Answer:
Step-by-step explanation:
What I would do is convert everything to have a denominator of 10 so it could be easier to add.
6 would equal 60/10
7 would equal 70/10
2/5 would equal 4/10
now add all together
60/10 + 70/10 + 4/10 +9/10 and you get 143/10. If you wanted to simplify you would get 14 3/10 or 14.30
Answer:
-5 when ...
Step-by-step explanation:
The rules of exponents can help you simplify the given product.
<h3>Rules</h3>
(a/b)^c = (a^c)/(b^c)
(ab)^c = (a^c)(b^c)
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
<h3>Application</h3>
![\left(\dfrac{x}{y}\right)^2(-x^2y)^3=\\\\\dfrac{x^2(-1)^3(x^2)^3y^3}{y^2}=-x^{2+2\cdot3}y^{3-2}=-x^8y](https://tex.z-dn.net/?f=%5Cleft%28%5Cdfrac%7Bx%7D%7By%7D%5Cright%29%5E2%28-x%5E2y%29%5E3%3D%5C%5C%5C%5C%5Cdfrac%7Bx%5E2%28-1%29%5E3%28x%5E2%29%5E3y%5E3%7D%7By%5E2%7D%3D-x%5E%7B2%2B2%5Ccdot3%7Dy%5E%7B3-2%7D%3D-x%5E8y)
This expression does not match any of those offered.
When x=-1 and y=5, this becomes ...
![-(-1)^8(5)=\boxed{-5}](https://tex.z-dn.net/?f=-%28-1%29%5E8%285%29%3D%5Cboxed%7B-5%7D)
Answer:
17x+5
Step-by-step explanation:
Simplify the equation
EF = 50 in.
In similar figures, corresponding sides are proportional. We use the similarity statement ABCD~EFGH to write a proportion:
![\frac{AB}{EF}=\frac{AD}{EH} \\ \\ \frac{30}{x}=\frac{45}{75}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BEF%7D%3D%5Cfrac%7BAD%7D%7BEH%7D%0A%5C%5C%0A%5C%5C%20%5Cfrac%7B30%7D%7Bx%7D%3D%5Cfrac%7B45%7D%7B75%7D)
Cross multiply the proportion:
45*x = 75*30
45x = 2250
Divide both sides by 45:
45x/45 = 2250/45
x = 50
Answer:
10
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3x−5=
1
2
x+2x
3x+−5=
1
2
x+2x
3x−5=(
1
2
x+2x)(Combine Like Terms)
3x−5=
5
2
x
3x−5=
5
2
x
Step 2: Subtract 5/2x from both sides.
3x−5−
5
2
x=
5
2
x−
5
2
x
1
2
x−5=0
Step 3: Add 5 to both sides.
1
2
x−5+5=0+5
1
2
x=5
Step 4: Multiply both sides by 2.
2*(
1
2
x)=(2)*(5)
x=10