Pablo folds a straw into a triangle with side lengths of 4x2 – 3 inches, 4x2 – 2 inches, and 4x2 – 1 inches. The perimeter of the triangle is 12x2 – 6 inches. If x = 1.5, what was the length of the straw before it was folded?

Answers

Answer 1

Answer: Since the perimeter of a triangle is merely the sum of all sides, the value of the perimeter would give us the length of the straw before it was folded. Given perimeter = 12x^2 - 6, where x = 1.5:

P = 12x^2 - 6
P = 12(1.5)^2 - 6
P = 21

Therefore, the length of the straw before it was folded is 21 inches.

Answer 2

Answer:

Answer:

Step-by-step explanation: 21 because you sub 1.5 in for 12x^2 which is 12(1.5)^2 = 27 minus 6 is 21

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Owen’s grandmother put some money into his savings account on the day he was born. Today, Owen turns 18 years old, and he’s discovered that he has earned $225 in simple interest on his grandmother’s money. If the yearly interest rate was 5%, how much money did his grandmother deposit at the time of his birth?

Answers

Answer:

Step-by-step explanation:

The formula for simple interest is prt = I, where p is the initial investment (our unknown in this case), r is the interest rate in decimal form, t is the time in years, and I is the interest earned. That is NOT the same as the amount of money in the account t years later.

For us,

p = ??,

r = .05,

t = 18, and

I = 225.

Filling in:

p(.05)(18) = 225 and

.9p = 225 so

p = 250

Answer:

The answer is $250.

Step-by-step explanation:

First, the money that his grandmother deposited is called the principal, P. Substitute the given values into the formula, interest equals principal times rate times time, and solve for P. Here, I is 225 dollars and t is 18 years.

Next, the percent given represents the interest rate, r, but first it must be changed to a decimal. To change it, move the decimal point 2 places to the left.

Now, multiply point 0, 5, and 18 to simplify the right side of the equation. The product is point nine.

Finally, divide both sides of the equation by .9 . The result is P equals $225 The principal, or original deposit, is $250.

Find the slope and the y-intercept of the graph of y-1 = 3x + 8.4.The slope is
The y - intercept is

Answers

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Step-by-step explanation:

What is 12.2billion divided by 3.8%

Answers

3.8% = 0.038

12.2 billion / 0.038 = 321.0526... billion (rounded)

12.2 b / 3.8 %

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Kathie was buying materials for a quilt. She bought 4.5 yards of padding, 7.5 yards of cotton, and 4.95 yards of red trim. She also bought some black trim and some white trim. She bought 4 times as much black trim as she did red trim and 3 times as much white trim as red trim. How many yards of trim did Kathie buy for her quilt?

A.
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B.
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C.
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Answers

i think that the answer would be C.

hope i helped

The times it took for 35 loggerhead sea turtle eggs to hatch in a simple random sample are normally distributed, with a mean of 50 days and a standard deviation of 2 days. Assuming a 95% confidence level, what is the margin of error for the population mean? A) 0.06. B) 0.11. C) 0.34. D) 0.66

Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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