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4 years ago

Given the sequence 2, 5, 8, 11, 14, ..., which term is 59? (Hint: find n.)

1 answer:

8 0

N = 3 ( the next number is 3 plus the previous number
sequence formula = an = 3(n-1) +2

so for term the term that =59

59 = 3(n-1) +2

distribute:
59 = 3n -3+2

59 = 3n -1

60 = 3n
n = 60/3
n = 20

59 is the 20th term

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A fruit stand sells apples, peaches and tomatoes. Today, they sold 4 apples for every 5 peaches. They sold 2 peaches for every 3

Brrunno [24]

Answer:

He sold 32 apples, 40 peaches and 60 apples.

Step-by-step explanation:

We are given that

4 apples are sold every 5 peaches and

3 tomatoes are sold every 2 peaches.

i.e. the ratio is apples: peaches = 4 : 5 ...... (1)

and the ratio peaches: tomatoes = 2 : 3 ...... (2)

Peaches are the common link here in both the ratio terms.

Let us make the peaches value in both the <em>ratio as 10 </em>to make it equal in both the ratio terms.

Multiply (1) by 2 and (2) by 5:

The ratio becomes;

apples:peaches = 8:10

peaches: tomatoes = 10:15

In other words, the ratio becomes:

apples:peaches:tomatoes = 8:10:15

Let the number of apples = $8x$

Let the number of peaches = $10x\\$

Let the number of tomatoes = $15x$

We are given that total fruits are = 132

$\Rightarrow 8x+10x+15x = 132\\\Rightarrow 33x = 132\\\Rightarrow x =4\\$

So, number of apples sold = $8 \times 4 = 32$

Number of peaches sold = $10 \times 4 = 40$

Number of tomatoes sold = $15 \times 4 = 60$

7 0

3 years ago

Use A as the subject of formula<br>p= A ( 1+r\100)

ZanzabumX [31]

Answer:

$A = \frac{100 P}{100+r}$

Step-by-step explanation:

Given $P = A( 1 + \frac{r}{100} )$

To make A as the subject of the formula we need to rearrange

Divide by $(1 +\frac{r}{100})$ throughout we get

$\frac{P}{1+\frac{r}{100}} = A$

$A = \frac{100P}{100 + r}$

4 0

4 years ago

Bernie, in a very early session of a counseling group, expresses emotions ranging from fear to anxiety, uncertainty to hope. Lo

dalvyx [7]

Answer:

Trust

Step-by-step explanation:

The perceived level of trust is how much trust a person has in another one (in this case Bernie's trust in his therapist).

I hope you find this information useful and interesting! Good luck!

6 0

3 years ago

Im stuck on this one

azamat

What????????????????????????????

5 0

3 years ago

Write an equivalent equation that does not contain parentheses for 3(k-x) = -3x-9

amm1812

3(k-x)= -3x-9
3k - 3x = -3x - 9 ← equation without parentheses
3k - 3x + 3x = - 9
3k = -9
k = -9/3
k = -3 ← simplest form

8 0

4 years ago