Solve this system of equations:

5x + y = 7
20x + 2 = y

Answers

Answer 1

Answer:

x = 1/5, y = 6

Step-by-step explanation:

5x + y = 7

y = 7 - 5x

Set equations equal to each other to eliminate y

7 - 5x = 20x + 2

7 = 25x + 2

5 = 25x

x = 1/5

y = 7 - 5(1/5)

y = 7 - 1

y = 6


Related Questions

Which statement about the ratios 15/18 and 18/27 is true?

A.The ratios are proportional because they simplify to the same ratio.
B.The ratios are proportional because they both contain the number 8.
C.The ratios are not proportional because they do not have the same denominator.
D.The ratios are not proportional because they do not simplify to the same ratio.

Answers

Answer:

C

Step-by-step explanation:

brainliest pls

Answer:

D

Step-by-step explanation:

the answer is D beacuse if expressed as ratios the would not be simplified or reduced to the same lowest form

Sarah drove 40 miles per hour. In 3 hours, Sarah drove 120 miles. Which is a valid proportion to represent this description?

Answers

Answer:

A

Step-by-step explanation:

miles over hours

40 over 1

120 over 3

At a wedding reception an equal number of guests were seated at each of three large tables, and 7 late arriving desks were seated at a smaller table. There were 37 guests in all. If n represents the number of guests seated at each of the large tables, what equation represents the situation?

Answers

Answer:

3n+7=37 is the equation to solve how many were at each of the large tables

If the temperature outside increases by 3 1/2 degrees every 1 1/2 hours, by how much will the temperature increase after 4 hours?

please answer in fractions.

Part 1:

What is the rate per hour of the temperature increase?

Part 2:

How much will the temperature increase after 4 hours?

Answers

Answer:

Part 1:    7/3 degrees/hour

Part 2:    28/3 degrees

Step-by-step explanation:

Part 1:

3 1/2 degrees per 1 1/2 hours =

= (3 1/2)/(1 1/2)

= (7/2) / (3/2)

= 7/2 * 2/3

= 7/3 degrees/hour

The rate is 7/3 degree per hour

Part 2:

In 4 hours, the temperature goes up 4 times what it goes up in 1 hour.

4 hours * 7/3 degree/hour = 28/3 degrees

A right triangle has a leg lengths of 9 units and 12 units. Write an equation that can be used to determine the length of the hypotenuse, c.

Answers

Answer:

a^2+b^2=c^2

c=15 units

Step-by-step explanation:

You can use the pythagorean theorem to solve this equation. a^2+b^2=c^2.

If you substitute the leg lengths in, the new equation will be 9^2+12^2=c^2, c being the hypotenuse.

Next, you can simplify it to get 81+144=c^2. Simplifying it further, you get 225=c^2, which means that the length of the hypotenuse is 15. Hope this helped! :)

Answer:

15

Step-by-step explanation:

9^2+12^2=c^2

81+144=c^2

225=c^2

15=c

or you can see that this is a 3,4,5 triangle (just 3 times bigger)

hope this helps :)

Somebody Please solve this question without using L Hospital rule.

Evaluate if:​

Answers

Answer:

1/2

Step-by-step explanation:

Given that,

[tex]\lim_{n \to 1} (\dfrac{1+\cos\pi x}{\tan^2\pi x})[/tex]

Using L Hospital's rule to find it :

[tex]\lim_{n \to a} \dfrac{f(x)}{g(x)}= \lim_{n \to a} \dfrac{f'(x)}{g'(x)}[/tex]

We have,

a = 1, [tex]f(x)=1+\cos\pi x, \ \ g(x)=\tan^2\pi x[/tex]

[tex]f'(x)=\dfrac{d}{dx}(1+\cos\pi x)\\\\=-\pi \sin \pi x\ .....(1)[/tex]

[tex]g'(x)=\dfrac{d}{dx}(\tan^2\pi x)\\\\=2\tan\pi x\times \sec^2\pi x\times \pi\ .....(2)[/tex]

From equation (1) and (2) :

[tex]\lim_{n \to 1} \dfrac{f(x)}{g(x)}= \lim_{n \to 1} \dfrac{-\pi \sin\pi x}{2\tan \pi x\times \sec^2\pi x \times \pi}\\\\\lim_{n \to 1} \dfrac{-\pi \sin\pi x}{2\tan \pi x\times \sec^2\pi x \times \pi}\\\\=\lim_{n \to 1} \dfrac{-1}{2}\times\cos^3\pi x\\\\=\dfrac{-1}{2}\times \cos^3\pi \\\\=\dfrac{1}{2}[/tex]

So, the value of the given function is 1/2.

what are the possible coordinates of point a?

Answers

Answer:

(0,5)

Step-by-step explanation:

Hope this helped, Have a Great Day!!

Find the value of a3 + 3b2 when a = 2 and b = -2

Answers

Given:

a = 2 and b = -2.

To find:

The value of [tex]a^3+3b^2[/tex].

Solution:

We need to find the value of expression [tex]a^3+3b^2[/tex] at a = 2 and b = -2.

Substituting a = 2 and b=-2 in [tex]a^3+3b^2[/tex], we get

[tex](2)^3+3(-2)^2[/tex]

[tex]=8+3(4)[/tex]

[tex]=8+12[/tex]

[tex]=20[/tex]

Therefore, the value of expression [tex]a^3+3b^2[/tex] at a = 2 and b = -2 is 20.

Please answer ASAP!

How many different arrangements of the letters of the word SCIENCE
have N as their first letter and S as their last?

Answers

Ignore this post, I have no Idea what it is, report this so it gets taken down so someone else can answer...

Simplify: 3a - 4 + 5a + 7 + 2(a + 1)

Answers

Answer:

10a + 5

Step-by-step explanation:

3a - 4 + 5a + 7 + 2(a + 1)

3a - 4 + 5a + 7 + 2a + 2

10a +5

Group the variables and non variables.

The correct answer is 10a+5

What is the slope between these two points? (-5, 2) and (2,8). You must show your work for this problem. *

Answers

Answer:

6/7

Step-by-step explanation:

Given the points :

(-5, 2) and (2, 8)

Slope can be obtained by using the relation :

(y2 - y1) / (x2 - x1)

From the points given :

x1 = - 5 ; y1 = 2 ; x2 = 2 ; y2 = 8

(8 - 2) / (2 - (-5))

(8 - 2) / (2 + 5)

6 / 7

Hence, slope between the two points = 6/7

HELPPPPPPP!!!!!!!!!!

Answers

Answer:

The Second choice y+5=-3/4(x-2

Step-by-step explanation:

4y=3x+8 solve for y so it's y=-3/4x+2

and use the slope which is -3/4

2 = x then 5 = y

you used to pass through formula and plug it in soooo it's

y+5=-3/4(x-2)

sorry if this doesn't make any sense, I'm terrible at explaining

How do you find the slope of a line in a graph?


Help me please

Answers

what graph? no info is selected in this....!


explaination: hm, think?

[tex]slope = \tan(angle \: made \: by \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: line \: with \: x \: axis) [/tex]

[tex]or \: [/tex]

[tex] = \frac{y1 - y2}{x1 - x1} [/tex]

Please help me with circle theorems

Answers

Answer:

x = 38°, y = 68°, z = 55°

Step-by-step explanation:

This would be easier to explain if the vertices were labelled , however

Angles at the circumference of the circle subtended on the same arc are congruent.

x and 38 are subtended on the same arc

y and 68 are subtended on the same arc

z and 55 are subtended on the same arc

Thus

x = 38°, y = 68° and z = 55°

Please help!!! Thank you!!!

Answers

Answer:

See below

Step-by-step explanation:

Statement                                      | Reason                                            

1. m∠A + m∠B + m∠C = 180°         | 1.  Angles in a triangle sum to 180°

2. 28° + x - 4° + 2x = 180°              | 2. Substitution

3. x=(180° - 24°)/3= 156°/3°= 52°   | 3. Algebra

Erica is hiking down a mountain. She descends at a rate of 36 feet per hour. She began the descent at 10 a.M. And finished at 6 p.M. What was her change in elevation after two hours?

Answers

Answer:

72 feet

Step-by-step explanation:

Given that:

The speed of Erica while descending down the mountain = 36 feet per hour

Time at which the descent was started = 10 AM

Time at which the descent was finished = 6 PM

To find:

The change in elevation after two hours ?

Solution:

First of all, let us learn about the relation between speed, distance and time.

The formula between speed, distance and time is given as:

[tex]Speed = \dfrac{Distance }{Time}[/tex]

Here, we are given that:

Speed = 36 feet per hour

Time = 2 hours

We have to find the Distance now.

Putting the given values:

[tex]36 = \dfrac{Distance}{2}\\\Rightarrow Distance = 36 \times 2\\\Rightarrow Distance = \bold{72\ feet}[/tex]

Change in elevation = 72 feet

I think of a number. I multiply it by 7. I add 12. The result is 40. What is the number I am thinking of?​

Answers

The number that you are thinking of is 4. To get this answer I did the opposite of how you received your answer.
40 - 12 = 28
28 ÷ 4 = 7
The number that you are thinking of is 4.

PLEASE HURRY I HAVE A LITTLE BIT OF TIME TO TURN IT IN

when is Ann's distance from home staying the same? give a reason to support your answer

Answers

Answer:

4.25-5 minutes

Step-by-step explanation:

Its shown in the graph and table that the speed was 0 between those times.

A television is on sale for 20% off its original price,p. Write a multiplication expression to
describe the sale price of the television.
A. 0.20p
C. 0.20p + P
D. p-0.20p
B. 0.20p-p

Answers

sale price of the television is c

HELP ASAP PLS!!!

p(x)=x^3 : m(x)= 4p(x-3)-5
Describe the transformation(s) performed on p(x) that produced m(x).
Then, write a specific equation for m(x).

Answers

4p(x-4)-5
That is my answer I hope I’m right have a merry Christmas

Super Salad Dressing is made with 8mL of oil for every 3mL of vinegar.
Which of the following mixtures will taste the same as Super Salad Dressing?
Group of answer choices

3 mL of oil for every 8 mL of vinegar

16 mL of oil for every 9 mL of vinegar

40mL of oil for every 25mL of vinegar

56 mL of oil for every 21 mL of vinegar

Answers

Answer:

56mL of oil for every 21mL of vineger

Step-by-step explanation:

56 is a multiple of 8, and 21 is a multiple of 3. 7 times 3 is 21, and 8 times 7 is 56. Hope this helped!

Statement: If 3x = 6, then x = 2. What is the contrapositive of the statement? Emeans not equal​

Answers

Answer:

x=2

Step-by-step explanation:

you are correct for x=2 because 6 divided by 3 is 2

find the ratio of 5m to 11m in simple ways

Answers

Answer:

5m to 11m simplified to a ratio would be 5:11.

Step-by-step explanation:

To calculate ratios, try to think of them as fractions instead.

When a ration is expressed in the "a to b" form, you can actually treat it as [tex]\frac{a}{b}[/tex]!

As an example, the ratio of 1 to 2 would be [tex]\frac{1}{2}[/tex]. and the ration of 5 to 9 would be [tex]\frac{5}{9}[/tex].

Hence, the ration of 5m to 11m would be [tex]\frac{5m}{11m}[/tex], which when simplified equals to [tex]\frac{5}{11}[/tex].

Now, we can do the opposite to the fraction! For example, [tex]\frac{10}{19}[/tex] would be equal to 10:19!

Hence, 5m to 11m simplified to a ratio would be 5:11!

Hope this helped!

Erica sells magazine subscriptions and makes a flat rate of $5.35 for each subscription she sells. If Erica made $42.80 on Monday, $64.20 on Tuesday and $74.90 on Wednesday, how many subscriptions did she sell in the three days

Answers

to find the number of subscribtion sold we divide the money she made by the price of subscription

monday:

42.80/5.35=8 subscriptions sold

tuesday:

64.20/5.35=12 subscriptions sold

wednesday:

74.90/5.35=14 subscriptions sold

8+12+14=34 subscriptions sold in 3 days

Answer:

34 subscriptions she sold

Sino may Alam dito pasagot Naman po please​

Answers

Answer:

Sorry i dont understand japanese... sorry;-;

Step-by-step explanation:

Please help me with this!!!!

Answers

The screen is blank.

t: 3(t + 3) + 5(3 + 2t) – 76 = 0

Answers

Answer:

[tex]\huge\boxed{\sf t = 4}[/tex]

Step-by-step explanation:

[tex]\sf 3(t+3)+5(3+2t)-76 = 0\\\\Expanding \ Parenthesis\\\\3t + 9 + 15 + 10t -76 = 0\\\\13t + 24 -76 = 0\\\\13t - 52 = 0\\\\Add \ 52 \ to \ both \ sides\\\\13t = 52\\\\Dividing\ both\ sides\ by\ 13\\\\t = 52/13\\\\t = 4\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807
Expand the brackets
—That’ll be 3t + 9 + 15 + 10t - 76 = 0
Then we rearrange
3t + 10t = 13t
15+9-76 = - 52

Therefore , it’ll be 13t - 52 = 0
Take “-52” to the other side then it’ll turn to “ +52”

13t = 52

Divide both sides by 13

13t/13 = 52/13

T = 4

Simple

5X + 2 = 12 two step eqation can someone help

Answers

The answer for X is X=2

5x+2=12
5x=10
X=2

what are the coordinates of the circumcwnter of this triangle

Answers

Answer:

A: (-1,5) B: (-2,-1) C: (8,-1)

Mr , Rodríguez tried to find the slope of the line, FIND HIS ERROR AND CORRECT IT .

Answers

Answer:

23

Step-by-step explanation:

Other Questions
crivez un pome de Nol Haiku. explain two ways in in which culture can be influenced A company sells two sizes of rugs. A small rug sells for $14.00 and a medium-size rug sells for $25.00. The company sold 80 rugs last month and had $1340 in sales. Let x equal small rugs and y equal medium rugs. Which of the following system of equations can be used to determine how many of each type of rug was sold? (5 points)A 40x + 40y = 8014x + 25y = 1340B x + y = 8014x + 25y = 1340C x + y = 3911x + 15y = 80D x + y = 8040x + 40y = 1340 1. I am not ------ in politics.interestinterestedinteresting Noel Magee purchased a micro-cut shredder at a sale price of $179.99. The regular selling price is $199.99. He also purchased a photo-smart printer at 25% off the regular price of $499.99. A. What is the markdown on the shredder? B. What is the markdown on the printer? what is the value of the nearest hundredth d=7.09 6.48 The outer edge of a circular running track is 330m long. If it is widened by 7m all around, find the cost of widening it at 8 per square metre. HELP THIS IS DUE IN 30 MINUTES ): An Orchestra has twice as many woodwind instruments as brass instruments. There are a total of 150 brass and wood instruments. How would I write and two different addition equations to describe this situation? Please help! Which excerpt from The Story of My Life by Helen Keller contains the best example of the author's use of vivid verbs? my teacher placed my hand under the spout The most important day I remember O Anger and bitterness had preyed upon me but I did not know this until afterward Mark this and return Save and Exit Next Submit entViewer/Activity # Coherent light from a laser shines through two slits 0.002 cm apart, producing an interference pattern on a screen. A bright central fringe is seen on the screen in line with a point directly between the slits. The next bright fringe is seen at an angle of 2 degrees above the central fringe (with a dark fringe between). What is the wavelength of the lasers light? (1 nm = 10-9 m) 1. How does Mosess message to the Jews( in the 10 Commandments) differ from the original conversation between God and Abraham? 2. What are three ways that Judaism differs from the polytheistic religions that came before it? Someone please help meeeeeeee out A city has 28 ambulances and 36 fire trucks . Find the ratio of the number of ambulances to the number of ambulances to number of fire trucks in simplest form what are the solutions ?[tex]7x ^{2} + 10x - 3 = x ^{2} + 3x[/tex] please help me with this question 9.(03.04 LC)Which of these strategies can be used when there are nine people available for a game of basketball? (1 point)Only allow points for free throwsPlay five on four instead of five on fivePut all experienced players togetherPlay the game more slowly how are the graphs of y=2x+1 and y=-2x+1 similar? how are they different? what is the percent of change from 800 to 40? SOLVE FIRST GETS BRAINLIEST WRONG ANSWERS WON'T EARN ANYTHING Can someone help me with this! Ty