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2 years ago

I need help can you guys answer it the question is which rate describes a unit rate of 8:1???

Mathematics

2 answers:

sweet-ann [11.9K]2 years ago

5 0

The answer is b: 40 miles in 5 hours
solution: simplify both numbers by the gcf
40/5=8
5/5=1
8:1

Nikolay [14]2 years ago

3 0

Answer: B) 40 miles for 5 hours

Divide both values by 5 and we'll simplify that to 8 miles for 1 hour. This is the same as saying 8 miles per hour, or 8 mph.

The ratio 8:1 is read as "8 to 1", meaning the first value is 8 times that of the second value. Note how 40 is 8 times that of 5, ie 40 = 8*5.

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Triangles PQR and RST are similar right triangles. Which proportion can be used to show that the slope of LaTeX: \overline{P

alukav5142 [94]

Question:

Triangles PQR and RST are similar right triangles. Which proportion can be used to show that the slope of PR is equal to the slope of RT?

Answer:

$\frac{3 - 7}{-4 - (-7)} = \frac{-5 - 3}{2 - (-4)}$

Step-by-step explanation:

See attachment for complete question

From the attachment, we have that:

$P = (-7,7)$

$Q = (-7,3)$

$R = (-4,3)$

$S = (-4,5)$

$T = (2,-5)$

First, we need to calculate the slope (m) of PQR

Here, we consider P and R

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where

$P(x_1,y_1) = (-7,7)$

$R(x_2,y_2) = (-4,3)$

$m = \frac{y_2 - y_1}{x_2 - x_1}$ becomes

$m = \frac{3 - 7}{-4 - (-7)}$ --------- (1)

Next, we calculate the slope (m) of RST

Here, we consider R and T

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where

$R(x_1,y_1) = (-4,3)$

$T (x_2,y_2)= (2,-5)$

$m = \frac{y_2 - y_1}{x_2 - x_1}$ becomes

$m = \frac{-5 - 3}{2 - (-4)}$ ---------- (2)

Next, we equate (1) and (2)

$\frac{3 - 7}{-4 - (-7)} = \frac{-5 - 3}{2 - (-4)}$

From the list of given options (see attachment), option A answers the question

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