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Kamila [148]
4 years ago
8

Five times the sum of a number and 13 is 20. Find the number

Mathematics
2 answers:
Grace [21]4 years ago
3 0

Answer:

x = -9

Step-by-step explanation:

Step 1: Write out expression

5(x + 13) = 20

Step 2: Distribute

5x + 65 = 20

Step 3: Isolate <em>x</em>

5x = -45

x = -9

And we have our answer!

Ket [755]4 years ago
3 0

Answer:

-9

Step-by-step explanation:

Let the number be x.

5(x+13) = 20

Expand.

5x+65 = 20

Subtract 26 on both sides.

5x = 20 - 65

5x = -45

Divide 5 into both sides.

x = -45/5

x = -9

The number is -9.

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Which of the following points represents the center of a circle whose equation is (X - 5)2 + (y-4)2 = 25?
Ivan

The correct answer is option D. The coordinates of the centre for the given equation of a circle is (5,4).

The complete question is as below:-

Which of the following points represents the centre of a circle whose

equation is (X - 5)2 + (y-4)2 = 25?

A. (-5,-4)

B. (5,-4)

C. (-5,4)

D. (5,4)

<h3>What is a circle?</h3>

The circle is defined as the locus of the point traces around a fixed point called the centre and is equidistant from the out trace.

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r the radius

(x - 5)² + (y - 4)² = 25 ← is in standard form

We can see that the centre of the circle is (5,4) by comparing the equation with the standard form.

Therefore the correct answer is option D. The coordinates of the centre for the given equation of a circle is (5,4).

Learn more about Circle here:

brainly.com/question/12908707

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2 years ago
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Step-by-step explanation:

7 0
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A car averages 28.5 miles per gallon of gasoline. How many liters of gasoline will be needed for a trip of 415 km? Some conversi
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Answer:

34.22 liters

Step-by-step explanation:

Step one:

Given data

A car averages 28.5 miles per gallon of gasoline

How many liters of gasoline will be needed for a trip of 415 km

let us convert 415km to miles first

1 km is 0.621371 miles

415km is x miles

cross multiply we have

x= 415*0.621371

x=257.86 miles

Step two:

if 1 gallon of gasoline will cover 28.5 miles

the x gallons will cover 257.86 miles

cross multiply we have

28.5x= 257.86

divide both sides by 28.5

x= 257.86/28.5

x=9.04 gallons

Step three:

let us convert gallons to liters

1 gallon is 3.78541 liters

9.04 gallons will be x liters

cross multiply we have

x=9.04*3.78541

x= 34.22 liters

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3 years ago
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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