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Yuki888 [10]
9 months ago
5

One week, Kayden earned $146.00 at his job when he worked for 10 hours. If he is

Mathematics
1 answer:
VMariaS [17]9 months ago
4 0

Answer:

3 hours

Step-by-step explanation:

you take the amount that was earned and divide it by the amount he works.

\frac{146.00}{10} = 14.6 per hour.

then to find the number of hours he would have to work next week to earn $43.80 you divide the amount per hour by the amount he would have to work next week.

\frac{43.80}{14.6} = 3 hours

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when 200 apples are sold at Rs 1.50 each there will be rupees hundred loss how many apples should be sold for rupees 150 to gain
Lera25 [3.4K]

Answer:

Step-by-step explanation:

Sales price of 200 apples = 300

At this price, there was loss of Rs. 100

Means the cost of the apples was

300 + 100 = Rs. 400

To earn Rs. 100, they should have been sold for Rs. 500

4 0
3 years ago
Prove by mathematical induction that 1+2+3+...+n= n(n+1)/2 please can someone help me with this ASAP. Thanks​
Iteru [2.4K]

Let

P(n):\ 1+2+\ldots+n = \dfrac{n(n+1)}{2}

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

P(1):\ 1 = \dfrac{1\cdot 2}{2}=1

So, the base case is ok. Now, we need to assume P(n) and prove P(n+1).

P(n+1) states that

P(n+1):\ 1+2+\ldots+n+(n+1) = \dfrac{(n+1)(n+2)}{2}=\dfrac{n^2+3n+2}{2}

Since we're assuming P(n), we can substitute the sum of the first n terms with their expression:

\underbrace{1+2+\ldots+n}_{P(n)}+n+1 = \dfrac{n(n+1)}{2}+n+1=\dfrac{n(n+1)+2n+2}{2}=\dfrac{n^2+3n+2}{2}

Which terminates the proof, since we showed that

P(n+1):\ 1+2+\ldots+n+(n+1) =\dfrac{n^2+3n+2}{2}

as required

4 0
3 years ago
What is 55+84=n+76 answer
rodikova [14]
The answer is n = 63.
8 0
2 years ago
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A cube with a cylindrical hole cut out of the middle is shown. The edge length of the cube is 36 feet, and the circle on the fro
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46204 ft³

<h3>                               <u>Explanation</u>:</h3>

Volume of <u>cube</u>: length³ ⇒ 36³ ⇒ 46656 ft³

Volume of <u>cylinder</u>: πr²h ⇒ π(2)²(36) ⇒ 144π ⇒ 452.39 ft³

Volume of the figure: 46656 - 452.15 = 46203.61 ft³ ≈ 46204 ft³

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2 years ago
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Solve. <br> 4n - 9 = 2 (5+2n)
geniusboy [140]

Answer:

0=19

Step-by-step explanation:

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2 years ago
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