Answer:
23 children and 9 adults
p <= 70/9
Step-by-step explanation:
Let x = # of adults and y = # of children. The number of children is 5 more than twice the number of adults, so x = 2y + 5. The total cost of entrance is $6525, so 225x + 150y = 6525.
x = 2y + 5
225x + 150y = 6525
x - 2y = 5
225x + 150y = 6525
75x - 150y = 375
225x + 150y = 6525
300x = 6900
x = 23
x = 2y + 5
23 = 2y + 5
18 = 2y
y = 9
225p + 3750 <= 5500
225p <= 1750
p <= 70/9
Solutions
<span>To solve the problem our first step is to find the prime factorization of each number. </span>
4 = 2²
<span>5 = 5 </span>
<span>6 = 2 x 3
</span>
Calculations
<span>LCM = 2² x 3 x 5 = 60 </span>
Answer:
The measure of the larger is .
Step-by-step explanation:
Given:
The measure of an angle is degrees less than three times the measure of another angle.
The two angles are supplementary.
To find: The measure of the larger angle.
Solution:
Let the measure of the smaller angle be .
Then the measure of the larger angle be .
The two angles are supplementary, so their sum is .
So,
So, the measure of the smaller angle is .
And, the measure of the larger angle is .
Hence, the measure of the larger is .
Answer:
-4
Step-by-step explanation:
PEMDAS
= 4
-36 /4 = -9
-9+5 = -4
Answer:
110 paper plates
Step-by-step explanation:
Given values:
1 Pack of paper cups (50) = 1.89
1 pack of paper plates (10) = 0.49
Anton has 15.00 to spend
If Anton were to buy 250 paper cups, that would cost him 5 packs since each pack is 50 cups. 5 packs would cost him 1.89 x 5 or 9.45. He now has 5.55 left to spend on paper plates.
Each pack of paper plates is 0.49. To find how many packs he can buy with the remaining amount of money, divide the money buy the cost.
5.55/0.49 ≈ 11.32
Since you can't buy .32 packs, Anton can buy 11 packs, or 110 paper plates.