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3 years ago

In the pantry, the ratio of apples to bananas is 4:7. There are 28 bananas. How many apples are there?

Mathematics

1 answer:

Liono4ka [1.6K]3 years ago

7 0

Answer:

4:7=apples:bananas

4x=apples 7x=bananas=28

7x=28

x=28:7

x=4

Apples are 4x

x=4

4x=4*4=16 apples

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When I use 14 cat lovers to pet 350 cats, it takes 15 days. How long would it take to pet 480 cats if I use 18 cat lovers?

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I think it would take 16 days

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2 years ago

Nick walked 3/4 of a mile in 12 minutes.How long would it take him to walk three miles at this pace

Gekata [30.6K]

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48 minutes

Step-by-step explanation:

First do 3 divided by 3/4 and that gives you 4. Then multiply 4 by 12 and you get 48.

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2 years ago

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ASAP PLEASE HELP!!!!

zzz [600]

Answer:

It will take Josie 80 minutes to run 10 miles.

Step-by-step explanation:

We can set up a proportion between the number of minutes she runs to the number of miles she runs. From what we know in the equation, we know that it takes her 24 minutes to run 3 miles, and it takes x minutes to run 10 miles. We can represent this in a proportion!

We know that the ratio of 24:3 will be the same for any number of miles, so we can say

$\frac{24}{3} =\frac{x}{10\\}$

We can solve this by first simplifying the left hand side then isolation x by multiple both sides of the equation by 10.

24/3 = 8

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It will take Josie 80 minutes to run 10 miles.

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2 years ago

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13. Maria earns $8 per hour plus a 5% commission on the price

Pani-rosa [81]

Answer:

Inequality:

120 + 0.05x ≥ 200

Solution:

x ≥ $1,600

Her total weekly sales must be equal to or greater than $1,600

Step-by-step explanation:

Let x represent the weekly sales she must make to reach her goal.

Given;

Pay rate = $8

Weekly total work hours = 15 hours

Commission on sales = 5% = 0.05

Total weekly earnings is;

8×15 + 0.05×x

120 + 0.05x

Minimum Weekly target earnings = $200

So;

120 + 0.05x ≥ 200

Solving the inequality equation;

0.05x ≥ 200 - 120

0.05x ≥ 80

x ≥ 80/0.05

x ≥ 1600

x ≥ $1,600

Her total weekly sales must be equal to or greater than $1,600

6 0

3 years ago

Find the probability of drawing 3 Aces at random from a deck of 52 ordinary playing cards if the cards are:_________

Minchanka [31]

Answer:

A) 1/2197

B) 1/5525

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome.

Since there are 52 random cards in a deck of card, the total outcome will be 52.

a) Also in a deck of card, there are 4 aces. If we are to select 3 aces with replacement, this means that each time we pick up an ace from the card, it was returned.

Pr(drawing an ace) = 4/52

Pr(drawing 3 aces and replacing it) = 4/52 *4/52*4/52

Pr(drawing 3 aces and replacing it) = 64/140,608

Pr(drawing 3 aces and replacing it) = 1/2197

b) If we pick 3 aces without replacement then each time we pick an ace, the total number cards keeps reducing.

Pr(picking the first ace) = 4/52

Pr(picking the second ace without replacing) = 3/51 (Since we didn't replace the first one, the total ace in the deck of card will reduce to 3 and the total will be 51)

Pr(picking the third ace without replacing) = 2/50 (since we didn't replace the first two aces, the total ace in the deck of card will reduce to 2 and the total will be 50)

Pr(drawing 3 aces without replacement) = 4/52*3/51*2/50

Pr(drawing 3 aces without replacement) = 24/132,600

Pr(drawing 3 aces without replacement) = 1/5525

5 0

3 years ago