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Ostrovityanka [42]
3 years ago
5

Suppose PR = 54, solve for QR 4x-1 3x-1 P R

Mathematics
1 answer:
Svet_ta [14]3 years ago
5 0

Answer:

QR = 23

Step-by-step explanation:

P, A, and R are collinear.

PR = 54

PQ = 4x - 1

QR = 3x - 1

To solve for the numerical length of PR, let's generate an equation to find the value of x.

According to the segment addition postulate:

PQ + QR = PR

(4x - 1) + (3x - 1) = 54 (substitution)

Solve for x

4x - 1 + 3x - 1 = 54

Combine like terms

4x + 3x - 1 - 1 = 54

7x - 2 = 54

Add 2 to both sides

7x - 2 + 2 = 54 + 2

7x = 56

Divide both sides by 7

\frac{7x}{7} = \frac{56}{7}

x = 8

QR = 3x - 1

Plug in the value of x into the equation

QR = 3(8) - 1 = 24 - 1

QR = 23

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There are slips of paper that are numbered from 1 to 15 in a hat. What is the theoretical probability that a slip of paper that
lesya [120]

Okay! Let's write out all the numbers:

1

2

3

4

5

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7

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9

10

11

12

13

14

15

Now, let's bold (or you can circle them... or do really anything to them as long as they are standing out to you) the even numbers (remember all even numbers are divisible by 2)

1

2

3

4

5

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9

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13

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15

Now let's list all the ones we highlighted:

2

4

6

8

10

12

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Count up how many numbers that is.

You should get 7.

So, our answer is 7 out of 15 numbers.

Or as a fraction:

7/15 is our answer.

Note: A probability is the number of chances something has to happen out of the total number of chances. So in this case the number of even numbers out of the total number of numbers. You can apply this to any probability problem. Hope this helps!

Read more on Brainly.com - brainly.com/question/2150566#readmore

5 0
3 years ago
Read 2 more answers
Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hu
dolphi86 [110]

Answer:

The monthly cost for 9 HCF is $38.54

Step-by-step explanation:

<em>The graph is missing; however, the question can still be solved</em>

Given

Slope = 1.55

When monthly cost = $47.84, Amount of water = 15 HCF

Required

Determine the monthly cost for 9 HCF

From the question, we understand that it is a linear function;

Linear functions are of the form

y = mx + b

Where y is the function of x and m is the slope

In this case; the function is the monthly water bill

and x is the amount of water

Solving for b

When monthly cost = $47.84, Amount of water = 15 HCF

The function is as follows;

47.84 = 1.55 * 15 + b

47.84 = 23.25 + b

Subtract 23.25 from both sides

47.84 - 23.25= 23.25 - 23.25 + b

24.59 = b

b = 24.59

Solving for the monthly cost for 9 HCF

Here, we have that

x = Amount\ of\ water = 9

m = Slope = 1.55

b = 24.59

Substitute these values in the linear function; y = mx + b

y = 1.55 * 9 + 24.59

y = 13.95 + 24.59

y = 38.54

<em>Hence, the monthly cost for 9 HCF is $38.54</em>

5 0
3 years ago
I need help on this
german

Answer:

No they or not

Step-by-step explanation:

The first on is 60 and the second one is 40

7 0
3 years ago
Explain how you can use a quick picture to find 3 x 2.7
Nat2105 [25]
3 x 2.7 is the same as 3 x 3 x 0.9 = 9 x 0.9 = 8.1
8 0
3 years ago
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What is 5/4= x/12 solve for proportion?
Diano4ka-milaya [45]
\frac{5}{4}=\frac{x}{12}\ \ \ \ \ |cross\ multiply\\\\4\cdot x=5\cdot12\\\\4x=60\ \ \ \ \ |divide\ both\ sides\ by\ 4\\\\\boxed{x=15}
5 0
3 years ago
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