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t = 12r/(r+120)

t(r+120) = 120r

tr+120t = 120r

tr-120r = -120t

r(t-120) = -120t

r = -120t/(t-120)

r = 120t/(120-t)

Answer:

i cant make a diagram but here i go.

Step-by-step explanation:

250-135=115

250-150=100

100+115=215

250-215=35

So your answer is that 45 people like both, 115like modern, 100 like folk song, and 35 like both.

Answer:

The answer is 3.

Step-by-step explanation:

Plug in, combine, solve.

[tex]m = - 3 \\ {m}^{2} + 5m + 9\\ ( - 3)^{2} + 5( - 3) + 9 \\ 9 + 5( - 3) + 9 \\ 9 - 15 + 9 \\ - 6 + 9 \\ 3[/tex]

Answer:

Nearest $1: $34

Nearest $5: $35

Nearest $10: $30

Answer:

rounded to the nearest one is $40

Step-by-step explanation:

Answer:

y-value = 8

Step-by-step explanation:

1/3x + 1/4y = 1 is the same as 4/12x + 3/12y = 1

which is the same as (4x + 3y)/12 = 1

which is the same as 4x + 3y = 12

add both equations and the 'y' will cancel and you will have 6x = -18

x = -3

2(-3) - 3y = -30

-6 - 3y = -30

-3y = -24

y = 8

Answer:8

Step-by-step explanation:

Answer:

Each apple would cost 1.20 and each orange would cost 1

Step-by-step explanation:

Answer:

See Attached!

Step-by-step explanation:

Answer:

The probability that she takes out a red marble the first time and a green marble the second

P(E₁ ∩ E₂ ) = P(E₁) P(E₂)

                [tex]= \frac{5 X 5}{20} = \frac{25}{20} = \frac{5}{4} ways[/tex]

Step-by-step explanation:

Step(i):-

Given a bag of marbles contains 5 red marbles, 5 green marbles, 5 yellow marbles and 5 blue marbles

Total balls n(S) = 5red +5green +5yellow + 5blue  =  20

Total numbers cases

                         n(S) = 20C₁ = 20 ways

Step(ii):-

Let E₁ be the event of drawing one red marble from 5 red balls

                       n(E₁) = 5C₁

Let E₂ be the event of drawing one green marble from 5 green balls

                       n(E₂) = 5C₁

The two events are independent events

P(E₁ ∩ E₂ ) = P(E₁) P(E₂)

                =[tex]= \frac{5 X 5}{20} = \frac{25}{20} = \frac{5}{4} ways[/tex]

Final answer:-

 The probability that she takes out a red marble the first time and a green marble the second

P(E₁ ∩ E₂ ) = P(E₁) P(E₂)

                =[tex]= \frac{5 X 5}{20} = \frac{25}{20} = \frac{5}{4} ways[/tex]

Answer:C

Step-by-step explanation:

The polynomial can be factored using the binomial theorem is

1,000x³  – 2,100x² + 1,470x – 343.

Assertion that the sum of the nth power of the product of two positive integers a and b may be written as the sum of the n + 1 terms of the form for any positive integer n.

If a and b are real numbers and n is a positive integer, then

[tex](a + b)^n =^nC_0 a_n + ^nC_1 a_{n-1} b_1 + ^nC_2 a_{n-2} b_2 + ... 1.[/tex]

Given:

Using Binomial we can write

(a+ b)³ = a³ + b³ + 3a²b + 3ab²

and, (a+ b)² = a² + 2ab + b²

So, 100x²+ 70x + 49 and 100x² + 210x + 49 cannot be factors using Binomial Theorem because the correct expansion would be

(10x+ 7)² = 100x² + 140x + 49

and, 1,000x³  – 2,100x² + 1,470x – 343 can be factored using Binomial theorem.

As, (10x - 7)³ = 1000x³ -2100x² + 1470x - 343.

Learn more about Binomial theorem here:

https://brainly.com/question/27813780

#SPJ6

Answer:

-1/6

Step-by-step explanation:

im assuming you meant multiply them? if so then

1         -2            -2           -1

---   *  ---    =       ---    =    ---

3         4              12          6

or

1/3=4/12 and -2/4=-6/12

4/12*-6/12=-24/144=-1/6

Answer:

-1/6

Step-by-step explanation:

just multiply 1/3x2/4=

and then in front of the answer put the negative sign

Answer:

Step-by-step explanation: This is going to be a long one. In order to find slope you need the formula which is m=y2-y1/x2-x1. Basically what this means is you have to look on each of those graphs and find the points. I’ll do number one as an example. The points are located at (2,1) and (0,-3). Plug these in into your formula as such. M= (-3 - 1) / (0 - 2) which equals 2. If you have questions let me know

Answer:

x = 8

Step-by-step explanation:

1/2(4x – 8) + 3x = 36

~Simplify left side

2x - 4 + 3x = 36

~Combine like terms

5x - 4 = 36

~Add 4 to both sides

5x = 40

~Divide 5 to both sides

x = 8

Best of Luck!

Answer:

y = -3x + 2

extra characters down here

Answer:

thank you for points

Step-by-step explanation:

Answer:

a) 5x=8 use a calculator and use distributive property

b) 22=3x+5 -18

22=3x-13

9=3x

x=3

distributive property

c)-48= -8x-20+5x-1

-48= -3x-21

-27= -3x

x=7

distributive property

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Plug in 4 for a and solve.

4+7 = 11

Answer:

4+7=11

Step-by-step explanation:

Answer:

55.44 i believe

Step-by-step explanation:

Answer:

5h 11m 26sec

Step-by-step explanation:

7h 15m 12 sec

2h 03m 46 sec

-----------------------

5h 11m 26sec

Answer:

7h 15m 12s

-2h 03m 46s

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

5h 11m 46s

Step-by-step explanation:

Answer: where’s the question??

Step-by-step explanation:

Answer:

what do you need help with??

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

7 + 3 / -1 - 4

10/-5 = -2

slope is -2

Answer:

I believe that it is b

Step-by-step explanation:

But correct me if i am wrong! Have a nice day!

Answer:

B. ) 3 over 4 and space 5 over 7

Step-by-step explanation:

Answer: you would look for y and then once you have y you put it into desemos which is a graphing app and then you get your line

Step-by-step explanation: you would do +3x on both sides with out doing it to the 4y and the. You would get 4y =23+3x and then you divide everything by 4 even the 4y and then you would get y= 23/4 + 3/4x and then you put it into desemos and it will give you it graphed

Answer: ksbddbcxkdbdijc

Step-by-step explanation:

Answer:

25/3

Step-by-step explanation:

Set the equations equal to each other since the lines are parallel.

(x+20)=(4x-5)

-x  +5       -x   +5

25/3 = 3x/3

x = 25/3

Answer: Dilations can be used in architecture in order to make a sample of their final design. They must dilate the scale and measurements to match to their sample.

A you tube plugg in: please check : (

If you could please check out our you tube channel, Evimero Academy

Thank you so much and have a wonderful day

Answer: -15=x

Step-by-step explanation: subtract 10 on each side then divide -5 on both sides to isolate the variable

-5x=+10-85

5x=-75

x=-75/5=> x= -15

Answer:

y = 9x/5 + 50

Step-by-step explanation:

We are represent the information as coordinate (x,y)

If the cost for an order of 100 kilograms of steel bars is $230, this is expressed as (100, 230)

Also if the cost for an order of 150 kilograms of steel bars is $320, this is expressed as;

(150, 320)

Find the equation of a line passing through the points. The standard form of the equation is expressed as y = mx+c

m is the slope

c is the intercept

Get the slope;

m = y2-y1/x2-x1

m = 320-230/150-100

m = 90/50

m = 9/5

Get the y-intercept by substituting m = 9/5 and any point say (100, 230) into the expression y = mx+c

230 = 9/5(100)+c

230 = 9(20)+c

230 = 180 + c

c = 230-180

c = 50

Get the required equation

y = mx+c

y = 9/5 x + 50

Hence an equation for the cost of an order of steel bars (y) in terms of the weight of steel bars ordered (x) is y = 9x/5 + 50