MATHEMATICS HIGH SCHOOL

Which addition does the model below represent?htt
-5 -4
-3
-2
-1
0 1 2 3 4 5
O 3+(-1)
3+4
0 3+(-4)
0
3+1
Which addition does the model below represent? htt -5 -4 - 1

Answers

Answer 1
Answer:

Answer:

it’s c

Step-by-step explanation:

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1.) You are making 6 quarts of fruit punch for a party. You want the punch to contain 80% fruit juice. You have bottles of 100% fruit juice and 20% fruit juice. How many quarts of 100% fruit juice and how many quarts of 20% fruit juice should you mix to make 6 quarts of 80% fruit juice?2.) A business center charges a flat fee to send faxes plus a fee per page you send one fax with 4 pages for $5.36 and another fax with 7 pages for $7.88.Find the flat fee and the cost per page to send a fax.

Answers

The quarts of the two different fruit juices and, the flat and per page fee is required.

The number of quarts of 100% fruit juice is 4.5.

The number of quarts of 80% fruit juice is 1.5.

The flat fee is $2 and the per page fee is $0.84.

Let x be the number of quarts of 100% fruit juice

and y be the number of quarts of 20% fruit juice

The two fruit juices combine to form 6 quarts of fruit juice

x+y=6

The mixture ratios will be

x+0.2y=0.8* 6\n\Rightarrow x+0.2y=4.8

Subtracting the equations we get

y-0.2y=6-4.8\n\Rightarrow 0.8y=1.2\n\Rightarrow y=(1.2)/(0.8)\n\Rightarrow y=1.5

x=6-y=6-1.5\n\Rightarrow x=4.5

The number of quarts of 100% fruit juice is 4.5.

The number of quarts of 80% fruit juice is 1.5.

Let x be the number of pages

y be the total cost.

The ordered pairs are

(4,5.36) and (7,7.88)

Finding equation of line

y-5.36=(7.88-5.36)/(7-4)(x-4)\n\Rightarrow y-5.36=0.84x-3.36\n\Rightarrow y=0.84x-3.36+5.36\n\Rightarrow y=0.84x+2

The flat fee is $2 and the per page fee is $0.84.

Learn more:

brainly.com/question/20397165?referrer=searchResults
Question 1: Get 6 qt of 80% juice with 100% juice and 20% juice.
Change the percents to decimals (.8, 1, and .2)
To model 6 quarts of 80% juice, write as 6(.8)
To model an unknown amount of 20% juice, write as x(.2)
Since there will be a total of 6 quarts, the amount of 100% juice must be 6 quarts minus the amount of 20% juice, which I called 'x'.
Therefore, to model the amount of 100% juice, write it as (6-x)(1)
You can use these to make the equation x(.2)+(6-x)(1)=6(.8)
.2x+6-x=4.8
-0.8x+6=4.8
-0.8x=-1.2
x=1.5
This is the amount of 20% juice. To find the amount of 100%, subtract 1.5 from 6.
6-1.5=4.5. This is the amount of 100% juice to use.

Question 2: Find the flat cost and cost per page if 4 pages costs $5.36 and 7 pages costs $7.88.
Since we know that the flat cost is the same in both, we can model it with the variable 'y'
Also, since the cost per page is the same in both, we can model it with the variable 'x'
Therefore, we know that y+4x=5.36 and that y+7x=7.88
We can use the elimination method to solve for x. To do that, we must have one equation with y and one with -y.
Multiply the first equation by -1 to get -y-4x=-5.36
Eliminate the y's and add the other two
-y-4x=-5.36
y+7x=7.88
3x=2.52
Divide both sides by 3
x=.84
Then, plug x back into one of the equations
y+4(.84)=5.36
Simplify
y+3.36=5.36
Subtract 3.36 from both sides
y=2
Therefore, the flat rate $2 and the cost per page is $0.84

What is the reference angle for 7pi/2

Answers

The reference angle is -90 deg or -pi/2
I think its 90 degrees 

If x=5 and the area of the rectangle is 30 what is the other length of the rectangle?

Answers

Answer:

The other length would be 6.

Step-by-step explanation:

Rectangle area is l times height. So x is either the length for height. So we have 5 times x = 30. To find the other length we have to take 30/5 which equals 6

-2n-h(4rx-6s)-3rx+3s i need help doing this problem

Answers

Ok, first step is to distribute the h to get rid of parenthesis:

-2n - 4hrx + 6hs -3rx +3s

Then you would combine like terms, but there are none! So that's your answer.

- 2n - h(4rx - 6s) - 3rx + 3s =

= - 2n - h×4rx - h×(- 6s) - 3rx + 3s

= - 2n - 4hrx + 6hs - 3rx + 3s

= 2(3hs - 2hrx - 2) - 3(rx - s)

Two sides of a triangle measure 10 inches and 10.9 inches. The included angle between these sides is 65°. What is the approximate measure of the third side of the triangle?

Answers

Answer:

9.9inches

Step-by-step explanation:

From the attachment, the opposite side is debited as "x" while the Hypotenuse is 10.9inches, we can find the third side by using trigonometry

From trigonometry, Sin(x)= opposite/Hypotenuse

Sin(65)=X/10.9

X= Sin(65) ×10.9

X=0.9063×10.9

=9.8688

Hence the third side of the triangle is approximately 9.9inches

CHECK THE ATTACHMENT FOR THE TRIANGLE

The table below shows the amount of money, in hundreds of dollars, Elliot has saved after different numbers of years: Identify the function that represents Elliot's savings and the amount that Elliot will have saved in 9 years.

y = 15x, in 9 years he will have saved $13,500
y = x + 15, in 9 years he will have saved $2,400
y = 6x, in 9 years he will have saved $5,400
y = x + 90, in 9 years he will have saved $9,900

Answers

Table:
Years (x)                                      1     2     3     4     5     6 
Money (y) (hundreds of dollars) 15   30   45   60   75   90

y = 15(x)
y = 15(9)
y = 135 hundreds of dollars

y = 15x, in 9 years he will have saved $13,500

Answer:it’s a, 13,500. I took the test

Step-by-step explanation:
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A sine function can be used to model light waves. Green light has a wave length, or period of about 510 nm . which equation best models green light? a. y= sin pi/510 theta b. y= sin pi/255 theta c. y= sin 510/pi theta d. sin 255/pi theta
How many leaves on a tree diagram are needed to represent all possible combinations tossing a coin 4 times?
Work out: 27^-(1/3).