<span>The <u>correct answer</u> is:
$31.40.
Explanation<span>:
Since 6 oranges cost $3.00, we can divide to find the cost of one orange:
3.00/6 = $0.50. Each orange costs $0.50.
If ten oranges are bought, this would cost 10(0.50)=$5.00.
Each grapefruit costs $2.40; 11 of them would cost 11(2.40) = 26.40.
Together the total cost is $5+$26.40 = $31.40.</span></span>
Answer: Four-thirdsπ(6)³
Step-by-step explanation: The formula for the volume of a sphere is attached in the image down below.
Notice that two of the options listed have <em>three-fourths</em> but we use <em>four-thirds </em>to find the volume of a sphere. This means that we can eliminate the 1st and the 3rd option.
Now, we will multiply that by π and then by the radius cubed which is also written as 6³. This means that our answer would be the second option.
Answer:

Step-by-step explanation:
Let's set up a proportion using the following setup.

We know 30 buses can carry 1,500 people.

We don't know how many people 5 buses can carry, so we say 5 buses carry x people.


Cross multiply. Multiply the numerator of the first fraction by the second fraction's denominator. Then, multiply the first denominator by the second numerator.

Solve for x. It is being multiplied by 30. The inverse of multiplication is division. Divide both sides by 30.

5 buses can carry 250 people.
Answer:
n = 59
Step-by-step explanation:
The given equation of n is
and we have to solve it for n.
........... (1)
⇒
{Rationalizing the numerator}
⇒
.............. (2)
Now, adding (1) and (2) we get
⇒ n + 5 = 64 {Squaring both sides}
⇒ n = 59 (Answer)
Answer:
Please check the explanation.
Step-by-step explanation:
The midpoint (a, b) of line joining points (x₁, y₁) and (x₂, y₂)
a = x₁ + x₂ / 2
b = y₁ + y₂ / 2
Given that the midpoint of AB is (4, -3).
i.e. (a, b) = (4, -3)
Given that A has coordinate (1, 5).
i.e. (x₁, y₁) = (1, 5)
We have to determine the coordinates of B.
i.e. (x₂, y₂) = B
Thus,
4 = (1 + x₂)/2
(1 + x₂) = 4 × 2
1 + x₂ = 8
x₂ = 7
and
-3 = (5 + y₂)/2
(5 + y₂) = -3 × 2
5 + y₂ = -6
y₂ = -11
so (x₂, y₂) = (7, -3) = B
Thus, the coordinates of B = (x₂, y₂) = (7, -3)
Therefore,
x₂ + y₂ = 7 + (-3)
= 7 - 3
= 4
Hence, the value of x₂ + y₂ = 4