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3 years ago

The product of nine and a number is added to 6, the result is 24. what is the number

Mathematics

2 answers:

Step2247 [10]3 years ago

8 0

So in numbers : 9n + 6 = 24
or 9n = 24 - 6
or 9n = 18
or n = 18/9
so n = 2

Rom4ik [11]3 years ago

4 0

24 - 6 - 9 = 9 , ta da

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3 years ago

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3 years ago

If Pentagon ABCDE was dilated to create Pentagon A'B'C'DE', what rule was used?

svetlana [45]

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B $(x,y) \rightarrow \left(\frac{5}{2}x,\frac{5}{2}y\right)$

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Dilations

Given a point A(x,y) and a scale factor k the dilated image of A, called A' is calculated as A'=(kx,ky), assuming the same scale factor is applied in both axes.

The pentagon ABCDE was dilated to create pentagon A'B'C'D'E'. To find the dilaton rule used, we must find two clear points where the coordinates of both axes can be easily read from the graph.

Point C(-2,0) maps to C'(-5,0). This gives us the scale factor for the x-axis of -5/(-2)= 5/2.

The y-coordinate of E is 2 and the y-coordinate of E' is 5. This gives us the same scale factor for the y-axis of 5/2.

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B $\mathbf{(x,y) \rightarrow \left(\frac{5}{2}x,\frac{5}{2}y\right)}$

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3 years ago

1.) Vivian combined different amounts of white paint, blue paint, and green paint to make 145 milliliters (ml) of paint of a new

Ivahew [28]

So here are the answers to the given questions above:
1. Since the equation is already given, what we are going to do is to solve for x first.
x + (2x – 10) + 1/2 (2x – 10) = 145
x + (2x -10) + x - 5 = 145
x + 2x + x - 10 - 5 = 145
4x = 145 +10 + 5
4x = 160 <<divide both sides by 4 and we get
x = 40.
Therefore, the amount of white paint is 40ml.
The amount of blue paint is 70ml and the green paint is 35ml.
So the difference between the amounts of white paint and blue paint Vivian combined is 30ml.
2. The equation of the line that passes through the points (-2, 1) and (1, 10) would be: 3x - y = -7, the last option. In order to check, just plug in the given ordered pairs.

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2 years ago