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vlada-n [284]
3 years ago
6

If PR=40, what are PQ and RQ

Mathematics
2 answers:
AleksAgata [21]3 years ago
7 0

PR = PQ + QR = 40

Substitute PR and QR into the equation above

40 = 5x - 2 + x + 12

Combine like terms

40 = 6x + 10

Subtract 10 from both sides

30 = 6x

Divide both sides by 6

5 = x

PQ = 5x - 2= 5(5) - 2 = 23

Remember, PR = PQ + QR

40 = 23 + QR

Subtract 23 from both sides.

17 = QR

PQ = 23

ASHA 777 [7]3 years ago
5 0

Answer:

PQ = 23, QR = 17

Step-by-step explanation:

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What is the slope of y=x+5
Ghella [55]

Answer:

m = 1

Step-by-step explanation:

1x is the slope without the 'x', it's 1.

6 0
2 years ago
A chain weighs 8 pounds per foot. How many ounces will 5 inches weigh? Round your answer to the nearest tenth as needed.
Butoxors [25]

Given that a chain weighs 8 pounds per foot.

We to find the weight in ounces per 5 inches.

It is known that 1 foot is equal to 12 inches and 1 pound is equal to 16 ounces.

Given that the weight is 8 pounds per foot.

\begin{gathered} 8\text{pounds per foot}=8\text{ pounds per 12 inches} \\ =16\times8\text{ ounces per 12 inches} \\ =128\text{ ounces per 12 inches} \\ =10.6\text{ ounces per inch} \\ =10.6\times5\text{ ounces per 5 inches} \\ =53\text{ ounces per 5 inches} \end{gathered}

Thus, the answer is 53 ounces in 5 inches.

7 0
1 year ago
Suppose the scores on a test given to all juniors in a school district are normally distributed with a mean of 74 and a standard
ivann1987 [24]

Answer:

\mu -\sigma = 66 , \mu +\sigma = 82

\mu -2\sigma = 58 , \mu +2\sigma = 90

\mu -3\sigma = 50 , \mu +3\sigma = 98

And in the figure attached we see the limits with the percentages associated.

Step-by-step explanation:

For this case we know that the random variable of interest is the scores on a test given to all juniors in a school district follows a normal distribution with the following parameters:

X \sim N(\mu= 74, \sigma =8)

For this case we know from the empirical rule that within one deviation from the mean we have approximately 68.2% of the data, within 2 deviations from the mean we have 95% and within 3 deviation 99.7%

We can find the limits and we got:

\mu -\sigma = 66 , \mu +\sigma = 82

\mu -2\sigma = 58 , \mu +2\sigma = 90

\mu -3\sigma = 50 , \mu +3\sigma = 98

And in the figure attached we see the limits with the percentages associated.

7 0
3 years ago
Peyton is a sprinter who can run the 40-yard dash in 4.5 seconds. he converts his speed into miles per hour, as shown below.
oksano4ka [1.4K]
The correct question is
<span>Peyton is a sprinter who can run the 40-yard dash in 4.5 seconds. He converts his speed into miles per hour, as shown below
</span>Which ratio is incorrectly written to convert his speed? 

the picture in the attached figure

we know that
The term (5280 ft/1 mi)  is incorrect
"Feet"<span> needs to be on the bottom to cancel with the previous term. 
</span>"Mile"<span> needs to be on top in the numerator so that the answer can be expressed in "miles per hour"
</span>
the correct term is (1 mi/5280 ft)

5 0
3 years ago
How do you do this....
Angelina_Jolie [31]

Answer:

Answer is "No real Solution"

4 0
3 years ago
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