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Stolb23 [73]
3 years ago
5

What is -4 1/2 as a decimal?

Mathematics
1 answer:
NARA [144]3 years ago
5 0

Answer: -4.5

Step-by-step explanation:

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The variable Z is directly proportional to X. When X is 3, Z has the value 54. What is the value of Z when X = 12
Ymorist [56]
Given that z is directly proportional to x, then:
zαx
hence;
z=kx
therefore:
k=z/x
when x=3,z=54
thus;
k=54/3
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hence;
z=18x
therefore the value of z when x=12 will be:
z=18*12
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3 years ago
Miguel needs 4 gallons of milk to make 12 milkshakes. How much milk does he need to
horrorfan [7]

Answer:

see the procedure

Step-by-step explanation:

Part 1) using proportion

we know that

Miguel needs 4 gallons of milk to make 12 milkshakes

so

Using proportion

Find out how much milk he needs to make 30 milkshakes

Let

x ----> gallons of milk needed

\frac{4}{12}\frac{gal}{milkshakes}=\frac{x}{30}\frac{gal}{milkshakes}\\\\x=30(4)/12\\\\x=10\ gal

Miguel needs 10 gallons of milk to make 30 milkshakes

Part 2) we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

This problem represent a proportional relationship

Let

x ----> the number of gallons of milk

y ----> the number of milkshakes

we know that

Miguel needs 4 gallons of milk to make 12 milkshakes

so

For x=4, y=12

Find out the constant of proportionality k

k=y/x

substitute the values

k=12/4=3\ milkshakes/gallon

The linear equation is equal to

y=3x

For y=30

substitute in the equation and solve for x

30=3x

Divide by 3 both sides

x=10\ gal

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3 years ago
Read 2 more answers
Factor the expression completely.<br><br> 25c-5
n200080 [17]
The factorised expression is 5(5c-1)
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