Answer:
x = 2, y = 1
Step-by-step explanation:
- 7x + 5y = 19
- -7x - 2y = -16
Use the elimination method to solve the system of equations. Add the terms from top to bottom. 7x and -7x cancel out.
0 + 3y = 3
Divide both sides by 3.
y = 1
Substitute 1 for y into the first equation.
7x + 5(1) = 19
7x + 5 = 19
Subtract 5 from both sides.
7x = 14
Divide both sides by 7.
x = 2
Answer:
3hrs 15 minutes
Step-by-step explanation:
10:45
-07:30
------------
03:15
------------
A factor tree is a diagram that is used to break down a number into its factors until all the numbers left are prime. The first way you can use a factor tree to find the factorization of a number is to divide out prime numbers only. ... Since 24 is an even number, the first prime number that can be factored out is a 2.
Hope this helps! :>
Answer:
The answer to your question is the first option
Step-by-step explanation:
![\sqrt[4]{\frac{24x^{6} y}{128x^{4} y^{5}}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cfrac%7B24x%5E%7B6%7D%20y%7D%7B128x%5E%7B4%7D%20y%5E%7B5%7D%7D%7D)
Find the prime factors of 24 and 128
24 2 128 2
12 2 64 2
6 2 32 2
3 3 16 2
1 8 2
4 2
2 2
1
24 = 2³ 3 128 = 2⁷
![\sqrt[4]{\frac{2³3x^{6} y}{2⁷x^{4} y^{5}}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cfrac%7B2%C2%B33x%5E%7B6%7D%20y%7D%7B2%E2%81%B7x%5E%7B4%7D%20y%5E%7B5%7D%7D%7D)
Simplify
![\sqrt[4]{\frac{3x^{2}}{2^{4} y^{4}}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cfrac%7B3x%5E%7B2%7D%7D%7B2%5E%7B4%7D%20y%5E%7B4%7D%7D%7D)
Simplify the root and result
![\frac{\sqrt[4]{3x^{2}}}{2y}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B4%5D%7B3x%5E%7B2%7D%7D%7D%7B2y%7D)
p = pennies
q= quarters
p = 2q+5 (1)
.25q+.01p=1.67 (2)
substitute the equation for pennies (1) into the 2nd equation
.25q+.01(2q+5)=1.67
distribute
.25q +.02q +.05 = 1.67
combine like terms
.27q +.05 =1.67
subtract .05 from each side
.27q = 1.62
divide by .27
q=6
p=2q+5
p=2(6)+5
p=12+5
p=17
There are 6 quarters and 17 pennies
