One car alarm is set to go off every ten seconds. Another car alarm is set to go off every 5 seconds, and a third car alarm is set to go off every 4 seconds. If they all go off at the same time due to a loud clap of thunder, how long will it take until they all sound at the same time again?

Answers

Answer 1

Answer:

20 seconds

Step-by-step explanation:

Alarm 1 = every 10 seconds

Alarm 2 = every 5 seconds

Alarm 3 = every 4 seconds

If they all go off at the same time due to a loud clap of thunder, how long will it take until they all sound at the same time again?

To determine how long it will take until they all sound at the same time again, find the lowest common multiple of the three alarm

Alarm 1 (every 10 seconds) = 20, 30, 40, 50, 60, 70, 80, 90,

Alarm 2 (every 5 seconds) = 10, 15, 20, 25, 30, 35, 40, 45, 50

Alarm 3 (every 4 seconds) = 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48

The lowest common multiple of Alarm 1 (every 10 seconds), Alarm 2 (every 5 seconds) and Alarm 3 (every 4 seconds) is 20 seconds

Therefore, they will all sound at the same time again in the next 20 seconds


Related Questions

f(x) = 3x ^ 2 + 2x + 10

Answers

Answer:

No x-intercept (zero)

f(0)=10

Step-by-step explanation:

No x- intercept/Zero

Step-by-step
F(x) = 3x^2 + 2x + 10
To find x-intercept/zero, Substitute
F(x) = 0
0 = 3x^2 + 2x + 10
Swap the side of the equation
3x^2 + 2x + 10 = 0
Solve the quadratic equation
ax^2 +b+c = 0
X= -b+ b^2 -4 a c/ 2a
X= -2+ 2^2 -4 x 3 x 10/2x3
X= -2+ 4-4 x 3 x 10/ 2 x 3
-> x=-2+ 4-120/2 x 3 -> x=-2 4-120/6
X=-2+ -116/6
-> calculate the difference
X= -2+ -116/6
The square root of a negative
number dose not exit in the set of
Real numbers
No x-intercept/zero

Brett decides to order some new books using a $50 gift card he received for his birthday. He decides to buy as many of a new series of books he can without exceeding the amount on his gift card. If each book cost $12.99 and shipping charges are $7.99 for any size order, what is the maximum number of books that Brett can purchase?

Answers

the correct answer is 3

15points+brainliest!! please help :(!

Answers

Answer:

rise 6 units up

Step-by-step explanation:

Answer:

6 units up

Step-by-step explanation:

Take a point

A is at  (-6,-2)

A' is at  (-6,4)

The shift is in the y coordinate of +6

This is a vertical shift

Find the axis of symmetry f(x) = 2x2 - 4x.

Answers

Answer:

x=1

Step-by-step explanation:

The function graph is a parabola (branches pointing up). Vertex (1; -2). The graph is symmetrical about the x axis = 1

[tex]f(x)=2x^{2} -4x \\x_{0} =-b/2a=-(-4)/(2*2)=1\\f(1)=-2\\[/tex]

what is the result of converting 20 ounces into pounds?

Answers

Answer:

20 ounces is 1.25 pounds

Step-by-step explanation:

Answer:

20 ounces -> 1.25 pounds

Step-by-step explanation:

Divide the given ounce value by 16 or multiply the ounce value by 0.0625

20 oz /16 = 1.25 lbs

20 oz x 0.0625 = 1.25 lbs

EXPLAIN: How can you use proportions to solve problems?

NO TROLL ANSWERS!!

Answers

Helps you work with number more effectively

Answer:

In problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. To find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

Step-by-step explanation: i hope this helps if it does vote me the brainliest or like and rate 5 starts if u cant vote me

- 6 - 11
please help i don’t know what i’m doing!!

Answers

Answer:

-17

Step-by-step explanation:

Answer:

-17

Step-by-step explanation:

this is the correct answer

What is 0.007826 converted to scientific notation

Answers

7.826 x 10^-3 ( 10 to the negative 3rd power)

Answer:

7.826 • 10^-3

Step-by-step explanation:

the decimal is moved 3 places to the right in order for there to be a digit in the ones place

because decimal is moved right, the exponent must be negative

9 POWERED C = 243 (INDICES)

Answers

9^c = 243

3^(c)*2 = 243

3^(c)*2 = 3^5

Since the bases are the same the powers can be equated.

2*c =5

c = 5/2

c = 2 1/2

Check

9^2.5 = 243

Use the ^ or y^x or x^y key

42 is 6 times larger than which number

Answers

Answer:

The answer is 7

Step-by-step explanation:

6*7=42

Answer:

252

Step-by-step explanation:

42 x 6 = 252

To cheek the answer: 252 ÷ 42 = 6

Can someone please help me out I need this equation to be completed 5x+5x=10x I don’t understand someone please help

Answers

Answer:no solution

Step-by-step explanation:combine like terms and then subtract 10 from the other side and it becomes no solution

CA-Common Core Math 8 (INT) - 1536
Analyzing a Table
Aaliyah's Savings Plan
25+8.25w
w
t
(w, t)
Equation; t = 25 + 8.25w, where w is the number of
weeks and t is the total Aaliyah saved,
What is the error that occurred when Aaliyah
completed her table?
O The table must start at week 1.
12
25+8.25(12)
124
(12, 124)
13
25+8.25(13)
132.25
(132.25, 13)
O The w and t columns need to be switched.
O The ordered pair (132.25, 13) should be (13,
132.25)
O 25 + 8.25(15) = 148.75 in week 15 is not calculated
correctly.
14
25+8.25(14)
140.5
(14, 140.5)
15
25+8.25(15)
148.75 (15, 148.75)
3) Intro
Done
evious Activity

Answers

Answer:

Its c

Step-by-step explanation:

i just did it on edge

C is correct.

Equation: t = 25 + 8.25w, where w is the number of weeks and t is the total Aaliyah saved.

What is the error that occurred when Aaliyah completed her table? The ordered pair (132.25, 13) should be (13,  132.25).

Can someone help me please

Answers

Answer:

c) 4 or more times

Step-by-step explanation:

please help! i need to find the mean

Answers

Answer:

         The mean is 3.74

Step-by-step explanation:

[tex]\overline x =\dfrac{-3\cdot4+(-2)\cdot2+3\cdot1+4\cdot1+6\cdot4+8\cdot7}{4+2+1+1+4+7}\\\\\\\overline x =\dfrac{-12-4+3+4+24+56}{19}\\\\\\\overline x =\dfrac{71}{19}=3.7368421....\approx3.74[/tex]

keira has 36 cakes,she gives 1/6 of them to tom and 1/9 to sue, how many cakes does she have left?

Answers

Answer:

26

Step-by-step explanation:

1/6 of 36 is 6

1/9 of 36 is 4

6+4=10

36-10= 26

Answer:

26 cakes

Step-by-step explanation:

36 divided by 6 = 6

30 - 6 = 24

36 divided by 9 = 4

6 + 4 = 10

36 - 10 = 26

Hopefully this helps you :)

pls give me brainlest  ;)

What is the mean for the data set, to the nearest whole number? 8.5 10 8 9 I need help

Answers

Answer:

9

Step-by-step explanation:

Add the numbers together and then divide by how many numbers there are.

Answer:

you need to show it

Step-by-step explanation:

Evaluate.
(−2
5
2

)
2

Answers

Answer:

-63504

Step-by-step explanation:

In segment AC, point B is between A and C. Which of the following is true?
A. Point A + Point B = Point C
B. AB + AC = BC
C. AB + BC = AC

Answers

Answer:

b

Step-by-step explanation:

Answer:b

Step-by-step explanation:

Is 8.15 a natural number whole number integer rational irrational or real number ?

Answers

Answer:

Rational

Step-by-step explanation:

A rational number is a number expressed as a fraction. So the number could be a decimal or percent.

Hope This Helps :)

8.15 is a rational number

Point C is on line segment \overline{BD} BD . Given CD=2x,CD=2x, BD=3x+4,BD=3x+4, and BC=2x-1,BC=2x−1, determine the numerical length of \overline{BD}. BD

Answers

Answer:

[tex]BD = 19[/tex]

Step-by-step explanation:

Given

[tex]CD = 2x[/tex]

[tex]BD = 3x + 4[/tex]

[tex]BC = 2x -1[/tex]

Required

Find BD

Since C is on BD, we have:

[tex]BD = BC + CD[/tex]

Substitute values for BD, BC and Cd

[tex]3x + 4 = 2x - 1 + 2x[/tex]

Collect Like Terms

[tex]3x - 2x - 2x = -1 - 4[/tex]

[tex]-x = -5[/tex]

Multiply through by -1

[tex]x = 5[/tex]

Substitute 5 for x in [tex]BD = 3x + 4[/tex]

[tex]BD = 3 * 5 + 4[/tex]

[tex]BD = 19[/tex]

h(-1) means that x is...

Answers

Answer:

-1

Step-by-step explanation:

h(x) is another way to say y. the "x" inside h(x) IS the x value

Question 9
3 pts
2
1
3.
4
If m 1 equals (4x + 2) and m23 equals (5x - 15), what is the value of x?
016
O 14
O 15
17

Answers

Answer:

17

Step-by-step explanation:

m<1 = (4x + 2)

m<3 = (5x - 15)

To find the value of x, we need to generate an equation.

<1 and <3 are vertical angles. Vertical angles are congruent. Therefore:

m<1 = m<3

(4x + 2) = (5x - 15)

Use this equation to solve for x

4x + 2 = 5x - 15

Subtract 5x from both sides

4x + 2 - 5x = 5x - 15 - 5x

-x + 2 = -15

Subtract 2 from both sides

-x + 2 - 2 = -15 - 2

-x = -17

Divide both sides by -1

x = 17

emily bought 3 vases of flowers.the most expensive vase of flowers was 12.00 and least expensive was 8.00 which is a reasonable total amount emily could have paid for the 3 vases of flowers

Answers

Answer:$30

Step-by-step explanation:8+12=20 and I would figure she had another one with a price inbetween the two so I chose 10 and added 20+10=30

Question 1. √80/6 Question 2. (2√5)^2

Answers

Answer:

Q1: is 0

Q2: is 20

Step-by-step explanation:

Q1: Divide the numbers 0 ÷ 6 = 0

√8 × 0

√8 = 2√2

2 × 0 × √2

Apply rule 0 × a = 0

Q2: Apply exponent rule : (a × b)^n = a^n b^n

2^2(√5)^2 = 2^2 (√5)^2

2^2 = 4

4 (√5)2

(√5)^2 = 5

4 × 5

Multiply the numbers: 4 × 5 = 20

The ratio of white cars in the parking lot to
black cars is is 5 to 7. The number of white
cars is 24 less than the number of black cary
How many black cars are there?

Answers

Answer:84

Step-by-step explanation:

you multiply each side by 12. That gets you 60 white cars and 84 black cars. 60 is 24 less than 85

Lines DE and AB intersect at point C.
What is the value of x?

Answers

Answer:

25

Step-by-step explanation:

[tex](2x + 2) +( 5x + 3) = 7x + 5 = 180 \\ 7x = 175 \\ x = 25[/tex]

Answer:

25

Step-by-step explanation:

2x+2+5x+3=180

7x+5=180

7x=175

x=25

Jan joined the dining club at the local cafe for a fee of $29.95. being a member entitles her to save $2.50 every time she buys lunch. so far, Jan calculates that she has saved a total of $12.55 by joining the club. write and solve an equation to find out how many times Jan has eaten lunch at the cafe

Answers

Answer:

17 lunches

Step-by-step explanation:

please help, thanks!

Answers

Answer:

a) 10.5cm

b) 1520cm³ (3 s.f.)

c) 1270cm² (3 s.f.)

Step-by-step explanation:

Please see the attached picture for full solution.

Solve for w.
4 = 0.25(w-4.3)

Answers

W=20.3

solve what's in the parenthesis, move the terms, calculate, then divide both sides.

Answer:

20.3

Step-by-step explanation:

I did it and it was right on khan

Find the distance CD rounded to the nearest renth C=(6,-5) and D=(-1,-4)

Answers

Answer:

The distance from C to D is 7 units left and 1 unit up

Step-by-step explanation:

Answer:

C to D is 7 units left and 1 unit up

Step-by-step explanation:

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