Need help finding x when Circle G and Circle U are similar.

40 pounds of cashews costing $9.20 per pound were mixed with 100 1b of peanuts costing $3.32 per pound. Find the cost of the res

TEA [102]

It cost 12.52 cents all together

7 0

4 years ago

Determine whether the given sequence could be geometric, arithmetic, or neither. if possible, identify either the common ratio o

REY [17]

ARITHMETIC CHECK: A sequence is said to be arithmetic if any two consecutive terms differ by the same constant.

So, the test to check if a series is arithmetic is to compute consecutive differences, and see if they all return the same number.

If we subtract the first two terms, we have $2-4 = -2$ . If we subtract the third and second terms, we have $1-2 = -1$ .

These two differences returned two different values, so the series is not arithmetic.

GEOMETRIC CHECK: A sequence is said to be geometric if any two consecutive terms are in the same ratio.

So, the test to check if a series is geometric is to compute consecutive ratios, and see if they all return the same number.

If we divide the first two terms, we have

$\dfrac{2}{4} = \dfrac{1}{2}$

If we divide the third and second terms, we have

$\dfrac{1}{2} = \dfrac{1}{2}$

Finally, if we divide the last two terms we have

$\dfrac{\frac{1}{2}}{1} = \dfrac{1}{2}$

So, all ratios return the same number. This means that the series is geometric, and the common ratio is 1/2

7 0

4 years ago

Tickets to the school play are $5.00 for adults and $3.50 for students. If the total value of all the tickets sold was $2517.50

Irina-Kira [14]

$x-\ adults\\
y-\ students\\\\ \left \{ {{5x+3.50y=2517.5} \atop {x+100=y}} \right.\\\\
5x+3.5(x+100)=2517.5\\\\
5x+3.5x+350=2517.5\ \ \ | subtract\ 350\\\\
8.5x= 2167,5\ \ \ | divide\ by\ 8.5\\\\
x=255\\\\
y=355\\\\
There\ were\ 355\ student\ tickets\ and\ 255\ adult\ tickets.$