Answer:
140
Step-by-step explanation:
When working HCF and LCM problems, I like to think in terms of this little diagram:
(a [ b ) c]
It shows me one of the numbers is ab, the other is bc, the HCF is b and the LCM is abc. "a" and "c" must be relatively prime for "b" to be the HCF.
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Here, we're given ...
b = 20
ab = 320
abc = 2240
Then ...
c = abc/(ab) = 2240/320 = 7
x = bc = 20(7) . . . . . . equivalently, x = (abc·b)/(ab) = (2240·20)/320
x = 140
Answer:
Width: x + 3
(Length, width):
(5,4) (6,5) (7,6)
Step-by-step explanation:
x² + 7x + 12
x² + 4x + 3x + 12
x(x + 4) + 3(x + 4)
(x + 4)(x + 3)
Longer one is the length,
With is (x + 3)
x = 1,
5 × 4
x = 2,
6 × 5
x = 3,
7 × 6
1500 people subscribed Sunday edition and 250 people subscribed only sunday edition.
<u>Solution:</u>
Given, A survey of 2500 subscribers to a certain news paper revealed that 2250 people subscribe to the daily morning edition
And 1250 subscribe to both the daily and the sunday editions.
We have to find how many subscribe to the Sunday edition? how many subscribe to the Sunday edition only?
Let x denote the number who subscribe to the Sunday edition.
Then the addition rule with overlap tells us that
Those who subscribe daily edition + those who subscribe sunday edition - those who subscribe both daily and sunday edition = total subscribers in survey
2250 + x – 1250 = 2500
1000 + x = 2500
x = 1500
so, 1500 subscribe to the Sunday edition and 1500 – 1250 = 250 subscribe to the Sunday edition only.
Hence, 1500 people subscribed Sunday edition and 250 people subscribed only sunday edition.
Answer:
A) x=4
B) x=35/2
Step-by-step explanation:
calculate the product
A) 5x/2+1=11
multiply both sides of the equation by 2
5x+2=22
move the constant to the right hand side and change its sign
5x+22-2
now subtract the numbers
5x=20
now didvide both sides
5x=20
x=4
B)
calculate the product
2x/7-3=2
multiply both sides of the equation by 7
2x-21=14
move the constant to the right hand side and change its sign
2x=14+21
add the numbers
2x=35
now divide both sides of the equation by 2
x=35/2
