Solve the simultaneous equations
2x + 3y = 6
7x – 2y = 1

Answers

Answer 1

Answer:

x=0.6, y=1.6

Step-by-step explanation:

Multiply the first equation by 2 and the second equation by 3, so we can cancel out the y terms:

4x+6y=12

21x-6y=3

Add these 2 equations together:

25x=15

x=0.6

Now, to solve for y, plug x back into any of the equations above:

2(0.6)+3y=6

1.2+3y=6

3y=4.8

y=1.6

Answer 2

Answer:

Below in bold.

Step-by-step explanation:

2x + 3y = 6             Multiply by 2:

7x – 2y = 1             Multiply by 3:

4x + 6y = 12

21x - 6y = 3              Adding:

25x = 15

x = 0.6.                      Substitute x = 0.6 into the first equation:

2*0.6 + 3y = 6

3y = 6 - 1.2 = 4.8

y = 1.6.


Related Questions

The cost of buying our Stats book online is represented by the 8 sample purchases (in dollars) below: 67.99 78.99 68.99 84.36 80.24 86 101.25 99.29 3. If I bought a book for both me and a friend, what's the chance that I would pay, on average, under $70 per book?

Answers

Answer:

2/8

Step-by-step explanation:

Cost of book 8 sample purchases  (in ascending order) : 67.99, 68.99, 78.99, 80.24, 84.36, 86, 99.29,  101.25

Chance (Probability) of paying under $70 = Favourable outcomes (<70)

                                                                          Total outcomes

= 2/8

Are the two triangles below similar? (1 point)


01) Yes; they have congruent corresponding angles
0 2) No; they do not have congruent corresponding angles
3) Yes; they have proportional corresponding sides
04) No; they do not have proportional corresponding sides

Answers

Answer:

Yes they jave proportional corresponding sides

The temperature dropped 2°C every hour for 8 hours. What was the total number of degrees the temperature changed in the 8 hours?

Answers

Answer: 16 degrees

Step-by-step explanation: degrees will be represented by d

2d*8= 16d

16 degrees

Answer: -14 degrees

Step-by-step explanation:

1

2-2

3-2

4-2

5-2

6-2

7-2

8-2

-------------------

-14 degrees

The table shows the battery life of four different mobile phones.


Mobile Phone Battery Life
Phone Battery Life
A 20
B 25
C 10
D 18


If 7.75% of the battery life of each mobile phone is used in a day by a typical user, for which mobile phone is 0.775 hour of battery life used in a day?
Phone A
Phone B
Phone C
Phone D

Answers

Answer:

1. B

2. D

hope this helped

Answer:

Probably phone C

Step-by-step explanation:

A scalene triangle is reflected over the x axis and then rotated 90° counter clockwise which composition of transformation and Will map the polygon back onto its original image

Answers

Answer: Rotate 90 degrees clockwise then reflect over the x-axis

Step-by-step explanation:

The GCF, greatest common factor, for 35 and 70 is:
O No answer text provided.
O No answer text provided.
O 5
O 35
O 70
o
None of the above

Answers

Answer: 35

Step-by-step explanation:

The answer would be 35

Find the theoretical probability.
Simplify completely.

Answers

Answer:

3/8

Step-by-step explanation:

Favorable outcome is 3

Total outcome is 8

P(1, 2, or 3) = [tex]\frac{3}{8}[/tex]

The theoretical probability is 0.375

We have given that, a diagram of the circle.

We have to find the theoretical probability and simplify the probability.

What is the formula for probability?

Theoretical Probability = Number of favorable outcomes / Number of possible outcomes.

The favorable outcome is 3.

The total outcome is 8

P(1, 2, or 3) = 3/8

The theoretical probability is 0.375

To learn more about theoretical probability visit:

https://brainly.com/question/8652467

#SPJ2

Find the unit rate: $7.40 for 5 pounds

Answers

Answer:

Step-by-step explanation:

7.40 for 5 pounds

7.40/5= 1.48 a pound

Apples and Pizza

1.Based on the information in the table, is the cost of the apples proportional to the weight of apples?

Pounds of apples / Cost of apples

2lbs $3.76
3lbs. $5.64
4lbs $7.52
5lbs. $9.40

Answers

Answer:

1.88

Step-by-step explanation:

2 divided by 3.76 is 1.88

and you get the same with all of the others

if f(x) = 3x-1 and g(x)= x+2 find (f-g)(x)​

Answers

Answer:

2x-3

Step-by-step explanation:

f(x) = 3x-1

g(x) = x+2

Find (f-g)(x), this means we need to subtract g from x.

(3x-1) - (x+2)

Subtract the like terms:

3x -x = 2x

-1 -2 = -3

Combine them to get 2x-3

What is the value of 1/2x^3+3.4y when x=4 and y=2 PLZ HELP. WILL GIVE BRAINLIEST TO RIGHT ANSWER​

Answers

Answer:

the answer is= 38.8  

Step-by-step explanation:

Answer:

what does the dot mean? so far without the .4y I got 9

Step-by-step explanation:

Match each table to its corresponding explicit formula.

Answers

Answer:

see attached

Step-by-step explanation:

The answer is in below picture

Answer:

First table = [tex]f (n)[/tex] = [tex]2[/tex] · [tex](4)^{n-1}[/tex]

Second table = [tex]f (n)[/tex] = [tex]3[/tex] · [tex](2)^{n - 1}[/tex]

Third table = [tex]f (n)[/tex] = [tex]2[/tex] · [tex](6)^{n - 1}[/tex]

I hope this helps you.

Plz help me !!! I will cash app you !!! Plz help meeee ❤️

Answers

Answer:

9. A  10. D

Step-by-step explanation:

9.          99.60 divided by 8

             $12.45/book

10. 288/80

     3.6

3.6 times 10 cookies

36 grams

Answer:

1. (A) 12.45 2. (D) 36

Step-by-step explanation:

find the value of x​

Answers

Answer:

6x = 360-138

x= 222/6

x= 37°

Answer:

x = 42˚

Step-by-step explanation:

1) Find the angle shared by 138˚. 180-138 = 42˚.

2) Now we know that one of the angles in the pentagon is 42˚.

3) the other opposite angle is 138˚ as well.

Hopefully this makes sense! I attached a picture below.

7. The bottom of a river makes a V-shape that can be modeled with the absolute value function,

d(h) = 1/6 |h – 300| - 50 where d is the depth of the river bottom (in feet) and h is the horizontal distance to the left-hand shore (in feet). A ship risks running aground if the bottom of its keel (its lowest point under the water) reaches down to the river bottom. Suppose you are the harbor master and you want to place buoys where the river bottom is 20 feet below the surface. If one buoy is to be placed 120 feet away from the left shore, how far should the second buoy be placed form the left shore?

(Note: A buoy is an anchored float serving as navigation mark, to show reefs or other hazards to guide ships.)

Answers

Answer:

If one buoy is placed 120 feet away from the left shore, then the distance of the second buoy from the left shore = 480

Step-by-step explanation:

Given that:

The absolute value function:

[tex]d(h) = \dfrac{1}{6}|h - 300| - 50[/tex]

To calculate the position of the buoy where the river bottom is 20 feet below the surface, we equate the absolute value function to the negative value of 20 feet and then solve it for h.

d(h) = -20

[tex]d(h) = \dfrac{1}{6}|h - 300| - 50 = -20[/tex]

Let us add the sum of 50 on both sides, then:

[tex]= \dfrac{1}{6}|h - 300| - 50+50 = -20+50[/tex]

[tex]= \dfrac{1}{6}|h - 300| = 30[/tex]

By multiplying 6 on both sides, we have:

|h - 300| = 30 (6)

|h - 300| = 180

We can attempt the above expression by rewriting it as two equations:

h - 300 = 180   or     h  - 300  = - 180

Let us add 300 to both sides from the two expressions above:

h - 300 + 300 = 180 + 300     or   h - 300 + 300   = -180  + 300

h = 480     or  h = 120

Thus, if one buoy is placed 120 feet away from the left shore, then the distance of the second buoy from the left shore = 480

[tex]\mathbf{d(h) = \frac 16|h - 300| - 50}[/tex] is an illustration of an absolute function.

The buoy should be placed at 480 feet from the left shore

The function is given as:

[tex]\mathbf{d(h) = \frac 16|h - 300| - 50}[/tex]

To place a buoy at 20 feet below, means d(h) = -20

So, we have:

[tex]\mathbf{-20 = \frac 16|h - 300| - 50}[/tex]

Add 50 to both sides

[tex]\mathbf{30 = \frac 16|h - 300|}[/tex]

Multiply both sides by 6

[tex]\mathbf{180 = |h - 300|}[/tex]

Remove absolute bracket

[tex]\mathbf{h - 300 = -180}\ or\ \mathbf{h - 300 = 180}[/tex]

Make h the subject

[tex]\mathbf{h = 300-180}\ or\ \mathbf{h = 300+180}[/tex]

[tex]\mathbf{h = 120}\ or\ \mathbf{h = 480}[/tex]

This means that, the buoy should be placed at 480 feet from the left shore

Read more about absolute functions at:

https://brainly.com/question/1389494

how do I get the answer for this quadratic equation in simplest form?
[tex]4( x - 7)^2 - 48 = 12[/tex]

Answers

Answer:

x = 7 ± [tex]\sqrt{15}[/tex]

Step-by-step explanation:

Given

4(x - 7)² - 48 = 12 ( add 48 to both sides )

4(x - 7)² = 60 ( divide both sides by 4 )

(x - 7)² = 15 ( take the square root of both sides )

x - 7 = ± [tex]\sqrt{15}[/tex] ( add 7 to both sides )

x = 7 ± [tex]\sqrt{15}[/tex]

HELP ASAPPPPP 5 POINTSSSSS

Answers

Answer:450

Step-by-step explanation:

first subctract then add

Answer:

The answer is C. The vertex is (-1,-12)

Step-by-step explanation:

10 points!!!
Evaluate. 5 + |1 - 4| (3 - 6)^2 /3
A. 6
B. 11
C. 14
D. 24

Answers

Answer:

The answer from using a graphing calculator would be B because I had gotten 11.24025147 and that would round up to 11

Step-by-step explanation:

I would suggest that you use your graphing calculator for this or calculator.

justin and his friends dan went to the movies if they each bought popcorn for $4.25 and soda for $2.25 what was their total bill after adding 5% of sales tax

Answers

Answer:

Step-by-step explanation:

4.25+2.25=6.50 per person

6.50*2 people= 13.00

13.00*5% tax=0.65 tax

13.00+.65= 13.65

Answer:

Step-by-step explanation:

4.25 x 2 + 2.25 x 2 = 13

Convert 5% into a decimal ( 0.05)

0.05 x 13 = 0.65

0.65 + 13 equals 13.65

Simplify: 3(4x-5) - (3x+2)

Answers

Answer:

Step-by-step explanation:

3(4x-5)-3x+2 work the ()

12x-15-3x+2 combine like terms

9x-13

Round 90.2844097979 to 3 decimal places.

Answers

Answer:

It would be 90.284.

Step-by-step explanation:

Which of the following correctly represents the given
data in the problem?
A survey of 80 students found that 24 students both play
in the band and play a sport. But 22 students are not in
band and do not play a sport. There are 48 students in
the band. If being in band is the row variable and playing
sports is the column variable, fill in the labels the table.
a = 24, g = 48, h = 22, i = 80
a = 22, c = 80, d = 24, í = 48
a = 24, b = 48, c = 22, i = 48
Play a
Sport
Do Not
Play a
Sport
Total
a=24, c = 48, e = 22, i = 80
In Band
a
b
c
Not in Band
d
e
f
Total
g
h
i

Answers

Answer:34 play sports; 46 don't play sports

Step-by-step explanation:

80 total students

48 in band

24 band and sport

24 band only

22 neither

10 sports only

80-22 = 58 participants

58-48 = 10

24 both + 10 sports only = play 34 sports

80-34 = 46 don't play sports

Answer:

it's D

Step-by-step explanation:

I just answered the question! Get that grade up :)

Which equation represents a line that passes through the point (6,-3) and is parallel to the graph y=3x+1

Answers

Answer:

y = 3x + 6

Step-by-step explanation:

To make the equation we'll use the form y = mx + b, where m is the slope and b is the y-intercept. When a line is parallel to another, both lines have the same slope, so the slope of the equation will be 3. Now that we know the slope, we can input the point (6, -3) into the equation to solve for the y-intercept:

y = mx + b

y = 3x + b

-3 = 3(-3) + b

-3 = -9 + b

Add 9 to both sides to isolate the b:

-3 + 9 = -9 + 9 + b

6 = b

The y-intercept is 6. Let's put that into our equation:

y = 3x + 6

Now we have our answer :)

ANSWER ASAP!! DUE SOON! ONLY ANSWER IF YOU ARE CORRECT, I CANNOT GET THIS WRONG!!!

Answers

Answer:63 degrees

Step-by-step explanation:

90-27=63

What is the answer to
-100%+0.58= ?

Answers

Answer:

-0.42

Step-by-step explanation:

Answer: -0.42

Step-by-step explanation:

Help please I’m being timed

Answers

well u have to show the 2 points

Help me complete this table please

Answers

Answer:

x        -6         3        15       -12

y        11         5         -3        15

Step-by-step explanation:

Domain of a function represents the set of x-values (input values) and y-values (output values) of the function represent the Range of the function.

Given function is,

[tex]y = -\frac{2}{3}x +7[/tex]

If Domain (input values) of this function is,

{-12, -6, 3, 15}

Table for the input-output values of this function,

x        -6         3        15       -12

y        11         5         -3        15

At a sale, coats were sold for $118 each. If the coats originally cost $200 each, what percentage of its original price was a coat sold for?

Answers

rAnswer:

Step-by-step explanation:

20$

Guyyyy Please help I have no idea what the answer is

Answers

Answer:

Step-by-step explanation:

x = 90 - 54 = 36

Answer:

x = 36

Step-by-step explanation:

The sum of all the angles in a triangle is 180

Add the known angles together

54 + 90 = 144

then subtract 180 and 144 to find x

180 - 144 =36

answers please needed for school obviously

Answers

Answer:

y=6x+30

Step-by-step explanation:

y is the total temperature

6x is the increase of temperature by 6° per x hours

30 is the y-intercept, you start with this number

9514 1404 393

Answer:

y = 30 + 6xsee below for a graph

Step-by-step explanation:

The increase in temperature is the product of the increase per hour and the number of hours: 6x.

The temperature at any time is the sum of the initial temperature (30°) and the increase (6x).

  y = 30 + 6x . . . . . temperature equation

__

This is graphed as a line with an initial value of 30 and a slope of 6. (Note the attached graph has different grid line spacing vertically than horizontally.)

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