You hang two strings of decorative lights. Strand 1: changes between red and blue every 15 seconds. Strand 2: changes between green and gold every 18 seconds. Both strands just changed color. After how many seconds will the strands change color at the same time again?

Answers

Answer 1

Answer:

The strands change color at the same time again after 90 seconds

Step-by-step explanation:

We are told:

Strand 1: changes between red and blue every 15 seconds.

Strand 2: changes between green and gold every 18 seconds.

To solve for this question, we use the LCM method.

Step 1

List multiples of each number until the first common multiple is found.

Multiples of 15:

15, 30, 45, 60, 75, 90, 105, 120

Multiples of 18:

18, 36, 54, 72, 90, 108, 126

Therefore,

LCM(15, 18) = 90

The first common multiple is 90, and this is the lowest common multiple.

Therefore, the strands will change color at the same time again after 90 seconds.


Related Questions

Time taken by three students to cycle a distance of 5500 m is, A took
8 min and 20 seconds, whereas B took 5 seconds more than C, who took
3 seconds less than A. Find their speed and arrange students
in the increasing order of their speed.
(Speed
Distance]
A,B,C
BAC
C, AB
C, B, A

Answers

Answer:

C,A,B

20 seconds is 1/3 of a minute

A=8 1/3

B= C + 5

B= 5 1/3 + 5

B= 10 1/3

C=A-3

C=8 1/3-3

C=5 1/3

Jillian burns 187 calories when she runs 2 miles. How many miles will she
need to run to burn 500 calories?

Answers

Answer:

I think jillian will have to run 10 miles

Step-by-step explanation:

2 miles = 100 calories

in order to burn 500 calories

2 miles = 100 calories burned

4 miles = 200 calories burned

6 miles = 300 calories burned

8 miles  = 400 calories burned

10 miles = 500 calories burned

i have no clue how to do it

This diagram of a rectangular city park was drawn using a scale of 1 centimeter to 20 meters

(In the diagram shown, assume each square on the grid is 1 centimeter in length.)

What is the area, in square meters, of the actual park?

What is the scale factor?

Answers

Answer:

Scale factor for the drawing from actual park = [tex]\frac{1}{20}[/tex]

Area of the actual park = 1200 cm²

Step-by-step explanation:

Length of the rectangular city park = 5 cm

Width of the rectangular park = 6 cm

Using scale factor 1 cm = 20 meters

Scale factor = [tex]\frac{\text{length of the park in drawing}}{\text{Actual length of park}}=\frac{1}{20}[/tex]

[tex]\frac{5}{\text{Actual length of park}}=\frac{1}{20}[/tex]

Actual length = 5 × 20 = 100 meters

Actual width = 6 × 20 = 120 meters

Area of the rectangular park = length × width

                                               = 100 × 120

                                               = 1200 square meters

Therefore, Scale factor from actual length to the length in drawing = 1 : 20

Area of the rectangular park = 1200 square feet

Helps me solve this problem please

Answers

Answer:

I think it would be -2 or h(x)=-2

Step-by-step explanation:

because if x=3 then that would be 5 x 3 and that would be 15 so 15-17=-2

hope this helps if not sorry!! :)

what is the solution to this equation?



A. x=-4
B. x= 100
C. x= 4
D. x=-100

Answers

Answer:

             D.    x = - 100

Step-by-step explanation:

[tex]\bold{\dfrac x5=-20}\\{}\ \ ^{\cdot5\qquad\cdot5}\\\bold{\dfrac x5\cdot\dfrac51=-20\cdot5}\\\\\bold{x=-100}[/tex]

Here is one of the other ones.

Answers

I’m pretty sure the answer is 2.5!

Tyler bought a jacket regularly priced $35.00.
With a 30% markdown and a sales tax of 6%, approximately what is the cost of Tyler's jacket?

Answers

Answer:

$25.97

Step-by-step explanation:

You want to find 70% of $35.00 because there is a 30% markdown meaning 70% of the original price. 70% is the same as 7/10.

to get the price after markdown multiply $35.00 by 7/10 which equals $24.5

Multiply $24.5 by .06 to get the sales tax which is $1.47

So the sales tax is $1.47 and the price after markdown is $24.5 so take the sum of both. $1.47 + $24.5 = $25.97

The cost of Tyler's jacket is $23.03.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, Tyler bought a jacket regularly priced $35.00.

With a 30% markdown, the cost of jacket is

30% of 35

= 30/100 ×35

= 0.3×35

= 10.5

So, the cost of jacket is 35-10.5=$24.5

Now, sales tax on $24.5

That is, 6% of $24.5

= 6/100 ×24.5

= 0.06×24.5

= 1.47

Cost of jacket is 24.5-1.47

= $23.03

Therefore, the cost of Tyler's jacket is $23.03.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

Una tableta contiene 500 mg de paracetamol, ¿cuántas tabletas se obtendrán con 5kg del mismo medicamento? xfavor ayudenme con explicación y todo lo necesito para el sabado

Answers

Answer:

Se pueden obtener 10.000 comprimidos de 500 mg de paracetamol a partir de la cantidad de 5 kg del medicamento

Step-by-step explanation:

La cantidad en masa de paracetamol en una tableta = 500 mg de paracetamol / tableta

El número de comprimidos que contienen 500 mg de paracetamol que se pueden obtener a partir de 5 kg del medicamento (paracetamol) se calcula dividiendo los 5 kg del medicamento por los 500 mg de paracetamol / comprimido de la siguiente manera;

[tex]El \ nmero \ de \ tableta = \dfrac{5 \ kg \ paracetamol}{500 \ mg \ paracetamol/tableta }[/tex]

Observamos que 5 kg = 5,000,000 mg

Por lo tanto;

[tex]El \ numero \ de \ tableta = \dfrac{5,000,000 \ mg \ paracetamol}{500 \ mg \ paracetamol/tableta } = 10,000 \ tabletas[/tex]

Por tanto, podemos obtener 10.000 comprimidos de 500 mg de paracetamol a partir de la cantidad dada de 5 kg del medicamento.

Find all the zeroes of the polynomial function

[tex]f(x)=x^3 -5x^2+6x -30.[/tex] If you use synthetic division, show all three lines of numbers.

Answers

Answer:

(x -5)(x²  + 6)

Step-by-step explanation:

f(x) = x³ - 5x² + 6x  - 30

Synthetic division:

          5          1     -5      6     -30

                      0      5      0      30

                      1       0      6       0

(x - 5) is  a factor

f(x) = x³ - 5x² + 6x  - 30 = (x -5)(x²  + 6)

what is the answer of 3x-5>1/2x+8x?

Answers

Answer:

x < -10/11

Step-by-step explanation:

ILL GIVE BRAINLIEST!!!!!PLEASE HELP ASAP!!!!

Answers

Answer:

it’s pi

Step-by-step explanation:

points points points points

Which of the following is true about the lines defined by the equations 4x−2y=6 and x+2y=14? .
A.The lines share the same y-intercept.
B.Both lines intersect at point (1,−1).
C.The lines are perpendicular.
D.The lines are parallel.

Answers

Answer:

            Only:  C.  The lines are perpendicular.

Step-by-step explanation:

              4x - 2y = 6                           x + 2y = 14

           - 2y = - 4x + 6                        2y = - x + 14

               y = 2x - 3                             y = - ¹/₂x + 7

A.

y-intecept:  (0, -3)                                 (0, 7)

The lines don't share the same y-intercept

B.

x=1    ⇒   y = 2(1)-3 = -1      and        y = -¹/₂(1) + 7 = 6¹/₂ ≠ -1

the line  x+2y=14 doesn't go through point (1,−1) so the lines couldn't intersect at point (1,−1)

Slope:      m₁ = 2                                    m₂ = -¹/₂

C.

m₁· m₂ = 2·(-¹/₂) = -1

The lines are perpendicular.

D.

m₁  ≠  m₂          The lines are not parallel

I need help!!! :))))

Answers

Answer:

c

Step-by-step explanation:

Answer:

420-20w = 240

Step-by-step explanation:

She starts with $420 and is taking out $20 a week so in the equation the 20 has to be negative because she is withdrawing instead of adding.

Given m|n, find the value of x.

Answers

The value of x is 135 degrees.

Answer:

x = 135°

Step-by-step explanation:

external angles are equal

therefore, x = 135

Lines p and m are intersected by transversalt and p // m. Select all the angles that are congruent to Angle 6.
Angle 1
Angle 2
Angle 3
Angle 4
Angle 7
Angle 8

Answers

Angles 2,3,7 are all congruent to angle 6

Which graph represents a function

Answers

Answer:

D

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainlies!

Answer:

D is for sure a function and just so you know A is never a function.

Step-by-step explanation:

I WILL MAKE YOU BRAINLESS
Evaluate a/b for a = 1/2 and b = -3/7
please explain your answer

Answers

The answer is -7/6 or -1.16 recurring

A jar contains 50 coins, all either 2 cents or 5 cents. The total value of the coins is $1.87.
How many 2 cents coins are there?

Answers

Answer:

there would be 21 cents

Answer:

they would be 21 cents coins

HOPE IT WILL HELP U!

Tracy wants to make 4 curtains. Each requires 54 yards of fabric. How
much fabric does she need?
Pls helpppp!!!!

Answers

Answer:

21 yards

Step-by-step explanation:

4*21/4

84/4

21

Answer:

21yards multiplication

Step-by-step explanation:

Given parameters:

Number of curtains  = 4

Amount of fabric needed = [tex]5\frac{1}{4}[/tex]yards

Unknown:

How much of fabric is needed  = ?

Solution:

   A curtain requires [tex]5\frac{1}{4}[/tex]yards  = [tex]\frac{21}{4}[/tex]yards

  Now to make 4 curtains, we would need  [tex]\frac{21}{4}[/tex] x 4 = 21yards.

Mr. Jamison bought a toaster oven that was originally priced at
$89. He received a 20% discount. What is the sale price of the
toaster oven? PLEASE HELP

Answers

Answer:

The sale price was $71.2

Step-by-step explanation:

Answer:

$71.2

Step-by-step explanation:

Work out 252% of 120.

Answers

Answer:

302.4

Step-by-step explanation:

252% × 120 =

(252 ÷ 100) × 120 =

(252 × 120) ÷ 100 =

30,240 ÷ 100 =

302.4

Answer: 302.4

Step-by-step explanation:

Write 252% as  

252/100

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

252/100 of 120 = 252/100 x 120 =

Therefore, the answer is 302.4

Pick a Number 1-6
Just pick one you maybe get a something out of if who knows?!??!>?!?

Answers

Answer:

3

Step-by-step explanation:

I like the number 3.

Squandering Sam has $1,050 in his bank account. Every week he withdraws $40 to buy scratch off tickets. Saving Sally doesn’t have any money now, but is depositing every penny of the $35 a week she makes into a bank account. How many weeks will it take for Sam and Sally to have the same amount of money in their accounts?

Answers

Answer:

15 weeks

Step-by-step explanation:

Week 1: 1,050 ≠ 0

Week 2: 1,010 ≠ 35

Week 3: 970 ≠ 70

Week 4: 930 ≠ 105

Week 5: 890 ≠ 140

Week 6: 850 ≠ 175

Week 7: 810 ≠ 210

Week 8: 770 ≠ 245

Week 9: 730 ≠ 280

Week 10: 690 ≠ 315

Week 11: 650 ≠ 350

Week 12: 610 ≠ 385

Week 13: 570 ≠ 420

Week 14: 530 ≠ 455

Week 15: 490 = 490

write 36/9 in simplest form

Answers

Answer:

4

Step-by-step explanation:

36/9=4

there are 4 nines in 36

Which of the following is not a real number?

Answers

Answer:  A

Step-by-step explanation: common sense

Answer:

its a -2 because its a negative and when u count u dont start with a negative do u?

Step-by-step explanation:

which form most quickly reveals the vertex?
choose 1 answer:
a. g(x)=-2x^2-16x-14
b. g(x)=-2(x+4)^2+18
c. g(x)=-2(x+1)(x+7)

what is the vertex?
vertext= (___,___)

Answers

Answer:

The most quickly reveals the vertex is g(x) = -2(x + 4)² + 18 ⇒ b

The vertex = (-4, 18)

Step-by-step explanation:

The vertex form of the quadratic function f(x) is:

f(x) = a(x - h)² + k, where

a is the coefficient of x²(h, k) are the coordinates of the vertex point

The most quickly reveals to find the vertex is the vertex form above

Look at the answer and try to find a similar form to the vertex form above

∵ g(x) = -2(x + 4)² + 18

∴ a = -2

∴ h = -4

∴ k = 18

⇒ That means this form is similar to the form above

The most quickly reveals the vertex is g(x) = -2(x + 4)² + 18

The vertex = (-4, 18)

T-shirts cost $4.50 each and shorts cost $6.You have enough money to buy exactly 12 t-shirts and 9 pairs of shorts

How much are you going to spend on shorts?

Answers

Answer:

$54

Step-by-step explanation:

What is the value of d? d = 55

d = 75

d = 125

d = 155

Answers

Answer:

If you're talking about the parallel line then D=125

~~~Hope this helps~~~ :)

Answer:

125

Step-by-step explanation:

At the beginning of the day the stock market points and stays at this level for most of the day. At the end of the day the stock market points from the at the beginning of the day. What is the total change in the stock market from the beginning of the day to the end of the​ day?

Answers

Incomplete question. Here's the full question:

At the beginning of the day, the stock market goes up 30 1/2 points. At the end of the day, the stock market goes down 120 1/4 points. What is the total change in the stock market from the beginning of the day to the end of the day?

Answer:

-15%

Step-by-step explanation:

First, we convert the fraction to a whole number;

At the beginning of the day: [tex]30\frac{1}{2}[/tex] = 15 (30*1 / 2)

At the end of the day:  [tex]120\frac{1}{4}[/tex] = 30 (120 * 1 / 4)

Next, since we are told that at the end of the day, the stock market goes down, it means we will subtract any gain it had by the change;

[tex]15-30 = -15%[/tex]%

Hence, the total change in the stock market from the beginning of the day to the end of the​ day is -15%.

Parallel, Perpendicular
Or Neither

Y = 3x + 1
6x - 2y = 10​

Answers

Since the new slope would be calculated to -3, the equations are neither parallel or perpendicular in accordance to each other.
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