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2 years ago

A group of preschoolers has 8 boys and 24 girls. What is the ratio of girls to all children? Show your work.

Mathematics

1 answer:

Alekssandra [29.7K]2 years ago

4 0

24:32
Because there are 24 girls out of 32 kids total including the 8 boys

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100p for an answer please on a test

motikmotik

I wanna day, that both are correct because they substituted the same value into both expressions and the results are the same.
Both squares substitute in 6 and both equal -5.

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2 years ago

A farmer has a 100 ft by 200 ft rectangular field that he wants to increase by 15.5% by cultivating a strip of uniform width aro

Advocard [28]

Answer:

(a) The strip should be 5ft wide

(b) The strip around the outside field is 10ft wide.

Step-by-step explanation:

Given:

Length of the rectangular field, L= 200 ft

width of the rectangular field, w = 100 ft

Area of the rectangular field, A = 200ft x 100ft = 20000 ft^2

let the width of the strip = x

The strip around the outside field = 2x

If the field is increased by 15.5%

New area of the field = 1.155 x 20000 = 23,100 ft^2

The increase in area of the field = 3,100 ft

3,100 = New area of field - old area of the field

3100 = (200 + 2x)(100 + 2x) - 20000

3100 = 20000 + 400x 200x + 4x^2 - 20000

3100 = 600x + 4x^2

Divide through by 4

775 = 150x + x^2

x^2 + 150x - 775 = 0

Factorize

(x + 155)(x-5) = 0

x = 5 ft

The strip should be 5ft wide.

The strip around the outside field = 2 x 5 ft = 10 ft

Thus, the strip around the outside field is 10ft wide.

3 0

3 years ago

In the game of roulette, a player can place a $8 bet on the number 17 and have a StartFraction 1 Over 38 EndFraction probabili

svp [43]

Answer:

Expected value of the game: -$0.421

Expected loss in 1000 games: $421

Step-by-step explanation:

There are two possible outcomes for the event:

- There is a 1 in 38 chance of winning $280

- There is a 37 in 38 chance of losing $8

The expected value for a single game is:

$E(X) = \frac{1}{38}*\$280-\frac{37}{38}*\$8\\E(X)=-\$0.421$

The expected value of the game is -$0.421

In 1,000 plays, the expected loss is:

$L = 1,000*-\$0.421\\L=-\$421$

You would expect to lose $421.

3 0

2 years ago

There were 90 runners just start a race in the first half of the race 1/3 of them dropped out in the second half of the race 1/5

Eva8 [605]

Answer:

6 runners finished the race

Step-by-step explanation:

it starts with 90 runners. then 1/3 of them dropped out in the second half of the race, that means you do 90 divided by 3

90 ÷ 3 = 30

Then, 1/5 of the runners remained.

That means you do 30 divided by 5

30÷ 5= 6

so the answer is 6 remaining runners finished the race.

8 0

2 years ago

What multiples to -63 and adds to two

ivolga24 [154]

That job can be handled by +9 and -7 working together.

4 0

3 years ago