How many 2/3 -ounce packages of peanuts can be made with 8 ounces of peanuts? Explain how you found your answer.

Answers

Answer 1
Answer:

we know that

To know the amount of (2)/(3) ounce peanut packages that can be prepared with 8 ounces of peanuts,

Divide 8 by (2)/(3)

(8)/((2)/(3))  =(8*3)/(2) \n \n =(24)/(2) \n \n =12 packages

therefore

the answer is

12 packages

Answer 2
Answer: 12 packages can be made. It takes 3 packages to make 2 ounces and 3 multiplied by 4 is 12.

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3. The length of the hypotenuse of a right triangle is 12 yards. Theother two sides are equal in length. Find the length of each side to the
nearest tenth of a yard.

Answers

Answer: The other two sides measure 8.5 yards each

Step-by-step explanation: The triangle is a right angled triangle with the other two sides of equal measurement. What this means is that, one angle measures 90 degrees and the other two angles would be of equal measurement. The reason being that we have an isosceles triangle and one property of an isosceles triangle is that two sides are equal and two angles are equal. If one angle measures 90, then the other two would be measured as

(180 - 90)/2 and this equals

90/2 and that equals 45 degrees each. To calculate the length of the equal sides, we use the trigonometric ratio of sine.

(Let one of the unknown sides be A)

Sin 45 = opposite/hypotenuse

Sin 45 = A/12

By cross multiplication we now have

Sin 45 x 12 = A

0.7071 x 12 =A

8.4852 = A

To the nearest tenth

A = 8.5 yards

This means the other equal side would measure 8.5 yards as well.

What is the answer to 3+5

Answers

8 is 3+5, that would be the correct answer
3+5=8

Hope This Helps and God Bless!

What is the solution set of the equation x^2-3x-4=6

Answers

Answer:

x = 5, x = -2

Step-by-step explanation:

x² - 3x - 4 = 6

Subtract: x² - 3x - 10 = 0

Find two numbers to factor: adds up to -3x, product is -10x²: -5x and 2x

Substitute: x² - 5x + 2x - 10 = 0

Factor: (x - 5)(x + 2) = 0

Solutions: x = 5, x = -2

A towns population went from 25800 to 42600 in 15 years. What was the percent of change

Answers

Answer:

\% Change = (|42600 -25800|)/(25800) x100 =65.116 \%

Step-by-step explanation:

The percent of change respect a reference value is given by the following formula:

\% Change = (|Final -Initial|)/(Initial) x100

On this case the initial value is 25800 and the final value 42600. So we can replace into the formula and we got:

\% Change = (|42600 -25800|)/(25800) x100 =65.116 \%

So then the increase respect the initial value is 65.116%, and makes sense since:

1.65116 *25800 =42600

165.1162791...%
To find this answer, I divided 42,600 by 25,800 and got 1.651162791... I then multiplied it by 100 to convert it into a percent and got 165.1162791...%

The "..." after the number means that the numbers continue to go on but are essentially unnecessary.

In conclusion, when you multiply 1.651162791... you get 42,600.

What is 3 3/4 times 2 4/5 as a mixed number

Answers

210 would be the answer mutiply the botom of the fraction with the number and add the top of the fraction do that to both then add them together it would look like this
3times 4 +3=15 and 2 times 5+4=14  15 times 14= 210
10 1/2 is the answer.

Steps:
Change the fraction to improper fractions.
Multiply
Reduce
Change to proper fraction

Steps(Another Way):
Change the fraction to improper fractions.
Reduce by crossing it(5 and 15 reduced to 1 and 3; 4 and 14 reduced to 2 and 7.)
Change answer to proper fraction.

What is the number 4,305,012 written in expanded notation

Answers

The number in expanded notation is 4,000,000+300,000+5,000+10+2.