Since he sells 5 large cards for every 2 small, we can multiply the number of small cards he needs to sell by 2.5 to find how many large cards he needs to sell.
So let x=the number of small cards sold, and 2.5x=the number of large cards sold
The equation is:Total profit=x+(2.5x)
Since a small card is $2.5, a large card is $4, and the total profit will be $10,000 plug those in to make the equation:
10,000=2.5x+4(2.5x)
We can combine the x's to get 10,000=12.5x and then divide both sides by 12.5 to get x=800.
So he needs to sell 800 small cards.
Multiply that by that 2.5.
And he needs to sell 2000 large cards.
Answer:
Mizuki here to help!
8 minutes longer will be the correct answer!
Step-by-step explanation:
First, let's find out how many minutes Gabriella played:
3:32 - 2:49 = 2:92 - 2:49 = 0:43
Check:
2:49 + 0:43 = 2:92 = 3:32
It's correct so...
43 - 35 = 8
Hope this helped!
9514 1404 393
Answer:
a. x, x+2, x+4
b. 10 ≤ 3x+6 ≤ 24
c. 6 ft, 8 ft, or 10 ft
Step-by-step explanation:
<u>Given</u>:
- The lengths of the sides of a certain triangle, in feet, are consecutive even integers.
- The perimeter of this triangle is between 10 feet and 24 feet inclusive.
<u>Find</u>:
a. Using one variable, write three expressions that represent the lengths of the three sides of the triangle.
b. Write a compound inequality to model this problem.
c. Solve the inequality. List all possible lengths for the longest side of the triangle.
<u>Solution</u>:
You have let x represent the shortest side. (Note that the question asks for the length of the longest side.)
a. The expressions for side lengths can be x, x+2, x+4 when x is the shortest side.
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b. Here is the compound inequality
10 ≤ x+(x+2)+(x+4) ≤ 24
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c. Here is the solution
10 ≤ 3x+6 ≤ 24 . . . . collect terms
4 ≤ 3x ≤ 18 . . . . . . . subtract 6
4/3 ≤ x ≤ 6 . . . . . . . . divide by 3
<em>Your working is correct, but incomplete</em>. The values of interest are the even integers x+4.
5 1/3 ≤ x+4 ≤ 10
The longest side may be 6 ft, 8 ft, or 10 ft.
well, first off, let's notice that we have a trapezoid with a rectangle inside it, so the rectangle is really "using up" area that the trapezoid already has.
now, if we just get the area of the trapezoid, and then the area of the rectangle alone, and then subtract that area of the rectangle, the rectangle will in effect be making a hole inside the trapezoid's area, and what's leftover, is the shaded section, that part the hole is not touching.
Answer:
y=-3/4x + 0.25
Step-by-step explanation:
