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Vinvika [58]
3 years ago
8

9. Raul's teacher purchases two rectangular paintings. The dimensions of the first painting are proportional to the

Mathematics
1 answer:
IgorLugansk [536]3 years ago
3 0

Answer:

(c) 9 3/5

Step-by-step explanation:

This is a ratio question. We can work with the dimensions as fractions and solve through cross-multiplication.

Dimensions of the first painting:

8/20 in.

Possible dimensions of the second painting:

24/x in.

x/24 in.

There are two options, because the given 24 inches may be either a length or width of the painting.

Now, we can use cross-multiplication to try to find x in both scenarios.

Scenario #1

8/20=24/x

8x=480

x=60 in.

60 in. is not an answer. Let's try the other scenario.

Scenario #2

8/20=x/24

192=20x

9.6 in.=x

9.6 can also be written as 9 3/5, which is option C.

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What are the x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of
Mrrafil [7]

Answer:

\left ( \frac{3x_2+5x_1}{8},\frac{3y_2+5y_1}{8} \right )

Step-by-step explanation:

Given: P is Three-fifths the length of the line segment from K to J

To find: x- and y-coordinates of point P on the directed line segment from K to J

Solution:

Section formula:

Let point K and J be (x_1,y_1)\,,\,(x_2,y_2) such that the point p(x,y) divides KJ in ratio m:n

Then coordinates of point  P are given by \left ( \frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n} \right )

Take m:n=3:5

So,

coordinates of point P = \left ( \frac{3x_2+5x_1}{3+5},\frac{3y_2+5y_1}{3+5} \right )=\left ( \frac{3x_2+5x_1}{8},\frac{3y_2+5y_1}{8} \right )

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4 years ago
What is the solution to the following inequality? x/-3 ≤ 3 A) x ≥ 6 B) x ≤ -9 C) x ≥ 1 D)x ≥ -9
arsen [322]

Answer:

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4 0
3 years ago
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qaws [65]
You're asking for three consecutive odd numbers, then
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3 years ago
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