Answer:
1
Step-by-step explanation:
Probability = number of fruit type/total number of fruit. Total number of fruit = 5 + 9 + 5 = 19.
The probability of drawing an apple is P(apple) = number of apples/total number of fruit = 5/19.
The probability of drawing a peach is P(peach) = number of peaches/total number of fruit = 9/19
The probability of drawing an apple is P(orange) = number of oranges/total number of fruit = 5/19
The probability of drawing either an apple, peach or orange at the first draw of fruit from the bag is
P(apple or peach or orange) = P(apple) + P(peach) + P(orange)
= 5/19 + 9/19 + 5/19
= (5 + 9 + 5)/19
= 19/19
= 1
First translate the English phrase "Four times the sum of a number and 15 is at least 120" into a mathematical inequality.
"Four times..." means we're multiplying something by 4.
"... the sum of a number and 15..." means we're adding an unknown and 15 and then multiplying the result by 4.
"... is at least 120" means when we substitute the unknown for a value, in order for that value to be in the solution set, it can only be less than or equal to 120.
So, the resulting inequality is 4(x + 15) ≤ 120.
Simplify the inequality.
4(x + 15) ≤ 120
4x + 60 ≤ 120 <-- Using the distributive property
4x ≤ 60 <-- Subtract both sides by 60
x ≤ 15 <-- Divide both sides by 4
Now that we have the inequality in a simplified form, we can easily see that in order to be in the solution set, the variable x can be no bigger than 15.
In interval notation it would look something like this:
[15, ∞)
In set builder notation it would look something like this:
{x | x ∈ R, x ≤ 15}
It is read as "the set of all x, such that x is a member of the real numbers and x is less than or equal to 15".
add all the prices, and get 30. then divide by 11. the answer is 2.7272727% (27%)
Answer:
Using proportions, the pizza parlor should expect 20 breadsticks and 25 calzone orders if there were 100 total orders.
Step-by-step explanation:
Orders:
Salads 3
Pizzas 8
Sides of breadsticks 4
Pepperoni calzones 5
Total orders: 20
Proportion of sides breadsticks=4/20=0.2
Proportion of pepperoni calzones=5/20=0.25
For 100 total orders:
Sides of breadsticks=0.2(100)=20
Pepperoni calzones=0.25(100)=25
since division is separating into equal parts but since there are 15 counters and 8 counters there the same so you can compare them and the final equation would be 15+8/x. let x= the number of kids
