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3 years ago

One integer is eight less than another integer. The sum of the two integers is fifty. What are the integers?

Mathematics

2 answers:

vladimir2022 [97]3 years ago

7 0

X+x-8=50
2x=58
x=29
x=21
Have a great day :)

gladu [14]3 years ago

6 0

Answer:

x+x-8=50

2x=58

x=29

x=21

Step-by-step explanation:

x+x-8=50

2x=58

x=29

x=21

hope this helps have an amazing day :)

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please help asap A dessert plate has an area of 50.24 square inches. What is the diameter of the dessert plate? Show your work.

yuradex [85]

Answer: 8

Step-by-step explanation:

we know the area of a circle is

A=π r²

50.24= 3.14* r²

50.24/3.14=r^2

16=r^2

r=sqrt 16=4

diameter is 2r=2*4=8

4 0

3 years ago

Suppose ABCD is a rectangle. Find AB and AD if point M is the midpoint of

Dvinal [7]

We know that
Perimeter=2AB+2AD=34 in-----> AB+AD=17-----> AB=17-AD-----> equation 1

MA=MD
MA²=AB²+(AD/2)²
for the triangle AMD
AD²=[MA²+MD²]----> AD²=2*[MA²]----> AD²=2*[AB²+(AD/2)²]---> equation 2

I substitute 1 in 2

AD²=2*[(17-AD)²+(AD/2)²]----> AD²=2*[289-34AD+AD²+0.25AD²]

AD²=578-68AD+2.50AD²--------> 1.50AD²-68AD+578

1.50AD²-68AD+578=0

using a graph tool to solve the quadratic equation

see the attached figure

AD1=11.33 in

AD2=34 in----------is not solution because (AB+AD=17)

Solution is AD=11.33 in

AB=17-11.33--------> 17-11.33-----> AB=5.67 in

the answer is

AD=11.33 in

4 0

3 years ago

lewis has a bucket with a 5 gallon capacity. lewis puts 12 pints of soapy water in the bucket to wash his car. how many gallons

Tasya [4]

12 pints of soapy water.

8 pints = 1 gallon.

1 pint = 1/8 gallon

12 pints = 12*(1/8)

12 pints = (12/8) gallons

= 3/2 = 1.5 gallons.

Since the bucket is 5 gallon capacity, It can hold:

5 - 1.5

= 3.5 gallons more.

But 1 gallon is = 4 quarts.

3.5 gallons = 3.5 * 4 = 14 quarts more.

6 0

3 years ago

Use the given function to find the indicated value(s) of x. (Enter your answers as a comma-separated list.)

Nady [450]

Answer:

For f(x) = √(2·x + 2) - √(x + 18), at f(x) = -1 the possible x-values includes;

-0.757, -17.5

Step-by-step explanation:

Given that the function is f(x) = √(2·x + 2) - √(x + 18)

The value of 'x' when f(x) = -1, is given as follows;

-1 = √(2·x + 2) - √(x + 18)

-1² = (√(2·x + 2) - √(x + 18))² = 3·x + 20 - 2·√(2·x + 2)×√(x + 18)

1 = 3·x + 20 - 2·√(2·x + 2)×√(x + 18)

2·√(2·x + 2)×√(x + 18) = 3·x + 20 - 1 = 3·x + 19

2·x² + 38·x + 36 = (3·x + 19)/2

2·x² + 38·x + 36 - (3·x + 19)/2 = 0

4·x² + 73·x + 53 = 0

From which we get;

x = (-73 ± √(73² - 4 × 4 × 53))/(2 × 4)

x ≈ -0.757, and x ≈ -17.5

6 0

3 years ago

8. What is the sum of the exterior angles of

PolarNik [594]

Answer:

D. 1080°

Step-by-step explanation:

Sum=(n-2)x180°

(8-2)x180°

6x180°

1080°

Hope it helps ❤

6 0

3 years ago

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