1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lawyer [7]
3 years ago
14

Use the substitution method to solve the system of equations. Write your answer as an order pair. y=x-2 and y=-2x+7

Mathematics
1 answer:
omeli [17]3 years ago
4 0
X=3 ,y=1
i hope this helps
You might be interested in
1. Gavin and Seiji both worked hard over the summer. Together, they earned a total of $425. Gavin earned $25 more than Seiji. Ho
Gre4nikov [31]
Let x = the amount that Seini earned
Then x + 25 = the amount that Gavin
The amount Gavin earned would also = 425 - x (your directions asked you to have 2 equations.)
Together they earned 425:
x + (x + 25) = 425
2x + 25 = 425
2x = 400
Now divide both sides by 2 to find x.

Use all of this data to satisfy the directions.
8 0
3 years ago
You roll a 4-sided die repeatedly. On your odd-numbered rolls (1st,3rd,5th, etc.) you are victorious if you get a 4. On your eve
Sunny_sXe [5.5K]

Answer:

E (Y) = 3

Step-by-step explanation:

If a 4-sided die is being rolled repeatedly; and the odd-numbered rolls (1st 3rd,5th, etc.)

The probability of odd number roll will be, p(T) = \frac{1}{2}

However, on your even-numbered rolls, you are victorious if you get a 3 or 4. Also, the  probability of even number roll, p(U) = \frac{1}{2}

In order to  calculate: E (Y); We can say Y to be the number of times you roll.

We know that;

E (Y) = E ( Y|T ) p(T) + E ( Y|U ) p(U)

Let us calculate E ( Y|T ) and E ( Y|U )

Y|T ≅ geometric = \frac{1}{4}

Y|U ≅ geometric = \frac{1}{2}

also; x ≅ geometric (p)

∴ E (x) = \frac{1}{p}

⇒ \frac{Y}{T} = 4 ; also \frac{Y}{U} = 2

E (Y) = 4 × \frac{1}{2} + 2 ×

        = 2+1

E (Y) = 3

7 0
3 years ago
Anty was riding his bike to school at a speed of 12 mph. When he was of the way there, he got a flat tire. His mother drove him
NemiM [27]

Complete question:

Anty was riding his bike to school at a speed of 12 mph. When he was <u>half </u>of the way there, he got a flat tire. His mother drove him the rest of the way at a speed of 48 mph. What was his average speed?

Answer:

His average speed is 19.2 mph

Step-by-step explanation:

Given;

speed of Anty to school half of the way, v₁ = 12 mph

speed of Anty when his mother drove him half of the way, v₂ = 48 mph

The average speed of Anty is calculated as;

V_{average} = \frac{Total \ distance }{Total \ time }

The value of the average speed is closer to 12 mph than 48 mph because Anty spent more time moving at 12 mph than at 48 mph.

Let the equal distance travel at each speed = 96 miles

Time taken at 12 mph = \frac{96 \ mile}{12 \ m/h} = 8 \ hours

Time taken at 12 mph = \frac{96 \ mile}{48 \ m/h} = 2 \ hours

Average speed = \frac{Total \ distance}{Total \ time } = \frac{96 \ mile \ + \ 96 \ mile}{2\ hr \ + \ 8\ hr} = \frac{192 \ miles}{10 \ hrs} = 19.2 \ mph

Also, you can assume any other equal distance traveled at each speed, the average speed will still be 19.2 mph.

<u>Check:</u> let the equal distance traveled at each speed = 480 miles

Time taken at 12 mph = 480/12 = 40 hours

Time taken at 48 mph = 480/ 48 = 10 hours

Average speed = (480 + 480) / (40 + 10)

                          = 19.2 mph

8 0
2 years ago
Andrew needs a ladder to hang hoilday lights. His house is 24ft tall and he has a flower bef that extends 4 ft out from the side
elena-14-01-66 [18.8K]

Answer: 24.33\ ft

Step-by-step explanation:

You need to draw a Right triangle as the one attached, where "x" is the lenght of a ladder Andrew will need to reach the top and be out of the flower bed.

You must apply the Pythagorean Theorem. This is:

a^2=b^2+c^2

Where "a" is the hypotenuse and "b" and "c" are the legs of the Right triangle.

If you solve for "a", you get:

a=\sqrt{b^2+c^2}

In this case, you can identify in the figure that:

a=x\\\\b=24\ ft\\\\c=4\ ft

Therefore, knowing those values, you can substitute them into  a=\sqrt{b^2+c^2} and then you must evaluate, in order to find the value of "x".

This is:

x=\sqrt{(24\ ft)^2+(4\ ft)^2}\\\\x=24.33 ft

5 0
3 years ago
Check whether the given number is a solution of the equation or inequality. 9+4y=17;1
uranmaximum [27]

Answer:

9 + 4(1) \neq \\ 17

Step-by-step explanation:

to satisfy inequality

9 + 4(1) < 17

13 < 17

6 0
2 years ago
Other questions:
  • Graph
    10·1 answer
  • What is the ration of 8/4
    10·2 answers
  • Three times the quantity five less than x, divided by the product of six and x
    10·1 answer
  • When using the least squares method, the line of best fit is the line that ? . A. minimizes the total area of the error squares
    6·1 answer
  • What is the length of stack E C with bar on top in the rectangular prism? Round your answer to the nearest tenth.
    5·2 answers
  • In the cafeteria 100 milk cartons put out for breakfast. At the end of breakfast 27 remained
    12·2 answers
  • What is the answer to this?
    11·1 answer
  • John is buying food at the grocery store. He has made a list of 90 items that he needs to buy. He has bought 1/6 of the items. H
    11·1 answer
  • PLEASE HELP!! Proving the Parallelogram Side Theorem in Geometry B on edg.
    12·1 answer
  • What is the value of the expression? 28 – 16 ÷ 8 – 4 3 8 22 24
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!