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3 years ago

Help please also give an explanation

Mathematics

1 answer:

natka813 [3]3 years ago

3 0

Answer:

<h2>The answer is option A</h2>

Step-by-step explanation:

<u>First of all cross multiply</u>

That's

g( wd + f ) = a + bc

<u>Multiply the terms at the left side of the equation</u>

We have

gwd + fg = a + bc

<u>Send fg to the right side of the equation</u>

That's

gwd = a + bc - fg

<u>Divide both sides by dg to make W stand alone</u>

We have the final answer as

Hope this helps you

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According to the 2000 Census the population of Canton was 7,720. Holly Spring's population was 3,200. Canton's population increa

qwelly [4]

Canton: 7,720 and increases at a rate of 80 people per year.
Holly Spring: 3,200 and increases at rate of 120 people per year.

Let x be the number of years.

Canton = 7,720 + 80x
Holly Spring = 3,200 + 120x

7,720 + 80x = 3,200 + 120x
80x - 120x = 3,200 - 7720
-40x = -4520
x = -4520 / -40
x = 113

It would take 113 years before the populations are equal.

7,720 + 80x = 3,200 + 120x
7,720 + 80(113) = 3,200 + 120(113)
7,720 + 9,040 = 3,200 + 13,560
16,760 = 16,760

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3 years ago

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Is 2/3 a solution of the equation?

balandron [24]

No it isn't the solution to this equation is 2/1

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3 years ago

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How many terms are there in the sequence 1, 8, 28, 56, ..., 1 ?

BabaBlast [244]

Answer:

9 terms

Step-by-step explanation:

Given:

1, 8, 28, 56, ..., 1

Required

Determine the number of sequence

To determine the number of sequence, we need to understand how the sequence are generated

The sequence are generated using

$\left[\begin{array}{c}n&&r\end{array}\right] = \frac{n!}{(n-r)!r!}$

Where n = 8 and r = 0,1....8

When r = 0

$\left[\begin{array}{c}8&&0\end{array}\right] = \frac{8!}{(8-0)!0!} = \frac{8!}{8!0!} = 1$

When r = 1

$\left[\begin{array}{c}8&&1\end{array}\right] = \frac{8!}{(8-1)!1!} = \frac{8!}{7!1!} = \frac{8 * 7!}{7! * 1} = \frac{8}{1} = 8$

When r = 2

$\left[\begin{array}{c}8&&2\end{array}\right] = \frac{8!}{(8-2)!2!} = \frac{8!}{6!2!} = \frac{8 * 7 * 6!}{6! * 2 *1} = \frac{8 * 7}{2 *1} =2 8$

When r = 3

$\left[\begin{array}{c}8&&3\end{array}\right] = \frac{8!}{(8-3)!3!} = \frac{8!}{5!3!} = \frac{8 * 7 * 6 * 5!}{5! *3* 2 *1} = \frac{8 * 7 * 6}{3 *2 *1} = 56$

When r = 4

$\left[\begin{array}{c}8&&4\end{array}\right] = \frac{8!}{(8-4)!4!} = \frac{8!}{4!3!} = \frac{8 * 7 * 6 * 5 * 4!}{4! *4*3* 2 *1} = \frac{8 * 7 * 6*5}{4*3 *2 *1} = 70$

When r = 5

$\left[\begin{array}{c}8&&5\end{array}\right] = \frac{8!}{(8-5)!5!} = \frac{8!}{5!3!} = \frac{8 * 7 * 6 * 5!}{5! *3* 2 *1} = \frac{8 * 7 * 6}{3 *2 *1} = 56$

When r = 6

$\left[\begin{array}{c}8&&6\end{array}\right] = \frac{8!}{(8-6)!6!} = \frac{8!}{6!2!} = \frac{8 * 7 * 6!}{6! * 2 *1} = \frac{8 * 7}{2 *1} = 28$

When r = 7

$\left[\begin{array}{c}8&&7\end{array}\right] = \frac{8!}{(8-7)!7!} = \frac{8!}{7!1!} = \frac{8 * 7!}{7! * 1} = \frac{8}{1} = 8$

When r = 8

$\left[\begin{array}{c}8&&8\end{array}\right] = \frac{8!}{(8-8)!8!} = \frac{8!}{8!0!} = 1$

The full sequence is: 1,8,28,56,70,56,28,8,1

And the number of terms is 9

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3 years ago

The contingency table below gives the counts of students by activities and gender. Band Sports Debate Total Male 105 320 7 432 F

Ber [7]

Answer:

599/711

Step-by-step explanation:

Band Sports Debate Total

Male 105 320 7 432

Female 105 160 14 279

Total 210 480 21 711

P(female or plays sports)

We want the probability that they are female or play sports, but we cannot double count the female sports players, so we subtract them

P(female) + P (sports) - (female and sports)

female/total + sports/total - female sports/ total

279/711 + 480/711 - 160/711

599/711

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3 years ago

Solve for x. -2(16 - 4x) - 8 = 6(x + 2)

Amanda [17]

So...

-2(16-4x)-8=6(x+2)            Multiply
-32+8x-8=6x+12                 Add like terms
-40+8x=6x+12                    Subtract 6x from both sides
-40+2x=12                          Add 40 to both sides
2x=52                                 Divide 2 from both sides
x=26                                   Substitute to check
-2(16-4(26))-8=6((26)+2)   Add and multiply in parenthesis
-2(-88)-8=6(28)                  Multiply
176-8=168                         Subtract
168=168

So x=26

I hope this helps! Have a great day!

6 0

3 years ago