Here is a system of linear equations:
equation 1: 2x + 7y = 8
equation 2: 2x + y=14
Solve this system with either the substitution method
OR the elimination method. Type your answer as an
ordered pair, then explain how you found the solution to
the system.

Answers

Answer 1

Answer:

X=7.5 y=-1

Step-by-step explanation:

[tex]2x + 7y = 8 \\ 2x + y = 14[/tex]

I multiplied the equation with - 1 to than I sum it with the second one to get rid of x

[tex] - 6y = 6 \\ y = - 1[/tex]

Now you put Y in on of the equation and you get x.

[tex]2x - 1 = 14 \\ 2x = 15 \\ x = 7.5[/tex]


Related Questions

HELPPP DUE IN 8 MINS!! There are many cylinders with a height of 9 inches. Let r represent the radius in inches and V represent the volume in cubic inches. Is there a linear relationship between the radius and the volume of
these cylinders?

Answers

The solution is,

R V

1  9π in³

2  36π in³

3  81π in³

What is volume?

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

For, r = 1

V = π(1)²9

  = 9π in³

For, r = 2

V = π(2)²9

  = 4*9π in³

  = 36π in³

For r = 3

V = π(3)²9

  = 9*9π in³

  = 81π in

The solution is,

R V

1  9π in³

2  36π in³

3  81π in³

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3^5=(1/3)^x

Help plz I think negative 5 but I’m not sure

Answers

Answer:

your right it's -5

Step-by-step explanation:

To eliminate the y terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before adding the equations together?

First equation: 4x − 3y = 34

Second equation: 3x + 2y = 17
The first equation should be multiplied by 2 and the second equation by 3.
The first equation should be multiplied by 2 and the second equation by −3.
The first equation should be multiplied by 3 and the second equation by 4.
The first equation should be multiplied by 3 and the second equation by −4.

Answers

The possible answer is the first choice because thats how you  do a equation

The first equation should be multiplied by 2 and the second equation by 3 and then we can add since the sign are different,.

System of equation

Given the system of equations

4x − 3y = 34

3x + 2y = 17

In order to eliminate, the first equation should be multiplied by 2 and the second equation by 3 and then we can add since the sign are different,.

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Yesterday, 20 guests at a hotel called for room service, and 60 guests did not call for room service. What percentage of the guests at this hotel called for room service yesterday?

Answers

33.3% is the answer, I think

20/60 ---> 1/3, covert this to a percentage and it equals 33.3%

Find the new amount if $65 increase 20/

Answers

Answer:

$85

Step-by-step explanation:

Answer:

the new amount would be $85

Step-by-step explanation:

you do $65 and add 20 because it increased 20

can you please mark me brainlest I would mean a lot

What is the solution for 9X 2 -25 = 0

Answers

x = 5/3

x = - 5/3

i believe this is the answer

slope = -11 and through the point (5,7)​

Answers

Answer:

y-7=-11(x-5)

Step-by-step explanation:

y-Y^1=mx-X^1

When graphing on the complex plane, which
quadrant will the complex number10 – 13i be
found in?

Answers

Given :

A complex number z = 10 - 13i .

To Find :

Which  quadrant will the complex number (10 - 13i) be  found.

Solution :

Coefficient of real part of complex number, r = 10.

Coefficient  of imaginary part of complex number, i = -13.

Since, the coefficient of imaginary part is -ve and real part is +ve .

Therefore, the complex number is in 4th quadrant.

Hence, this is the required solution.

When graphing on the complex plane, the complex number will be in the 4th quadrant.

The standard form of expressing complex numbers is expressed z = x + iy

x is the real axis (x-axis on the coordinate point)

y is the imaginary axis (y-axis on the coordinate plane)

Given the complex number z = 10 - 13i, this shows that the imaginary axis is a negative value while the real axis is a positive value.

This shows that when graphing on the complex plane, the complex number will be in the 4th quadrant.

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June's flower bed has a length of 8 feet and a width of seven eighths feet. Is the area of the flower bed larger, smaller, or equal to 8 square feet?

A) The area of the flower bed is larger than 8 square feet.
B) The area of the flower bed is smaller than 8 square feet.
C) The area of the flower bed is equal to 10 square feet.
D) The area of the flower bed is equal to 8 square feet.

Answers

Answer:

A) The area of the flower bed is larger than 8 square feet

Step-by-step explanation:

This is the answer, hope it helps!

What is the reason for each step in the solution of the equation?

−6x+7x+14=3

Answers

Answer:

−6x+7x+14=3

x = -11

X had the same value so it can perform its calculations. Integers without any variable can perform its calculations also.

Thank you and please rate me as brainliest as it will help me

In the figure, P is the centroid of Abc and BP=8
Find the length of BF

Answers

Answer:

B. 12

Step-by-step explanation:

Based on the centroid theorem,

[tex] BP = \frac{2}{3}(BF) [/tex].

BP = 8

Plug in the value of BP into the equation and find the value of BF.

[tex] 8 = \frac{2}{3}(BF) [/tex]

[tex] 8 = \frac{2*BF}{3} [/tex]

Cross multiply

[tex] 8*3 = 2*BF [/tex]

[tex] 24 = 2*BF [/tex]

Divide both sides by 2

[tex] \frac{24}{2} = BF [/tex]

[tex] BF = 12 [/tex]

If a certain machine makes electrical resistors having a mean resistance of 40 ohms and a standard deviation of 2 ohms, what is the probability that a random sample of 25 of these resistors will have a combined resistance of less than 1010 ohms?

Answers

Answer:

The probability is  [tex]P(\= X < 40.4) = 0.84134[/tex]

Step-by-step explanation:

From the question we are told that

   The mean is  [tex]\mu =40 \ \Omega[/tex]

   The standard deviation is  [tex]\sigma = 2 \ \Omega[/tex]

   The sample size is  n = 25

    The combined resistance is   [tex]\sum x_i = 1010 \ \Omega[/tex]

Generally the sample mean is mathematically represented as

      [tex]\= x = \frac{\sum x_i }{n}[/tex]

=>   [tex]\= x = \frac{1010 }{25}[/tex]

=>   [tex]\= x = 40.4 \ \Omega[/tex]

Generally the standard error of the mean is mathematically represented as

     [tex]\sigma_{x} = \frac{\sigma }{\sqrt{n} }[/tex]

=>  [tex]\sigma_{x} = \frac{ 2 }{\sqrt{25} }[/tex]

=>  [tex]\sigma_{x} = 0.4[/tex]

Generally the probability that a random sample of 25 of these resistors will have a combined resistance of less than 1010 ohms is mathematically represented as

       [tex]P(\= X < 40.4) = P( \frac{\= X - \mu }{\sigma_{x }} < \frac{ 40.4 - 40 }{0.4} )[/tex]

[tex]\frac{\= X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ \= X )[/tex]

    [tex]P(\= X < 40.4) = P( Z < 1 )[/tex]

From the z table  the area under the normal curve to the left corresponding to  1 is

     [tex]P(\= X < 40.4) = P( Z < 1 ) = 0.84134[/tex]

     [tex]P(\= X < 40.4) = 0.84134[/tex]

Help please this is due soon

Answers

Answer:

98

Step-by-step explanation:

Answer:  C) 98 inches

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

There are two ways to find the answer

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

Method 1

Multiply the length and width by the scale factor

10*3.5 = 35

4*3.5 = 14

The new larger rectangle is 35 inches by 14 inches

Add up the four sides: 35+14+35+14 = 98

The perimeter of the larger rectangle is 98 inches

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

Method 2

We can use the formula P = 2(L+W) to get the perimeter of the original rectangle

P = 2(10+4)

P = 2*14

P = 28

The original rectangle has perimeter 28 inches.

Or you could note how 10+4+10+4 = 28

Multiply this with the scale factor to get 28*3.5 = 98 inches

How do you find the rate of change

Answers

Answer:

The answer should be B

Step-by-step explanation:

Because all the y-intercepts are negative, so when you divide by the x-intercepts you will always land up with a negative.

Which equation has a constant of proportionality

To 1/2?

Answers

I have attached an image showing the complete question with the answer options.

Answer:

Option C: y = (3/6)x

Step-by-step explanation:

We are told that the constant of proportionality is 1/2.

Now, in constant of proportionality we use the formula;

y = kx

Where k is the constant of proportionality.

Thus the equation is;

y = ½x

Now, since ½ is a reduced form, we can write ½ as 2/4 or 3/6 and so on.

From the options, we see an equation with; y = (3/6)x

Thus,it's the correct one as when broken down, 3/6 gives ½

The national history museum has collected 125 dinosaurs.George has collected 3/5 of this amount.How many dinosaurs has george collected?

Answers

Answer: i love you

Step-by-step explanation: i liked all of yours

Graph the following equations on the graphs below. (GRAPH PAPER ONLY NO WEBSITES) pt.2

Answers

See Below

First, put them into y = mx + b form. From there you can graph them by identifying their slopes and y-intercepts.

Answer:

33. (-2,0) (0,1)

34. (-2,0) (0,6)

Step-by-step explanation:

First, put them into y = mx + b form. From there you can graph them by identifying their slopes and y-intercepts.

Please factor/simplify the following term
x^4-16

Answers

(X^2+4)(x+2)(x—2)
Hope this helped:)

Answer:

x - 2

Step-by-step explanation:

We will find the fourth root of both sides, which for x⁴ is simply going to be 4. For the other side, we will need to find the 4th root of 16. This can found in one of two ways.

Take the square root of 16, which and 4, and square root it again to get 2.

Use the calculator to find the 4th root of 16, which also comes out to be 2.

Our final answer for the simplified expression is x - 2

9. The mean weight of five Oklahoma State University middle weight wrestlers is
157 pounds. The weights of four of the wrestlers are 152.6 pounds, 162.3 pounds,
155 pounds, and 148.7 pounds respectively. What is the weight of the fifth
wrestler?

Answers

Answer:

Step-by-step explanation:461.6

Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the coordinate planes and the plane 2x + y + z = 2

Answers

Answer:

[tex]\mathbf{V = \dfrac{2}{3}}[/tex]

Step-by-step explanation:

Consider the tetrahedron enclosed by the coordinate planes and the plane 2x + y + z = 2

Let A be the region obtained by projecting the volume(V) onto the xy-plane.

Similarly, the plane 2x + y + z = 2 intersects with the xy-plane in y = 2 - 2x.

Using the vertical strips, the region A is to the xy-plane can be expressed as:

[tex]A = \{(x,y) | 0 \le x \le 1, 0 \le y \le 2 - 2x\}[/tex]

Thus, the volume of the solid can be calculated as follows;

[tex]V = \int^1_0 \int ^{2-2x}_{0} \int ^{2-2x-y}_{0} \ dz \ dy \ dx[/tex]

[tex]V = \int^1_0 \int ^{2-2x}_{0} (2-2x-y) \ dy \ dx[/tex]

[tex]V = \int^1_0 \bigg [2\times y -2x\times y - \dfrac{y^2}{2} \bigg]^{2-2x}_{0} \ dx \[/tex]

[tex]V = \int^1_0 \bigg [2\times (2-2x) -2x\times (2-2x) - \dfrac{(2-2x)^2}{2} \bigg]\ dx[/tex]

[tex]V = \int^1_0 \bigg [2x^2-4x+2 \bigg]\ dx[/tex]

[tex]V = \bigg [2\dfrac{x^3}{3}-\dfrac{4x^2}{2}+2 x\bigg]^1_0[/tex]

[tex]V = \bigg [2\dfrac{(1)^3}{3}-\dfrac{4(1)^2}{2}+2 (1)-0\bigg][/tex]

[tex]V = \dfrac{2}{3}- 2 + 2[/tex]

[tex]\mathbf{V = \dfrac{2}{3}}[/tex]

When you dive in a submarine, you might be at an altitude of

Answers

Altitude diving is underwater diving using scuba or surface supplied diving equipment where the surface is 300 metres (980 ft) or more above sea level (for example, a mountain lake).

Siasia has $120 to spend on new clothes. She finds two pair of jeans on sale for $28.00 each and three shirts that average $18.00 each. If the sales tax is 6.5%, how much sales tax does she pay?

Answers

Answer: Adam,

Step-by-step explanation:

Can you repeat this question in  a spectacular fashion

What is the Product of 2+√-121 And 3+√-64? The answer must be as a complex number in standard form. Please help​

Answers

Answer:

[tex]94 + 49i[/tex]

Step-by-step explanation:

Given

[tex]2 + \sqrt{-121[/tex] and [tex]3 + \sqrt{-64[/tex]

Required

Determine the products

We have:

[tex](2 + \sqrt{-121}) * (3 + \sqrt{-64})[/tex]

Factorize:

[tex]2(3 + \sqrt{-64}) + \sqrt{-121} (3 + \sqrt{-64})[/tex]

Open Brackets

[tex]6 + 2\sqrt{-64}+ 3\sqrt{-121} + \sqrt{-121} *\sqrt{-64}[/tex]

[tex]6 + 2\sqrt{-64}+ 3\sqrt{-121} + \sqrt{-121*-64}[/tex]

[tex]6 + 2\sqrt{-64}+ 3\sqrt{-121} + \sqrt{7744}[/tex]

Expand the expression in square roots

[tex]6 + 2\sqrt{-1 * 64}+ 3\sqrt{-1 * 121} + \sqrt{7744}[/tex]

Split roots

[tex]6 + 2\sqrt{-1} * \sqrt{64}+ 3\sqrt{-1} * \sqrt{121} + \sqrt{7744}[/tex]

Take positive square roots of 64, 121 and 7744

[tex]6 + 2\sqrt{-1} * 8+ 3\sqrt{-1} * 11 + 88[/tex]

[tex]6 + 16\sqrt{-1}+ 33\sqrt{-1}+ 88[/tex]

Collect Like Terms

[tex]88 + 6 + 16\sqrt{-1}+ 33\sqrt{-1}[/tex]

[tex]94 + 49\sqrt{-1}[/tex]

A complex number in standard form is:

[tex]a + bi[/tex]

Where

[tex]i = \sqrt{-1[/tex]

So:

[tex]94 + 49\sqrt{-1}[/tex]

=

[tex]94 + 49i[/tex]

Hence:

The product of [tex]2 + \sqrt{-121[/tex] and [tex]3 + \sqrt{-64[/tex] is  [tex]94 + 49i[/tex]

Please help my math question. I'll be giving brainly.
DO NOT, PUT RANDOM ANSWERS, YOU HAVE BEEN WARNED.

Answers

Answer:

80

Step-by-step explanation:

80

angle a = angle s

amr and msr are similar triangles

Answer:

Simple question!

Step-by-step explanation:

I'm never challenged in school, could you send me your hw each day?

Email ivaliu2008+outlook.com

Also, what grade are you?

Thanks!

Verizon is implementing a new program based on the number of connected devices in each household. Currently, customers are charged a flat rate of $50
per month. The new plan would charge a flat rate of $15 plus an additional $7.50 per device connected to the network. Find an inequality to show when the
cost of the new plan is less than the cost of the current plan.
O 50 < 15 +7.50x
O 50 < 15 + 7.50.
O 15 +7.503 < 50
O 15 +7.50x < 50

Answers

Answer:

d

Step-by-step explanation:

it goes with the correct statements in the sentences it is the right symbol and has the variable for the unknown amount of devices

Which measurement is the best estimate for the thickness of a phone book?

5 m
5 km
5 mm
5 cm

Answers

Answer:

5cm I think I am not sure

The thickness is an estimated 5cm

Solve for X
x+3 1/3=8 1/2

Answers

Answer:x= 31/6

Step-by-step explanation:

Solve for  

x

by simplifying both sides of the equation, then isolating the variable.

Melanie is reading a book that has 577 pages. She has already read 187 pages of the book and will read an additional 26 pages per night. Solve 187 + 26n = 577 to find how many more nights it will take Melanie to finish the book.

Answers

Answer:

15 nights

Step-by-step explanation:

187+26n=577

-187          -187

     26n=390

divide 26 on both sides

         n=15

use the elimination method to solve the system of equations choose the correct ordered pair -x + y = -2 2x - 3y = 4

Answers

Answer:

The answer is (2, 0).

I hope this helps!

What is the perimeter?
5 m
3 m
4 m

Answers

Answer:

12

Step-by-step explanation:

5+3+4=?

8+4=?

12

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