A bus makes a stop at 2:30, letting off 13 people and letting on 5. The bus makes another stop ten minutes later to let off 4 more people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop?

Answer:

18 cups.

Step-by-step explanation:

Multiply 4.5 by 4.

Answer:

[tex]x = \frac{17}{18}[/tex]

[tex]y = \frac{23}{6}[/tex]

Step-by-step explanation:

Given

[tex]y = 3x + 1[/tex]

[tex]Points = (0,0)\ to\ (-3,4)[/tex]

Required

Determine (x,y) equidistant from the equation and the given point

This question will be answered using distance formula;

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

Considering The first Point [tex](0,0)\ to\ (x,y)[/tex]

[tex](x_1 ,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (x,y)[/tex]

The distance is:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

[tex]d = \sqrt{0 - x)^2 + (0 - y)^2}[/tex]

[tex]d = \sqrt{(- x)^2 + (- y)^2}[/tex]

[tex]d = \sqrt{x^2 + y^2}[/tex]

Considering the second point: [tex](x,y)\ to\ (-3,4)[/tex]

[tex](x_1,y_1) = (x,y)[/tex]

[tex](x_2,y_2) = (-3,4)[/tex]

The distance is:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

[tex]d = \sqrt{(x - (-3))^2 + (y - 4)^2}[/tex]

[tex]d = \sqrt{(x + 3)^2 + (y- 4)^2}[/tex]

[tex]d = \sqrt{x^2 + 6x + 9 + y^2- 8y + 16}[/tex]

[tex]d = \sqrt{x^2 + 6x + y^2- 8y + 16 + 9}[/tex]

[tex]d = \sqrt{x^2 + 6x + y^2- 8y + 25}[/tex]

Equate both values of d

[tex]\sqrt{x^2 + 6x + y^2- 8y + 25} = \sqrt{x^2 + y^2}[/tex]

Square both sides

[tex]x^2 + 6x + y^2- 8y + 25 = x^2 + y^2[/tex]

Collect Like Terms

[tex]6x - 8y + 25 = x^2 -x^2+ y^2 -y^2[/tex]

[tex]6x - 8y + 25 =0[/tex]

Recall that [tex]y = 3x + 1[/tex]

[tex]6x - 8(3x + 1) + 25 = 0[/tex]

[tex]6x - 24x - 8 + 25 = 0[/tex]

[tex]-18x+ 17 = 0[/tex]

[tex]-18x=- 17[/tex]

Solve for x

[tex]x = \frac{-17}{-18}[/tex]

[tex]x = \frac{17}{18}[/tex]

Substitute [tex]\frac{17}{18}[/tex] for x in [tex]y = 3x + 1[/tex]

[tex]y = 3 * \frac{17}{18} + 1[/tex]

[tex]y = \frac{17}{6} + 1[/tex]

[tex]y = \frac{17 + 6}{6}[/tex]

[tex]y = \frac{23}{6}[/tex]

Answer:

Step-by-step explanation:

5 divided by 1525 = 0.0032786885245902

1525  divided by 5 = 305

Hope this helps! :)

Answer:

2.34 grams

Step-by-step explanation:

In this problem, we need to find how many grams in 2.34mL. To solve the problem, we must know the relationship between grams and millilitre.

We know that,

1 milliitre = 1 gram

Hence,

2.34 mL = 2.34 grams.

Answer:

N=10

Step-by-step explanation:

-2n=-n+8

subtract 8 on both sides

-10/-n= -n/-n

the variables cancel out and you divide -10 with -1 because your variable is always 1 giving you the answer

n=10

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{n = 5}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{n - 2 = - n + 8}[/tex]

Move n to left hand side and change it's sign

Similarly, move 2 to right hand side and change it's sign

[tex] \longrightarrow{ \sf{n + n = 8 + 2}}[/tex]

Collect like terms

[tex] \longrightarrow{ \sf{2n = 8 + 2}}[/tex]

Add the numbers: 8 and 2

[tex] \longrightarrow{ \sf{2n = 10}}[/tex]

Divide both sides by 2

[tex] \longrightarrow{ \sf{ \frac{2n}{2} = \frac{10}{2}}} [/tex]

Calculate

[tex] \longrightarrow{ \sf{n = 5}}[/tex]

Hope I helped!

Best regards! :D

Answer:

92/1125

Step-by-step explanation:

Answer:

the answer is 30 because if x = 3 they you would do 8x3 and get 24 then add the 6 to get 30

Step-by-step explanation:

Plz give brainly

Answer:

if x is three then 8x is 8×3 which is 24 then plus 6 is equal to 30

Answer:

If the bisector of AB is at origin (0,0) and A is at (4,0)

we can say that the mid-point of the line AB is at (0,0)

Hence, the point B will be 4 units on the other side of the origin

Therefore, the co-ordinates of B are: (-4,0)

Since the line AB is 4 units to the left and 4 units to the right of the origin,

the length of line-segment AB is 4 + 4 = 8 units

Answer:

(x²+3x-88) square units

Step-by-step explanation:

Area of a rectangle = Length × Width

Given

length of a rectangle is (x-8)units

Its width is (x+11) units.

Required

Expression for the area of the rectangle

Substituting the given function into the formula.

Area of the rectangle = (x-8)(x+11)

Area of the rectangle = x(x)+11x-8x-88

Area of the rectangle = x²+3x-88

Hence the expression that represents the area of the rectangle is x²+3x-88 units²

Answer:

x² + 3x - 88

Step-by-step explanation:

Answer:

The probability of getting defective product from warehouse C is 0.3448

Step-by-step explanation:

Missing question "Assume that Ware houses A, B and C ship 30%, 20% and 50% of the dot-com's sales respectively.

P(A) = Probability of product that comes from warehouse A

P(B) = Probability of product that comes from warehouse B

P(C) = Probability of product that comes from warehouse C

P(A) =  30% = 0.30, P(B) =  20% = 0.20, P(C) =  50% = 0.50

Let D denotes the number of defective products

P(D|A) = 3% = 0.03

P(D|B) = 5% = 0.05

P(D|C) = 2% = 0.02

The probability of getting defective product from warehouse C is as below using the Bayes Rule

P(C|D) = P(D|C) P(C) / P(D|A)P(A) + P(D|B)P(B) + P(D|C)P(C)

P(C|D) = 0.02 * 0.50 / (0.03*0.30) + (0.05*0.20) + (0.02*0.50)

P(C|D) = 0.01 / 0.009 + 0.01 + 0.01

P(C|D) = 0.01 / 0.029

P(C|D) = 0.3448

Therefore the probability of getting defective product from warehouse C is  0.3448.

Question:

Is that 6x square?

Answer:

D) 55°.

Step-by-step explanation:

The sum of angles in a triangle add up to 180°.

[tex]y+(y+30)+40=180[/tex]

[tex]2y+70=180\\[/tex]

Subtract 70 from both sides:

[tex]2y+70-70=180-70[/tex]

[tex]2y=110[/tex]

Divide both sides by 2:

[tex]\frac{2y}{2}=\frac{110}{2}[/tex]

[tex]y=55[/tex]

Answer:

D'(-2, -1)

E'(5, 5)

Step-by-step explanation:

DE has the coordinates of the endpoints as D(-3, -4) and E(4, 2).

These points are translated by the rule to give the translated image as D'E',

(x, y) → (x + 1, y + 3)

By following this rule,

D(-3, -4) → D'(-3 + 1, -4 + 3)

             → D'(-2, -1)

E(4, 2) → E'(4 + 1, 2 + 3)

          → E'(5, 5)

Now we can graph these image points having coordinates D'(-2, -1) and E'(5, 5).

Answer: inequality form n < -4

Step-by-step explanation:

Answer:

n < -4

Step-by-step explanation:

(n-7) > 2n-3

n-7 > 2n -3

+ 3        +3

n-4 > 2n

-n     -n

-4 > n

n < -4

Answer:

Step-by-step explanation:

In this exercise, we want to convert the sellers gain or say represent the sellers gain as a percentage

given data

given that he sells a total of 75 apples

and also that he gains 15 apples

To solve or show the percentage gain, we have to divide the total sales by the profit made and multiply the result by 100, that way we have the percentage gain.

i.e (profit/total sales)*100

= (15/75)*100

= 0.2*100

= 20%

Answer:

G(-3, 6)

Step-by-step explanation:

[tex]midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]

Substitute the coordinates of M and D into the formula:

[tex]( - 1,5) = ( \frac{x1 + 1}{2} , \frac{y1 + 4}{2} ) \\- 1=\frac{x1 + 1}{2}& ,&5&= \frac{y1 + 4}{2} & \\ - 1(2)= x1 + 1&, & 5(2) &= y1 + 4 &\\ - 2= x1 + 1&, &10 &= y1 + 4 &\\ x1= - 2 - 1&,& y1 &= 10 - 4 &\\ x1= - 3&, &y1& =6 \: \: \: \: \: \: \: \: \: \: &[/tex]

Thus, the coordinates of G is (-3,6).

Answer:

c

Step-by-step explanation:

Domain is the x-values range is y-values

Answer:

-6:No

-2:No

7:No

8:No

The only number to make this equation true is 1

Step-by-step explanation:

I will substitute each value in place of the variable. Hopefully you understand PEMDAS

3(-6)+5=8

-18+5=8

-13=8

-13 does not equal 8 so false.

3(-2)+5=8

-6+5=8

-1=8

-1 doe not equal 8 so false

3(7)+5=8

21+5=8

26=8

26 does not equal 8 so false

3(8)+5=8

24+5=8

29=8

29 does not equal 8 so false

Let's see what would make this true:

3x+5=8

3x=3

×=1

The solution is: :

-6:No

-2:No

7:No

8:No

The only number to make this equation true is 1

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

We will substitute each value in place of the variable.

we know PEMDAS

3(-6)+5=8

-18+5=8

-13=8

-13 does not equal 8 so false.

3(-2)+5=8

-6+5=8

-1=8

-1 doe not equal 8 so false

3(7)+5=8

21+5=8

26=8

26 does not equal 8 so false

3(8)+5=8

24+5=8

29=8

29 does not equal 8 so false

Let's see what would make this true:

3x+5=8

3x=3

x=1

To earn more on addition click:

brainly.com/question/29560851

#SPJ2

Answer:

24 years

Step-by-step explanation:

Answer:24 years

Step-by-step explanation:

Trust me

Answer:

Step-by-step explanation:

cost of book = Rs. 573.75

cost of pen = Rs. 25.50

total cost = 573.75 +  25.50 = Rs. 599.25

total money = Rs. 1000

money left with him = 1000 - 599.25 = Rs. 400.75

Hope this helps

plz mark as brainliest!!!!!!

Answer:

The Answer is 14.49

Step-by-step explanation:

Because you have the use paper or calculator(if affordable) then there will be more numbers but i wanted to make it to a short version

Answer:

14.49

Step-by-step explanation:

Answer:

It has a zero in it so it should be identity property.

Step-by-step explanation: anything with 0 is im pretty sure the Identity problem.

Answer:

360 ft

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

cause on T4L you have to round it to the nearest whole and I put B and it was correct.

The two numbers are [tex]-2[/tex] and [tex]-14[/tex].

It is given that,

Explanation:

Let [tex]x[/tex] be the one number. Then the second number is [tex]7x[/tex].

Sum of two numbers is negative sixteen.

[tex]x+7x=-16[/tex]

[tex]8x=-16[/tex]

[tex]x=\dfrac{-16}{8}[/tex]

[tex]x=-2[/tex]

The value of other number is:

[tex]7(-2)=-14[/tex]

Thus, the two numbers are [tex]-2[/tex] and [tex]-14[/tex].

Learn more:

https://brainly.com/question/13536824

Answer:

∠1 → 108

∠2 → 72

Step-by-step explanation:

Supplementary angles add up to a total of 180° (two angles is a pair). So:

∠1+∠2=180°

∠1 → supplement

∠2 → 36 less than the supplement

Create an equation, using x as angle 1 and y as angle 2:

[tex]x+y=180[/tex]

Insert the given values:

[tex]x+(x-36)=180[/tex]

Solve for the value of x. Simplify parentheses:

[tex]x+x-36=180[/tex]

Simplify addition:

[tex]2x-36=180[/tex]

Add 36 to both sides:

[tex]2x-36+36=180+36\\\\2x=216[/tex]

Isolate the variable. Divide both sides by 2:

[tex]\frac{2x}{2}=\frac{216}{2}\\\\ x=108[/tex]

The value of x is 108. Insert this into the equation above:

[tex]x+y=180\\\\108+y=180[/tex]

Solve for y. Subtract 108 from both sides:

[tex]108-108+y=180-108\\\\y=72[/tex]

The value of y is 72.

Therefore:

∠1 → 108

∠2 → 72

:Done

*Check:

Insert the values into an equation set to 180 to determine if true:

[tex]108+72=180\\\\180=180[/tex]

Subtract 108 by 72 to see if the difference is 36:

[tex]108-72=36\\36=36[/tex]

The given values are true.

Supplementary angles add up to [tex]180^o[/tex]

The angles are 72 and 108

Let the angles be x and y.

Such that:

[tex]y = x - 36[/tex]

So, we have:

[tex]x + y = 180[/tex] --- sum of supplementary angles

Substitute [tex]y = x - 36[/tex]

[tex]x + x - 36 = 180[/tex]

[tex]2x - 36 = 180[/tex]

Collect like terms

[tex]2x = 36 + 180[/tex]

[tex]2x = 216[/tex]

Divide by 2

[tex]x = 108[/tex]

Recall that:

[tex]y = x - 36[/tex]

[tex]y = 108 - 36[/tex]

[tex]y = 72[/tex]

Hence, the angles are 72 and 108

See attachment for the illustration of the angles

Read more about supplementary angles at:

https://brainly.com/question/18164299

Answer:

[tex]1024cm^2[/tex]

Step-by-step explanation:

Area = Length [tex]\times[/tex] Length

Area = [tex]32cm\times32cm=1024cm^2[/tex]

plzzz brainliest

Answer:

the answer is b. 4+y

Step-by-step explanation:

all the other options are just expressing 4 in different ways

Answer:

B

Step-by-step explanation:

Answer:

O4 = 3-4x

Step-by-step explanation:

Answer:

its D

Step-by-step explanation:

got 100 on test on edge