A gym floor has a perimeter of 615 feet What is the
perimeter of the floor in yards?

Answer:

Flagpole

1.8

Step-by-step explanation:

Flagpole is taller by 1.8072 m.

The same attribute is expressed using a unit conversion, but in a different unit of measurement.

For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.

Given:

A flagpole measures 64 feet tall.

A tree measures 17.7 meters tall.

as, we know 1 foot = 0.3048 meter

So, the height of Flagpole in meter is

= 64 x 0.3048

= 19.5072 m

Thus, Height of Flagpole is more than Tree by

= 19.5072 -- 17.7

= 1.8072 m

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Answer:

The equation of the line in slope-intercept form is:

y = x + 3

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Taking two points from the graph

Determining the slope between (0, 3) and (2, 5)

(x₁, y₁) = (0, 3)

(x₂, y₂) = (2, 5)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [5 - 3] / [2 - 0]

               = 2 / 2  

               = 1

Thus, the slope of the line = m = 1

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 3

Thus, the y-intercept b = 3

now substituting b = 3 and m = 1 in the slope-intercept form of line equation

y = mx + b

y = 1(x) + 3

y = x + 3

Therefore, the equation of the line in slope-intercept form is:

y = x + 3

Answer:

4/81

Step-by-step explanation:

So first, the probability that she gets a 3 first is 1/9, because there is only 1 card out of 9 total cards.

Next, the probability that she gets a multiple of 2 is 4/9, because there are 4 different things she can pick (2, 4, 6, 8) out of the total 9 cards.

The last step is to multiply the two, so 1/9 * 4/9 = 4/81.

Answer: 285

Step-by-step explanation:

Jared = 194

Matthew=(194)(3)=582

Gary=582-297=285

Fewer means Substraction

Gary will sell 285 chocolate bars

Answer:

57.6

Step-by-step explanation:

Answer:

$67.75

Step-by-step explanation:

12% off means that 88% of $76.99 is the final price.

76.99×0.88= 67.7512

Answer:

$67.75

Step-by-step explanation:

To calculate 88% (which is 100% - 12%(the discount)) you need to multiply it by 67.75 and divide by 100

Answer:&.&/

Step-by-step explanation:82

Answer:

-3

Step-by-step explanation:

Answer:

a) The general manager should expect 50 customers until there is a winner.

b - i) 0.0483 = 4.83% probability that none of the customers won.

b - ii) 0.1478 = 14.78% probability that exactly one customer won.

b - iii) 0.8039 = 80.39% probability that at least two customers won.

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they win the prize, or they do not. The probability of a customer winning the prize is independent of other customers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

2% probability of winning free pizza

This means that [tex]p = 0.02[/tex]

(a) How many customer should the general manager expect until there is a winner?

The expected number of trials until there is n sucesses, with p probability, is given by:

[tex]E = \frac{n}{p}[/tex]

In this question, 1 winner(success). So

[tex]E = \frac{n}{p} = \frac{1}{0.02} = 50[/tex]

The general manager should expect 50 customers until there is a winner.

(b) If there were 150 customers on a day of the promotion

This means that [tex]n = 150[/tex]

(i) none of the customers won?

This is [tex]P(X = 0)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{150,0}.(0.02)^{0}.(0.98)^{150} = 0.0483[/tex]

0.0483 = 4.83% probability that none of the customers won.

ii) That exactly one customer won?

This is [tex]P(X = 1)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{150,1}.(0.02)^{1}.(0.98)^{149} = 0.1478[/tex]

0.1478 = 14.78% probability that exactly one customer won.

iii) That at least two customers won?

This is [tex]P(X \geq 2) = 1 - P(X < 2)[/tex], in which:

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0483 + 0.1478 = 0.1961[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.1961 = 0.8039[/tex]

0.8039 = 80.39% probability that at least two customers won.

Answer:

(2 * 5/8 * 5/6) + 1 1/8 = 13/

6

= 2 1/

6

≅ 2.1666667

Step-by-step explanation:

Multiple: 2 * 5/ 8  = 2 · 5/ 1 · 8 = 10/ 8 = 5 · 2/ 4 · 2 = 5/ 4

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(10, 8) = 2. In the next intermediate step , cancel by a common factor of 2 gives 5/ 4 .

In words - two multiplied by five eighths = five quarters.

Multiple: the result of step No. 1 * 5/

6 = 5/ 4 * 5/ 6 = 5 · 5/ 4 · 6 = 25/ 24

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(25, 24) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - five quarters multiplied by five sixths = twenty-five twenty-fourths.

Conversion a mixed number 1 1/ 8

to a improper fraction: 1 1/8 = 1 1/ 8 = 1 · 8 + 1/ 8  = 8 + 1/ 8  = 9/ 8

To find new numerator:

a) Multiply the whole number 1 by the denominator 8. Whole number 1 equally 1 * 8/ 8  = 8/ 8  

b) Add the answer from previous step 8 to the numerator 1. New numerator is 8 + 1 = 9

c) Write a previous answer (new numerator 9) over the denominator 8.

One and one eighth is nine eighths

Add: the result of step No. 2 + 9/

8 = 25/ 24  + 9/ 8  = 25/ 24  + 9 · 3/ 8 · 3  = 25/ 24 + 27/ 24  = 25 + 27/ 24  = 52/ 24 = 4 · 13/ 4 · 6  = 13/ 6

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(24, 8) = 24. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 24 × 8 = 192. In the next intermediate step , cancel by a common factor of 4 gives 13/ 6.

In words - twenty-five twenty-fourths plus nine eighths = thirteen sixths.

The expression (2 x 5/8 x 5/6) + 1 1/8 evaluates to 49/24.

To calculate the given expression, we'll follow the order of operations, which states that multiplication and division should be performed before addition.

Let's break down the expression step by step:

Multiply: 2 x 5/8 x 5/6

First, multiply the numerators together: 2 x 5 x 5 = 50.

Then, multiply the denominators together: 8 x 6 = 48.

The expression becomes 50/48.

Add: 50/48 + 1 1/8

To add fractions, we need to find a common denominator. In this case, the common denominator is 8.

Converting the whole number 1 to a fraction with a denominator of 8, we get 8/8.

The expression becomes (50/48) + (8/8).

Next, we add the fractions:

50/48 + 8/8 = (50 + 48)/48 = 98/48.

The fraction 98/48 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:

98/48 = (49 x 2)/(24 x 2) = 49/24.

So, the final answer is 49/24.

The expression (2 x 5/8 x 5/6) + 1 1/8 evaluates to 49/24.

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Answer:

$ 15

Step-by-step explanation:

From the question given above, the following data were obtained:

Avocados >>>> Price (dollars)

3 >>>>>>>>>>>> 5

6 >>>>>>>>>>>> 10

9 >>>>>>>>>>>> ?

From the table above,

3 avocados cost $ 5.

With the above information in mind, we can obtain the cost of 9 avocados as follow:

From the table above,

3 avocados cost $ 5.

Therefore,

9 avocados will cost = (9 × 5)/3 = $ 15

Thus, Josef will pay $ 15 for 9 avocados.

Answer:

15

Step-by-step explanation:

5+10= 15

Answer:

62.5%

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

[tex]x^{3} =8\\x=\sqrt[3]{8} \\x=2[/tex]

use your calculator

Answer:

Use the slope-intercept form

y=mx+b to find the slope m and y-intercept b.

Slope: −1/2

y-intercept: (0,4)

Answer:

x = 8

Step-by-step explanation:

Central angle = measure of intercepted arc

Central angle = 47°

Arc measure = 7 + 5x

Therefore:

7 + 5x = 47

Subtract 7 form both sides

5x = 47 - 7

5x = 40

Divide both sides by 5

x = 40/5

x = 8

Answer:

They are not like terms!

Step-by-step explanation:

Like terms: are terms with the same variable and exponent.

For example:3x and 4x, 9xy and 6yx,

[tex]7 {x}^{2}y \: and \: 2y {x}^{2} [/tex]

If it's helpful ❤❤❤

THANK YOU

Answer:

2.77

Step-by-step explanation:

yes

Answer: 2.77000016 quarts

Answer:

Factor using the perfect square rule.

( 5 x  +  2 ) ^2

Step-by-step explanation:

I hope this helps! Have a nice day!

Answer: 1.perimeter 2.1386c^4m^4 3.=379.44i4^n^4

Step-by-step explanation:

Answer:

3.4

Step-by-step explanation:

The Pythagoras is the sum of the square of two sides is equal to the square of the longest side. Then the length of the rectangular cross-section is 5 inches.

A triangular prism is a closed solid that has two parallel triangle bases connected by a rectangle surface.

A grocer has a block of cheese that has a length of 12 inches, a width of 4 inches, and a height of 3 inches.

Then he slices the cheese into two equal triangular prisms.

Let L be the length of the rectangular cross-section.

The length of the rectangular cross-section will be given by the Pythagoras theorem.

L² = 3² + 4²

L² = 9 + 16

L² = 25

L = √25

L = 5

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9514 1404 393

Answer:

  a = any positive multiple of 3

Step-by-step explanation:

You want ...

  (5 1/3)/(4/a) = whole number

  (16/3)·(a/4) = whole number

  (4a/3) = whole number

This will be the case for a = 3n, for any positive integer n.

Answer:

4.4

Step-by-step explanation:

Answer:

4.4

Step-by-step explanation:

-7/10 + 0.15 = -0.7 + 0.15 = -0.55

-0.55 ÷ -0.125 = 4.4

Hi there!

Slope: -7/3

y-intercept: (0,2)

x y

_______

0 2

6/7 0

Hope I helped

~SharkieOwO~