What is the solution to the following system of equations
5x + 4y = 40 6x + 4y =44

Answers

Answer 1

Answer:

X=4, y=5

Step-by-step explanation:

5x + 4y =40 equation 1

6x + 4y =44 equation 2

-1(5x + 4y)=-1(40) multiply equation 1 by -1 so equation will eliminate y

-5x - 4y=-40 modif equation 1

6x + 4y= 44  equation 2

         x=4.     Add above 2 equations

solve for y:

5x + 4y =40

5(4)+4y=40

20+4y =40

4y=20

y=5

check solution ;

6x+4y=44

6(4) + 4(5)=44

24 + 20=44

44=44


Related Questions

Which expression shows the result of applying the distributive property to 9(2 + 5m)?
• 2 + 45m
O 18 + 45m
O 11 + 14m
18 + 5m

Answers

Answer:

18+45m

Step-by-step explanation:

You multiply when applying the distributative property:

9(2+5m)

18+45m multiply 9 by each value in parentheses

What is the length of leg s of the triangle below?

Answers

Answer:

E. 8

Step-by-step explanation:

It's a special right angle triangle. Hypotenuse is

[tex] \sqrt{2} x[/tex]

where x is the length of other legs. Also other two sides of triangle are always equal.

So to find the other leg divide by .

[tex] \sqrt{2} [/tex]

The length will be 8.

its math algebra 1 i need help

Answers

Answer:

The 3rd one which is C

Step-by-step explanation:

It's the 3rd one because if you look at the orange like where the 2 and the 4 is you will see the orange line is between them two which that's where the 3 will go and the others don't have that, so it C hope this helps you!

Help plzzzz I need the correct answers ASAP and that's my last marking period 4 and I'm in grade 12th

It's homework: Comprehension Questions - 3.1 Credit Basics:

Question 10: it's part 1 multiple choice questions and Part II: Analyze: Understanding Amortization

Janet just graduated from college, has a job she’s scheduled to begin in 3 months, and has decided to treat herself to 6 weeks of travel across South America before she buckles down and starts working full-time. To do the trip, she’s thinking of applying for a personal loan of $3500, and the bank she uses for her checking and savings account has offered her an interest rate of 24%. She has a goal of paying off the trip within two years, so she uses a Bankrate.com loan calculator and gets the following amortization schedule:


4) How many months does it take Janet to pay off her loan?


5) What is the total amount of interest Janet will pay at the end of the loan?

Answers

Answer:

try c

Step-by-step explanation:

Janette measures the heights in inches of some of the flowers in her garden to see which ones are growing more. The heights are listed below. Which line plot represents the data correctly? 7 1 2 712 7 7 7 1 2 712 6 3 4 634 7 1 4 714 7 1 4 714 7 1 4 714 7 7 6 1 2 612 7 3 4 734 7 3 4 734 6 3 4 634 8 1 4 814 7 7 7 1 2 712 7 7 7 1 4 714 7 7 7 1 2 712 7 1 2 712

Answers

Answer:

Dot plot A

Step-by-step explanation:

In other obtain the solution to the question given, we obtain the frequency distribution of the data values given and compare to the box plots given to identify which boxplot correctly conveys the data.

___ Frequency

6 1/2 - 1

6 3/4 - 2

7 = 5

7 1/4 = 4

7 1/2 = 5

7 3/4 = 2

8 1/4 = 1

Convert 100° to radians. Will mark brainlist if correct

Answers

5pi/9 C:

100/180 * pi = 5/9 * pi

What is the volume of hemisphere with a radius of 8 ft rounded to the nearest tenth of cubic foot

Answers

Answer:

1072.3[tex]ft^{3}[/tex]

Step-by-step explanation:

A hemisphere is half of a sphere, so the volume V of the hemisphere is the volume of the sphere divided by 2.

V = (2/3)*[tex]\pi[/tex][tex]r^{3}[/tex]

   = (2/3)*[tex]\pi[/tex][tex](8ft)^{3}[/tex]

   = (2/3)*[tex]\pi[/tex]*512[tex]ft^{3}[/tex]

   = 1072.3[tex]ft^{3}[/tex]

a centre seat costs 25£ less than an aisle or window seat. A window or aisle seat costs a and a centre seat costs £271.complete the equation that describes this. how much does an aisle or window costs?​

Answers

Answer:

246

Step-by-step explanation:

271-25=246

If Joe earns $38,000 a year: 
1. How much does he make a month?
2. If his budget per month is $3,200, can he afford that on his salary?

Answers

1. Approximately $3,167 a month
2. No, Joe would be $33 short of his budget

help asap pleaseeee !!!!!!

Answers

Answer:

C. ⅓ × (8 + 7) + 12

Step-by-step explanation:

Let's translate each statement given to numerals and symbols first:

Twelve => 12

One-third => ⅓

Sum of 8 and 7 => (8 + 7)

Representing this statement altogether will be:

⅓ of (8 + 7) = ⅓ × (8 + 7)

If 13 is added, we would get:

⅓ × (8 + 7) + 12

PLEASE HELP ASAP I have no idea how to solve this pls pls pls

Answers

Answer:

Step-by-step explanation:

you have to use trigonometric functions

cos 30 = adj. /hyp.

cos 30 = 12 / y

y = 12/cos 30 ≅13.86

tan 30 = opp./adj

tan30 = x / 12

x = 12 tan30 ≅6.93

the table describes some of the solutions of the inequality 3m>21. Which graph best describes the solutions of 3m>21?

Answers

Answer:

Option 3

Step-by-step explanation:

Given inequality is,

[tex]3m\geq 21[/tex]

To find the solutions of the given inequality solve this inequality first.

[tex]\frac{3m}{3}\geq \frac{21}{3}[/tex]

[tex]m\geq 7[/tex]

This inequality will be represented by an arrow starting from 7 and directing towards infinity.

Since, inequality is having a sign notation of greater than equal to, arrow will start with a dark circle located at 7.

Therefore, Option 3 (from the top) will be the answer.  

The probability that Gerald makes a three-point shot in basketball is 20\%20%20, percent. For practice, Gerald will regularly shoot a series of these shots until he succeeds at one. He's curious how many shots it will typically take him to get his first successful shot.

He simulated 404040 trials of three-point shots where each shot had a 0.20.20, point, 2 probability of being successful, and in each trial, he counted how many shots it took to get the first successful shot. Here are his results:


Use his results to estimate the probability that it takes 101010 or fewer shots to get his first successful shot.

Give your answer as either a fraction or a decimal.

Answers

Answer:

[tex]P(x \le 10) = 0.85[/tex]

Step-by-step explanation:

Given

See attachment for properly presented question

Required

[tex]P(x \le 10)[/tex]

From the question, we understand that he takes 40 shots (trials)

So:

[tex]n = 40[/tex]

From the attached plot, the number of attempts up to the 10th is:

[tex]x \le 10 = 9+6+5+4+4+2+2+0+1+1[/tex]

[tex]x \le 10 = 34[/tex]

So, we have:

[tex]P(x \le 10) = \frac{n(x \le 10)}{n}[/tex]

[tex]P(x \le 10) = \frac{34}{40}[/tex]

[tex]P(x \le 10) = 0.85[/tex]

What is the value of x in the equation 2x + 3y = 36, when y = 6? A. 8 B. 9 C. 27 D. 36​

Answers

Answer:

x = 9

Step-by-step explanation:

When y = 6 :

2x + 3y = 36

2x + 3(6) = 36

2x + 18 = 36

2x = 36 - 18

2x = 18

x = 9

3.2x4.9-1.5 simplify

Answers

Answer:

14.18

Step-by-step explanation:

3.2*4.9= 15.68

15.68 -1.5 = 14.18

can someone teach me how to solve for surface area of a rectangular prism or something that looks like this i have a huge test tmr and i have so much anxiety….

Answers

Answer:

52 meters squared

Step-by-step explanation:

Hey, don't worry you'll do great on the test. Just relax before it and you'll be fine.

Basically, you need to find the area of each rectangle which isn't too hard. AS you can see, the first one 4 m x 5m = 12 m which is your first number. Then you can see another red rectangle. Since it's a net, the 4m side length would be the same and the other one is labeled 3 m. So, 4x3 = 12m. That's your second one. Then you see a yellow rectangle on the far left. Since we know the red rectangle has one side length of 3m, we can apply that to the yellow ones as well since it's a net. So 2x3=6 and same for the other yellow rectangle. Then, we see the purple rectangle on the top which has one length of 2m. But, the red rectangle below it had a length of 4m so we can bring that to this as well. so 2x4 = 8m (another number). Then, finally, the last rectangle below has one side of 4m and the yellow rectangle (remember) above has one side length of 2m (which we would bring down). So, 4x2=8m. So, we add them all together. 12+12+8+8+6+6 = 52 meters squared (dont forget units!)

Sorry if this was too long, but an edit: if you notice all the same colored rectangles have the same area, since it's a rectangular prism. so if you find one of the same color, you basically have the other one as well.

Good luck on your test, hope you do well!!

Find the area of the figure.

Answers

Answer:

132

Explanation:

All you need to do is separately find the area of the shapes that are part of the figure (in this case the trapezoid and rectangle), and then add them all up.

1.(7x4) + (1/2x8[7+19])

2. 28 + 104

3. 132

~Hope this helps you~

The diameter of a circle measures 20 yd. What is the circumference of the circle?
Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.
20 yd
yd

Answers

Answer: 62.8 yd

Step-by-step explanation:

Circumference= diameter*pi

20*3.14= 62.8

h(x) = 18.75 - 4.53x What is the value of h(−11)?

Answers

Answer:

h(-11) = 68.57

Step-by-step explanation:

h(x) = 18.75 - 4.53x

h(-11) = 18.75 - 4.53(-11)

h(-11) = 18.74 + 49.83

h(-11) =:68.57


If /\PQR~/\SQT, find the value of x.

Answers

Answer:

[tex] \frac{x + 13}{8} = \frac{21}{x - 9} \\ {x}^{2} + 4x - 117 = 168 \\ {x}^{2} + 4x - 285 = 0 \\ (x - 15)(x + 19) = 0 \\ x = 15 \\ x = - 19[/tex]

A cylinder has radius 3 meters. Its volume is 141.3 cubic meters. Find its height to the nearest tenth
of a meter.

Answers

Answer:

Height = 5meters

Step-by-step explanation:

Using the formula h= v over 3.14r^2 = 141.3 over 3.14 times 3^2 gives us 4.99747 meters.

Hello! Would appreciate help!!

Find the value of x. Round to the
nearest tenth.

Answers

Answer:

17.14

Step-by-step explanation:

tan 35 = 12/x

x = 12/ tan 35

= 17.14

Mrs. McClure's famous peanut butter cookies call for 1 cup of peanut butter for every 1 2 of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil. How much peanut butter should she use?

Answers

Answer:

Amount of butter need for 1 cup of oil = 2 cup of butter

Step-by-step explanation:

Given:

Amount of butter need for 1/2 cup of oil = 1 cup

Find:

Amount of butter need for 1 cup of oil

Computation:

Amount of butter need for 1/2 cup of oil = 1 cup

1 cup butter = 1/2 cup oil

So,

Amount of butter need for 1 cup of oil = 1 / [1/2]

Amount of butter need for 1 cup of oil = 1 / [0.5]

Amount of butter need for 1 cup of oil = 2 cup of butter

what is the value of x?

Answers

15 ehdhbdbbfbfhfhfbrfhhfhfhfhfhfhfhhfhfhfhfhfhhffjjfh
15 is the answer bdbdjjsjwushs

A marble started with 0.0018 J of Potential Energy and at some point later it has only 0.0011 J of Potential Energy. How much Kinetic Energy does the marble have?

Answers

Answer:

the Kinetic Energy of the marble at the later point is 0.0007 J

Step-by-step explanation:

Given;

initial potential energy of the marble, P.E₁ = 0.0018 J

final potential energy of the marble, P.E₂ = 0.0011 J

At the initial starting point, the total mechanical energy is;

M.E = K.E + P.E

at the initial starting point, velocity = 0

M.E = 0 + P.E

M.E = P.E = 0.0018 J

At some point later, the total mechanical energy is;

M.E = P.E + K.E

0.0018 J = 0.0011 J + K.E

0.0018 J - 0.0011 J = K.E

0.0007 J = K.E

Therefore, the Kinetic Energy of the marble at the later point is 0.0007 J

What percent of the data is between 30 and 50 on the number line?

Answers

Answer:

20 percent

Step-by-step explanation:

50 - 30 = 20 percent

it is 20!! because 50-30=20

I need help!!!!!!!!!?

Answers

Is it radius or circumference?

Choose a number sentence is that illustrates distribute property of multiplication over addition 2×7+8 = 2+7×2+8

Answers

Answer:

[tex](b)\ 2 * (7 + 8) = (2 * 7) + (2 * 8)[/tex]

Step-by-step explanation:

Given

[tex](a)\ 2 * (7 + 8) = (2 + 7) * (2 + 8)[/tex]

[tex](b)\ 2 * (7 + 8) = (2 * 7) + (2 * 8)[/tex]

[tex](c)\ 2 * (7 + 8) = (2 * 7) + 8[/tex]

Required

Which illustrates distributive property of multiplication over addition

The property states that:

[tex]a(b + c) = a * b + a * c[/tex]

By comparison

[tex]a = 2\ b = 7\ c = 8[/tex]

So, we have"

[tex]2(7 + 8) = 2 * 7 + 2 * 8[/tex]

[tex]2(7 + 8) = (2 * 7) + (2 * 8)[/tex]

= 1 cubic ft
What is the volume of the solid figure? Enter the answer in the box.

Answers

Answer:

800

hope this helps

I need to turn this in ASAP please help!-

In the last three years, Frederico's basketball team won 50 more games than they lost. If they won 130 games, what was the ratio of wins to losses? Write the ratio in all three forms. 13/8, 13 to 8, 13:8 13/18. 13 to 18. 13:18 5/13, 5 to 13, 5:13 13/5. 13 to 5, 13:5​

Answers

Answer:

13/8, 13 to 8, 13:8

Step-by-step explanation:

if they won 50 more than they lost and won a total of 130 games, this means they lost 80 games (130-50=80). we can then write this as 130:80, which simplifies to 13:8

Answer:

The answers are 13/8, 13 to 8, 13:8.

Step-by-step explanation:

Since Frederico's team won 50 more games than they lost, and the won 130 games, then you would subtract the two numbers to find their losses:

130 - 50 = 80

The ratio of there wins to losses is 130 to 80.

Then you need to simplify this answer, which would make the ratio 13 to 8.

Three ways to write this are 13/8, 13 to 8, 13:8.

It would be ABSOLUTLEY FANTABULOUS if I could get brainliest!!!!

Other Questions
What is a empirical formula Analia has $550 in her checking account. She wantsto spend part of this money on a VR-Headset. Shewants to have at least $225 left in her checkingaccount after buying a VR-Headset. The inequalityshown can be used to find t, the amount of moneyin dollars that Analia can spend on a VR-Headset.Solve the inequality.t + 225 550 Healthy human lungs look pink and spongy from the outside. The left lung is a little smaller than the right lung to make room for the heart. The lungs and heart are both protected by the rib cage. In the lungs, each main bronchus branches off into many smaller bronchi. The bronchi become smaller and smaller, and the smallest bronchi are called bronchioles. There are about 30,000 bronchioles in each lung, each about the same thickness as a strand of hair. The inhaled air eventually ends up in tiny air sacs called alveoli at the end of each bronchiole. There are about 300 million alveoli in each lung. They are covered with capillaries, tiny blood vessels that are only one cell thick. Oxygen travels from the alveoli through the capillaries to the bloodstream, heart and other cells.Which of these best represents the progression of bronchi, bronchioles and alveoli in the lungs?Atree trunks that become smaller branches and twigsBa tight flower bud that has opened into a full bloomCwhole apples that are sliced into separate wedgesDa bridge that crosses two rivers What does a cell do during mitosis? 2. Thomas Alva Edison invented many things that improved daily life. He invented all of thefollowing , EXCEPT:O storage batteriesO the DictaphoneO the phonographO the hair dryer Answer this question please ASAP!!! Which character archetype does Andromeda represent in the story of Perseus? hero mentor sidekick damsel in distress Using the work shown on the left, What is the cubed root of 4/ the square root of 2 in simplest radical form I need help with this!!!!!!!!! The following are six observations collected from treatment 1, four observations collected from treatment 2, and five observations collected from treatment 3. Test the hypothesis at the 0.05 significance level that the tre atment means are equal.a) state the null and the alternate hypothesesb) What is the decision rulec). c) Compute SST, SSE, and SS totald) Complete an ANOVA tablee) State your decision regarding the null hypothesisTreatment 19, 7, 11, 9, 12, 10Treatment 213, 20, 14, 13Treatment 3 10, 9, 15, 14, 15 Based on the audio, what does Belinda do first? Bathes Does her hair Paints her nails Shaves Does a circle have a diameter of 7.6 feet which measurement is closest to the circumference of the circle in feet? math problem, help me please!! What are 3 data Gathering method that you find effective in creating interactive design for product interface and justify your answer? Hurry plzzzWhat impact did new technologies in the assemblyand manufacturing have on the auto industry in the1920s?Car production continued at roughly the same pace.Trucks outnumbered passenger cars in sales.Truck production increased rapidly.Car production increased rapidly. Your friend Harold is trying to decide whether to buy or lease his next vehicle. He has gathered information about each option but is not sure how to compare the alternatives. Purchasing a new vehicle will cost $28,500, and Harold expects to spend about $700 per year in maintenance costs. He would keep the vehicle for five years and estimates that the salvage value will be $11,300. Alternatively, Harold could lease the same vehicle for five years at a cost of $3,705 per year, including maintenance. Assume a discount rate of 10 percent.Requirement:1. Calculate the net present value of Harolds options. (Future Value of $1, Present Value of $1, Future Value Annuity of $1, Present Value Annuity of $1.) (Use appropriate factor(s) from the tables provided. Negative amounts should be indicated by a minus sign. Round your final answers to 2 decimal places.2. Advise Harold about which option he should choose.Lease OptionPurchase Option Please help! I have part of the answer but I need help with the slope and understanding the solution space. Thanks!3. (05.06 MC)Graph the system of Inequalities presented here on your own paper, then use your graph to answer the following questions:y > 3x + 10y Jerome, kevin and seth shared a submarine sandwhich. Jerome ate 1/2 of the sandwich , kevin ate 1/3 of the sandwich, and seth ate the rest. What is the ratio of jerome's share to kevin's share to kevin's share to seth's share? Monetary policy refers to Group of answer choices the change in private expenditures that occurs as a consequence of changes in the money supply. changes in the money supply to achieve particular economic goals. changes in government expenditures and taxation to achieve particular economic goals. actions taken by banks and other financial institutions regarding their approaches to lending, account management, etc. Select S if the sentence fragment is a subject (noun phrase) or P if it is a predicate (verb phrase).the weary little boySP