Answer:
1st question: M=22.62 while C=75.38
2nd question: M=.22 while C=1.97
Step-by-step explanation:
If a mirror costing x dollars is marked up 30%, then we have to find x such that 30%x+x is 98 dollars.
We are solving:
.3x+x=98
Combine like terms:
1.3x=98
Divide both sides by 1.3:
x=75.38
M=98-75.38=22.62
C=75.38
So M=22.62 while C=75.38.
If ream of paper cost x and is marked up 11%, then we have to find x such that 11%x+x is 2.19.
We are solving:
.11x+x=2.19
1.11x=2.19
x=1 97
M=2.19-1.97=.22
So M=.22 while C=1.97
I solve this question by hand and have attached images for you because it is very difficult or impossible to do it here . I do it as simple as I can and make it very comprehensive for you. Hopefully, you will understand.
Note: the order for images remain same as I have attached.
If 9 of the sparrows is 45% of the birds in the backyard, 9/x = 45/100.
Cross multiply to get 9 * 100 = 45x; simplified is 900 = 45x or 20.
This means that there are 20 birds in the backyard. You can check this by dividing 9/20 which equals 45%
To expand (3 - 2x)^6 use the binomial theorem:
(x + y)^ n = C(n,0) x^ny^0 + C(n,1)x^(n-1) y + C(n,2)x^(n-2) y^2 + ...+ C(n,n+1)xy^(n-1) + C(n,n)x^0y^n
So, for x = 3, y = -2x , and n = 6 you get:
(3 - 2x) ^6 = C(6,0)(3)^6 + C(6,1)(3)^5 (-2x) + C(6,2) (3)^4 (-2x)^3 + C(6,3) (3^3) (-2x)^4 + C(6,4)(3)^2 (-2x)^4 + C(6,5) (3) (-2x)^5 + C(6,6) (-2x)^6
So, the sixth term is C(6,5)(3)(-2x)^5 = 6! / [5! (6-5)! ] * 3 * (-2)^5 x^5 = - 6*3*32 = - 576 x^5.
The coefficient of that term is - 576.
Answer: - 576
R = rate for the lawn sprinkler
rate of lawn sprinklerand hose would be 5 minutes /r ( rate per minute)
we would then want to add that to the ratio of the lawn sprinkler and hose together together which would be 5 minutes for both / 8 minutes for hose
we want to add those together to equal 100 percent, which can also be written as 1
so the correct equation would be B) 5/8 + 5/r = 1
