Tilly the dog barks every 9 seconds.
Billy the dog barks every 12 seconds.
They both bark at the same time.

After how many seconds will they next bark at the same time?

Answers

Answer 1
Aww... I have a dog named Tilly, *Ahem* It would take 36 seconds. Hope this helpz...
Answer 2
For this question you need to find the Lowest Common Multiple (LCM) of 9 and 12. We do this by finding the prime factorization of each number.
9 = 3 x 3
12 = 3 x 4
The LCM is found by multiply the highest number of each factor.
LCM = 3 x 3 x 4 = 36.

Related Questions

Based on the information provided in the net worth statement, what is the net worth of this person?
A) $265,000.00
B) $307,000.00
C) $445,500.00
D) $752,500.00

Answers

To find this person's net worth, you will add the assets together to get a total value of what they are worth. Then you will need to subtract the amount of liability (amount owed).


( $487,500 + $265000) - $445500

$307000

This person's net worth is $307000.

Godfrey just got a new credit card that offers both an introductory APR and a standard APR. If the standard APR is 11.2%, which of the following rates would most likely be the introductory APR?

Answers

the complete question in the attached figure

Let
x------------------- > introductory APR
y------------------- > standard APR 
 we have that
x < y

the only rate that is lower than the standard is the option A) 1.2%

the answer is 1.2 %

Answer: 1.2-apex

...............

A theater can seat 720 people. The number of rows is 6 less than the number of seats in each row. How many rows of seats are there?

Answers

24 rows of seats with 30 seats in each row

A cell phone company has a basic monthly plan of 40$ plus $0.45 for any minutes uses over 700. Before receiving this statement, John saw he was charged a total of $48.10. Write and solve an equation to determine how many minutes he must have used during the month. Write an equation without decimals.

Answers

40+0.45x=y
x=the number of minutes extra uses
y= total
40+0.45x=48.10
0.45x=48.10-40
0.45x=8.10
0.45/0.45=8.10/0.45
x=18

There are 18 minutes John must have used during the month.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

A cell phone company has a basic monthly plan of 40$ plus $0.45 for any minutes uses over 700.

Before receiving this statement, John saw he was charged a total of $48.10.

Let the time he must have used during the month = x

So, We can formulate the equation as;

⇒ $48.10 = $40 + $0.45 x

Solve for x as;

⇒ 48.10 - 40 = 0.45x

⇒ 8.10 = 0.45x

⇒ x = 8.10 / 0.45

⇒ x = 18

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What is the length of GE? Explain how you determined the length or show your work.

Answers

Post a pic for me so i can answer

What value of x would make rq tangent to Circle P at point Q?

Answers

If Q is tangent to circle P, that means that it is perpendicular to the radius at the point of tangency.  This means that ΔPRQ would be a right triangle.  We can use the Pythagorean theorem to solve this.
9² + 12² = (x+9)²
We use x+9 because the unknown segment x would combine with the radius, 9, to give that side of the triangle (the hypotenuse).
81 + 144 = (x+9)(x+9) ---- remember that squared means multiplied by itself
225 = (x+9)(x+9)
Multiply the right hand side:
225 = x² + 9x + 9x + 81
225 = x² + 18x + 81
Subtract 225 from both sides:
225 - 225 = x² + 18x + 81 - 225
0 = x² + 18x - 144
Use the Quadratic Formula to solve:
[tex]x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\x=\frac{-18 \pm \sqrt{18^2-4(1)(-144)}}{2(1)} \\ \\x=\frac{-18 \pm \sqrt{324--576}}{2} \\ \\x=\frac{-18 \pm \sqrt{324+576}}{2} = \frac{-18 \pm \sqrt{900}}{2}[/tex]
This gives us
[tex]x=\frac{-18 \pm 30}{2} = \frac{-18+30}{2} \text{ or } \frac{-18-30}{2}[/tex]
Since -18 - 30 = -48, and a negative number doesn't make sense in this situation, we have 
x = (-18+30)/2 = 12/2 = 6.

The value of x cannot be negative, hence the value of x would make rq tangent to Circle P at point Q is 6

From the given circle geometry, since the line PQ is perpendicular to QR, hence the triangle PQR is a right-angle triangle.

Given the following from the geometry;

Adjacent side = QR = 12Opposite side = PQ = 9Hypotenuse side = PR = 9 + x

Using the pythagoras theorem;

[tex]c^2=a^2+b^2\\(9+x)^2=9^2+12^2\\81+18x+x^2=81+144\\x^2+18x+81-225=0\\x^2+18x-144=0\\[/tex]

Factorize the result to have;

[tex]x^2+24x-6x-144=0\\x(x+24)-6(x+24)=0\\(x-6)(x+24) =0\\x=6 \ and \ -24\\[/tex]

Since the value of x cannot be negative, hence the value of x would make rq tangent to Circle P at point Q is 6

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simplify 3/8+1/6 help

Answers

Hey there! 

We can solve this problem by cross them 

[tex] \frac{3}{8} + \frac{1}{6} = ? \\ \\ 8 + 1 = ? \\ \\ 6 + 3 = ? \\ \\ \frac{9}{24} + \frac{4}{24} [/tex]

Answer: [tex] \frac{13}{24} [/tex]

Good luck on your assignment and enjoy your day!

~[tex]LoveYourselfFirst:)[/tex]

Choose the correct product of (3x + 8)2. 9x2 − 64 9x2 + 64 9x2 + 48x + 64 9x2 − 48x + 64

Answers

Answer: The correct answer is 9x^2 + 48^x + 64

Step-by-step explanation:

The correct answer is 9x^2 + 48^x + 64

There are y children in an orphanage and they shared $x among themselves. If each of them got $7 there were $4 left.If there were $5 more,each would get $8.
(a) Write the pair of simultaneous linear equation connecting x and y.
(b) Hence, find
(i) x
(ii) y

Answers

a) 7y +4 = x
.. 8y = x +5


b) Subtract the first equation from the second.
.. (8y) -(7y +4) = (x +5) -(x)
.. y -4 = 5
.. y = 9
.. 7*9 +4 = x = 67

bi) x = 67
bii) y = 9

The graph shows the distance, y, in miles, of a moving motorboat from an island for a certain amount of time, x, in hours.

What is the speed of the motorboat?

A) 225 miles per hour
B) 25 miles per hour
C) 75 miles per hour
D) 50 miles per hour

Answers

D because the total distance traveled is 225-25=200 and that happened in 4 hrs 200/4=50/hr

Answer:

Option D.,50 miles per hour

Step-by-step explanation:

The graph shows the distance covered by motor boat at  = y, ( in miles )

The certain amount of time on = x ( in hours )

The slope of the given line will represent the speed of the motorboat.

The given line passes through two points ( 0, 25 ) and ( 4, 225 )

Therefore, slope of the line = [tex]\frac{y-y'}{x-x'}[/tex]

                                              =  [tex]\frac{225-25}{4-0}[/tex]

                                              =   [tex]\frac{200}{4}[/tex]

                                              = 50

The speed of the motorboat is 50 miles per hour.



The following table represents the sample space of rolling two number cubes.
1 2 3 4 5 6
1 1-1 1-2 1-3 1-4 1-5 1-6
2 2-1 2-2 2-3 2-4 2-5 2-6
3 3-1 3-2 3-3 3-4 3-5 3-6
4 4-1 4-2 4-3 4-4 4-5 4-6
5 5-1 5-2 5-3 5-4 5-5 5-6
6 6-1 6-2 6-3 6-4 6-5 6-6

How many favorable outcomes are there for the event "rolling exactly one even number"?

Answers

We just need to count the number of outcomes that have exactly one even number. The total number of outcomes is 36. We see that from the first row, the number of outcomes that qualify are 3: 1-2, 1-4, 1-6 (out of the 6 total outcomes). For the 2nd row, again there are 3: 2-1, 2-3, 2-5. It is obvious by now that for any row, whether the number is even or odd, there are 3 outcomes on that row that correspond to rolling exactly one even number. Hence, there are in total 6*3=18 favorable outcomes.

If eight people sat at a round dinner table and each person had to shake everyone else’s hand once how many handshakes will take place

Answers

Each person shakes 7 hands, but once you count the handshake between A and B, you don't need to count the handshake between B and A. There are a total of 8*7/2 = 28 handshakes.
Another way to look at it is
7 +6+5 +4 + 3 + 2 + 1 = 28

This problem is like the shaking hands problem having to do with what happens at the end of a hockey team. The winners sometimes stay on the ice and the first player goes down the line and "High Fives" all the other members of the team.

He's done so he goes to the dressing room. No more high 5s for him.
Next the second player does the same thing. Then he leaves the ice and so on down the to the last two players when one high fives the other. 

Done.

Your problem is exactly the same.

The formula as you probably know is Sum = (n + 1)*n/2

A power line extends from a light pole 43 meters to the ground and makes an angle of 30 degrees with the ground. To the nearest tenth of a meter, how tall is the light pole?

Answers

Hello,

To solve this problem, you should first draw a picture. Then, you can determine which trig ratio that you will use. In this case, you are dealing with the opposite side from the angle and the hypotenuse.

Therefore, you can use the sin ratio. 

Our equation will be:
sin30 = x/43
0.5 = x/43
21.5 = x

The light pole is 21.5 meters tall.

Good luck,
MrEQ

Lisa goes to school 7 hours per day, works 3 hours per day, and sleeps for 8 hours per day. What is the ratio of hours Lisa works to hours Lisa sleeps?

Answers

hours lisa works    :    hours lisa sleeps
                       3    :    8

The ratio of hours Lisa works to hours Lisa sleep is 3: 8.

what is the ratio?

The comparison of two quantities is known as a ratio. which could be easily determined by dividing one value by other which also indicates the percentage.

Given Lisa works 7 hours per day, works 3 hours per day, and sleeps for 8 hours per day. Therefore, the ratio of hours Lisa works to hours Lisa sleeps is the work hour of Lisa divided by hours of sleep per day.

Hence, the required ratio is  3: 8.

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A builder could get 6 sheets of sheetrock for 3$. If he bought 60 sheets , how much money would he have spent

Answers

The builder would have spent 20$.

solve each system by graphing y=2x-4

Answers

Well if you have something for x you put it in the x and graph
The thing to remember when you first graph an equation is,
y = mx +b
That equation is slope intercept form.
In slope intercept form, m is the slope of the equation. 
y = 2x - 4 the slope is 2 (or 2/1) when graphing remember that it's always x/y
As you're graphing remember to go over 2 and up 1. 
y = 2x - 4 the y intercept is -4. That's where you will start the graph on the y axis.
Hope that helps! :)

on a city map, the scale is 5 cm = 12 km,if a street is 12.5 cm long on the map what is the actual length of the street?

Answers

I'm pretty sure the answer is 30 km

Coco buys a very large rectangular chocolate bar and decides that each day, she
will cut the largest possible square off of the bar and eat it. When the remaining
part of the chocolate bar is a square, she will eat all that is left. The table shows
the area, in square centimeters, of the square Coco eats on each day. If Coco
finishes the chocolate bar on Day 6, what was the length of the longer side of the
chocolate bar when Coco bought it?

Table is included need answer ASAP.

Answers

On each of the six days Coco ate a square piece of chocolate with side length 15 cm, 15 cm, 9 cm, 6 cm, 3 cm and 3 cm, respectively. Since we know the originally chocolate bar was a rectangle the 6 squares must fit together as shown. The length of the longer side of the original chocolate bar, then, was 15 + 15 + 9 =39 cm

Answer: 39

Step-by-step explanation:

On each of the six days Coco ate a square piece of chocolate with side length 15 cm, 15 cm, 9 cm, respectively. Then find the slope versus. 15*15+9*1=236. Then you have to do 236-200=36. Later 36+3, since there were three numbers to get 39.

HELP 11190 POINTS

The dot plot shows the number of visitors. Determine the median of the data set.
A) 56
B) 61
C) 62 
D) 68

Answers

the answer will be 62

Solution:

we are given with a dot plot where we can see that the number of visitors.

we have been asked to find the median of the data set.

From the data plot , we can write the data set as below

56,56,56,56,58,58,60,62,62,62,63,65,65,68,68.

Here the data set is already arranged in the ascending order.

Now if the number of data points in the data set is odd then middle number is the median.

If the number of data points  in the data set is even then the sum of middle two divided by 2 gives the median.

Here the number of data points in the data set is odd.

So the median is 8th value from any side.

Hence the median of the given data set is 62.

George is putting trim around his rectangular deck, including the gate. He will need 48 feet of trim to do the entire deck. If the deck is 14 feet long, how wide is the deck?

Answers

You have to subtract 48 minus 14 and you get 34. Then split 34 and you get 17 which is the width.

We need to convert the given information to meaningful mathematical equation.

Statement: "George is putting trim around his rectangular deck, including the gate. He will need 48 feet of trim to do the entire deck.", it means

[tex] Perimeter \; of\; the\; rectangle=48\; feet [/tex]

Assuming ' L ' as length of the rectangle & ' W ' as the width of the rectangle, the perimeter of rectangle is given by the below formula.

[tex] Perimeter \; of\; the\; rectangle\; =\; 2(L+W) [/tex]

We know "the deck is 14 feet long", which means...

[tex] L=14 \; feet [/tex]

Substituting 14 for L and 48 for Perimeter of rectangle in the formula above, we can set up and equation in terms of W.

[tex] 2(L+W)=Perimeter \; of\; the\; rectangle\\ 2(14+W)=48\\ Divide \; 2\; on\; both\; sides, \; we\; get...\\ \\ \frac{2(14+W)}{2}=\frac{48}{2} \\ Simplifying\; fraction\; on\; both\; sides\\ \\ 14+W=24\\ Subtracting\; 14\; on\; both\; sides\\ \\ 14+W-14=24-14\\ Combine\; like\; terms\\ \\ W=10 [/tex]

Conclusion:

The width of the deck is 10 Feet

A container is 25ft × 50ft.If you have to draw using the scale 1 inch:5ft,what are the dimensions of the container that you will draw?

Answers

Set up a proportion to answer this:
[tex]\frac{1 \text{in}}{5 \text{ft}}= \frac{x \text{in}}{25 \text {ft}}[/tex]
Cross multiply:
[tex]5*x=1*25 \\ 5x=25[/tex]
Divide both sides by 5:
[tex]\frac{5x}{5}= \frac{25}{5} \\ x=5[/tex]
The scale model that matches the 25 ft side of the container will be 5 inches.
The second proportion:
[tex]\frac{1 \text{in}}{5 \text{ft}} = \frac{x \text{in}}{50 \text{ft}}[/tex]
Cross multiply:
[tex]5*x=1*50 \\5x = 50[/tex]
Divide both sides by 5:
[tex]\frac{5x}{5}= \frac{50}{5} \\x = 10[/tex]
The part of the scale model that matches the 50 ft side of the container will be 10 inches.

Which algebraic expressions are polynomials? Check all that apply. PLEASE HELP

Answers

Selections 2, 3, 5, 6 are polynomials.

1 and 4 are not. The coefficients don't have to be integers, but the powers of the variables need to be positive integers. In 1, you have x^-1. in 4, you have x^(1/2).

Answer:

b,c,e,f just did it trust me

Step-by-step explanation:

PLEASE HELP ME! IM GETTING TIMED!!
A cake in the shape of a circus tent is used as a centerpiece at a celebration. The cake consists of a cylinder and a cone. The cylinder has a diameter of 12 inches and a height of 14 inches. The cone has a height of 6 inches. What is the volume of the cake? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi. Show your work.
MAKE SURE TO SHOW YOUR WORK?

Answers

Total volume is volume of cylinder+volume of cone
Volume of cylinder=pi*r^2*h
V=pi*6^2*14
V=1582.56
Volume of cone=pi*r^2*h/3
V=pi*6^2*6/3
V=226.08
1582.56+226.08=1808.64 or 1808.6 cubic inches

Explain how the suffix -less affects the meaning of the spelling words expressionless and fearless. (explain plz) FAST !!!

Answers

The suffix -Less makes the word it applies to the opposite.
The suffic -less affects the meaning of those words because...For Example, Expression-less. The suffix -less is making the word less then what it already is...and so on.

What would my final balance be if I put $650 in the bank for 60 months with an interest rate of 6%?

Answers

It depends on the terms of the account.

If interest is compounded annually, 650*1.06^5 ≈ 869.85 . . . . dollars.
If interest is compounded quarterly, 650*1.015^20 ≈ 875.46 . . dollars.
If interest is compounded monthly, 650*1.005^60 ≈ 876.75 . . .dollars.

Write the equation of a line that is perpendicular to y=-0.3x+6 and that passes through the point (3,-8)

Answers

we know that

if two lines are perpendicular

then

the product of their slopes is equal to minus one

so

[tex]m1*m2=-1\\m2=-1/m1[/tex]

in this problem the slope of the given line is

[tex]m1=-0.3=-\frac{3}{10}[/tex]

the value of m2 is

[tex]m2=-1/(-3/10)=\frac{10}{3}[/tex]

with the point [tex](3,-8)[/tex] and the slope m2 find the equation of the line

the equation of the line in the form point-slope is

[tex]y-y1=m*(x-x1)[/tex]

substitute the values

[tex]y+8=\frac{10}{3}*(x-3)[/tex]

[tex]y=\frac{10}{3}x-10-8[/tex]

[tex]y=\frac{10}{3}x-18[/tex]

therefore

the answer is

[tex]y=\frac{10}{3}x-18[/tex]

2(-20)+3[5/4(20)]+4(50)

Answers

Calculators are really good at this. (Most are.)

-40 +3*25 +200 = 35 +200 = 235

Jarrod helped his teachers pack textbooks into boxes for the summer. He packed 8 boxes of science textbooks with 16 books per box. He also packed math textbooks with 12 books per box.

If x represents the total number of boxes he packed, which of the following equations can be used to find the total number of books that Jarrod packed into boxes?
A.
y = 128x + 12
B.
y = 12(x - 8) + 128
C.
y = 12x + 128
D.
y = 128(x - 8) + 12

Answers

The correct answer is B. y = 12(x - 8) + 128

Final answer:

The correct equation to represent the total number of books Jarrod packed is B. y = 12(x - 8) + 128, which acknowledges he packed 8 boxes of science books and the remaining boxes were for math books.

Explanation:

Jarrod packed 8 boxes of science textbooks with 16 books per box, which totals to 8 × 16 = 128 books.

For the math textbooks, if x represents the total number of boxes packed, then Jarrod would have packed (x - 8) boxes of math textbooks since he already packed 8 boxes of science textbooks.

Each math textbook box contains 12 books, so the number of math books packed is 12 × (x - 8). The total number of books that Jarrod packed is the sum of both science and math books, which is given by 128 + 12 × (x - 8).

The correct equation that represents this word problem is B. y = 12(x - 8) + 128, where y is the total number of books packed and x is the total number of boxes packed.

what is 13 divide to 83.2

Answers

83.2 divided by 13 = 6.4
maybe its 52? Im still learning the basics

What is the value of the 6 in 34.967

Answers

hundred
that's my answer
Six hundredths =P

Hope this helps, send me a message if you have any other questions at all, kiddo =)
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