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NemiM [27]
3 years ago
8

Find the value of n in each of the following proportions.

Mathematics
1 answer:
Setler79 [48]3 years ago
7 0

Answer:

24

Step-by-step explanation:

18/n = 21/28                    You can cancel, but calculators make that unnecessary.   Cross multiply

21n = 18 * 28

21n = 504                         Divide by 21

n = 504 / 21

n = 24

==================

12/16 = n / 64                    Cross Multiply

16n = 12 * 64

16n = 768                         Divide by 16

n = 768/16

n = 48

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An equation is shown below. 12 – 6(w – 3) = 3(– 5 – 3w) + 21 Enter the solution of w for this equation.
gogolik [260]
<span>Simplifying
12 + -6(w + -3) = 3(-5 + -3w) + 21

Reorder the terms:
12 + -6(-3 + w) = 3(-5 + -3w) + 21
12 + (-3 * -6 + w * -6) = 3(-5 + -3w) + 21
12 + (18 + -6w) = 3(-5 + -3w) + 21

Combine like terms: 12 + 18 = 30
30 + -6w = 3(-5 + -3w) + 21
30 + -6w = (-5 * 3 + -3w * 3) + 21
30 + -6w = (-15 + -9w) + 21

Reorder the terms:
30 + -6w = -15 + 21 + -9w

Combine like terms: -15 + 21 = 6
30 + -6w = 6 + -9w

Solving
30 + -6w = 6 + -9w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '9w' to each side of the equation.
30 + -6w + 9w = 6 + -9w + 9w

Combine like terms: -6w + 9w = 3w
30 + 3w = 6 + -9w + 9w

Combine like terms: -9w + 9w = 0
30 + 3w = 6 + 0
30 + 3w = 6

Add '-30' to each side of the equation.
30 + -30 + 3w = 6 + -30

Combine like terms: 30 + -30 = 0
0 + 3w = 6 + -30
3w = 6 + -30

Combine like terms: 6 + -30 = -24
3w = -24

Divide each side by '3'.
w = -8

Simplifying
w = -8</span>
5 0
3 years ago
On a car trip , the number of miles driven , m , is proportional to the number of gallons of gas used , g , as shown in the tabl
FrozenT [24]

Answer:

  m = 32g

Step-by-step explanation:

The proportion between m and g can be written ...

  m = kg

where k is the constant of proportionality.

__

We can find its value by dividing by g:

  k = m/g

Using any pair of corresponding values from the table, we find ...

  k = 64/2 = 32

The relationship between m and g can be expressed by the equation ...

  m = 32g

3 0
2 years ago
Find the equation of the line that goes through the point (0, 4) and is parallel to the line y=3x
den301095 [7]

\huge\boxed{\sf{Hi\;there!}}

Parallel lines have the same slope.

The given line has a slope of 3, therefore, the line parallel to the given line has a slope of 3.

Now, we have the slope of the line and a point that it passes through.

So, we can use the Point-Slope formula:

\bigstar \sf{y-y1=m(x-x1

\bigstar \sf{y-4=3(x-0)

\bigstar \sf {y-4=3x

\bigstar \sf {y=3x+4

\huge\boxed{\boxed{Answer:\;y=3x+4}}}

\huge\bold{Hope\;it\;helps\;you.\;Good\;luck\;and\;have\;a\;nice\:day.}

\boxed{AmiableTeen:)}

7 0
2 years ago
A circle has its center at (−1, 2) and a radius of 3 units. Find the equation of the circle using the Pythagorean Theorem. PLEAS
notka56 [123]
Pythagorean Theorem is for triangles not circles. 

The equation of a circle is (x - h)² + (y - k)² = radius² where (h, k) is the center.

Plug in your given information and simplify.

(x - (- 1))² + (y - 2)² = (3)²

(x + 1)² + (y - 2)² = 9 is your equation. 
6 0
3 years ago
Read 2 more answers
Consider the following absolute value equation. |5x-4| &gt; 16. Which of the following are the solutions to the equation? Select
Fudgin [204]
Plug each of the numbers into "X". -5*5= -25 -4= -29<16 the correct answer is 6. 5
6 0
3 years ago
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