Answer:
15 Dimes and 75 Nickles
Step-by-step explanation:
N = Nickles
D = Dimes
5D + D = 90
6D= 90
D= 15
90 - 15 = 75
N = 75
Answer
Find out the how much people were at the wedding.
To prove
Let us assume that the people were at the wedding be x .
As given
Joy organised a large wedding .
Guests had to choose their meals from beaf ,chicken or vegetarian .
![\frac{1}{3}\ of\ the\ guests\ chose\ beaf .](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%5C%20of%5C%20the%5C%20guests%5C%20chose%5C%20beaf%20.)
![\frac{5}{12}\ of\ the\ guests\ chose\ chicken.](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B12%7D%5C%20of%5C%20the%5C%20guests%5C%20chose%5C%20chicken.)
69 people chose vegetarian .
Than the equation becomes
![x = 69 + \frac{1x}{3} + \frac{5x}{12}](https://tex.z-dn.net/?f=x%20%3D%2069%20%2B%20%5Cfrac%7B1x%7D%7B3%7D%20%2B%20%5Cfrac%7B5x%7D%7B12%7D)
L.C.M of (3,12) = 12
than
12x = 69 × 12 + 4x + 5x
12x - 9x = 828
3x = 828
![x = \frac{828}{3}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B828%7D%7B3%7D)
x = 276
Therefore 276 people were at the wedding.
Answer:⬇️⬇️⬇️⬇️
Step-by-step explanation: Area of a triangle = ½base times height⇒ A = ½bh
Given that the area is 24 and the base is 8, we would have this equation
24 = ½(8)h
24 = 4h divide both sides by 4
6 = h So the height of the triangle is 6 feet
CHECK
A = ½bh
24 = ½(8)(6)
24 = 4(6)
24 = 24√
Answer:
33 months
Step-by-step explanation:
Set up the equation
x represents months
5x + 10 = 175
subtract 10 from both sides
5x = 165
Divide both sides by 5
x = 33