I need to figure out how many solutions does the system of equations below have.
y=6/7x-8 and y=7/9x+10/9

Answers

Answer 1

Answer:

The system has one solution.

Step-by-step explanation:

To find the number of solutions of the system, we equal both equations for y.

If we have ax = b, in which both a and b are different of 0, we have one solution.

If both a and b are 0, we have infinite solutions.

If a is 0 and b is not, there are no solutions.

y=6/7x-8 and y=7/9x+10/9

So

[tex]\frac{6x}{7} - 8 = \frac{7x}{9} + \frac{10}{9}[/tex]

[tex]\frac{6x}{7} - \frac{7x}{9} = \frac{10}{9} + 8[/tex]

[tex]\frac{54x - 49x}{63} = \frac{10}{9} + \frac{72}{9}[/tex]

[tex]\frac{5x}{63} = \frac{82}{9}[/tex]

[tex]45x = 63*82[/tex]

Both a and b are different of 0, so the system has one solution.


Related Questions

5.7 x 10 to the power of 1


5.7 x 10 to the power of 2


5.7 x 10 to the power of 3

Answers

Answer:

idontk nowthis is half a        ss

Step-by-step explanation:

If you roll two six-sided dice, what is the probability that at least one dies shows a 5 ?

Answers

Answer:

[tex]\frac{11}{36} = 0.3056[/tex] probability that at least one dies shows a 5.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Each dice:

6 sides, one of which is 5.

So 6-1/6 = 5/6 probability of rolling a 5.

Probability of not rolling a five in two rolls:

(5/6)^2 = 25/36

Probability of rolling a five in at least one of the rolls:

[tex]p = 1 - \frac{25}{36} = \frac{36}{36} - \frac{25}{36} = \frac{11}{36} = 0.3056[/tex]

[tex]\frac{11}{36} = 0.3056[/tex] probability that at least one dies shows a 5.

The line plot below shows the amount of water, in liters, in 4 equal-sized containers

How many liters of water will each container have if the total amount is distributed equally among the 4 containers?

PLS HELP

Answers

Answer: multiply and estimate

Step-by-step explanation:

Answer:

the answer is : a

Step-by-step explanation:

Find the total surface area of the number
cube.
2 in.
2 in.
2 in.

Answers

Answer: 24 Inches

Step-by-step explanation:

The formula for the volume of a pyramid is V=1/3 Bh. What is h expressed in in terms of B and V?

Answers

V = 1/3 * B * h     /*3

V * 3 = B * h       /B

V * 3 / B = h

h = V * 3 / B

Amar thinks of a number If he takes away 6 from ⅔ ? of number, the result is
22. Find the number.​

Answers

Let's assume the number as x

According to the question,

2/3x-6=22

2x-6=22×3

2x= 66-6

2x=60

x=60/2=30

Therefore, as x=30, The number is 30 itself.

There is a spinner with 10 equal areas, numbered 1 through 10. If the spinner is spun
one time, what is the probability that the result is a multiple of 5 or a multiple of 2?

Answers

Answer:

3/5

Step-by-step explanation:

In the numbers 1 thru 10, there are 5 multiples of 2 (2, 4, 6, 8, 10) and 2 multiples of 5  (5, 10).  Since you cannot count 10 twice, there are 6 possibilities (2, 4, 5, 6, 8, 10)

So the probability of spinning a multiple of 2 or 5 is 6/10 = 3/5

Answer:2/10 probabilty for the multiple of 5 and a 5/10 or 50% chance that it will be a multiple of 2

Step-by-step explanation: 10 areas, there are 2 multiples of 5,( 5 and 10 )and there is a 2/10 chance of landing on landing 5 or 10 because there are 2 multiples of 5. There are also 5 multiples of 2, (2, 4, 6, 8, 10) 5/10 chance because there are 5 multiples out of 2

Please answer quickly

Answers

add the exponents together
so 9^12

Answer:

B

Step-by-step explanation:

1. Combine exponents

9^4 * 9^8 = 9^12

If you answer correctly you get one of those crown things

Answers

Answer:

CDBE

Step-by-step explanation:

If you add angle CD and BE together it would be CDBE

7x + 2x^2 + 3x^2 - 2x

Answers

Answer:

5^2+5

Step-by-step explanation:

There you go :)

5^2+5
Bye bye!!:00000

The midpoint of AB is M. If the coordinates of M are
(1/2, -2) and the coordinates of B are (6, 1), what are the coordinates of A?

Answers

9514 1404 393

Answer:

  A = (-5, -5)

Step-by-step explanation:

Solving ...

  M = (A +B)/2

for A, you find ...

  A = 2M -B

  A = 2(1/2, -2) -(6, 1) = (1-6, -4-1)

  A = (-5, -5)

What is the right way to use substitution method?​

Answers

Answer:

Step-by-step explanation:

Substitution method can be applied in four steps. Step 1: Solve one of the equations for either x = or y = . Step 2: Substitute the solution from step 1 into the other equation. Step 3: Solve this new equation Happy too help!

What is the slope of line help please pleaseeee

Answers

Answer:

3/2

Step-by-step explanation:

Slope = rise / run

Rise: 3

Run: 2

Slope = 3/2

Answer:

Awnser: the slope is y=-3/1

Shawna worked out for a total of 20 hours last month. The circle graph shows how Shawna
divided her time during her workouts last month.
Shawna's Workout Time
Rowing
machine
Weights
30%
Exercise bike
10%
Treadmill
40%
Based on the circle graph, for how many hours did Shawna use the rowing machin

Answers

Answer:

she spent 4 hours rowing

Step-by-step explanation:

the missing percent is 20, so she spent 20% of 20 hours rowing

this comes out to 4 hours

What is the volume of a sphere with a radius of 21 units?
O A. 9261 7 units
O B. 12,348 units3
O C. 5887 units
D. 37,04477 units3

Answers

Answer: D

Step-by-step explanation:

The volume of the sphere is 12,348 cubic units.

Option B is the correct answer.

What is a sphere?

It is a three-dimensional figure.

The formula for the volume of a sphere is given by V = (4/3)πr³,

We have,

The formula for the volume of a sphere is given by V = (4/3)πr³,

where r is the radius of the sphere and π is a constant approximately equal to 3.14.

Substituting the value of r = 21 units, we get:

V = (4/3)π(21)³

V = (4/3)π(9261)

V = 154(3)(7²)

V = 22,562π cubic units (using 22/7 as an approximation of π)

Rounding to the nearest whole number, the volume of the sphere is approximately 12,348 cubic units.

Thus,

The volume of the sphere is 12,348 cubic units.

Learn more about Sphere here:

https://brainly.com/question/12390313

#SPJ7

Omg!? Is 96 correct??

Answers

If you are finding the perimeter I believe you would just add up the four sides, getting 46

What is the area of the segment?

Answers

Answer:

The Area of a Segment is the area of a sector minus the triangular piece (shown in light blue here). There is a lengthy reason, but the result is a slight modification of the Sector formula: Area of Segment = θ − sin(θ) 2 × r2 (when θ is in radians) Area of Segment = ( θ × π 360 − sin(θ)2 ) × r2 (when θ is in degrees)

On Monday, the high temperature in Abilene was 75.6 degrees Fahrenheit and the high temperature in New York City was 54 degrees Fahrenheit. How many times greater was the high temperature in Abilene than the high temperature in New York on Monday?

Answers

Answer:

On monday,the high temperature in abilene was 75.6 degrees Fahrenheit and the temperature in New york city was 54 degrees Fahrenheit.How many times greater was the high tempareture in Abilene than the high temperature in New York on monday plz show your work

Step-by-step explanation:

Ariana invests $2,000 at a rate of 6% annual interest
compounded quarterly. Approximately how much is Ariana's
investment worth in 3 years?
I

Answers

Step-by-step explanation:

Compounded quarterly means n=4

John bought a video game that was 30% off. The game was originally $70. What was the sale price of the game?

Answers

Answer:

49 Dollars

Step-by-step explanation:

If you subtract 70- 30%, you get 49 dollars

Hope this helps =)

$49 because if you subtract 30% from $70 that’s what you get

please helppp Which ordered pairs lie on the line shown in the graph?
864
28
CLEAR
SUBMIT
(-2,- 6.5), (0, -0.5), (1, 2.5), (2, 5.5)
(-6.5, -2), (-0.5, 0), (2.5, 1), (5.5, 2)
(2,6,5), (0, 0.5), (-1, -2.5), (-2, -5.5)
(6.5, 2), (0.5, 0), (-2.5, -1), (-5.5, -2)
0

Answers

Answer:

I think a option is correct

Step-by-step explanation:

because they are point on the graph

-2,-6.5,(0,-0.5),(1,2.5),2,5.5)

what is the answer of4 ( 2x + 3) -2x

Answers

Answer:

x= 2

Step-by-step explanation:

Divide each term in

6

x

=

12

by

6

.

6

x

6

=

12

6

Cancel the common factor of

6

.

Tap for more steps...

x

=

12

6

Divide

12

by

6

.

x

=

2

WILL GIVE BRAINLIEST
sketch the graph of the following equation: y=|4-3x|

Answers

Answer:

attached

Step-by-step explanation:

y=|4-3x|    y: positive number

Based on your data, describe the relationship between age and the number of U.S. states a

person can name in 60 seconds.

I

Answers

Answer:

where is teh data?

Step-by-step explanation:

How to turn a percentage into a decimal

Answers

Answer:

Divide a percent by 100 and remove the percent sign to change it  from a percent to a decimal.

Step-by-step explanation:

1. Example: 9 % is 0.09

2. Example: 8% is 0.08

3 .Example: 10% will change to 10/100 =decimal 0.10

That how it work just follow the example

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{You have DIVIDE your GIVEN PERCENT by 100 because}\\\large\textsf{percentages runs out of 100}[/tex]

[tex]\large\textsf{Example }\downarrow[/tex]

[tex]\mathsf{\dfrac{75\%}{100}}[/tex]

[tex]\mathsf{= \dfrac{75}{100}}[/tex]

  [tex]\boxed{ \textsf{\bf 0.75}}\large\checkmark[/tex] ☑️

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]


The percentage increase on an item is 9 %. The old price is R455.00 Calculate the new
price.

Answers

Hubbub is g vu ok just in b by

1. Toni bought 5 t-shirt for $54 . They each cost the same . Also please tell me how to right it

Answers

Answer:

5 T-shirts = $54

10 T-shirts = $108

20 T-shirts = $216

I WILL MARK BRAINLIEST!! What is the value of x in this triangle?

Answers

Answer:

x = 2

Step-by-step explanation:

Answer:  x = 8

=============================================================

Explanation:

The tickmarks tell us which sides are the same length. This in turn tells us that points N and O are midpoints of LJ and LK respectively (since midpoints cut a segment in half). We consider segment NO to be a midsegment.

Recall that midsegments are half as long as the side they are parallel to. That means segment NO is half as long as JK. This reverses to segment JK being twice as long as segment NO.

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

JK = 2*(NO)

2x+8 = 2*(12)

2x+8 = 24

2x+8-8 = 24-8 .... subtract 8 from both sides

2x = 16

2x/2 = 16/2 ...... divide both sides by 2

x = 8

If x = 8, then 2x+8 = 2*8+8 = 16+8 = 24. This shows that segment JK is 24 units long which is double that of midsegment NO being 12 units long. This confirms we have the correct x value.

Pls help with this question. It is due today!

Answers

Answer: B

Step-by-step explanation:

Stephanie bought a chair for $124.00. The finance charge was $24 and she paid for it over 12 months. (Finance Ch arg e: #Months)(12) Use the formula Amount Financed calculate her approximate APR. Approximate APR to Round the answer to the nearest tenth.
O 20.5%
O 19.4%
O 1.6%
O 1.5%​

Answers

20.5% im not sure about that
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