Answer:
y = -248
Step-by-step explanation:
Hi there!
Set up a proportion:

Cross-multiply:

I hope this helps!
Answer:
5√202
Step-by-step explanation:
By Pythagoras theorem,
x^2 = 45^2 + 55^2
= 2025 + 3025
x^2 = 5050
x = 5√202
Answer:
8(n + 1)
30(t + 1)
56(v + 1)
Step-by-step explanation:
(4n + 4)(2)
4(n + 1)(2)
8(n + 1)
(10t + 10)(3)
10(t + 1)(3)
30(t + 1)
(7v + 7)(8)
7(v + 1)(8)
56(v + 1)
Answer:
37 dimes and 10 nickels
Step-by-step explanation:
let d = # dimes
let n = # nickels
we can set up a system of equations:
n + d = 47
.05n + .10d = 4.2
if we solve the first equation for 'n' we get:
n = 47-d
now we can substitute this in for 'n' in the second equation:
.05(47-d) + .10d = 4.2
2.35 - .05d + .10d = 4.2
2.35 + .05d = 4.2
subtract 2.35 from each side to get:
.05d = 1.85
d = 1.85÷.05
d = 37
if d+n = 47 and d=37 then n = 10
Check:
.05(10) + .1(37) should equal 4.2
.50 + 3.7 = 4.2 [It Checks Out]
Answer:
The answer is 15 ounces
Step-by-step explanation:
33/4 ÷ 4 pounds.
(4 × 3 + 3)/4 ÷ 4 pounds.
15/4 ÷ 4 pounds.
15/4 × 1/4 pounds.
15/16 pounds.
Now we know that, 1 pound = 16 ounces.
So, 15/16 pounds = 15/16 × 16 ounces = 15 ounces.
Thus, The answer is 15 ounces