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Final answer:

To calculate the height of an 8-story building, where each story is 15 4/5 feet tall, multiply the height of one story by the number of stories, resulting in a total height of 126.4 feet.

Explanation:

The question asks how tall a building would be if it has 8 stories, with each story being 15 4/5 feet in height. To find the total height of the building, you need to multiply the height of one story by the number of stories. The height of one story is 15 4/5 feet, which can also be written as 15.8 feet when converted to a decimal. Therefore, the calculation would go as follows:

15.8 feet/story × 8 stories = 126.4 feet

This calculation shows that the total height of the building is 126.4 feet. This example demonstrates how to apply multiplication in real-life scenarios, specifically in calculating the height of structures based on the height of individual stories.

Answer:

 [tex]\displaystyle \frac{632}{5} \;units\;\text{or}\; 126\;\frac{2}{5}\;units \;\text{or}\; 126.4\;units[/tex]

Step-by-step explanation:

     We can multiply the number of stories (8) by the height of each story (15 4/5 units) to find how tall the building is.

           [tex]\displaystyle 8*15\frac{4}{5}=8*\frac{79}{5} =\frac{8*79}{5} = \frac{632}{5} \;units\;\text{or}\; 126\;\frac{2}{5}\;units \;\text{or}\; 126.4\;units[/tex]

Roxanna's normal hourly pay is $12.00.

To find Roxanna's normal hourly pay, we need to first calculate her overtime pay rate. We know that she earns 1.5 her normal hourly rate for overtime pay. Since she earned $72.00 in overtime pay for 4 hours, we can set up an equation to solve for her normal hourly pay:

Overtime Pay = Normal Hourly Pay × Overtime Hours × Overtime Rate

$72.00 = Normal Hourly Pay × 4 × 1.5

Simplifying the equation, we have:

Normal Hourly Pay = $72.00 / (4 × 1.5)

Normal Hourly Pay = $72.00 / 6

Normal Hourly Pay = $12.00

Therefore, Roxanna's normal hourly pay is $12.00.

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Answer:

c

Step-by-step explanation:

102 people purchased a car from Force Motor Company

percentage, a relative value indicating hundredth parts of any quantity.

Given,

The number of people who purchased a new car from Force Motor Company is 170% of the number of people who purchased a new car from Ampere Motors.

If 60 people purchased a car from Ampere Motors, then we need to find number of people who purchased a car from Force Motor Company.

We will find it by

170%×60

170/100×60

1.7×60

102

Hence 102 people purchased a car from Force Motor Company

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Answer: i did it

Step-by-step explanation:

Final answer:

The dimensions of the flat-screen television with an area of 1500 square inches are approximately 38 inches in width and 39 inches in length.

Explanation:

To find the dimensions of a flat-screen television with an area of 1500 square inches and a length that is 1 inch more than its width, we can set up a quadratic equation. Let the width be w inches, then the length would be w + 1 inches. The area of the television's screen is given by the formula:

Area = width × length

Substituting the given values, we get:

1500 = w × (w + 1)

This simplifies to:

w² + w - 1500 = 0

Solving this quadratic equation, we find two potential solutions for w, but only the positive value makes sense in this context. Once we find the value of w, the width, we can then add 1 to get the length.

After calculating, we find that the width w is approximately 38 inches, and the length is approximately 39 inches. Therefore, the dimensions of the television are 38 inches by 39 inches to the nearest whole inch.

The number of game tokens that the friend has can be represented as the algebraic expression '2T + 5', where 'T' represents the number of game tokens the sister has.

The question asks to express the number of game tokens your friend has in terms of 'T', the number of game tokens your sister has. As the information provided states, your friend has '5 more than twice' the amount which your sister has.

The mathematical expression for this will be '2T + 5', where 2T is twice the number of tokens your sister has and 5 is the extra tokens your friend has over twice your sister's total.

So, if your sister has 'T' number of game tokens, your friend will have '2T + 5' number of game tokens.

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Answer:

The distance is [tex]\sqrt{68} =2\sqrt{17}[/tex]

Step-by-step explanation:

Locating the points on the plane we can form a right triangle between them and solve the problem using the Pythagorean theorem.

*see attached image*

The sides of the triangle formed measure 8 and 2, so by pythagoras, the unknow side [tex]x[/tex] wich is the distance between the houses is:

[tex]x^2=8^2+2^2\\x^2=64+4\\x^2=68\\x=\sqrt{68}=\sqrt{4*17}=2\sqrt{17}[/tex]

So the distance, on the grid, between Joe’s house and Andy’s house is [tex]2\sqrt{17}[/tex]

Did the test B and D are correct

[tex]\frac{\frac{4ab}{c} }{\frac{3a}{2c} }[/tex] simplifies to (8b)/3.

To simplify the expression[tex]\frac{\frac{4ab}{c} }{\frac{3a}{2c} }[/tex]

1. Rewrite the expression using the rule that dividing by a fraction is the same as multiplying by its reciprocal:

[tex]\frac{\frac{4ab}{c} }{\frac{3a}{2c} }[/tex]=[tex]\frac{4ab}{c} *\frac{2c}{3a}[/tex]

2. Cancel out common factors:

  - 'c' in the numerator and denominator cancels out.

  - 'a' in the numerator and denominator cancels out.

3. After canceling, we're left with:

  4b * ([tex]\frac{2}{3}[/tex])

4. Multiply 4b by [tex]\frac{2}{3}[/tex]:

  4b * [tex]\frac{2}{3}[/tex] = [tex]\frac{8b}{3}[/tex]

So, [tex]\frac{\frac{4ab}{c} }{\frac{3a}{2c} }[/tex] simplifies to (8b)/3.

The probable question maybe:

simplify the expression[tex]\frac{\frac{4ab}{c} }{\frac{3a}{2c} }[/tex].

Answer:

Whole number between [tex]9\frac{4}{9}[/tex] and [tex]\sqrt{144}[/tex] are 10 and 11.

Step-by-step explanation:

To find : Whole number between [tex]9\frac{4}{9}[/tex] and [tex]\sqrt{144}[/tex]?

Solution :

Writing numbers into simpler forms,

[tex]9\frac{4}{9}=\frac{85}{9}\approx 9.44..[/tex]

[tex]\sqrt{144}=12[/tex]

So, The number between 9.44.. and 12.

i.e. [tex]9.44..<x<12[/tex]

Whole number is defined as a number without fractions or decimal.

Between 9 and 12 the whole numbers are 10 and 11.

Therefore, Whole number between [tex]9\frac{4}{9}[/tex] and [tex]\sqrt{144}[/tex] are 10 and 11.

Final answer:

A 21 cm tall candle should burn for 12 hours, as it is 1.5 times taller than a 14 cm candle which burns for 8 hours.

Explanation:

The problem is one of direct proportion where the height of the candles is directly proportional to the burning time. If a 14 cm tall candle burns for 8 hours, then a 21 cm tall candle, which is 1.5 times taller, should burn for 1.5 times longer. Hence, to calculate the burning time for the 21 cm candle, we multiply 8 hours by 1.5.

Calculation:

21 cm / 14 cm = 1.5

8 hours × 1.5 = 12 hours

Therefore, a 21 cm tall candle should burn for 12 hours.

Answer:

The midpoint of HK is (-4, 1)

Step-by-step explanation:

We are given two coordinates H(-1, 2) and K(-7, -4)

We need to find the midpoint of HK.

We have formula to find the midpoint.

[tex](\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2} }[/tex]

Here [tex]x_1 = -1, y_1 = 2, x_2 = -7 and y_2 = -4[/tex]

Now plug in these values in the above formula, we get

[tex](\frac{-1 + (-7)}{2} , \frac{2 +(-4)}{2} )[/tex]

[tex](\frac{-8}{2}, \frac{-2}{2}  ) =  (-4, -1)[/tex]

So, the midpoint of HK is (-4, 1)