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Misha Larkins [42]
3 years ago
12

Find the value of PR if Q is between P and R when PQ=25, PQ=2x+1, and QR=x. X ат X=8

Mathematics
1 answer:
Eva8 [605]3 years ago
7 0

Answer:

PR = 37

Step-by-step explanation:

Given

PQ = 25

PQ = 2x +1

QR = x

Required

PQ

Since Q is between the given points, then:

PR = PQ + QR

This gives:

PR = 2x + 1 + x

Collect like terms

PR = 2x + x+ 1

PR = 3x + 1

Next, solve for x

We have:

PQ = 25

PQ = 2x +1

This gives:

2x + 1 = 25

Collect like terms

2x = 25 -1

2x = 24

Divide by 2

x = 12

So:

PR = 3x + 1

PR = 3 * 12 + 1

PR = 37

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shepuryov [24]

Answer:

14

Step-by-step explanation:

7 0
3 years ago
a. Fill in the midpoint of each class in the column provided. b. Enter the midpoints in L1 and the frequencies in L2, and use 1-
Tresset [83]

Answer:

\begin{array}{ccc}{Midpoint} & {Class} & {Frequency} & {64} & {63-65} & {1}  & {67} & {66-68} & {11} & {70} & {69-71} & {8} &{73} & {72-74} & {7}  & {76} & {75-77} & {3} & {79} & {78-80} & {1}\ \end{array}

Using the frequency distribution, I found the mean height to be 70.2903 with a standard deviation of 3.5795

Step-by-step explanation:

Given

See attachment for class

Solving (a): Fill the midpoint of each class.

Midpoint (M) is calculated as:

M = \frac{1}{2}(Lower + Upper)

Where

Lower \to Lower class interval

Upper \to Upper class interval

So, we have:

Class 63-65:

M = \frac{1}{2}(63 + 65) = 64

Class 66 - 68:

M = \frac{1}{2}(66 + 68) = 67

When the computation is completed, the frequency distribution will be:

\begin{array}{ccc}{Midpoint} & {Class} & {Frequency} & {64} & {63-65} & {1}  & {67} & {66-68} & {11} & {70} & {69-71} & {8} &{73} & {72-74} & {7}  & {76} & {75-77} & {3} & {79} & {78-80} & {1}\ \end{array}

Solving (b): Mean and standard deviation using 1-VarStats

Using 1-VarStats, the solution is:

\bar x = 70.2903

\sigma = 3.5795

<em>See attachment for result of 1-VarStats</em>

8 0
3 years ago
how many ounces of pure water must be added to 50 ounces of a 15% saline solution to make a saline solution that is 10% salt
anygoal [31]

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Let x be the amount of pure water you add to this solution. Then you end up with (x + 50) ounces of this new solution. The amount of salt stays the same.

You want the new solution to have a concentration of 10%. This means you need

7.5 / (x + 50) = 0.1

==>  7.5 = 0.1(x + 50)

==>  7.5 = 0.1x + 5

==>  2.5 = 0.1x

==>  2.5/0.1 = 0.1x/0.1

==>  x = 25

7 0
4 years ago
A line passes through the point (-8, 6) and has a slope of 3/2
Vladimir79 [104]

Answer:

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Step-by-step explanation:

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so enter the points (-8, 6)

y-6= 3/2(x-(-8))

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3 0
3 years ago
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HELP ME!!! solve for x
liq [111]

Answer:

x = 13.5 units

Step-by-step explanation:

Segment drawn to join the two sides of the triangle is parallel to third side of the triangle.

Therefore, by basic proportionality theorem:

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3 0
3 years ago
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