Answer:
x = √12
Step-by-step explanation:
Easy:
3x^2 = 36
Cancel out the 3 so it is only x^2; you can do this by dividing each side by 3 which gives you:
x^2 = 12
Square root the entire thing to get rid of the square and you get the answer
x = √12
Answer:
1) Inequality: 110x>150+85x
2) Solution: x>6, then Nadia would need to sell more than 6 ads per week in order for Choice A to be the better choice,
<u>Solution:</u>
Be x the number of ads Nadia sells
A) Choice A: $110 for each ad she sells. She would earn:
Ea=110x
B) Choice B: A weekly salary of $150, plus $85 for each ad she sells. She would earn:
Eb=150+85x
1) Write an inequality to determine the number of ads Nadia would need to seel per week in order for Choice A to be the better choice:
Ea>Eb
110x>150+85x
2) Solution
Solving for x: Subtracting 85x both sides of the equation:
110x-85x>150+85x-85x
Subtracting:
25x>150
Dividing both sides of the equation by 25:
25x/25>150/25
Dividing:
x>6
We have been given that Sebastian got estimates from 7 companies for his kitchen remodel: $ 27,500 ; $31,000 ; $36,000 ; $92,000; $29,000 ; $30,500 ; $28,500. We are asked to find the best measure of center for the given data.
We can see that our given data set has a large valued data point that is $92,000.
We know that mean is very much affected by large valued outliers. The data point $92,000 will increase the mean. Therefore, mean is not a best measure of center for given data.
We know that median is very less affected by outliers, therefore, median will be best measure of center for the given data.
Let x be the number of new laptops and y be the number of tablets that the company should buy. The equations that best show the given conditions are as follows,
x + y = 30
515x + 285y = 11080
Solving simultaneously for the values of x and y gives an answer of x = 11 and y = 19.
Thus, the business should buy 11 laptops and 19 tablets.
Find the total ° of the shape.
(5-2) x 180°= 540°
x+21°+x = 540°-105°-154°-88°
2x+21° = 193°
2x = 193°-21°
2x = 172°
x = 172° ÷ 2
x = 86°
