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3 years ago

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2

Mathematics

1 answer:

andrezito [222]3 years ago

3 0

Answer:

$3x+2y=315\\\\2x+4y=450$

is the system of equations representing the situation.

Step-by-step explanation:

Given:

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.

Now, to find the system of equations representing the situation.

Let the number of haircuts be $x.$

Let the number of hair dyes be $y.$

So, Alexandra can give 3 haircuts and 2 hair dyes in:

$3x+2y=315.$

Now, giving 2 haircuts and 4 hair dyes in:

$2x+4y=450.$

Therefore,

$3x+2y=315\\\\2x+4y=450$

is the system of equations representing the situation.

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yKpoI14uk [10]

$\huge\boxed{\textsf{A.}\ 78.5\ \text{in}^2}$

Correction to your question text: diameter, not radius.

The area of a circle is given by:

$A=\pi r^2$

The radius is half of the diameter.

$A=\pi\cdot\left(\dfrac{10}{2}\right)^2$

Substitute and solve.

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1 year ago

Dhanraj spent $204.20 purchasing volleyballs and basketballs.

Lemur [1.5K]

Answer:

Number of volleyballs bought = 8

Number of basketballs bought = 11

Step-by-step explanation:

Given that:

Total amount spent = $204.20

Let,

x be the number of volleyballs

y be the number of basketballs

According to given statement;

y = x+3 Eqn 1

8.20x+12.60y=204.20 Eqn 2

Putting value of y from Eqn 1 in Eqn 2

8.20x + 12.60(x+3) = 204.20

8.20x + 12.60x + 37.80 = 204.20

20.80x = 204.20 - 37.80

20.80x = 166.40

Dividing both sides by 20.80

$\frac{20.80x}{20.80}=\frac{166.40}{20.80}\\x=8$

Putting x=8 in Eqn 1

y = 8+3 = 11

Hence,

Number of volleyballs bought = 8

Number of basketballs bought = 11

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3 years ago

A 5-kilogram bag of cement costs $18.15. What is the unit price?

Gnom [1K]

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Step-by-step explanation:because if we divide 18.15 by 5 is equal 3.63.

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solmaris [256]

Answer:

The correct option is A) Once an individual is selected, the individual cannot be selected again.

Step-by-step explanation:

Consider the provided statement.

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If a bag contains 5 red and 3 white ball and you randomly select a white ball, the probability of selecting the white ball is 3/8.

Now if the experiment is done by without replacement that means the white ball (which you have selected) is no longer the part of the sample space.

Hence, we can say that once an individual is selected, the individual cannot be selected again.

Thus, the correct option is A) Once an individual is selected, the individual cannot be selected again.

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