Answer:
Common ratio=1/2
Sum of first 6 terms of an A.P=31.5
Step-by-step explanation:
Let a be the first term and d be the common difference of an A.P
a=4
nth term of an A.P
Using the formula
According to question
We know that
For G.P
=Common ratio
Substitute the value of d
When d=0
When d=4/3
But we reject d=0 because if we take d=0 then the terms are not consecutive terms of G.P
Sum of n terms of an A.P
Using the formula
Substitute n=6 and d=1/2
Answer: x = -8 ; y = -6
Step-by-step explanation:
1*x-2*y=4
1*x = 4 + 2*y
x = 4 + 2*y
Now you replace the value of x on the following equation:
-1*x+10*y=8
-1*(4 + 2*y) = 8
-4 - 2*y = 8
-2*y = 8+4
-2*y = 12
y = -12/2
y = -6
You replace the value of y in the previous equation:
x = 4 + 2*y
x = 4 + 2*(-6)
x = 4 - 12
x = -8
Answer:
At most, they can invite 119 people and stay within their budget
Step-by-step explanation:
4,000 = 70 + 33x
3,930 = 33x
3930/33 = x
119 = x
—
4,000 = 70 + 33x
4,000 = 70 + 33(119)
4,000 = 70 + 3,927
4,000 = 3,997
Answer:
b
Step-by-step explanation:
8x +4(x -1)
<em>Expand by multiplying 4 into each term inside the bracket:</em>
= 8x +4(x) +4(-1)
= 8x +4x -4
<em>Simplify</em>
= 12x -4
Thus, the answer is b.