Answer:
Step-by-step explanation:
hypotenuse
Answer:
1 2/7
Step-by-step explanation:
4.5:3 1/2
45/10 ÷ 7/2
45/10 x 2/7
90/70=9/7
=1 2/7
The model suggests the equation 3x-4 = 6-2x and the solution is x = 2.
What is equation?
In arithmetic, associate equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =
Main body:
According to question,
there are 3 bars for x and 2 bars for -x so it shows
The equation becomes :
3x - 4 = 6-2x
5x = 10
x =2
Hence the solution to this equation is 2.
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Answer:
20, 60, 15
Step-by-step explanation:
Let the third number be n, then
The first number is n + 5 and the second number is 4n
Sum the 3 numbers and equate to 95, that is
n + 5 + 4n + n = 95 ← collect like terms on left side
6n + 5 = 95 ( subtract 5 from both sides )
6n = 90 ( divide both sides by 6 )
n = 15
Thus
The first number is 15 + 5 = 20
The second number is 4 × 15 = 60
The third number is 15
Answer:
495 combinations of 4 students can be selected.
Step-by-step explanation:
The order of the students in the sample is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

How many combination of random samples of 4 students can be selected?
4 from a set of 12. So

495 combinations of 4 students can be selected.