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2 years ago

0.4x-2.8 -------------- = 1.5 4 x= ?

Mathematics

2 answers:

Sedbober [7]2 years ago

4 0

Answer:

Step-by-step explanation:

0.4x - 2.8 = 1.5

Add 2.8 to both sides

0.4x - 2.8 +2.8 = 1.5 + 2.8

0.4x = 4.3

Divide both sides by 0.4

0.4x/0.4=4.3/0.4

x = 10.75

kondaur [170]2 years ago

3 0

Answer:

4.3

Step-by-step explanation:

what you wanna do is add the 1.5 and the -2.8 together, then devide it by 0.4 four, and thats what X equals.

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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

3 0

2 years ago

What is 1 1/3 times 1 4/9 in fraction form

nikitadnepr [17]

Answer:

52 / 27

Step-by-step explanation:

3 0

2 years ago

Daquan has $500 in a savings account at the beginning of the school year. He wants to keep at least $200 in the account by Decem

Evgen [1.6K]

The answer is 12 weeks

5 0

2 years ago

Read 2 more answers

What is the ratio of x to y?

abruzzese [7]

$\frac{3}{2} = \frac{2x}{2x+y}$

From any proportion, we get another proportion by inverting the extremes (or the means):

$\frac{2x+y}{2} = \frac{2x}{3}$ = k

so we have:

2x=3k
2x+y=2k therefore:
3k+y=2k
y= - k

x= $\frac{3}{2} k$

$\frac{x}{y}$ = - $\frac{3}{2}$

The corect answer is A. -3/2

or:

$\frac{3}{2} = \frac{2x}{2x+y}$

From any proportion, we get another proportion by inverting the extremes and the means:

$\frac{2x+y}{2x} = \frac{2}{3}$

We use a property of proportions:

$\frac{a}{b} = \frac{c}{d}$ where a, d are extremes and b,c are means and the product of the extremes equals the product of the means (a*d=b*c),

so we have

$\frac{a-b}{b} = \frac{c-d}{d}$ or

$\frac{a+b}{b} = \frac{c+d}{d}$ (you can check this also by "the product of the extremes equals the product of the means")

$\frac{2x+y}{2x} = \frac{2}{3}$

$\frac{(2x+y)-2x}{2x} = \frac{2-3}{3}$

$\frac{y}{2x} = \frac{-1}{3}$

3y = - 2x

$\frac{x}{y} = -\frac{3}{2}$

4 0

2 years ago

2/4 times 1/4 = m <br> IN SIMPLEST FORM

rjkz [21]

Answer:

Step-by-step explanation:

2/4 × 1/4 = (2×1)/(4×4) = 2/16 = 1/8

5 0

2 years ago

Read 2 more answers