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?

we set the conversion equation to find the unknown unit. Arrange the equation such that the unwanted units cancel out and the wanted unit remains.

The value 365.76 cm is close to 365 cm. Therefore, 4 yards is approximately 365 cm.

we need to find the price of the stock on Thursday.

First, find the price changes in each day of the week as follows:

Monday’s price was $45.32

Tuesday’s price went up by $3.25 from Monday’s price. The price was $(45.32+3.25)=$48.57

Wednesday’s price decreased by $1.73 from Tuesday’s price, and so the price of the stock was $(48.57-1.73)=$46.84

Thursday’s price increased by $0.89 from Wednesday’s price, which was $(46.84+0.89)=$47.73

Therefore, the stock price on Thursday was $47.73.

we are to use the pie chart to find the number of students enrolled in dental hygiene care.

Letting x represent the number of students enrolled in dental hygiene care, we set the proportion equation with number of students as numerator and percentage as denominator. It should be noted that the whole pie chart represents 100% of the 800 students. Then,

We solve the value of x by cross-products.

Therefore, 144 students will enroll for a dental hygiene program.

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.

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.

We are asked to make z the subject of the formula.

First, we subtract y/x from both sides of the equation

Thus, the formula for finding the value of z is  .

we are asked to find the number of gallons a full tank holds. A full tank is treated as 1 whole.

Letting x be the number of gallons in full tank and setting the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.

Convert the mixed fraction into proper fraction and cross-multiply to find the value of x.

x 1 full tank=185 gallons23full tank

A full tank holds 27/5 gallons, which when converted to a mixed fraction is 5 2/5.

By inspection, we find the corresponding values of the given denominations in the following manner.

in this case, we express James’ uncle’s age in terms of James’ age. From the equation:

James’ age is n

James’s uncle’s age is m=3n-13

Thus, the relation that relates James’ uncle’s age in terms of James’ age is m=3n-13.

Amount of salary will vary if the other three variables change. Therefore, salary is a dependent variable.