Answer: There are 165 boys
Step-by-step explanation:
Let's call b the number of boys and call g the number of girls in the class.
Then we know that:
There are 462 students. This is:
We also know that there are 132 more girls than boys, this means that:
Now we substitute the second equation in the first and solve for b.
Answer:
Step-by-step explanation:
Lets try to simplify each to check which one is incorrect so it will be NOT true
first one is :
distribute the exponent so :
CORRECT
Second one is :
CORRECT because anything raised to exponent 0 is 1 .
Last one is :
so Last is INCORRECT
A 42
B 48
C 132
D 138
Answer:
D 138
Step-by-step explanation:
the outside angle(x) of a triangle whose base is extended is always equivalent to the farthest 2 inside angles of the triangle.
x = 48 + 90 = 138
The solution is, the 8th term of the arithmetic sequence with a first term of 7 and a common difference of -3 is, a_8 = - 14.
An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
For instance, the sequence 5, 7, 9, 11, 13, 15.. . is an arithmetic progression with a common difference of 2.
The nth term of AP : a_n = a + (n – 1) × d
here, we have,
we know that,
The n th term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 7 and d = - 3,
thus,
a_8 = 7 + (7 × - 3) = 7 - 21 = - 14
Hence, The solution is, the 8th term of the arithmetic sequence with a first term of 7 and a common difference of -3 is, a_8 = - 14.
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Answer:
= - 14
Step-by-step explanation:
The n th term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 7 and d = - 3, thus
= 7 + (7 × - 3) = 7 - 21 = - 14
Evan typed 36 pages in the morning, 24 in the afternoon, and midnight, totaling 72 pages for the day.
We need to apply fraction operations to find out how many pages Evan typed in the morning, the afternoon, and overall. He typed half of the pages in the morning, which is 72/2= 36 pages. He then typed one-third of the pages in the afternoon, 72/3= 24 pages.
To find out how many pages he typed in the evening, subtract what he typed in the morning and the afternoon from the total pages; 72 - 36 - 24 = 12 pages.
Therefore, Evan typed 36 pages in the morning, 24 in the afternoon, and 12 in the evening. Altogether, Evan typed a total of 72 pages that day.
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