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Darina [25.2K]
3 years ago
14

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]

<em>Question:</em>

<em>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?</em>

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)}

<em>From the list of given options (see attachment), option A answers the question</em>

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
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