MATHEMATICS HIGH SCHOOL

Find y when x=21/2, if y varies inversely as x and x=5 when y=3A. 2.5/3=3/4;6
B. 2.5/3=3/4;3
C. 2.5/3=5/3;6
D. 2.5/3=5/4;3

Answers

Answer 1
Answer: y varies inversely as x:
y=C/x
C: Constant

Cross multiplication
yx=C

x=5 when y=3
Replacing in the equation above:
(3)(5)=C

when x=2 1/2=2+0.5→x=2.5, y=?
xy=C
(2.5)(y)=C

Equaling the two equations:
C=C
(2.5)(y)=(3)(5)
2.5/3=5/y

Solving for y. Dividing both sides of the equation by 2.5:
(2.5)(y)/(2.5)=(3)(5)/(2.5)
y=6

Answer:
2.5/3=5/6

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Work the following pricing problems for services rendered. (Round to tenths.)Labor rate = $8.00 per hour
Labor time = 6 hours
Retail price of parts = $0
Total job cost = $86.00
Overhead rate?

Answers

Answer:

Overhead rate = $6.3

Step-by-step explanation:

Given : Labor rate = $8.00 per hour


Labor time = 6 hours


Retail price of parts = $0


Total job cost = $86.00

To find : Overhead rate

Solution:

Overhead cost =  Total Cost - The cost of all inputs

The Overhead Rate is this number divided by total labor hours.

Total job cost = $86.00

Labor Cost = labor rate × labor time = 8 × 6 = $48

Retail price of parts:$0

Overhead Costs = total cost - labor cost= $86 - $48 = $38

Now, we divided overhead cost by labor hours to get overhead rate,

Overhead Rate =(38)/(6)=6.33

Therefore, Overhead rate is $6.3

Answer:

55.8

Step-by-step explanation:

8x6= 48

48/86 into percent= 55.814%

therefore it would be rounded to 55.8

Tasha is measuring the charge c(t) in a battery that has been charged for t minutes. Which of the following is the most appropriate domain for c(t)?A.Positive integers only
B.All real numbers
C.All positive numbers
D.All integers

Answers

c(t)

In a function the domain is all the values of t while the range is all the values of c(t).

Since t represents time in minutes, most appropriate domain for c(t) is A. Positive integers only.

Positive integers are numbers that starts with 1 and so on...

Pls give an explanation

Answers

Answer:

B

Step-by-step explanation:

given a pair of parallel lines , then

3x - 10 and x + 40 are corresponding angles and are congruent ( equal ), then

3x - 10 = x + 40 ( subtract x from both sides )

2x - 10 = 40 ( add 10 to both sides )

2x = 50 ( divide both sides by 2 )

x = 25

there are three source of resistance in parallel circuit. Two of them are rated at 20 ohms, the other at 10 ohms. What is the circuits total resistance

Answers

in paraller connection you can calculate the equivlant resistqnce from the relation :
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a. 644
b. 690
c. 15,341
d. 29

Answers

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  the answer is b. 690

a crew is made up of 8 men; the rest are women. 66 2/3% of the crew are men. how many people are in the crew?

Answers

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