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3 years ago

Write a ratio as a fraction

Mathematics

1 answer:

iren2701 [21]3 years ago

6 0

Answer:

6 : 8

Step-by-step explanation:

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If p=3(2q+r), express q in terms of p and r.

Kruka [31]

Answer:

$q=\frac{1}{6}p- \frac{1}{2}r$

Step-by-step explanation:

$p=3(2q+r)$

$2q+r=\frac{p}{3}$

$2q=\frac{p}{3} -r$

$q=\frac{p}{6}- \frac{r}{2}$

6 0

3 years ago

The life of a certain brand of battery is normally distributed, with mean 128 hours and standard deviation 16 hours. What is the

Katyanochek1 [597]

Answer:

x = 100 is equivalent to z = -1.75

Step-by-step explanation:

7 0

3 years ago

Solve the following system of equations using Substitution: Submit your answer as an ordered pair. 2x−3y=32x-3y=32x−3y=3 x=y+2x=

exis [7]

9514 1404 393

Answer:

(3, 1)

Step-by-step explanation:

We assume you want the solution to the system ...

2x−3y=3
x=y+2

The second equation gives a nice expression for x, so we can use that in the first equation.

2(y+2) -3y = 3 . . . . substitute for x in the first equation

2y +4 -3y = 3 . . . . . eliminate parentheses

-y = -1 . . . . . . . . . . . collect terms, subtract 4

y = 1 . . . . . . . . . . . . multiply by -1

x = 1 +2 = 3 . . . . . . substitute for y in the second equation

The solution is (x, y) = (3, 1).

4 0

3 years ago

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

4 0

2 years ago

Two brothers, Gethin and David, share a sum of money in the ratio 2:7.

Vitek1552 [10]

12£ and 42£

Step-by-step explanation:

gethin gets 2/9

David gets 7/9

total money is equal to 54

Gethin gets 54x 2/9=12

David gets 54x7/9=42

4 0

3 years ago