changes color every 12 seconds Strand 2: changes color every 13 seconds
Both strands just changed color. After how many seconds will the strands change color at the same time again?

The strands will change color at the same time again after
seconds.

The probability that the next lamp safety inspector expects will be defective is 1/180.

Formula: P = favourable events/Total events

Put the values in the formula and solve as follows:

Therefore, the probability that the next lamp safety inspector expects will be defective is 1/180.

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Hi

T (0) = 800

T(n+1) = T (n) - 16

General formula is  :  T(n) = 800- 16*n  

with "n" the year you are.  

exemple :  if you search value of machine at year 3,  it's value is  :

t(3) =800 -16*3

t(3)= 800 -48

t(3) = 752

Answer:√78= 8.9 √98= 9.9

Step-by-step explanation:

Answer:

6/7

Step-by-step explanation:

So first, we can simplify 72/98. If we divide both the numerator and denominator by 2, to get a simplified fraction.  So we need to solve 72/2 and 98/2.  72/2 = 36 and 98/2 = 49 So now we have a simplified fraction. So now, we are left with the square root of 36/49, and we apply the radical rule. So now we have simplified radicals that make things easier. The square root of 36 is 6, while the square root of 49 is 7. This is because 36 can be broken down into factors of 6 and 6, so like 6^2 = 36. So square root of 36 is 6. While 49 can be broken down as 7 and 7, so like 7^2 = 49, so square root of 49 is 7. Therefore our answer is 6/7.

I hope this helps, have a blessed day!

Answer:

28 nickels and 17 dimes

Step-by-step explanation:

A nickel is worth 5 cents and a dime is worth 10 cents

If there are X nickels and Y dimes

Total value = 5X + 10Y cents

$3.10 == 3.10 x 100 = 310 cents

So 5X + 10 Y = 310

Divide both sides by 5 to get

5X/5 + 10Y/5 = 310/5

X + 2Y = 62  (1)

The total number of coins is X + Y and is given to be 45

X + Y = 45    (2)

Subtract Eq(2) from Eq(1) to get

X + 2Y - (X + Y) = 62-45 = 17

X + 2Y - X - Y = 17

Collecting like terms

(X - X) + (2Y - Y) = 17

Y = 17

So number of dimes = 17

To find X, the number of nickels use equation (2)

X + 17 = 45

Subtract 17 from both sides

X + 17 - 17 = 45 - 17

X = 28

So number of nickels = 28

Answer:

d. w=13.34

Step-by-step explanation:

The value of w is 13.34 for the given equation. The correct answer is option D.

A solution to an equation is a number that can be substituted for the variable to provide a true number statement.

The equation is given as follows:

3(−5.8 + w) = 22.62

First, we distribute the 3 on the left side of the equation:

-17.4 + 3w = 22.62

Next, we isolate the variable by adding 17.4 to both sides of the equation:

-17.4 + 3w + 17.4 = 22.62 + 17.4

3w = 40.02

Finally, we solve for w by dividing both sides of the equation by 3:

w = 13.34

Therefore, the value of w is 13.34, so the answer is option D.

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Answer: P=2L+2w

Step-by-step explanation:

P=perimeter.

P=2L+2w ==> there are two lengths and two widths in a rectangle. That totals to 4 sides in a rectangle.

Answer:

W to the power of 3 =125

And 125 is same as 5 power power 3.

Therefore W = 5.

Step-by-step explanation:

x²+16=2

x²+16-2=0

x²+14=0

x²=-14

x=√-14=7i

Answer:

2:5, 2/5, 2 to 5

Step-by-step explanation:

The ratio is 6 to 15, but you can simplify that to 2 to 5.

For the given value of angle;

∠A = 62°

The complement of ∠A is; 90 - ∠A

complement = 90 - 62

complement = 28°

Now, for supplementary angle:

For the given: ∠A = 62°

supplementary = 180 - 62

supplementary = 118°

Thus, the complement and supplement are obtained as 28° and 118°.

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The sample size that would make the study on the residents that wear seatbelts regularly most reliable is B. 1,500.

When creating samples, there is a general rule that the higher the sample size, the more reliable the study is.

This is because a larger sample size is more likely to capture the characteristics of the population it is based on.

The most reliable sample size here is therefore 1,500 people.

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The linear equation is

x=33

A linear equation in one variable is defined as an equation with only one variable. The standard form of linear equation in one variable is stated as Ax + B = 0, where A and B can be any two numbers, and x has just one possible value.

36- x=3

x=33

The coefficients can be considered as parameters of the equation, and may be arbitrary expressions, supplied they do no longer incorporate any of the variables. To yield a significant equation, the coefficients required to now not all be 0.

alternatively, a linear equation can be obtained by using equating to zero a linear polynomial over a few area, from which the coefficients are taken.

The answers of such an equation are the values that, whilst substituted for the unknowns, make the equality true.

within the case of just one variable, there may be precisely one solution

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The value of the ratio to fill in the following two multiplicative comparison statements are:

Therefore, the value of the ratio to fill in the following two multiplicative comparison statements are:

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The expression that shows how many total basket the Cavaliers made during the season is 1978+f

The total number of free throws = 1484

The number of two point field goals = f

The number of 3 point field goals = 494

Total number of basket Cavaliers made during the season = Number of free throws + Number of two point goals + Number of three point field goals

Substitute the values in the equation

Total number of basket Cavaliers made during the season= 1484 + f +494

Add them together

1484+ f +494= 1978+f

Hence, the expression that shows how many total basket the Cavaliers made during the season is 1978+f

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Step-by-step explanation:

set x as the number of the adults in the show

500-x - number of children

(500-x)×4+7.25x=3157

2000-4x+7.25x=3157

3.25x=1157

3×1/4x=1157

13/4x=1157/×4

13x=4628/÷13

x=356

356 adult tickets was sold out.

500-356=144

144 child tickets was sold out.

Answer:

Adult tickets sold = 356

Child tickets sold = 144

Step-by-step explanation:

Given information:

Define the variables:

Create two equations from the given information:

[tex]\textsf{Equation 1}: \quad x + y = 500[/tex]

[tex]\textsf{Equation 2}: \quad 7.25x+4y=3157[/tex]

Rewrite Equation 1 to make y the subject:

[tex]\implies y=500-x[/tex]

Substitute this into Equation 2 and solve for x:

[tex]\implies 7.25x+4(500-x)=3157[/tex]

[tex]\implies 7.25x+2000-4x=3157[/tex]

[tex]\implies 3.25x+2000=3157[/tex]

[tex]\implies 3.25x=1157[/tex]

[tex]\implies x=356[/tex]

Substitute the found value of x into the rewritten form of Equation 1 and solve for y:

[tex]\implies y=500-356[/tex]

[tex]\implies y=144[/tex]

Solution

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Answer:

Kelvin, thermometer

Step-by-step explanation:

Unit: kelvin

Measure temperature: thermometer

Answer:

Your answer is [tex]2x^{10}[/tex].

Step-by-step explanation:

Answer:

-17

here is what yourrrr looking for

Answer:

-17

Step-by-step explanation:

Straight multiplication of a negative times a positive

Answer:

Step-by-step explanation:

You want to find the number of dimes (x) and the number of quarters (y) in 19 coins that have a total value of $3.55.

Using the given variables, we can write two equations. One is for the number of coins; the other is for their value.

  x + y = 19 . . . . . . . . . . . number of coins

  10x +25y = 355 . . . . . value in cents

It usually works well to solve an equation involving the highest-value coin. That means we want to eliminate the x-variable. Using the first equation, we can write ...

  x = 19 -y

Substituting into the second equation, we get ...

  10(19 -y) +25y = 355

  190 +15y = 355 . . . simplify

  15y = 165 . . . . . . . subtract 190

  y = 11 . . . . . . . . . . divide by 15

  x = 19 -11 = 8

The number of dimes is 8.

The number of quarters is 11.

__

Alternate solution

The average coin value is 355/19 = 18 13/19 cents. The proportion of the highest-value coins is the ratio of the difference between this value and the lowest value, divided by the difference in values.

  proportion of quarters = (18 13/19 -10)/(25 -10) = (8 13/19)/15 = (165/19)/15

  proportion of quarters = 11/19

Multiplying this by the number of coins (19) gives the number of quarters:

  (11/19)×19 = 11 . . . . quarters

You may recognize some similarities to the above solution.

__

Additional comment

Once you understand this generic solution to a mixture problem, you can use it to write down the answer without bothering with variables and equations.

Answer: GCF: 2a

Step-by-step explanation:

In order to find the factors, we need to list the prime factorization of 2a and 4ab, assuming a and b are prime numbers.

2a: 2*a

4ab: 2*2*a*b

Notice any common factors?

GCF: 2*a=2a

GCF: 2a

algebraic equation solving x, we concluded that In the year 1980 the approximate number of oil barrels imported from Country B per day will be 1.89 million.

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.

y=0.051x+1.38

Let us put y = 1.89

1.89 = 0.051x + 1.38

⇒ x = 0.51/0.051

⇒ x = 10

After ten years, 1.89 million oil barrels per day will be roughly imported from Country B.

Around 1.89 million oil barrels per day would be imported from Country B in the year 1980.

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Answer:

it doesnt make sense because when u add 0's you move the decimal for every 0 added so it would be 450

Step-by-step explanation:

Answer:

48,485

Step-by-step explanation:

I don't know if that would fit in the box but it wants a rounded form of the answer in a whole number. It was actually 48484.84 and so on, but since we want it in a whole number, I decided to round the .8 since it is above 5 which would round up the answer to 48485. the 4 after the .8 can't do anything besides round down since it isn't higher than 5.

According to the arrangement, he must pay a late fee of $25 each month.

The inverse of multiplication is division. If three groups of four add up to twelve, twelve divided into three equal groups adds up to four in each group. The basic purpose of splitting is to determine how many equal groups have been formed or how many people are in each group when equitably sharing.

To divide two numbers, use the formula Dividend Divisor = Quotient + Remainder. The dividend seems to be the number being divided in this case. The number that divides the number (dividend) into equally equal parts is known as the divisor.:

Total late fee = $75.

Rent late for 3 months.

Late fee per month= total late fee/ months

= 75/3

= 25.

Late fee per month= $25.

According to the arrangement, he must pay a late fee of $25 each month.

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Answer:

(8,25)

Step-by-step explanation:

Based on the enlargement the graphic designer applied to the length of the picture, the banner is as wide as 3 ⁸/₁₂ foot long

The fact that 12 inch was enlarged to 2.5 foot means that every inch is:
= 2.5 / 12

= 2.5/12 foot

This means that if the picture was 16 inches wide, the enlarged size of the banner would be:

= 16 x 2.5/12

= 40 / 12

= 3.33

= 3 ⁸/₁₂ foot long

In conclusion, the width of the banner is 3 ⁸/₁₂ foot long

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Answer:

C. triangle 1 and triangle 2

Step-by-step explanation:

Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.