Given:
Budget = $30
cost of pizza = $9
cost of drinks = $1
number of pizza = p
number of drinks = d
pizza and drinks should only be equal to or less than the budget of $30.
$9p + $1d <u>< </u>$30
unit cost of pizza : 9
unit cost of drinks : 1
total cost of set (p & d) 10
pizza = 9/10 x 30 = 27 total cost of pizza
drinks =1/10 x 30 = 3 total cost of drinks
27 ÷ 9 = 3 number of pizzas to order
3 ÷ 1 = 3 number of drinks to order
To check:
9p + 1d <u>< </u>30
9(3) + 1(3) <u>< </u>30
27 + 3 <u>< </u>30
30 <u>< </u>30
<span>26 black cards of out 52
probability that a black card is chosen first = 26/52 = 1/2
</span>there are 13 heart
with replaced
The probability of then drawing a heart is 13/52 = 1/4 then
<span>the probability that a black card is chosen first and a heart is chosen second
= </span>(1/2)(1/4) = 1/8
answer
1/8
The square has a side length of 9.
The area of the full square would be 9^2 = 9 x 9 = 81 square cm.
The area of the triangle is 1/2 x 4 x 3 = 6 square cm.
The area of the shape = 81 -6 = 75 square cm.
Answer:
The simplified expression is:
Step-by-step explanation:
We want to simplify:
We factor the numerator and the denominator to get:
Cancel out u-2 which is common to the numerator and the denominator yo get: