Answer:
6. He had Rs728.
7. There are 1875 pupils in the school.
Step-by-step explanation:
6.
He started with x amount of money.
He spent 1/4 of x. x - (1/4)x = (4/4)x - (1/4)x = (3/4)x
After buying the lottery tickets, he had (3/4)x left.
Then he spent 2/7 of the remainder on scratch cards.
He spent 2/7 of (3/4)x on scratch cards. Since he spent
2/7 of the reminder on scratch cards, he has 5/7 of the reminder left.
5/7 * (3/4)x = (15/28)x
He has (15/28)x left. He has Rs390 left.
(15/28)x = 390
15x = 390 * 28
15x = 10920
x = 728
Answer: He had Rs728.
7.
8/15 of the pupils are girls.
1 - 8/15 = 15/15 - 8/15 = 7/15
7/15 of the pupils are boys.
Let x = total number of pupils in the school
(8/15)x = (7/15)x + 125
Multiply both sides by 15.
8x = 7x + 1875
x = 1875
Answer: There are 1875 pupils in the school.
Answer:
8x^2
Explanation:
First, do prime factorization of each of the coefficients:
32 ⇒ 2^5
24 ⇒ 2^3, 3
The greatest common factor (GCF) of the coefficients is 2^3 = 8.
Next, find the GCF of the variables:
x^2
x^2, y
The GCF of the variables is x^2.
Finally, multiply the GCF of the coefficients by the GCF of the variables to get:
8x^2
Answer:
Lisa is not right.
Step-by-step explanation:
The equation Lisa is solving is x+6=8+x
The solution for the given value will be the value of x.
To solve for x we isolate the x term that is bring both x on one side of the equal sign.
Subtracting x both sides we have:
x-x+6=8+x-x
The x on both sides gets cancel and hence there is no value of x that will satisfy the equation x+6=8+x.
So Lisa solution is not right.
Given:
The given geometric sequence is:
0.0625, 0.25, 1, ..., 4194304
To find:
The number of terms in the given geometric sequence.
Solution:
We have,
0.0625, 0.25, 1, ..., 4194304
Here, the first term is 0.0625 and the common ratio is:
The nth term of a geometric sequence is:
Where, a is the first term and r is the common ratio.
Putting in the above formula, we get
On comparing both sides, we get
Therefore, the number of terms in the given geometric sequence is 14.
It’s 6x6=36, because if 4 over 2 was 4 twice then 6 over 2 is 6 twice.