Answer:
10 pounds of the $1.50 chocolate were used.
30 - x represents the number of pounds of the 0.90 chocolate used.
Step-by-step explanation:
30 * 1.10 = 1.5x + 0.9 (30 - x)
33 = 1.5x + 27 - 0.9x
0.6x = 6
x = 10
Answer:
x=2, y=0
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let x represents the amount money deposited in one account and y represents the amount of money deposited in other account.
Given : Murray’s father deposited $6,000 of his savings into two accounts.
i.e. x+y=6,000 (1)
One account earns 1.5 percent interest, and the other account earns 2.5 percent interest.
We know that Interest = Deposited amount x Interest x Time
Interest earned by account 1 = 0.015x
Interest earned by account 2 =0.025y
At the end the year, the interest in the account that earned 2.5 percent was $110.00 more than the other account.
i.e.Interest earned by account 2 - Interest earned by account 1 = $110.00
i.e. 0.025x-0.015y=110 (2)
From (1) and (2) , the system represents the amounts of money, x and y, that was put into each account :-
Answer:
24 units ²
Step-by-step explanation:
In this problem, we are given the circumference of a triangle (after finding the perimeter) and want to find the area of a circle with that circumference. Since the area of a circle is a function based on its radius, we can use the circumference to find the radius to find the area.
First, we can figure out the perimeter of the triangle, which is equal to the sum of its sides. The perimeter is 6+4+7.21 = 17.21 units.
Next, the circumference of a circle is equal to π * diameter = π * 2 * radius. Using 3.14 for π and r for radius, we get
3.14 * 2 * r = 17.21
6.28 * r = 17.21
divide both sides by 6.28 to isolate r
r ≈ 2.74
Furthermore, to find the area from the radius, we can use
area = πr². Plugging 2.74 in for r, we get
2.74² * 3.14 = area
≈23.6, rounding up to 24 units ²
Answer:
-5<n<2
Step-by-step explanation:
We must satisfy the equation that
n must make the middle number greater than -15 but less than 6.
Solve 3n up to -15.
This means that n can be greater than -5.
This means that n must greater than -5 but less than 2.