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Eddi Din [679]
1 year ago
13

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

Mathematics
2 answers:
Inessa05 [86]1 year 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]1 year 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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a charitable organization in Lanberry is hosting a black tie benefit. Yesterday, the organization sold 55 regular tickets and 49
jenyasd209 [6]

Answer:

  • regular: $67
  • VIP: $122

Step-by-step explanation:

Let r and v represent the costs of a regular and VIP ticket, respectively. The two sales can be represented by ...

  55r +49v = 9663

  79r +84v = 15541

We can subtract 7 times the second equation from 12 times the first to eliminate the v terms.

  12(55r +49v) -7(79r +84v) = 12(9663) -7(15541)

  660r +588v -553r -588v = 115,956 -108,787 . . . . . eliminate parentheses

  107r = 7169 . . . . . . . simplify

  r = 67 . . . . . . . . . . . divide by 107

Using this value in the first equation, we have ...

  55(67) +49v = 9663

  v = 5978/49 . . . . . . . . . subtract 3685, divide by 49

  v = 122

A regular ticket costs $67; a VIP ticket costs $122.

_____

<em>Additional comment</em>

When using "elimination" to solve a system of equations, you're looking for coefficients of the same variable that are related by small factors. Preferably, one coefficient is the same as, or a small multiple of, the other. Here, 55 and 79 (the coefficients of x) are not related by an integer, or a couple of small integers. On the other hand, the y-coefficients 49 and 84 have a common factor of 7, and are in the ratio 7:12, a pair of small numbers. This is why we chose to eliminate the y-variable.

The x-variable could be eliminated using 55 and -79 as multipliers of the equations. This results in larger numbers, and more chance for error. (Errors tend to creep in when computing or copying large numbers.)

Of course, any of several machine methods could be used to solve these equations, including graphing and matrix-solving functions. Here, we tried to honor the requirement to solve by elimination.

7 0
2 years ago
Pam likes to practice dancing while preparing for a math tournament. She spends 80 minutes every day practicing dance and math.
Kisachek [45]
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8 0
3 years ago
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How many ducks do you see?
tekilochka [14]

Answer:

13

Step-by-step explanation:

count the big ducks first

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6 0
3 years ago
Help please I’ll give you 45 points
maksim [4K]

Answer:

63 square inches

Step-by-step explanation:

You already have the polgygon divided into two rectangles, so we will use them.

The top rectangle has the dimensions of 5 and 9.

The bottom rectangle has the dimensions of 6 and 3.

To find the area of a rectangle:

area = length x width

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The area of the top rectangle:

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2 years ago
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Answer:Oop

Step-by-step explanation:

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