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3 years ago

Determine the number of solution for a) x > 9b) x + 1/2 = 5/6

Mathematics

1 answer:

aniked [119]3 years ago

8 0

Answer:

Step-by-step explanation:

x>9 - 6/9 = 5 lol

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Tommy is mounting a new television up in his living room, and the area of the television is 255 cm squares. What is the total di

solong [7]

Answer:

63.75

Step-by-step explanation:

255 divided by 4

7 0

2 years ago

A farmer is comparing the number of eggs laid by two hens. The first hen laid 7 eggs per week for x weeks. The second hen laid 8

nikitadnepr [17]

Answer:

7x ≥ 8y

Step-by-step explanation:

The first hen laid 7 eggs per week for x weeks. 7x

The second hen laid 8 eggs per week for y weeks. 8y

The total number of eggs laid by the first hen was at least the total number of eggs laid by the second hen.

7x ≥ 8y

7 0

3 years ago

A teacher places n seats to form the back row of a classroom layout. Each successive row contains two fewer seats than the prece

Alex_Xolod [135]

Answer:

The number of seat when n is odd $S_n=\frac{n^2+2n+1}{4}$

The number of seat when n is even $S_n=\frac{n^2+2n}{4}$

Step-by-step explanation:

Given that, each successive row contains two fewer seats than the preceding row.

Formula:

The sum n terms of an A.P series is

$S_n=\frac{n}{2}[2a+(n-1)d]$

$=\frac{n}{2}[a+l]$

a = first term of the series.

d= common difference.

n= number of term

l= last term

$n^{th}$ term of a A.P series is

$T_n=a+(n-1)d$

n is odd:

n,n-2,n-4,........,5,3,1

Or we can write 1,3,5,.....,n-4,n-2,n

Here a= 1 and d = second term- first term = 3-1=2

Let $t^{th}$ of the series is n.

$T_n=a+(n-1)d$

Here $T_n=n$ , n=t, a=1 and d=2

$n=1+(t-1)2$

⇒(t-1)2=n-1

$\Rightarrow t-1=\frac{n-1}{2}$

$\Rightarrow t = \frac{n-1}{2}+1$

$\Rightarrow t = \frac{n-1+2}{2}$

$\Rightarrow t = \frac{n+1}{2}$

Last term l= n,, the number of term $=\frac{ n+1}2$ , First term = 1

Total number of seat

$S_n=\frac{\frac{n+1}{2}}{2}[1+n}]$

$=\frac{{n+1}}{4}[1+n}]$

$=\frac{(1+n)^2}{4}$

$=\frac{n^2+2n+1}{4}$

n is even:

n,n-2,n-4,.......,4,2

Or we can write

2,4,.......,n-4,n-2,n

Here a= 2 and d = second term- first term = 4-2=2

Let $t^{th}$ of the series is n.

$T_n=a+(n-1)d$

Here $T_n=n$ , n=t, a=2 and d=2

$n=2+(t-1)2$

⇒(t-1)2=n-2

$\Rightarrow t-1=\frac{n-2}{2}$

$\Rightarrow t = \frac{n-2}{2}+1$

$\Rightarrow t = \frac{n-2+2}{2}$

$\Rightarrow t = \frac{n}{2}$

Last term l= n, the number of term $=\frac n2$ , First term = 2

Total number of seat

$S_n=\frac{\frac{n}{2}}{2}[2+n}]$

$=\frac{{n}}{4}[2+n}]$

$=\frac{n(2+n)}{4}$

$=\frac{n^2+2n}{4}$

4 0

3 years ago

Dunkin Donuts makes its doughnuts for $2.00 each. DD wnats a 50% markup on the

vesna_86 [32]

Answer:
Cost of each donut should be $3.00

Step-by-step explanation:

please tell me if I am wrong. 2.00 x 0.5 is 1. 2 + 1 is 3.

8 0

2 years ago

Read 2 more answers

Simplify the product using the Distributive Property.

Dmitrij [34]

The answer is 15h² + 26h - 21

<span>(5h – 3)(3h + 7) = 5h * 3h + 5h * 7 - 3 * 3h - 3 * 7 =
= 15h</span>² + 35h - 9h - 21 =
= 15h² + 26h - 21

6 0

3 years ago

Determine the number of solution for a) x > 9b) x + 1/2 = 5/6​

Determine the number of solution for a) x > 9b) x + 1/2 = 5/6