The number of all divisors of 6 <span>
6 multiples of the number 18 we find one of
so the answer is 18
</span>
Answer:
(B)
4 +/- 3 sqrt(2) or 4+3sqrt(2) and 4-3sqrt(2)
Step-by-step explanation:
4(c-4)^2=72
4(c-4)(c-4)=72
foil the parenthesis (first, outside, inside, last)
4(c^2 -4c -4c +16)=72
4(c^2-8c+16)=72
divide each side by 4
c^2-8c+16=18
subtract 18 from both sides
c^2-8c-2
use quadratic formula
((-b +/- sqrt((-b^2)-4ac)))/2a
((-(-8)+/-sqrt((-8)^2-4(1)(-2)))/2(1))
(8+/-sqrt(64-(-8)))/2
(8+/-sqrt(64+8))/2
(8+/-sqrt(72))/2
(8+/-sqrt(36 * 2))/2
(8+/-6sqrt(2))/2
4+/-3sqrt(2)
or 4+3sqrt(2) and 4-3sqrt(2)
<u>Answer:</u>
Liam will use 3.5 gallons of paint to paint his living room
<u>Solution:</u>
Given that Liam has gallons of paint.
He uses of paint to paint his living room
We need to find how many gallons of paint will Liam use
The gallons of paint Liam used can be found as follows:
Amount of paint Liam has = gallons
Converting mixed fraction to decimal we get 8.75
Amount of paint used = 2/5th of available amount
Hence Liam will use 3.5 gallons of paint to paint his living room
If you have 8 yellow balloons for every 12 blue balloons, then if you have 20 balloons in total, 8 out of 20 of those balloons will be yellow. Then you can set up this ratio:
Then, you can use either cross multiplication or multiply the numerator and denominator by the same number to help solve for x. Personally, I prefer cross multiplication, so that's what I'll show you here:
Finally, solve for x:
If you had 100 balloons, you will have
40 yellow balloons.
Hope this helps!!
Answer:
c) 325
Step-by-step explanation:
The fraction of students that went to the movies is 14/112. To find the number of students who went to the movies from a larger group, you have to find a fraction equal to 14/112, whose denominator is 2600 (the number of students from the larger group).
14/112 = x/2600
You can do cross multiplication here. Cross multiplication is multiplying the denominator of one fraction by the numerator of the fraction equivalent to it. That product will be equal to the numerator of the first fraction * denominator of the second fraction.
112*x = 14*2600
x = 325
Approximately 325 students out of 2600 students would've gone to the movie last weekend.