Three dogs barked all night last night. Lola, Patch, and Lady began barking together at 11:00 p.m. Then, Lola barked every 5 minutes, Patch every 8 minutes, and Lady every 12 minutes. Later that night, Ms. Li was awakened when all 3 dogs barked together again. At what time was Ms. Li awakened?

Answer:

1:00 a.m. (and 3:00 a.m., and 5:00 a.m.)

Step-by-step explanation:

The problem is to find the least common multiple (LCM) of the barking intervals. One way to find the LCM is to find the product of the factors of the numbers.

... 5 = 5 . . . . a prime number

... 8 = 2³

... 12 = 2²×3

The factor 2³ is a multiple of the factor 2², so we only need 2³ in our final product.

The LCM is then ...

... 2³×3×5 = 120 . . . . minutes

The dogs will all bark together every 120 minutes (2 hours).

2 hours after 11 p.m. is 1 a.m.

_____

The problem statement doesn't say whether Ms. Li was awakened multiple times. The dogs will bark together again at 3 a.m., 5 a.m. and (possibly) 7 a.m.

Answer:

1:00 a.m. (and 3:00 a.m., and 5:00 a.m.)

Step-by-step explanation:

find the least common multiple (LCM) of the barking intervals.

... 5 = 5 . . prime number

... 8 = 2³

... 12 = 2²×3

The factor 2³ is a multiple of the factor 2², so we only need 2³ in our final product.

LCM is then ...

... 2³×3×5 = 120 . . . . minutes

The dogs will all bark together every 120 minutes (2 hours).

2 hours after 11 p.m. is 1 a.m.

Evaluate the expression. Write your answer as a fraction in simplest form.
-3 3/4 x 5/6 - 2 1/3=

1. Diane's has $200 to spend on the basic phone service costs $17.89 per month. If Diane pays for 11 months how much money will she have left over?
2.To lay a drainage system it costs $120 for every 50 feet. Write an equation to determine the cost of laying 300 feet of drainage.
3.Solve: 12 = -4h + 7 +11h

Which of the following would be an appropriate first step to take in solving for "h"?

Group of answer choices

adding 7 to both sides

adding 12 to both sides

combining (-4h) and (11h)

multiplying both side by 4

I NEED ANSWERS QUICKLY PLEASE HELP!!! (I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST WITH THE CORRECT ANSWER!!!)

f(n)=-3n-1
Given this explicit equation, what is the common difference?

A truck and a SUV are 315 miles apart when they start moving towards each other on a straight road. The speed of the SUV is 55 while the truck's speed is 5 mph slower.

How far apart are the vehicles?

Please help me.

i need help on this i was never able to figure it out

I will give brainliest! Make sure to tell me each question label! In a triple batch of a spice mix, there are 6 teaspoons of garlic powder and 15 teaspoons of salt. Answer the following questions about the mix.7a, 7b, 7c, 7d
(7a) How much garlic powder is used with 5 teaspoons of salt? *
(7b) How much salt is used with 8 teaspoons of garlic powder? *
(7c) If there are 14 teaspoons of spice mix, how much salt is in it? *
(7d) How much more salt is there than garlic powder if 6 teaspoons of garlic powder are used? *

Jason wants to plant 66 carrot seeds and 44 onion bulbs. He would like to plant them so
that there are the same number of plants in each row and each row only has one type of plant. a. What is the greatest number of plants he can have in each row? SHOW YOUR
WORK

Solve the equation:
Evaluate -3.28 - (-4.4) +(-p) where p = 9.7

You work two jobs in the winter. You babysit for your neighbor, making $6 per hour, and you clear snow from driveways, making $10 per hour. You want to buy the latest X-Box ™ that costs $500. Write an equation that represents how you can earn enough money to buy the latest X-Box ™.
SECOND PART
Describe two ways that you can earn enough money to buy the latest X-Box ™. Show calculations that prove your two ways are viable answers
I HAVE NO CLUE HOW TO DO THIS PART

can someone help me with this

25 students were randomly sampled about their favorite class,
Math=18 students
Science=2 students
English=2 students
Other=3 students
Predict the number of students in an entire school of 300 students whose favorite subject is math.

i need help ASAP!!!!!!!!!!!!!!!!!!​

This expression involves two numbers written in scientific notation.

Which is the simplified form of the expression?

A hospital ordered 4 boxes of cotton swabs. There were 71 cotton swabs in each box. How many cotton swabs did the hospital order in all

Evaluate: 75 − 21 × 2 − (3 + 7)

Which correctly shows the inequality x < 6?

A recipe calls for 3 cups of milk for every 2 cups of flour. If you have 15 cups of milk, how many cups of flour will you need?

Unit 3 Lessons 1-4 Practice Problems
24 of 2524 of 25 Items























































































Item 24
POSSIBLE POINTS: 21.33
Based on the given measurement in each situation below, estimate the other two measurements for the circle. Use 3.14 as an approximation for pi and round your answer to the nearest whole number.

Remember: Circumference= diameter × π OR Circumference= 2×radius× π

Type your answers in the boxes below.

1. The length of the minute hand on the clock is 5 inches.

Diameter:
inches Circumference:
inches

2. The distance across a sink drain is 3.8 cm.

Radius:
cm Circumference:
cm

3. The tires on a mining truck are 14 feet tall.

Radius:
feet Circumference:
feet

4. The fence around a circular pool is 75 feet long.

Diameter:
feet Radius:
feet

5. The distance from the tip of a slice of pizza to the crust is 7 inches.

Diameter:
inches Circumference:
inches

6. Breaking a cookie in half creates a straight side 10 cm long.

Radius:
cm Circumference:
cm

7. The length of the metal rim around a glass lens is 190 mm.

Diameter:
mm Radius:
mm

8. From the center to the edge of a DVD measures 60 mm.

Diameter:
mm Circumference:
mm

-3 2/7 -(2 2/3) can someone please help me

Choose one card value and its additive inverse. Choose from the list below to write a real-world story problem that would model their sum.
a. Elevation: above and below sea level
b. Money: credits and debits, deposits and withdrawals
c. Temperature: above and below 0 degrees
d. Football: loss and gain of yard

3x+5=29-9x

Solve x. Pls show your working

You use a stain remover on two separate stains on a shirt. Design and use a simulation to find the experimental probability that the stain remover removes both the mud stain and the food stain. Probability of Stain Removal Mud 90% Food 80%

The 5 cheerleaders at Creekwood Middle School want to earn money to buy new uniforms. They need a total of $2500. A local business donated $1281.25 towards the cost of the uniforms. If each cheerleader earns the same amount, how much more money must each cheerleader earn?

Find 2 1/4 divided 3/8. Show your work (Simplify)

The perimeter of a rectangle is 42 inches. If the width of the rectangle is 6 inches, what is the length?
А. 12 inches
B. 15 inches
C. 21 inches
D.40 inches​

More help please! Giving 10 points for this :)

plz help with this problem

Write the expression with fewer terms.

12x-4y+5x

The figure below shows a rectangular prism and a cube:

A rectangular prism and a cube are drawn side by side. The length of the rectangle prism is 5 inches, the width is 4 over 5 inch, and its height is 1 and 3 over 5 inches. The cube has a side length of 1 over 5 inch.

How many such cubes are required to completely pack the prism without any gap or overlap?

ILL GIVE BRAINLIEST I NEED HELP ASAP
Question 1
What is the probability of rolling an odd number on a fair number cube and tossing tails on a fair coin?

A. 1/4
B. 1/2
C. 5/8
D. 5/6

Question 2
A coin is tossed and a fair number cube is rolled.
What is the probability of getting heads and a 3 or 4?

Question 3
You toss a coin and a dice. The probability of getting tails and a 1 or 2 is 1/6. If you conduct 180 trials, predict the number of times the outcome will be heads and a 1 or 2.

A. 1080
B. 30
C. 20
D. 60