All categories

3 years ago

2. 35 45 n; 10, 11, 12

Mathematics

1 answer:

eduard3 years ago

4 0

35 = 45 - n
think of it as money
45 dollars take away how many (n) = 35 dollars
45 - n =35
or you can subtract 45 from both sides
-n = 35-45
-n = -10
divide by -1 from both sides
n = 10

You might be interested in

Find an explicit rule for the nth term of the sequence.The second and fifth terms of a geometric sequence are 18 and 144, respec

vova2212 [387]

Given:

second term = 18

fifth term = 144

The nth term of a geometric sequence is:

$\begin{gathered} a_n\text{ = ar}^{n-1} \\ Where\text{ a is the first term} \\ r\text{ is the common ratio} \end{gathered}$

Hence, we have:

$\begin{gathered} \text{ar}^{2-1}\text{ = 18} \\ ar\text{ = 18} \\ \\ ar^{5-1}=\text{ 144} \\ ar^4\text{ =144} \end{gathered}$

Divide the expression for the fifth term by the expression for the second term:

$\begin{gathered} \frac{ar^4}{ar}\text{ = }\frac{144}{18} \\ r^3\text{ = }\frac{144}{18} \\ r\text{ = 2} \end{gathered}$

Substituting the value of r into any of the expression:

$\begin{gathered} ar\text{ = 18} \\ a\text{ }\times\text{ 2 = 18} \\ Divide\text{ both sides by 2} \\ \frac{2a}{2}\text{ =}\frac{18}{2} \\ a\text{ = 9} \end{gathered}$

Hence, the explicit rule for the sequence is:

$a_n\text{ = 9\lparen2\rparen}^{n-1}$

5 0

1 year ago

The employee who created the chart made an error when computing the number of pounds of meat for one of the serving sizes .for w

lozanna [386]

Answer: b. 50

Step-by-step explanation:

Hence the employee made an error for 50 serving size.

4 0

3 years ago

What would be the order?

Oduvanchick [21]

Answer:

<em>17/2, 8.8 with bar on right 8, |-9|, sqrt(82)</em>

Step-by-step explanation:

sqrt(82) = 9.05538...

17/2 = 8.5

8.8 with bar on right 8 = 8.8888888...

|-9| = 9

In order from least to greatest: 17/2, 8.8 with bar on right 8, |-9|, sqrt(82)

3 0

3 years ago

Can someone help me answer these two questions please.

mr_godi [17]

Answer:

The first one is a the second one is b

Step-by-step explanation:

3 0

2 years ago

What is <br> 2n - 3 = 9 ( solve the equation)

BartSMP [9]

$2n - 3 = 9 \\ 2n = 12 \\ n = 6$

5 0

3 years ago