Bobby's cat runs x mph. Bobby's dog runs twice as fast as his cat.
If cat and dog start running away from each other how far away from each other will they be after 30 minutes?

Bobby's Cat Runs X Mph. Bobby's Dog Runs Twice As Fast As His Cat.If Cat And Dog Start Running Away From

Answers

Answer 1

The distance they(Bobby's cat and dog) will be from each other after 30 minutes is 0.5x miles.

Calculation of distance

The dog runs twice as fast as the cat. Therefore,

Bobby's cat speed = x

Bobby's dog speed = 2x

Therefore,

speed  = distance / time

30 minutes = 0.5 hours

Therefore,

distance = speed × time

distance covered by the cat = x × 0.5 = 0.5x

distance covered by the dog = 2x × 0.5 = x

Therefore, the distance they will be from each other after 30 minutes is as follows:

distance = x - 0.5x = 0.5x

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Related Questions

A.
when are non-forfeiture provisions used?
when the insured names a beneficiary
b. when the insured stops making premium payments on a cash value policy
c. when the insured converts a term policy
d. when the insured dies and there is a settlement

Answers

Answer: should be B

Step-by-step explanation:

Solve the following equation for x to find the total number of people who downloaded songs from a music site for a certain month:

x = 0.6x + 384

How many people downloaded songs from the site that month?

Answers

Answer:

960 people.

Step-by-step explanation:

x = 0.6x + 384

x - 0.6x = 384

0.4x = 384

x = 384 / 0.4 = 960.


You have a coupon for 35% off any purchase over $15 at a pizza shop. If your order totals $18, how
much do you have to pay?

Answers

Answer:

11.7

Step-by-step explanation:

I think that is right because you have to - 35%

please help
what is the equation for the following graph

A=1

Answers

Answer:

[tex]f(x)=\sqrt{x+5}-3[/tex]

Step-by-step explanation:

Given function for graph: [tex]f(x)=\sqrt{x-h}+k[/tex]

Therefore, the parent function is [tex]f(x)=\sqrt{x}[/tex]

[tex]f(x)=\sqrt{x-h}+k[/tex] can be obtained by translating [tex]f(x)=\sqrt{x}[/tex] to [tex]h[/tex] units to the right and [tex]k[/tex] units up

The x and y intercept of [tex]f(x)=\sqrt{x}[/tex] is the origin

Therefore, this graph has been translated 5 units to the left and 3 units down.

Therefore, [tex]h=-5[/tex] and [tex]k=-3[/tex]

Substituting these values into the given function:

[tex]\implies f(x)=\sqrt{x-(-5)}+(-3)[/tex]

[tex]\implies f(x)=\sqrt{x+5}-3[/tex]

Dion is performing a hypothesis test in which the population mean is 92 and the standard deviation is 2. His sample size is 7 with a mean of 93. 5. Which of the following correctly depicts the z-statistic for this data? 0. 28 0. 36 1. 98 2. 63.

Answers

The value of the z statistic for the considered data is given by: Option C: 1.98 approximately.

How to find the z score (z statistic) for the sample mean?

If we're given that:

Sample mean = [tex]\overline{x}[/tex] Sample size = n Population mean = [tex]\mu[/tex] Sample standard deviation = s

Then, we get:

[tex]z = \dfrac{\overline{x} - \mu}{s}[/tex]

If the sample standard deviation is not  given, then we can estimate (in some cases) it by:

[tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]

where [tex]\sigma[/tex] = population standard deviation

For this case, we're specified that:

Sample mean = [tex]\overline{x}[/tex] = 93.5Sample size = n = 7Population mean = [tex]\mu[/tex]  = 92Population standard deviation = [tex]\sigma[/tex] = 2

Thus, the value of the z-statistic is evaluated as:

[tex]z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{93.5 - 92}{2/\sqrt{7}} \approx 1.98[/tex]

Thus, the value of the z statistic for the considered data is given by: Option C: 1.98 approximately.

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A rugby match lasts for 80 mins. 20 mins of a match have been played. a) what Fraction of he match has been played? b) what percentage of the match is there left to play?

Answers

25% has been played and 1/4

Answer:

a, 1/4

b, 75%

Step-by-step explanation:

a, total mins meant to be played = 80mins

mins being played = 20mins

fraction of the match being played = 20 /80 = 1/4

b, percentage of the match left to be played

= 80 - 20 = 60

then we find the fraction of the match meant to be played

60 / 80 = 3 /4

then we multiply by 100 to get the percentage

3/4 × 100 = 75 %

if this helped pls give brainliest

THIS IS MY LAST QUESTION PLEASE HELP ME
Zion Sun Chairs manufactures 3,575 beach chairs each month. Determine the minimum sales price
Zion Sun Chairs must sell each chair for to break even if the total annual fixed costs are $17,363.50
and the variable cost per chair is $52.17.
O $57.03
O $64.50
O $81.25
O $79.65

Answers

Answer:

81.25

Step-by-step explanation:

Answer quick and show work!

Aj and his two friends went out to dinner and the meal's total was $100. They decided to give the server a 20% tip. How much money will the total bill be?

Answers

Answer:

$120

Step-by-step explanation:

I need help on this question

Answers

Answer:

ans: 4/729

Step-by-step explanation:

here,

-2 ^2 = 4

and

(3^3)^2 = 3^6 = 729

= 4/729

A rectangle has an area of 227.9m^2.
One of the sides is 5.3m in length.
Work out the perimeter of the rectangle.

Answers

Divide the area by the side length to find the length of the other side:


227.9/5.3 = 43 m


now calculate the perimeter:

43 + 43 + 5.3 + 5.3 = 96.6m

Answer: 96.6m

Answer:

96.6 m

Step-by-step explanation:

Let the length of the other side b x m .

Then the area = 5.3 * x

227.9 = 5.3x

x = 227.9 / 5.3

= 43 m

So the perimeter = 2 * (width + length)

= 2(5.3 + 43)

= 2 * 48.3

= 96.6 m

K(-3, 0), I(0, 2), and T(3, 0) are three vertices of a kite. Which point could be the fourth vertex?

Answers

The coordinates of the fourth vertex of the kite with vertices (-3, 0), (0, 2) and (3, 0) are represented by the point E(x,y) = (0, -2).

How to determine the fourth vertex of a kite

A rhomboid is a quadrilateral with two pairs of sides of equal length and two pairs of equal angles. A kite is a rhomboid whose vertices observe the following properties: [tex]P_{1} (x, y) = (-x, 0)[/tex]. [tex]P_{2} (x,y) = (0, y)[/tex], [tex]P_{3}(x,y) = (x, 0)[/tex], [tex]P_{4}(x,y) = (0, -y)[/tex].

In this question we must determine the coordinates of the fourth vertices according to the kite characteristics. After a quick comparison in the known points, the coordinates of the fourth vertex are E(x,y) = (0, -2).

The coordinates of the fourth vertex of the kite with vertices (-3, 0), (0, 2) and (3, 0) are represented by the point E(x,y) = (0, -2). [tex]\blacksquare[/tex]

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Looking for some furniture for her new apartment, Susan visits the local swap meet in search of something cheap. Knowing that most swap meet vendors will not accept credit cards and that she will not have any money until her next payday, Susan decides to take out a $200 cash advance on her credit card at an interest rate of 32%. If Susan had no previous balance on her credit card, and she manages to pay off the balance within 1 month, how much will she have to pay in interest? a. $5. 33 b. $32. 00 c. $173. 33 d. $205. 33 Please select the best answer from the choices provided. A B C D.

Answers

The amount that Susan will have to pay in interest is given by: Option A: $5.33 approx.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

For this case, we're given that:

Amonut Susan took out = $200Interest rate = 32% annually (interest rates are usually expressed in annual (yearly) terms).Amount paid off within 1 month

The interest was 32% annually, so in monthly terms, it would be 32/12 = 2.667% approx. (as there are 12 months in each year)

Since the balance was paid within one month, the interest would be simply 1 time calculated on the main balance.

Thus, we get:
Interest amount ≈ 2.667% of $200 = [tex]\dfrac{200}{100} \times 2.667 = 5.334 \approx 5.33 \: \rm (in \: dollars)[/tex]

Thus, the amount that Susan will have to pay in interest is given by: Option A: $5.33 approx.

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(Use distributive property)
6 (5x + 3)

Answers

Answer:

30x + 18

Step-by-step explanation:

Using distributive property, you can find the answer like so.

Multiply 6 and 5x first

6(5x + 3)

30x + 3

Now multiply 6 by 3

6(5x + 3)

30x + 18

Hope I explained this well to you. :)

Adjacent --------------------- Vertical




DBC and ABC

ABC and DBE

CBD and EBA

EBA and ABC





put them where they're supposed to go

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Adjacent Angles are the angles that shares a common arm, where as the vertical angles are the ones that are exact opposite to each other.

Now, since we know the concept, let's dig in ~

DBC and ABC - Adjacent

ABC and DBE - Vertical

CBD and EBA - Vertical

EBA and ABC - Adjacent

which experssion is equivalent to 5(4x+3)-2x

Answers

Answer:

18x + 15

Step-by-step explanation:

First, deal with the first part of the question:

5(4x+3)

We multiply the outside of the brackets with the inside. So, we do

5 x 4x = 20x

and 5 x 3 = 15

then put them together:

20x+15

Now, the second part:

- 2x

We cannot simplify this further so we put the two parts together:

20x + 15 - 2x

Collect like terms (20x - 2x) =

18x + 15

I hope this helped. If you have any further questions, do ask.

- profparis

Find f(2) if f(x)=2x+1

Answers

[tex]f(x) =2 x+1 \\\\ \text{If x = 2,}\\\\f(2) = 2(2) +1 = 4+1 = 5[/tex]

Answer:

5

Step-by-step explanation:

plug 2 in for x

f(2) = 2(2) + 1

f(2) = 5 [Asnwer]

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

the temperature is currently 0°C and
has been falling at a constant rate of 3°C per hour.
If it continues fall at this rate, what will the temperature be:
• in 2 hours?

Answers

Answer:-6°

Step-by-step explanation:

-3° the first hour -6° the next

The answer would be -6 degrees .

Mrs. Barnett has 5 cups of sugar. A batch of cookies uses 1/3 cup of sugar.

How many batches of cookies can she make?

Answers

Answer:

15 batches of cookies

Step-by-step explanation:

We need to find out how many third cups do into 5 cups. We can do this by 5 ÷ 1/3

When dividing fractions, use KFC:

Keep the first fraction the sameFlip the second fractionChange the sign from ÷ to ×

Therefore, 5 ÷ 1/3 = 5 × 3/1 which is 15 batches of cookies

Hope this helps!

separate into real and imaginary parts and find the multiplicative inverse of √2+i/√2-i (only 2 is in the √

Answers

The multiplicative inverse for √2-i = 1/(√2+1) and  The multiplicative inverse is √2+1 = 1/(√2-1)

Real and Imaginary Numbers/Complex Numbers

Given Data

First expression = √2+iSecond expression = √2-i

For√2+i

the real part is  is √2 and the imaginary part is i

The multiplicative inverse is √2+1 = 1/(√2-1)

rationalising the denominator we have

= 1/√2-1 * √2-1/√2-1

= √2-1/(√2-1)*(√2-1)

= √2-1/(2-√2-√2+1)

= √2-1/(-2√2+3)

For√2-i

the real part is  is √2 and the imaginary part is -i

The multiplicative inverse is √2-1 = 1/(√2+1)

Rationalising the denominator we have

= 1/√2+1 * √2+1/√2+1

= √2+1/(√2+1)*(√2+1)

= √2+1/(2+√2+√2+1)

= √2+1/(2√2+3)

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Which statement is true about the transformation?

It is isometric because not all side lengths and angle measures remained the same.
It is isometric because all side lengths and angle measures remained the same.
It is not isometric because not all side lengths and angle measures remained the same.
It is not isometric because all side lengths and angle measures remained the same.

Answers

Answer:

B. It is isometric because all side lengths and angle measures remained the same

Step-by-step explanation:

Answer:

B) It is isometric because all side lengths and angle measures remained the same.

Step-by-step explanation:

Got it right on edge <3

Cover the entire area except for today's date and year April, 1st, Monday

Answers

Answer:

It's friday for me so here u go

Step-by-step explanation:

The sales tax in your state is 5%. If a car cost 16,700 what is the total cost, including tax.

Answers

Answer:

17,535 dollars

Step-by-step explanation:

5% of 16,700 is 835, so add the two together and you get your answer.

Help me pls

-3^3(-8n^3-3n^2)

Answers

-3^3(8n^3 - 3n^2)
-3^3 x 8n^3 - (-3^3 x 3n^2)
-27 x 8n^3 - (-27 x 3n^2)
-216n^3 - (-81n^2)
-216n^3 + 81n^2

6.005= as what percent

Answers

Linguistically, percent can be broken down to:
Per cent

A cent is seen as $0.01, where the one is in the hundredths place.

So, we can multiply this number, 6.005, with 100. Move two decimal places to right, which makes 600.5%!

If you would like to turn a percent into a decimal, divide the percent by 100, or simply put the decimal point to back the left two times!

Answer:

[tex]\displaystyle 600\frac{1}{2}\%[/tex]

Explanation:

Just move the decimal mark twise to the right and you will arrive at your result.

I am joyous to assist you at any time.

A store is open for business while it is being renovated. The noise from the renovation is increasingly driving

away customers. The daily revenue, r (d), the store has made d days since renovation began is modeled by the

function r (d) = 10,000 (0. 939)d. What is the factor of decay in this function?

A

1. 9539

B

10,000

с

0. 0461

D

0. 9539

Answers

The factor of decay in the function that represents the daily revenue of the store is 0.939.

What is the factor that represents decay?

The factor that represents decay is the factor that reduces the growth rate of revenue for this store. In the given function, the factor that represents decay would have a value that is less than one.

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an architect is designibg a tapered office tower where rge ground floor us the largwst amd the floor space is reduced by 6.3% permifloor if the ground gloor has an arra pf 11,400,0ft2 ehat is tje area of the floor to the nearest tenth of a ft2?

Answers

The area of the ground floor after it has been reduced to the nearest tenth is 10,681,800 square foot.

What is the area of the ground floor?

In order to determine the area of the ground floor after it has been reduced, the area of the floor has to reduced by 6.3%.

Area that was reduced = 6.3% x 11,400,000 = 718,200

New area = 11,400,000 - 718,200 = 10,681,800 square foot

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Please help me, I have no Idea how to solve this.

Answers

Answer:

19 ducks are NOT WINNERS
There is a 76% CHANCE that you will not choose a winning duck, so it is VERY LIKELY that you will choose a duck that is not a winner.

Step-by-step explanation:

Answer: 1.) 19 rubber ducks are not winners

2.) There is a 76% chance of not choosing a winning duck

1.) Step-by-step explanation: 25 times 0.24 equals 6, 25-6=19

2.) 0.24 is equal to 24% and 100-24= 76 so 76% chance of not choosing a rubber duck

Please help me with my work

Answers

Answer:

JM = 5 mm

Step-by-step explanation:

Δ JMK is the right angled triangle ⇒ JM² = JK² + KM²

JM² = 3² + 4²

JM = 5 mm

What is the constant term in the expression 8xy + 9x2 y − 5x − 2?

−5
−2
8
9

Answers

Answer:

-2

Step-by-step explanation:

In the expression  [tex]8xy + 9x^2y -5x -2[/tex]

[tex]x[/tex] and [tex]y[/tex] are the variablesThe numbers directly before the variables are the coefficientsThe number that it not attached to a variable is the constant term

Therefore, the constant term is -2

Answer: -2  is the constant term in the expression 8xy + 9x2 y − 5x − 2

Step-by-step explanation:

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have,

the expression 8xy + 9x2 y − 5x − 2

now, we know that,

constant is the number with no variable attached to it.

-2  is the constant term in the expression 8xy + 9x2 y − 5x − 2.

Write x=2 in Slope intercept form

Answers

Answer:

y= 2/1 + 0

Step-by-step explanation:

If there's not a y-int. it'll be 0.

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