Answer:
D. 30
Step-by-step explanation:
-5(-8)(3)(-1) /(-4)
Lets simplify the numerator first
-5*-8 = 40
40 *3 = 120
120*-1 = -120
Replace -5(-8)(3)(-1) with -120
-120/-4
A negative divided by a negative is a positive
30
Answer: The four integers are: 6,8,11 and 14
Step-by-step explanation:
The attachments below contains step-by-step explanations of the guessing and checking approach that would be used to arrive at the answer.
The calculations on the attachments is from left to right.
Answer:
There 24 pieces of Apples in the bag of dry fruit.
Step-by-step explanation:
Let the total number of dried fruit bought be 'x'.
Given:
1/4 of the dried fruit is cherries.
Hence Number of cherries = ![\frac{1}{4}x](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7Dx)
Also Given:
2/3 of the remainder is pears.
Hence we can say Number of pears is equal to 2/3 times Total number of dried fruit minus Number of cherries.
Framing the equation we get;
Number of Pears = ![\frac{2}{3} (x-\frac{1}{4}x) = \frac{2}{3} x- \frac{2}{12}x= \frac{2}{3} x- \frac{1}{6}x](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20%28x-%5Cfrac%7B1%7D%7B4%7Dx%29%20%3D%20%5Cfrac%7B2%7D%7B3%7D%20x-%20%5Cfrac%7B2%7D%7B12%7Dx%3D%20%5Cfrac%7B2%7D%7B3%7D%20x-%20%5Cfrac%7B1%7D%7B6%7Dx)
But Given:
Number of Pears = 48
Substituting the values we get;
![\frac{2}{3} x- \frac{1}{6}x= 48\\](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20x-%20%5Cfrac%7B1%7D%7B6%7Dx%3D%2048%5C%5C)
By taking L.C.M we get;
![\frac{2\times2}{3\times 2} x- \frac{1\times1}{6\times1}x= 48\\\\\frac{4}{6} x- \frac{1}{6}x= 48\\\\\frac{4x-x}{6}=48\\\\\frac{3x}{6}=48\\\\\frac{x}{2}=48\\\\x= 48\times2= 96](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Ctimes2%7D%7B3%5Ctimes%202%7D%20x-%20%5Cfrac%7B1%5Ctimes1%7D%7B6%5Ctimes1%7Dx%3D%2048%5C%5C%5C%5C%5Cfrac%7B4%7D%7B6%7D%20x-%20%5Cfrac%7B1%7D%7B6%7Dx%3D%2048%5C%5C%5C%5C%5Cfrac%7B4x-x%7D%7B6%7D%3D48%5C%5C%5C%5C%5Cfrac%7B3x%7D%7B6%7D%3D48%5C%5C%5C%5C%5Cfrac%7Bx%7D%7B2%7D%3D48%5C%5C%5C%5Cx%3D%2048%5Ctimes2%3D%2096)
Hence Total Number of Dry fruit = 96 pieces.
Number of cherries = ![\frac{1}{4}x=\frac{1}{4} \times 96 = 24](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7Dx%3D%5Cfrac%7B1%7D%7B4%7D%20%5Ctimes%2096%20%3D%2024)
Now We need to find the Number of Pieces of Apples.
We know that Total Number of Pieces of dried fruit is equal to sum of Number of cherries and Number of Pears and Number of Apples.
Framing Equation we get
Number of Pieces of Apples= Total Number of Pieces of dried fruit - Number of cherries - Number of Pears = 96-48-24 =24 pieces
Hence There 24 pieces of Apples in the bag of dry fruit.
Answer: R = (4600 - 200x) ( 9 + 1x)
Step-by-step explanation:
We have that
Revenue = Members * (Cost Per Member)
Where x represents the number of $1 increases
Answer:
4 and -6
Step-by-step explanation:
-6 + 4 = -2
-6 * 4 = -24