Solution:
<u>Note that:</u>
<u>Using cross multiplication:</u>
- (3x)/20 = (4x + 2)/28
- => (3x) × 28 = (4x + 2) × 20
<u>Simplifying both sides:</u>
<u>Subtracting 80x both sides:</u>
- 84x = 80x + 40
- => 84x - 80x = 80x + 40 - 80x
<u>Simplify the LHS:</u>
- => 84x - 80x = 40
- => 4x = 40
- => x = 10
Answer:
Option C. 
Step-by-step explanation:
we have
Solve for x
That means ---> isolate the variable x
Multiply by 8 both sides to remove the fractions
Multiply by -1 both sides
Remember that
When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol
Divide by 5 both sides
The number of minutes that would make the water level be less than or equal to 64 cups is;
160 minutes.
We are given the equation;
W = -0.414t + 129.549
where;
t is the number of minutes
W is the level of water
The expression to find the amount of time it will take for the water level be less than or equal to 64 cups is;
-0.414t + 129.549 ≤ 64
Using substitution property of equality, subtract 129.549 from both sides to get;
-0.414t + 129.549 - 129.549 ≤ 64 - 129.549
-0.414t ≤ -65.549
Using division property of equality, divide both sides by -0.414 to get;
t ≤ -65.549/-0.414
t ≥ 158.33
(sign changed to ≥ because we divided the inequality by a negative number.)
We have to approximate the inequality to get;
t = 160 minutes.
Read more about Inequalities at; brainly.com/question/1310267
Answer:
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