Solve the system of equations

4x+3y=16
y=x+3
X=
Y=

Answers

Answer 1

First you substitute.

[tex]4x+3(x+3)=16\\4x+3x+9=16\\7x=7\\x=1\\y=4[/tex]

Answer 2

Answer:

x = 1 and y = 4

Step-by-step explanation:

Because y = x + 3 we can substitute 3y with 3(x + 3)

4x + 3(x + 3) = 16

4x + 3x + 9 = 16

7x + 9 = 16

7x + 9 - 9 = 16 - 9

7x = 16 - 9

7x = 7

7x ÷ 7 = 7 ÷ 7

x = 7 ÷ 7

x = 1

Since y = x + 3 and x = 1 y = 4.

1 + 3 = 4

x = 1 and y = 4

Check:

x = 1 and y = 4

1 x 4 + 3 x 4 = 16

4 + 12 = 16


Related Questions

a building has two sizes of Apartments small irregular the ratio of small apartments to regular Apartments is 14 to 6 what percent of apartments in the building are small ​

Answers

Answer is in the file below

tinyurl.com/wpazsebu

write each power as a product of the Same factor then find the value 1. 4^3 2. 2^6 3. 8^4 4. 12^2​

Answers

Answer:

15^3=15×15×15=3375

0^4=0×0×0×0=0

5^5=5×5×5×5×5=3125

3.5^2=3.5×3.5=12.25

6^5=6×6×6×6×6=7776

7^4=7×7×7×7=2401

1^8=1×1×1×1×1×1×1×1=1

2.5^3=2.5×2.5×2.5=15.625

Step-by-step explanation:

Simplify.
5a√2+3a√2


16a
8
8a

Answers

Answer:

8a[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Given

5a[tex]\sqrt{2}[/tex] + 3a[tex]\sqrt{2}[/tex] ← factor out [tex]\sqrt{2}[/tex] from each term

= [tex]\sqrt{2}[/tex] (5a + 3a)

= 8a[tex]\sqrt{2}[/tex]

what is the area of yhe following circle?either an exact answer in terms of or use 3.14 for and enter your ansert as a decimal
r=5
units2 ​

Answers

Answer and Step-by-step explanation:

If the radius is 5, then we can plug 5 into the area of a circle equation.

A = [tex]\pi r^{2}[/tex]

A = [tex]\pi (5)^{2}[/tex]

A = 25[tex]\pi[/tex]

The area of a circle with radius 5 is 25[tex]\pi[/tex].

#teamtrees #PAW (Plant And Water)

Which of the following is a TRUE statement about check cashing stores?

Answers

did you attach a photo?

If the radius is 8m, what is the diameter​

Answers

Answer:

16m

Step-by-step explanation:

radius is half of diameter​

What is the slope of a line parallel to the line whose equation is 6x -2y= 32. Fully simplify your answer

Answers

Step-by-step explanation:

Given equation is

6x -2y= 32.........i)

Slope of line I) is

[tex]m1 = \frac{ - x \: coefficient}{y \: coefficient} \\ = \frac{ - 6}{ - 2} \\ = 3[/tex]

Now

As it is said that the lines are parallel so slope, m1 = m2

So the slope of a line parallel to line I) is

= 3

Hope it will help :)❤

Many consumer groups feel that the U.S. Food and Drug Administration (FDA) drug approval process is too easy and, as a result, too many drugs are approved that are later found to be unsafe. On the other hand, a number of industry lobbyists have pushed for a more lenient approval process so that pharmaceutical companies can get new drugs approved more easily and quickly. Consider a null hypothesis that a new, unapproved drug is unsafe and an alternative hypothesis that a new, unapproved drug is safe.
a. Explain the risks of committing a Type I or Type II error.
b. Which type of error are the consumer groups trying to avoid? Explain.
c. Which type of error are the industry lobbyists trying to avoid? Explain.
d. How would it be possible to lower the chances of both Type I and Type II errors?

Answers

Answer:

A) The risk of committing Type I error would imply that an unsafe drug is approved. However, the risk of committing a Type II error would imply that a drug is safe but not approved.

B) They are trying to avoid type I error because they don't want drugs that are unsafe to be approved.

C) They are trying to avoid type II errors because the companies would have to continue testing even when the drugs are safe.

D) To lower the chances of type I error, the significance level has to be reduced and they need to make sure that the tests are run for longer periods so that a good representation of the sample size would have been tested which means we are increasing the credibility of the test results.

To lower the chances s of type II error, we have to ensure we increase the sample size and decrease the variants of the drugs.

Step-by-step explanation:

In errors in statistics, we can define type I error as when the null hypothesis is rejected even when it is true while a type II error is when we fail to reject the null hypothesis even when it is false.

A) The null hypothesis in this question is that a drug is unsafe. Thus, the risk of committing Type I error would imply that an unsafe drug is approved. However, the risk of committing a Type II error would imply that a drug is safe but not approved.

B) The consumer groups feel that too many approved drugs are found out later to be unsafe. Thus, they don't want drugs that are unsafe to be approved and it means they are trying to avoid type I error.

C) The error that the Industry lobbyists are trying to avoid is the Type II error. This is because the companies would have to continue testing even when the drugs are safe.

D) To lower the chances of type I error, the significance level has to be reduced and they need to make sure that the tests are run for longer periods so that a good representation of the sample size would have been tested which means we are increasing the credibility of the test results.

To lower the chances s of type II error, we have to ensure we increase the sample size and decrease the variants of the drugs.

Please can someone help me !!

Answers

Answer:

Step-by-step explanation:

for question 4, the x= 116 °  

they are just trying to show you that the degrees of the arc, is also the degrees of the angle from the center point of the circle.. and then they will get "tricky" with that idea :/

for question 5  x = 90 °

they just want you to recognize that a "tangent" line is  90 ° is all

for question 6 they want you to know this formula

(b -a) /2    where b = the bigger arc and a is the smaller arc

so (134 - 54) /2

80 / 2

40 °

the answer to 6 is 40 °

leave a comment if you want more explanation of how I got those :)

Mr. Cox's round baler bales a 4-foot-wide bale having a 5.25 foot diameter. He wants to wrap
the bale in a white wrapper. He must allow an extra 10 percent for lapping. How many square
feet of wrapping does each bale require?

Answers

Answer:

109.27 ft²

Step-by-step explanation:

SA = face + face + curve

SA = 2πr² + 2πrw

= 2π(2.625)² + 2π(2.625)(4)

= ~43.3 + ~65.97 = 109.27 = SA

Answer is 109.27 hope this helps

Sandra wants to solve the equation x2+2x−3 = 12 by using the factoring method. Which of the following should be her first step?

Answers

Answer:

her first step should be to multiply the coefficient of the first term by the constant   1 • -3 = -3

Step-by-step explanation:

i looked it up on tiger algebra lol

Graph a line with the given slope that passed through the given point.
slope: 0, point: (0, -2)

Answers

Answer:

Graph the line y = -2.

Step-by-step explanation:

A line with zero slope is a horizontal line.  Find (0, -2) on the y-axis and draw a horizontal line through it.  This will fully address this question.

Solve | 2x | = | x + 3 | by graphing

Answers

Answer:the answer is 3 and -1

Step-by-step explanation:

X=3

And

X=-1

Triangles & Trigonometry

Answers

Answer:

Answer: x = y = 2√7

Step-by-step explanation:

x = (2√14)cos45

x = (2√14)½√2

x = √14(√2) = √28 = 2√7

y = (2√14)sin45

y = (2√14)½√2

y = √14(√2) = √28 = 2√7

Find the weight in pounds of a 140-kilogram person. Round to the nearest hundredth.

Answers

Answer:

308 pounds

Step-by-step explanation:

2.2 pounds /kg

2.2 x 140 = 308 pounds

The correct answer rounded is 300 pounds.

sjdjwkfmwkfkekfmkdekjejwje

Answers

Answer:

I think yes but it could be no. Sorry if I am wrong but it should be yes.

3/4 divided by 1/4 help can you teach me how to do it to

Answers

Answer:

3/4 divided by 1/4 = 3

Step-by-step explanation:

When we divide two fractions, such as 3/4 ÷ 1/4, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.

We also simplify the answers to fraction problems whenever possible.

Answer:

3

Step-by-step explanation:

=(3/4)(4/1)

kcf (keep, change, flip)

so we're keeping 3/4 the same then we're changing it from division to multiplication and fliping 1/4 to 4/1 (as shown above)

3*4=12 and 4*1=4

so our new fraction is 12/4

12/4 is an improper fraction and 12 divided by 4 is 3

good luck :)

i hope this helps

have a great day !!

What is the mode of the data set?

A. 8
B. 9
C. 10
D. 5

Answers

Answer:

A: 8

Step-by-step explanation:

The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all. ... The mode can be the same value as the mean and/or median, but this is usually not the case

(GIVING BRAINLIEST) who can tell me what grade middle school starts in the U.S.A

Answers

Answer:

Middle school (also called junior high school)

It starts with grade 6 and ends with grade 8.

Step-by-step explanation:

I need help please.

Answers

Answer:

Step-by-step explanation: Just do 0.25+0.25 then the answer x 0.18 and then divide the answer by 2 and it should equal 0.045

It takes 1/2 of a cup of flour to make a batch of pancakes, Curtis has 5 cups of flour.
How many batches of pancakes can he make?

Answers

Answer:

10 Batches

2 halfs make a whole therefore every cup would count as 2 batches

using this we can multiply 5 by 2 to get 10 batches.

The number of batches of pancakes Curtis can make is A = 10 batches

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

If Curtis takes 1/2 cup of flour to make a batch of pancakes, then the number of batches of pancakes that can be made from 5 cups of flour is:

5 cups / (1/2 cup per batch) = 5 / 0.5

On simplifying the equation , we get

A = 10 batches

Therefore, Curtis can make 10 batches of pancakes with 5 cups of flour

Hence , the number of batches is 10

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Um.. would anyone like to help? !

Answers

Answer:

12

Step-by-step explanation:

The function is just saying that 1/3 of a number is 4

Of the list given the only number when you take 1/3 of it equals 4 is 12

There is only one solution

12

Given : ABCD is a rectangle
m∠B1DB = 60°, m∠ADB = 45°
DB1=37
Find: Volume

Answers

Answer:

Step-by-step explanation:

∠B₁DB = 60°

△B₁BD is a 30°-60°-90° triangle. The sides are in the ratio 1:√3:2

B₁D = 37 ⇒ BD = 37/2 = 18.5

BB₁ = 18.5√3

△ABD is isosceles

AB = AD = BD/√2 = 18.5/√2

volume = AB × AD × BB₁

= (18.5/√2) × (18.5/√2) × 18.5√3

= 18.5³√3/2

≅ 5483 cubic units

many teams?
Ms. Z has 75 students in her
gym class. She wants to
make teams of 15 students.
How many teams will she
have?
7
aker notes

Answers

Answer:

75 divided by 15 is 7

Step-by-step explanation:

If an image was translated 8 units to the left and 2 units down, what would its rule be?
A. (X,Y-> (X + 8, y - 2)
B. (x, y) --> (X - 8, y - 2)
C. (x, y) --> (X + 8, y + 2)
D. (x, y) --> (X - 8, y + 2)


ill give brainliest! plsss help

Answers

Answer:

B

Because u r going -8 units on the x-axis and 2 units down on the y-axis

What is the sum of 4.5 x 10^3 and 2.5 x 10^2 ?

Answers

Answer:

4750

Step-by-step explanation:

you add the equation together and find the answer

Answer: 4500 and 250 = 4750

Step-by-step explanation: 10 to the power of 3 is 1000 because it’s 10x10x10 and if you multiply it by 4.5 it’s 4500 and then 10 times 10 is 100 times 2.5 is 250. And because we’re looking for the sum it wants the total so 4500 plus 250 is 4750

The number of students, s, is at most 30.​

Answers

Answer:

I'm confused

Step-by-step explanation:

maybe more context?

Suppose an electronics manufacturer knows from previous data that 1.5% of
one type of an electronic component are defective. The quality control
inspector randomly selects components until a defective one is found. Is this
a binomial experiment? Why or why not?
A. This is a binomial experiment, because the situation satisfies all
four conditions for a binomial experiment.
B. This is not a binomial experiment, because the trials are not
independent
C. This is not a binomial experiment, because each trial cannot be
classified as a success or failure.
D. This is not a binomial experiment, because the number of trials is
not fixed.

Answers

Answer:B and D

Step-by-step explanation:

Answer: The answer is D: This is not a binomial experiment, because the number of trails is not fixed.

Step-by-step explanation: I took the test and chose the answer A and it was incorrect. The correct answer is D. I took the test on Ap3x.

Hope this helps

hello I need help please help me I will give you brianly if it Correct

Answers

Answer:

Option C.

Step-by-step explanation:

You can find this by doing ratios. 1/1.1266=x/700. Then, solve for x and you will get 621.3385.

please help!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

I am not sure but think that the answer is 1/20

I believe you convert the whole number into a mixed fraction.

5 converted into quarters is 20/4. Then you divided 1/4 by 20/4.

1/4 divided by 20/4 is 1/20 or 0.05.

Please, don't refrain to tell me if this is incorrect. Thank you.

Other Questions
the length of one side of the base of a square pyramid is 15 cm. the height of each face is 40 cm. what is the surface area of the pyramid? A barge can safely haul no more than 400 tons across the river. The barge has an empty weight of 24 tons. The average weight of the railroad cars is 4 tons each. How many railroad cars can the barge haul?2. In order for the barge operator to meet his expenses, he has to haul at least 120 tons of freight. How many railroad cars must the barge operator haul on each trip to at least break even?3. Write a compound inequality that gives the range of the number of railroad cars that the barge can haul which will allow the barge operator to at least break even. Which of the following is an effect of the Civil War?*2 pointsBleeding Kansasthe Gettysburg AddressReconstruction Tu bois ____ eau.Vous ____ prenez frites.Marc prend ____ poisson et Marie prend _____ viande. HELP ME PLZZ, ASAP!!How does demand relate to buyers of a good? 12. Allen Steel Company is considering whether to build a new mill. If the interest rate falls, a. the present value of the returns from the mill will fall, so Allen will be less likely to build the mill. b. the present value of the returns from the mill will fall, so Allen will be more likely to build the mill. c. the present value of the returns from the mill will rise, so Allen will be less likely to build the mill. d. the present value of the returns from the mill will rise, so Allen will be more likely to build the mill. simplifyplease help me!!!! If a jar contains 5 red marbles, 4 blue marbles, 7 yellow marbles, and 3 green marbles, what isthe probably that a randomly selected marble is red or yellow? Ed wants to bicycle at least 75 miles this week. The inequality 11 + 4b > 75 can be used to find the average number of miles he should bike on his remaining 4 bike rides this week. Sorry for the inconvenience, but I need this done and I need help. This is the last question of this quiz. Please Help. 1-xis it polynomial? Which FIVE minerals are found in abundance in the United States and Canada?Diamond Copper Gold IronCornBauxite Water silver Uranium Coal How many civil wars broke out in sudan from 1955 to 1972? Which of these is a common medium of information in your daily life?A. PicturesB. Barking dogsC. Smoke signalsD. Telescopes Given triangle abc with vertices A(2,-1), B(5,6), C(-1,4) as shown. Find the number of square units in the area of triangle abs in simplest form. If magnesium and nickel were used as electrodes to construct an electrochemical cell like the one shown at right, which metal would form the anode and which the cathode? anode: cathode: plsss help ill give brainliest if you give a correct answer What does this saying mean; "Don't trust everything you see even salt looks like sugar"? Why does the federal government have more power than state government? Write the numerical expression that represents the following: 6 times the sum of 12 and 8 Newton's first law states that objects do not change their velocity unless acted uponby an outside force. When throwing a ball the ball initially accelerates from the forceprovided by your arm and then begins to slow down.What force(s) are responsible for the deceleration of the ball?