solve each system by substitution
1/2x+1/3y=6
x-y==2

Answers

Answer 1

Step-by-step explanation:

First, let's rewrite the equations.

1/2x + 1/3y =6

x - y = 2

The easiest system to use for substitution is the second one.  Let's solve for X.

x - y = 2

    add y to both sides!

x = 2 + y

Now that we know x = 2 + y we can use it to substitute in the first equation.

1/2(2 + y) +1/3y = 6

1 + 1/2y +1/3y = 6

5/6y = 5

y = 36/5


Related Questions

is it yes or no please!

Answers

Answer:

Yes

Step-by-step explanation:

the sign is a less then or equal to sign therefore, p is less then or equal to seven so anything seven and below is possible.

What is the mode of the following numbers?
8,1,2,6, 1,4

Answers

Answer:

1

Step-by-step explanation:

Because, The mode is the value that appears most often in a set of data values. If X is a discrete random variable, the mode is the value x at which the probability mass function takes its maximum value. In other words, it is the value that is most likely to be sampled.

The mode is 1
This is because its the number that appears the most. Hope this helps

Lul help me please I qkkakqk

Answers

Answer:

So what it gives you Y you put that into the equation so since in your case Y=x-1 you put that into the equation and then find X

y=3 x=4

Step-by-step explanation:

Find 64% of 25. Use a fraction.
A.) 14 1/2
B.) 14 1
C.) 5 1
D.) 6

Answers

Answer:

16

Step-by-step explanation:

64/100 x 25 64/4 simplify and you get 16

The sales tax rate is 10%. If Jason buys a laptop computer priced at $868, how much tax will he pay?

Answers

Answer:

the tax will be 86.8 I hope it helps

someone please please help me with this ( a explanation on why you got this answer would be very helpful too) I would really appreciate it

Answers

Step-by-step explanation:

Let label this using a triangle.

We are sitting 300 ft away from the building.

We can look up to see the top of building at an angle of 60 degrees. So 60 degrees would be near where we standing at. The other angle of the top triangle would be 30 since that the height of building and the ground horizon is perpendicular to each other so they measure 90 degrees. Using triangle interior theorem, the missing angle would be 30.

We use another triangle since we are looking down.

The height of building and where we sitting at is perpendicular. The angle near we at would measure 15 and the missing angle would be 75.

The triangles both combine to form one triangle. They would form a isoceles triangle.

The most bottom angle of the triangles measure 75 while the angle where we are at of both triangle measure 75. so we have a isoceles triangle.

This means that the hypotenuse of the top triangle is equal to the length of the building.

To find the hypotenuse use 30-60-90 rules,

hypotenuse =twice of most shortest side.

[tex]h = 300 \times 2[/tex]

[tex]h = 600[/tex]

So the length of the building is 600.

What is the slope of the line?

A. 0
B. 1
C. 5
D. Undefined ​

Answers

Answer:

D undefined

Step-by-step explanation:

If you get 9 = 0 as your final answer, how many solutions do you have in your set?


A) one solution
B) infinite solutions
C) no solution
D) two solutions

Answers

C, you would have no solution in the set.

The difference between the highest and lowest single game point totals for the MIDDLE HALF of the data is ______ points less for Joe's data than Sam's data. Therefore, the MIDDLE HALF of Joe's single game point totals are less varied than Sam's.

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the required data to answer the question are missing.

However, the interpretation of the question is to determine the interquartile range (IQR) of a certain dataset.

Then get the difference between the calculated IQR & Joe's data and also the difference between the calculated IQR & Sam's data

Then, make comparison

To do this, I will use the following assumed datasets.

[tex]Data: 62, 63, 64, 64, 70, 72, 76, 77, 81, 81[/tex]

IQR is calculated as:

[tex]IQR = Q_3 - Q_1[/tex]

[tex]Q_3[/tex] is [tex]the\ median[/tex] of the upper half

[tex]Q_1[/tex] is [tex]the\ median[/tex] of the lower half

For Joe, we have:

[tex]Lower\ half: 62, 63, 64, 64, 70[/tex]

[tex]Upper\ half: 72, 76, 77, 81, 81[/tex]

The median is then calculated as:

[tex]M = \frac{N + 1}{2}[/tex]

For, the lower half:

[tex]Q_1 = \frac{5 + 1}{2} = \frac{6}{2} = 3rd[/tex]

So:

[tex]Q_1 = 64[/tex]

For the upper half:

[tex]Q_3 = \frac{5 + 1}{2} = \frac{6}{2} = 3rd[/tex]

So:

[tex]Q_3 = 77[/tex]

When the same process is applied to Sam's data,

[tex]Q_1 = 52[/tex]

[tex]Q_3 = 58[/tex]

[tex]IQR = Q_3 - Q_1[/tex]

[tex]IQR = 77 - 64[/tex]

[tex]IQR = 13[/tex]

Assume that:

[tex]Joe = 60[/tex]

[tex]Sam = 65[/tex]

[tex]Joe - IQR = 60 - 13 = 47[/tex]

[tex]Sam- IQR = 65- 13 = 52[/tex]

Hence, the IQR is 47 points less for Joe's data than Sam's

At a basketball​ game, a team made 55 successful shots. They were a combination of​ 1- and​ 2-point shots. The team scored 92 points in all. Write and solve a system of equations to find the number of each type of shot.

Answers

There were 18 one point shots and 37 two point shots.

Step-by-step explanation:

Let the number of one point shots be x and the number of two point shots be y .

So we have the system:

x + y = 55

x + 2y = 92

Subtract the first equation from the second, we get:

0 + y = 92 - 55 = 37.  

y = 37.

From equation 1 we have x = 55 - y

therefore x = 55 - 37 = 18.

Write at least two operations that have the value - 2/4.

Answers

Answer:

(-1)- (-1/2)= -0.5

Step-by-step explanation

-0.5 = to -2/4 in fraction

-0.5 in a fraction equals -2/4

and heyo

Which of the following graphs is NOT a function?

Answers

I believe the answer is D

Answer:

11. B

12. C

Step-by-step explanation:

11. The x-axis number cannot have repeating numbers for it to be a function. The y-axis can have repeating numbers.

12. The graph on C passes the vertical line test, thus it's a function.

Find the radius of the circle

Answers

Answer:

9

Step-by-step explanation:

please help me.Find the lateral suface area

Answers

Answer:

144ft

Step-by-step explanation:

Length x Wifth x height

Brainiest to whoever right plz

Answers

3
11 - 8 = 3
Subtract the median from the right of the median
The third quartile is 11

The area of the rectangle below is 18 square units and the length is 3 3/4 .What is the width of the rectangle?

Answers

Answer:4.8

Step-by-step explanation:18/3.75=4.8

Please answer ? And please no links

Answers

Answer:

23

Step-by-step explanation:

A school club is raising money for a trip, and needs to reach $10,000. Their fundraising progress is modeled by the function

f(x) = 435 + 1200x, where x is measured in weeks.


What is the meaning of the coefficient 1200?

Answers

Answer:

maybe the amount of money by each student

NEED HELP FAST! The problem should be attached!

Answers

Answer:

(5,5) I think I'm not sure

Step-by-step explanation:

Un huerto escolar tiene una superficie de 4dam2 500m2 y se requiere dividir en seis parcelas rectangulares de igual area ¿ cuantos metros cuadrados tendra cada parcela ?

Answers

Answer:

Cada parcela tendrá una extensión de 150 metros cuadrados.

Step-by-step explanation:

De acuerdo con el enunciado el huerto escolar tiene una extensión de 4 decámetros y 500 metros cuadrados.

Tengamos presente que un decámetro es igual a 100 metros cuadrados, entonces el huerto escolar tiene un área total de 900 metros cuadrados. Si dividimos esa área en seis parcelas de igual extensión, tenemos que:

[tex]x = \frac{900\,m^{2}}{6}[/tex]

[tex]x = 150\,m^{2}[/tex]

Cada parcela tendrá una extensión de 150 metros cuadrados.

How do I complete this chart?

Answers

Answer:

Step-by-step explanation:

You would first have to plug in for x, (which is already given). After plugging in for x, you would need to solve the equation to get y.

Once you have both x and y, you will have your (x,y)

For example: (given x value = -5)

[tex]f(x) = -|x - 5| -4\\f(-5) = -|(-5) - 5| - 4\\f(-5) = -|-10| - 4\\f(-5) = -10 - 4\\f(-5) = -14\\f(-5) = y = -14\\\\[/tex]

so:

x = -5

y = -14

( -5, -14)

Please answer all of them! SHOW WORK!!

Answers

Wait I can help fm dm

What is the radius of this circle?

Answers

Answer:

5 cm

Step-by-step explanation:

Here, In given circle the radius is 5cm

-TheUnknownScientist

Hi guys can you answer this question​

Answers

Answer:

160403.47

Step-by-step explanation:

Please mark as brainliest

7.32*600=4392

4392*0.56= 2459.52

2459.52*3= 7378.56

7378.56/3.45=2138.71

2138.71*75= 160403.47

Answer:

28.5161739131

hope this answer helps you.....

need help please hurry

Answers

i think it is 5ft sorry if i’m wrong
I’m pretty sure it’s five or 6 feet

Which inequality is true?

Helpp due now

Answers

Answer:

b is true

Step-by-step explanation:

i hope this helps :)

What is the surface area of the rectangular prism shown above?​

Answers

Answer:

The surface area of the rectangular prism is [tex]160in^2[/tex].

Step-by-step explanation:

The surface area of a 3-dimensional shape is found by adding the area of each side of the shape together. In this case, the areas of each side of the rectangular prism are 20 in, 20 in, 50 in, 50 in, 10 in, and 10 in. Find the surface area by adding each area together and you'll get [tex](50*2)+(20*2)+(10*2)=100+40+20=160in^2[/tex].

Answer:

The answer would be 160 .

Step-by-step explanation:

Good luck honey

HI! please help out ASAP this is due today! Explain it the best you can and send a picture explaining it so I won’t get confused. Thank u!

Answers

The points are
(1,0)
(3,0)
(1,-2)
(5,-2)

put these points on the graph

pls help help help help help help ​

Answers

Answer:

-89

Step-by-step explanation:

-89

-89= 10(-7) - 19   ----------->  -70 - 19

HELP I MARK BRAIN thing

Answers

Answer:

It would be A. x < 6

Step-by-step explanation:

The number line shows it is less than six with a closed circle and the arrow pointing towards the left of it

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