Answer:
87.5 teaspoons
Step-by-step explanation:
Given that a mixture of purple paint contains 6 teaspoons of red paint and 15 teaspoons of blue paint.
So, Purple paint : Blue paint = 6 :15
To make the same shade the ratio of purple and blue paint must be the same.
In the new mixture, the amount of purple paint =35 teaspoon.
let the amount of red paint =x teaspoon.
So, in the new mixture,
Purple paint : Blue paint = 35 : x
So, to make the same shade, the ratio of purple and red paint must be the same, i.e
35 : x = 6 :15


Hence, 87.5 teaspoons of red paint required to mix with 35 teaspoons of purple paint to make the same shade.
Answer:answer b
Step-by-step explanation:
When reduced, both of these equations are
y=(-2/5)x + 7/5, which means they are the same line and therefor have infinitely many solutions
*If you need me to do #5, DM me!
3. The area of a triangle can be given by (just plug and chug as always):

The area of the triangle is
6ft².
4. I will divide into a triangle and a rectangle (because the actual equation for the area of a pentagon requires it to be a perfect pentagon). Let's do the triangle first (height is 3 because you subtract 12 from 15):


Now we just add them:

So, the area of that pentagon is
108m².
5. You are actually wrong on this one because the area of a triangle is:

So, just halve your answer and it will be correct.
6. We can just split it into 4 triangles of equal area and then multiply the area of 1 triangle by 4 to get the total area. Let's do just that:

Multiply by 4 to get total area:

So, the area of the given rhombus is
25cm².
Answer: No
Step-by-step explanation:
An event that cannot possibly happen has a probability of zero. If there is a chance that an event will happen, then its probability is between zero and 1. Thus, an unlikley event would be a low probability, not 0