Answer: See explanation
Step-by-step explanation:
We will use the formula for an arithmetic sequence which will be:
a + (n - 1)d
where a = unknown
n = 6
d = 4
We then slot them into the formula
a + (6 - 1)4 = 12
a + 5(4) = 12
a + 20 = 12
a = 12 - 20
a = -8
The 6 numbers are
1st term = -8
2nd term = -8 + 4 = -4
3rd term = -4 + 4 = 0
4th term = 0 + 4 = 4
5th term = 4 + 4 = 8
6th term = 8 + 4 = 12
Answer: There were 78 red apples at the party.
Step-by-step explanation:
This situation can be represented by the equation
x + 3x + 2(3x) = 130 where x is the number of green apples, 3x is the number of yellow apples and 2(3x) is the number of red apples.
Now solve for x
x +3x +2(3x) =130
4x + 6x = 130
10x = 130
x = 13
Now we know that x is 13 so put it into the expression for red apples and solve for the actual number of red apples.
2 * (3*13) = ?
2 * 39 = 78
Answer:
I think it is C
Step-by-step explanation:
6a-4 = 3a+54
3a = 58
a = 58/3
a= 19.333
Answer:
5/9 of the area of square ABCD is shaded
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
To find out what fraction of the area of square ABCD is shaded, divide the shaded area by the total area of square ABCD
step 1
Find out the area of square ABCD
The area of a square is

where
b is the length side of the square
we have

so


step 2
Find out the area of the 4 congruent right triangles
![A=4[\frac{1}{2}(x)(2x)]=4x^{2}\ units^2](https://tex.z-dn.net/?f=A%3D4%5B%5Cfrac%7B1%7D%7B2%7D%28x%29%282x%29%5D%3D4x%5E%7B2%7D%5C%20units%5E2)
step 3
Find out the area of the shaded region
The area of the shaded region is equal to the area of square ABCD minus the area of the 4 congruent right triangles
so

step 4
Divide the shaded area by the total area of square ABCD

therefore
5/9 of the area of square ABCD is shaded