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3 years ago

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Mathematics

1 answer:

Aleksandr [31]3 years ago

6 0

Answer:

6 5/8

Step-by-step explanation:

You need to add 2 3/4 and 3 7/8

2 3/4 as an improper fraction is 11/4 and 3 7/8 as an improper fraction 31/8

To add them you need to have common denominators

So you multiply 11/4 by 2/2 which is 22/8

Now you can add them

22/8+31/8 = 53/8

53/8 = 6 5/8

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After a 2 1/2 hour rainstorm, there are 5 inches of water in a bucket outside. What is the rate per inch?

xeze [42]

Answer:

2 inches per hour

Step-by-step explanation:

2 1/2 hours is equivalent to 150 minutes.

Set up a proportion; let x equal inches of rain

$\frac{5}{150}$ = $\frac{x}{60}$

Cross multiply -> 150x=300

Divide both sides by 150 to get -> x=2

5 0

3 years ago

Clare has a recipe for yellow cake. She uses 913 cups of flour to make 4 cakes. Noah will follow the same recipe. He will make c

sergejj [24]

Answer:

(C)c= $\frac{3}{7}$ f

Step-by-step explanation:

Clare uses $9\frac{1}{3}$ cups of flour to make 4 cakes.

It means she uses 1 cup of flour to make $4\div9\frac{1}{3}$ cakes.

Let us simplify that expression first for future use.

$4\div9\frac{1}{3}=4\div\frac{28}{3} =4 X \frac{3}{28} =\frac{3}{7}$

Therefore, Clare uses 1 cup of flour to make $\frac{3}{7}$ cakes.

If Noah follows the same recipe,

He uses f cups of flour to make c cakes

Using Ratio Method

→ Name : Cup : Cake

→ Clare : 1 : $\frac{3}{7}$

→ Noah : f : c

By using cross multiplication

c X 1 = $\frac{3}{7}$ f

c= $\frac{3}{7}$ f

The equation c= $\frac{3}{7}$ f represents the relationship between c and f

8 0

4 years ago

2 questions in one.<br> Help?..

daser333 [38]

Answer:

2. 3

3. 4^45

Step-by-step explanation:

${ ({5}^{4} ) }^{m} = {5}^{12} \\ = > {5}^{4m} = {5}^{12} \\ = > 4m = 12 \\ = > m = \frac{12}{4} \\ = > m = 3 \\ \\ number \: of \: books \: at \: library \\ = {({4}^{9})}^{5} \times {4}^{0} \\ = {4}^{45} \times 1 \\ = {4}^{45}$

4 0

3 years ago

Read 2 more answers

Jody has 4 red marbles, 6 blue marbles, and 9 yellow marbles. What is the ratio of red marbles to blue marbles?

Natalija [7]

Answer:

2:3

Step-by-step explanation:

First, create the ratio by putting the numbers together:

There are 4 red and 6 blue marbles:

4:6

Since both of these are divisible by 2, it can be simplified:

4:6

2:3

So, the ratio of red marbles to blue marbles is 2:3

8 0

3 years ago

Read 2 more answers

-5y-3+6y=15 How do I solve it?

juin [17]

Combine like terms. 6y-5y is 1y, which simplifies to y. the equation is y-3=15. y=18 is the answer because you add 3 to 15

5 0

3 years ago