The goal amount of the student groups are given in percentages, which are fractions based on one hundred.
The flutist raised more money than the trumpeters
The difference in the amounts the student raised is $256.5
Reasons:
The amount the school band is raising for the trip = $9,500
Goal of the flutist = To raise 18% of the total amount
Goal of the trumpeters = 85% of the flutist's goal
Required:
The group that raise more money, given that their goals are met
Solution:
Given that the goal of the trumpeters trumpeters is 85% of the goal of the flutist, the flutist raised more money.
Required:
The difference in the amount raised by the students
Solution:
The amount raised by the flutist = 18% of $9,500 = 0.18 × $9,500 = $1,710
Amount the trumpeters raised = 85% of $1,710 = 0.85 × $1,710 = $1,453.5
The difference in the amount raised = $1,710 - $1,453.5 = $256.5
Expanded form of 3( 6 + 7) is 
<h3><u>Solution:</u></h3>
Need to use distributive property to write the expanded form of 3(6 + 7)
Let’s understand what is distributive property.
The distributive property states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the products together.
According to distributive property, for numbers a , b and c
----- eqn 1
3(6 + 7) can be rewritten as 3 ( 6 + 4 + 3 ) = 3 ( 10 + 3 )
Now in our case a = 3 , b = 10 and c = 3
On substituting the values of a , b and c in equation 1 we get
So expanded form of 3( 6 + 7) is
Answer:
Sine is equal to opposite over hypotenuse in right triangles. Let's say we have a 3-4-5 right triangle, the side opposite the 90° angle is 5, and 5 is also the hypotenuse. 5/5 = 1
Therefore, in all right triangles, the side opposite the 90° angle is equal to the hypotenuse, and anything over itself is equal to one.
(Not sure if this is a mathematically correct way to explain it, but it makes the most sense to me.)
All three angles in a triangle add up to 180 degrees.
Therefore, we should just add up all the angles given to us and set them equal to 180 :)
3x + 5x + (2x + 5) = 180
Now we just need to combine all the similar terms together (which is the 3x, 5x, and 2x):
10x + 5 = 180
Subtract 5 from both sides of the equation:
10x = 175
Now just divide by 10 on both sides to isolate the x and work out your value:
x = 17.5
Therefore, your final value of x is 17.5 :)
Answer:
2,920 ounces
Step-by-step explanation:
To find this, just multiply:
292 × 10 = 2,920
So, 2,920 ounces are needed
Hope this helps :)
