5x + 2y = 8
-4x + 10y = 40

Answers

Answer 1

Answer:

(0, 4 )

Step-by-step explanation:

5x + 2y = 8 → (1)

- 4x + 10y = 40 → (2)

multiplying (1) by - 5 and adding to (2) will eliminate y

- 25x - 10y = - 40 → (3)

add (2) and (3) term by term to eliminate y

- 29x = 0 , then

x = 0

substitute x = 0 into (1) and solve for y

5(0) + 2y = 8

0 + 2y = 8

2y = 8 ( divide both sides by 2 )

y = 4

solution is (0, 4 )


Related Questions

Activity 2
use the given information of triangle ACB to find the six trigonometric ratios.​

Answers

Answer:

1. b/c        4. c/b

2. a/c       5. c/a

3. b/a       6. a/b

Step-by-step explanation:

sin theta = opposite/hypotenuse    = b/c

cos theta = adjacent/hypotenuse   = a/c

tan theta= opposite/adjacent          = b/a

For the rest, you just flip it:

csc theta  = c/b

sec theta = c/a

cot theta = a/b

(50 points) need help with khan practice geometry

Answers

The awnser is 60 because

It is a cube so it has the smae amout of sides

What is the value of this expression?

4+3×(8−2)+4

(1) 26

(2) 30

(3) 46

(4) 70

Answers

it’s 26 first you subract 8-2 then multiply it by 3 and just combine any like terms

Answer:

[tex]\Longrightarrow: \boxed{\sf{26}}[/tex]

Step-by-step explanation:

Use the order of operations.

PEMDAS stands for:

ParenthesesExponentsMultiplyDivideAddSubtract

4+3(8-2)+4

First, solve parentheses.

(8-2)=6

Rewrite the problem down.

4+3*6+4

Multiply the numbers from left to right.

3*6=18

4+18+4

Add the numbers from left to right.

4+18=22

22+4=26

[tex]\Longrightarrow: \boxed{\sf{26}}[/tex]

Therefore, the correct answer is 26.

I hope this helps! Let me know if you have any questions.

Giving brainliest to best answer! I need both of these done by 10:50! Pls help!

Answers

Answer:Option BOption ASolution:Multiply the numerator of the first fraction times the numerator of the second fraction:2•4=8Same with the denominators:8•5=40Hence, the fraction is 8/40.Now, let's simplify the second pair of fractions:2•3=66•5=30Answer: 6/30

Hope it helps.

Do comment if you have any query.

romina has a maximum of 90 minutes to make traditional mexican paper flowers she spends 15 minutes watching videos on how to make flowers then it takes her 3 minutes to do each flower romina writes the inequality 15 + 3f <90 to repesent the number of flowers F she has to make

Answers

Answer:

f<25, she can make less than 25 flowers to have enough time, (I think the inequalitie sign should have a line underneath it tho meaning, less than or equal to 25 flowers, which would only make sense)

Step-by-step explanation:

First you need I subtracted 15 from 90 which got me 75.

15 + 3f<90

-15       -15

_________

0           75

3f<75

__

3f  

75 divided by 3f= 25

a || b - Find x

Help please.​

Answers

Answer:

I think it is 142 I'm not sure if it's right or wrong

Triplets Peter, Reeta and Nikita have two ways for getting home from school each day: cycle on a tandem bike or walk. The bike can carry either one or two riders at a time. Regardless of the number of people pedalling, cycling speed is 5 times walking speed. The triplets always leave school at the same time and always use the same path between school and home, whether walking or cycling. The school is 5km from home and their walking speed is 4 kilometres per hour. A On Monday, Nikita and Peter cycle and Reeta walks. On reaching the point four-fifths of the way home the bike gets a puncture, so Nikita and Peter walk the rest of the way home. How far from school is Reeta when the cyclists arrive home?

Answers

The distance between Reeta and the school when the cyclists arrive the home for this case is found being 2 km

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

How to find the speed of an object?

If the object is going linearly, and at constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.

If the object traveled D distance in T units time, then that object's speed is

[tex]Speed = S = \dfrac{\: Distance \: traveled}{\: Time \: taken} = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]

Given that:

Distance from school to home = 5 kmWalking speed = 4 km / hoursCycling speed = 5 times walking speed = 20 km / hourThey all go and come together to and from school/home.On monday: Nikita and Peter are coming by cycle, and Reeta walks.Cycle punctures at four fifth of the way home = [tex]\dfrac{4}{5} \times 5= 4\: \rm km[/tex] from school (as they're coming towards home, so went from school)After puncture, cyclists walk to home

To find: Disance of Reeta from school when cyclist reach home.

Suppose at time 0 hours, all three people departed from school (on that monday).

After 't' hours, suppose the cycle gets punctured.

Then, as the cycle was going by 20 km / hour speed, so in 't' hours, it must have covered d kilometers (suppose),

then we get:
[tex]S = \dfrac{D}{T}\\\\20 = \dfrac{d}{t}\\\\d = 20 t \: \rm km[/tex]

This distance is measured from school. But we know that this distance is 4 km, so we get:

[tex]20t = 4\\t = \dfrac{4}{20} = 0.2 \: \rm hours[/tex]

The remaining 1 km (as home is 5 km away from school and 4 km is already traveled) is walked by Cyclists. And walking speed is 5 km / hour, so let they take T hours to travel that 1 km walking, then we get:
[tex]S = D/T\\\\5 = \dfrac{1}{T} \\\\T = 0.2 \: \rm hours[/tex]

So, total time cyclists took to reach home from school is: [tex]0.2 + 0.2 = 0.4 \: \rm hours[/tex]

Reeta is walking that whole 5 km.

The time the cyclist reached home, Reeta had walked for 0.4 hours as they had started at the same time, and it took cyclists 0.4 hours to reach home.

Thus, we have:

Time taken  0.4 hours, speed of Reeta = walking speed= 5 km/hour, then we get:

[tex]S = D/T\\D = ST\\D = 5 \times 0.4 = 2 \: \rm km[/tex]

So Reeta was 2 km away from school when cyclists reached home on that monday.

Thus, the distance between Reeta and the school when the cyclists arrive the home for this case is found being 2 km

Learn more about forming equations here:

https://brainly.com/question/11938672

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please pick right answer (show work) :( number 19

Answers

Answer:

2 cups

Step-by-step explanation:

5/8 + 11/ 8 = 16/8 = 2

HELP PLEASE WORTH A LOT OF POINTSSSSSSSSS!! SHOW YOUR WORK PLEASEEEEE!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Tan 70 = 16/x

x = 16/tan70

x = 5.824 to the nearest thousandth

tan 41 = 16 / (x + y)

tan 41 = 16 /(5.8235 + y)

tan41(5.8235 + y) = 16

5.8235 + y = 16/ tan41

y = (16/ tan41) - 5.8235

y = 12.582 to the nearest thousandth

Mr. Swift is traveling from his house to the history museum. How many meters will he travel to the museum?

Answers

If Mr. Swift is traveling from his house to the history museum. The number of meters will he travel to the museum is 6,400 meters.

Number of meters

Given:

Distance=6.4 Kilometres

Hence:

1 kilometre= 1,000 meters

Number of meters=6.4 kilometres x 1,000 meters

Number of meters =6,400 meters

Therefore the number of meters will he travel to the museum is 6,400 meters.

Learn more about number of meters here:https://brainly.com/question/870330

9n^2-10=890 solve by taking square roots

Answers

Answer:

n=3.3

Step-by-step explanation:

9n²-10=890    1. + 10 on both sides

9n² = 900

[tex]9n²[/tex]= 9n

[tex]900[/tex] = 30

9n=30  2. /9 on both sides

n=3.33

the 3's repeat

What is the distance from Point A to point D on the number line? Please help!

Answers

Answer:

5

Step-by-step explanation:

Hope this helps! Have a great day!

I need help with my math.

Answers

bottom right d a m n near

Jerry is inviting 8 people to her party. She would like for each guest to have 1/2 of a giant cookie. How many cookies will she need to buy?

Answers

4?
Explanation :
She wants them to have 1/2 of a giant cookie. 4 divided by 8 is equal to .5= 1/2
The answer is 4
Explanation- there are 8 people and plans to give 1/2 cookies to each, 8 decided by 2 =4

please help, thank you very much to whoever helps.​

Answers

Answer:

x = 20

B = 92°

C = 40°

Step-by-step explanation:

The sum of the interior angles of a triangle is 180°

⇒ A + B + C = 180°

⇒ 48 + (6x - 28) + 2x = 180

⇒ 48 + 6x - 28 + 2x = 180

⇒ 48 - 28 + 6x + 2x = 180

⇒ 20 + 8x = 180

⇒ 8x = 180 - 20

⇒ 8x = 160

⇒ x = 160 ÷ 8

⇒ x = 20

Now we have found x, simply substitute this into the expressions for angles B and C:

B = 6(20) - 28

   = 120 - 28

   = 92°

C = 2(20)

  = 40°

Answer:

x = 20

m<B = 92

m<C = 40

(m<A = 48)

Step-by-step explanation:

triangles are 180 degrees

add up the sides

48 + (6x-28) + 2x

8x + 20 = 180

8x = 160

x = 20

put 20 where the x is for B and C

B.

6(20)-28 =

120 - 28 =

92

C.

2(20) =

40

Instructions: Find the measure of the indicated angle.

Answers

Answer:

42 degrees

Step-by-step explanation:

The measure of the indicated angle is 42 degree.

What is Isosceles Triangle ?

An isosceles triangle has two equal sides regardless of the direction the apex (or peak) of the triangle points. Some useful information regarding isosceles triangles is as follows:

It has two parallel sides.It has two equal angles, which are known as the basis angles.A right isosceles triangle is one in which the third angle is 90 degrees.

We have a Triangle.

Then, using Isosceles Triangle Theorem

Angles opposite an isosceles triangle's equal sides are also equal.

According to the isosceles triangle theorem, if two sides of a triangle are congruent, then the angles opposite the congruent sides are likewise congruent.

So, x= 42 degree.

Learn more about Isosceles Triangle Theorem here:

https://brainly.com/question/30066983

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solve for y 3x+6y=30

Answers

Answer:

the answer= y=5−x/2

Answer: [tex]y=-\frac{1}{2} x+5[/tex]

Step-by-step explanation:

We need to isolate y by itself

Step 1) Subtract 3x from both sides

[tex]3x+6y=30\\3x-3x+6y=30-3x\\6y=30-3x[/tex]

Step 2) Divide both sides by 6 to isolate y

[tex]6y=30-3x\\\frac{6y}{6} =\frac{30}{6}-\frac{3x}{6} \\y=5-\frac{1}{2}x[/tex]

A blood drive is being held at a local library. The coordinators of the drive wish to provide cylindrical cup of water to each participant. Each cup measures 5 inches tall with a radius

of 2 inches. How much water will each cup fold if filled to only 4 inches? Round to the nearest hundredth.

Answers

Answer:

50.24

Step-by-step explanation:

the formula to find a circle is radius times radius times pi, which equals 3.14.      The radius is 2 so radius times radius would be 4. Now u times it by pi so 4 times 3.14 equals 12.56. Do this times ur hight wich is times 4 and u come up with 50 .24

f

Please Help It Was Due Yesterday!!!!
What is the 8th term in the Sequence?
An=25-3n

Answers

Answer:1

Step-by-step explanation:

Answer:

a₈ = 1

Step-by-step explanation:

substitute n = 8 into the nth term rule

a₈ = 25 - 3(8) = 25 - 24 = 1

Solve the system of equations y = 2x^2 + x – 6 and y = 4

Answers

Step-by-step explanation:

Substitute y = 4 into the first equation:

[tex]4=2x^2+x-6[/tex]

Subtract 4 from both sides:

[tex]2x^2+x-10=0[/tex]

We can factor in order to find values of x.

Factor the equation:

[tex]2x^2+x-10=0[/tex]

Factors of 10 we'll use:

5 and 2.

[tex](2x+5)(x-2)=0[/tex]

Set the parentheses equal to 0 then find the values of x:

[tex](2x+5)=0[/tex]

[tex]x=-2\frac{1}{2}[/tex]

[tex](x-2)=0[/tex]

[tex]x=2[/tex]

[tex]x=2, \: or \: -2\frac{1}{2} .[/tex]

Check:

[tex]4=2(2)^2+2-6[/tex]

[tex]4=2(4)+2-6[/tex]

[tex]4=4 \: \checkmark[/tex]

[tex]4=2(-2\frac{1}{2} )^2-2\frac{1}{2} -6[/tex]

[tex]4=2(6\frac{1}{4})-2\frac{1}{2} -6[/tex]

[tex]4=12\frac{1}{2} -2\frac{1}{2} -6[/tex]

[tex]4=10-6[/tex]

[tex]4=4 \: \checkmark[/tex]

Please help! Will mark brainlyest.

Answers

Answer:

58

Step-by-step explanation:

Which numbers are solutions to the inequality 2x-1>x+2? Check all of the boxes that apply.

0
1
2
3
4
5

Answers

Any number greater than 3.

Step-by-step explanation:

To find the answers to this question, start by solving the inequality for x.

2x - 1 > x + 2

x - 1 > 2

x > 3

Using this, we now know that any number that is greater than 3 would work for this inequality.

Answer:

Step-by-step explanation:

.4

.5

Determine the solution(s) to f(x) = g(x) given the graph below.

Answers

Answer:

(-1,-3) and (1,-1)

Sometimes you give the solutions as just the x.

x = -1 and x = 1

Step-by-step explanation:

The two curvy pieces are f(x) and the straight line is g(x). The solutions are where the two graphs intersect. There are two points where this happens: (-1,-3) and (1,-1).

Sometimes your teacher, the text or the course just wants you to give the answer as the x where it happens. The graphs intersects where x=-1 and x=1

Determine the type of triangle that is drawn below. no bots allowed

Answers

Answer:

Its a - Isosceles Right Triangle -

Step-by-step explanation:

It has two equal length sides and is a right triangle

(6,0)
(10,6)
(-8,6)
(0,0)

Answers

Answer:

-8,6

Step-by-step explanation:

all of the other answers are within the highlighted area of tha graph and thus are solutions but -8,6 is outside the highlighted area

Ashton was born on the second Saturday in August many years ago. In that August, there were five Mondays and four Tuesdays. On what date was Ashton born?

Answers

Considering the situation described, it is found that Ashton was born on August 8.

What does the fact that there were five Mondays and four Tuesdays mean?

It means that August 31 was on Monday, hence the same is valid for August 24, August 17, August 10 and August 3.

Hence, the first Saturday was August 1, and the second August 8.

A similar problem, involving the interpretation of a situation, is given at https://brainly.com/question/25537936

Find the area of a triangle ABC when m

Answers

Answer:

29.02

Step-by-step explanation:

The area of traingle formula with two sides and one angle is:

[tex]A = ab\frac{siny}{2}[/tex]

When you put the values in, you can simplify it and put it into a calculator for sin. And, you then have your answer.

In which quadrant does θ lie given that sinθ < 0 and cosθ < 0? Thank You!
Quadrant I

Quadrant II

Quadrant III

Quadrant IV

Answers

Answer:

Quadrant III

Step-by-step explanation:

sin and cos are both less than zero thus negative

the x and y axis are both negative in QIII

sorry if the explaination is wrong but I know the answer is right bc I took the test

Hello! Mikosan here to help doll!

The Answer is: Quadrant 3

I hope this helps doll!

Have a great day love~

20pts each please help!!
solve for x


x - 1 2 (8 - x) = x + 3(4 - x) - x

Answers

Answer:

The correct answer is x = 32/9

Step-by-step explanation:

You must multiply the given numbers from left to right, resulting in:

x - 4 + x/2 = x + 12 - 3x - x

Then, by combining phrases on both sides that are similar, we get:

(3/2)x - 4 = -3x + 12

By adding 4 to both sides of the equation, it becomes:

(3/2)x = -3x + 16, or

3/2)x + (6/2)x = 16, which may be written as:

3x + 6x = 32, or 9x = 32

Therefore, the answer is x = 32/9

I hope this helps! ^-^

Whats the was i could solve this

Answers

Answer:

so let's see buddy....

Step-by-step explanation:

look at that angle having 45, zed (Z) angles are equal, which means the bottom left inside the triangle is also 45°.

now sum of angles in a triangle is 180°...

so we add up all the angles and equal them to 180° but an angle is missing, let's name it .

so...

96°+45°+=180°

101°+=180°

=180°101°

=79°

to find x, sum of angles in a straight line is 90°

so we subtract 79 from 90

x°= 11

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