For each ounce of the product, let
x = ounces of moisturizing lotion used,
y = ounces of self-tanning lotion used.

The sum of the two lotions per ounce is equal to one ounce. Therefore
x + y = 1 (1)

Moisturizing lotion costs $0.70 per ounce.
Self-tanning lotion costs $22 per ounce.

Because the product costs $1.30 per ounce. Therefore
0.70x + 22y = 1.30 (2)

From (1), obtain
y = 1 - x (3)

Substitute (3) into (2).
0.70x + 22(1 - x) = 1.30
0.70x - 22x + 22 = 1.30
-21.3x = -20.7
x = 0.9718 ounces
From (3), obtain
y = 1 - 0.9718 = 0.0282 ounces.

A batch of the product is 700 ounces. Therefore the amount of self-tanning lotion used is
700*y = 700*0.0282 = 19.74 ounces

Answer: 19.74 ounces

8 0

4 years ago

In a computer game, a bird flies at a height of 1,281 feet. At the same time, a fish swims 282 feet below sea level. What is the

nataly862011 [7]

The difference between them both is 1563ft.

7 0

3 years ago

Read 2 more answers

6. Find the variance and standard deviation for the given data using the formula. Round your answer to one more decimal place th

Thepotemich [5.8K]

Answer and Step-by-step explanation:

Variance is the measurement of the spread bewteen the numbers of the data set and can be calculated by the formula:

σ² = ∑(x - ⁻x)² / n

1) With the data, find its mean (⁻x) by adding all the values and dividing the sum by total number of elements the data has;

2) Subtract each value of the data to the mean;

3) Square the result of the subtractions;

4) Add the squares;

5) Divide the sum by the total number of elements of the set;

6) The result is the Variance (σ²);

Standard Deviation is the measure of how far the values of the data set are from the mean and it is the square root of Variance:

σ = $\sqrt{(variance)^{2}}$

So, to calculate standard deviation, you just take the square root of the variance.

6 0

4 years ago