I honestly believe its D but I'm not for sure. Sorry if i didn't help much
Answer:
c. 5x - 3 = 125
Step-by-step explanation:
Mrs. Jones deducts $3 from each of her 5 children's allowances this week because they didn't finish their chores. They then received a total of $125 in allowance. a. 5(x - 3) = 125
b. 5x - 15 = 125
c. 5x - 3 = 125
d. 5x = 140
Solution:
Let x represent the allowance for each of Mrs. Jones children. Since she deducts $3 from each children because they didn't finish their chores, the allowance for each child becomes x - 3.
There are 5 children, hence the allowance for the 5 children would be:
5(x-3)
Since they received a total of $125 in allowance, hence:
5(x-3) = 125
5x - 15 = 125
5x = 125 + 15
5x = 140
Option c is wrong
Answer:
$32.07
Step-by-step explanation:
Since sales tax is applied to the cost after the discount, you need to first find the cost of the game with a 20% discount. The original price of the game is $38. Since the discount is 20%, you are paying 80% of the original price or $38 x 0.80 = $30.40. With the updated price of the game, you need to add on the cost of sales tax at a rate of 5.5%. Since you will be paying the cost of the game plus and additional 5.5% sales tax, you can multiply the updated price by 1.055 or: $30.40 x 1.055 = $32.07.
Answer:
A. is linear
Step-by-step explanation:
180^2 + 235^2 = (cliff base to point on bridge)^2
32400 + 55225 = 87625
so cliff base to point on bridge = sqrt of 87625.
Then notice 87625 + d^2 = (x+180)^2
since x^2 +235^2 = d^2,
substitute (x^2 + 235^2) for d^2, like this:
87625 + x^2 + 235^2 = (x+180)^2
87625 + x^2 + 55225 = x^2 + 360x + 32400
87625 + 55225 - 32400 = x^2 - x^2 +360x
360x = 110450
x = about 306.8 feet
h = x+180, so h = 486.8 feet
Remember d^2 = x^2 + 235^2, so
d^2 = 306.8^2 + 235^2
d^2 = 149354.6489
d = about 386.46 feet