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IrinaVladis [17]
3 years ago
7

You decide to put new carpet in your living room and family room. The combined square footage (area) of both rooms is 535 square

feet. The area of the living room is 310 square feet. What is the maximum square footage of the family room?
Mathematics
1 answer:
avanturin [10]3 years ago
5 0

Answer:

The maximum square footage of the family room is 225 square feet.

Step-by-step explanation:

From statement we know the combined area and the area of the living room, the maximum area of the family room is determined by subtracting the area of the living room from the combined area. All areas are measured in square feet:

A = 535\,ft^{2}-310\,ft^{2}

A = 225\,ft^{2}

The maximum square footage of the family room is 225 square feet.

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Misty wishes to obtain 85 ounces of a 40% acid solution by combining a 72% acid solution with a 25% acid solution. How much of e
Y_Kistochka [10]

13.15 ounces of 72% acid and 71.85 ounces of 25% acid are needed

<u>Step-by-step explanation:</u>

Total mass of acid required= 85 ounces

Let the mass of 72% acid be 'a'

Let the mass of 25% acid be 'b'

a + b = 85

b = 85-a

85(40/100) = a(72/100) + b(25/100)

85(2/5) = a(72/100) +(85- a) (25/100)

34 = (72a/100) + (2125/100) - (25a/100)

34 - (2125/100) = (72a + 25a) /100

(3400-2125)/100 = 97a /100

97a = 1275

a =  13.15 ounces

b = 85 - 13.14

b = 71.85 ounces

13.15 ounces of 72% acid and 71.85 ounces of 25% acid are needed

4 0
3 years ago
Clarise evaluated this expression. (66.3 – 14.62) ÷ 0.6 – 0.22 (51.68) ÷ 0.6 – 0.22 (51.68) ÷ 0.42 51.68 ÷ 0.16 32.3 Which error
Gennadij [26K]
Let's go through this problem step by step while bearing in mind the concept of PEMDAS.

Step 1: (66.3-14.62)/0.6-0.2^{2}
Declaration of the expression. Nothing wrong here yet.

Step 2: (51.68)/0.6-0.2^{2}
Clarise evaluated what's inside the parenthesis first - which was the right thing to do! There are no mistakes in this step.

Step 3: (51.68)/0.4^{2}
In this step she subtracted first. This should not be the case! PEMDAS tells us that the exponents and division gets higher priority than subtraction. This is therefore the first mistake Clarise makes.

Step 4: (51.68)/0.16
In this step Clarise evaluates the exponent. This does not violate any rules (relative to the previous expression) since PEMDAS tells us that exponents take higher priority than division.

Step 5: 3.23 (Clarise's final answer)
In Clarise's final step, she manages to get the wrong answer! Dividing 51.68 by 0.16 would give us 323. This is another mistake of Clarise.

Looking at the choices, we can now identify what mistakes Clarise made:
-She subtracted before evaluating the exponents
-She subtracted before she divided
-She divided incorrectly
7 0
3 years ago
Read 2 more answers
What is greater, 3/5r 4/10?
DanielleElmas [232]
3/5 = .6 and 4/10 = .4, so 3/5 is greater than 4/10
7 0
3 years ago
The table below represents the function f, and the following graph represents the function g. x -6 -5 -4 -3 -2 -1 0 1 f(x) 8 -2
BigorU [14]

Answer:

Complete the following statements.

The functions f and g have the same axis of symmetry.

The y-intercept of f is greater than the y-intercept of g.

Over the interval [-6, -3], the average rate of change of f is less than the average rate of change of g.

7 0
2 years ago
PLEASE IM DESPERATE<br> BRAINLIEST+THANKS***
Sloan [31]

ANSWER

Option B

and

Option D.

EXPLANATION

The graph of the function has an amplitude of 2 and a period of

\frac{2\pi}{3}

Choose all the equation that has an amplitude of 2 and a period of

\frac{2\pi}{3}

These are:

y = 2 \sin3(x -  \frac{2\pi}{3} )

and

y = 2 \sin(3x)

The second and the last options are correct.

3 0
3 years ago
Read 2 more answers
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