Answer:
c = 12
Step-by-step explanation:
3(c - 4) = 4(c - 6)
Use the distributive property on each side.
3c - 12 = 4c - 24
Now you need the terms with c on the left side and the numbers on the right side. Subtract 4c from both sides. Add 12 to both sides.
3c - 4c - 12 + 12 = 4c - 4c - 24 + 12
Combine like terms on each side.
-c = -12
Multiply both sides by -1.
c = 12
Answer:
$42
Step-by-step explanation:
This is an example of a percentage decrease.
To work out the percentage decrease you would first need to convert the percentage of 25% into a decimal. You can do this by dividing the percentage of 25 by 100, this gives you 0.25. This is because percentages are out of 100.
The next step is to minus 0.25 from 1, this gives you 0.75. This is because we are working out the percentage decrease.
To work out the discounted price you would multiply the amount of $56 by 0.75, this gives you $42.
1) Divide 25 by 100.
2) Minus 0.25 from 1.
3) Multiply $56 by 0.75.
Answer:
D. 4 jump ropes, 3 people, 15 friends
Step-by-step explanation:
In order to answer the question how many friends could play, you need to be able to determine the smaller of ...
- (number of ropes) × (friends per rope)
- number of friends
You can find the first of these numbers using the values of answer A, but if the number of Franklin's friends is smaller than 12, then you need to know that in order to properly answer the question. Hence, we believe you need to know ...
- the number of jump ropes
- the number of friends per rope
- the number of friends
Answer:
A.) P^2 - 10p + 24 = 0
B.) 6 or 4 dollars
Step-by-step explanation:
Given that a company’s weekly revenue, in thousands, is modeled by the equation
R = -p2 + 14p,
where p is the price of the product it makes. The company is considering hiring an outside source to distribute its products, which will cost the company 4p + 24 thousand dollars per week.
If the company want to break even, the cost of hiring distributors will be equal to the revenue per week.
Therefore,
-P^2 + 14p = 4p + 24
Collect the like terms
-P^2 + 14p - 4p - 24 = 0
-P^2 + 10p - 24 = 0
Multiply all by minus sign
P^2 - 10p + 24 = 0
B.) To find P, factorize the equation above.
P^2 - 10p + 24 = 0
- 6 x - 4 = 24 and - 6 - 4 = 10
P^2 - 4p - 6p + 24 = 0
P( p - 4 ) - 6( p - 4 )
P - 6 = 0 or p - 4 = 0
P = 6 or 4
Substitute both back into the equation to test their authenticates
When p = 6
6^2 - 10(6) + 24 = 0
When p = 4
4^2 - 10(4) + 24 = 0
