Solve the system of equations. y = 7x + 43 y = 2x + 13 a. ( -6, 1) c. ( 6, 1) b. ( 6, -1) d. No solution

Answers

Answer 1
Hello there!

y = 7x + 43
y = 2x + 13

We wanna solve y = 7x + 43 for y in y = 2x + 13

What does that even mean? Well it simply means that we gonna replace y by 7x + 43.

y = 2x + 13

7x + 43 = 2x + 13

Subtract 2x on both sides

7x + 43 - 2x = 2x + 13 - 2x

5x + 43 = 13

Now we can subtract 43 on both sides

5x + 43 - 43 = 13 - 43

5x = -30

Then divide both sides by 5

5x/5 = -30/5

x = -6

Now since we have the value for x, we gonna use that value to find y.

We can do that by substituting -6 for x in y = 7x + 43

But what does that mean? It means that in y = 7x + 43, we gonna replace the x by -6

y = 7x + 43

y  = 7(-6) + 43

y = -42 + 43

y = 1

Thus,

The answer is: x = -6 and y = 1

The correct answer is option A (-6,1).

Let me know if you have questions about the answer. As always, it is my pleasure to help students like you.

Related Questions

for your customer survey project you have successfully interviewed 90% of the customers per month this month you had 500 customers you have interviewed 430 customer so far have you met your goal

Answers

My guess is that the requirement is 90% of the customers, so:
First we convert 430/500 into a percentage, or decimal:
Both sides are divisible by 5, so:
86/100
That is 86%. You have not met your goal

find the nth term of the sequence

Answers

This is a Changing Difference Sequences:

Given:              11            20           35            56           83
1st difference :         9             15            21            27
2nd difference:                  6              6               6

Formula : nth term = a + (n - 1)d + ½(n - 1)(n - 2)c
a = first term = 11
c = second difference = 6
d = difference between the first and the term

So we substitute all these known values into the formula:

nth term = 11 + (n - 1)(9) + 1/2(n - 1)(n - 2)(6)

nth term = 11 + 9n - 9 + 3(n - 1)(n - 2)

nth term = 11 + 9n - 9 + 3(n² - 3n + 2)

nth term = 11 + 9n - 9 +3n² - 9n + 6

nth term = 3n² + 8

Answer: 3n² + 8

What is the probability that a point chosen at random in the given figure will be inside the smaller triangle? Enter your answer, as a fraction in simplest form, in the box. P(inside smaller triangle) = $\text{Basic}$ $x$$y$$x^2$$\sqrt{ }$$\frac{x}{ }$$x\frac{ }{ }$$x^{ }$$x_{ }$$\degree$$\left(\right)$$\abs{ }$$\pi$$\infty$ A triangle with a base of 2 centimeters and a height of 2 centimeters is within a larger triangle with a base of 6 centimeters and a height of 5 centimeters. The sides of the inner triangle do not touch the sides of the outer triangle.

Answers

The answer is 51/100! i had this question! ( yes it may seem confusing because all of the symbols but this is what happens when you copy and paste it! ) 

Answer:

51/100

Step-by-step explanation:

4 mi= ft and 5 mi=. yd help me

Answers

4 miles= 21120 ft
5 miles= 8800 yd

what is the length of xz

Answers

G. 13.5 inches. Do you need to show your work?

4/6 = 9/x
4x=54
x=13.5

to check it: 6/9=9/x
6x=81
x=13.5

Write an inequality comparing 19 and 30

Answers

19 < 30

Is that what you're looking for? 

Somebody please help me! I'm desperate


Two rectangles have the same width. One is 12 units long and the other is 8 units long. The area of the first rectangle is 320 square units more than the area of the second rectangle. Find the width of each rectangle.

Answers

You could try the Pythagorean theorem. I can't guarantee it will work though.

A wooden toy kit has different painted solids. One solid is a cylinder with diameter 2cm and height 2cm. what is it's volume

Answers

V=pi (r^2) (h)
v= 3.14  * 1 * 2
V= 6.28
the answer is four (4) because you need to multiply 2x2=4



Really, really easy!
I know I should have figured it out, but:
Pictures from a company cost 650mb each, and songs cost 2200mb each. 16 files are downloaded in a single day, and the total mb from files downloaded adds up to 18150 mb, how many of each product was installed? Write two possible equations using p for pictures and s for songs.

Answers

The first equation would be 650p+2200s =18150 
The second equation would be p + s =16

Final answer:

This problem is a system of linear equations. The first equation represents the total number of files (pictures and songs) downloaded: p + s = 16. The second equation represents the total size of the downloads in terms of pictures and songs: 650p + 2200s = 18150.

Explanation:

This problem is an example of a system of linear equations. In this scenario, we have two types of files - pictures, represented by 'p', and songs, represented by 's'. The cost in megabytes for each is also provided. We can take these details and construct two equations:

Equation 1: The total numbers of pictures and songs downloaded: p + s = 16.
Equation 2: The total size of the downloads: 650p + 2200s = 18150.

You can solve these equations by substitution or elimination method to find the actual numbers of pictures and songs that were downloaded.

Learn more about System of Linear Equations here:

https://brainly.com/question/20379472

#SPJ12

Which of the following situations involve opposite quantities combine to make 0?

a. Eva has a new piggy bank. She adds 7 quarters on Wednesday and then adds another 5 quarters on Friday.

b. David made lemonade. He had 2 1⁄2 liters of water and used 5/2 liters for lemonade.

Answers

Final answer:

Option b is the situation where opposite quantities combine to make zero. David used 2 1/2 liters of water (which is equivalent to 5/2 liters) to make lemonade, resulting in no water left, indicating the quantities have combined to make zero.

Explanation:

The question asks which scenario involves opposite quantities that combine to make zero. Let's examine the given options:

a. Eva adding quarters to her piggy bank on different days does not involve opposite quantities, as both actions are additive and result in an increase in the number of quarters.

b. David having 2 1⁄2 liters of water and using 5/2 liters for lemonade represents a scenario where opposite quantities combine to make 0. It's because 2 1⁄2 is a mixed number equivalent to 5/2, so when 5/2 liters of water are used, the quantities are opposite (one positive and the other negative) and they cancel each other out, leaving 0 liters.

The correct answer to which scenario involves opposite quantities that combine to make zero is b. David made lemonade using all of the water he had, ending with none left.

Final answer:

Option b, where David uses 5/2 liters of water for lemonade from an initial 2 1/2 liters, demonstrates opposite quantities combining to make 0. These quantities are the same, and when subtracted from each other, result in zero.

Explanation:

The question asks which of the given situations involve opposite quantities that combine to make 0. Option b represents such a situation. David had 2 1⁄2 liters of water, and then he used exactly 5/2 liters for lemonade, which are opposite quantities when considering addition and subtraction, since 5/2 liters is the equivalent of 2 1/2 liters.

To further explain, when David uses the 5/2 liters of water for lemonade, this amount is subtracted from the initial 2 1⁄2 liters, leading to a remainder of 0 liters. This is an example of performing an operation with opposite quantities where the result is zero.

X and Y are parallel.

If the measure of is 150 degrees, find the measure of this angle.
M∠ 2

Answers

do you mean m<1 = 150?
if so then below is my answer

X and Y are parallel
m<1 = 150
m<2 = 180 - 150 = 30

answer
m<2 = 30
Final answer:

Given that angles X and Y are parallel, and that angle X measures 150 degrees, angle Y would also measure 150 degrees, as corresponding angles are equal in measure when lines are parallel.

Explanation:

The subject in the question is Mathematics. Specifically it involves the topic of geometry, and concepts of parallel lines and angles. Given angles X and Y are parallel and the measure of angle X is 150 degrees, the measure of angle Y, by properties of parallel lines, would also be 150 degrees, as corresponding angles are equal.

Learn more about Angles and Parallel Lines here:

https://brainly.com/question/17237586

#SPJ3

Cost of 9 candies at $1.11 each?

Answers

1.11 * 9 = 9.99

The cost of 9 candies is $9.99. 

Which are equivalent expressions to 4x+8 (select all that apply)

Answers

lets say that x=2(doesn't actually equal 2 is just plugging in a random number to make it easier)

4x+8=4*2+8=16

A is incorrect 4(x+8)=4(2+8)=40 

B is correct  4(x+2)=4(2+2)=16

C is correct (8x+16)/2=(8*2+16)/2=16

D is correct 8+4x=8+4*2=16

E is incorrect (8x+8)/2=(8*2+8)/2=12

So the correct answers are: B C D

A recycling bin in the The shape of a rectangular prism has a volume of 9720 cubic inches. The base area is 324 square inches, what is the height of the recycling bin?

Answers

The height is 30in.  (see attachment)

Which is equivalent to 4 square root 9^1/2x? Choices are: A) 9^2x B) 9^1/8x C) square root 9^x D) 6 square root 9^x

Answers

it should be B im not sure

Answer: The correct option is B.

Explanation:

The given expression is,

[tex]\sqrt[4]{9^{\frac{1}{2}}}x[/tex]

Use the property of radical expression [tex]\sqrt[n]{x} =x^{\frac{1}{n} }[/tex].

[tex]\sqrt[4]{9^{\frac{1}{2}}}x=(9^{\frac{1}{2})^{\frac{1}{4}}}x[/tex]

Use the property, [tex](x^m)^n=x^{mn}[/tex]

[tex]\sqrt[4]{9^{\frac{1}{2}}}x=9^{\frac{1}{2\times 4}x[/tex]

[tex]\sqrt[4]{9^{\frac{1}{2}}}x=9^{\frac{1}{8}x[/tex]

Therefore, the correct option is B.

Heart 1 is translated 3 units down to heart 2. Which shows this transformation?
images go to
1 2 3 4
ANSWER ASAP PLEASE I BEG! ILL FAIL! IF NOOOOOT!

Answers

Answer:

Image IV

Step-by-step explanation:

We are given that

Heart 1 is translated 3 units down to heart 2.

We have to find the image which shows this transformation.

The translation rule when a figure is shift 3 units down is given by

[tex](x,y)\rightarrow (x,y-3)[/tex]

The coordinates of a point lie on heart are (-2.5,3)

After translation 3 units, the coordinates of corresponding point which lie on the heart

[tex](-2.5,3)\rightarrow (-2.5,0)[/tex]

Therefore,the heart shift from II quadrant to III quadrant.

Image I is not true because the heart 1 shift to heart 2 in  quadrant III not in IV quadrant.

In image II ,the corresponding point of the point (-2.5,3) is (-2.5,-3).

Image II is not true because the corresponding  point is (-2.5 ,0) not (-2.5,-3).

Image III is not true because heart 2 should be in quadrant III not in quadrant I after translation 3 units down of heart 1.

Image IV is true because the corresponding point of the point (-2,5,3) is (-2.5,0) and heart 2 lies in quadrant III.

The sound intensity of a normal conversation is 10^6 times greater than the quietest noise a person can hear. The sound intensity of a jet at takeoff is 10^14 times greater than the quietest noise a person can hear. How many times more intense is the sound of a jet at takeoff than the sound of a normal conversation? Write your answer as a power.


PLEASE HELP FAST!!!

Answers

If one sound is 10^x times more intense than another sound, then it has a sound level which is 10*x more decibels than the less intense sound. So, 10*6=60=7.75^2≈60

The sound of a jet at takeoff is [tex]10^{8}[/tex] times more intense than the sound of a normal conversation.

The sound intensity of a jet at takeoff is [tex]10^{8}[/tex]times more intense than the sound of a normal conversation.

To calculate this, you need to find the difference in intensity between the jet at takeoff and a normal conversation, which is [tex]10^{14}[/tex] – [tex]10^{6}[/tex] = [tex]10^{8}[/tex]

Therefore, the sound of a jet at takeoff is [tex]10^{8}[/tex] times more intense than the sound of a normal conversation.

A snail has traveled 1.15 miles in 5days. There are 2,280 feet in a mile and 12 inches in a foot. How many inches did the snail travel

Answers

Final answer:

The snail traveled 31,464 inches.

Explanation:

To convert the distance traveled by the snail from miles to inches, we need to convert miles to feet and then feet to inches. We know that there are 2,280 feet in a mile. So, the snail travels 1.15 miles x 2,280 feet/mile = 2,622 feet. Next, we know that there are 12 inches in a foot. So, the snail travels 2,622 feet x 12 inches/foot = 31,464 inches.

Geometry help plz I don’t get it

Answers

We know volume of a cylinder is v=2(pi)(r^2)(h)

Since it gives us the volume of 4019.2, we must work backwards.

1) Do the equation.

The problem starts us off with what we know already, which is 4019.2=2(pi)(r^2)(h). Since we know radius is 8, we can subsitute 8 for r and with the square unit, get 64. This leads to now 4019.2= 2(pi)(64)(h).

2) Divide by 2.

With the two in the equation, we must divide both sides by 2. This starts and ends with 4019.2/2 and 2(pi)(64)(h) divided by 2, giving us 2009.6=(pi)(64)(h).

3) Divide by pi.

To move us closer to the answer, you must divide both sides by pi to help us find out what the height is. So 2009.6 divided by pi, if simplified, should give us 640=(64)(h).

4) Divide by radius squared.

Now for final part. With h in the grasp, we divide both sides by 64 to leave h alone at last. So with 640/64, that gives us 10=h.

Therefore, the height is 10 units tall and that is the answer.

Hope this helps. Have a good day.

Which ordered pair is a solution of the equation? 3x-y=133x−y=13

Answers

3x - y = 133
 x  - y = 13
------------------subtract
2x = 120
  x = 60

substitute x = 60 into  x  - y = 13 to find y

 x  - y = 13
60  - y = 13
        y = 60 -13
        y = 47

answer
x = 60 and y = 47

Given: KLMN is a trapezoid, KF =10 MF ║ LK AKLMF = AFMN Find: KN

Answers

Final answer:

The question mixes physical and geometric concepts without a clear relationship or sufficient details to calculate the length of KN in the trapezoid KLMN, making it difficult to provide a step-by-step solution.

Explanation:

The question appears to involve various mathematical and physical concepts, most notably relating to trapezoid geometry and principles of force and motion. However, the specific information provided does not directly lead to a clear method for finding the value of KN in a trapezoid given the other conditions mentioned. It mixes principles from physics, particularly force equations, with geometric properties of trapezoids without presenting a typical geometry problem's clear setup or goal.

Normally, to solve for the length of a side in a trapezoid like KN, one would use properties of trapezoids (e.g., parallel sides, angle properties, or potentially the Pythagorean theorem if right angles are involved). However, the information given mixes unrelated physical equations (such as the force equation F = ma and friction models) with geometric figures without presenting a coherent relation between them.

Without additional specific geometric information or a clearer connection between these physical principles and the geometry of trapezoid KLMN, providing a step-by-step solution for finding KN is not feasible. It is advisable to request more specific details or clarification on how these concepts are supposed to interact within the context of the problem.

Find the unknown. 1,025 = ( × 9) + 17

Answers

112 is your answer I think.


   112 x 9 = 108 + 17 = 1,025

Convert 976 cups to gallons.

Answers

61 gallons. hope it helps
976 cups. if there are 16 cups in a gallon you divide 976 and 16 to get 61 gallons.

Answer:

just did test, answer is 61 gallons

Step-by-step explanation:

If Mitchel ate 45 hot dogs in 3 minutes at the annual hot dog eating contest. What is Mitch unit rate?

Answers

Hello!

To find the unit rate you divide the amount of hotdogs ate by the amount of time it took

45 / 3 = 15

Mitchel ate 15 hotdogs a minute

The answer is 15

Hope this helps!

The unit rate is calculated by dividing the total quantity by the given time unit. For Mitch who ate 45 hot dogs in 3 minutes, his unit rate was 15 hot dogs per minute.

Unit rate is the ratio of a quantity to one, such as miles per hour or cost per item. To find Mitch's unit rate of hot dogs eaten per minute, we divide the total number of hot dogs by the time taken. In this case, Mitch ate 45 hot dogs in 3 minutes, so his unit rate is 45 hot dogs / 3 minutes = 15 hot dogs per minute.

Please help me with this question.

Answers

The easiest way to solve this is to put everything with a common denominator (I chose 100 because it's simple):

1. 8/100, 35/100, 40/100
2. 69/100, 75/100, 8/100
3. 70/100, 85/100, 79/100
4. 17/100, 15/100, 37/100

So the answer is the first one!
The answer should be the first one 

Write a^-6 using a positive exponent

Answers

1/a^6
....................
Remove the negative exponent by rewriting  
a^-6  as 1/a^6

if angle 7 has a measure of 153° in the given diagram, what is the measure of angle 6

Answers

the angle 6 is 153 because the angles are across from eachother

is Jeremy Camp says horse 12 gallons of water each day how many 1 quart pails of water is that

Answers

Multiply total number of gallons per day by number of quarts in one gallon

4 quarts= 1 gallon

= 12 gallons * 4 quarts in 1 gallon
= 48 quarts


ANSWER: He would use 48 quart pails of water per day to give his horse 12 gallons of water.

Hope this helps! :)

What is the slope of a line parallel to the line whose equation is 3x - 4y = 8?

A. -4/3

B. -3/4

C. 3/4

D. 4/3

Answers

3x - 4y = 8
4y = 3x - 8
  y = 3/4 x - 2 ; slope = 3/4
parallel lines have same slope

so answer is C. 3/4

The slope of a line parallel to the line with the equation 3x - 4y = 8 is 3/4, which is option C.

To find the slope of a line parallel to the given line, first, we need to write the equation of the given line in slope-intercept form, which is y = mx + b, where m is the slope, and b is the y-intercept. Starting with the equation 3x - 4y = 8, we rearrange it to solve for y:

3x - 4y = 8
-4y = -3x + 8
y = (3/4)x - 2

The slope of the original line is therefore 3/4. Lines that are parallel to each other have the same slope. Therefore, the slope of a line parallel to the given line is also 3/4, which is option C.

In the last basketball game, the panthers scored 63 points. This was seven times the number of points that Reilly scored. Write and solve an equation to find the number of points Reilly scored
And how much did the rest of the team score

Answers

7x___=63 Sorry I don't understand the
second part but your welcome:)
÷7. ÷7

__= 9
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