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ludmilkaskok [199]
2 years ago
13

A staple of art classes, Crayola Crayons have been around since 1903. The original boxes of Crayola contained eight different-co

lored crayons. The crayons were arranged in two rows of four crayons each. In how many different ways could the crayons have been arranged in the box?
Mathematics
1 answer:
poizon [28]2 years ago
3 0

Answer:

40,320 ways

Step-by-step explanation:

From the above question, we know that there are 8 different coloured crayons

They are arranged in 2 rows, with 4 per row.

The number of different ways through which we can arrange the crayons is determined as:

Since each crayons are differently colored, any color can be first and any color can be in a different spot.

Therefore, this is calculated as:

8!

8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

= 40,320 ways.

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The temperature inside a certain industrial machine at time t seconds after startup, for 0 < t < 10, is given by h(t) = 42
frutty [35]

Answer:

t= \frac{125}{38} s

Step-by-step explanation:

We are given the temperature inside the machine from startup until 10 seconds later, the formula is:

h(t)= 42 \cdot t +1 - 4\cdot t +2  (degrees \, C)

We want to know at what time t the temperature inside the machine will be equal to 128 °C.

So we set:

h(t)=128

42\cdot t+1-4\cdot t+2=128

Now, we rearrange the equation to keep terms with t on the left hand side and terms without t on the right hand side

42\cdot t-4\cdot t=128-1-2

and we simplify:

(42-4)\cdot t= 128-2-1= 125

38 \cdot t = 125

now it's easy to solve for t:

t=\frac{125}{38}

And thus we arrive to the solution.

5 0
3 years ago
A runner runs around a circular track. He completes one lap at a time of t = 269 s at a constant speed of v = 4.6 m/s. What is t
AURORKA [14]

Answer:

\boxed{\text{197 m}}

Step-by-step explanation:

The formula relating distance (d), speed (s), and time (t) is

d = st

1. Calculate the distance

d = 269 s × 4.6 m·s⁻¹ = 1240 m

2.Calculate the track radius

The distance travelled is the circumference of a circle

\begin{array}{rcl}C & = & 2 \pi r\\1240 & = & 2 \pi r\\\\r & = & \dfrac{1240}{2 \pi }\\\\& = & 197\\\end{array}\\\text{The radius of the track is }\boxed{\textbf{197 m}}

5 0
3 years ago
Pwease help!! i need help to put the answers in the box c:
butalik [34]

Answer:

6 months is: 15675

2 months is: 5172.75

1 month is: 2586.37

15 months is: 38795.62

the missing number is: 12 months

Step-by-step explanation:

5 0
3 years ago
if you earn 684.80 for a 32 hour work week, how much would you earn for a 40 hour workweek at the same hourly rate
Dimas [21]
(684.8/32)*40
(21.4)*40
856
3 0
3 years ago
A ramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet, as shown in the figure. The r
SCORPION-xisa [38]

In the given question, it is given that

ramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet.

And we have to find the value of tan B.

And tangent of any angle is equal to the ratio of vertical by horizontal. That is

tan B = \frac{8}{15}

And that's the required missing ratio for tan B .


3 0
3 years ago
Read 2 more answers
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