1. A system of equations is shown below. Find the solution by using substitution.
y = 3x - 2
y = x + 2

Answers

Answer 1

Answer:

x = 2

y = 4

or (2 , 4)

Step-by-step explanation:

Since both equations are equal to y we can substitute one of the equations to fill in the spot of y so that both equations are equal to each other with no y variable.

[tex]3x-2 = x+2\\[/tex]

Now we can solve x.

[tex]3x= x+4\\[/tex]

[tex]2x = 4\\[/tex]

x = 2

Now that we have solved for one variable we can plug this back into either equation and solve for y.

[tex]y = 2 + 2\\[/tex]

y = 4


Related Questions

How can I Simplify -(x+5)+3x

Answers

Answer:

2x - 5

Step-by-step explanation:

Distribute the negative sign outside of the parentheses first to get

-x -5 + 3x

Combine like terms

= 2x - 5

Answer:

2x-5

Step-by-step explanation:

=-(x+5)+3x

=-x-5+3x  opening brackets

=-x+3x-5

=2x-5

there are two spinners. spinner A has 2, 4, 6 on it. spinner B has 3, 6 and 9 on it. wat is the probability of scoring more than 3

Answers

Answer:

5/6

Step-by-step explanation: im not sure if this is right...?

Find the quotient/correct answer

Answers

Answer & Step-by-step explanation:

In the problem, we are asked to find the quotient. The quotient is the number that we get once we divide two numbers.

We are asked to find the quotient of 9⁵ ÷ 9⁵.

When a number is divided by itself, then the answer is always going to be 1.

So, the quotient of 9⁵ ÷ 9⁵ is going to be 1.

Just need help with question A

Answers

Answer:

Y = 0

Step-by-step explanation:

Y = -1/2 x²

To find y-intercept, substitute X = 0

Solve the equation for y

Y = 0

Y=0 is the answer hope this helps

Can ya help me on this ??! I need this for today i’ll fr cashapp you money the instant that you do this like im mad desperate !!!

Answers

Answer:

En la imagen te la dejo jajaa

two consecutive negative integers have a product of 110 . what are the integers?

Answers

-10,-11. They are consecutive and have a product of 110

Find the percent increase in volume when 1 foot is added to each dimension of the prism. Round your answer to the nearest tenth of a percent.

Answers

Answer:

hi this is my old account

Step-by-step explanation:

At a sale , dresses were sold for 35% of their original price. If the dresses originally cost 40$ each how much did a dress cost on sale

Answers

Answer:

$ 14

Step-by-step explanation:

$ 40   --- 100%

$ x    --- 35%

x = 40*35/100 = 14

What is the base of a triangle that has an area of 60 square centimeters and a height of 8 centimeters?
A 7.5 cm
B 30 cm
C 52 cm
D 15 cm

Answers

Answer:

I think its (A)

Step-by-step explanation:

To find the area you have to multiply (b*w)*h

and if the area is 60 you just have to divide by the height to get the base area.

60/8=7.5

Hope this helps :3

Mr. Smith tells you that a right triangle has a hypotenuse of 19 and a leg of 10. He asks you to find the other leg of the triangle. What is your answer?

Answers

Answer: Since it is not a perfect square my answer is the square root of 261 or 16.16  which is rounded to the nearest hundredth.

Step-by-step explanation:

10^2 + b^2 = 19^2

100  + b^2 =  361

-100              -100

b^2 = 261

b= [tex]\sqrt{261}[/tex]

Classify ∠COB in the image below as either Acute, Obtuse, Right, or Straight.

Answers

Answer:

obtuse

Step-by-step explanation:

The measure of ∠COB is 140° which is greater than 90° but less than 180° so it's an obtuse angle.

Angle COB is 140 degrees, which is Obtuse

Obtuse means between 90 degrees and 180 degrees, exclusive.

Mr. Green’s lawnmower holds 600milliliters of gasoline in the tank. He just filled his 6-liter gas can at the station. How many times will he be able to fill his lawnmower tank from the gas can

Answers

Answer: 10 times

Step-by-step explanation:

1 litre = 1000 ml

6 litres = 6000 ml

Lawnmover holds 600 ml

So 6000 ml will fill

6000/600 = 10 times

help please, i will mark brainliest

Answers

Answer:

40

Step-by-step explanation:

We can see that at 1 minute there is 40 beats, at 2 minutes there is 80 beats, at 3 minutes there is 120 beats, at 4 minutes there is 160 beats and at 5 minutes there is 200 beats. If we divide each of the beats by its corresponding minute we will get 40

40 beats at 1 minute → 40 ÷ 1 = 40

80 beats at 2 minutes → 80 ÷ 2 = 40

120 beats at 3 minutes → 120 ÷ 3 = 40

160 beats at 4 minutes → 160 ÷ 4 = 40

200 beats at 5 minutes → 200 ÷ 5 = 40

(6m^5+3-m^3-4m)-(-m^5+2m^3-4m+6)=

Answers

Answer:

Step-by-step explanation:

6m^5-2m^3-m^3-4m+4m+3-6

7m^5-3m^3-3

Answer:

[tex]7m^5-3m^3-3[/tex]

Step-by-step explanation:

[tex](6m^5+3-m^3-4m)-(-m^5+2m^3-4m+6)= \\\\(6m^5+m^5)+(-m^3-2m^3)+(-4m+4m)+3-6= \\\\7m^5-3m^3-3[/tex]

Hope this helps!

A=1/2(b1+b2)h What are equivalent equations

Answers

Answer:

       b1 + b2

A = ------------- * h

             2

Step-by-step explanation:

What you have here is fine as is, except that the "1/2" should be enclosed in parentheses:

A = (1/2)(b1 + b2)h.

Alternatively, write:

       b1 + b2

A = ------------- * h

             2

Find the volume of the pyramid.

Answers

Answer:

140

Step-by-step explanation:

B=35

1/3 (35)(12)

= 140

Triangle ABC has vertices at A(-4, -2), B(1, 7) and C(8, -2)

A) Determine the exact value of the area of Triangle ABC.

B) Determine the perimeter of Triangle ABC to the nearest tenth.

Answers

Answer:

a). Area = 54 square units

b). Perimeter = 33.7 units

Step-by-step explanation:

Vertices of the triangle ABC are A(-4, -2), B(1, 7) and C(8, -2).

(a). Area of the triangle ABC = [tex]\frac{1}{2}[x_{1}(y_{2}-y_{3})+x_{2}(y_{3}-y_{1})+x_{3}(y_{1}-y_{2})][/tex] (Absolute value)

By substituting the values from the given vertices,

Area = [tex]\frac{1}{2}[(-4)(7+2)+(1)(-2+2)+8(-2-7)][/tex]

        = [tex]\frac{1}{2}[-36+0-72][/tex]

        = [tex]\frac{1}{2}(-108)[/tex]

        = (-54) unit²

Therefore, absolute value of the area = 54 square units

(b). Distance between two vertices (a, b) and (c, d)

        d = [tex]\sqrt{(a-c)^{2}+(b-d)^2}[/tex]

     AB = [tex]\sqrt{(-4-1)^{2}+(-2-7)^{2}}[/tex]

           = [tex]\sqrt{106}[/tex]

           = 10.295 units

     BC = [tex]\sqrt{(1-8)^2+(7+2)^2}[/tex]

           = [tex]\sqrt{130}[/tex]

           = 11.402 units

     AC = [tex]\sqrt{(-4-8)^2+(-2+2)^2}[/tex]

           = 12 units

     Perimeter of the triangle = AB + BC + AC = 10.295 + 11.402 + 12

                                                                          = 33.697

                                                                          ≈ 33.7 units

Brainliest? Use the elimination method to solve the system of equations.

Answers

Answer:

A

Step-by-step explanation:

x+y=7

x-y=3

Firstly get x on its own.

You do this by adding the equations together. -y + y=0 (ethey cancel out but x+x=2x and 7+3=10

from this it shows us 2x=10

Now het x on its own by dividing by 2

this leaves us with x=5

Now input this into any of the two equations and you will get y.

For example,

5+y=7

7-5=y

y=2

input this into the equations (x,y)

which leaves us with...

(5,2)

Ms. Redmon gave her theater students an assignment to memorize a dramatic monologue to present to the rest of the class. The graph shows the times, rounded to the nearest half minute, of the first 10 monologues presented.

A number line going from 0.5 to 5. 0 dots are above 0.5 0 dots are above 1. 2 dots area above 1.5. 1 dot is above 2. 3 dots are above 2.5. 1 dot is above 3. 2 dots are above 3.5. 1 dot is above 4. 0 dots are above 2.5. 0 dots are above 5.

The next student presents a monologue that is about 0.5 minutes long. What effect will this have on the graph?

A. The median will decrease.
B. The mean will decrease.
C.The median will increase.
D. The mean will increase.

Answers

Let's see if we can recreate the histogram from the description.

Time count

0.5  0

1       0

1.5    2

2      1

2.5   3

3       1

3.5    2

4       1

4.5    0

5       0

The mean is between 2.5 and 3 so that will definitely decrease with a data point that's less that that, as 0.5 is.  

For 10 data points the median is the average of the 5th and 6th when sorted, and those are both 2.5.  When the new point is added the median will be the 6th of 11 points, still 2.5 in this story.

Answer: B  the mean will decrease

Answer:

B

Step-by-step explanation:

This is because the mean will decrease

7. A shopkeeper can buy 36 toys for $20.52. What will he pay for 120 toys

Step by step explansion ​

Answers

__________________________________

Hey!!!

Solution,

Cost of 36 toys=$ 20.52

Cost of 1 toy=20.52/36

=$0.57

Now,

Cost of 120 toys= 0.57*120

=$68.4

hope it helps

Good luck on your assignment

______________________________

Answer:

$68.4

Step-by-step explanation:

Let x represent the required cost.

Since the cost is directly proportional to the number of toys:

x : 20.52 = 120 : 36

i.e.     x/20.52 = 120/36

         x = [tex]\frac{120 * 20.52}{36}[/tex]

         x = 10 * 6.84

         x = 68.4

∴ The cost is $68.4.

Hope this helps!!

Help PLEASE!
Two distinct number cubes are rolled together. Each number cube has sides numbered 1 through 6.

What is the probability that the outcome of the roll is an even sum or a sum that is a multiple of 3?



Enter your answer, in simplest fraction form, in the box.

Answers

Answer:

The probability that the outcome of the roll is an even sum or a sum that is a multiple of 3

P( E∪F)  [tex]= \frac{24}{36}[/tex]

Step-by-step explanation:

Given Each number cube has sides numbered 1 through 6

Two distinct number cubes are rolled together

Total number of exhaustive cases n(S) = 36

Let 'E' be the event of getting sum is even

n(E) = {(1,3),(1,5), (2,2),(2,4),(2,6),(3,1),(3,3),(3,5),(4,2),(4,4), (4,6),(5,1),(5,3),(5,5),(6,2),(6,4),(6,6)} = 17

[tex]P(E) = \frac{n(E)}{n(S)} = \frac{17}{36}[/tex]

Let 'F' be the event of getting sum that is a multiple of '3'

n(F) = {(1,2),(1,5),(2,1),(2,4),(3,3),(3,6),(4,2),(4,5),(5,1),(5,4),(6,3),(6,6) = 12

[tex]P(F) = \frac{n(E)}{n(S)} = \frac{12}{36}[/tex]

n((E∩F) = {(2,4),(3,3),((4,2),(5,1),(6,6)} =5

[tex]P(En F) = \frac{n(En F)}{n(S)} = \frac{5}{36}[/tex]

The probability that the outcome of the roll is an even sum or a sum that is a multiple of 3

P( E∪F) = P(E) + P(F) - P( E∩F)

            [tex]\frac{17}{36} +\frac{12}{36} - \frac{5}{36} = \frac{24}{36}[/tex]

Which multiplication expression is equal to 2/3 ÷ 1/2

Answers

2/3 ÷ 1/2 = 1.33333333333 or 1.3 for short

-Peter

Answer:

2*2/3 = 4/3

Step-by-step explanation:

2*2/3 = 4/3

A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week. (2 points) A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 B: No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 C: Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 D: Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100

Answers

Answer:

A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Step-by-step explanation:

c = child bike

a = adult bike

Child bike requirement:

4 hours build time

4 hours test time

Adult bike requirement:

6 hours build time

4 hours test time

Available Building time per week ≤ 120 hours

Available Testing time per week ≤ 100 hours

Therefore, company's work schedule is;

Building:

4c + 6a ≤ 120

Testing:

4c + 4a ≤ 100

Combined:

4c + 6a ≤ 120 and 4c + 4a ≤ 100

Building 20 Child bike and 6 adult bike in a week:

4(20) + 6(6) ≤ 120 and 4(20) + 4(6) ≤ 100

80 + 36 ≤ 120 - - - - 80 + 24 > 100

Therefore Building 20 Child bike and 6 adult bike in a week is not feasible.

Answer:

Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Step-by-step explanation:

I took the test on FLVS

Which of the following is false?
A a child's age and the height of a child is a positive correlation
B none, since all of the other answer choices are true
C the number of hours a person studies and the numerical score on the
exam is a positive correlation
09
D the speed of a vehicle and the time it takes the vehicle to travel 60
miles is a positive correlation
09
09

Answers

Answer:

A

Step-by-step explanation:

A because the height and age are sometimes not proportional or ideal. Some kids don't develop due to health problems for example, which make them look smaller than normal. Other people might a conditions, which makes them grow to tall.

11) Type the missing number in this sequence:
49,
43,
37.
31,
19,
13

Answers

Sequence is take away 6 each time so the next three terms are....

7

1

-5

Answer:

7

Step-by-step explanation:

act

PLZ HELP 100 POINTS AND DONT BE MEAN

Answers

Answer:

Full drum 80 dollars

one lid missing

earn 10 dollars less

Step-by-step explanation:

We need to find the surface area

SA = 2 pi r^2  + 2 pi rh

The diameter is 2 so the radius = 2/2 =1

SA = 2 * pi * 1^2  + 2 * pi * 1 * 3

      = 2 pi + 6pi

      = 8pi

Using pi = 3.14

SA = 8 *3.14 = 25.12 ft^2

We get 3.18 per ft^2

25.12 * 3.18 =79.88

To the nearest dollar

80 dollars

If one of the lids is missing

SA =  pi r^2  + 2 pi rh

        pi + 6pi

        7 pi

Using pi = 3.14

SA = 7 *3.14 = 21.98 ft^2

We get 3.18 per ft^2

21.98 * 3.18 =69.90

To the nearest dollar

70

The difference is 10 dollars

Answer:

[tex]\Huge \boxed{\mathrm{a) \ \$ \ 80}} \\\\\\\\ \Huge \boxed{\mathrm{b) \ \$ \ 10}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

Surface area of the cylinder :

2πr² + 2πrh

The diameter is 2 ft, so the radius is 1 ft.

⇒ 2π(1)² + 2π(1)(3)

⇒ 8π ≈ 25.13

$3.18 is getting payed per square foot.

⇒ 25.13 × 3.18

⇒ 79.9221171073 ≈ 80

If the lid was missing:

πr² + 2πrh

π(1)² + 2π(1)(3)

7π ≈ 21.99

$3.18 is getting payed per square foot.

⇒ 21.99 × 3.18

⇒ 69.9318524689 ≈ 70

The difference :

80 - 70 = 10

$10 less if the lid is missing.

[tex]\rule[225]{225}{2}[/tex]

Write Successor of 999 please help me ​

Answers

Answer:

1000

Step-by-step explanation:

The successor of 999 is 1000

999+1=1000

SUCCESSOR

The number which comes immediately after a particular number is called its successor.  The successor of a whole number is the number obtained by adding 1 to it.  Clearly, the successor of 0 is 1; successor of 1 is 2; successor of 2 is 3 and so on.

Use the figure below to complete the following problem Given : R,S,T are midpoints of AC, AB, and CB.

Answers

Answer:

RT || AB

Step-by-step explanation:

The answer to your question is that segment RT is parallel to AB.

And for those of you who encounter AB || ?

The answer is RT.

Both questions are rewrites.

RT || AB if R and T are the midpoints of AC and BC. Then the correct option is C.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

R, S, and T are midpoints of AC, AB, and CB.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

A line is parallel to the right side if it divides any two triangles sides in a similar ratio.

RT || AB if R and T are the midpoints of AC and BC. Then the correct option is C.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ5

GUYS PLEASE HELP!!!!! WILL GIVE BRAINLIEST FOR BEST ANSWER!!!!

(a) Consider the following statement:
The dress is yellow.
Check all the statements below that are negations of this statement.
It is not the case that the dress is yellow
The dress is not blue
The dress is multicolored
(b) Consider the following conditional statement:

If Mary is wearing tennis shoes, then Mary has been exercising.

What is the conclusion of this statement?
Mary is not wearing gym shorts
Mary has never exercised
It is not true that Mary is wearing gym shorts
Mary is wearing tennis shoes
Mary has been exercising

Answers

Answer:

a) It is not the case that the dress is yellow

a) The dress is multicolored

b) Mary has been exercising

step-by-step explanation:

The saying negates that the dress is yellow and saying the dress is multicolored implies that the dress is not just one color or just yellow.

For part b, the condition is, is Mary wearing tennis shoes. The conclusion then is that Mary has been exercising because she is wearing tennis shoes.

Bus leaves 9:30a.m.The journey takes 26h 20 min. What time will they arrive

Answers

Answer:

They will arrive at 11:50 am the next day

Step-by-step explanation: 24 hours is a day so add 2 hours and 20 minutes

Answer:

11:50 a.m.

Step-by-step explanation:

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