mercedes got to choose 2 cupcakes, there were 3 chocolate 1 vanilla and 4 carrot cake what is the probability that she will choose vanilla followed by a carrot cupcake without the replacing?

Answer:

slope = - 2, point on line = (- 1, 3 )

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 3 = - 2(x + 1) ← is in point- slope form

with slope m = - 2 and (a, b ) = (- 1, 3 )

The slope of equation y−3=−2(x+1) is -2.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

y−3=−2(x+1)

Using Slope- Intercept form

y= mx + b

So, the slope for the equation is -2.

Hence, the slope is -2.

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Answer:

y=4/5x-1 is the answer (A)

Step-by-step explanation:

Answer: Step-by-step explanation:

the first one would be your answer (y= 4/5x -1)

because the y intercept is -1 and the rise if 4 and run is 5 and that would be your slope.

Answer:

[tex]Aaron=1188[/tex]

[tex]Beth=1782[/tex]

[tex]Charlie=2970[/tex]

Step-by-step explanation:

From the question we are told that

Ratio 6:9:15

Total amount to e shared N=£5940

Generally the Ratio can divide the Total amount mathematically as follows

Ratio

6:9:15/3=2:3:5

Sum of ratio

2+3+5=10

For Aaron

[tex]A=\frac{2}{10} *5940[/tex]

[tex]A=1188[/tex]

For Beth

[tex]B=\frac{3}{10} *5940[/tex]

[tex]B=1782[/tex]

For Charlie

[tex]C=\frac{2}{10} *5940[/tex]

[tex]C=2970[/tex]

Check answer

[tex]A+B+C=5940\\1188+1782+2970=5940[/tex]

Answer:

(a+9)(a-9)

Step-by-step explanation:

Both terms are perfect squares, use the difference of squares formula

a^2-b^2=(a+b)(a-b) where a=a and b=9

Answer:

x=15

Step-by-step explanation:

5x+19=2x+64

5x-2x=64-19

3x=45

x=15

Answer:

5x+19=2x+64

3x+I9=64

3x=45

I5

Answer: 8.9 m, 895 cm, 900 cm, 9.1 m, 0.0092 km, 12000 mm

===========================================================

Explanation:

To be able to compare these various measurements, all of them must be the same unit. Let's convert each measurement to meters. If the measurement is already in meters, then we'll move onto the next measurement.

Here are some useful conversion factors

With those conversion factors in mind, we get the following conversions:

Here is the summary of the conversions:

The original list of

{900cm, 8.9m, 895cm, 9.1m, 12000mm, 0.0092km}

becomes this equivalent list

{9 m, 8.9 m, 8.95 m, 9.1 m, 12 m, 9.2 m}

in that exact order.

After converting everything to meters, we can then sort the values from smallest to largest. Doing so gets us this sorted list of

{8.9 m, 8.95 m, 9 m, 9.1 m, 9.2 m, 12 m}

Then you convert back each measurement to its original form

{8.9 m, 895 cm, 900 cm, 9.1 m, 0.0092 km, 12000 mm}

which is the final answer.

Answer:

y = -8x - 8

Step-by-step explanation:

Add -8x on both sides to get -y = 8x + 8 and flip the y sign on the left to get your slope function which is y = - 8x - 8.

To graph the function, you would need to put (0, -8) as your y-intercept, and each unit will go down 8 units when you add 1.

Answer:

y=8x+8

Step-by-step explanation:

Just rewrite the problem so it's in y=mx+b format then it's easy to graph

Remember the y intercept is 8 because when x=0  y=8 and the slope is 8 so go up 8 and right 1

Answer:  y = (6/5)x-8

Slope = 6/5 = 1.2

Y intercept = -8

==================================================

Work Shown:

m = 6/5 = 1.2 is the given slope

(x,y) = (5,-2) is the point the line goes through

y = mx+b .... slope intercept form

y = 1.2x + b .... plug in the given slope

-2 = 1.2*5 + b ... plug in the coordinates of the given point

-2 = 6 + b

-2-6 = 6+b-6 .... subtracting 6 from both sides

-8 = b

b = -8

The equation y = mx+b turns into y = 1.2x-8

This is equivalent to y = (6/5)x-8

Answer:

ΔASA ≅ ΔASA

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

x/9>12

x>12×9

x>108

This is your answer

Answer:

1:5

5

125

2

Step-by-step explanation:

I'm not too sure how to explain this, if you have a question just ask

Answer:

Commision may be defined as a percentage cut which an employee, broker, vendor, retailer or other persons within a sale chain receive from an employer or production firm for selling a good or offering a successful service based on agreed terms by both parties. ;

$18700

Step-by-step explanation:

Given :

Commision pattern :

5% on first $200,000

6% on remaining amount

Amount of commission on $345000

0.05 * 200000 = 10,000

0.06 * (345000 - 200000) = 8700

Total commission :

10,000 + 8700 = 18,700

Answer:

no solution

Step-by-step explanation:

Given

6(x - 4) = 6x + 4 ← distribute left side

6x - 24 = 6x + 4 ( add 24 to both sides )

6x = 6x + 28 ( subtract 6x from both sides )

0 = 28 ← not possible

This indicates the equation has no solution

Answer:

8

Step-by-step explanation:

3x is a varable and -1 is an integer

The expression that represents Cindy's profit is $3.5b - $128.09.

Cindy's total profit is $30.82.

Profit is total revenue less total cost. Total revenue is the selling price per unit multiplied by the total units sold.

Profit = total revenue - total cost

($3.50b) - ($65.25 + $62.84)

$3.5b - $128.09

Profit for the first day = $3.5(24 + 15)  - $128.09

= ($3.5 x 39) - $128.09

= $136.50 - $128.09

=$8.41

Profit for the next day = $3.5(26 + 17)  - $128.09

= ($3.5 x 43) - $128.09

= $150.50 - $128.09

= $22.41

Total profit = $22.41 + $8.41 = $30.82

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they both would have 24

they both would have 2 successful shots. they would mean that the older brother added 4 point to his score and the younger brother would have added 6 to his score

Answer:

3 1/3

Step-by-step explanation:

First you make the denominators the same so you would change 5/4 to 10/8

and 3 X 3 1/3 gets you 10/8

Answer:

55 is the answer I think so

Answer: 55

Step-by-step explanation:

Step One: Add: 2 + 3 = 5

Step Two: Multiple: 11 * the result of step No. 1 = 11 * 5 = 55

Answer: 9 months.

Step-by-step explanation:

Simple interest = Principal x rate(in decimal)  x Time(in years)

Given: Principal = $15,000 , rate = [tex]5\dfrac12\%=\dfrac{11}{2}\%= 5.5\%= 0.055[/tex]

Interest =  $618.75

let t= time

Then,

[tex]618.75=15000\times 0.055\times t\\\\\Rightarrow\ t=\dfrac{618.75}{15000\times0.055}\\\\\Rightarrow\ t= 0.75\ or\ t=\dfrac34\ year[/tex]

1 year =12 months

[tex]\dfrac34\ year=\dfrac34\times12 = 9\ months[/tex]

Hence, it will take 9 months.

9514 1404 393

Answer:

  62°

Step-by-step explanation:

The measure of the external angle where the secants meet is half the difference of the arcs they subtend.

  ∠A = (DE - BC)/2

  2×∠A = DE -BC

  DE = BC + 2×∠A

  DE = 38° +2(12°)

  arc DE = 62°

Answer:

164 degrees

Step-by-step explanation:

The measure of the individual internal angle in a polygon is;

(n-2)180/n

n = 22

So we have;

(22-2)180/22

= (20 * 180)/22

= 163.64 degrees

To the nearest whole number, this is 164

Answer:

5400

Step-by-step explanation:

you would measure the length and width. Multiply the length by the width to get the area, and add twice the length to twice the width to get the perimeter

Answer:n I got this 64.102564102664.1025641026

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

So do this equation in your head.

Or Write It Down.

50 x 0.78

And Multiply it from there.

So I hope it helps.

Answer:

8100

Step-by-step explanation:

We first see that in the first day it tripled from 100 to 300 this is the pattern that is seen throughout this whole experemint, we can see that the cells triple again on the second day to get 900 cells from this. It is likely to say that they will triple again on the third day to get 2100 and again on the fourth to get 8100

Answer:

1.   752/47=16

2.  375/25=15

3.  576/24=24

hope this helps!!:)

Step-by-step explanation:

1.

1. Find the Greatest Common Factor (GCF) of 752 which is 47 .

2. Divide both the numerator and the denominator by the GCF.

752/47

47/47

3. simplify

16

hope this helps!!:)