Ask question

Ask question

All categories

3 years ago

7

A plumber had a pipe that was 2 yards long. He cut 18 inches off the end of the pipe. How many feet long was the pipe after the

plumber cut it?
1 yard = 3 feet
1 foot =12 inches

1 answer:

GaryK [48]3 years ago

8 0

2 yards = 6 feet
6 feet - 1.5 feet = 4.5 feet
The pipe was 4.5 feet long after being cut.

You might be interested in

If I have "at least" $20 in my pocket, what are some

Reptile [31]

Answer: $20.01

$20.99

$20

$80

$1,000

Step-by-step explanation:

The reason why is because they are $20 or more. if it was $19.99 then no.

5 0

3 years ago

Brendan bought an iced tea that cost $4.06 plus 7% sales tax. If Brendan left an 18% tip on the $4.06, how much in total did he

ahrayia [7]

Answer:

Step-by-step explanation:

18% tip in $=18/100 * $4.06

$0.7308

7% sales tax in $= 7/100 * $4.06

$0.2842

Total amount he paid= $0.7308+$0.2842+$4.06

$5.07500

6 0

3 years ago

Read 2 more answers

6 groups of students sell 162 balloons at the school carnival. there are 3 students in each group. if each student sells the sam

Serga [27]

They have enough balloons because I used division as my operation. 3 can go into 16 five times. I got 1 after subtracting and bring down 2. 3 can go into 12 evenly 4 times. 12 minus 12 equals 0 with no remainder. So, they get 54 balloons for each group. But I want to know how many EACH student gets enough balloons. 54 divided by 6 groups equals 9 balloons for each student. GLOSSARY: Division - Set of operation that breaks down numbers into equal parts | Remainder - left over ||

6 0

3 years ago

Read 2 more answers

Assume that it costs Apple approximately E(x) 25,600 + 100x + 0.012 dollars to manufacture x 32GB iPods in a day. (a) The averag

uranmaximum [27]

Answer:

(a) $C'(x)=\dfrac{x^2-2560000}{x^2}$

(b)x=1600, Minimum Average Cost Per iPod=$132

(c) $C''(x)=\dfrac{5120000}{x^3}$

The result, C''(1600) is positive, which means that the average cost is Concave up at the critical point, and the critical point is a minimum.

Step-by-step explanation:

Given that it costs Apple approximately $ C(x) to manufacture x 32GB iPods in a day, where:

$C(x)=25,600+100x+0.01x^2$

(a)The average cost per iPod when they manufacture x iPods in a day is given by:

$Cost \:Per \:iPod=\dfrac{C(x)}{x} =\dfrac{25,600+100x+0.01x^2}{x}$

The average cost per iPod is therefore:

$C'(x)=\dfrac{x^2-2560000}{x^2}$

(b)To minimize average cost of x iPods per day, we set the average cost per iPod=0 and solve for x.

$C'(x)=\dfrac{x^2-2560000}{x^2}=0\\x^2-2560000=0\\x^2=2560000\\x=\sqrt{2560000}=1600$

The resulting minimum average cost (at x=1600) is given as:

$Cost \:Per \:iPod=\dfrac{C(x)}{x} =\dfrac{25,600+100x+0.01x^2}{x}\\\dfrac{25,600+100(1600)+0.01(1600)^2}{1600}\\=\$132$

<u>Second derivative test</u>

(c)The answer above is a critical point for the average cost function. To show it is a minimum, we calculate the second derivative of the average cost function.

$C''(x)=\dfrac{5120000}{x^3}$

At the critical point, x=1600

$C''(1600)=\dfrac{5120000}{1600^3}=0.00125$

The result, C''(1600) is positive, which means that the average cost is Concave up at the critical point, and the critical point is a minimum.

3 0

3 years ago

Simplify this expression 4x^2y^3 x 2x^3y^4

sp2606 [1]

Answer:

8 x^5 y^7

Step-by-step explanation:

Simplify the following:

4×2 x^2 y^3 x^3 y^4

Hint: | Combine products of like terms.

4 x^2 y^3×2 x^3 y^4 = 4 x^(2 + 3) y^(3 + 4)×2:

4×2 x^(2 + 3) y^(3 + 4)

Hint: | Evaluate 3 + 4.

3 + 4 = 7:

4×2 x^(2 + 3) y^7

Hint: | Evaluate 2 + 3.

2 + 3 = 5:

4×2 x^5 y^7

Hint: | Multiply 4 and 2 together.

4×2 = 8:

Answer: 8 x^5 y^7

3 0

3 years ago