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3 years ago

What is the percent decrease from 60 to 39?

2 answers:

7 0

X - the percent decrease

$60-60x=39 \ \ \ |-60 \\
-60x=-21 \ \ \ |\div (-60) \\
x=\frac{-21}{-60} \\ \Downarrow \\ x=\frac{-21}{-60}=\frac{-21 \div (-3)}{-60 \div (-3)}=\frac{7}{20}=\frac{7 \times 5}{20 \times 5}=\frac{35}{100}=35\%$

It's a 35% decrease.

Dmitriy789 [7]3 years ago

6 0

The percent decrease from 60 to 39 is 35%

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NEED HELP ASAP Factor completely Please show steps 2(x^3+5x^2-2x^2y-10xy)

Olegator [25]

Step-by-step explanation:

2(x3+5x2−2x2y−10xy)

=(2)(x3+5x2+−2x2y+−10xy)

=(2)(x3)+(2)(5x2)+(2)(−2x2y)+(2)(−10xy)

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3 years ago

What is 2- 1/4 Write your answer as a fraction Meh will mark you

Arlecino [84]

Answer:

1 3/4

Step-by-step explanation:

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3 years ago

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What is the best estimate for the product of 289 and seven

stira [4]

297 because 289 rounds to 290 plus 7 is 297

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3 years ago

A survey about phone service has a margin of error of 5%. Out of 150 people surveyed, 103 said that they were pleased with their

lapo4ka [179]

Answer:

The range of the number of people that are satisfied is option A. 46,968 to 51,912 customers.

Step-by-step explanation:

Hi, to solve this problem you need to calculate the total number of customers that are pleased with the service, based on the 150 people sample.

so:

(72,000 x 103 )÷150 = 49,440

The next step is to calculate the 5% margin of error of that result.

49,440 x 0.05= 2,472

Finally, to obtain the range you need to add and subtract the margin to the total number of customers that are pleased with the service.

49,440-2,472= 46,968

49,440 + 2,472=51,912

So, the range of the number of people that are satisfied is option A. 46,968 to 51,912 customers.

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3 years ago

The length of a rectangle is (x + 1) cm and its width is 5cm less than its length.

NeX [460]

Answer:

a) the area of a square is in terms of x is

$(x+1)^2$ centimeter square

b)The length of the rectangle is l = (x+1)

l = 7+1 =8 cm

The width of the rectangle is w = [(x+1)-5]

w = (7+1)-5 =3 cm

Step-by-step explanation:

a) the area of a square is in terms of x is

area of square is $l^{2} = (x+1)(x+1)$

= $(x+1)^2$

b) Given length is l = (x+1) cm and

the width is 5 cm less than its length.

so we have take width is w = (x+1)-5 cm

Given area of triangle is 24 cm

Area of rectangle = length X width

24 = (x+1)(x+1 -5 )

now simplification $24 = (x+1)^2 - 5 (x+1)$

apply (a+b)^2 = a^2+2 a b+b^2

$x^2+2 x+1-5 x-5 =24$

$x^2 -3 x -4-24=0$

$x^{2} -3 x -28 =0$

now find factors of 28 = 7 X 4 is

$x^{2} -7 x+4 x-28=0$

$x(x-7)+4(x-7)=0$

$(x+4)(x-7)=0$

x = -4 and x=7

there fore you have to choose x = 7

The length of the rectangle is l = (x+1)

l = 7+1 =8

The width of the rectangle is w = [(x+1)-5]

w = (7+1)-5 = 3

Verification:-

Given area of rectangle = 24 = 8 X 3

24 =24

so we can not choose x=-4

we have to choose x =7 only

7 0

3 years ago