What is 8 3/4 - 7 1/2

1 answer:

6 0

let's firstly convert the mixed fractions to improper fractions and then subtract, bearing in mind that the LCD of 4 and 2 is 4.

$\bf \stackrel{mixed}{8\frac{3}{4}}\implies \cfrac{8\cdot 4+3}{8}\implies \stackrel{improper}{\cfrac{35}{4}}~\hfill \stackrel{mixed}{7\frac{1}{2}}\implies \cfrac{7\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{15}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{35}{4}-\cfrac{15}{2}\implies \stackrel{\textit{using the LCD of 4}}{\cfrac{(1)35~~-~~(2)15}{4}}\implies \cfrac{35-30}{4}\implies \cfrac{5}{4}$

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in a round robin tennis tournament involving 7 players, each player will play every other player twice. How many total matches w

baherus [9]

Total number of ways to make a pair:

The first player can be any one of 7 . For each of those . . .
The opponent can be any one of the remaining 6 .

Total ways to make a pair = 7 x 6 = 42 ways .

BUT ... every pair can be made in two ways ... A vs B or B vs A .
So 42 'ways' make only (42/2) = 21 different pairs.

If every pair plays 2 matches, then (21 x 2) = 42 total matches will be played.

Now, is that an elegant solution or what !

8 0

3 years ago

A particle moves along the x-axis so that its velocity in feet per second at time x, in seconds, is modeled by the quadratic fun

Katyanochek1 [597]

For this case we have the following equation:

$y = 2x ^ 2 - 10x + 12$

Where, we have the following variables:

x: time in seconds

y: speed in feet per seconds

For the initial velocity, we evaluate x = 0 in the given equation:

$y = 2 (0) ^ 2 - 10 (0) + 12\\y = 12$

Therefore, the initial speed is 12 feet per second.

Answer:

The particle's initially velocity is 12.

6 0

3 years ago

Please help ASAP!!!!!!!!!!!

Effectus [21]

Answer:

x = 3.76 ft

Step-by-step explanation:

To find the missing side, "x", solve using proportions.

In similar polygons, the 'new' polygon was created by multiplying every side of the 'old' polygon by the same number. Every side was multiply by the scale factor, "k", which tells you how much a polygon grew (k>1) or shrunk (0<k<1).

Therefore, if you divided the pairs of corresponding sides, they would be equal.

From the diagram, you can tell that the following sides correspond:

CB ~ GF

AB ~ EF

Use the proportion

$\frac{EF}{AB} = \frac{GF}{CB}$