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3 years ago

12

To make lemonade , Kate uses 1 cup of lemon juice and 2 cups of sugar. If she makes a larger amount of lemonade with 10 cups of

sugar, how many cups of lemon juice does she need?

1 answer:

Black_prince [1.1K]3 years ago

5 0

Answer:

5 cups

Step-by-step explanation:

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(PLEASE HELP!!!)Where does the following graph have clusters of data? Select all that apply.

grigory [225]

Answer:

1-5

Step-by-step explanation:

It has clusters from 1 to 5 because that is where all the dots are that are not seperated.

8 0

3 years ago

What is the simplified value of the exponential expression 16 Superscript one-fourth?

pochemuha

<u>Answer: </u>

The value of the exponential expression $16^{\frac{1}{4}}$ is 2

<u>Solution:</u>

16 superscript one-fourth= $16^{\frac{1}{4}}$

As per the problem,

We have to find the value of $16^{\frac{1}{4}}$

16 in terms of 2 can be written as $2\times2\times2\times2$

= $(2 \times 2 \times 2 \times 2)^{\frac{1}{4}}$

= $\left(2^{4}\right)^{\frac{1}{4}}$

As per the exponential rule, $a^{(m)^{n}}=a^{m \times n}$

= $2^{4 \times \frac{1}{4}}$

Here, $4\times\frac{1}{4}=1$

= $2^{1}$

= 2

Hence, the value is 2.

9 0

3 years ago

Read 2 more answers

4. The students in Mr. Michael’s art class are decorating a booth for Harvest Day. They have blue cloth that is 60 inches long,

MrRissso [65]

Length of blue cloth is 60 inches , length of gold cloth is 48 inches and length of white cloth is 72 inches.

<u>a.</u>

As, the length of all pieces are equal, so for getting the greatest possible length of the pieces, we need to find <u>GCF(greatest common factor) of 60, 48 and 72. </u>

First we will factor out all three numbers completely......

$60=2*2*3*5\\ \\ 48=2*2*2*2*3\\ \\ 72=2*2*2*3*3$

The common factors are: 2, 2 and 3

Thus the GCF $= 2*2*3=12$

So, the greatest possible length of the pieces without having any cloth left over will be 12 inches.

<u>b. </u>

For finding the number of pieces for each color cloth, we will just <u>divide the length of each cloth by 12</u>. So...

Number of pieces for blue cloth $=\frac{60}{12}=5$

Number of pieces for gold cloth $=\frac{48}{12}=4$ and

Number of pieces for white cloth $=\frac{72}{12}=6$

4 0

3 years ago

An animal shelter has a total of 350 animals comprised of cats, dogs, and rabbits. If the number of rabbits is 5 less than one-h

Andrew [12]

This is the concept of algebra, suppose that the number of cats is x;
number of cats will be x-20
number of rabbits will be 3/2x
thus the total number of animals will be:
x+(x-20)+3/2x=350
7/2x=350+20
7/2x=370
x=370*2/7
x=105.7=106
therefore we conclude that there we 106 cats in the shelter

7 0

3 years ago

Need help with this

snow_tiger [21]

Answer:

x y

15 -1

12 0

9 1

6 2

3 3

0 4

Step-by-step explanation:

This is a function table. For a linear function, find the average rate of change between the listed points called slope. Then use the slope to fill in other inputs and outputs for the function.

$m = \frac{y_2-y_1}{x_2-x_1}=\frac{4-0}{0-12} =\frac{4}{-12} =- \frac{1}{3}$

This means for every 3 units made in the input, the function moves down 1 output.

x y

15 -1

12 0

9 1

6 2

3 3

0 4

6 0

3 years ago