A large bin of mixed nuts contains peanuts, cashews, almonds, and walnuts. Luke scoops out a bowl full of nuts and counts how many of each type he has: 18 peanuts, 8 cashews, 10 almonds, and 9 walnuts. Armando scoops out a bowl of 30 nuts. About how many should he expect to be peanuts?
A.4
B.6
C.9
D.12
Answers
D.12
In total Luke found 18 peanuts out of 45 nuts- a ratio of 2:5
Armando will expect to find a ratio of 2:5 which is 12 peanuts out of 30 nuts.
Answer: D. 12
Step-by-step explanation:
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the length when the width is 4 meters and the perimeter is 36 meters.
Answers
The length of a rectangle is 14 meters when the width is 4 meters and the perimeter is 36 meters.
What is the perimeter of the rectangle?
The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.
The perimeter of a rectangle = 2(L+W)
Where W is the width of the rectangle and L is the length of the rectangle
We have been given that,
The formula P = 2L + 2W represents the perimeter of a rectangle.
To determine the length when the width is 4 meters and the perimeter is 36 meters.
The perimeter of a rectangle = 2(L+W)
Here W = 4 meters
⇒ 36 = 2L + 2(4)
⇒ 36 = 2L + 8
⇒ 2L = 28
⇒ L = 14
Therefore, the length of a rectangle is 14 meters.
Learn more about the Perimeter of the rectangle here:
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_36_ = ? + _4_
4 4
9 = L
Answers
Let's say 'L'=length, 'W'=width, and 'H'=height.
The surface area of a rectangular prism is
A = (2LW) + (2WH) + (2LH) = 2 (LW + WH + LH)
If you shrink the width and height, then the new width is W/7
and the new height is H/7.
The new surface area is
A = (2 L W/7) + (2 W/7 H/7) + (2 L H/7) .
That's A = 2 (LW/7 + WH/49 + LH/7) .
or you could write it as A = 2/7 (LW + WH/7 + LH)
There are many more ways to massage the formula and write it
in different ways, but I think writing it just that way is OK.
Given a>0 and b>0, which inequality shows the result of solving -ax/b >/ (c-d) for x? a)x </ ad-ac/b b)x </ bd-bc/a c)x >/ bc-bd/a d)x >/ bd-bc/a
Answers
We will see that the solution of the given inequality is:
How to solve the inequality?
Here we have the inequality:
To solve it, we need to isolate x on one side of the inequality.
First, we can multiply both sides for b:
Now we divide both sides by -a, because we are operating with a negative number, we need to change the direction of the greater than or equal to sign, so we will get:
That is the solution to the given inequality.
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Answers
Mia gives $80 as tip to the movers.
Explanation
The moving company charged $500 for its service.
Suppose, the amount of tip is dollar, which is 16% of the total charge.
So, the equation will be.....
So, the amount of tip Mia gives the movers is $80
Answer:
$80
Step-by-step explanation: Khan Academy
Answers
45 minutes + 52 minutes + 38 minutes + 47 minutes
which is equal to 182 minutes. Then, Tara needs to shift from one cd to another for 3 times and this will take her a total of 6 minutes. Thus, the total number of minutes she will need in order to play all four cds is 188 minutes.