Find the slope of the line that passes through the points (4, 3) and
(2, 7).

Answer:

Step-by-step explanation:

m : n = 2 :1

A(1 , 3 )    ;  x₁  = 1 & y₁ = 3

 B(7, 8)     ; x₂ = 7  & y₂ = 8

Required Point = [tex](\frac{mx_{2}+nx_{1}}{m+n},\frac{my_{2}+ny_{1}}{m+n})[/tex]

                        [tex]=(\frac{2*7+1*1}{2+1},\frac{2*8+1*3}{2+1})\\\\=(\frac{14+1}{3},\frac{16+3}{3})\\\\\\=(\frac{15}{3},\frac{19}{3})\\=(5,6.3)[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

A graphing calculator provides a nice solution to this question.

__

1) Put 48 ft in for H and solve for t:

  48 = -16t^2 +80t

  -3 = t^2 -5t

  3.25 = t^2 -5t +6.25 = (t -2.5)^2

  t = 2.5 ±√3.25

The ball will first reach 48 feet at t = 2.5 -√3.25 ≈ 0.697224 seconds.

__

2) The equation tells us the maximum height occurs at t=2.5 seconds. That height is ...

  H = -16(2.5^2) +80(2.5) = 100

The maximum height is 100 feet. The ball will never reach 110 feet.

Answer:

[tex]\sqrt{a} 900[/tex] - 2

Step-by-step explanation:

I won't be answering using words.

1.     (3a+2a)(6a²+1-3)

2.    (5a)(6a²-2)

3.    6a² × 5a - 2 × 5a

4.    6a × 6a × 5a - 2 × 5a

5.    180a × 5a - 2

6.    900a - 2

7.    [tex]\sqrt{a} 900[/tex] - 2

Answer:

8x + 40

Step-by-step explanation:

8(x+5)

8 times x = 8x

8 times 5 = 40

Answer:

8 x____=5  i got 0.625 as a decimal and 5/8 as a fraction, i dont even know if thats the answer u were looking for but ok, Hope this helps  ;D

Step-by-step explanation:

9514 1404 393

Answer:

  29 1/8 yards

Step-by-step explanation:

If the ref is distance 'd' from the goal line, after walking 41 3/4 yards to the same yard line at the other end of the field, he will also be at distance d from that goal line.

Hence the total ...

  d + 41 3/4 + d

will be the length of the field between goal lines, 100 yards.

  2d +41 3/4 = 100

  2d = 58 1/4 . . . . . . subtract 41 3/4

  d = 29 1/8 . . . . . . . divide by 2

The referee was 29 1/8 yards from the nearest goal line.

Answer:

29 1/8

Step-by-step explanation:

YOU WILL DO YOU GOOD LUCK

Answer:

1. X= 1/3 z -1

2. X= 1/3z + -2/3

Step-by-step explanation:

z=3x+3

Step 1: Flip the equation.

3x+3=z

Step 2: Add -3 to both sides.

3x+3+−3=z+−3

3x=z−3

Step 3: Divide both sides by 3.

3x/3 = z-3/3

Step 1: Flip the equation.

3r+2=z

Step 2: Add -2 to both sides.

3r+2+−2=z+−2

3r=z−2

Step 3: Divide both sides by 3.

3r/ 3 = z-2/3

Answer:

number of general admission tickets sold = 32

Number of VIP tickets sold = 8

Step-by-step explanation:

Total Number of tickets = 40

Cost of general admission tickets = $20

Cost of VIP tickets = $30

Total revenue = $880

Let

x = number of general admission tickets sold

y = number of VIP tickets sold

The equations are:

x + y = 40 (1)

20x + 30y = 880 (2)

From (1)

x = 40 - y

Substitute x = 40 - y into (2)

20x + 30y = 880

20(40 - y) + 30y = 880

800 - 20y + 30y = 880

10y = 880 - 800

10y = 80

y = 80 / 10

= 8

y = 8

Substitute y = 8 into (1)

x + y = 40

x + 8 = 40

x = 40 - 8

= 32

x = 32

number of general admission tickets sold = 32

Number of VIP tickets sold = 8

Answer:

11, 12 is right

Step-by-step explanation:

if you do the equation the answer is 11.7473etc, and is in the middle of 11 and 12

Answer:

you marked the right one

Step-by-step explanation:

Answer:

(a) The probability that a contestant allowed to stay in the first episode is 0.5

(b) The probability that a contestant will be allowed to stay during both is 0.25

Step-by-step explanation:

The given parameters are;

The probability that a contestant who has been bribing the judges will be allowed to stay = 1

The probability that a contestant who has mot been bribing the judges will be allowed to stay = 1/3

The proportion of the contestant that has been bribing the judges = 1/4

The contestant who bribe the judges in the first round = The contestants who bribe the judges in the second round

(a) Let the total number of contestants = x

Therefore;

The number of contestants in the second round = x/4 + 1/3×(x - x/4) = x/2

Which gives that, half of the contestants make it to the second round

The probability that a contestant allowed to stay in the first episode, Pₐ₁, is given as follows;

Probability = (The number of required outcome)/(The number of possible outcome)

∴ Pₐ₁ = (x/4)/(x/2) = 2/4 = 1/2 = 0.5

The probability that a contestant allowed to stay in the first episode = 0.5

(b) The probability that a contestant will be allowed to stay during both episode, Pₐ₁₂ is given as follows;

The number of contestant that will be allowed to stay after each episode = 1/2×(The number contestant in the previous episode)

Therefore;

The number of contestant that will be allowed to stay after the first episode = 1/2 × x = x/2

The number of contestant that will be allowed to stay after the second episode = 1/2 × x/2 = x/4

Therefore, the number of contestant that will be allowed to stay after both episode = x/4

Pₐ₁₂ = (The number of contestant that will be allowed to stay after both episode)/(The total number of contestants)

∴ Pₐ₁₂ = (x/4)/x  = 1/4 = 0.25

The probability that a contestant will be allowed to stay during both = 0.25.

Answer:

4 bags cost 12 = 3 each bag so 3 x 7 = 21$

Step-by-step explanation:

y=5x+12

hope i could help!

Answer:

Part A: 60

Part B: Each cup of coffee costs 2.5 dollars

Part C: Each donut costs 1.75 dollars

Part D: Sonario spent 123.75 dollars in coffee and donut holes

Part E: The number of cups of coffee bought are 25 cups of coffee

The number of donut holes bought are 35 donut holes

Step-by-step explanation:

The given parameters are;

c + d = 60

2.5 × c + 1.75 × d = 123.75

Part A

Whereby the number of cups of coffee bought = c, and the number of donut holes bought = d, then, the total number of cups of coffee and donuts bought is c + d = 60

Part B:

From the second equation for the total cost of cups of coffee and holes of donuts, the coefficient multiplying the variable representing an item is the cost of the item

Therefore, each cup of coffee costs 2.5 dollars

Part C:

Using the method from above, each donut costs 1.75 dollars

Part D:

From the equation for the total cost, Sonario spent 123.75 dollars in coffee and donut holes

Part E:

By the elimination method, we have;

c + d = 60

∴ c = 60 - d

Eliminating c in the equation for the total cost gives;

2.5 × c + 1.75 × d = 2.5 × (60 - d) + 1.75 × d = 123.75

150 - 2.5·d + 1.75·d = 150 - 0.75·d = 123.75

150 - 123.75 = 0.75·d

26.25 = 0.75·d

d = 26.25/0.78 = 35

d = 35

c = 60 - d = 60 - 35 = 25

c = 25

∴ c = The number of cups of coffee bought = 25 cups of coffee

d = The number of donut holes bought = 35 donut holes

Answer:

2(4x+x)

Step-by-step explanation:

Answer:

The restaurant expect to sell more than 100 omelets

Answer:

They will certainly Sell more than 100.

Step-by-step explanation: Okay first we know that 15 can go into 60 4 times,4 x 4 is 16 + 2 (so we can make sure it is exactly equivalent to 4 and a half hours that is why we added 2) is 18. Multiply 6 x 18 to get the number of Omelletes sold, we get 108 Omellets sold, that is more than 100. So the answer should be More than 100 omelletes!

Answer:

5

Step-by-step explanation:

nearest whole number for 24 16/17= 25, nearest whole number for 4 8/9= 5, 25/5=5

Answer:

328 multiplied by the ticket price.

Step-by-step explanation:

If you are to lazy to do the math by multiplying 328 by 12 (like me) you can use a calculator. BUT since you are reading this, here this is the answer.

Answer:

x=20

Step-by-step explanation:

we see that the connection between y and x is that y is always 1/2 as much as x.

Answer:

find it out

Step-by-step explanation:

Answer:

x = -12.7

Step-by-step explanation:

[tex]8(x-27)+49=87+28x\\\\8x-167=87+28x\\\\8x-167+167=87+28x+167\\\\8x=28x+254\\\\8x-28x=28x-28x+254\\\\-20x=254\\\\\frac{-20x=254}{-20}\\\\ \boxed{x=-12.7}[/tex]

Hope this helps.

Answer:

x=-127/10 or x= -12.7

Step-by-step explanation:

8(x−27)+49=87+28x

Step 1: Simplify both sides of the equation.

8(x−27)+49=87+28x

(8)(x)+(8)(−27)+49=87+28x(Distribute)

8x+−216+49=87+28x

(8x)+(−216+49)=28x+87(Combine Like Terms)

8x+−167=28x+87

8x−167=28x+87

Step 2: Subtract 28x from both sides.

8x−167−28x=28x+87−28x

−20x−167=87

Step 3: Add 167 to both sides.

−20x−167+167=87+167

−20x=254

Step 4: Divide both sides by -20.

−20x/−20

=

254/−20

x=

−127/10

Answer:

rod wave and 144 for sure

Step-by-step explanation:

rod wave is fat which means he is better

Answer:

12x12 is 144

Step-by-step explanatio

Answer:

5. 34% 6. $190.73

Step-by-step explanation:

trust man just trust

Answer:

5) 52

6) $190.73

Step-by-step explanation:

5)

Let the unknown number be x.

40 is 77% of x

40 = 0.77x

Divide both sides by 0.77

x = 52

Answer: the number is 52.

6)

We first calculate the amount of tax which is 6.875% of $178.46.

6.875% of $178.46 =

= 0.06875 * $178.46

= $12.27

The amount of tax is $12.27.

Now we add the amount of tax to the price before tax.

$178.46 + $12.27 = $190.73

Answer:

35 minutes.

Step-by-step explanation:

Just multiply 7 minutes by 5 miles.

Answer:

It will take Carmen 35 minuets to run 5 miles.

Answer:

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679

Step-by-step explanation:

by google

Answer:there is no picture

Step-by-step explanation:

Answer:

yeah it's B. false :)

Step-by-step explanation:

and to answer the other answer, it's just to help other people if the question isn't already on brainly

Answer:

to find the h value you have to use the equation B

Answer:

-1 7/8 is the answer to this

Answer:

The answer for the question above is -1 7/8.