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marysya [2.9K]
2 years ago
8

A model of a famous statue is 2 1/2 inches tall. The actual statue is 3 3/4 feet tall. What is the ratio of the height of the mo

del to the height of the actual statue in simplest
form?

Mathematics
1 answer:
madreJ [45]2 years ago
3 0

Answer: 2:3.

Step-by-step explanation:

\displaystyle\\\frac{The\  height\ of\  a\  model \ of \ a\  famous \ statue }{The\  height\ of\  the\ actual \ statue} =\frac{2\frac{1}{2} }{3\frac{3}{4} } \\\\\frac{\frac{5}{2} }{\frac{15}{4} } =\\\\\frac{5*4}{15*2} =\\\\\frac{2}{3}=2:3.

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Divide 120ml into the ratio 3:7
viva [34]

Answer:

Step-by-step explanation:

sum of ratio=3+7=10

total=120 ml

first part=3/10×120=36 ml

second part=7/10×120=84 ml

5 0
2 years ago
A number tripled and tripled again is 576. What is the number?
Oksana_A [137]

Answer:

192

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A school is holding a talent show. A group of six friends entered the talent show and won the first place prize of $45, which th
Ghella [55]

Answer:

<em>In the second group the individual members received a larger fraction of the prize money</em>

Step-by-step explanation:

<u>Division by Sharing</u>

A certain amount M can be evenly split among n parties by performing a division M/n.

The first group of six friends earned $45 and they split it evenly, i.e. the same amount goes to each member. Each of them received $45/6= $7.50 apiece.

The second group of four friends won the second-place prize of $35 and they split it evenly also. Each member received $35/4=$8.75.

By comparing both numbers, we see that 8.75 is a bigger fraction of 35 that 7.50 is of 45. Each member from the second-place price will receive more money than the first group.

We can conclude in the second group the individual members received a larger fraction of the prize money

4 0
3 years ago
X + y = 152,<br><br> 8.5x + 12y = 1,656<br><br> How many hats were sold?
Elodia [21]

Answer:

x = 48 and y = 104

Step-by-step explanation:

Given equations are:

x+y = 152\\8.5x+12y=1656

From equation 1:

x = 152-y

Putting the value of y in equation 2

8.5(152-y)+12y = 1656\\1292-8.5y+12y = 1656\\3.5y+1292 = 1656\\3.5y = 1656-1292\\3.5y = 364\\\frac{3.5y}{3.5} = \frac{364}{3.5}\\y = 104

Now we have to put the value of y in one of the equation to find the value of x

Putting y = 104 in the first equation

x+y = 152\\x+ 104 = 152\\x = 152-104\\x = 48

Hence,

The solution of the system of equations is x = 48 and y = 104

The value of variable which was assumed for number of hats, is the total number of hats.

6 0
3 years ago
Describe how you would classify the shape below on the hierarchy. Start at the top and describe how you know if the shape fits i
Bingel [31]
I would classify that shape as a pentagon because it has 5 sides/edges.

It is shaped like the houses in the old times.

Hope I helped :) :)
8 0
3 years ago
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