Answer:
24:5
Step-by-step explanation:
4 yards is 3 feet, so 4*3=12. There are 12 inches in a foot, so 12*12=144. 144:30= 72:15 = 24:5
Answer:
80 pages
Step-by-step explanation:
x = number of pages of articles
x = 110 - (23 + 14/2)
x = 110 - (23 + 7)
x = 110 - 30
x = 80
Answer:
A. 4 inches
Step-by-step explanation:
Applying,
P = 2(L+W)............. Equation 1
Where P = Perimter of the rectangle, L = Length of the rectangle, W = width of the rectangle.
make W the subject of the equation
W = (P/2)-L............ Equation 2
From the question,
Given: P = 32 inches, L = 1 foot (Convert from Foot to inches), L = 12 inches
Substitute these values into equation 2
W = (32/2)-12
W = 16-12
W = 4 inches.
Hence the right option is A.
Answer:
(D) Divide the first equation,
, by 2.
Step-by-step explanation:
Given:
![2x + 4y = 8 \ \ \ \ equation \ 2](https://tex.z-dn.net/?f=2x%20%2B%204y%20%3D%208%20%5C%20%5C%20%5C%20%5C%20equation%20%5C%202)
We need to find the operation performed on equation so as to get resultant equation as:
![-2x + 4y = 8](https://tex.z-dn.net/?f=-2x%20%2B%204y%20%3D%208)
![2x + 4y = 8](https://tex.z-dn.net/?f=2x%20%2B%204y%20%3D%208)
From Above we can see that there is no change in equation 2 with respect to resultant equation.
Also Resultant equation is simplified form of equation 1.
Simplifying equation 1 we get;
![-4x + 8y = 16](https://tex.z-dn.net/?f=-4x%20%2B%208y%20%3D%2016)
We can see that 2 is the common multiple on both side.
Hence we will divide equation 1 with 2 we get
![\frac{-4x}{2}+\frac{8y}{2}=\frac{16}{2}\\\\-2x+4y=8](https://tex.z-dn.net/?f=%5Cfrac%7B-4x%7D%7B2%7D%2B%5Cfrac%7B8y%7D%7B2%7D%3D%5Cfrac%7B16%7D%7B2%7D%5C%5C%5C%5C-2x%2B4y%3D8)
which is the resultant equation.
Hence (D) Divide the first equation,
, by 2 is the correct option.
Answer:
1. 1458
2. 500 or -500
Step-by-step explanation:
1. a4=54, a5=162
r = 162/54 = 3
a7 = a5 × r²
= 162 × 3² = 1458
2.a4=-4, a6=-100
r² = -100/-4 = 25
r = +/- 5
a7 = a6 × r
= -100 × +/- 5
= +/- 500