X+6y=10 x+5y=9
Use elimination to solve the following equations

Answers

Answer 1

Answer:

(4, 1 )

Step-by-step explanation:

x + 6y = 10 → (1)

x + 5y = 9 → (2)

subtract (2) from (1) term by term to eliminate x

0 + y = 1

y = 1

substitute y = 1 into either of the 2 equations and solve for x

substituting into (1)

x + 6(1) = 10

x + 6 = 10 ( subtract 6 from both sides )

x = 4

solution is (4, 1 )


Related Questions

can someone explain this to me thank u :)

Answers

Answer:

1/4

Step-by-step explanation:

It is really weird that this answer is not on there but here is my explanation.

We can consider this question in two different ways.

First, we could list the possible outcomes.

HHH

HHT

HTH

HTT

THH

THT

TTH

TTT

In total 8 possibilities, 2 of which are either all heads or all tails. So the probability is 2/8 which is 1/4.

Alternatively, we could look at each of the three independent events in turn.

We toss the first coin. We don’t mind whether it lands head or tail, but we need to note the result. The probability of getting any result is 1.

We toss the second coin and there is a probability of 1/2 that the result matches the first toss.

We now toss the third coin and again there is a probability of 1/2 that the result matches the first toss.

So the probability of getting all heads or all tails is the probability of getting any result from the first toss (1) multiplied by the probability of a matching result for the second toss (1/2) multiplied by the probability of a matching result for the third toss (1/2).

So that’s 1 * (1/2) * (1/2), which is 1/4.

Mrs. smith has 5 times as many markers and colored pencils is 54.How many markers does mrs. smith have

Answers

Answer:

The answer is 270

Step-by-step explanation:

5×54=270

The answer will be 270, u just need to multiply 5 X 54

What is the volume of a rectangular prism with a length of 7 centimeters, a width of 3 centimeters, and a height of 2 centimeters?
Enter your answer in the box.

V = cm³

Answers

Answer:

42cm³

Step-by-step explanation:

7*2*3=42

7*2=14

14*3=42

42

Find the final price of a $149 iPod with a 10% discount
and 5% sales tax.

Answers

Answer:

140.80

Step-by-step explanation:

Not completely sure if my answer is correct

A straight line p through A(-2,1) and B(2,k) the line is perpendicular to a line 3y + 2x =5. Determine the value of k

Answers

Answer:

k = 7

Step-by-step explanation:

To solve this, first, you need to find the slope of the line. To do this, you can convert it into point-slope form.

3y = -2x + 5

y = - 2/3x + 5/3

The slope is -2/3, so the perpendicular slope in 3/2

You find the difference between the x - values (2 - -2 = 4), then multiply that by the slope (4 x 3/2 = 6) finally, you add that to the y value of point one.

1 + 6 = 7

Evaluate the quotient of 1.05 x 103and 1 x 103:

1.05 x 10 -6
1.05 x 10 9
1.05 x 10 6
1.05 x 10 0

Answers

Answer:

1.05 x 10^0.

Step-by-step explanation:

1.05 x 10^3 / 1 x 10^3

= 1.05/1  x 10^(3-3)

= 1.05 x 10^0

Which number of degrees is the measure of the angle? explain how you know.

Answers

Can you please show me what angle?

Multiplying Polynomials

Answers

Let's see

Area

[tex]\\ \rm\rightarrowtail \dfrac{1}{2}\times Base\times Height [/tex]

[tex]\\ \rm\rightarrowtail \dfrac{1}{2}(6xy^5)(4x^2y)[/tex]

[tex]\\ \rm\rightarrowtail 3xy^5(4x^2y)[/tex]

[tex]\\ \rm\rightarrowtail 12x^3y^6[/tex]

[tex]\text{Area of triangle} = \dfrac 12 \times \text{Height} \times \text{Base} \\\\~~~~~~~~~~~~~~~~~~~~~~=\dfrac 12 \cdot 6xy^5\cdot 4x^2y\\\\~~~~~~~~~~~~~~~~~~~~~~=12x^3y^6 ~ \text{units}^2[/tex]

which of the following is not a pythagorean triple
(5,12,13)
(8, 15 17)
(5, 8, 9)
(6, 8, 10)

Answers

Answer:

C. (5, 8, 9)

Step-by-step explanation:

Put the triples into the Pythagorean Theorem and see if they come out true.

a² + b² = c²

5² + 12² = 13²

25 + 144 = 169

169 = 169

5, 12, and 13 are a Pythagorean Triple.

a² + b² + c²

8² + 15² = 17²

64 + 225 = 289

289 = 289

8, 15, and 17 are a Pythagorean Triple.

a² + b² = c²

5² + 8² = 9²

25 + 64 = 81

89 ≠ 81

5, 8, and 9 are NOT a Pythagorean Triple.

a² + b² = c²

6² + 8² = 10²

36 + 64 = 100

100 = 100

6, 8, and 10 are a Pythagorean Triple.


Two friends share a protein bar which weighs 7 ounces. Each friend eats the same amount of the protein bar. Between which two
whole numbers does the number of ounces of the protein bar that each friend eats lie?
HELP

Answers

Sorry but no speek English

Answer:

3 and 4

Step-by-step explanation:

3.5 ounces is 7/2 so if they eat the same amount they would both eat 3.5 ounces.

Question 11 . 2 p Brent is considering buying a new circular track for his model train. He estimates that the model's circumference is about 3 times the measure of the circle's diameter. With this information, Brent could derive the value of OT O length O width area Previous Next > No new data to save. Last checked at 9:51am Submit​

Answers

Brent estimates that the model's circumference is about 3 times the measure of the circle's diameter, with this, he can estimate the area.

What is a circle?

A circle is the locus of a point, such that the distance from a fixed point (center) is always constant.

The circumference of a circle is given by:

Circumference = π * diameter

Brent estimates that the model's circumference is about 3 times the measure of the circle's diameter, with this, he can estimate the area.

Find out more on circle at: https://brainly.com/question/24375372

solve pls brainliest

Answers

Answer: 200 students gave their speeches.

Explanation;

240 ÷ 6 = 40

40 x 5 = 200

How many solutions does the system of equations below have?

y = 8x - 7

y = 8x + 4/5

no solution
one solution
infinitely many solutions

Answers

Answer: No Solution

Step-by-step explanation:

To solve this system of equations, set the two equations equal to each other and get: 8x - 7 = 8x + 4/5.

However, notice that if you consolidate the x terms and subtract 8x, you get 0 - 7 = 4/5.

7 can never equal 4/5, so there is no solution :)

5. A ball is thrown into the air. It went 14 inches into the air is represented by the equation
h = -14t2 + 28t, where h represent the height and t represents the time. Determine when
the ball is thrown and how long it takes to hit the ground?

Answers

By defining that h(t) = 0 means that the ball is in the ground, we conclude that the ball is thrown at t = 0, and hits the ground again at t = 2.

When the ball is thrown?

The height equation is:

h(t) = -14*t^2 + 28*t

When t = 0, we have: h(0)  = 0

So it is in the ground, meaning that it is thrown at the time t = 0.

How long does it take to hit the ground?

We need to find the other root of the quadratic equation, so we need to solve:

-14*t^2 + 28*t = 0

We can rewrite this as:

t*(-14*t + 28) = 0

The parenthesis is zero when:

-14*t + 28 = 0

t = 28/14 = 2

So at t = 2, the ball hits the ground.

If you want to learn more about quadratic equations, you can read:

https://brainly.com/question/1214333

Pls help ill give 15 brainliest and 5 starts question is down below

Answers

Answer:

Area of right angle triangle is axb/2

3x4/2 = 6 sq. Cm

Area of parallelogram = bxh

20x21.5 = 430 in2

Answer:

Area of the triangle: 6 cm
Area of the parallelogram: 430 in²

Step-by-step explanation:

Area of a triangle formula is base * height * 1/2, in this case 4 * 3 * 1/2, which equals 6.

Area of a parallelogram formula is base * height, in this case 21.5 * 20 which equals 430.

Solve for X. Leave your answer in the simplest radical form.
Image down below!
Someone please help me with this, I’ll give you brainlist and points!

Answers

Answer is 2 root 5

I used the Pythagorean theorem starting with the first triangle and using that answer to figure out the second, revealing x.

Answer:

√20 which can be written as 2√5

HELP PLEASE! A survey asked 200 campers to choose their favorite activity. The results are displayed in this circle graph.

How many campers chose basketball as their favorite activity?



26 campers


36 campers


44 campers


58 campers

Answers

Answer:

44 campers chose basketball

Solve for x.
-2(x + 74) = -158.00

Answers

Answer:

Hi I'm always here to help!!!

___________________________

x = 5

___________________________

Have a great day!!!!!!!

In this equation, x equals 5.

Please assist. No links

Answers

Answer:

(B) is the answer of your question

Sort the fractions in order of size with the largest fraction at the top.
10/12 kg
2/3 kg
21/4 kg
13/4 kg

Answers

Answer:

21/4 is the biggest number hope it helps, God bless ya'll!

Step-by-step explanation:

Sonia uses a 20% off coupon when she order from Uber eats original price of the order is $50 how much money does Sonya save

Answers

Answer:

she saves $40

Step-by-step explanation:

first of all, you find 20% of $50, that is,

(20/100) * $50

then you get: $10

next step is to subtract this answer from the $50, that is: $50 - $10 = $40

have a great day!!

We get the amount of price removed as a result of free coupon as below:

[tex] \frac{20}{100 } \times 50 = \frac{1000}{100} = 10 \\ coupon = 10dollars[/tex]

Therefore, Sonya saved $10

Find the area of the rectangle. ​

Answers

Answer:  5.6ft²

Step-by-step explanation:

Area of a rectangle = length x width

                                 = [tex]\frac{4}{5} ft[/tex] (7ft)

                                 = [tex]\frac{28}{5}ft^{2}[/tex]

                                 = 5.6ft²

7. What is the length of SW?

Answers

Answer:

SW = 130

Step-by-step explanation:

[tex]2(2x+5)=5x-20[/tex]

This is what the equation should be because this is a rectangle.

[tex]4x+10=5x-20[/tex]

Once you finish simplifying, move the numbers and variables over to get this.

[tex]x=30[/tex]

Then do multiplication and addition to get 130.

What is the value of w?
w
36°

Answers

Answer: you literally said it yourself. its 36°

Step-by-step explanation:

It’s 36° due to the vertical angles theorem

Help me plssss someone I've been stuck on this question for a while now ;(

Answers

Answer:

4000 meters

Step-by-step explanation:

Shortest run was 5 laps (2000 meters), and longest was 15 (6,000 meters)

1 of 39 men is chosen at random. 27 men passed the test. 12 men failed. What is the probability that the man failed his test​

Answers

Answer:

30.7%, 0.3, or 4/13

Step-by-step explanation:

The correct procedure for this problem is:

The number of men that passed the test and the number of men should be located as the numerator and denominator of the fractional number.12/39 is our fraction, which we can reduce to 4/13We can change it to a percent and a decimal, which would be 30.7% and 0.3.

The monthly rent for an 800 square foot office is $975. For an 1100 square foot office the rent is $1125 Write and solve a linear equation to find out the rent for a 1500 square foot office

Answers

There is the answer step by step

You and your friend buy a bag of assorted fruit that contains 3 apples, 5 oranges, and 2 bananas. You each randomly choose a piece of fruit and eat it. What is the probability you both will get a banana?

Answers

The probability is 2/10 because there is 10 fruits in total and 2 bananas

How do u find an area of a cuboid?

Answers

Answer:

To find the surface area of a cuboid, add the areas of all 6 faces.

Given the function h of x equals 3 times the square root of x, which statement is true about h(x)?

The function is decreasing on the interval (–∞, 0).
The function is increasing on the interval (–∞, 0).
The function is decreasing on the interval (0, ∞).
The function is

Answers

The true statement about h(x) is: The function is increasing on the interval [0, ∞).

Linear Function

A linear function can be represented by a line. The standard form for this equation is: ax+b , for example, y=2x+7. Where:

a= the slope.If:

             a> 0 , the function is increasing;

             a< 0 , the function is decreasing;

b=the constant term that represents the y-intercept.

Domain and Range

The domain of a function is the set of input values for which the function is real and defined. In other words, when you define the domain, you are indicating for which values x the function is real and defined.

While the domain is related to the values ​​of x, the range is related to the possible values ​​of y that the function can have.

You should convert the text of the question into a math expression.

[tex]h(x)=3*\sqrt{x}[/tex]

Like the coefficient a is greater than zero (a>0), the function is increasing.

The equation has a square root, so, the values of x can not present negative values. Therefore, x≥0. Consequently, the values of y (range) for this function will be greater than or equal to zero (y≥0). See the attached image.

The range is:

[tex]{Solution:}\:&\:f\left(x\right)\ge \:0\:\\Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]

Learn more about the range and the domain here:

brainly.com/question/10197594

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