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2 years ago

1 1/4 x 3/4 as a fraction

Mathematics

2 answers:

Vilka [71]2 years ago

5 0

Answer:

2 and 1/16th! ^^

Step-by-step explanation:

nlexa [21]2 years ago

5 0

Answer:15/16

Step-by-step explanation:

1 1/4×3?4

= 5/4×3/4

= 5 × 3/4 × 4

= 15/16

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A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 700 cubic centimeters of soup. The

Korvikt [17]

Answer:

r = 3.43 cm

h=18.94 cm

Step-by-step explanation:

The volume of the cylinder is:

$V=\pi r^{2}h=700cm^{3}$

where r is the radius of the circular base and h is the height of the cylinder.

The cost of the side of the cylinder is:

$(0.02)2\pi rh$

The cost ot the bottom of the container is:

$(0.02)\pi r^{2}$

The cost ot the top of the container is:

$(0.09)\pi r^{2}$

Then, the total cost of the container is:

$C=(0.02)2\pi rh+(0.02)\pi r^{2}+(0.09)\pi r^{2} \\C=\pi r(0.04h+0.02r+0.09r)\\C=\pi r(0.04h+0.11r)$

From the volume, you could solve for one variable and substituting in the cost equation:

$h=\frac{700}{\pi r^{2}}\\C=\pi r(0.04(\frac{700}{\pi r^{2}})+0.11r)$

In order to minimize this fuction you need to calculate the derivative respect to r:

$\frac{dC}{dr} =\frac{dC}{dr}[\frac{28}{r}+0.11\pi r^{2}]\\\frac{dC}{dr} =-\frac{28}{r^{2} }+0.22\pi r$

The critical points of the function are obtained when dC/dr=0:

$-\frac{28}{r^{2}}+0.22\pi r=0\\0.22\pi r=\frac{28}{r^{2} }\\r^{3}= \frac{28}{0.22\pi } \\r=3.43 cm$

To evaluate if this critical point is a minimum, you should get the second derivative:

$\frac{d^{2} C}{dr^{2} } =\frac{28}{r^{3} }+0.22\pi \\$

For the critical point r = 3.43 cm, the second derivative is positive, which means that the critical point is a minimum.

Then, the dimensions for the package tht will minimize product cost are:

r = 3.43 cm

$h=\frac{700}{\pi r^{2} } =18.94cm$

8 0

3 years ago

I need part b do I divide by 6 or multiple by 6

Shalnov [3]

Answer:

You need to multiply by 6. Hint it say's it costs $6 per square meter that means times

Step-by-step explanation:

6 0

4 years ago

Case study

stepladder [879]

Given:

The data set is

21, 16, 30, 15, 16, 18, 10, 24, 26, 20, 19, 24, 24, 25, 23

10, 15, 16, 16, 18, 19, 20, 21, 23, 24, 24, 24, 25, 26, 30

To find:

The range, average and median for the given data set.

Solution:

Arrange the data set in ascending order.

10, 15, 16, 16, 18, 19, 20, 21, 23, 24, 24, 24, 25, 26, 30

(1)

Range = Maximum value - Minimum value

= 30 - 10

= 20

Therefore, the range of the given data set is 20. All the options are incorrect.

(2)

$Average=\dfrac{\text{Sum of all observations}}{\text{Number of observations}}$

$Average=\dfrac{311}{15}$

$Average\approx 20.73$

Therefore, the average score is about 20.73. All the options are incorrect.

(3)

Number of observations = 15, which is odd.

$Median=\dfrac{n+1}{2}\text{th term}$

$Median=\dfrac{15+1}{2}\text{th term}$

$Median=\dfrac{16}{2}\text{th term}$

$Median=8\text{th term}$

In the arranged data set 8th term is 21.

$Median=21$

Therefore, the correct option is b.

7 0

3 years ago

The following data represents the serum HDL cholesterol level for a random sample of 40 male 20- to 29-year old patients. 70 56

Afina-wow [57]

This is too much good luck finding the answer

3 0

3 years ago

Help. As usual i suck at math.

Blababa [14]

Answer:

(4,6) is the solution.

Step-by-step explanation:

Given $4x + y = 10$

Let the solution be $(a,-6)$ .

The solution to this line means it should satisfy the equation. Therefore, substituting this we get,

$4(a) - 6 = 10$

$\implies 4a = 16$

Dividing by 4 throughout we get,

$a = 4$

Therefore, the solution is: (4,6)

6 0

3 years ago