Answer:
1. 
2. 
Step-by-step explanation:
Given
Variation: inverse Proportion
y = 7, x = 9
Required
- Write an equation connecting y and x
- Find y when x = 21
Given that thee variation is inversely proportional;
This implies that

Convert variation to equation
----------- Equation 1
Where k is the constant of variation
Substitute 7 for y and 9 for x in equation 1

Multiply both sides by 9


Substitute 63 for k in equation 1

Multiply both sides by x


Hence, the equation connecting x and y is 
Solving for when x = 21
Substitute 21 for x in the above equation

Divide both sides by 21


Hi!
<u><em>NOTE: When solving absolute value inequalities, > or ≥ means OR, and < and ≤ means AND.</em></u>
<u><em /></u>
|2x - 3| > 7
Since the absolute value is isolated, we can now solve.
First, remove absolute value signs, then solve for x.
2x - 3 > 7
2x > 10
x > 5
Now, we have to solve again, but this time we flip the inequality sign and switch positive 7 to a negative 7, like so:
2x - 3 < -7
2x < -4
x < -2
Now, as stated above, since it's a greater than symbol it means OR.
<u><em>x > 5 OR x < -2</em></u>
<u><em></em></u>
<u><em>For more information on solving absolute value inequalities:</em></u>
brainly.com/question/14473339
<em />
<em />
Step-by-step explanation:
option number B.......
Answer:
Omar Traveled 5 miles
Step-by-step explanation:
First set up a two step equation, .50x (x is our variable for miles driven) then +1.75= 4.25. Then Subtract 1.75 from itself and from 4.25. You get 2.5, bring everything down. You are now left with .50x=2.5 divide each side by .50 . 2.5 divided by .50 equals 5 and .50 divided by itself is zero, bring down the x and the 2.5. It should now look like this x = 2.5 That is your answer.
Answer:
The fraction jumped into boiling water because it wanted to be reduced.
Step-by-step explanation:
This is a maths riddle about fractions. We often see fractions that we might feel could be reduced. So, if these kinds of fractions jumps into a boiling water, they get reduced. The riddle is rather funny though.