Assume Keesha has d dimes, so she has d + 10 quarters
Total money Keesha has is (d+10)*.25 + d*.1 = 11.25
or 0.35d + 2.5 = 11.25
Solving for d , d = 25
So Keesha has 25 dimes and 35 quarters, total of 60 coins
Answer:
6/5 < x < 10/3 is the desired solution.
Step-by-step explanation:
Here, the given compound inequality is :
x + 1 < -2 x + 11 < 3 x + 5
Now, consider the first two term of the inequality, we get:
x + 1 < -2 x + 11
Subtracting 1 from both sides, we get:
x + 1 - 1 < -2 x + 11 - 1
or, x < -2x + 10
or, x + 2x < 10
or, 3 x < 10
or, x < 10/3
Similarly, considering the last two terms of the given inequality, we get:
-2 x + 11 < 3 x + 5
Subtracting 11 from both sides, we get:
-2 x + 11 - 11 < 3 x + 5 - 11
or, - 2 x < 3 x-6
or, 6 < 5 x
or, x > 6/5
Hence, combining two solutions, we get: 6/5 < x < 10/3
So, the desired value of x should be more than (6/5) but less than (10/3)
(7 + 10) / 5 would be the expression
For this case we are going to define the following variables:
x: number of cups of sugar
y: number if apples
We then have the following relationship:
For 4 apples we have:
From here, we clear the value of x.
We have then:
Answer: you need 1/2 cups of sugar if you have 4 apples
Answer:
623.61 cm³
Step-by-step explanation:
Given:
Radius of sphere (r) = 5.3 cm
Required:
Closest volume of the ball
SOLUTION:
Volume of a sphere = ⁴/3πr³
Radius (r) = 5.3 cm
Plug in the value of r
Volume = ⁴/3*π*5.3³
Volume = ⁴/3*π*148.877
Volume = 623.61 cm³
623.61 cm³ is closest to the volume of the ball.
