It will take 83 1/3 tiles to fill the wall.

Let x be the entire wall:
3/5x = 50

Divide both sides by 3/5:
x = 50 ÷ 3/5
x = 50/1 ÷ 3/5
x = 50/1 × 5/3
x = 250/3 = 83 1/3

3 0

3 years ago

Mike makes and sells skateboards. If he has a cost of $6,200 per year plus a cost of $15 per skateboard, how many skateboards mu

Roman55 [17]

Answer: 310

Step-by-step explanation:

35-15= 20

6200 / 20 = 310

3 0

2 years ago

If 2k, 5k-1 and 6k+2 are the first 3 terms of an arithmetic sequence, find k and the 8th term.

Simora [160]

Consecutive terms in an arithmetic sequence differ by a constant $d$ . So

$5k-1=2k+d$
$6k+2=5k-1+d$
$\implies\begin{cases}3k-d=1\\k-d=-3\end{cases}\implies k=2,d=5$

Denote the $n$ -th term in the sequence by $a_n$ . Now that $a_1=2$ , we have

$a_n=a_{n-1}+5=a_{n-2}+2\cdot5=\cdots=a_1+(n-1)\cdot5$

which means

$a_8=2+(8-1)\cdot5=37$

4 0

3 years ago