0.07 (5000-x) + 0.15x= 480
Solve for x
350-0.07x+0.15x=480
0.08x=130
X=1625 invested at 15%
(5000-1625)=3375 invested at 7%
Answer:
w = 7m
l =9 m
Step-by-step explanation:
Let w = width
l = w+2
A = l*w
63 = (w+2) * w
63 = w^2 +2w
Subtract 63 from each side
0 = w^2 +2w - 63
Factor
What 2 numbers multiply to -63 and add to 2
9*-7 = -63
9-7 = 2
0 = (w +9) ( w-7)
Using the zero product property
w+9 =0 w-7 =0
w = -9 w = 7
Since we cannot have a negative length
w=7
l =w+2 =7+2 = 9
Answer:
D., x= 19.7 or ≈20. g
Step-by-step explanation:
P(x) = [100(15+x)]/(100+x)
When 0 g additional salt is added, x=0. we have
P(0) = [100(15+0)]/(100+0)= 15
x=0, P=15
We can see this point only on the graph D.
P(x) =29 = [100(15+x)]/(100+x)
29 = [100(15+x)]/(100+x)
29(100+x) = 100(15+x)
2900+29x = 1500+100x
2900-1500=100x-29x
1400 = 71x
x ≈ 19.7 g or ≈20. g
From the graph D, we can see that to get 29% we need to add ≈ 20 g of salt.
Answer:
x = 1
Step-by-step explanation:
1. Expand.
6x − 18 + 10 = 8x − 10
2. Simplify 6x − 18 + 10 to 6x − 8.
6x − 8 = 8x − 10
3. Subtract 6x from both sides.
−8 = 8x − 10 − 6x
4. Simplify 8x − 10 − 6x to 2x − 10.
−8 = 2x − 10
5. Add 10 to both sides.
−8 + 10 = 2x
6. Simplify −8 + 10 to 2.
2 = 2x
7. Divide both sides by 2.
1 = x
8. Switch sides.
x = 1
46? Since we got 7*3+5*5 and that is 21+25=46.
