Peter and Flopsy are Mairies pet bunnies. Peter is one year older than four times Flopsy's age. The sum of their ages is 19. How old is each bunny ?

Answer:

x=4

Step-by-step explanation:

19+3x=3(x-5)

do rainbows

19+3x=3x-15

subtract 19 on other side

3x=3x+4

divide out the 3s

x=4

Answer: A. 81/625

Step-by-step explanation:

From the question, we are informed that there are 4 traffic signals on ones way to work, and there's a 60% chance of making each one, independent of whether or not the previous one is made.

The probability that one will make it to work on time will be to multiply 60% for the 4 period. This will be:

= 60% × 60% × 60% × 60%

= 60/100 × 60/100 × 60/100 × 60/100

= 3/5 × 3/5 × 3/5 × 3/5

= 81/625

Answer:A

Step-by-step explanation:

Got it right in my test lolz

You can use the fact that diagonal of a square are equal and perpendicular to each other.

The option D: Segment BD has a slope  of 3 and a length of [tex]2\sqrt{10}[/tex]

One theorem in mathematics states that:

"If diagonals of a quadrilateral are equal and perpendicular to each other, then that  quadrilateral is a square."

For ABCD to be square, we need AC and BD to be of equal length and perpendicular to each other.

Two lines are perpendicular if their slopes are negative reciprocal of each other.

[tex]Slope(AC) = \dfrac{rise}{run} = \dfrac{C_y - A_y}{C_x - A_x} = \dfrac{4-6}{8-2} = -\dfrac{1}{3}[/tex]

Thus, slope of BD needed to be negative reciprocal of -1/3 which is 3 for ABCD to be square (first needed condition)

[tex]|AC| = \sqrt{(C_y - A_y)^2 + (C_x - A_x)^2} = \sqrt{(4-8)^2 + (8-6)^2} = \sqrt{2^2 + 6^2} = \sqrt{40} = 2\sqrt{10}[/tex]

The second condition needs |BD| = |AC|.

Thus, length of BC should be [tex]2\sqrt{10}[/tex]

Thus, the sufficient condition for ABCD to be a square is:

Option D: Segment BD has a slope  of 3 and a length of [tex]2\sqrt{10}[/tex]

Learn more about square and its diagonals here:

https://brainly.com/question/3417399

Answer:

D

Step-by-step explanation:

Each hour = -0.2 which represents the ounces of the candle that burn down within each hour.

Answer:

The answer should be D) 105 = (5x - 70)

Step-by-step explanation:

Answer:

D. 105=(5x-70)

Step-by-step explanation:

I'm pretty sure its correct but it may not be

Answer:

 matter is any substance that has mass and takes up space by having volume

Step-by-step explanation:

Answer:

Anything which occupies space and have mass is called matter.

Step-by-step explanation:

There is no any explanation of defination of matter xD...

Answer:

The volume of a box with sidelines that are 20 inches is 8000 cubic inches

Step-by-step explanation:

The volume of a box with sidelines that are 20 inches can be determined by using the formula

B = S³

Where S is the length of one side

and B is the Volume

From the question, the sidelines of the box are 20 inches. That is

S = 20 inches

From

B = S³

B = (20 inches)³

B = 20 inches × 20 inches × 20 inches

B = 8000 cubic inches

Hence, the volume of a box with sidelines that are 20 inches is 8000 cubic inches.

Answer:

8;000 in³

Step-by-step explanation:

because I know

Answer:

A. 14,2

Step-by-step explanation:

Plot each of the points, and whatever one is the furthest away from the scatter, and there's your answer.

Answer:

C

Step-by-step explanation:

-2 means that the y-intercept is (0, -2), so we can immediately eliminate option D. 3x means that it is a positive correlation, so left to right the line will go diagonally up, so we can eliminate option B.

Finally, we can see that 3x means that the slope is pretty steep, so we can choose C as our answer.

Answer:

Step-by-step explanation:

To find;

a) The number of customers that will be there if the bakery charges $10 per pie

b) To determine how much money (revenue) the bakery will make at that price if one customer buys only one pie.

So; given the function:

C(p) = 110 - 4.4 p

where

p = 10

C(10) = 110 - 4.4(10)

C(10) = 110 - 44

C(10) = 66

Thus, when the bakery charges $10, the number of customers is 66.

The revenue now when each customer purchase only one pie is:

= $66 × 10

= $660

Answer:-9

Step-by-step explanation: Divide each term by -25 and simplify

Answer:

0.36

Step-by-step explanation:

thirty six cents is the unit price

Answer:

$0.36

Step-by-step explanation:

2.52/7 = 0.36

Ace C.a.r.l.o.s.

Laroi

Answer:

i think its 10

Step-by-step explanation:

Answer:

y = 6

x = 2

Step-by-step explanation:

rearrange the first equation in terms of x

x = (y - 2)/2

substiute x in the second equation

y = -5[(y-2)/2] +16

Now simpilify and solve for y

y = (-5y + 10)/2 +16

y = -5/2y + 5 + 16

y + 5/2y = 5 + 16

3.5y = 21

y = 6

Now substitue y in the first equation to solve for x

x = (6 - 2)/2

x = 2

Answer:

(2, 6)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = 2x + 2

y = -5x + 16

Step 2: Solve for x

Substitution

Step 3: Solve for y

I'll do the first five problems to get you started.

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

Problem 1

The graph is shown below in the attached image.

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Problem 2

The plan chosen was Public Mobile, which offered $24 per month for unlimited minutes. This plan does not depend on the number of minutes, so this is not a direct variation. It's also not a partial variation either since the cost doesn't vary (ie change) at all. The monthly cost is fixed at $24 per month.

Even at 200 minutes, this is the cheapest plan as mentioned in the other chart I posted. You can determine this by plugging x = 200 into each equation described earlier. You should find that Public Mobile still gives the cheapest rate. The graph done in problem 1 visually verifies this. The gray line y = 24 is below each of the other lines when x = 200.

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

Problem 3

The best plan is still Public Mobile when x = 1800 minutes per month.

Any x value such that x > 140 will also have Public Mobile be the best plan.

When we get to x = 140 is when this isn't the best plan and instead Bell is the better plan to go with. Note the purple line y = 0.10x+10 is below the gray line y = 24 for values x < 140. This visually shows us that Bell is cheaper compared to Public Mobile.

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

Problem 4

The plan with the greatest rate of change is Telus. This is because y = 0.35x has the largest slope of 0.35

The rate of change is the charge per minute.

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

Problem 5

If you talked for 200 minutes, then Public Mobile is the best plan. This is because the gray line y = 24 is below any other line when we have x = 200.

Answer: -100 + x = 40

Step-by-step explanation: We know she starts at -100 feet, she is increasing in elevation, so we want to add a positive x to her initial value of -100. If we keeping adding that x, it will soon result in a positive value of 40.

Answer:

A) 1/12

Step-by-step explanation:

Half of 1/3 is 1/6. But that would only be dividing by 2. If you half 1/6, which would be dividing 1/3 by 4, you get 1/12.

Answer:

16%

Step-by-step explanation:

$16.8

Answer:

I think it is 11.5 and in a fraction 11 1/2

Incomplete question :

Here the number of ice cream sundaes isnt Given ; however, we can assume that the number of ice-cream sundae is 5

Answer:

1 / 25

Step-by-step explanation:

Given that :

Total Amount of whipped cream = 1/5 of a cup

Number of ice cream sundae = 5

The amount of whipped cream eat ice cream sundae gets is :

Total Amount of whipped cream / number of ice cream sundaes

(1 /5) ÷ 5

(1 /5) * 1 /5

= 1/25

Hence, each ice cream sundae gets 1/25 of a cup of whipped cream.

Answer:

50/100

Step-by-step explanation:

This is from a test isnt it? Is this the snapshot i had exactly this.......CHEATER O-o

8.16 ounces  of mustard are left after she has eaten 6 hot dogs.

Two or more expressions with an Equal sign is called as Equation.

Mandy has a 10.2-ounce container of mustard.

She uses 1/30 of the mustard to put on her hot dog each time.

By given,

Mandy has a 10.2-ounce container of mustard.

Now, 1/30 of the mustard to put on her hot dog each time to 6 hot dogs, so weight of mustard used is calculated as

1/30×6×10.2=2.04 ounces

So, Amount of Mustard left after eating 6 hot dogs is,

10.2-2.04=8.16 ounces

Therefore, the required amount of mustard left after eating 6 hot dogs is 8.16 ounce.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ6

Answer:

35 new ppl every yr

Step-by-step explanation:

5080÷4870= 210÷6 =35

Answer:

1. 10/21

2. 11/21

Step-by-step explanation:

Answer:

The answer is "$6,306.66"

Step-by-step explanation:

Please find the complete question in the attachment file.

Through analyzing data inside this question, we find

The 52  wk high is = 225.8

The 52  wk low is= 169.96

Closed on = 200.43  in yesterday  

Net changing from yesterday to current date = 13.74

Because 459 shares have today being sold so,

net profit = net change [tex]\times[/tex] number of sold shares

                [tex]=13.74 \times 459\\\\= \$ 6306.66[/tex]

Answer:

D

Step-by-step explanation:

Edge quiz 2021

Answer:

D. x =9, angle measure is 27°.

Step-by-step explanation:

3x° = 27° (vertical angles)

x° = 27°/3

x° = 9°

x = 9

3x° = 3*9° = 27°

So, x =9, angle measure is 27°.

Answer:

sorry for the late...its done have a look