MATHEMATICS HIGH SCHOOL

Adam has 4 1/3 gallons of apple juice, 3 5/9 gallons of orange juice, and 3 1/2 gallons of soda in his refrigerator. How many gallons of juice does Adam have altogether in his refrigerator?


A.7 2/3 gallons

B.7 5/6 gallons

C.7 2/9 gallons

D.7 8/9 gallons

Answers

Answer 1
Answer: The answer to the problem is D. 7 8/9

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What is the precent of 2 is 8?

Answers

2 * x/100 = 8

x/100 = 4

x = 400

400%

I can't figure out the answer

Answers

3 should be the answer

Answer:

39

Step-by-step explanation:

y=arctan(0.8)=38.65=39

A peregrine falcon can fly 322 km/h h. How many meters can the falcon fly.

Answers


That depends on how many fish or mice he ate yesterday, how well
he slept last night, and where he really wants to be.

From the information given in the question, the only things we can
really say for sure is that if he maintains his top speed, he will fly
322,000 meters for every hour that he keeps it up, and that he will
be one scrawny, exhausted bird when it's all over.

Liam wants to buy a bicycle that costs $290.00. His parents say Liam must raise 40% of the money himself. How much money must Liam raise?

Answers

Answer:

Liam must raise $116 .

Step-by-step explanation:

Formula

Percentage = (Part\ value* 100)/(Total\ value)

As given

Liam wants to buy a bicycle that costs $290.00.

His parents say Liam must raise 40% of the money himself.

Percentage = 40%

Total value = $290

Putting in the formula

40 = (Part\ value* 100)/(290)

Part\ value = (40* 290)/(100)

Part\ value = (11600)/(100)

Part value = $116

Therefore the Liam must raise $116 .
40/100 * $290.00 is $116.00

"The area of a rectangle is X^2 + 12XY + 27Y^2, and its length is (X + 9Y). Find the breadth of the rectangle."

Answers

Answer:

Hi,

Step-by-step explanation:

Let's factorize the area:

x^2+12xy+27y^2\n=x^2+3xy+9xy+27y^2\n=x(x+3y)+9y(x+3y)\n=(x+3y)(x+9y)\n

The breadth of the rectangle is x+3y

Please help with this question thank you.

Answers

Answer:

  x = 5

Step-by-step explanation:

You can rewrite the right side, then equate the arguments of the log function.

  4·ln(x) = 2·ln(25)

  4·ln(x) = 2·ln(5^2)

  4·ln(x) = 4·ln(5) . . . . . . . use the rule ln(a^b) = b·ln(a)

  x = 5 . . . . . . . . . . . . . . . .divide by 4 and take the antilog

Answer:

x = 5

Step-by-step explanation:

Just as a note, you can look at x = 25 and know that it is not the answer. If it was, then you would get

4ln(25) = 2 ln(25) which reduces down to 4 = 2 when you divide by ln(25) on both sides.

4 ln(x) = 2 ln(25)             Represent 25 as ln(5)^2

4 ln(x) = 2 ln(5)^2           The power on the right can be brought down.

4 ln(x) = 2 * 2 * ln(5)       Divide both sides by 4

4 ln(x)/4 = 4 ln(5)/4        

ln(x) = ln(5)                     Take the antiln of both sides.

antiln(ln(x)) = antiln(5)    

x = 5
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