Answer:
The correct answer is 10 units.
Step-by-step explanation:
Profit function of a small business is given by P(x) = 0.3 + 7x - 40, where x is the number of units sold.
The small business intend to make a profit of $60.
To find out the number of units the business has to sell in order to have a profit of $60 is given by,
P(x) = 0.3 + 7x - 40 = 60
⇒ 0.3 + 7x - 100 = 0
⇒ 3 + 70x - 1000 = 0
⇒ x = -70 ± ×
⇒ x = -70 ± 130 ×
⇒ x = 10 or -
Quantity sold cannot be negative giving us the value of x as 10 units.
Answer:
x=
295
−15≈2.175564037
x=−
295
−15≈−32.175564037
Step-by-step explanation:
On a number line, 23 is above 22, and 21 below 22.
Given:
The expression is
To find:
The expression as a multiple of a sum of two numbers with no common factor.
Solution:
We have,
It can be written as
Using distributive property taking out the common factors.
Therefore, the required expression is .
So we are starting out with 30 messages.
If 1/5 of the messages Lily receives are picture messages, then take 1/5 x 30 to find out how many that is.
1/5 x 30 = 30/5 = 6. So Lily receives 6 picture messages.
If 7/8 of the remaining messages are texts, then we need to find the number of remaining messages. If 6 are pictures and she receives 30 overall, then 30 - 6 = 24, the remaining number of messages. Since we know 7/8 of <em>this </em>number is the number of texts Lily received, let's do some more multiplication:
7/8 x 24 = (7 x 24)/8 = 168/8 = 21.
So Lily received 21 text messages, 6 picture messages, and 3 of something else!