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3 years ago

There are 35 females performed in a dance recital.The ratio of men to women is 3 : 8. How many men are in the dance recital

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

8 0

Answer:

13 or 13.125 you have to look at your notes to see which it is. Personally I would take 13. Try that first.

Step-by-step explanation:

Be careful how you interpret this question. It reads like this.

3:8 :: x:35

In other words, the 8 and 35 females goes together.

Set this up as a proportion

3/8 = x / 35 Cross multiply

3*35 = 8x Combine the left

105 = 8x Switch

8x = 105 Divide by 8

x = 105 / 8 get the answer

x = 13.125 You cannot have 1/8 of a person. So what are you going to do?

You have to round down. x = 13. How close is this

13/35 = 0.371 as apposed to 0.375 which is what 3/8 is.

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Christopher works at the power plant for the southwest part of his home state. For peak operational performance, his department

kirza4 [7]

<h2>Answer:150 electricians,10 inspectors</h2>

Step-by-step explanation:

The solution uses unitary method.

The unitary method is a method for solving a problem by first finding the value of a single unit and finding the required value by multiplying the single unit value.

Given,

Each generator employs $3$ electricians.

Every $60$ electricians require $4$ inspectors.

So,every electrician require $\frac{4}{60}=\frac{1}{15}$ inspectors.

Anthony's department has $50$ generators.

Since each generator requires $3$ electricians, $50$ generators require $3\times 50=150$ electricians.

Since each electrician needs $\frac{1}{15}$ inspectors, $150$ electricians need $\frac{1}{15} \times 150=10$ inspectors.

So,to maintain peak performance Antony's department requires $150$ electricians and $10$ inspectors.

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3 years ago

Find the unit prices to the nearest tenth of one cent 12 oz for $2.10

vlabodo [156]

Answer:

Concept: Unit Price & Algebraic Representation

You have 12 oz
You have a total price of 2.10
Hence you divide 2.10/12
Your result to the nearest tenth is 0.2
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2 years ago

Sketch the graph of y=2(x+1)^2 and identify the axis of symmetry.

CaHeK987 [17]

The axis of symmetry is (-1,0)

Hope this helps!

6 0

3 years ago

Read 2 more answers

What is the quadratic. Formula?

balu736 [363]

Answer:

$x = \frac{ - b ± \sqrt{ {b }^{2} - 4ac } }{2a}$

Step-by-step explanation:

For example, we'll use this quadratic equation.

${x}^{2} + 5x + 6$

To understand how to plug it into the formula we need to know what each term represents.

$a {x}^{2} + bx + c$

So the equation above would be put into the formula like this.

$x = \frac{ - 5± \sqrt{ {5}^{2} - 4(1)(6) } }{2(1)}$

Then we would solve

$\frac{ - 5± \sqrt{25 - 24} }{2} \\ \\ = \frac{ -5±1}{2}$

Now, the equation will branch off into one that solves when addition and one when subtraction.

$\frac{ - 5 + 1}{2} = \frac{ - 4}{2} = - 2 \\ \\ \frac{ - 5 - 1}{2} = \frac{ - 6}{2} = - 3$

So x={-3, -2} (-3 and -2)

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3 years ago

2. What was the purpose of the Civil Defense system?

galina1969 [7]

Answer: civil protection is an effort to protect the citizens of a state (generally non-combatants) from military attacks and natural disasters. It uses the principles of emergency operations: prevention, mitigation, preparation, response, or emergency evacuation and recovery.

Step-by-step explanation:

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3 years ago