Answer:
y = 8x
Step-by-step explanation:
When the number of people increased by 10, the caterer charged an additional $80. Therefore, we estimate that the cost per person is $8. In order to verify:
$8/person * 15 people = $120. True. $8/person * 25 people = $200. True.
Therefore, if we let x represent the number of people being cater for and y represent the cost, the equation to model the situation is simply y = 8x.
hope it helps!
Answer: the store paid $18.3 for the sweater
Step-by-step explanation:
Let x represent the amount that the store paid for the sweater.
A store marks up the price of a sweater by $7.35. This means that the new or current price of the sweater at the store would be
7.35 + x
The total cost of the sweater is 25.65. Therefore, an equation to represent the problem would be
7.35 + x = 25.65
Subtracting 7.35 from the left hand side and the right hand side of the equation, it becomes
7.35 + x - 7.35 = 25.65 - 7.35
x = $18.3
Answer:
B
Step-by-step explanation:
We can use the Pythagorean theorem to solve this.
(13)^2 = (8)^2+x^2
169 = 64 + x^2
x^2 = 105
x is approximately 10.2, so B
A set of data has a normal distribution with a mean of 5.1 and a standard deviation of 0.9. Find the percent of data between 4.2 and 5.1.
Answer: The correct option is B) about 34%
Proof:
We have to find 
To find
, we need to use z score formula:
When x = 4.2, we have:


When x = 5.1, we have:


Therefore, we have to find 
Using the standard normal table, we have:
= 

or 34.13%
= 34% approximately
Therefore, the percent of data between 4.2 and 5.1 is about 34%
Answer:
2688x^2 + 3640x + 1225
Step-by-step explanation:
multiply the expression