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Rainbow [258]
3 years ago
9

The amount of money it takes to fill up a gas tank varies directly with the number of gallons bought. It cost $21.87 to fill up

a car with gasoline with 9 gallons of gasoline. What is the constant of variation?
A) 0.41

B) 9

C) 2.43

D) 21.87
Mathematics
1 answer:
Kobotan [32]3 years ago
5 0

I believe the answer is C. 2.43

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Slips of paper numbered 1 to 15 are placed in a box. A slip of paper is drawn at random. What is the probability that the number
monitta

Given:

Slips of paper numbered 1 to 15 are placed in a box.

To find:

The probability that the number picked is either a multiple of 5 or an odd number.

Solution:

We have,

Total outcomes = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15

No. of total outcomes = 15

Multiple of 5 are 5, 10, 15.

Odd numbers are 1, 3, 5, 7, 9, 11, 13, 15.

Number that are either a multiple of 5 or an odd number are 1, 3, 5, 7, 9, 10, 11, 13, 15.

No. of favorable outcomes = 9

We know that,

\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

\text{Probability}=\dfrac{9}{15}

\text{Probability}=\dfrac{3}{5}

\text{Probability}=0.6

Therefore, the  probability that the number picked is either a multiple of 5 or an odd number is 0.6.

8 0
3 years ago
Noah says to find 20% of a number he divides the number by 5. Is this true explain your answer
Nutka1998 [239]

Answer:

yes

Step-by-step explanation:

note that 20% = \frac{20}{100} = \frac{1}{5}

Hence to find 20% of a number, dividing the number by 5 is correct

20% of £30 = \frac{30}{5} = £6


5 0
3 years ago
If (62)x = 1 what is the value of x? Explain your answer.
Alex
Whenever you solve an equation with a single variable you need to isolate the variable by itself on one side of the equal sign.  Just be sure that whatever operations you perform on one side you perform on the other sides as well.

62x=1  divide both sides by 62

x=1/62
3 0
4 years ago
What is the product of 2x + y and 5x – y + 3? x2 + xy + x + y2 + y
miskamm [114]

Answer: 10x^2+3xy+6x-y^2+3y

Step-by-step explanation:

You need to remember the Product of powers property:

(a^m)(a^n)=a^{(m+n)}

Then, knowing this property, now you have to apply the Distributive property. So:

(2x+y)(5x-y+3)=\\\\=(2x)(5x)-(2x)(y)+(2x)(3)+(y)(5x)-(y)(y)+(y)(3)\\\\=10x^2-2xy+6x+5xy-y^2+3y

Finally, to simplify this expression, you need to add the like terms.

Therefore, you get that the product is:

=10x^2+3xy+6x-y^2+3y

3 0
3 years ago
Read 2 more answers
The test scores for a math class are shown below.
Nady [450]

Answer:

c. 4.7

Step-by-step explanation:

first, you find the mean of data set:

83 + 85 + 82 + 93 + 83 + 84 + 95 + 87 + 86 + 94 = 872/10 = 87.2

then, you take each number and subtract the mean and square it:

(87.2 - 83)² = (4.2)² = 17.64

(87.2 - 85)² = (2.2)² = 4.84

(87.2 - 82)² = (5.2)² = 27.04

(93 - 87.2)² = (5.8)² = 33.64

(87.2 - 83)² = (4.2)² = 17.64

(87.2 - 84)² = (3.2)² = 10.24

(95 - 87.2)² = (7.8)² = 60.84

(87.2 - 87)² = (0.2)² = 0.04

(87.2 - 86)² = (1.2)² = 1.44

(94 - 87.2)² = (6.8)² = 46.24

now, find the mean of the squared numbers:

17.64 + 4.84 + 27.04 + 33.64 + 17.64 + 10.24 + 60.84 + 0.04 + 1.44 + 46.24 = 219.6/10 = 21.96

then, take the square root of the number you just got:

√21.96 = 4.68

and last but not least, round to the nearest tenth: 4.7

6 0
3 years ago
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