At a children's show, 2/7 of the people attending were adults.The rest were children.2/5 of the children were boys.There were 120 girls attending the performance. A.How many children were there at the children's show?B.How many people were there at the children's show?

Answers

Answer 1

Answer:

A. 200 Children

B. 280 People

Step-by-step explanation:

Let the total number of people attending the show be Y

Given that  2/7 of the people attending were adults, the number of adults A

A = 2/7 Y

Since the rest were children, the number of children C

C = Y - 2/7 Y

= 5/7 Y

2/5 of the children were boys, the number of boys B

B = 2/5 * 5/7Y

= 2/7 Y

The number of Girls G

G = 5/7 Y - 2/7 Y

= 3/7 Y

Given that there were 120 girls attending the performance

3/7 Y = 120

3Y = 120 * 7

Y = 120 * 7/3

= 280

The number of children in the shown C

= 5/7 * 280

= 200

The number of people at the show is Y = 280


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A triangle has two sides that are 6in and 13in. What could the length of the third side of the triangle be?

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Answer:

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Abby has 12 quarters in her piggy bank. Estimate how many cents she has by rounding the number of quarters to the nearest ten.

Answers

honestly i was a little confused with the way this question was worded so please tell me if i did something wrong or if i didn't explain/understand this right!

answer:

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step-by-step explanation:

well we know that 4 quarters equal one whole dollar so what i did was divide 12 by 4 to get 3 whole dollars

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= 3 dollars

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

L= length

w= width= L-3

A= area= 238 ft^2

LENGTH

Area Formula

A= LW

substitute w value

238= (L)(L- 3)

multiply L by parentheses

238= L^2 - 3L

subtract 238 from both sides

0= L^2 - 3L - 238

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ANSWER: Length= 17 ft; Width= 14 ft

Answer:

Length= 17 ft; Width= 14 ft

Step-by-step explanation:

L= length

w= width= L-3

A= area= 238 ft^2

LENGTH

Area Formula

A= LW

substitute w value

238= (L)(L- 3)

multiply L by parentheses

238= L^2 - 3L

subtract 238 from both sides

0= L^2 - 3L - 238

factor

0= (L + 14)(L - 17)

set each parentheses equal to 0

0= L + 14

-14= L

OR

0= L - 17

17 ft= L

*Since the measure of a rectangle would not be negative, L= 17 ft

WIDTH

w= L - 3

w= 17 - 3

w= 14 ft

ANSWER: Length= 17 ft; Width= 14 ft

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I hope this helps you !

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Step-by-step explanation:

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The Tang Dynasty was a monarchy. Although the government possessed most of the power, they tried to make sure that the people had some too. They divided land from large land owners, and split it between those who had none. This allowed all to have some power and property.

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bc it’s almost half

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Answers

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What is the highest common factor?

The Highest Common Factor (HCF) of two numbers is the highest possible number that is divisible by both numbers.

The highest common factor is the common factor between the two numbers but it should be the highest among all common factors.

As per the given,

He buys 30 blueberries, 54 blackberries, and 72 raspberries.

Distribute each berry into equal numbers into tarts then we needed to find its highest common factor.

The common factors of,

30 = 1, 2, 3, 5, 6, 10, 15, and 30.

54 = 1, 2, 3, 6, 9, 18, 27, and 54.

72 = 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.

HCF = 6

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Answers

Answer:

A school ordered 300 bulbs that cost $1 and 150 bulbs that cost $2.

Step-by-step explanation:

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Twice as many $1 bulbs as $2 bulbs were ordered.

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Put [tex]u=2v[/tex] in [tex]u+2v=600[/tex]

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Step-by-step explanation:

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Answers

The sum of the squares of the two smaller sides is equal to the square of the third side.

What is a triangle?

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

There are many types of triangles such that right angle triangle, equilateral triangle, and much more.

Given,

Δabc is a right-angle triangle

By Pythagoras theorem

Hyp² = perp² + base²

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Hyp = c (longer side)

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c² = a² + b²

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The sum of the squares of the two smaller sides is equal to the squares of the third side.

Option B is the correct answer.

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The triangle above is a right triangle with side lengths a = 7 in, b = 24 in, and c = 25 in.

We need to see which option is true.

What is the Pythagorean theorem?

It states that in a right-angled triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

The triangle above is a right triangle with side lengths:

a = 7 in

b = 24 in

c = 25 in

Here c = hypotenuse.

So applying the Pythagorean theorem.

c^2 = a^2 + b^2

25^2 = 7^2 + 24^2

625 = 49 + 576

625 = 625

We see that the given values satisfy the Pythagorean theorem.

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Option B is the correct answer.

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Dont click the linktrust me

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Answer:

‐1c -22

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6(3c-4)-2(5c-1)

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kelsey goes cliff diving into the ocean. Her height as a function of time can be modeled by the function h(t)=-16t^2+480, where t is the time in seconds and h is the height in feet. How long does it take for Kelsey to reach the water?

Answers

Answer:

to differential calculus, because I don't know how to answer this question without

using it.

We're told that Jason's height above the water is  H(t) = -16t² + 16t + 480 .

We can observe many things from this equation:

-- Up is the positive direction; down is the negative direction.

-- The acceleration of gravity is 32 ft/sec² .

-- Jason jumps upward from the cliff, at 16 ft/sec .

-- The cliff is 480-ft above the water.

(This tells us why the question is only concerned with his maximum height,

and then it ends ... 480-ft is one serious cliff, and what happens after the

peak of his arc is too gruesome to contemplate.)

In any case, his vertical velocity is the first derivative, with respect to time,

of his height above the water.

        V = -32 t + 16

At the peak of his arc, where gravity takes over, his velocity changes from

upward to downward, and it's momentarily zero.

                                          0 = -32t + 16

Add  32t  to each side:    32t = 16

Divide each side by  32:      t = 1/2 second

His height at that instant is     H(0.5) = -16(0.5)² + 16(0.5) + 480 =

                                          4-ft above the cliff,  484-ft above the water,

and then he begins falling from that altitude.

The duration of his dive is      484 = 16 t²

                                                  t = √(484/16) = 5.5 seconds

and he hits the water at      V = a t = (32) x (5.5) = 176 ft/sec = exactly 120 mph

Step-by-step explanation:

How do you solve this question that proteins to 30-60-90 triangles

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Answer:

Step-by-step explanation:

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fortnite battle royal

Step-by-step explanation:

Answer:

2.2

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