Answer:
He used 77 ounces of blue paint
Step-by-step explanation:
In this question, we are to calculate the ounces of blue paint used based on the ratio in the question.
Firstly we add all the ratios together
This gives; 10 + 22 + 4 + 18 = 54
The ratio that represents that of the blue paint is 22;
Thus the number of ounces of blue paints used is; 22/54 * 189 = 77 ounces
2|7 − 7x| = 2x + 4
|7 - 7x| = x + 2
7 - 7x = x + 2 or 7 - 7x = -(x + 2)
-8x = -5 or 7 - 7x = -x - 2
x = 5/8 or -6x = -9
x = 5/8 or x = 9/6
x = 5/8 or x = 3/2
To check for extraneous solutions, we check both solutions in the original equation.
<em>Check solution 5/8:</em>
2|7 - 7x| = 2x + 4
|7 - 7x| = x + 2
|7 - 7 * 5/8| = 5/8 + 2
|56/8 - 35/8| = 5/8 + 16/8
21/8 = 21/8
<u>Solution x = 5/8 works.</u>
<em>Check solution 3/2:</em>
2|7 - 7x| = 2x + 4
|7 - 7x| = x + 2
|7 - 7 * 3/2| = 3/2 + 2
|14/2 - 21/2| = 3/2 + 4/2
|-7/2| = 7/2
7/2 = 7/2
<u>Solution 3/2 also works.</u>
Answer: x = 5/8 or x = 3/2
Answer:
Each bike with both types of tire.
Half of the tires of each type will be in the front wheel and the other half in the rear wheel.
Step-by-step explanation:
To compare the wear of each type of tire in a matched-pair test, the individuals have to test each of the tires in the same conditions.
This will allow to compare the tires wear in equal conditions. If the tires are assigned randomly to the volunteers, there will be difference in the wear due to difference habits of the bikers.
The only way to implement a matched-pair test with bikes is to use one type of tire in the front wheel and the other type in the rear wheel. Half of the tires of each type will be in the front and half in the rear.
In this way, the distance traveled with each type of tire will be the same.
Answer:
The volume of the cylinder is 
cubic feet.
Step-by-step explanation:
From Geometry we remember that volumes of a cone and a cylinder with the same radius (
), measured in feet, and height (
), measured in feet, are defined by the following equations:
Cone
(1)
Cylinder
(2)
The ratio of the volume of the cylinder to the volume of the cone is:
(3)
If we know that 
, then the volume of the cylinder is:
The volume of the cylinder is cubic feet.
Answer:
There is no fixed domain, meaning it is ongoing
The range is from -1 ≤ x ≤ 3
It is a function
Step-by-step explanation:
Domain refers to the x values. If there was a domain then there would be a dot or a point signalling that there is a fixed domain, however, there are arrows meaning that it will keep going.
The range refers to the y-values. The lowest y-value is -1 and the highest is 3.
It is a function because, when you do the vertical line test, each x-value has its own y-value.
