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2 years ago

Eight less than four times a number is less than 56. What are the possible values of that number

Mathematics

2 answers:

yan [13]2 years ago

4 0

Let unknown number be x.

Given,

4x - 8 < 56

4x < 64

x < 16

Hence, x is any value less than 16.

GarryVolchara [31]2 years ago

4 0

Answer:

The possible values of x is less than 16

Step-by-step explanation:

Given that eight less than four times a number is less than 56.

we have to find the possible values of that number.

Let the number be x.

Eight less than 4 times is 4x-8 is less than 56 i.e

$4x - 8 < 56$

Adding 8 on both sides, we get

$4x < 64$

$x < \frac{64}{4}=16$

Hence, x is any value less than 16.

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18. Manufacturers often package products in a way that uses the least amount of material One measure of the efficiency of a pack

Lemur [1.5K]

Answer:

a. $E=\frac{2h+2r}{rh}$

E of first can = $E=\frac{2h+2r}{rh}$

E of second can = $E=\frac{h+2r}{rh}$

c. Yes

Step-by-step explanation:

The efficiency ratio is:

E = Surface Area / Volume

We can write:

$E=\frac{S}{V}$

Where

S is surface area of cylinder

V is volume of cylinder

The formulas are:

S = $2\pi rh+2\pi r^2$

V = $\pi r ^2 h$

So, the <u>efficiency ratio (E) </u>is:

$E=\frac{2\pi rh+2\pi r^2}{\pi r^2 h}\\E=\frac{\pi r(2h+2r)}{\pi r(rh)}\\E=\frac{2h+2r}{rh}$

The first can has radius "r" and height "h", so the efficiency ratio is:

$E=\frac{S}{V}\\E=\frac{2\pi rh+2\pi r^2}{\pi r^2 h}\\E=\frac{\pi r(2h+2r)}{\pi r(rh)}\\E=\frac{2h+2r}{rh}$

The second can has same height, "h", and twice radius, "2r", so the efficiency ratio becomes:

$E=\frac{S}{V}\\E=\frac{2\pi (2r)h+2\pi (2r)^2}{\pi (2r)^2 h}\\E=\frac{4\pi rh +8\pi r^2}{4\pi r^2h}\\E=\frac{4\pi r(h+2r)}{4\pi r(rh)}\\E=\frac{h+2r}{rh}$

We now need to say if the company made a good decision or not.

If you look at both the Efficiency ratios above, you will see that the difference is in the numerator.

The first can has "2h"

The second can has "h"

The "2h" makes the numerator for the first can BIGGER than the "h" of the second can, so the Efficiency ratio of first can is thus, BIGGER.

We need smaller ratio.

So, 2nd can has indeed smaller ratio, so the company made a good decision.

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2 years ago

the utilities bill for the millers' home in April was $132 fourty two percent of the bills was for gas and the rest was electric

s2008m [1.1K]

The bill was $132

42% was for gas.

Multiply the total bill by 42% ( 0.42) to find the amount spent on gas:

132 x 0.42 = $55.44 was spent on gas.

Now subtract that amount from the total to find how much was spent on electricity:

132 - 55.44 = $76.56 was spent on electricity.

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2 years ago

A gardener uses a tray of 6 conical pots to plant seeds. Each conical pot has a radius of 3 centimeters and a depth of 8 centime

olga_2 [115]

I think 452cm^3
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2 years ago

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Aleks04 [339]

Answer:

x can take any value and are viable in this situation if and only if it is a positive number

Step-by-step explanation:

We know that the area of a rectangle is given by:

A = x * y

So if we replace we have:

12 ≤ x * y ≤ 36

We divide by y, and we have:

12 / y ≤ x ≤ 36 / y

Which means that the value of x depends on y, that is to say if y is worth 1, the inequality would be:

12 ≤ x ≤ 36

In the event that y is equal to 2:

12/2 ≤ x ≤ 36/2

6 ≤ x ≤ 18

Which means, that depending on y, x can take any value and are viable in this situation if and only if it is a positive number.

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2 years ago

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tatyana61 [14]

5/6 and 0.833
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2 years ago

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