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nirvana33 [79]
3 years ago
12

The first floor of a house consists of a kitchen, playroom, and dining room. The areas of the kitchen, playroom, and dining room

are in the ratio 4:3:2. The combined area of these three rooms is 189 square feet. What is the area of the playroom?
BRAINLIEST WILL BE GIVEN JUST HAVE GOOD EXPLANATION
Mathematics
2 answers:
vredina [299]3 years ago
6 0
You will set up an equation by adding all three ratios together. This is because a ratio is multiples of the same number, “x”. So your equation will be (4x+3x+2x=) 9x=189. Divide each side by 9, x=21. Plug 21 into the ratio of the playroom, which is 3x=3(21)=63. 63 square feet is the answer.
pshichka [43]3 years ago
3 0

Answer:

That is not a ratio

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Answer:

f(x) = 0.5x + 5

Domain: positive whole numbers

Range: f(x) ≥ 5

Step-by-step explanation:

Let's x denote the total number of fruit juice.

This means that if $0.5 for each fruit juice, then the total cost incurred for fruit juice would be $0.5x.

Since she incurred a cost of $5 for 100 cups and $0.5 for each fruit juice, then the total cost, f(x), would be:

f(x) = 0.5x + 5

The domain would be all positive whole numbers (it is restricted to positive whole numbers because a fruit juice can't be "negative" neither can it be "half").

The range is all numbers equal or greater than 5. This is because, even if she does not eventually get fruit juice, she will still incur a cost of 5usd for cups.

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Step-by-step explanation:

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3q+4+9=-14 <br> what is Q
BlackZzzverrR [31]

Hi! Your answer is q = -9

Please see an explanation for a better and clear understanding to your problem.

Any questions about my answer and explanation can be asked through comments! :)

Step-by-step explanation:

Since we want to solve for q-term. That means we are going to isolate q-term.

\huge{3q+4+9=-14}

We can add 4 and 9 together.

\huge{3q+13=-14}

Because we want to know the value of q. That means we have to isolate q-term by subtracting both sides by 13.

\huge{3q+13-13=-14-13}\\\huge{3q=-27}

We are reaching to the final step where we divide the whole equation by 3.

\huge{\frac{3q}{3}=-\frac{27}{3}}\\\huge{q=-9}

Finally, the solution for this equation is q = -9. But what if you are not certain or sure about the answer? Let's check it out!

To check the answer, simply substitute q = -9 in the equation.

\huge{3q+4+9=-14}\\\huge{3(-9)+13=-14}\\\huge{-27+13=-14}\\\huge{-14=-14}

Notice that the equation is true for q = -9. Hence, we can conclude that the solution for this equation is q = -9.

Hope this helps!

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Factor the numerator and denominator and cancel the common factors.

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