Answer:
The 10th number in the sequence would be 39
Step-by-step explanation:
Each number is four more than the last.
First time: 3
Second time: 3+4=7
Third time: 7+4=11
Fourth time: 11+4=15
Fifth time: 15+4=19
Sixth time: 19+4=23
Seventh time: 23+4=27
Eighth time: 27+4=31
Ninth time: 31+4=35
Tenth time: 35+4=39
Answer:
To make a profit of at least $500 she must sell at least 12 necklaces
Step-by-step explanation:
Joyce rented a booth at a carnival at a cost of $95 to sell handmade beaded necklaces. The cost of making and packaging each beaded necklace was $15. If Joyce sells the beaded necklaces at $35 each then we have to find beaded necklaces she sell to make a profit of at least $500.
The costs side of the equation, we have:
Let no. of necklaces that she sell are x
∴ The cost of making and packaging x beaded necklace is $15x
Total Cost = 95+15x
Now, Joyce sells the beaded necklaces at $35 each. Therefore, selling price will be $35x
To make a profit of at least $500 the equation can be written as


⇒ 
Hence, to make a profit of at least $500 she must sell at least 12 necklaces
Equation: 19-2(3x-1)/5 = x + 2
Solution:
1. Find x
(5) - 2 = (x + 2) - 2
x = 3
2. Plug in X and solve
19-2(3(3)-1)/3
19-2(9-1)/3
19-2(8)/3
19-16/3
<u>3/3 = 1</u>
Here’s a photo on how to do it! If you need help in more problems like this use a website called Symbolab!! It’s really helpful!!