Three Linear Variables​

Three Linear Variables

Answers

Answer 1

Answer:

23 yellow, 30 pink and 12 blue balls

Step-by-step explanation:

Let the number of yellow, pink, blue, and black balls be y, p, b, and x respectively.

From 1st sentence:

y +p +b +x= 90

"60 of them are not pink"

➜ y +b +x= 60

Given that 25 are black, x= 25.

"67 of them are not yellow"

➜ p +b +x= 67

Subst. x= 25 into the above equations:

y +p +b +25= 90

y+ p +b= 65 -----(1)

y +b +25= 60

y +b= 35 -----(2)

p +b +25= 67

p +b= 42 -----(3)

I will rewrite the 3 equations for better clarity:

y +p +b= 65 -----(1)

y +b= 35 -----(2)

p +b= 42 -----(3)

(1) -(2):

p= 65 -35

p= 30

(1) -(3):

y= 65 -42

y= 23

Substitute p= 30 and y= 23 into (1):

23 +30 +b= 65

b= 65 -53

b= 12

Thus, there 23, 30 and 12 yellow, pink and blue balls respectively.


Related Questions

Mr. Wilson bought gardening supplies for 79.75, not including tax. If the tax rate is 8%, what was the total cost of these gardening supplies?

Answers

Answer:

$86.13

Step-by-step explanation:

79.75*8=638/100=6.38

79.75+6.38=86.13

Answer: $86.13

Step-by-step explanation:

79.75*8%=6.38

79.75+6.38=86.13

Does this graph represent a function? Why or why not?

Answers

Answer:

Step-by-step explanation:

B. Yes, because it passes the vertical line test, is the answer.

Which table represents y as a function of x?​

Answers

Answer:

Table number 1

Step-by-step explanation:

explanation: If the X-inputs (the exes) repeats then the table is not a function.

In the first table all the x-inputs are different.

Hence, table first is the correct answer which [tex]y[/tex] is a function of [tex]x[/tex].

What is a input ?

The input is what goes into the function and the output is what comes out of the function.

Here as per the information, table first is correct because when the values  [tex]x[/tex] change then it is a function of [tex]y[/tex] , and as per this concept table first is correct.

Hence, table first is the correct answer which [tex]y[/tex] is a function of [tex]x[/tex].

To know more about input

https://brainly.com/question/13014455

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i really need help!!!! i need answer to c:

Answers

Answer:

76.3

Step-by-step explanation:

Answer:

C = 75°

Step-by-step explanation:

The interior angles of a triangle will always add up to 180°, so all we have to do is find the missing variable.  

To do this, we first add up the two angles we do know.

—> 65 + 40 = 105      

Now that we have the total of the other two angles, simply subtract 105 from 180.

—> 180 - 105 = 75

We now have our answer!

find the value of 3/27​

Answers

Answer:

The cubed root of a number is the number that, when multiplied by itself three times (number x number x number), gives the original number. For example, the cubed root of 27 is 3, as 3 x 3 x 3 = 27. The cubed root of 125 is 5, as 5 x 5 x 5 = 125. Unlike the square root, the cubed root is always positive

Step-by-step explanation:

2 divided by one third

Answers

2 / 1/3
= 2* 3/1
= 2*3
= 6

6

Step-by-step explanation:

2÷⅓ so u receprocate and get:

2×3

=6

Brainliest
Answer: what is 123-12(324-234)
·ω·

Answers

Answer:

-957

Step-by-step explanation:

324-234=90

12*90=1080

123-1080=-957

Simplified fraction 8 (5/6) =

Answers

hi

technique is  to decompose both part of the fraction ( in prime numbers if possible )

 8 * 5/6   =     2*4*5  / 3*2   =   20/3

20/3

STEP BY STEP EXPLANATION

Find the slope ( rise/run)

Answers

Answer:

[tex]\huge\boxed{-\frac{1}{3}}[/tex]

Step-by-step explanation:

In order to find the slope of a line, we need to find the rise over the run.

Basically - the change in y divided by the change in x.

[tex]\frac{\Delta x}{\Delta y}[/tex]

We can compare the two points and find both.

We go from (0, 2) to (3, 1).

From 0 to 3 (x) is 3 units.

From 2 to 1 (y) is -1 units.

Therefore we can divide the x by the y.

[tex]\frac{-1}{3}[/tex]

[tex]-\frac{1}{3}[/tex]

Hope this helped!

EASY!!!!Example 5:


Why does the man fly out of the car?


Group of answer choices


Newton's 1st Law


Newton's 2nd Law


Newton's 3rd Law


Flag this Question

Question 145 pts

Give evidence or explain your reasoning for your answer to example #5:

Answers

Answer:Newton's First Law

Step-by-step explanation:

"When the car crashes, there is no unbalanced force acting on the person, so they continue forward (Newton's First Law). The person moves against the seat belt, exerting a force on it. The seat belt then exerts a force back on the person (Newton's Third Law). This causes a controlled deceleration of the person" -google

what is the answer ..........

Answers

Answer:

9

Step-by-step explanation:

area of a right angled triangle is half×base×height

Answer:

Area = 9

Step-by-step explanation:

The area of a triangle is 1/2 the base times the height:

A = 1/2bh

To solve, simply substitute the numbers:

A = 1/2(3)(6)

A = 1/2(18)

A = 9

geniuses please answer this.....step by step explanation ​

Answers

Logarithm base  8  of  512  is  3

Answer 3

I will give braliest to the person who finishes this first.

Answers

Answer:

1. Ba + B3

2. 100 + 5g

3. 25y - 14

4. 6 + 2x

5. 2Ba + B

6. 8h - 12

7. 28e + 24

8. -20y + 72

9. 39 - 21w

10. 3x + 6

11. 5 + 2y

12. 3a + 10

13. 4k + 7

14. 42 + 11r

15. 13w + 15

16. 5a + 34

17. 22f - 12

18. 9x + 2

Step-by-step explanation:

I hope this was helpful! <3

Could I get brainliest?

Answer:

1. 8a+24

2. 100+5g

3. 35y-14

4. 6+2x

5. 16a+8

6.8h-12

7. 28e+24

8. 78-20y

9. 39-21w

10. 3x+6

11. 5+2y

12.10+3a

13.4k-7

14.42+11r

15.13w+15

16.5a+34

17. 22f-12

18.9x+2.

Step-by-step explanation:

Always remember to multiply the number closes to the brackets by all values in the brackets (Remember, you can always multiple variables by integers, you just can't add them!) Then simplify your answer.

Hope this helps.

help plz it due today

Answers

Answer:

Point A  - 1/2 and - 1/4

Point B  - 2 1/2 and 1 1/2

Point C 1/4 and 1/2

Step-by-step explanation:

Is the expression 54 divided -6 ​undefined? If​ not, find the quotient.

Answers

9514 1404 393

Answer:

  54/(-6) = -9

Step-by-step explanation:

From your knowledge of multiplication tables, you know that ...

  6·9 = 54

From your knowledge of signed arithmetic, you know that ...

  54/(-6) = -(54/6) = -(6·9)/6 = -9

The expression is not undefined. The quotient is -9.

find each equation with the correct solution​

Answers

Answer:

15;9;-8

Step-by-step explanation:

1. 5/3x-3=2/3x+12

x=15 once you combine like terms

2. 5x+35-3x+12=7x+2

2x+47=7x+2

5x=45

x=9

3. 12x+20-3=9x-7

12x+17=9x-7

3x=-24

x=-8

This is my second attempt first is the brainiest!

Answers

Answer:

A:59 B:48

Step-by-step explanation:

A triangle is equal to 180 degrees. So the equation would be

73+x+(x-11)=180. To find the value of x, add all of the same values

73-11+x+x which is equal to 62+2x=180. Then subtract 62 from both sides

62-62+2x=180-62  so the equation is now 2x=118 now you divide each side by 2 to get x=59. now to get angle b you subtract 11 from 59 to get 48

The graph plots for equations, a,b,c, and d: which pair of equations have (4,8) as its solution?

Answers

D and B

Explanation:

when you look at that point two lines pass through it and those two lines that pass through it are b and d.

please answer correctly
will mark brainlest 1hour to complete

Answers

Answer:

its (0, 0) because the line goes through thex and y intercept

Answer:

2, 0.15

Step-by-step explanation:

Select all the question that are true given the diagram below

Answers

Answer:

a b d

Step-by-step explanation:

A graph of what has space between possible data values

Answers

Answer:

need graph

Step-by-step explanation:

Marissa knits caps that she supplies to several baby stores. She purchases five bundles of yarn for $62.50. Select the
quantities that would best help determine how many bundles of yarn she will need per month to knit caps.
ОА. .
amount of yarn needed for each cap and number of caps knitted in a month
OB. cost to produce each cap and price per bundle of yarn
OC. number of caps knitted in a month and cost to ship the caps to each store
OD. price per bundle of yarn and amount of yarn needed for each cap

Answers

Answer:

I think OA because you would need to know how much yarn for each cap and how many caps she will make

PLEASE HELP I HAVE 5 MIN TO TURN THIS IN!!!!
There are two gardens, garden A and garden B are shown in the image below.
Determine if statement 2 is true or false and explain why the statement was true or false

Answers

Answer:

False

Step-by-step explanation:

Perimeter of garden A  is

P = 2(w + l) = 2( 2x - 3 + 5(2x - 3)) = 24x - 36

Perimeter of garden B  is

5x + 5 + 4x + 2 + 8x - 8 = 17x - 1

Sum of perimeters:

24x - 36 + 17x - 1 = 41x - 37

The statement 2 is FALSE as number we got is different from the one in the statement

Answer:

Falsethe equation required to fence both garden do not match the perimeter given on statement 2.41x - 37 ≠ 41x + 35

Step-by-step explanation:

garden A

Width (W) = 2x - 3

Length (L) = 5(W)

                = 5 (2x - 3)

                = 10x - 15

Perimeter A = 2L + 2W  (perimeter of a rectangular garden)

                    = 2(10x - 15) + 2(2x - 3)

                    = 20x - 30 + 4x - 6

                    = 24x - 36

garden B

side 1 = 5x + 5

side 2 = 4x + 2

side 3 = 8x - 8

Perimeter B = sides (1 + 2 + 3)  

                    = 5x+5 + 4x+2 + 8x-8

                    = 5x + 4x + 8x + 5 + 2 - 8

                    = 17x - 1

Garden A + garden B  = statement 2

24x - 36  +  17x - 1

24x + 17x - 36 - 1

 41x - 37

therefore, the statement 2 is false. as the equation required to fence both garden do not match the perimeter given on statement 2.

41x - 37 ≠ 41x + 35

most of the data values are ? the mean

Answers

Answer:

........................

.......................................................

Answers

Answer:

............................................................

Step-by-step explanation:

Answer:

................................................................

Could someone please help me ASAP? I need a full explanation. P.S I will name u brainliest!! Thanks!

Answers

Answer: y = 90 degrees.

Step-by-step explanation: We are given that the supplementary angle of angle y is equal to 90 degrees. By definition, that means that y is also equal to 90 degrees. The solution would be:

y + 50 degrees + 40 degrees = 180 degrees

y + 90 degrees = 180 degrees

y = 180 degrees - 90 degrees

y = 90 degrees

hope this helps! :)

James and Terry open a savings account that has a 2.75% annual interest rate, compounded monthly. They deposit
$50,000 into the account. How much will be in the account after 20 years?
a. $48,407.45
b. $90,600.15
c.$86,608.14
d.$80,894.18

Answers

Answer:

a. $48,407.45

b. $90,600.15

c.$86,608.14

d.$80,894.18

A talet weighs 2.22... pounds. What is the tablet's weight written as a mixed number fraction ?

Answers

Answer:

2 11/50

Step-by-step explanation:

Convert to a mixed number:

111/50

Hint: | Use long division to get a quotient and remainder.

Divide 111 by 50:

5 | 0 | 1 | 1 | 1

Hint: | How many times does 50 go into 111?

50 goes into 111 at most 2 times:

| | | | 2

5 | 0 | 1 | 1 | 1

| - | 1 | 0 | 0

| | | 1 | 1

Hint: | Summarize the results.

Read off the results. The quotient is the number at the top and the remainder is the number at the bottom:

| | | | 2 | (quotient)

5 | 0 | 1 | 1 | 1 |  

| - | 1 | 0 | 0 |  

| | | 1 | 1 | (remainder)

Hint: | In the equivalent mixed fraction, the quotient becomes the whole number part, the remainder becomes the numerator part, and the divisor (denominator) remains the denominator.

The quotient of 111/50 is 2 with remainder 11, so:

Answer: 2 11/50


What is the median of the following 6 test scores?
64, 72, 85, 80, 72, 89

Answers

Answer:

76

Step-by-step explanation:

The given data is 64, 72, 85, 80, 72, 89.

First we arrange it in ascending order.

64,72,72,80,85,89

The middle two terms are 72 and 80.

There are 6 no of observations.

The median when n is even is given by :

[tex]M=\dfrac{72+80}{2}\\\\=76[/tex]

So, the median of given data is 76.

What is an equation of the line that passes through the points (7, 6) and (-2, -3)?

Answers

Answer:

y=1x-1

Step-by-step explanation:

m=y2-y1/x2-x1

-3-6=(-9)

-2-7=(-9)

-9/-9=1

6=1*7+b

1*7=7

7-7=0

6-7=-1

b=-1

y=1x-1

hope this helps :3

if it did pls mark brainliest

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