Apply lg on both sides.
lg7^x^2 = lg9^x
Bring the power forward.
x^2lg7 = xlg9
x^2/x = lg9/lg7
x = lg9/lg7 = 1.13
Answer:
$243
Step-by-step explanation:
The first order you made :
6 apple
5 azaleas
And total cast was:
$147
The secant order you order was:
3 apples
4 azaleas
And total cast was:
$96
The total cast of both orders is:
$243
The answers are:
P(9, 2) = 72
P(5, 5) = 120
P(7, 7) = 5040
These are examples of permutations. The problems are asking us to find the total number of ways an event can happen.
In the first case, P(9, 2), we are asked to find the ways that 2 things can be chosen out of a group of 9.
9 x 8 = 72
P(5, 5) = 5 x 4 x 3 x 2 x 1
P(7, 7) = 7 x 6 x 5 x 4 x 3 x 2 x 1
Answer:7feet
Step-by-step explanation:
perimeter(p)=54ft
Width(w) +13=Length(L)
Perimeter=2xLength+2xwidth
P=2xL+2xw
L=w+13
54=2(w+13)+2w
54=2w+26+2w
Collect like terms
54-26=2w+2w
28=4w
Divide both sides by 4
28/4=4w/4
7=w
Width =7feet
Answer:
James answered 51 questions correctly.
Step-by-step explanation:
1) Slide the decimal 2 places to the left in the percentage (85% = .85)
2) Multiply total by new decimal (60 x .85)
3) All done! (51)
Keep in mind that 100% is just 1 whole. Therefor 85% of one whole is .85. In this problem, 60 represents our whole.