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2 years ago

A carpenter cut three 4 foot 6 inch shelves from a 14 foot board. How long a piece was left over?

Mathematics

2 answers:

ladessa [460]2 years ago

7 0

Answer:

A. 6 inches

Step-by-step explanation:

Since,

1 foot = 12 inches,

Given,

Total length of board = 14 foot = 14 × 12 = 168 inches,

The length of one shelves which is cut from board = 4 foot 6 inches = 4 × 12 + 6 = 48 + 6 = 54 inches,

Also, the number of shelves that are cut from board = 3,

So, the total length of board was cut = 3 × 54 = 162 inches,

Hence, the length of piece left over = Total length of board - The length of board that was cut

= 168 - 162

= 6 inches.

Option A is correct.

never [62]2 years ago

4 0

The answer will be A.6 inches because 4*3=12. Then, multiply 6*3=18 which is a foot and a half. Which only leaves 6 inches remaining

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The closing price (in dollars) per share of stock of tempco electronics on the tth day it was traded is approximated by p(t) = 2

Vaselesa [24]

solution:

The closing price (in dollars) per share of stock of Tempco Electronics on the tth day it was

traded is approximated by

P(t) = 20 + 12 sin πt/30 − 6 sin πt/15 + 4 sin πt/10 − 3 sin 2πt/15 (0 ≤ t ≤ 24)

where t = 0 corresponds to the time the stock was first listed on a major stock exchange.

What was the rate of change of the stock's price at the close of the 15th day of trading?

P'(t) = 12(cos πt/30) - 6 (cos πt/15) + 4(cos πt/10) - 3(cos 2πt/15)

t = 15

P'(t) = 12(cos 15π/30) - 6 (cos 15π/15) + 4(cos 15π/10) - 3(cos 30π/15)

P'(t) = 12(cos π/2) - 6 (cos π) + 4(cos 3π/2) - 3(cos 2π)

P'(t) = 12(0) - 6(-1) + 4(0) - 3(1) = 6 - 3

P'(t) = $3 per day RATE OF CHANGE

the closing price on that day

P(t) = 20 + 12 sin πt/30 − 6 sin πt/15 + 4 sin πt/10 − 3 sin 2πt/15

t = 15

P(t) = 20 + 12 sin 15π/30 − 6 sin 15π/15 + 4 sin 15π/10 − 3 sin 30πt/15

P(t) = 20 + 12 sin π/2 − 6 sin π + 4 sin 3π/2 − 3 sin 2π

P(t) = 20 + 12(1) − 6(0) + 4(-1) − 3(0) = 20 + 12 - 0 - 4 - 0 = 20 + 12 - 4

P(t) = $28 per share close price

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2 years ago

Wade bicycles at a speed of 10 miles an hour and arrives at his office in only 15 minutes. What is the distance in miles to his

bulgar [2K]

Answer:

The distance to his office is 2.5 miles.

Step-by-step explanation:

Given : Wade bicycles at a speed of 10 miles an hour and arrives at his office in only 15 minutes.

To find : What is the distance in miles to his office?

Solution :

The relationship between distance, speed and time is

$\text{Distnace}=\text{Speed}\times \text{Time}$

The speed of bicycle is 10 miles per hour.

Time taken is 15 minutes.

Converting into hours,

1 hour = 60 minutes

1 minute = $\frac{1}{60}$ hours

15 minute = $\frac{15}{60}$ hours

15 minute = 0.25 hours

Substitute the value sin the formula,

$\text{Distnace}=10\times0.25$

$\text{Distnace}=2.5$

Therefore, The distance to his office is 2.5 miles.

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2 years ago

The product of two numbers is 450. the first number is half the second number. which equation can be used to find x, the greater

kow [346]

X*y = 450
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x(1/2x) = 450
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y = 1/2(30)
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so ur numbers are : x = 30 and y = 15...but I am not sure of ur answer choices.

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