A student wants to prove that she can solve a system of a system of equations by replacing one of the equations with two times that equation and adding the other equation. The original system was 12x +2y =30 and 10x+y = 26. The student claims that her first step is to add the two linear equations. Select the option that refutes the student claim

Answer:

7 ÷ 84 = 84 = 12 ounces

             _

             7

Step-by-step explanation:

The equation will be 7x = 84. Then the number of ounces will each person get to drink will be 12.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Seven people are going to share an 84-ounce bottle of soda.

Let x be the number of the ounces bottle of soda of each person.

Then we have the equation will be

7x = 84

 x = 84 / 7

 x = 12

Then the number of ounces will each person get to drink will be 12.

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Answer:

the cost of 1 plane is $40

Step-by-step explanation:

Answer:

a. The monthly payment is approximately $2,751.62

b. The total of all monthly payment for the 30 years is approximately $990,582.175

c. The finance charge is approximately $615,582.175

d. The interest is greater than the original cost of the home

Step-by-step explanation:

a. The given parameters for the mortgage are;

The principal amount of the home Fernandez family is buying, P = $375,000

The number of years mortgage they take buy the home = 30 years

The percentage rate of the mortgage, r = 8%

The monthly payment, 'A', for the mortgage is given as follows;

[tex]A = \dfrac{ P \times \left (\dfrac{r}{12} \right ) \times\left (1 + \dfrac{r}{12} \right )^n}{\left (1 + \dfrac{r}{12} \right )^n - 1 }[/tex]

Where;

n = The number of monthly payments = 30 years × 12 months/year = 360 months

Therefore, by substituting the known values, we have;

[tex]A = \dfrac{ 375,000 \times \left (\dfrac{0.08}{12} \right ) \times\left (1 + \dfrac{0.08}{12} \right )^{360}}{\left (1 + \dfrac{0.08}{12} \right )^{360} - 1 } = 2,751.61715172[/tex]

The monthly payment, A = $2,751.61715172 ≈ $2,751.62

b. The total of all monthly payment for the 30 years = 360 × $2,751.61715172 ≈ $990,582.175

c. The finance charge = The total amount repaid - The amount that was financed = The interest payed on the amount financed

∴ The finance charge = $990,582.175 - $375,000 ≈ $615,582.175

d. The interest (approximately $615,582.175) is greater than the original cost of the home ($375,000)

Answer:

(-4,0)

Step-by-step explanation:

If y=0 that means substitute the y into the top equation as 0. 0=x+4, subtract 4 on both sides. x=-4. Now we know y is 0 and x is -4 so the coordinate point is (-4,0). Hope this helps!

Answer:

x=5

y=6

Step-by-step explanation:

a) 3x=15

      /3

x=5

b) y+7=13

      -7

y=6

Answer:

x=12°

Step-by-step explanation:

180 - 90 = 4x - 2° + 3x + 8 °

90°= 7x + 6

90° - 6 = 7x

7x = 84

x= 84/7

x = 12

Answer:

Look at the picture attached.

Step-by-step explanation:

Your x-intercept is 6 and your y-intercept is 4, that is where your 2 points will go. According to the slope, you should go up 2 and over 3, if you don't want to find the x-intercept. Then you would just plot the y-intercept which is 4, and then go up 2, over three and plot the next.

Hope this helps! :)

Answer:

Answer is in the picture, hope i got it right :)

9514 1404 393

Answer:

  (7.5, 1.7)

Step-by-step explanation:

The point of interest (P) is the weighted average of the end points. The weights are the reverse of the lengths of the associated segments.

  P = (3A +7B)/10

  P = (3(-3, -6) +7(12, 5))/10 = (-9+84, -18 +35)/10 = (75, 17)/10

  P = (7.5, 1.7)

Answer: 224

Step-by-step explanation:

56% is the same as saying (56/100). When finding a percent of a number, you’re really setting up a ratio with the value x:

(56/100)=(x/400)

Then you just cross multiply:

(56 x 400)/100=x

x=224

Answer:

Step-by-step explanation:

E for Envelopes

N for Notebook Paper

3E + 4N = $13.25

2E + 6N = $17

N = $2.45

E = $1.15

Answer:

p = -8

Step-by-step explanation:

-6p = 48

divide both sides by -6

p = -8

Answer:

4x - y = 16

Step-by-step explanation:

y = 2(x – 3)2 - 4

When written in standard form, this will be the answer --->

4x - y = 16

Answer:

y = 2x² - 12x + 14

Step-by-step explanation:

The equation of a parabola in standard form is

y = ax² + bx + c ( a ≠ 0 )

Given

y = 2(x - 3)² - 4 ← expand (x - 3)² using FOIL

  = 2(x² - 6x + 9) - 4 ← distribute parenthesis

  = 2x² - 12x + 18 - 4

y  = 2x² - 12x + 14 ← in standard form

Answer:

C. 75 cu cm

75 cm³

Step-by-step explanation:

Volume of the cake when Salim bought it = length × width × height

= 15 cm × 6 cm × 5 cm

= 450 cm³

Volume of the cake after Salim cut a piece = length × width × height

= 12.5 cm × 6 cm × 5 cm

= 375 cm³

volume of the piece that Salim ate = Volume of the cake when Salim bought it - Volume of the cake after Salim cut a piece

= 450 cm³ - 375 cm³

= 75 cm³

volume of the piece that Salim ate = 75 cm³

Answer:

30%

Step-by-step explanation:

(50 - 35)/50 x 100 = (15/50) x 100 = 30%

Answer:

X=6 I hope this helps have a great day!

just divided 24 by 4!

Answer:

x =6

Step-by-step explanation:

You want to solve for the variable, so you have to isolate it on to one side of the equation. You can do this by doing reverse operations. For example, the reverse operation of addition is subtraction. This is reversible as well.

4x = 24

Because 4x is the same thing 4 (x), the reverse operation would be division:

4x = 24

----    ---

4      4

x  =  6

Answer:

36 is what percent of 80? = 45.

Answer:

45

Step-by-step explanation:

46/80%

pretty simple I hope this helps you

Answer:

[tex]y = x - 1[/tex]

:))))))))))

Answer:

-1

Step-by-step explanation:

the line goes through the y axes and it goes over -1 as it passes

Answer:

-3/2

Step-by-step explanation:

Answer:

x - 4

Step-by-step explanation:

Answer:

Conclusion:

As y = -3 MAKES the inequality TRUE.

Therefore, option D i.e. y = -3 is true.

Step-by-step explanation:

Given the inequality

3y² + 2(y - 5) > 8

For y = 0

substitute y = 0 in the inequality

3y² + 2(y - 5) > 8

3(0)² + 2(0 - 5) > 8

3(0) + 2(-5) > 8

0 - 10 > 8

-10 > 8

FALSE!

-10 can not be greater than 8.

Hence, y = 0 does not make the inequality true.

For y = -1

substitute y = -1 in the inequality

3y² + 2(y - 5) > 8

3(-1)² + 2(-1 - 5) > 8

3(1) + 2(-6) > 8

3 - 12 > 8

-9 > 8

FALSE!

-9 can not be greater than 8.

Hence, y = 1 does not make the inequality true.

For y = -2

substitute y = -2 in the inequality

3y² + 2(y - 5) > 8

3(-2)² + 2(-2 - 5) > 8

3(4) + 2(-7) > 8

12 - 14 > 8

-2 > 8

FALSE!

-2 can not be greater than 8.

Hence, y = -2 does not make the inequality true.

For y = -3

substitute y = -3 in the inequality

3y² + 2(y - 5) > 8

3(-3)² + 2(-3 - 5) > 8

3(9) + 2(-8) > 8

27 - 16 > 8

11 > 8

TRUE!

11 is indeed greater than 8.

Hence, y = -3 MAKES the inequality TRUE.

Conclusion:

As y = -3 MAKES the inequality TRUE.

Therefore, option D i.e. y = -3 is true.

Answer:

D

Step-by-step explanation:

Answer:

I can’t c anything where are the answers we’re choosing ?

Step-by-step explanation:

Answer:

raise 3^4 and ans is 81 or u can simply multiply.

Answer:

11.6 cents per hour.

Step-by-step explanation:

To find the rate per hour we divide the money paid by the number of hours: $82.50/712 = $0.116 per hour or 11.6 cents per hour.

Answer: 11.6 cents per hour.

Step-by-step explanation:

Answer:

the middle left and right

The table representing the relative frequencies by rows would be:

                    King Bed     Queen Bed

Mountain 0.58       0.42

Ocean         0.38             0.62

The table representing the relative frequencies by columns would be:

                King Bed Queen Bed

Mountain      0.68             0.47

Ocean       0.32             0.53

Relative frequency is a statistical term that describes the proportion or percentage of times that an event or value occurs within a dataset or sample.

It is calculated by dividing the number of times the event occurs by the total number of observations in the dataset or sample.

We have,

To find the relative frequencies of this data by rows or by columns, we need to divide each count by the total number of rooms occupied. The total number of rooms occupied is:

25 + 18 + 12 + 20 = 75

To find the relative frequencies by rows, we divide each count by the total for that row:

For Mountain View rooms:

King Bed: 25/(25+18) ≈ 0.58

Queen Bed: 18/(25+18) ≈ 0.42

For Ocean View rooms:

King Bed: 12/(12+20) ≈ 0.38

Queen Bed: 20/(12+20) ≈ 0.62

The table representing the relative frequencies by rows would be:

                    King Bed     Queen Bed

Mountain 0.58       0.42

Ocean         0.38             0.62

To find the relative frequencies by columns, we divide each count by the total for that column:

For King Bedrooms:

Mountain View: 25/(25+12) ≈ 0.68

Ocean View: 12/(12+20) ≈ 0.38

For Queen Bedrooms:

Mountain View: 18/(18+20) ≈ 0.47

Ocean View: 20/(18+20) ≈ 0.53

The table representing the relative frequencies by columns would be:

                King Bed Queen Bed

Mountain      0.68             0.47

Ocean       0.32             0.53

Note that we round the relative frequencies to the nearest hundredth.

Thus,

The table representing the relative frequencies by rows and columns is given above.

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Answer:

d

Step-by-step explanation:

The false statement is option (d) This relationship is an example of exponential growth.

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

The graph shows the value in the account after 2005.

0 indicates the year 2005.

1, 2, ...... indicates 2006, 2007, etc.

A) The value in 2007 corresponds to value of 2, which is 124.44.

True statement.

B) From 2013-2015 means that x values from 8 to 10.

Value of money during 2013-2015 = 180 - 166.19 = 13.81

From 2005-2007 means that x values from 0 to 2.

Value of money during 2005-2007 = 124.44 - 113 = 11.44

So Value of money during 2013-2015 is greater than that of 2005-2007.

True statement.

C) To find the amount account gained per year, find slope.

Slope = Change in y coordinates / Change in x coordinates

Take two points on the line (0, 113) and (2, 124.44)

Slope = (124.44 - 113) / (2 - 0) = 5.72

Hence the account gains $5.72 every year.

True statement.

D) Clearly the function is linear since the graph is a straight line.

Hence this is not a exponential growth.

Hence D is the false statement.

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Answer:

3x-2 = 4 or x = ²/3

Step-by-step explanation:

we have full bars of X's so that represents 3 because we have 3 of them and we subtract the 2 (-1)'s we also have and since it is an equation it is supposed to equal something so in this case it equals 4 (1)'s .

If you solve the equation you get x =²/3

Answer:

i think its -0.25

Step-by-step explanation:

i dont really ave an explanation a just used a calculator

Answer:

20

Step-by-step explanation:

500 divided by 25=20

The required inequality is 500 + 25x ≥ y which represents the given situation.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

Let x be the number of days Jayla buys stickers.

The total number of stickers Jayla has at the end of the month is 500 + 25x.

To represent the inequality that Jayla wants at least y stickers in her collection at the end of the month, we can write:

500 + 25x ≥ y

This inequality states that the total number of stickers Jayla has (500 + 25d) is greater than or equal to the number of stickers she wants (y) at the end of the month.

It gives the minimum number of days Jayla should buy stickers to achieve her goal.

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