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3 years ago

15

Store A sells 12 juice bottles for $4 and store B sells 18 juice bottle for $6. Are the rates equivalent? explain your reasoning

.

1 answer:

mamaluj [8]3 years ago

7 0

Answer:

Yes!

The rate can be expressed by the ratio 3:1

For every 3 bottles, its $1

For every 6 bottles, its $2

For every 12 bottles its $4

and for every 18 bottles its $6

The juice's are equivalent because the ratio of number to bottles to dollars is equal.

Step-by-step explanation:

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aleksklad [387]

Answer:3

Step-by-step explanation:

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3 years ago

Jenna's dog eats 0.4 kilograms of dog food each day. How much dog food will Jenna's dog eat in 51 days?

neonofarm [45]

Answer:

20.4 kilograms

Step-by-step explanation:

.4 times 51

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2 years ago

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The sum of the digits of a 2-digit number is 10. If 18 is added to the number, the digits of the new number are those of the ori

Aliun [14]

Answer:

46

Step-by-step explanation:

Let $(ab)$ represent a number with $a$ in the ten's position and $b$ is the one's position.

This means $(ab)$ actually has value of $10a+b$ .

We are given the sum of those digits of $(ab)$ is 10; this means $a+b=10$ .

It says if 18 is added to the number $(ab)$ , then the result is $(ba)$ .

So $(ab)$ has value $10a+b$ and

$(ba)$ has value $10b+a$ .

We are given then:

$(ab)+18=(ba)$

$10a+b+18=10b+a$

Subtract $10a$ on both sides:

$b+18=10b+a-10a$

Simplify:

$b+18=10b-9a$

Subtract $b$ on both sides:

$18=10b-b-9a$

$18=9b-9a$

Divide both sides by 9:

$2=b-a$

Rearrange by commutative property:

$2=-a+b$

So the system of equations we want to solve is:

$a+b=10$

$-a+b=2$

-------------------------Add equations together (this will eliminate the variable $a$ and allow you to go ahead and solve for $b$ :

$0+2b=12$

$2b=12$

Divide both sides by 2:

$b=\frac{12}{2}$

Simplify:

$b=6$

If $b=6$ and $a+b=10$ , then $a=4$ . $a=4$ since 4+6=10.

So the original number is (46).

18 more than 46 is 18+46=(64) which is what we wanted.

We also have the sum of 4 and 6 is 10 as well.

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3 years ago

Find the slope of a line that goes between points (2, 4) and (5, 7).

yawa3891 [41]

Answer:

Step-by-step explanation:

$\frac{7-4}{5-2}=\frac{3}{3}= 1$

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2 years ago

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Does the value of x make the equation to 0. Why?

natka813 [3]

Answer:

Since there is no value of x that will ever make this a true statement, the solution to the equation above is “no solution”. Be careful that you do not confuse the solution x = 0 with “no solution”. The solution x = 0 means that the value 0 satisfies the equation, so there is a solution.

Step-by-step explanation:

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2 years ago