A TV goes on sale with a discount of 28%. The original price of the TV is $942. What is the sales price of the TV?

Answers

Answer 1
Answer:

Answer:

28% discount of the TV = $678.24

Step-by-step explanation:

28% discount of the TV = actual price - 28% of the actual price.

Since we know the actual price to be $942

Actual price = $942

28% of the actual price = 28% * actual price.

= 28/100 x 942

= 26376/100

= 263.76.

28% discount of the TV = actual price - 28% of the actual price.

28% discount of the TV = $942 - $263.76

28% discount of the TV = $678.24

Answer 2
Answer: A percentage is equivalent to a fraction, a percentage is out of 100 therefore the fraction for this can be 28/100, as a decimal this would be .28. Therefore to solve this problem you would set up the problem as, 942 x .28= 263.76, you then take that number and subtract it from the original price of the tv, and you get the final price, of $678.24.

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Suppose y varies directly with x. If y = -2 when x = 1, what is the value of x when y = 4?

Answers

Answer:

When x = 1, y = -2

When y = 4 = -2 x -2

Therefore x = 1 x -2 = -2

Hope this helps!

x = 6 i think. not too sure never had this type of question before

You estimate that there are 44 marbles in a jar. The actual amount is 73 marbles. Find the percent error.

Answers

Answer:

Percentage Error in counting the marbles in the jar is 39.72%

Step-by-step explanation:

Estimated marbles in the jar = 44

Actual marbles in the jar  = 73

Error in  Marbles  =  Number of actual Marbles - Estimated marbles

                                 =   73  - 44 = 29

So, the error in counting marbles in the jar is 29.

Now, \textrm{Percentage Error}  = \frac{\textrm{Error in the Data}}{\textrm{Actual Data}}  * 100

= (29)/(73)  * 100  = 39.72

or, Percentage Error  =  39.72%

Hence, the Percentage Error in counting the marbles in the jar is 39.72%

Use the formula A=1•w , solve the following word problem. You have enough wallpaper to cover 240 square feet. If your walls are 8 feet high, what wall length can you paper?
a.
Wall length of 40 feet
b.
Wall length of 30 feet
c.
Wall length of 3 feet
d.
Wall length of 16 feet


Please select the best answer from the choices provided

A
B
C
D

Answers

b. wall length is 30 feet

A container holds a combination of nickels and quarters. There are 156 coins in all, and their total value is $21.60. The system of equations models this situation, where x is the number of nickels and y is the number of quarters.x+y=156
0.05x+0.25y=21.6
How many nickels and quarters are in the container?
A.
118 nickels and 38 quarters

B.
106 nickels and 50 quarters

C.
87 nickels and 69 quarters

D.
72 nickels and 84 quarters

Answers

x+y=156
0.05x+0.25y=21.6

-1/4*/ x+y=156
1/20x+1/4y=216/10

-1/4x-1/4y=156*-1/4=-39

1/20x+1/4y=216/10
+--------------------------
-4/20x=-17,4

x=87

x+y=156

87+y=156    y=69

this question answer is 
87 nickels and 69 quarters

A boat can hold 45 people. 27 more people can fit on the boat. How many people are one the boat now?

Answers

The answer is since the boat can hold 45 people then 27 more people had add to the boat so now you need to add them to find your answer. The boat can hold 72 people. 

What is an equation of the line that is perpendicular to y-3 =-4(x+2)​

Answers

Answer:

y - 3 = (1)/(4)(x+2) or choose any line with slope 1/4

Step-by-step explanation:

The slope of this line is -4. The slope of the line perpendicular to this line will be the negative reciprocal or 1/4.

Write the equation using the slope m=1/4 and the point slope form.

y-y_1=m(x-x_1)\ny-3=(1)/(4)(x+2)

This is the equation of the line that is perpendicular and passes through the same point (-2,3) as the equation listed.

Answer:

y=(1)/(4) x+c   where c can be any number.

Step-by-step explanation:

First we need to clear for y:

y-3 =-4(x+2)\ny=-4(x+2)+3\ny=-4x-8+3\ny=-4x-5

and now we have an equation of the form:

y=mx+b

where m is the slope and b is the y-intercept.

in this case m=-4 and b=-5

to find and equation perpendicular to this line, the following must be true:m*m_(1)=-1

where m is the slope of the original line that i just mentioned, and m_(1) is the slope of the new line. Substituting m=-4

-4*m_(1)=-1

clearing for m_(1)

m_(1)=(-1)/(-4) \nm_(1)=(1)/(4)

thus, the new perpendicular line must have the form:

y=m_(1)x+c\ny=(1)/(4)x+c

where the y-intecept c can be any number, some examples are:

y=(1)/(4)x+3\ny=(1)/(4)x-8

and so on, the important thing to be a perpendicular line is that the slopes are related to the equation m*m_(1)=-1.