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Eddi Din [679]
2 years ago
13

If B is 60% more than A, then A is

Mathematics
2 answers:
Inessa05 [86]2 years ago
5 0

Answer:

A. 37.5% less than B

Step-by-step explanation:

We can write an equation to model this:

B being 60% more than A means that:

B=0.6A+1A

B=1.6A

Let's isolate A.

A=B/1.6

Multiply the top and bottom by 10 to get whole numbers

A=10B/16

Simplify

A=5B/8

5/8 = 62.5%

A=0.625B

Therefore, A is 62.5% of B

This means that A is 37.5% less than B.

madam [21]2 years ago
4 0

Answer:

<u>37.5% less than B</u>

Step-by-step explanation:

It is given that B is 60% more than A.

  • A (160%) = B
  • A = B / (160%)
  • A = B / (8/5)
  • A = 5B/8
  • A = 0.625B
  • A = (62.5%) B

Since A is 62.5% of B, it is <u>37.5% less than B</u>.

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Yankee Candle is having a sale where everything in the store is 25% off. If a large
Naily [24]

Answer:

$22.125

Step-by-step explanation:

25% discount means 75% to be paid

0.75×29.5 = 22.125

4 0
3 years ago
Find the critical numbers (x-values) of the function y equals 2 x to the power of 5 plus 5 x to the power of 4 minus 19. Enter y
Zolol [24]

Answer:

x=0,x=-2

Step-by-step explanation:

From the question we are told that:

y=2x^5+5x^4-19

Generally the equation if differentiated is mathematically given by

y'=10x^4+20x^3-0

Where

y'=0

10x^4+20x^3=0

Factorizing,We have

x=0,x=-2

Therefore

The critical points are

x=0,x=-2

4 0
3 years ago
A candy company has 150 kg of chocolate-covered nuts and 90 kg of chocolate-covered raisins to be sold as two different mixes. O
Westkost [7]

Answer:

1. 7x + 9.5y

2. 1980

Step-by-step explanation:

In Mix A, there is an equal amount of nuts and raisins.

Let x = kg of nuts = kg of raisins.

In Mix B, there is 3 times as much nuts as raisins.

Let y = kg of raisins, then 3y = kg of nuts.

We have this information:

           Nuts    Raisins   Price  

mix A    x   +   x     =  $ 7.00

mix B    3y  +  y     =  $  9.50

Total:   150   90

Hence, the number of kilograms of each mix should company prepare for the maximum revenue is = 7x + 9.5y

We have these inequalties:

{x≥0y≥0x+3y≤150x+y≤90} (equation 1)

There will be

x+x=2x kg of Mix A at $7.00 per kg.

The revenue from Mix A is:

7(2x)=14x dollars.

There will be

3y+y=4y kg of Mix B at $9.50 per kg.

The revnue from Mix B is:

9.5(4y)=38y dollars.

Hence, the total revenue is:

R=14x+38y (equation 2).

Graph the region determined by [1] and locate its vertices.

You should get:

(0,0),(90,0),(0,50),(60,30)

Test the vertices into [2] and see which vertex produces maximum revenue

(0,0): R=14(0)+38(0)=0 Minimum revenue

(90,0):R=14(90)+38(0)=1260

(0,50): R=14(0)+38(50)=1900

(60,30):R=14(60)+38(30)=1980 Maximum revenue.

3 0
3 years ago
You rotate a triangle 90° counterclockwise about the origin. Then you translate its image 1 unit left and 2 units down. The vert
sergiy2304 [10]

Answer:

The coordinates of the original triangle are (2,4). (4,1) and (1,1)

Step-by-step explanation:

About the origin, I have to rotate a triangle 90° counterclockwise. Then I translate its image 1 unit left and 2 units down.

The vertices of the final image are (-5,0), (-2,2), and (-2,-1).

We need to get the vertices of the original triangle.

So, start from a triangle with vertices (-5,0), (-2,2), and (-2,-1) and do the reverse to get the original triangle.

So, we will translate the image triangle by 1 unit right and 2 units up and we will get the triangle with vertices (-5 + 1, 0 + 2), (- 2 + 1, 2 + 2) and (- 2 +1, - 1 + 2)  ≡ (-4,2), (-1, 4) and (-1,1).

Now, we have to rotate this intermediate triangle by 90° clockwise.

Therefore, the coordinates of the original triangle are (2,4). (4,1) and (1,1) (Answer)

{Since, for 90° rotation the coordinates of all the vertices will interchange their location (i.e. x-value to y-value and y-value to x-value) and a negative sign will be added to the y-coordinate of the interchanged coordinates}  

5 0
3 years ago
H varies directly as L. If H=20 when L=50, determine H when L=30
vichka [17]

The correct answer is 12

Set up a ratio and then solve. See paper attached. (:

4 0
3 years ago
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