Solve the following system of Equations in any method you choose.
3x - y = 7
2x + y = 8

Answers

Answer 1

Answer:

x=3 and y=2

Step-by-step explanation:

Rewrite equations:

3x−y=7;2x+y=8

Step: Solve3x−y=7for y:

3x−y=7

3x−y+−3x=7+−3x(Add -3x to both sides)

−y=−3x+7

−y

−1

=

−3x+7

−1

(Divide both sides by -1)

y=3x−7

Step: Substitute 3x−7 for y in 2x+y=8:

2x+y=8

2x+3x−7=8

5x−7=8 (Simplify both sides of the equation)

5x−7+7=8+7 (Add 7 to both sides)

5x=15

5x5

=

15/5

(Divide both sides by 5)

x=3

Step: Substitute 3 for x in y=3x−7:

y=3x−7

y=(3)(3)−7

y=2(Simplify both sides of the equation)


Related Questions

Please help me i need to complete this by tomorrow

Answers

Answer:

Step-by-step explanation: Need to work out your scale factor which is 1.5.

8 * 1.5 = 12

CE = 12

12 * 9 = 108/2 = 59 that is the area of triangle ACE

8 * 6 = 48/2 = 24 that is the area of triangle BCD

ACE - BCD = ABDE

59 - 24 = 35cm^2

Translate the statement five times the difference of a number and 3 is 17

Answers

Answer:

5(n-3)=17

Hope this Helps!

n is the variable I chose I didn't know if their had to be a specific one.

Step-by-step explanation:

as lead crime investigator you have been called to a crime that is on a bearing of 016degree from your lab and 342degree from the police station
from your initial investigation there are six suspects. using the table below , find their locations.

Answers

Step-by-step explanation:

In India, the first step towards criminal proceeding is an investigation by the police. The investigation is the exclusive domain of the police and can not be curtailed in normal circumstances. The main purpose of an investigation is the identification of the offender so as to serve him with punishment for the crime done by him in accordance with the provisions contained under law. According to Section 156 of the Code of Criminal Procedure, the police have unfettered powers to investigate into a cognizable offence. The term cognizable offence is any act or omission committed by a person under any law in force which is punishable and is considered to be a crime. The police have the authority to arrest any person who has committed a cognizable offence. Beside Criminal investigation, there are other types of investigations which become the part of the life of an investigator. Some of the types of investigation are as follows:

Civil investigation: These are the investigations which are carried on during the civil suits in which violation of law is generally not included and the question of money or property is to be settled;

Negligence investigation: These types of investigations are conducted either by the plaintiff’s counsel to prove the liability of the defendant or by the defendant’s attorney to refute the claims of the plaintiff. It is accomplished by the use of surveillance, interviewing the witnesses;

Corporate investigation: In Corporate investigations the investigator monitors the business of the company and also provides the information about the fraud within or outside the company;

General investigation: It is like an umbrella term including a great variety of investigative activities. These activities may be conducted for different purposes like the determination of the location of witnesses, dishonest employees, fraud etc.


Your grandfather is a coin collector. He has 50 coins of gold or silver separated into 7
bags. Gold coins are in packs of 6 and silver coins are in packs of 8. How many bags of
each coin does he have?
4 bags of gold and 3 bags of silver
2 bags of gold and 5 bags of silver
3 bags of gold and 4 bags of silver
5 bags of gold and 2 bags of silver

Answers

Answer:

c

Step-by-step explanation:

a = 48 coins   4 x 6 = 24    3 x 8 = 24     24 + 24 = 48

b = 52 coins   2 x 6 = 12     5 x 8 = 40     40 + 12 = 52

c = 50 coins   3 x 6 =18      4 x 8 = 32      32 + 18 = 50   correct

d = 46 coins   5 x 6 = 30    2 x 8 = 16       30 + 16 = 46

Plz help need this last question

Answers

Answer:

a = -√3/3

b = 2√3/3

Step-by-step explanation:

Finding the slope of the tangent at C  by finding the derivative:

x^2 + y^2 = 1

2x + 2y y' = 0

2y y' = -2x

y' = -2x / 2y = -x/y

So the slope = - 1/2 / √3/2

= -1/2 * 2/√3

= -1/√3

= -√3/3

Using the point-slope form of a straight line

y - y1 = m(x - x1)

y - √3/2 = -√3/3(x - 1/2)

y - √3/2 =  -√3/3 x +√3/6

y =  -√3/3 x + √3/6 +√3/2

y =  -√3/3 x + 4√3/6

y = -√3/3x +  2√3/3

A sum of 300 pounds into the ratio of 1:2:2. How much is the smallest share?

Answers

Answer:

60

Step-by-step explanation:

Summing the ratios gives 1+2+2=5

300/5 = 60

(1 x 60) + (2 x 60) + (2 x 60)

(60) + (120) + (120) = 300

Hence the least share is 60

The other two shares are equal which is 120

If there are 13400 students at Rocky Valley College and 1/4
take speech, how many students take a speech at rocky valley college

Answers

Answer:

three thousand three hundred and fifty.3,350

Step-by-step explanation:

the question given was:1/4 take a speech, so how many?: one fourth, if you divide 13,400 by 4 its 3,350. that is one fourth  of 13,400. So, if you add 3,350 four times, it would be 13,400.

Hope this helped!<3

There are 24 people in a gym class. What fraction represents the number
of people doing yoga? *1/2 of the people are jogging *1/3 of the people are
lifting weights *the remaining are doing yoga

Answers

Answer:

1/6

Step-by-step explanation:

It is the least common denominator. 1/2 x 3 = 3/6.  1/3 x  2 = 2/6    3+2 = 5.

5/6 Has one numerator left before it becomes whole. So yoga people are represented by 1/6.

Answer:

1/6 of the people are doing yoga

Step-by-step explanation:

1/2 of 24 + 1/3 of 24 + 1/6 of 24

1/2 of 24 = 12

1/3 of 24 = 8

24 - (1/2 + 1/3) = 4 or 24 - (12 + 8) = 4

4 = 1/6 of 24

1/2 + 1/3 + 1/6 = 24

(1/2)*24=12

(1/3)*24=8

(1/6)*24=4

((1/2)*24) + ((1/3)*24) + ((1/6)*24)

PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!

Answers

Option D is graph .

Graph of all 4 functions attached

Black one is the 4th one

Answer:

[tex]y=\sqrt[3]{x+3}+3[/tex]

Step-by-step explanation:

From inspection, we can see that the base graph is [tex]y=\sqrt[3]{x}[/tex]

(As the graph of [tex]y=\sqrt{x}[/tex] is only valid for x ≥ 0 ⇒ y ≥ 0)

The center of [tex]y=\sqrt[3]{x}[/tex] goes through the origin (0, 0)

From inspection, we can see that the center of the curve is now at (-3, 3)

So the graphed function has been shifted 3 units left:

[tex]\implies y=\sqrt[3]{x+3}[/tex]

and shifted 3 units up:

[tex]\implies y=\sqrt[3]{x+3}+3[/tex]

5 to the 4th power times 10 to the 4th power

Answers

Answer:

6250000

Step-by-step explanation:

Answer:6250000

Step-by-step explanation:

what day is it
brainliest

Answers

Answer: Friday, October 23.

Answer:

Friday

Step-by-step explanation:

Find the surface area of the composite figure
Rectangle 4cm 4cm 12cm
Triangle 6cm

Answers

Answer: 256

Step-by-step explanation: The triangle needs to be multiplied 6x4 then 4 again for the sides of the triangle and divided by two. As for the rectangle you multiply the front which is 48 and the front is the back so 48+48 then the fours which are the bottom that then equals 16 do not use that for the top the top does not count because that is what the shapes are connected by then finally 48 for the top and bottom then add 48+48+48+48+16 to get your answer.

What is the slope of a line that is parallel to y = 1x and goes through the point (1, 9).​

Answers

Both lines have the same slope of 1

The unknown line is y=x+8

Look at the photo for the graph

Question: You are playing your favorite video game, Hero's Quest. In the game, you can complete missions to earn experience points. You may complete a mission as many times as you would like, but each time you do, you only receive 80% as much experience as the previous time. The first time that you complete Mission A, you earn 1000 experience, points. The second time you complete it, you earn 800 experience points. How many times can you complete the mission before you earn less than 400 points? Explain your answer​

Answers

Using a geometric sequence, it is found that you can complete the mission 5 times before you earn less than 400 points.

What is a geometric sequence?

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

In this problem, the amount of points after n times is a geometric sequence with [tex]a_1 = 1000, q = 0.8[/tex], hence the equation is:

[tex]a_n = 1000(0.8)^{n-1}[/tex]

You will earn less than 400 points when:

[tex]a_n < 400[/tex]

Hence:

[tex]1000(0.8)^{n-1} < 400[/tex]

[tex](0.8)^{n-1} < 0.4[/tex]

[tex]\frac{0.8^n}{0.8} < 0.4[/tex]

[tex]0.8^n < 0.32[/tex]

[tex]\log{0.8^n} < \log{0.32}[/tex]

[tex]n > \frac{\log{0.32}}{\log{0.8}}[/tex]

[tex]n > 5.1[/tex]

You can complete the mission 5 times before you earn less than 400 points.

More can be learned about geometric sequences at https://brainly.com/question/11847927

Factor −5
out of −10a−25

Answers

Answer:

-5(2a+5)

Step-by-step explanation:

Just divide all the numbers by -5, slap a parentheses on and your done.

A submarine starts at surface of the
water. After 25 minutes, it is 2750 feet
below sea level. If the submarine is
traveling at a constant rate, what is the
submarine's elevation change per
minute?

Answers

Answer:

110

Step-by-step explanation:

2750ft/ 25mins = 110 ft per min. I hope this helps.

What is the lcm of 7 and 21​

Answers

Answer:

21

Step-by-step explanation:

7x3=21

21x1=21

EASY

Solve for n. 5(n+4)=50

n = 5

n = 6

n = 8

n = 10


Please help by today!
Thank you <3

Answers

Answer:

n = 6

Step-by-step explanation:

5(n + 4) = 50

5n + 20 = 50

5n = 30

n = 30/5

n = 6

Answer: N = 6
5(n+4) = 50
5n + 20 = 50
5n = 30
N = 6

Solve system of equations

3x+6y=3
X+2y=1

Answers

Answer:

has infinite solution

Step-by-step explanation:

(x,y)=(1-2a,a) where a is an element of any real number

Punctele o, a, b, c sunt coliniare in aceasta ordine , iar segmentele oa, ab si bc au lungimile exprimate in cm , prin numere naturale pare consecutive . Se stie ca m este mijlocul segmentului ac si om = 11 cm . Calculati : a) lungimea segmentului oc b) distanta dintre n , mijlocul segmentului ob , si punctul m

Answers

Answer:

???

Step-by-step explanation:

The restaurant check is $54.50. Mary wants to leave a 20% tip for the server. What is the tip amount?


20 points, I'll give brainliest, SHOW YOUR WORK PLEASE :)

Answers

Answer:

$10.90

Step-by-step explanation:

Turn your 20% tip into a decimal (0.20) and multiply that by the overall check. $54.50 x 0.20 = $10.90

What is the volume of this cylinder?


Use ​ ≈ 3.14 and round your answer to the nearest hundredth.


32 yd

14 yd


cubic yards

Answers

Answer:

11253.76

Step-by-step explanation:

GIven Information;

Height = 14 yd

Diameter = 32 yd

Note;

Radius = d/2

Since Radius = d[Diameter] /2 then 32/2 = 16 yd

Solve;

Volume of cylinder formula;

= [tex]\pi r^2h[/tex]

Using = 3.14

[tex](3.14) (16^2)(14)[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:3.14\cdot \:14=43.96[/tex]

[tex]=16^2\cdot \:43.96[/tex]

[tex]=256\cdot \:43.96[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:43.96\cdot \:256=11253.76[/tex]

[tex]=11253.76[/tex]

[RevyBreeze]

Answer:

[tex]\huge\boxed{\sf 11253.76\ yd^3}[/tex]

Step-by-step explanation:

Height = h = 14 yd

Diameter = d = 32 yd

Radius = d/2 = 32/2 = 16 yd

Volume of cylinder:

[tex]= \pi r^2 h\\\\= (3.14)(16)^2(14)\\\\= (3.14)(256)(14)\\\\= 11253.76\ yd^3\\\\\rule[225]{225}{2}[/tex]

Can someone find the area for each of the shown triangles? A,B,C,D,E and F

Answers

Answer:

A = 24cm

B = 14cm

C = 30cm

D = 40cm

E = 27cm

F = 65cm

can i get some help on this please... hurry

Answers

Answer:

The first one. 5+(-7);-2

Step-by-step explanation:

The start of the arrow is on positive 5, so it doesn't need a - in front of it. Then the arrow goes back 7 places, meaning it is adding onto the 5 but it is a (-7). Then the arrow ends on -2, so that would also get rid of the bottom two answers and leave the top two. Putting all of this together looks like this:

+5

+(-7)

=-2

5+(-7);-2

Sorry, this might not be that much of help now. If this assignment was already turned in. Sorry for not answering sooner.

A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm. a regular hexagon has an apothem with length 14 centimeters and a perimeter of 96 centimeters. what is the approximate area of the hexagon? 224 cm2 336 cm2 448 cm2 672 cm2

Answers

The area of the hexagon is the sum of triangles in it. Then the area of the hexagon is 672 square cm.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm.

We know that the area of the hexagon is the sum of triangles in it.

Area of hexagon = 6 × area of a triangle

The length of a side of the hexagon will be

6 × Side = 96

     Side = 16

The area of the triangle will be

[tex]\rm Area \ of \ triangle = \dfrac{1}{2} *14*16\\ \\Area \ of \ triangle = 112 \ cm^2[/tex]

Then the area of the hexagon will be

Area of hexagon = 6 × 112

Area of hexagon = 672

The area of the hexagon is 672 square cm.

More about the geometry link is given below.

https://brainly.com/question/7558603

Answer:

672 took the test

Mr. Baker worked 42 hours and earned $504.00. How much did he make per hour

Answers

Answer:

The answer is 12 remainder 6 but if it is a decimal form question it is 12.6

Answer:

the answer s 12$

Step-by-step explanation:

because if you do 504 divided by 42 you get 12 and if you do it backwards

42x12 you will get 504

ILL GIVE BRAINLIEST!!
Select all of the expressions that are equivalent to
4x – 5 +6.

4x + (-5)+(6)
4x - 6+5
4x + 1
5x
5 + 6 - 4x

Answers

Answer:

4x + (-5) + (6)

4x + 1

hope that helps

During the first year of operation, a company produced 8.4 x 10 9 reams of paper. During the second year, the company produced 5.6 times the number of reams of paper that it produced during the first year. Which expression represents the number of reams of paper the company produced during the second year?

Answers

Using proportions, it is found that the expression that represents the number of reams of paper the company produced during the second year is:

[tex]4.704 \times 10^{10}[/tex]

What is a proportion?

A proportion is a fraction of a total amount.

In the first year, the company produced [tex]8.4 \times 10^9[/tex] reams, and in the second year, 5.6 times that, that is, we multiply the amount by 5.6, hence:

[tex]5.6 \times 8.4 \times 10^9 = 47.04 \times 10^9 = 4.704 \times 10^{10}[/tex]

Which is the desired expression.

More can be learned about proportions at https://brainly.com/question/24372153

ABCD is a quadrilateral. Work out the length of CD. Give your answer to 3 significant figures

Answers

Check the picture below.

[tex]sin(35^o)=\cfrac{\stackrel{opposite}{12}}{\underset{hypotenuse}{BD}}\implies BD=\cfrac{12}{sin(35^o)} \\\\[-0.35em] ~\dotfill\\\\ \textit{Law of sines} \\\\ \cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{sin(52^o)}{BD}=\cfrac{sin(102^o)}{CD}\implies CD=\cfrac{BD\cdot sin(102^o)}{sin(52^o)} \\\\\\ CD=\cfrac{\frac{12}{sin(35^o)}\cdot sin(102^o)}{sin(52^o)}\implies CD=\cfrac{12\cdot sin(102^o)}{sin(35^o)\cdot sin(52^o)}\implies CD\approx 26.0[/tex]

SOMEONE HELP ITS DUE TODAY PLEASE!!!

Answers

i believe the answer would be c, because you leave the base alone and work on the exponents first. when dividing terms with exponents you subtract the exponents, so the equation would be something like -9-(-12) which is the same as -9+12 which equals 3, so the answer should be c, 3^3. hope this helps!
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