3x-4=5x+10 \n3x-5x=10+4 \n-2x=14 \nx=(14)/(-2) \nx=-7$

x=7 in the equation a, so the answer is A.

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