70=3/5
times 5/3
350/3
this is 7/8
350/3=7/8
times 8/7 both sides
400/3
that is 5/6
400/3=5/6 of total
times 6/5 both sides
800/5=160
kate had 160 originally
Answer:
x = 4
Step-by-step explanation:
- = 6x - - 5
Multiply through by 15 ( the LCM of 5 and 3) to clear the fractions
5(7x + 14) - 3(17 - 3x) = 90x - 5(4x + 2) - 75 ← distribute parenthesis on both sides
35x + 70 - 51 + 9x = 90x - 20x - 10 - 75 , that is
44x + 19 = 70x - 85 ( subtract 44x from both sides )
19 = 26x - 85 ( add 85 to both sides )
104 = 26x ( divide both sides by 26 )
4 = x
X-the number
16 + 2x = -24 |subtract 16 from both sides
2x = -40 |divide both sides by 2
<u>x = -20</u>
Answer: <em>The number is -24</em>
Answer:
20 hours
Step-by-step explanation:
To find the answer, you first should find out how long is 25% of the original battery life, 16 hours. To find this, you can divide 16 by 4, or multiply 16 by 0.25. Either works.
16/4=4.
So the new battery lasts 4 hours more than the old battery. Then, add this to the original length to find how long the new battery will last in total.
16+4=20
Isiah determined that 5a2 is the GCF of the polynomial a^3 – 25a^2b^5 – 35b^4-<u>No,Isiah is not correct if he states that that 5a2 is the GCF of the polynomial</u>
Step-by-step explanation:
Firstly ,we divide each term by the GCF and if the term does not divide evenly, then it is not valid
so,
5a^2 divide by a^3
we see that we cannot divide 5a^2 by a^3 because firstly the power is higher and then there is no 5 number.Thus it is not the GCF
The GCF of the coefficients is 1, and there are no common variables among all three terms of the polynomial.
Also we find that 5b^4 is a factor of -25a^2b^5 and -35b^4, but not a3. Additionally, a2 is a factor of a3 and -25a^2b^5, but not -35b^4.