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Lady bird [3.3K]
3 years ago
14

Richard has a huge barn, 20 chickens, 4 ducks, 8 pigs, 6 horses, 4 cows, 8 ducks, and 4 goats. Which of the following equivalent

ratios represent the ratios of cows to horses?
Mathematics
1 answer:
Triss [41]3 years ago
3 0

2:3

ratio of cows to horses:

4:6 = 2:3

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Emily's piggy bank contains twice as many dimes as nickels. It contains two more quarters than nickels. Emily calculates that if
ANTONII [103]

Answer:

Emily has 10 nickels, 20 dimes and 12 quarters in her piggy bank

Step-by-step explanation:

The number of dimes in Emily's piggy bank = 2 × The number of nickels

The number of quarters in it = 2 + The number of nickels

Whereby;

The number of quarters = The number nickels

The number of dimes = The number of quarters

The number of nickels = The number of dimes

The total amount = Current amount - $150

Let 'x' represent the number of dimes, let 'y' represent the number nickels, and let 'z' represent the number quarters in Emily's piggy bank, we have;

x = 2 × y

z = 2 + y

The total amount in the piggy bank is therefore;

Total = C = x×0.1  + y×0.05 + z×0.25 = 2·y×0.1 + y × 0.05 + (2 + y) × 0.25 = 0.5·y + 0.5

C = 0.5·y + 0.5

With the second condition, we have;

z = y

x = z

y = x

We get

x × 0.1 + y × 0.05 + z × 0.25 = y ×0.1 + y×0.05 + y×0.25 = 0.4·y = C - 1.5

∴ C = 0.4·y + 1.5

Which gives;

0.5·y + 0.5 = 0.4·y + 1.5

0.1·y = 1.5 - 0.5 = 1

y = 1/0.1 = 10

y = 10

Therefore;

x = 2×y = 2 × 10 = 20

z = 2 + y = 2 + 10 = 12

Therefore;

The number number of nickels in her piggy bank, y = 10

The number of dimes in her piggy bank, x = 20

The number of quarters in her piggy bank, z = 12

3 0
3 years ago
Read 2 more answers
the density of pure gold 1,204 pounds per cubic foot? how many cubic feet is 481.6lbs of pure gold?
Nadusha1986 [10]

Answer:

Volume of Gold = 0.4 cubic feet.

Step-by-step explanation:

First we have to make sure the units are same as the units the answer is required in.

Answer should be given in cubic feet.

Density is given in pounds per cubic foot. And Mass is given in pounds. So units are in order. Therefore, we can go ahead with the calculation.

The Density of Gold = [Mass of Gold/Volume of Gold]

By substituting values,

1204 ponds per cubic foot = [481.6 pounds / Volume of gold]

Making Volume of God the subject of the equation,

Volume of Gold = [481.6 pounds / tex]1204[/tex] ponds per cubic foot ]

Volume of Gold = 0.4 cubic feet.

5 0
3 years ago
Chantel drew a picture of her dog on a piece of paper that is 12 centimeters long. She used a copy machine to enlarge her drawin
Georgia [21]

Answer:

a(n)=1.15[a(n-1)]

Step-by-step explanation:

we know that

115\%=115/100=1.15

Let

a0 -----> the length of the original copy

<em>The first copy is equal to</em>

a1=1.15(a0)

<em>The second copy is </em>

a2=1.15[1.15(a0)] or a2=1.15[a1]

<em>The third copy is</em>

a3=1.15{1.15[1.15(a0)]} or a3=1.15[a2]

therefore

A recursive formula will be

a(n)=1.15[a(n-1)]

3 0
3 years ago
PLEASE HELP I AM BEING TIMED!!
Amiraneli [1.4K]

Answer:

X=1.2

Step-by-step explanation:

i just did that

3 0
3 years ago
Read 2 more answers
Please help me with this
Ronch [10]
Think of it as two rectangular prisms next to each other, and find the volume of each one separately.

The big one on the left has a volume of 4 * 12 * 6, or 288.

The smaller one on the right has a volume of 2 * 6 * 6, or 72.

288 + 72 = 360. 360 cubic feet of water are needed.
8 0
3 years ago
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