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Free_Kalibri [48]

4 years ago

10

A candle crafter packs 180 candles in 5 boxes. Each box holds the same number of candles. Which equation shows the relationship

between the number of boxes, b, and the number of candles, n?

1 answer:

Evgen [1.6K]4 years ago

8 0

I think the answer is 900

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A family has annual loan payments equal to 30% of their annual income. During the year, their loan payments total $15,680. What

soldier1979 [14.2K]

First, set up a ratio: $\frac{30}{100} = \frac{15,680}{x}$
The first fraction is the percentage (30% and $\frac{30}{100}$ are the same thing) and the second is the loan payment (which is equal to the 30 in the first fraction) over their annual income ( $x$ ).
First you divide $15,680 by 30, then multiply that quantity by 100. The value calculated then replaces $x$ in your second fraction: $\frac{30}{100} = \frac{15,680}{52,266.67}$

7 0

4 years ago

Cesar has 32 boxes of pasta and 48 jars of sauce that he will be putting into bags for a food drive. He wants each bag to have t

zhannawk [14.2K]

Cesar has 32 boxes of pasta and 48 jars of sauce that he will be putting into bags for a food drive. He wants each bag to have the same amount of pasta and sauce and wants to use all of the items. Use the drop-down menus to complete the statements below about the number of bags Cesar can make.

What is the greatest number of bags Cesar can make and Each bag would have _____ pasta and _____ jars of sauce

Answer:

The greatest number of bags Cesar can make is 16 bags.

Each bag would have 2 pasta and 3 of jars of sauce

Step-by-step explanation:

We solve the above question using Greatest Common Factor method

The factors of 32 are: 1, 2, 4, 8, 16, 32

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Then the greatest common factor is 16.

Hence, the greatest number of bags Cesar can make is 16 bags.

For Pasta, We have 32 pasta

Each bag would have: 32/16

= 2 pasta

For Jars of sauce, we have 48 jars of sauce.= 48/16

= 3 jars of sauce

4 0

3 years ago

Alex is making puppets for a show. He bought all the string needed for $125. It costs $18 for the remaining materials to make ea

Alexus [3.1K]

Alex bought all the string needed for $125.

It costs $18 for the remaining materials to make each puppet.

So if we closely observe then we see that here $125 is the fixed cost because its not going to change with number of puppets.

And the variable cost is $18.

In this case we can model a Total cost function C(x) for for x number of puppets as below

$C(x)=125+18x\\ \\ \text{Here x is the number of puppets}\\ \\ \text{Since in our case the number of puppets is 50 so replace x by 50 we get }\\ \\ C(50)=125+18*50\\ \\ C(50)=125+900\\ \\ C(50)=1025 \ dollar.$

The total cost to make 50 puppets=$1025

3 0

3 years ago

Read 2 more answers

How long is a raisin?

adoni [48]

Answer:

Depends

Step-by-step explanation:

This question is a very advanced question, but this depends on the grape that the raisin was previously.

8 0

2 years ago

A right triangle has a side of length 1 fourth and a hypotenuse of length 1 third. What is the length of the other side?

Marina86 [1]

Answer:

The other side = $\frac{1}{12}$ units

Step-by-step explanation:

A right triangle has a side of length $\frac{1}{4}$ units and;

the hypotenuse is $\frac{1}{3}$

According to Pythagorean theorem,

a² + b² = c² , where a and b are the two legs of a triangle and c is the hypotenuse.

Lets say a² = $(\frac{1}{4}) ^2$ and c² = ( $(\frac{1}{3} )^2$

b² = c² - a²

b² = $\frac{1}{9}$ - $\frac{1}{16}$ = $\frac{1}{144}$

So b = $\sqrt{1/144}$ = $\frac{1}{12}$ units.

So the other side = $\frac{1}{12}$ units.

5 0

3 years ago