Rachel paints 5 1 2 512 square meters of wall space in 1 3 13 hour. what area of wall space can she paint in 1 hour? one 200-gram bag of rice costs $8.12. how much does 1 kilogram of rice cost? (note that 1000 g = 1 kg.) john ran 1 2 12 mile in 5 minutes, and al ran 1 3 13 mile in 4 minutes. which runner ran at a faster rate? at a certain store, a half-gallon jug of milk costs $2.95, and a gallon jug of milk costs $5.95. which milk has a cheaper price: the half-gallon or gallon jug? a package of nine 12-ounce cans of cola costs $7.50. a half-gallon bottle of the same cola is sold for $2.90. which cola has a cheaper price, the cans or the bottle?

QUESTION 1

It was given that Rachel can paint 512 square meters of wall in 13 hours.

We can write the ratio,

.

We want to find what area of wall space she can paint in 1 hour.

Let the area of wall space she can paint in 1 hour be square meters.

We  can again write the ratio,

.

We know this is going to be less, so if less more divides.

This gives,

to the nearest hundredth.

QUESTION 2

It was given that;

.

We want to find how much one kilogram of rice costs and we also know that,

.

so we let be the cost of 1 kg.

Then,

.

We know this is going to be more,so if more less divides,

Therefore 1k cost $ 40.60

QUESTION 3

We were given that, John ran 12 miles in 5 minutes.

We can write this ratio as

or

Al ran 13 miles in  4 minutes.

We can write this one too as,

or

The least common denominator for the two fractions is 20.

In equivalent fractions, John 's rate is

and

Al's rate is

We can see that, in 20 minutes, John covers 48 miles while Al covers 65 miles.

Hence, Al ran at a faster rate.

QUESTION 4

We were given that, a half-gallon jug of milk costs $ 2.95 at a certain store.

We can write this as a ratio to get,

.

When we multiply each term of the ratio by 2, we get,

.

This means that 1 jug of milk costs $ 5.90 at this same store.

We were given that at another store, a gallon jug of milk costs $ 5.95.

Therefore the half gallon jug of milk for $ 2.95  is cheaper.

QUESTION 5

We were given that at a certain store, a package of nine 12-ounce cans of cola costs $7.50

Nine 12 ounce cans corresponds 108 ounces in total.

If 108 ounces corresponds to $ 7.50, then,

64 ounces corresponds to .

This means that a half-gallon cola in this store costs approximately $ 4.44.

If a half- gallon bottle of the same cola is sold for 2.90 dollars at a different store, this one is cheaper.

Hence the bottle is cheaper.

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)  

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.