A baker is using a cookie recipe that call for 5 ¼ cups of flour to yield 40 cookies. How much flour will the baker need to make 120 cookies using the same recipe?

9/20 is the same as 9 divided by 20, which is evaluated 9÷20. The value becomes 0.45.

Thus, 9/20 is equal to 0.45.

we are asked to find the percent change in weight gain of a person.

First, we need to find the change in weight gained over the 4 months

Change in weight= 186-176=10 lb

The percent change is expressed as change in weight over original weight *100. Then

The percent change in weight is 6% to the nearest whole number.

This problem asks us to compare the number of dimes to nickels.

If we let p be number of pennies in the bottle. Then,

Number of quarters in the bottle = 4p

Number of nickels in the bottle = 2p

Number of dimes in the bottle =7(2p)=14p

To find the number of dimes the child has than nickels, we use the ratio:

\(\frac{Dimes}{nickels} =\frac {14p}{2p}\ =\ 7\)

Thus, there are 7times as many dimes as nickels in the box.

notice that the question compares the cup of flour and the cup of milk. We can therefore set up our ratios as cup of floorcup of milk. If we let the x be the number of cups of milk needed, then

As a mixed fraction, 70/3 becomes 23 1/3, which represents the number of cups of milk needed to make a big batch of 5 cups.

A histogram will be appropriate to represent the time the students wake up every day of the week. The histogram is used to represent the frequency of the variable with another variable. In our case the vertical axis will represent the number of students (frequency) while the time of waking up on the horizontal axis.

The scientist found that as water temperature increases, the fish population decreases. This means that the two variables move in opposite directions—when one increases, the other decreases.

This type of relationship is called a negative correlation.

A dependent variable is one that changes when another variable changes. In this case, the cost of the phone will change depending on the change inbrand name, size of the RAM, and size of the battery. Thus, cost of a phone is a dependent variable.

To find the greatest number from the given set, we first convert the decimal numbers into fractions.

12.35 becomes 1235/100

11.46 becomes 1146/10

Then, the LCM for the denominators of the given fractions of 2, 100, 3 and 10 is 300. Now we multiply each fraction with 300, which we will use to compare the give set.

25/2*300=3750

1235/100*300=3705

40/3*300=4000

1146/10*300=3438

From the calculated values, 4000 is the greatest value. Then, 40/3is the greatest value.

We are asked to convert kg to pounds using the given relation. If we let x to represent the lb we are asked to find, we set the proportion equation with kg on numerator and lb on the denominator as follows.

The equivalent value of 55kg is 121 lb.

we need to find the circumference of the circle from the given area.

The first step is to find the radius of the circle using the given area. Let r be the radius of the circle, then:

Substituting the value of area in the above equation becomes

Dividing both sides by pi and taking square root on both sides yields

Now, we know the radius of circle to be  9 in, the circumference of the circle becomes,

  in.