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4 years ago

By what percent will the product of two numbers decrease if one of them is increased by 30% and the other is decreased by 30%?

Mathematics

2 answers:

77julia77 [94]4 years ago

8 0

Answer:

Step-by-step explanation:

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Ivan4 years ago

7 0

Two numbers A & B, whose product is AB

when A increased by 30% and B decreased by 30%, the product is:
1.3A * 0.7B = 0.91AB
then
1AB - 0.91AB = 0.09 which is 9% decrease. So the answer is a 9% decrease. 
Hope this helps. :)

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Step2247 [10]

[1,infinity sign) this is the answer

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3 years ago

Determine the intercepts of the line that correspond to the following table of values. x y 4 0 12 5 20 10

gogolik [260]

Let

A(4,0)

B(12,5)

C(20,10)

we know that

The x-intercept of the line is the value of x when the value of y is equal to zero

The y-intercept of the line is the value of y when the value of x is equal to zero

The point A(4,0) is the x-intercept of the line

Find the slope AB

m=(y2-y1)/(x2-x1)

mAB=(5-0)/(12-4)--------> mAB=5/8

with the slope m and the point A(4,0) find the equation of the line

y-y1=m*(x-x1)----------> y-0=(5/8)*(x-4)-------> y=(5/8)x-2.5-----> y=0.625x-2.5

Find the y-intercept

For x=0

y=0.625*0-2.5---------> y=-2.5

the y-intercept is the point (0,-2.5)

therefore

the answer is

the x-intercept is the point (4,0)

the y-intercept is the point (0,-2.5)

see the attached figure to better understand the problem

4 0

3 years ago

Subtract 386 from 72,000

goldfiish [28.3K]

71614 is the answer, this can be found by simply solving this expression: 72000 - 386

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3 years ago

Read 2 more answers

Out of numbers: 5, 7, 21, 25, 28, 35, 42, 56, 75, and 80, choose those which are not factors of 42

Blizzard [7]

Answer:

5, 25, 28, 35, 56, 75 80 are not the factors of 42

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3 years ago

Read 2 more answers

Please help me i need help i'll help you if you help me ! i will mark you as brill

MatroZZZ [7]

Answer:

See Explanation

Step-by-step explanation:

Required

Write three equivalent ratios

To solve these questions, we do the following:

Whatever is being applied to a part of the ratio must be done on the other part

Solving (9):

$Ratio = \frac{2}{7}$

Multiply through by 2

$Ratio = \frac{2*2}{7*2} = \frac{4}{14}$

Multiply through by 3

$Ratio = \frac{2*3}{7*3} = \frac{6}{21}$

Multiply through by 5

$Ratio = \frac{2*5}{7*5} = \frac{10}{35}$

Hence, the equivalents are: $\frac{4}{14}, \frac{6}{21}, \frac{10}{35}$

Solving (10):

Ratio = 1.5 to 3.5

Multiply by 2

$Ratio = 1.5 * 2\ to\ 3.5 * 2$

$Ratio = 3\ to\ 7$

Multiply by 3

$Ratio = 1.5 * 3\ to\ 3.5 * 3$

$Ratio = 4.5\ to\ 10.5$

Multiply by 4

$Ratio = 1.5 * 4\ to\ 3.5 * 4$

$Ratio = 6\ to\ 14$

Hence, the equivalents are: 3 to 7, 4.5 to 10.5 and 6 to 14

Solving (11):

Ratio = 6.25 to 1.25

Divide by 5

$Ratio = 6.25/5\ to\ 1.25/5$

$Ratio = 1.25\ to\ 0.25$

Multiply by 2

$Ratio = 6.25*2\ to\ 1.25*2$

$Ratio = 12.5\ to\ 2.5$

Multiply by 4

$Ratio = 6.25*4\ to\ 1.25*4$

$Ratio = 25\ to\ 5$

Hence, the equivalents are: 1.25 to 0.25, 12.5 to 2.5 and 25 to 5

Solving (12):

$Ratio = 3 : 3\frac{1}{2}$

Multiply by 2

$Ratio = 3 *2: 3\frac{1}{2}*2$

$Ratio = 6: 7$

Multiply by 4

$Ratio = 3 *4: 3\frac{1}{2}*4$

$Ratio = 12: 14$

Multiply by 6

$Ratio = 3 *6: 3\frac{1}{2}*6$

$Ratio = 18: 21$

Hence, the equivalents are: 6:7, 12:14 and 18:21

Solving (13)

$Ratio = 1\frac{2}{3} : \frac{5}{4}$

Convert mixed fraction to improper fraction

$Ratio = \frac{5}{3} : \frac{5}{4}$

Multiply by 2

$Ratio = \frac{5}{3}*2 : \frac{5}{4}*2$

$Ratio = \frac{10}{3} : \frac{5}{2}$

Multiply by 3

$Ratio = \frac{5}{3}*3 : \frac{5}{4}*3$

$Ratio = 5 : \frac{15}{4}$

Multiply by 12

$Ratio = \frac{5}{3}*12 : \frac{5}{4}*12$

$Ratio = 20 : 15$

Hence, the equivalents are: 10/3:5/2, 5 : 15/4, and 20:15

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3 years ago