How do u express a ratio as a decimal

Answers

Answer 1

Answer: Perform the indicated division ... divide the numerator by the denominator.
The quotient is the decimal form of the ratio.

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Olivia ordered 24 cupcakes and a layer cake. The layer cake cost $16, and the cost of the order was $52. What was the price of each cupcake?

Answers

Another way to think about this is... The total cost was $52. Subtracting out the cost of the layer cake ($16) leaves us with $36 to pay for the 24 cupcakes. This means that each cupcake must have cost $1.50 ( = $36 / 24 cupcakes ).

52=total
16= total price of layer cake

52
-16
------
36

36\24=1.50 each

A chemist has 20 gallons of solution with 12% saline. How much pure saline (100% saline) needs to be added to the 20 gallons to create a mixture with 15% saline content? Round your answer to the nearest tenth (if you answer this please let me know how you got the answer, thank you!)

Answers

Answer:

0.6 gallons of pure saline

Step-by-step explanation:

15-12=3

3=×0.03

20 gallons ×0.03=0.6 gallons

Calculate the average velocity or a race car when an object travels on track and passes the 300m mark at 10 seconds and the 1100m mark at 24.5 seconds. rounded to the nearest whole number.

Answers

Answer:

55 m/s

Step-by-step explanation:

average velocity $=(1100-300)/(24.5-10) =(800)/(14.5)=(1600)/(29) \approx 55 ~m/s$

1. Calculate. Use the method you prefer. Check your answer using the inverse operation. a. 2014 ÷ 17 b. 3716 22 d. 1 168 ÷ 16 c. 4 691 ÷ 13 g. 5 186 ÷ 21 e. 9 603 27 f. 7 834 ÷ 19 h. 6 437 14 mo C.

Answers

the solutions are for: a. 118 with a remainder of 10, b. 169 with a remainder of 10.

What about others and what is remainder?

a. 2014 ÷ 17 = 118 with a remainder of 10

Check: 118 x 17 + 10 = 2014

b. 3716 / 22 = 169 with a remainder of 10

Check: 169 x 22 + 10 = 3716

c. 4 691 ÷ 13 = 361 with a remainder of 8

Check: 361 x 13 + 8 = 4691

d. 1 168 ÷ 16 = 73

Check: 73 x 16 = 1168

e. 9 603 / 27 = 355 with a remainder of 18

Check: 355 x 27 + 18 = 9603

f. 7 834 ÷ 19 = 411 with a remainder of 5

Check: 411 x 19 + 5 = 7834

g. 5 186 ÷ 21 = 247 with a remainder of 19

Check: 247 x 21 + 19 = 5186

h. 6 437 / 14 = 459 with a remainder of 1

Check: 459 x 14 + 1 = 6437

Therefore, the answers are:

a. 118 with a remainder of 10

b. 169 with a remainder of 10

c. 361 with a remainder of 8

d. 73

e. 355 with a remainder of 18

f. 411 with a remainder of 5

g. 247 with a remainder of 19

h. 459 with a remainder of 1

In arithmetic, the remainder is the amount left over after performing a division operation when one number is divided by another.

For example, when you divide 17 into 2014, you get 118 with a remainder of 10. This means that 17 goes into 2014 exactly 118 times, with 10 left over. The remainder is always less than the divisor and indicates how much is left after dividing the dividend as equally as possible by the divisor.

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A coffee machine can be adjusted to deliver any fixed number of ounces of coffee. if the machine has a standard deviation in delivery equal to 0.4 ounce, what should be the mean setting so that an 8-ounce cup will overflow only 0.5% of the time?

Answers

The mean will be calculates as follows; from the formula of z-score we shall have:
z=(x-μ)/σ
the z-score associated with 0.5% is 0
thus
0=
(8-μ)/0.4=0
solving for x we get:
μ=9

Answer: μ=9

Final answer:

The question can be addressed using the principles of Normal Distribution. Given the z-chart, 8 ounces is the observed value for the 99.5th percentile, which equates to approximately 2.58 standard deviations. Therefore, the mean setting of the coffee machine should be set around 8 ounces for the cup to overflow only 0.5% of the time.

Explanation:

The situation described in the question is a typical case of application of Normal Distribution. As a reminder, in a Normal Distribution, 99.7% of the values lie within 3 standard deviations of the mean. The question states that the cup should overflow only 0.5% of the time. Therefore, we need to consider the 99.5% of the left side under the normal curve (as we're considering the upper limit), which corresponds to around 2.58 standard deviations under the normal curve.

Given that the standard deviation (σ) is 0.4 ounces, using the formula X = μ + Zσ (where Z is the Z-score corresponding to the desired percentile, μ is the mean we want to find, and X is the threshold value where the cup overflows at 8 ounces), we can substitute the known values and solve for μ.

Therefore, 8 = μ + 2.58 * 0.4 Solving for μ gives us around μ = 7.966, or about 8 ounces. Hence, the mean setting of the coffee machine should be set around 8 ounces to ensure that the cup will overflow only 0.5% of the time.

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Helga needs to lay out her newly created pivot table. What are the two ways she can set up a pivot table? A. Helga can check the field or type in the data in the pivot table. B. Helga can slide cells to the four boxes or double-click properties to choose from a list of pivot table options. C. When Helga created the pivot table, Excel automatically put the fields to the appropriate cells of the pivot table. There aren't two ways to set up a pivot table. D. Helga can drag the fields to the four boxes in the pivot table field list or right-click a field name and choose its location from the shortcut menu.

Answers

The right answer for the question that is being asked and shown above is that: " D. Helga can drag the fields to the four boxes in the pivot table field list or right-click a field name and choose its location from the shortcut menu." these are the two ways she can set up a pivot table.

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