All categories

3 years ago

What is 25 2/3 - 15 1/3 =

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

7 0

Answer:

10 1/3

Step-by-step explanation:

Convert mixed numbers into improper fractions (whole number × denominator + numerator)

25 2/3 and 15 1/3

25 × 3 + 2 = 75 + 2 = 77

Put the number over the same denominator

77/3

15 × 3 + 1 = 45 + 1 = 46

Put the number over the same denominator

46/3

77/3 - 46/3

They have common denominators so we can simply subtract the numerator values

77 - 46/3

31/3

To convert it back to a whole number, find how many times 3 fits into 31 evenly

It fits 10 times evenly with 1 remainding which looks like:

10 1/3

You might be interested in

You have a coupon for an additional 25% off the price of any sale item at a store. The store has put robotics kit on sale for 15

insens350 [35]

Answer:

25.50 i believe

Step-by-step explanation:

4 0

3 years ago

Does a regular pentagon tessellate and why

mariarad [96]

Answer:

No, a regular pentagon does not tessellate.

In a tessellation, all the angles at a point have to add to 360 degrees, as this means there is no overlap, nor are there gaps. To find the interior angle sum of a pentagon, we use the following formula:

(n-2)*180 (where n is the number of sides)

We plug in the number of sides (5) and get:

Angle sum = (5–2)*180

Angle sum = 3*180

Angle sum = 540

Regular pentagons have equal sides and equal angles, so to find the size of the interior angle of a pentagon, we divide the angle sum by 5 and get 108 degrees for every angle.

As I said before, the angles at a point need to add up to 360, so we need to know if 108 divides evenly into 360. If it does, the shape tessellates, and, if it doesn’t, the shape does not.

360/108 = 3.33333…

This means that a regular pentagon does not tessellate.

Hope this helps!

8 0

3 years ago

The number of transistors per IC in 1972 seems to be about 4,000 (a rough estimate by eye). Using this estimate and Moore's Law,

spayn [35]

Answer:

The prediction for the number of transistor per IC in 1992 is of 4,194,304,000

Step-by-step explanation:

Moore's law:

Moore's law states that the number of transistors per IC doubles every year.

Format of the function:

Following Moore's law, t years after our initial estimative, the number of transistors per IC will be given by:

$N(t) = N(0)*2^t$

In which N(0) is the initial estimate.

The number of transistors per IC in 1972 seems to be about 4,000 (a rough estimate by eye).

This means that $N(0) = 4000$

$N(t) = 4000*2^t$

What would you predict the number of transistors per IC to be 20 years later, in 1992?

This is N(20). So

$N(20) = 4000*2^20 = 4194304000$

The prediction for the number of transistor per IC in 1992 is of 4,194,304,000

4 0

3 years ago

I did 3 over 7 then 8 over x. I'm getting decimals. ‍♀️

julia-pushkina [17]

Answer:

The length of side b is 9.

Step-by-step explanation:

Triangles are similar if they have the same shape, but can be different sizes.

When two figures are similar, the ratios of the lengths of their corresponding sides are equal.

If you know that two objects are similar, you can use proportions and cross products to find the length of an unknown side. We know that the triangle $ABC$ is similar to the triangle $XYZ$ . Therefore the following relation must be true:

$\frac{AB}{AC} =\frac{XY}{XZ}$

We know that side $AB$ is equal to 8, side $AC$ is equal to b, side $XY$ is equal to $2\frac{2}{3}$ , and side $XZ$ is equal to 3.

Substituting these values into the above relation and solving for b we get that:

$\frac{8}{b} =\frac{2\frac{2}{3} }{3}\\\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 2\frac{2}{3}=\frac{8}{3}\\\\\frac{8}{b}=\frac{\frac{8}{3}}{3}\\\\8\cdot \:3=b\frac{8}{3}\\\\24=b\frac{8}{3}\\\\8b=72\\\\b=9$

5 0

3 years ago

Bamboo plants grow rapidly. A bamboo plant is 130 inches tall. Tomorrow it will be 143 inches tall, the next day it will be 156

jasenka [17]

Your choice of answer D is correct.

_____

When the number of days is zero, the height is 130 inches. This eliminates choices B and C. Evaluating the expression for n=13 gives

... 130 + 13×13 = 130 + 169 = 299 . . . . . corresponding to answer D.

3 0

3 years ago