Given:
John had to pay a combined electric and gas bill $150.
The electric portion of the bill was $90.
To find:
The ratio of money spent on electric to that on gas.
Solution:
Let x be the amount of gas bill.
The electric portion of the bill was $90 and John had to pay a combined electric and gas bill $150. So,
The gas portion of the bill was $60.
The ratio of money spent on electric to that on gas is:
Therefore, the ratio of money spent on electric to that on gas is 3:2.
Answer: 12 friends.
Step-by-step explanation:
the data we have is:
Mei Su had 80 coins.
She gave the coins to her friends, in such a way that every friend got a different number of coins, then we have that:
The maximum number of friends that could have coins is when:
friend 1 got 1 coin
friend 2 got 2 coins
friend 3 got 3 coins
friend N got N coins
in such a way that:
(1 + 2 + 3 + ... + N) ≥ 79
I use 79 because "she gave most of the coins", not all.
We want to find the maximum possible N.
Then let's calculate:
1 + 2 + 3 + 4 + 5 = 15
15 + 6 + 7 + 8 + 9 + 10 = 55
now we are close, lets add by one number:
55 + 11 = 66
66 + 12 = 78
now, we can not add more because we will have a number larger than 80.
Then we have N = 12
This means that the maximum number of friends is 12.
Answer:
41
Step-by-step explanation:
the 2 triangles are same so the angles would be also same. 180-86-53= 41
<h3>
Answer: Choice A is correct.</h3>
The degree is the largest exponent of a single variable polynomial.
Answer:
A. The solution set is x = 5 or -7
Step-by-step explanation:
![\sqrt[4]{ {x}^{2} + 2x } = \sqrt[4]{35} \\ {({x}^{2} + 2x) }^{ \frac{1}{4} } = {(35)}^{ \frac{1}{4} } \\ {x}^{ \frac{1}{2} } + {2x}^{ \frac{1}{4} } = {35}^{ \frac{1}{4} } \\ {x}^{2} + 2x = 35 \\ {x}^{2} + 2x - 35 = 0 \\ (x - 5)(x + 7) = 0 \\ x = 5 \: or \: - 7](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B%20%7Bx%7D%5E%7B2%7D%20%2B%202x%20%7D%20%20%3D%20%20%5Csqrt%5B4%5D%7B35%7D%20%20%5C%5C%20%7B%28%7Bx%7D%5E%7B2%7D%20%2B%202x%29%20%7D%5E%7B%20%5Cfrac%7B1%7D%7B4%7D%20%7D%20%20%3D%20%20%7B%2835%29%7D%5E%7B%20%5Cfrac%7B1%7D%7B4%7D%20%7D%20%20%5C%5C%20%7Bx%7D%5E%7B%20%5Cfrac%7B1%7D%7B2%7D%20%7D%20%2B%20%7B2x%7D%5E%7B%20%5Cfrac%7B1%7D%7B4%7D%20%7D%20%20%20%3D%20%20%7B35%7D%5E%7B%20%5Cfrac%7B1%7D%7B4%7D%20%7D%20%20%5C%5C%20%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%202x%20%3D%2035%20%5C%5C%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%202x%20%20-%20%2035%20%3D%200%20%5C%5C%20%28x%20-%205%29%28x%20%2B%207%29%20%3D%200%20%5C%5C%20x%20%3D%205%20%20%5C%3A%20or%20%5C%3A%20%20-%207)
Therefore, the answer is A. as the solution is x = 5 or -7
