MATHEMATICS HIGH SCHOOL

Find the constant of variation k for the direct variation. A . K = -2

B . K = 2

C . K = -0.5

D . K= -1.5
Find the constant of variation k for the direct variation. - 1

Answers

Answer 1
Answer:

Answer:

K = -2

Step-by-step explanation:

If y varies directly as x, k (constant) can be found by dividing the y-coordinate by the x-coordinate.

k = (2)/(-1) = -2
Answer 2
Answer:

Answer:

B

Step by step explanation

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Solve the percent problem. 6. How much is 40% of $80 ?

Answers

Answer: $30

Step-by-step explanation:

Notice the wording. 40 percent of 80 dollars

of= multiply

1. Turn 40% to decimal.

40% = 0.40

2. Multiply

0.40(80)=  32

So your answer is 30 dollars.

Final answer:

To solve the percentage problem, you multiply $80 by 0.40 (which is the decimal equivalent of 40%). The result is $32.

Explanation:

The question is asking for the value of 40% of $80. To solve this percent problem, you will need to multiply the total amount ($80) by the percentage (40%). However, since the percentage is given as a whole number, you must first convert it to a decimal by dividing by 100. So, 40% becomes 0.40 as a decimal.

To find out what 40% of $80 is, you then multiply $80 by 0.40. Here's the math:

$80 x 0.40 = $32

So, 40% of $80 equals $32.

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A rectangle is dilated by a scale factor of n = 1. Which statement is true regarding the image of the dilation?

Answers

Well, you didn't bother to list the answer choices, so there's no way
I can help you pick the correct choice. 

But I can tell you this:  Any time a figure is dilated by a scale factor of 1,
the image is congruent to the original figure. 

Answer:

It is a reduction because 0 < n < 1.

Step-by-step explanation:

How to solve it ...

1. 5-2x²-6x
2. (x+3) (x+4)=0

Answers

1.\n5-2x^2-6x=0\n-2x^2-6x+5=0\n\na=-2;\ b=-6;\ c=5\n\n\Delta=b^2-4ac\to\Delta=(-6)^2-4\cdot(-2)\cdot5=36+40=76\n\nx_1=(-b-\sqrt\Delta)/(2a)\to x_1=(6-√(78))/(2\cdot(-2))=(6-√(4\cdot19))/(-4)=(6-2√(19))/(-4)=(√(19)-3)/(2)\n\nx_2=(-b+\sqrt\Delta)/(2a)\to x_2=(3-√(19))/(2)

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2.\n(x+3)(x+4)=0\iff x+3=0\ \vee\ x+4=0\n\nx=-3\ \vee\ x=-4

The perimeter of a rectangular painting is 318 cm.If the length of the painting is 95 cm, what is its width?

Answers

Answer:

64 cm

Step-by-step explanation:

In a rectangle, two sides opposite each other would be equal to 95. (5 plus 95 is 190. 318 minus 190 is 128. 128 divided by 2 is 64. 64+64+95+95=318.
The length of the rectangle is 64

Find the slope of the line that contains (4, -10) and
(3,9).

Answers

Answer:

The slope of the line is -19. A line that will pass through that will be y=-19x+66. THE ANSWER YOU ARE LOOKING FOR IS THAT THE SLOPE IS -19

Step-by-step explanation:

m = (y2 - y1)/(x2 - x1)    [Formula to find slope from two points]

m=(9-(-10))/(3-4)           [Plugging the two points in]

m= -19                          [Answer]

I NEED HELP ASAP (A new pizza shop opened up and started out$5,344.46 in the hole. Their first month being open they sold 61 pizzas ($3.06 profit each) and 89 sodas ($1.42 profit each). Thier bills for the first month were $1,208.01. How much money do they still need to make to break even?

Answers

Answer:

$894.97 is needed more to break even

Step-by-step explanation:

In this question, we want to know how much money the pizza shop need so that their profits will equal their expenses.

Let’s calculate their profit

This can be calculated from the pizza sales

That would be;

61(3.06) + 89(1.42) = $186.66 + $126.38 = $313.04

Now, given that their bills for the first month is $1,208.01, the amount still needed to break even would be the amount of their bills minus the profit made from selling soda and pizza

That would be 1,208.01 - 313.04 = $894.97
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