The solution of equations system using the Substitution Method
y = 3x & 2y+2x=24 is (3,9)
true
or
false
help mee​

The Solution Of Equations System Using The Substitution Methody = 3x & 2y+2x=24 Is (3,9) True Or

Answers

Answer 1

Answer:

True

Step-by-step explanation:

[tex] \begin{cases} y = 3x \\\\ 2y + 2x = 24\end{cases} [/tex]

Plugging y = 3x in the equation 2y + 2x = 24, we find:

2(3x) + 2x = 24

6x + 2x = 24

8x = 24

x= 24/8

x = 3

Plugging x = 3 in the equation y = 3x we have:

y = 3*3 = 9

(x, y) = (3, 9)


Related Questions

Find the perimeter of a quadrilateral with vertices at C (-1, 2), D (-2, -1), E (2, -2), and F (1, 1). Round your answer to the nearest hundredth when necessary.

A. 10.92 units
B. 12.68 units
C. 13.43 units
D. 18.27 units

Answers

Answer:

B 12.68

Step-by-step explanation:

you will need to find the distance between each segment-

so the length of DC, CF, FE, ED

[tex]d=\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }[/tex]

DC:

D(-2,-1) C(-1,2)

[tex]d=\sqrt{(-1--2)^{2} +(2--1)^{2} } \\d=\sqrt{1^{2}+3^{2} } \\d=\sqrt{10} =3.16[/tex]

CF:

C(-1,2) F(1,1)

[tex]d=\sqrt{(1--1)^{2} +(1-2)^{2} } \\d=\sqrt{2^{2}+-1^{2} } \\d=\sqrt{4+1} \\d=\sqrt{x} 5=2.24[/tex]

FE

F(1,1) E(2,-2)

[tex]d=\sqrt{(2-1)^{2} +(-2-1)^{2} } \\d=\sqrt{1^{2} +(-3)^{2} } \\d=\sqrt{1+9} \\d=\sqrt{10}= 3.16[/tex]

ED

E(2,-2) D(-2,-1)

[tex]d=\sqrt{(-2-2)^{2} +(-1--2)^{2} } \\d=\sqrt{(-4)^{2}+1^{2} } \\d=\sqrt{16+1} \\d=\sqrt{17}= 4.12\\[/tex]

3.16+2.24+3.16+4.12= 12.68

A number machine is shown below.
INPUT
ADD 9
MULTIPLY
BY 5
OUTPUT
a) Calculate the INPUT when the OUTPUT is 40.
[2]
b) Calculate the OUTPUT when the INPUT is n.
+
[2]

Answers

Don’t do the link that’s a bot

A landscaping company placed two orders with a nursery. The first order was for 13 bushes and 4 trees, and totaled $327.50. The second order was for 6 bushes and 2 trees, and totaled $142.96. Sam tried to use system of equation to solve the problem If "b" represents bushes and "t" represents trees which system can Sam use?

A 13b + 2t = 327.50 6b + 4t = 142.96

B. 13b + 4t = 142.96 6b + 2t = 327.50

C 4b + 13t = 327.50 2b + 6 = 142.96

D 13b + 4t = 327.50 6b + 2t = 142.96​

Answers

Answer:

A

Step-by-step explanation:

because mathematics of mathatics equals mathematics

Factor each completely.

2x3 - 9x2 + 9x

Answers

Answer:

x(2x−3)(x−3)

Step-by-step explanation:

2x^3−9x^2+9x

= x(2x−3)(x−3)

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer:

he action or condition of becoming or being made wider, larger, or more open.

Step-by-step explanation:

answer is d the longer answer

I need assistance if anyone would be so kind.

Answers

he shoots 20 arrows

What is the solution set for 4x+9 <17?
Is B right? Or A?


Answers

Answer:

[tex]x<2[/tex]

Step-by-step explanation:

[tex]\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}[/tex]

[tex]4x+9-9<17-9[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]4x<8[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}4[/tex]

[tex]=x<2[/tex]

Answer:

4x+9=17

-9 -9 subtract 9 on both sides to cancel 9 on one side of equation and subtracted on the other side

4x=8

divide 4 on both sides to get x by itself

x=8/4

x=2 SOLUTION

Step-by-step explanation:

A company has recently been hiring new employees. Today the company has 26% more employees than it did a year ago. If there are currently 56,700 employees, how many employees did the company have a year ago?​

Answers

Answer:

I am pretty sure 237

Step-by-step explanation:

PLEASE HELP AND EXPLAIN IT FOR ME :(

Answers

Answer:

15 x 10 x 20 =

Step-by-step explanation:

Answer:

1,100

Step-by-step explanation:

15*10*2=300

20*15*2=600

20*10=200

300+600+200=1,100

you need to find the surface area which means the area of all the sides except the top(bc i think its open???)

a shortcut i used was multiplying sides that have the same area by 2. for example, the side 15*10, there was another side like that, so i multiplied by two instead of having to solve for the other side individually, does that make sense?

check my math if im wrong

Solve for x 103 (3x+4)

Answers

309x+412
X=309 over 412
X=3 over 4

Which function has the largest maximum? (1 point)

Answers

Answer:

(4, -7) thats the largest maximum

helppppppppppppppppp

Answers

Answer: x smaller than or equal to -4

Juan deposited $450 in an account that earned 7.5% simple interest.

- He did not make additional deposits and he didn't withdraw any money from the account.

What was the balance in Juan's investment account after 3 years?

Answers

Um 1782829.00 and 43 is the answer if actually isn’t because I just need the points your in collage good job

Explanation:

1.2694*u+e+ieiei=3938383

Answer:

$551.25

Step-by-step explanation:

$450 x 7.5% = 33.75

33.75 x 3 = 101.25

101.25 + 450 = 551.25

Plsss help mehh this is urgent

Find the length of segment WX.
6
15
25
10

Answers

Answer:

10

Step-by-step explanation:

15 / 6 = 2.5

25 ÷ 2.5 = 10

Space shuttle Challengerexploded because of O-ring failure shortly after it was launched. O-ring damage and temperature at time of launch for the 23 space shuttle flights that preceded the Challenger. The data is reproduced below.
Flights with O-ring damage 43 57 58 63 70 70 75
Flights with no O-ring damage 66 67 67 67 68 69 70 70 72 73 75 76 76 78 79 81
Is the mean launch temperature for fights with O-ring damage significantly less than for flights with no O-ring damage? Use 5% level of significance.

Answers

Answer:

The mean launch temperature for flights with O-ring damage is significantly lesser than Flights with No O-ring

Step-by-step explanation:

Let

Null hypothesis : H0 : μ1 ≥ μ2

Alternate hypothesis : Ha : μ1 < μ2

next calculate the test statistic

t = -2.312

calculate the P-value

p-value = T.DIST ( t ,df )  (  excel function )

            = 0.0270

Given that P-value ( 0.020 ) < level of significance ( 0.05 ) we will not fail to reject the null hypothesis

Attached below is the detailed solution

Simplify 2a + 14 - 5a - 7 + 8a​

Answers

Step-by-step explanation:

2a -5a +8a.

2a +8a -5a

10a -5a = 5a

14-7=7

Answer=5a+7

HEY
so you need to collect like terms so

2a-5a+8a= 5a

5a+14-7

Then 14-7=7

The answer is

5a+7

Samantha answered 90% of the questions on her math test and 80 % of the questions on her history test correctly. If each test had 50 questions , how many questions in all did she answer correctly ?

Answers

Answer:

Samantha got 85 questions right.

Step-by-step explanation:

90% of 50 is 45.

80% of 50 is 40.

40 + 45 = 85

:)

Answer:

95

Step-by-step explanation:

Im pretty sure It's 95 because if you get a 90% on a test with 50 questions, you would've gotten 45 correct. If you get an 80% on a test with 50 questions, you would've gotten 40 correct. Then add them.

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer:

C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Select all numbers that have an absolute value of 4.

Answers

Answer: 4 and -4

Step-by-step explanation: There isn't an actual explanation I can give for this answer, it is based on technical meaning.

Answer: 4 & -4

Absolute (denoted by the vertical bars) means that everything between them is converted to non-negative. So |−4|=4 and so is |4|=4 .

Step-by-step explanation:

Emma and Paul each invest $2,000 into
accounts that earn 6% interest. If Emma's
account earns simple interest and Paul's
account earns compound interest, which is the
value of each person's account after 8 years?
A. Emma - $2,960; Paul - $3,187.70
8. Emma - $960; Paul - $3,187.70
C. Emma - $2,960; Paut- $ 1,187.70

Answers

The answer to the question is C

The value of each person's account after 8 years is Emma - $2,960; Paul - $3,187.70

What is interest?

Interest is the money you pay on top of the amount you borrow which compensates lenders for making their money available as well as the risk they take.

For the borrower, it is like a rental cost, while for the lender it is an income for lending – for risking their money and doing without it for a given period.

Given that, Emma and Paul invested $2,000 into accounts that earn 6% interest.

Emma invested in Simple interest and Paul invested in compound interest,

We need to find the amount of both after 8 years.

Formula to be used =

Simple interest = PRT / 100 [p = principal, r = rate and t = time]

Compound interest =

A = P(1+r)ⁿ [a = amount, p = principal, rate = rate, n = time]

So,

Emma's account after 8 years =

2000 × 6 × 8 / 100 + 2000 = $2960

Paul's account after 8 years =

A = 2000(1+0.06)⁸

A = $3187.7

Hence, the value of each person's account after 8 years is Emma - $2,960; Paul - $3,187.70

Learn more about interests, click;

https://brainly.com/question/13324776

#SPJ2

The radius of a circle is 4 centimeters. What is the circle's area?

Answers

The formula to find area of a circle is A = π r².

The radius is 4, so we can plug that in.

A=π4²

4 squared is 16.

A=π(16)

We can use 3.14 for pi.

A=3.14*16

A=50.24

So the area of this circle is 50.24 cm²

---

hope it helps

One amoeba weighs about 1.5×10^-9
grams. About how many grams would a quantity of 5×10^12 amoebas weigh?

Answers

9514 1404 393

Answer:

  7.5×10^3 grams

Step-by-step explanation:

Your calculator can tell you the product of the weight of each times the number of them. It is ...

  (1.5×10^-9)(5.0×10^12) = 7.5×10^(-9+12) = 7.5×10^3 . . . grams

About 7.5 kg.

Please help I’m really need the help (NO LINKS ) (NO LYING ) PART 2 again

Answers

Answer:

A. 15

B. 25.6

C. 41.6

Step-by-step explanation:

You need to divide

Caroline has a unique pet chimpanzee that is relatively likely to have twins. Each pregnancy is independent, and
Caroline's chimpanzee has a 60% chance of having 1 baby and a 40% chance of having 2 babies each
pregnancy
If X is a random variable that represents the total number of chimpanzee babies if Caroline's chimpanzee gets
pregnant twice, drag the bars to graph the probability distribution for all possible values of X.

Answers

Answer: 2=.36, 3=.48, 4=.16

Step-by-step explanation:

If we let "S" represent 1 baby and "D" represent 2 babies, the sample space for the chimpanzee's 2 pregnancies is {SS, SD, DS, DD}.

We can find the probability of each possible outcome by multiplying the probability of the independent events leading to that outcome.

Outcomes:. Probability:

SS. .60 x .60 = .36

SD. .60 x .40 = .24

DS. .40 x .60 = .24

DD. .40x .40 =.16

Total. 1.00

Lastly group the similar outcomes. SD+DS= .48

What is the volume of the composite figure? ASAP PLEASE!!!!

Answers

Answer:

74ft³

Step-by-step explanation:

Okay, so it's basically 3 rectangular figures smashed together so:

We'll do the 2 biggest one's first:

the formula for the volume of a rectangular figure is base x height so we first have to find the base:

4 x 3 = 12

So then we just plug our stuff in here:

12 x 3 = 36

Now there's 2 of these rectangles though so:

36 x 2 = 72

Now we're going to do the one in the middle:

1 x 2 = 2

2 x 1 = 2

Now we add that all together:

72 + 2 = 74

So, the volume of the composite figure is 74ft³

hope this helps:)

Unit 2 Exam
Rabbit populations can double every 30
days. If there are 26 rabbits on a farm,
how many rabbits will be on the farm
after 240 days?
First, complete the equation:
Future Amount = 26(1+1)

Answers

Answer:

6,656 rabbits

Step-by-step explanation:

Population of rabbits = 26

Population doubles every 30 days

how many rabbits will be on the farm after 240 days?

t = 240 days / 30 days

= 8

Future Amount = 26(2)^t

=26(2)^8

= 26(256)

= 6,656

Therefore, the population of rabbits on the farm after 240 days is 6,656

The figure shows a gas tank in the form of a rectangular prism that is 40% full. How many more gallons of gas will it take to fill the tank? (1 gallon = 231 in.3)

Answers

Answer:

10.8 gallons

Step-by-step explanation:

First change everything to inches:

2.75 ft = 33 in

1.5 ft = 18 in

Volume of tank = lwh = (33)(18)(7) = 4158 in³

The tank is 40% full, so only 60% is need to fill it. To find 60%, multiply 4158 by 0.6 = 2494.8 in³

Now find out how much 2494.8 in³ is in gallons:

231 in³ = 1 gallon

1 in³ = 1/231 gallons

2494.8 = (1/231)(2494.8) gallons = 10.8 gallons

Which statement is best supported by the Information in the box
plots?

A The median of the data for Student 1 is less than the medianof the data for Student2

B. The interquartile range of the data for Student 1 is equal to the
interquartile range of the data for Student 2

C. The range of the data for Student 1 is greater than the range
of the data for Sludent 2

D. The lowest grade for Student 1 is greater than the lowest
grade for Student 2

Answers

Answer:Interquartile Range (IQR) ... IQR: Step 1: Put the data in order from least to greatest. ... If the number of data points is even, the median is the average of the middle two data points. ... The first quartile is the median of the data points to the left of the median in the ... Is it possible for the IQR to be less than the given data points?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:


1.6
Study the following temperature conversions and answer the questions that
follow
°C =( °F 32°C) = 1.8
OF = (1,8 x °C) + 32
The melting point of ice is 0°C, what is this temperature in degrees
2
1.7
Fahrenheit?
2
1.8
Determine the temperature in degrees Celsius if the temperature is 95°F
[12]

Answers

Answer:

a.  0°C = [tex]32^{o}[/tex]F

b.  95°F = [tex]35^{o}[/tex]

Step-by-step explanation:

a. The temperature of melting point of ice (0°C) in degrees Fahrenheit can be determined as;

OF = (1.8 x °C) + 32

     = (1.8 x 0) + 32

OF = 32

Thus the temperature is [tex]32^{o}[/tex]F.

b. 95°F in degrees Celsius can be determined by;

°C = ( °F - 32) ÷ 1.8

    = (95 - 32) ÷ 1.8

    = 63 ÷ 1.8

°C  = [tex]35^{o}[/tex]

Thus the temperature is [tex]35^{o}[/tex]C.

Can somebody explain how I'm supposed to do this??

Answers

Answer:

C

Step-by-step explanation:

You take the points and input them into the equation. If they all equal the set then it is the equation. So for example a point on the graph is (2,30) so in this case x is 2 so you would do y= 15(2) which is 30. So that equation and point checks out. Repeat with the others

Answer:

its c

Step-by-step explanation:

:)

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