For this problem, I'd use cross-multiplication.
9/12 = x/8.
When cross multiplying, multiply 12*x and 9*8. This leads to a new equation:
12x = 72.
Then you solve as an algebra problem.
*Divide 12 on both sides*
x = 6.
Answer:
$1.56
Step-by-step explanation:
125.32 : 80.5 = 1.55677 => ~1.56$
Answer:
L(x) = 11 - 2x
W(x) = 8.5 - 2x
V(x) = 4x³ - 39x² + 93.5x
Step-by-step explanation:
If a square of x sides length is cut from each corner of the sheet, then it meas the length and width of the box a shortened by x inces from each side, giving a total subtraction of 2 times x inches.
FORMULA FOR LENGTH:
Since, Length is the bigger side of the box. Therefore, it will be taken on 11 inches side of the paper:
<u>L(x) = 11 - 2x</u>
FORMULA FOR WIDTH:
Since, width is the smaller side of the box. Therefore, it will be taken on 8.5 inches side of the paper:
<u>W(x) = 8.5 - 2x </u>
FORMULA FOR VOLUME:
Volume is the product of length, width and time:
V(x) = L(x)*W(x)*H(x)
Height must be equal to the side folds which are equal to length of the side of square = x:
H(x) = x
Therefore,
V(x) = (11 - 2x)(8.5 - 2x)(x)
V(x) = (93.5 -22x -17x + 4x²)(x)
<u>V(x) = 4x³ - 39x² + 93.5x</u>
Answer:
Boys(B) + Girls(G) = 85 ----(1)
Mangoes = 380
Each boy gets 4mangoes
Each girl gets 5mangoes
4B + 5G = 380 -------(2)
from (1) B = 85 - G
Substitute B in (2)
4(85 - G) + 5G = 380
360 - 4G + 5G = 380
G = 380 - 360 = 20
from (1) B = 85 - 20 = 65
Therefore number of boys = 65 and girls = 20
Ratio of boys and girls = 65 : 20 = 13 : 4
Answer:
x=6
Step-by-step explanation:
The given equation is
We need to find the value of x for which the given statement is true.
Using distributive property we get
Add 8 on both sides.
Divide both sides by 5.
Therefore, the given statement is true form x=6.
