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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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Step-by-step explanation

8 0
3 years ago
The pharmacist uses 67mg, 100g and 0.6 kg of drug to compound 3 separate precription. how much total drug did the pharmacist use
FromTheMoon [43]

Answer: 700.067 g

Step-by-step explanation:

Given : The pharmacist uses 67mg, 100g and 0.6 kg of drug to compound 3 separate prescription.

We know that 1 gram= 1000 milligram

and 1 kilogram = 1000 grams

Then, By UNITARY METHOD, \text{1 mg}=\dfrac{1}{1000}\text{ gram}

Now, We convert each amount of drug into grams as ,

67\ mg=67\times\dfrac{1}{1000}\ g\\\\=0.067\text{ g}

AND

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Now, the total drug used by Pharmacist (in grams) = 0.067+100+600=700.067\ g

Hence, Pharmacist used 700.067 g of total drug.

8 0
3 years ago
A building is 70 feet tall. A blueprint of the building represents that length as 7 inches. What is the scale of the blueprint ​
matrenka [14]

Answer:

The scale of the blueprint is 10x smaller

Step-by-step explanation:

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8 0
3 years ago
Simplify the ratio 4.5: 3 1/2 in its simplest form
Law Incorporation [45]

Answer:

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Step-by-step explanation:

Given

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5 0
3 years ago
6^5 divided by 6^3 <br> I know the answer is 36 but I am not sure how to show my work
mars1129 [50]
First of all you need to do it step by step.
how did you find 36.
6^5 = 7776  its like you multiply 6 by 6, 5 times it would give you that number
6^3 = 216      you multiply 6 by 6, 3 times it would give you that number.
and then you divided  7776 by 216  it should give you 36.
VOILA!!!!!   I hope you understand that. 
good luck!!!
4 0
3 years ago
Read 2 more answers
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