Step-by-step explanation:
the perimeter is
2×length + 2×width = 1030 ft
length + width = 515 ft
length = width + 181
now we use that in the first equation :
(width + 181) + width = 515
2×width + 181 = 515
2×width = 334
width = 167 ft
because of
length = width + 181
length = 167 + 181 = 348 ft
30%
percent means parts out of 100 so 30%=30/100=3/10
42 is 3/10 of x
'of' can be translated to multiply
42=3/10 times x
multiply both sides by 10/3 to get rid of fraction
420/3=x
140=x
the number is 140
Answer:
Below.
Step-by-step explanation:
This factors to the product of 2 binomials like (x + a)(x + b), where a and b are 2 numbers.
40 = 4 * 10 and 14 = 4 + 10 so the answer is
(x + 4)(x + 10).
If we expand this we will get back to the quadratic expression:
(x + 4)(x + 10)
= x(x + 10) + 4(x + 10)
= x^2 + 10x + 4x + 40
= x^2 + 14x + 40.
You just have to add all the amounts of the ingredients.
4 2/5 + 3 1/2 + 12 3/4
You can first add all the whole numbers
4 + 3 + 12 = 19
Then, you can add all the fractions
2/5 + 1/2 + 3/4
To add all the fractions, you have to use the LCD. The LCD is 20. So, divide 20 with the denominator of each fraction and multiply the result with the numerator. The denominator of all fractions would now be 20.
So,
(2x4 + 1x10 + 3x5) / 20
(8 + 10 + 15)/20
33/20
The answer is an improper fraction. We divide 33 by 20 and get the remainder.
33/20 = 1 13/20
We have a whole number of 1, we add this to the sum of the whole numbers we got earlier.
19 + 1 =20
Finally, we put together the whole number and the remainder (fraction)
20 13/20.
Therefore, the recipe can make 20 1-cup servings. The remaining 13/20 can't make a full-sized cup.
9514 1404 393
Answer:
arithmetic; common difference of 5
Step-by-step explanation:
It usually works well to check differences first. Here, they are ...
8 -3 = 5
13 -8 = 5
These are the same value, so the sequence is arithmetic with a common difference of 5.
