Answer:
2 quarts of 100% antifreeze.
Step-by-step explanation:
5 quarts/ .40 * x/ 1
.40x= 5
x=2
The perimeter of a rectangle is <u>length + length + width + width</u>.
We know that the length of a rectangle is 3cm more than its width, which gives us the equation: (l for length and w for width)
l = 3 + w
We also know that the perimeter of the rectangle is 98cm, which gives us the equation:
98 = 2l + 2w (equation for perimeter of a rectangle as noted above)
We can divide both sides of this equation by 2 to get:
49 = l + w
Now we'll stick l = 3 + w into the above equation, which gives us:
49 = 3 + w + w
which simplifies to 49 = 3 + 2w.
Now we'll subtract 3 from both sides:
49 - 3 = 46
3 + 2w - 3 = 2w
which gives us 46 = 2w.
Dividing both sides by 2 gives us 23 = w.
Substituting w = 23 into the equation l = 3 + w gives us:
l = 3 + 23
l = 26cm.
Let's check our answer. 26cm is 3cm more than 23cm. 26cm + 26cm + 23cm + 23cm gives us 98cm. The length is 26cm and the width is 23cm.
Answer: the answer is 12
Step-by-step explanation:
Answer:
Least positive integer divisible by the numbers 2, 4, and 7 is 28
Step-by-step explanation:
We can find the least positive integer divisible by the numbers 2, 4, and 7 by taking the LCM
First lets List all prime factors for each number.
Prime Factorization of 2
2 is prime => 
Prime Factorization of 4 is:
2 x 2 => 
Prime Factorization of 7 is:
7 is prime => 
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
The new superset list is
2, 2, 7
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 7 = 28
perimeter = 2L +2W
the problem states the length ( L) is 2 meters longer then width, so L = w+2
so perimeter =2(w+2) +2w
24 = 2(w+2) +2w
24 = 2w+4 +2w
24 = 4w+4
20=4w
w=20/4 = 5
