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GarryVolchara [31]
3 years ago
10

Tricia is building the framework for an entryway window for a house under construction. The window is in the shape of a rectangl

e. The height of the window is represented by the expression 6x – 7 feet. To allow for the maximum amount of light in the entryway, the area of the window is represented by the expression 24x – 28 square feet. What is the base of the window in feet
Mathematics
1 answer:
shusha [124]3 years ago
7 0

The base of the window will be 4 feet.

<em><u>Explanation</u></em>

Suppose, the base of the window is  y feet.

The window is in the shape of a rectangle and the height of the window is (6x-7) feet.

So, <u>the area of the window</u> will be:  base*height = y(6x-7) feet²

Given that, the area of the window is represented by the expression (24x-28) feet²

So, the equation will be ......

y(6x-7)= 24x-28\\ \\ y=\frac{24x-28}{6x-7}=\frac{4(6x-7)}{6x-7} =4

Thus, the base of the window will be 4 feet.

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Answer:

The correct answer is: Negative correlation.

Step-by-step explanation:

The negative correlation determines the relationship between two variables, it says that there is an inverse relationship between two variables, whenever one of them is decreasing, the other one increases, and it's the same in reverse.

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PLS HELP 50 POINTS
natali 33 [55]

Answer:

f(x+1)=(5/6)f(x)on:          Five-sixths Superscript f (x)

EXPLANATION:

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3 years ago
Read 2 more answers
A recipe calls for 14cup of brown sugar for every 23cup of white sugar. How many cups of brown sugar are required for every cup
photoshop1234 [79]

Note: Consider all the numeric values are in the fraction form. Like 14\to \dfrac{1}{4}, 23\to \dfrac{2}{3} etc.

Given:

A recipe calls for \dfrac{1}{4} cup of brown sugar for every \dfrac{2}{3} cup of white sugar.

To find:

The number of cups of brown sugar that are required for every cup of white sugar.

Solution:

We know that,

Required brown sugar for \dfrac{2}{3} cup of white sugar =  \dfrac{1}{4} cup

Using this, we get

Required brown sugar for 1 cup of white sugar =  \dfrac{\dfrac{1}{4}}{\dfrac{2}{3}} cup

                                                                              =\dfrac{1}{4}\times \dfrac{3}{2} cup

                                                                              =\dfrac{3}{8} cup

So, \dfrac{3}{8} cup of brown sugar is required for every cup of white sugar.

Therefore, the correct option is B.

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2 years ago
What is 5/98 in distributive property
miv72 [106K]
The answer is 5÷90+8 and that's the answer does the answer
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3 years ago
Question 12
soldi70 [24.7K]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

The tank for a car holds 17 gallons. The gasoline gauge shows the tank is 3/4 full. How much gas is still in the tank?

Give your answer as a whole number or as a mixed fraction reduced to lowest terms.

Answer:

Gas \: \:left = 12 \frac{3}{4} \: \:gallons \\\\

Step-by-step explanation:

The tank for a car holds 17 gallons.

The gasoline gauge of the car shows that the tank is 3/4 full.

We are asked to find the remaining gasoline in the tank.

Gas \: \:left = \frac{3}{4} \times 17 \\\\Gas \: \:left = \frac{51}{4}  \\\\Gas \: \:left = 12 \frac{3}{4}  \: \:gallons \\\\

Therefore, the remaining gas in the tank is 12\frac{3}{4} gallons.

Alternatively:

1 - \frac{3}{4}  = \frac{1}{4}

Amount of gasoline consumed = \frac{1}{4} \times 17 =  \frac{17}{4}

Amount of gasoline left = total - consumed

Amount of gasoline left = 17 - \frac{17}{4} = 12\frac{3}{4} \:\: gallons

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3 years ago
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