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alexandr1967 [171]
3 years ago
15

Solve the equation. Then check your solution. n/54=4/9

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
4 0

Answer:

n = 24

Step-by-step explanation:

Write the equation as a fraction form.

<h2>\frac{n}{54} = \frac{4}{9}</h2>

From 54 to 9 is 54 divided by 6.

n would equal to 6 x 4

So, n is 24.

Check your answer by doing:

\frac{24}{54} = \frac{4}{9}

24 divided by 6 = 4

54 divided by 6 = 9

You can also simplify \frac{24}{54} until you can't reduce the fraction.

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19)
Elena-2011 [213]

Answer:

The correct answer is: Option D) 5

Step-by-step explanation:

Given equation is:

3(x + 2) + x = 2x + 16

In order to find that which values of x makes the equation true, we have to put each value of x in the equation. When both sides of equations will be equal, that value of x will be true for the equation.

Putting x = 2

3(2 + 2) + 2 = 2(2) + 16\\3(4)+2 = 4+16\\12+2 = 20\\14 \neq 20

Putting x = 3

3(3 + 2) + 3 = 2(3) + 16\\3(5)+3 = 6+16\\17+3 = 22\\20 \neq 22

Putting x=4

3(4+2)+4 = 2(4)+16\\3(6)+4 = 8+16\\18+4 = 24\\22 \neq 24

Putting x = 5

3(5+2)+5 = 2(5)+16\\3(7)+5 = 10+16\\21+5 = 26\\26 = 26

The equation is true for x = 5

Hence,

The correct answer is: Option D) 5

6 0
2 years ago
For all positive integers n, let *n* equal the greatest prime number that is a divisor of n. What does *10*/*12* equal?
artcher [175]

9514 1404 393

Answer:

  5/3

Step-by-step explanation:

The prime factorizations are ...

  10 = 2·5

  12 = 2·2·3

Then *10* = 5 and *12* = 3, so *10*/*12* = 5/3.

4 0
2 years ago
Pleaseeeeee help I’m so confused
SSSSS [86.1K]

Answer:

4747

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
1. a motor car race is 500 miles long and consists of completing laps of a circular speedway
Zarrin [17]

The function y = 2.5x + 500 represents the total number of miles if the motor car race is 500 miles long, option (d) is correct.

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

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

y represents the number of miles a motor car has left to go in the race

x represents the number of laps completed by the motor car

The total number of miles if we consider only circular speedways = 2.5x

The total number of miles:

y = 2.5x + 500  (because 500 is the constant)

Thus, the function y = 2.5x + 500 represents the total number of miles if the motor car race is 500 miles long option (d) is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

7 0
1 year ago
I NEED HELP ASAP!!!!!!!!
andreev551 [17]

Step-by-step explanation:

slope =  \frac{rise}{run}  =  \frac{y2 - y1}{x2 - x1}  \\  =  \frac{ - 7 - 13}{5 - ( - 3)}  \\  =  \frac{ - 20}{8}  \\ =   \frac{ - 2 \times 10}{2 \times 4}  \\  =  \frac{ - 10}{4}  \\  =  \frac{ - 2 \times 5}{ 2  \times 2} =  \frac{5}{2}

7 0
2 years ago
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