MATHEMATICS HIGH SCHOOL

A worker at a computer factory can assemble 8 computers per hour. How long would it take this worker to assemble 200 computers?

A.
8 h

B.
20 h

C.
25 h

D.
200 h

Answers

Answer 1
Answer: This worker would take 200/8=25 hours, since he makes eight computers an hour and needs to spend enough time to make 200 computers. C is the correct answer.
Answer 2
Answer:

the right answer for K12 is C. 25 h

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A student is trying to solve the set of two equations given below:Equation A: x + z = 6


Equation B: 3x + 2z = 1

Which of the following is a possible step used in eliminating the z-term

Answers

If you would like to eliminate the z-term, you can do this using the following steps:

x + z = 6       /*(-2)
3x + 2z = 1
_____________
-2x -2z = -12
3x + 2z = 1
_____________
-2x + 3x = -12 + 1
x = -11

The correct result would be x + z = 6       /*(-2).

Answer:

Multiply equation A by -2

Step-by-step explanation:

I took the test!

20. The temperature of a pot of water is 62*F. The temperature increasesby 20*F per minute when being heated. Write an equation to represent

the linear relationship. *

Answers

Given :

The temperature of a pot of water is 62 F .

The temperature increases  by 20 F per minute when being heated .

To Find :

Write an equation to represent  the linear relationship.

Solution :

Here , the temperature is increasing directly with the time .

Therefore , it is a linear equation .

Let temperature varies with as :

T = at+b   .... equation 1 .

( Here , a and b are constants )

Now , at t= 0 min .

T = 62 =a* 0 + b

b=62    

Now , after 1 min temperature will be , T = 62 +20 =82 F

T = 82 = a* 1+62\na=20

Putting value of a ans b in equation 1 , we get :

T=20t+62\ F

Hence , this is the required relation .

The equation D=13/v shows that the density of a particular substance equals a mass of 13 grams divided by the volume of the substance. What happens to the density as the volume approaches 0?The density approaches infinity.
The density approaches 0.
The density approaches 1.
The density approaches 13.

Answers

For this case we have the following equation:
 D = (13)/(v)
 Where,
 D: the density of a particular substance 
 v:  the volume of the substance
 When replacing v = 0 in the given equation we have:
 D = (13)/(0)
 D = \infty
 This means that as the function acquires values very close to zero, the density acquires a very large value.
 Answer:
 as the volume approaches 0:
 The density approaches infinity.
 option 1
As the volume approaches 0,
The density approaches infinity

The graph of the equation is a hyperbola with the asymptote at v = 0. This means that when the value of v is very close to 0, the value of the density is very large.

A concert charges $24.50 per daily adult ticket and $13.75 per child’s ticket. A group of 90 people paid $1560.00 for tickets. Write a system of equations that could be used to find x, the number of adult tickets purchased, and y, the number of children's tickets purchased?I know the answer i just need to know how to solve it. Thanks :)

Answers

x=adults
y=childern

x+y=90
24.50x+13.75y=1560

so
mutliply the first equation by -13.75 and add to second equaiton

-13.75x-13.75y=-1237.5
24.50x+13.75y=1560 +
10.75x+0y=323

10.75x=322.5
divide both sides by 10.75
x=30

x=30
sub back

x+y=90
30+y=90
minus 30 both sides
y=60


x=30
y=60
30 adults
60 kids

A hat costs $25. Tax is 8%. How much is the tax on the hat?

Answers

I'm pretty sure 8% tax would be equivilant too 27

$25.00 * 0.08 = 2 

There you go sales tax is 2.00 :)

(Multiple Choice, 20 pts)Solve the rational equation 3 divided by x equals quantity 4 times x plus 3 divided by x squared, and check for extraneous solutions.

A. x = 0; x = 3 is an extraneous solution
B. x = 3; x = 0 is an extraneous solution
C. x = 0; x = −3 is an extraneous solution
D. x = −3; x = 0 is an extraneous solution

Answers

Answer:

x = -3, x = 0 is a extraneous solution

Step-by-step explanation:

Step 1: Cross-multiply

3x² = 4x² + 3x

Step 2: Isolate x's

0 = x² + 3x

Step 3: Factor

0 = x(x + 3)

Step 4: Find roots

x = 0, -3

Step 5: Double check work

Plug in both to see if they both work. Only x = 0 should be extraneous. We now have our answer!

Answer:

x = -3, x = 0 is a extraneous solution

Step-by-step explanation:

the person above is correct
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