Celia and Ryan are starting a nutrition program. Celia currently consumes 1200 calories a day and will increase that number by 100 calories each day. Ryan currently consumes 3230 calories a day and will decrease that number by 190 each day. They will continue consuming that same number of calories per day. In how many days will that be?

Answer:

B

Step-by-step explanation:

Unit rate means one quantity in terms of another unit quantity. In the answer choices, we see that the denominator is always in terms of UNIT LITERS (1 L), so that means, we have to find gallons in terms of UNIT LITERS.

It means, we have to divide gallons by liters to get in terms of unitary liters.

Let's check the first line:

19.5/75 = 0.26 Gallons / 1 Liter

Now, checking 2nd:

39/150 = 0.26 Gallons / 1 Liter

So, yes, they are the same and other 2 lines would be the same as well. The unit rate is:

0.26 gal/1L

That's answer choice B

Answer:

Yes, the ratio of the number of students on the team to the number of students trying out is same for both girls and boys.

               The ratio is: 2:5

Step-by-step explanation:

It is given that:

• Out of 30 girls who tried out for the lacrosse team Euclid middle school 12 were selected.

This means that the ratio of the number of girls on the team to the number of girls trying out is:

   12/30=2/5

• Also, 40 boys Who tried out 16 were selected .

This means that the ratio of the number of boys on the team to the number of boys trying out is:

     16/40=2/5          

Hence, we get that the ratio is same for boys and girls i.e. 2:5

Answer:

5/6

Step-by-step explanation:

1/6 + 2/3

We need to get a common denominator of 6

1/6 + 2/3 *2/2

1/6 + 4/6

5/6

Answer:

y = x - 5

Step-by-step explanation:

In point slope form (y=a(x-h)+k):

y = 1(x - 5) + 0

simplifies to:

y = x - 5