Determine the number of solutions you will have for the system 4y + x = 16 and y = 4 – x.

Answers

Answer 1

Equaling both equations, it is found that the correct option that states the number of solutions you will have for the system is:

D: one solution

The equations are:

[tex]4y + x = 16 \rightarrow x = 16 - 4y[/tex]

[tex]y = 4 - x \rightarrow x = 4 - y[/tex]

Equaling both equations for x, we have that:

[tex]16 - 4y = 4 - y[/tex]

[tex]3y = 12[/tex]

[tex]y = \frac{12}{3}[/tex]

[tex]y = 4[/tex]

[tex]x = 4 - y = 4 - y = 0[/tex]

Hence, the system has one solution, which is (0,4), and option d is correct.

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Related Questions

Hailey wacthed 30% of the 120 shows in her favrite seires. How many more epsiodes will she need to wacth to finnish the series? (ik this easy)​

Answers

Answer:

84

Step-by-step explanation:

Total episodes to watch = (100 - 30)% = 70%

Finding 70% of 120

70/100 × 120

7 × 12

84

What is the value of X

Answers

The answer would be 6 I belive make sure to double check it

Find the percent increase. Round to the nearest percent. From 95 books to 153 books

Answers

Answer:

62%

Step-by-step explanation:

(The part/ the whole)× 100

(95/153) = 0.62

0.62×100 = 62%

Graph the line with slope -2/3
passing through the point (-4,5).

Answers

Answer:

graph this equation

y = -2/3x 7/3

Step-by-step explanation:

y-5=-2/3(x--4)

y-5 = -2/3x - 8/3

y = -2/3x 7/3

Is (–3, –2) a solution to the equation y = x + –1?

Answers

Answer:

No.

Step-by-step explanation:

We plug in the coordinates and that gives us -2=-3+-1, that is not true, therefore your answer is no.

Brainliest would be appreciated! :-)

Use what you know about operations and their properties to write three expressions equivalent to the expression shown.

10(2+3)−8⋅3

Answers

1) Simplify 2 + 3 to 5.

10 * 5 - 8 * 3

2) Simplify 10 * 5 to 50.

50 - 8 * 3

3) Simplify 8 * 3 to 24.

50 - 24

4) Simplify.

24

Okie help please math math math

Answers

Answer:

x = 15

Step-by-step explanation:

The angles shown are supplementary angles. Supplementary angles add up to equal 180°

This means that 2x + 8 + 8x + 22 must equal 180

Note that we've just created an equation that we can use to solve for x

We now solve for x using that equation

2x + 8 + 8x + 22 = 180

combine like terms : 2x + 8x = 10x and 8 + 22 = 30

10x + 30 = 180

subtract 30 from both sides : 30 - 30 cancels out and 180 - 30 = 150

10x = 150

divide both sides by 10: 10x / 10 = x and 150 / 10 = 15

we're left with x = 15

Answer:

x = 15

Step-by-step explanation:

The angles shown are supplementary angles. Supplementary angles add up to equal 180°

This means that 2x + 8 + 8x + 22 must equal 180

Note that we've just created an equation that we can use to solve for x

We now solve for x using that equation

2x + 8 + 8x + 22 = 180

combine like terms : 2x + 8x = 10x and 8 + 22 = 30

10x + 30 = 180

subtract 30 from both sides : 30 - 30 cancels out and 180 - 30 = 150

10x = 150

divide both sides by 10: 10x / 10 = x and 150 / 10 = 15

we're left with x = 15

convert 24580 m into km with process ​

Answers

Answer:

24.58 km

Step-by-step explanation:

1 km = 1000 m

1 m = 1 / 1000 km

24580 m

= 24580 / 1000

= 24.58 km

PLEASE HELP IM REALLY NEED HELP

Answers

Answer:

x=7

Step-by-step explanation:

3.5/3= 1.1666666666

6*1.16666666= 7

x=7

A yoga studio charges a $180 yearly fee for membership plus $18 for each class. What is the average total cost per class if a studio member takes 75 classes per year? Do not include the dollar sign ($) in your answer.

Answers

Answer:

Average total cost per class is 13.5

Step-by-step explanation:

A yoga studio charges a 150 yearly fee for membership plus150yearlyfeeformembershipplus12 for each class.

Yearly charge = 150 $

Charge per class = 12 $

A studio member takes 100 classes per year

Number of class attended by studio member = 100

We need to find average total cost per class for this member for a year.

Total charge = Yearly charge + Number of class attended x Charge per class

Total charge = 150 + 100 x 12

Total charge = 150 + 1200

Total charge = 1350 $

\begin{gathered}\texttt{Average total cost per class = }\frac{\texttt{Total charge}}{\texttt{Number of class attended by studio member}}\\\\\texttt{Average total cost per class = }\frac{1350}{100}=13.5\$\end{gathered}

Average total cost per class =

Number of class attended by studio member

Total charge

Average total cost per class =

100

1350

=13.5$

Average total cost per class = 13.5 $

Study hard

Brainliest please thank you!

Answer:

1,530

Step-by-step explanation:

Total charge = 180 + 75 x 18

Total charge = 150 + 1,350

Total charge = 1,530 $

Solve for x
x/6=10
1) x=10
2) x=60
3) x=4
4) x=16​

Answers

Answer:

2) x=60

Step-by-step explanation:

x/6=10

multiply both sides by 6

x = 10*6

x=60

hope this helps! :D

have a miraculous day!! <3

Answer:

2) x = 60

Step-by-step explanation:

x/6=10

multiply both side by 6

x = 10*6

x = 60

✌️❤️✌️

Find the distance between (-10.-15) and (12, 18).

Answers

Answer:

11[tex]\sqrt3[/tex] or 39.66 units.

Step-by-step explanation:

Use the distance formula!

Answer:

The distance between two points with coordinates  (-10,-15) and (12,18) is:

39.66 units  (results are rounded to the nearest 100th)

Step-by-step explanation:

Hoped this helped.

I apologize if this is incorrect.

What is the slope of the line?
1/2 2 1 -2

Answers

Answer:

the slope of the line is 2

Step-by-step explanation:

Answer:

The slope of the line is 2.

Step-by-step explanation:

The point where the line crosses the y-axis, also known as the y-intercept, is (0,1). The next clear point is (1,3).

We can use the formula for finding slope here.

[tex]\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]

If we plug in the points, with (0,1) being the first and (1,3) being the second, we'll get this:

[tex]\frac{3-1}{1-0} --> \frac{2}{1} --> 2[/tex]

Therefore, the slope is 2.

Can someone pls help me!! And if u can explain how u do it I will very thankful for that..

Answers

Answer:

For the first question is 8y, and the second question would be 80

Step-by-step explanation:

The perimeter of a shape is calculated by adding it's sides together, and 2y+2y+2y+2y=8y. If y=10, we can substitute y for 10 in which 8*10 is 80.

Two pieces of equipment were purchased for a total of $5000. If one piece cost $410 more than the other, find the price of the less expensive piece of equipment

Answers

Answer:   i have never did a math problem like this before because i'm only in the 2nd semester of 7th grade but i will try, i think it is 2090

Step-by-step explanation: 5000 divided by 2 = 2500. then you do 2500-410. 2500-410= 2090.  (i hope this will help you and sorry if i did it wrong) :)

What is the result of 3/ 1/6
2
9
18
27

Answers

Step-by-step explanation:

remember 3 things

1. 3 = 3/1 (any integer is also a fraction of itself divided by 1).

2. 3 / 1/6 = 3/1 / 1/6 = 3/1 × 6/1 (dividing by a fraction is the same as multiplying with the upside-down fraction).

3 a/b × c/d = ac / bd. in our case 3/1 × 6/1 = 18/1 = 18

The answer would be 18? multiple num. by den. 3•6=18

A car is 15 feet long. A truck is 80% longer than the car. How long is the truck?
Enter numerical answer only. (just the number)

also thank you to everyone that has been helping me out when i have quetions.
also be as fast as you can cause this quiz is do in 30 min cause i am staying after school.

Answers

Answer:

27

Step-by-step explanation:

Answer:

27 feet

Step-by-step explanation:

One way to do this is: 15 * 0.8 = 12 and you can add the original 15 feet to get 27 feet in total. I converted the 80 percent to a decimal and added it back to the original number.

Another way to do this is: 15 * 1.8 and the result is also 27 feet.

A ladder is 65 inches tall. How tall is it in feet and inches?

Answers

1 foot = 12 inches

65 inches / 12 = 5.41 feet

5 x 12 = 60

65-60 = 5

Answer: 5 feet 5 inches

can I have some help?

Answers

Answer:

[tex]x = \sqrt{58} [/tex]

Step-by-step explanation:

first, you should draw a line to separate the triangle from the rectangle

You can get the height if the triangle by saying 16-9

This will give you 7

The base of the triangle is 3 because the opposite side is given and the opposite sides of a rectangle are equal

Now that we have the measurements of the triangle we can use the Pythagorean theorem

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

[tex] {x}^{2} = {7}^{2} + {3}^{2} [/tex]

[tex] {x}^{2} = 49+ 9[/tex]

[tex] {x}^{2} = 58[/tex]

[tex]x = \sqrt{58} [/tex]

Student council raised $670 earlier this year. Then they held a raffle. In total they raised $1,350. Write an equation an solve for the amount raised at the raffle.

Answers

r= money collected at the raffle.
670+r= 1,350. Subtract 670 from each side of the equation to isolate the variable. Once you do that, you get r= $680.

Answer:

1,350-670=R

Step-by-step explanation:

R means Raffle

The 20th term from the end of the AP, 3, 8 , 13,. ..... ,253 is​

Answers

Given A.P = 3,8,13,...,253

Common difference = 8-3 = 5

The AP from the end = 253, 248,245,...,13,8,3

First term from the end = 253

Common difference = 248-253 = -5

We know that

an = a+(n-1)d

t20 = 253+(20-1)(-5)

→ t 20 = 253 +(19)(-5)

→ t 20 = 253-95

→ t 20 = 158

20th term from the end of the AP = 158

Henry goes to the carnival with 3
friends. They each ride 5 rides at
$5.50 per ride. Two of them buy an
ice cream cone for $2.00 each. Henry
buys a hot dog for $4.00 and his
friend has a hamburger for $3.00.
Each of the 4 friends buys a drink for
$1,75. What is the total amount they
spend at the fair?

Answers

Answer:

$5.50 x 5 =  $27.5

$27.5 x 4 =  110$

$2.00 x 2 = $4.00

$4.00

$3.00

$1.75 x 4 =  7$

27.5 + 110 + 4.00 + 4.00 + 3.00 + 7 = 155.5

Step-by-step explanation:

can you me as brainliest if its right?\

my first answer was wrong

3 x 5 = 15 rides
15 x 5.50 = $82.50
2 x 2 = $4
+ $2
+ 3
4 x 1.75 = $7
= $98.50
that’s what i got

7. (6 points) For the following geometric sequence, 3 ,- 1, 1/3,-1/9, …
Find the formula for the nth term

Answers

Answer:

The formula of the nth term is a₇=48(1/2)⁷⁻¹=48×1/64=3/4

Step-by-step explanation:

6(3x+12-4x)=2x+2+3x solve for x

Answers

Answer:

its 70/11 or 6.36

Step-by-step explanation:

What is the product of 3.4 × 10−14 and 1.8 × 1028? (5 points)

Answers

Answer:

1874.4

Step-by-step explanation:

First multiply 3.4 and 10

34

Then subtract 14 from 34

24

Then multiply 1.8 by 1028

1850.4

Lastly add 1850.4 and 24

1874.4

Answer:

7.987

Step-by-step explanation:

Just use your head man

If a < b then ka < kb

Answers

What? That dose not make any sense

Which of the following statements explains the correct method to solve the equation 7x - 8 = 48?

Answers

Answer:

Follow the explanation below.

Step-by-step explanation:

7x = 48 - 8

7x = 40

x = 40/7

x = 5.714

he returns on share A follow the market model with coefficients αA = 0.01, βA =
1.25. If at time t, R~ MT = 0.02 and the actual return on share A is 0.025, calculate
∈�At (the error term)

Answers

Answer:

2 or more so it's be like 3 I guess he doesn't have the right for the tiger and in the heights block he it is a great game and to

Lionfish are considered an invasive species, with an annual growth rate of 67%. A scientist estimates there are 8,000 lionfish in a certain bay after the first year.

Part A: Write the explicit equation for f (n) that represents the number of lionfish in the bay after n years. Show all necessary math work. (4 points)

Part B: How many lionfish will be in the bay after 6 years? Round to the nearest whole number and show all necessary math work. (3 points)

Part C: If scientists remove 1,200 fish per year from the bay after the first year, what is the recursive equation for f (n)? Show all necessary math work. (3 points)

Answers

There would be 173,535 lionfish after 6 years.

Since lionfish are considered an invasive species, with an annual growth rate of 67%, ya scientist estimates there are 8,000 lionfish in a certain bay after the first year, A) to write the explicit equation for f (n) that represents the number of lionfish in the bay after n years; B) determine how many lionfish will be in the bay after 6 years; and C) if scientists remove 1,200 fish per year from the bay after the first year, determine what is the recursive equation for f (n); the following calculations must be performed:

A) 8000 x 1.67 ^ n = f  B) 8000 x 1.67 ^ 6 = X 8000 x 21.691961596369 = X 173,535.692770952 = X  C) (8000 - 1200 x 1 ^ n) x 1.67 ^ n = f

Therefore, there would be 173,535 lionfish after 6 years.

Learn more about maths in https://brainly.com/question/25851847

What is the x-value of the vertex of f(x) = -x2 + 9x - 11 ?

Answers

Answer:

I believe it would be 9/2 !

Step-by-step explanation:

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