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wolverine [178]

2 years ago

14

K divided by 11 is seven

1 answer:

Softa [21]2 years ago

6 0

Step-by-step explanation:

The Mathematical transformation of given word problem can be given as:

$k \div 7 = 11 \\ \\ or \: \\ \\ \frac{k}{7} = 11$

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A worker uses 450 inches of steel wire to make 300 springs of the same size. At this

rusak2 [61]

Answer: 1.5 inches of steel for one spring

Step-by-step explanation:

I divided 450 by 300 which gets you to 1.5 next to check your answer you multiply that by 300 which gets you to 450

6 0

2 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

2 years ago

Ayuda por favor! <br> Lo necesito urgente!!!

expeople1 [14]

Es hora be comer!!!!!

3 0

3 years ago

Form an equation use the letter x for a unknown answer

Nata [24]

Answer:

When you use x its to replace a number

6 0

3 years ago

Read 2 more answers

James uses 1/2 of a cup of sugar in his cookies, and Jade uses 3/4 of a cup of sugar in her cookies. Noel takes the sum of the t

lesya692 [45]

Answer:

5/8 of a cup

Step-by-step explanation:

What you do is you add 1/2 and 3/4 together.

1/2+3/4=5/4.

Noel used half of 5/4 so you would multiply it by 1/2

5/4*1/2=5/8 is your answer.

4 0

2 years ago

Read 2 more answers