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Troyanec [42]
4 years ago
5

Which of the following is equivalent to the expression below?

Mathematics
1 answer:
larisa [96]4 years ago
5 0

Answer:

4a^2-6b^2+12

Step-by-step explanation:

(a^2 - 2b^2 + 3) - (4b^2 - 5) + (3a^2 + 4)

distribute the negative sign to each term in the 2nd expression

a^2-2b^2+3-4b^2+5+3a^2+4

combine like terms

4a^2-6b^2+12

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A rectangular parking lot has a perimeter of 384 meters. The length of the parking lot is 36 meters less than the width. Find th
-Dominant- [34]

Answer:

The length and width of the parking lot is 78 meters and 114 meters respectively.

Step-by-step explanation:

Given;

Perimeter of the parking lot = 384\ m

Solution,

Let the width of the parking lot be x.

Then, according to question length = (x-36).

The perimeter of a rectangle is sum of all the sides of rectangle. Which is given by an expression;

perimeter=2\times(length+width)

Now substituting the values, we get;

384=2\times(x-36+x)\\\frac{384}{2}=(2x-36)\\192=2x-36\\192+36=2x\\2x=228\\x=\frac{228}{2}= 114

Width = 114\ m

Length = x-36=114-36=78\ m

Hence the length and width of the parking lot is 78 meters and 114 meters respectively.

6 0
3 years ago
A fair coin is flipped 10 times and the results are observed. The coin lands heads-side up 4 times.
Vedmedyk [2.9K]

Answer:

The experimental probability of the coin landing tails-side up is <u>60</u><u>%</u><u>.</u>

Step-by-step explanation:

The probability of it landing heads up is 4/10. You can use 4/10 to find how many times it landed on tails.

10/10 - 4/10= 6/10 now convert 6/10 into a percentage, 60/100=<u>60%</u>

5 0
4 years ago
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In a class there are two girls for every three boys. The ratio 2 : 3 compares the
alekssr [168]

Answer:

a. I'm not sure if there's more to the question but I can't answer without knowing how many is the whole class

B. 12 boys

4 0
2 years ago
Add 3 5/12 + 2 5/9 . Simplify the answer and write as a mixed number.
Kipish [7]
5 35/36, solving steps attached below

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3 years ago
Alicia already spent $8.25 of her paycheck. If this was 15% of her paycheck, how much was she paid?
faust18 [17]

Answer:

She was paid $55.

Step-by-step explanation:

15%=0.15

8.25/0.15=55

8 0
3 years ago
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