Mathematics College


[tex]4x + 2x = 20 \\ x + 3x = 50[/tex]
simotenus equation ​

Answers

Answer 1

Answer:

I think there is an error in the question, I assume it reads:

4x+2y=20

x+3y=50

If not, please make appropriate corrections to the question.

Answer: x=-4, y=18

Step-by-step explanation:

4x+2y=20

Simplify, divide by two,

2x+y=10.....................(1)

x+3y=50....................(2)

Multiply (2) by 2

2x+6y=100 ....................(2a)

Subtract (1) from (2a)

2x+6y - (2x+y) = 100 - 10

5y = 90

y=18..............................(3)

Substitute (3) into (1)

2x+(18)=10

2x = 10-18 =-8

x=-4  ............................(4)

Substitute (3) and (4) into (1) for verification

2x+y = 2(-4)+18 = 18-10 = 10   checks.

Substitute (3) and (4) into (2) for verification

x+3y=-4+3(18) = -4+54 = 50  checks.

Have a nice day!

Related Questions

Jill collected a total of 19 gallons of honey. If she distributes all of the honey equally between 7 jars, how much honey will be in each jar?

Answers

If jill collected 19 gallons equally between 7 jars it will 109

For this cylinder the radius = 6.8 inches and the height L = 14.2 inches. Which is the BEST estimate for the surface area?Use 3.14 what is this answer

Answers

Answer:

896.784

Step-by-step explanation:

Comment if you want the explanation

Amar thinks of a number If he takes away 6 from ⅔ ? of number, the result is
22. Find the number.​

Answers

Let's assume the number as x

According to the question,

2/3x-6=22

2x-6=22×3

2x= 66-6

2x=60

x=60/2=30

Therefore, as x=30, The number is 30 itself.

i need help <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3\

Answers

Answer:

the cordnate for X is 2 the cordnate for Y is -2

Answer: the coordinate for X is 2 the coordinate for Y is -2.

Step-by-step explanation:

If a=.3 and b=.5, what is the value of a=b ?

Answers

Answer:

5.0/5.

Step-by-step explanation:

Answer:

3A = 5B A/B=5/3 (A + B) / B=(5+3) / 3 (A + B) / B=8/3 इसलिए सही उत्तर विकल्प B है।

Hope this helps

Step-by-step explanation:

Assume that when adults with smartphones are randomly selected, 64% use them in meetings or classes. If 5 adult smartphone users are randomly selected, find the probability that exactly 3 of them use their smartphones in meetings or classes. The probability is (Round to four decimal places as needed.)​

Answers

Answer:

[tex]P(3) = 0.3397[/tex]

Step-by-step explanation:

The given details represent binomial distribution. So, we have:

[tex]n = 5[/tex]

[tex]p = 64\% = 0.64[/tex]

Required

Calculate P(3)

This is calculated using:

[tex]P(x) = ^nC_x * p^x * (1- p)^{n-x}[/tex]

This gives:

[tex]P(3) = ^5C_3 * 0.64^3 * (1- 0.64)^{5-3}[/tex]

[tex]P(3) = 10 * 0.64^3 * 0.36^2[/tex]

[tex]P(3) = 0.3397[/tex]

please help me solve this problem!!

Answers

Answer:

here's the link to the answer

Step-by-step explanation:

WWW.math.com/int.etg

Which algebraic expression is a polynomial with a degree of 5?

3x5 + 8x4y2 – 9x3y3 – 6y5
2xy4 + 4x2y3 – 6x3y2 – 7x4
8y6 + y5 – 5xy3 + 7x2y2 – x3y – 6x4
–6xy5 + 5x2y3 – x3y2 + 2x2y3 – 3xy5

Answers

First one ..............

find tan C will mark branylis​

Answers

Answer:

i think26 and 10

Step-by-step explanation:

Answer:

c.  12/5

Step-by-step explanation:

With reference angle C

perpendicular (P)= 24

base(b) = 10

Then

Tan < C = p / b

Tan < C = 24/ 10

Tan < C = 12/5

Hope it helps :)

Help me please I give brainliest and be serious

Answers

Answer:

15, y = 1/2x + 3.75

Step-by-step explanation:

Am not 100% sure but for #15

cuz I graphed it & it looks alike

A toy rocket is launched from the roof of a building. The graph below shows the height of the rocket x seconds after it was launched. What is the average rate of change of the height of the rocket during its descent?
A. -32 ft/sec
B. -24 ft/sec
C. -64/3 ft/sec
D. -16 ft/sec​

Answers

Using it's concept, it is found that the average rate of change of the height of the rocket during its descent is given by:

D. -16 ft/sec​

What is the average rate of change of a function?

It is given by the change in the output divided by the change in the input.

In this problem, the input changed from 0 s to 3 s, while the output changed from 48 ft to 0 ft, hence:

r = -48 ft/3 s = -16 ft/s

Hence option D is correct.

More can be learned about the average rate of change at https://brainly.com/question/24313700

What are the three ordered pairs that should be in the table of values y=2x-3

Answers

Answer:

(-2, -7), (0, -3), (2, 1)

Step-by-step explanation:

Equation is given as y = 2x - 3.

To complete the table, plug in each value of x into y = 2x - 3 to get their corresponding y-value.

✔️When x = -2:

y = 2(-2) - 3

y = -4 - 3

y = -7

✔️When x = 0:

y = 2(0) - 3

y = -3

✔️When x = 2:

y = 2(2) - 3

y = 4 - 3

y = 1

which rule descibes the pattern?

Answers

Answer:

-1/2

Step-by-step explanation:

I think not 100% sure tho

Answer:

“multiply by 2 and then subtract 1.

Step-by-step explanation:

refer to the image thank you

Answers

Answer:

C I think

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

What is the area of the top AND bottom faces?

Answers

Answer:

Top : 24cm²

Bottom : 24cm²

Step-by-step explanation:

Surface area : Base × Height

Top :

3 × 8 = 24

Bottom :

3 × 8 = 24

Coach Abernathy has 12 boys in his class of 30 kids which of the following classes has a class that has the same proportion of boys to girls

Answers

Answer:

Step-by-step explanation:

9.
A. 7
B. 15
C. 12
D

Answers

Answer: d=20?

Step-by-step explanation:

Darren had 20 minutes to do a three-problem quiz. He spent 11
7
10
minutes on question A and 4
2
5
minutes on question B. How much time did he have left for question C?

Answers

Answer:

He had 5 minutes left for question C.

Step-by-step explanation:

20 minutes to do the quiz.

He spent:

11 minutes on question A

4 minutes of question B.

So, for the first 2 questions, he used 15 minutes.

How much time did he have left for question C?

Total of 20 minutes, in the first two questions he used 15. So

20 - 15 = 5

He had 5 minutes left for question C.

a group of preschoolers has 31 boys and 37 girls. What is the ratio of girls to boys

Answers

Answer:

37:31 or any other way of writing 37 to 31

Step-by-step explanation:

Write the ratio the same way the question asks, there are 37 girls and 31 boys. This cannot be simplified.

How many different 12 member juries can be chosen from a pool of 20 people?

Answers

Answer:

1,007,760

Step-by-step explanation:

This is a question that bothers on selection

Using the combination formula

nCr  = n!/(n-r)!r!

20C12 = 20!/(20-12)!12!

20C12 = 20!/8!12!

20C12 = 20*19*18*17*16*15*14*13*12!/8!12!

20C12 = 20*19*18*17*16*15*14*13/8!

20C12 = 20*19*18*17*16*15*14*13/8*7*6*5*4*3*2

20C12 = 5,079,110,400/5040

20C12 = 1,007,760

Hence this can be done 1,007,760 different ways

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