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stellarik [79]
2 years ago
8

Point Q is on line segment PR . Given PQ=16 and PR=19, determine the length of QR

Mathematics
1 answer:
Nikitich [7]2 years ago
7 0

Answer:

QR = 3

Step-by-step explanation:

given that Q is on the segment PR , then

PQ + QR = PR ( substitute values )

16 + QR = 19 ( subtract 16 from both sides )

QR = 3

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A group of adults and students went on a class trip to Washington, DC. The number of male students was 1 more than 7 times the n
liberstina [14]
Given:
adults = x
male = 7x + 1
female = (7x + 1)/2
total number of people = 82

x + (7x + 1) + [(7x +1)/2] = 82
2x/2 + (14x + 2)/2 + (7x + 1)/2 = 82
2x + 14x + 2 + 7x + 1 = 82 * 2
23x + 3 = 164
23x = 164 - 3
23x = 161
x = 161/23
x = 7

adults = x = 7
males = 7x + 1 = 7(7) + 1 = 49 + 1 = 50
females = (7x+1)/2 = 50/2 = 25

7 + 50 + 25 = 82

6 0
4 years ago
The number of quarters required to play an arcade game varies directly with the number of levels played. The game requires 9 qua
dexar [7]

Answer:

45 quarters

Step-by-step explanation:

1. Think of this as the ration equation 9/3=x/15 where x is the number of quarters to play 15 levels

2. To solve the ratio, you need to cross multiply, and then divide

3. Multiply 9 times 15 (135)

4. Divide that number by 3 (45), and that's your answer!

5 0
3 years ago
The area of a triangle is 14 square units it has a side length of a and b what is the value of b if a is 1/5
Ilia_Sergeevich [38]

Answer:

140 ft

Step-by-step explanation:

Given data

Area= 14 square feet

Height a = 1/5 ft

Base b=????

We know that the area of a triangle is given as

Area= (1/2)B*H

substitute

14= 1/2* B* 1/5

14= B/10

cross multiply

B= 140

 

Hence the base is 140 ft

7 0
3 years ago
What is the square root of -105 rounded to the nearest integer
Mila [183]
This is an imaginary number = sqrt105 * i  =  10i  ro nearest integer
3 0
3 years ago
2 a square root of 2 b square root 3 parentheses for a square root 2 + 380 square root 2 - 80 parentheses equal
velikii [3]

2√2

= 2√2

B)

√3(√2+380√2-80)

= -80√3+381√6


I hope that's help and sorry for the late answer !

5 0
3 years ago
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