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iren [92.7K]
3 years ago
9

Andre is planting saplings (baby trees). It takes him 30 minutes to plant 3 saplings. If each sapling takes the same amount of t

ime to plant, how long will it take Andre to plant 14 saplings? If you get stuck, consider using the table.
Mathematics
1 answer:
yulyashka [42]3 years ago
5 0

Answer:

140 minutes

Step-by-step explanation:

If it takes him 30 mins to plant three, then 30 divided into three equal groups is 10. Then we multiply 14 and 10 together since it takes Andre ten minutes to plant each sapling. This means  that the 14 saplings takes ten minutes EACH to plant.

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A family of four goes to the movies. Each ticket costs x dollars and $10 for a drink and candy. Each member of the family got a
raketka [301]

Answer: 4x+40 dollars

Step-by-step explanation:

1. Define: since a ticket costs x dollars and 10$ for a drink and candy, your expression would be x+10 dollars.

2. Distrubute: Since there are 4 people, it would be:

4*(x+10)

3. Simplify: 4*(x+10) => 4x+40

Have a nice day! :D

3 0
3 years ago
Calculate the mean of the following list of numbers: 3, 5, 2, 10, 6, 3, 7, 3
BabaBlast [244]

Answer:

4.875

Step-by-step explanation:

The mean is the average of all the numbers or all the numbers added up divided by how many numbers so

3+5+2+10+6+3+7+3=39 and there are 8 numbers so

39/8 is 4.875 or 4 7/8

4.875

6 0
3 years ago
Find the least common denominator <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B9%7D%20%5Cfrac%7B8%7D%7B4%7D" id="TexFormul
MA_775_DIABLO [31]

Answer:

36 is your least common denominator. Hope this helps

Step-by-step explanation:

8 0
2 years ago
<img src="https://tex.z-dn.net/?f=%5Csf%20%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%20%5Ccfrac%7B%5Csqrt%7Bx-1%7D-2x%20%7D%7Bx-7%7D" id=
BARSIC [14]
<h3>Answer:  -2</h3>

======================================================

Work Shown:

\displaystyle L = \lim_{x\to\infty} \frac{ \sqrt{x-1}-2x }{ x-7 }\\\\\\\displaystyle L = \lim_{x\to\infty} \frac{ \frac{1}{x}\left(\sqrt{x-1}-2x\right) }{ \frac{1}{x}\left(x-7\right) }\\\\\\\displaystyle L = \lim_{x\to\infty} \frac{ \frac{1}{x}*\sqrt{x-1}-\frac{1}{x}*2x }{ \frac{1}{x}*x-\frac{1}{x}*7 }\\\\\\

\displaystyle L = \lim_{x\to\infty} \frac{ \sqrt{\frac{1}{x^2}}*\sqrt{x-1}-2 }{ 1-\frac{7}{x} }\\\\\\\displaystyle L = \lim_{x\to\infty} \frac{ \sqrt{\frac{1}{x^2}*(x-1)}-2 }{ 1-\frac{7}{x} }\\\\\\\displaystyle L = \lim_{x\to\infty} \frac{ \sqrt{\frac{1}{x}-\frac{1}{x^2}}-2 }{ 1-\frac{7}{x} }\\\\\\\displaystyle L = \frac{ \sqrt{0-0}-2 }{ 1-0 }\\\\\\\displaystyle L = \frac{-2}{1}\\\\\\\displaystyle L = -2\\\\\\

-------------------

Explanation:

In the second step, I multiplied top and bottom by 1/x. This divides every term by x. Doing this leaves us with various inner fractions that have the variable in the denominator. Those inner fractions approach 0 as x approaches infinity.

I'm using the rule that

\displaystyle \lim_{x\to\infty} \frac{1}{x^k} = 0\\\\\\

where k is some positive real number constant.

Using that rule will simplify the expression greatly to leave us with -2/1 or simply -2 as the answer.

In a sense, the leading terms of the numerator and denominator are -2x and x respectively. They are the largest terms for each, so to speak. As x gets larger, the influence that -2x and x have will greatly diminish the influence of the other terms.

This effectively means,

\displaystyle L = \lim_{x\to\infty} \frac{ \sqrt{x-1}-2x }{ x-7 } = \lim_{x\to\infty} \frac{ -2x }{ x} = -2\\\\\\

I recommend making a table of values to see what's going on. Or you can graph the given function to see that it slowly approaches y = -2. Keep in mind that it won't actually reach y = -2 itself.

5 0
3 years ago
What’s is the radius of a circle with a area of 3.21 square feet
Rus_ich [418]

approx 1 foot

The area (A) of a circle = πr² ( where r is the radius)

thus r² = A/π ⇒ r = √(A/π = √(3.21/π) =1.0108..... ≈ 1 foot ( to 1 dec. place)

7 0
3 years ago
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