The track is 9.76 m wide all the way around. What is the distance around the outside of the track? Explain or show your reasoning.

Surface area is the sum of the area of faces of a figure. The ratio of their surface area is 2268 : 112

A prism is a solid shape with 6 faces

The formula for calculating the total surface area is expressed as:

TSA = 2(lw+wh+lh)

For the Red prism

Ar = 2(162 +324 + 648)
Ar = 2268 square units

For the blue prism

Ab = 2(8 + 16 + 32)
Ab = 112 square units

Take the ratio of the surface area

Ratio = 2268 : 112

Hence the ratio of their surface area is 2268 : 112

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Surface area is the sum of the area of faces of a figure. The ratio of their surface area is 4:81.

How to calculate the surface area of a prism?

A prism is a solid shape with 6 faces

The formula for calculating the total surface area is expressed as:

TSA = 2(LW+WH+LH)

For the Red prism

For the blue prism

Take the ratio of the surface area

Ratio = 4:81

Hence the ratio of their surface area is 4:81

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Answer:

with what

Step-by-step explanation:

ask your teacher

Answer:

4 hours

Step-by-step explanation:

Since we know he travels at a rate of 1:7.5 all we have to do is divide 7.5 by 30. Do you use proportions? You can set this up as a proportion and the find answer easily.

1[tex]\frac{1}{7.5} =\frac{x}{30}[/tex]

Now we cross product.

7.5 multipled by x  =7.5x

1x30=30

so now we have

7.5x=30

Now we have to divide 7.5 on both sides which gives us

x=4

The probability that a randomly selected employee has received the 5-year gift is 39.29%

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that a randomly selected employee has received the 5-year gift = number of employees who have received the gift / total number of employees

11/28 x 100 = 39.29%

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Answer:

Yes, the equation represents a linear relationship.

Step-by-step explanation:

If you graph it, it is a line.

Also, the exponent on the x and the y is exactly 1. There are no variables in the denominator, nor inside a radical. There are no squared, cubes or higher exponents. All these things will make an equation NOT linear.

Answer + Step-by-step explanation:

let x be the time that Eric spends running

    y be the time that Eric spends walking

a) the statement “Eric runs and walks for a total of 12 minutes to reach his goal” is equivalent to the equation: x + y = 12

b) the coordinates of the intersection point are (5.333...  ,  6.666...)

Interpretation:

the time that Eric spends running is 5.333... minutes  

the time that Eric spends walking  is 6.666... minutes

Answer:

Given equation:

[tex]200x+80y=1600[/tex]

where:

If Eric runs and walks for a total of 12 minutes, then:

[tex]x+y=12[/tex]

To graph:

[tex]200x+80y=1600 \implies y=20-\dfrac{5}{2}x[/tex]

[tex]\textsf{x-intercept}: \quad 20-\dfrac{5}{2}x=0 \implies x=8 \implies (8,0)[/tex]

[tex]\textsf{y-intercept}: \quad 20-\dfrac{5}{2}(0)=20 \implies (0,20)[/tex]

[tex]x+y=12 \implies y=12-x[/tex]

[tex]\textsf{x-intercept}: \quad 12-x=0 \implies x=12 \implies (12,0)[/tex]

[tex]\textsf{y-intercept}: \quad 12-0=12 \implies (0,12)[/tex]

Point of intersection (equate equations):

[tex]\begin{aligned}20-\dfrac{5}{2}x &=12-x\\20-12 &=\dfrac{5}{2}x-x\\8&=\dfrac{3}{2}x\\16 &=3x\\x &=\dfrac{16}{3}\end{aligned}[/tex]

[tex]y=12-\dfrac{16}{3}=\dfrac{20}{3}[/tex]

[tex]\implies \left(\dfrac{16}{3},\dfrac{20}{3}\right)[/tex]

The point of intersection tells us that Eric runs for 16/3 mins and walks for 20/3 minutes.

The rate of gallons per square foot is 0.624 gallons per square foot.

A rate demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B). This indicates that you're dividing information A by B.

In this scenario, watering a lawn requires 623 gallons of water for every 1000 sq. ft.

The rate of gallons per square foot will be:

= Number of gallons / Square foot

= 623 / 1000

= 0.623

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Answer:

jack take 3.33 hours and diane would take 5 hours

Step-by-step explanation:

Answer:

I can't understand

Step-by-step explanation:

Answer:

35 pages per minute is the unit rate

Step-by-step explanation:

Divide 175 by 5 to find the unit rate

The center and shape of the distribution are 2.5 and symmetric. Then the correct option is B.

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

[tex]X \sim B(n,p)[/tex]

The probability that out of n trials, there'd be x successes is given by

[tex]\rm P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]

Then the center and shape of the distribution will be 2.5.

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Answer:

Center : 2.5 Shape: Symmetric

Step-by-step explanation:

Trust Fam

Answer:

y = -x - 4

Step-by-step explanation:

y = mx + b

m = rise/run = -5/5 = -1

b = y-intercept = (0, -4)

Look at the below example you may understand better

Step-by-step explanation:

[tex] = {6x}^{3} - {3x}^{2} + 7x - 4[/tex]

[tex] = 6 \times 125 - 3 \times 25 + 7 \times 5 - 4[/tex]

[tex] = 750 - 75 + 35 - 4[/tex]

[tex] = 750 + 35 - 75 - 4 [/tex]

[tex] = 706..[/tex]

Answer:

Step-by-step explanation:

Given:

To Find:

Solution:

We know that,

Substituting the required values,

⇢ Perimeter = 2(8 + 6)

⇢ Perimeter = 2(14)

⇢ Perimeter = 28 yards

Hence,

Answer: 1500

Hope this helps! :)

Please mark brainliest.

1.427381

the nearest hundredth thousandths place.

if the the number right to the hundred thousandths place is 5 or more round up, if not keep it as it is.

= 1.42738

therefore, 1.427381 rounded to the nearest hundred thousandths is 1.42738

The answer is 1.42738

Answer:

It's mean (I checked this) :)

Step-by-step explanation:

=========================================================

Explanation:

In this case,

Divide A/B to find the experimental probability of landing inside the figure

A/B = (5,710)/(10,000) = 0.571

There's about a 57.1% chance of landing inside the figure.

The entire region is 15 units by 40 units, giving an overall area of 15*40 = 600 square units.

Roughly 57.1% of this total area would be taken up by the irregular figure

57.1% of 600 = 0.571*600 = 342.6 which rounds to 343

The area of the irregular region is about 343 square units

Answer:

4.796

Step-by-step explanation:

Answer:

i think they are 23, 50, and 64!

Step-by-step explanation:

Answer:

30lbs

Step-by-step explanation:

5x6 i think lol maybe

-9 and -3

hope it helps...!!!

Answer: 5/2

To convert 2.5 into a fraction, firstly we will write the number in x/y form, where x and y are positive integers. So, 2.5 can be written as 2.5/1. For the removal of the decimal, we multiply and divide by 10. And we get, 2.5/1 x 10/10 = 25/10 = 5/2.

Answer:

Asking every 5th person their age

Step-by-step explanation:

I just did the quiz