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masha68 [24]
3 years ago
10

The quotient of a number and four decreased by 10 is two. What is the number?

Mathematics
1 answer:
malfutka [58]3 years ago
7 0
Equation: n/4-10=2
                       +10    +10
                   n/4=12
                           n=48
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How to Answer this i dont know please like it was not in the book im so confused
Marina CMI [18]

The solution to the system of inequalities given is: \frac{4}{3} \leq y \leq 4

<h3>What is the solutions to a system of inequalities?</h3>

The solution is the set of values that respect all conditions of the system.

The first condition is:

3y - 13 \geq -9

3y \geq 4

y \geq \frac{4}{3}

The second condition is:

3y - 13 \leq -1

3y \leq 12

y \leq \frac{12}{3}

y \leq 4

The intersection of the conditions, which is the solution to the inequality, is:

\frac{4}{3} \leq y \leq 4

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5 0
1 year ago
What is the result of a dilation of scale factor 3 centered at the origin of the line 2y + 3x=10?? PLEASE HELP PLEASEEEEEEEEE
maks197457 [2]

Given:

The equation of a line is:

2y+3x=10

The line is dilated by factor 3.

To find:

The result of dilation.

Solution:

The equation of a line is:

2y+3x=10

For x=0,

2y+3(0)=10

2y+0=10

y=\dfrac{10}{2}

y=5

For x=2,

2y+3(2)=10

2y+6=10

2y=10-6

2y=4

Divide both sides by 2.

y=\dfrac{4}{2}

y=2

The given line passes through the two points A(0,5) and B(2,2).

If the line dilated by factor 3 with origin as center of dilation, then

(x,y)\to (3x,3y)

Using this rule, we get

A(0,5)\to A'(3(0),3(5))

A(0,5)\to A'(0,15)

Similarly,

B(2,2)\to B'(3(2),3(2))

B(2,2)\to B'(6,6)

The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

y-15=\dfrac{6-15}{6-0}(x-0)

y-15=\dfrac{-9}{6}(x)

y-15=\dfrac{-3}{2}x

Multiply both sides by 2.

2(y-15)=-3x

2y-30=-3x

2y+3x=30

Therefore, the equation of the line after the dilation is 2y+3x=30.

3 0
3 years ago
1/2x + 1/3x = 10<br><br> Thank you
yuradex [85]

Answer:

x=12

Step-by-step explanation:

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B=3 1/2
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A=(3 1/2)(2 2/3)
A=28/3
A=9.3333
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