Solve for y in 4x+y=11
4x + y = 11
<span>y = 11 − 4x
</span>Substitute <span>y = 11 - 4x</span> into <span>8x + 2y =13
22 = 13
</span>Since <span>22 = 13</span><span> is not true, this is an inconsistent system.
</span>
So, no solution.
Hope this helped! :D
Answer:
Length of the final sides: 6 cm and 16 cm
Step-by-step explanation:
The lengths of the sides of the original box are
Later, a piece of tin is cut out from each corner; the piece cut out has the shape of the square: we can call the length of its generic side x. Therefore, the dimensions of the box will now be:
We also know that the area is
And the area can be written as product of length and width, therefore:
So we find:
Solving for x,
Which has two solutions:
x = 13 cm (this is larger than the initial length of the width, therefore we discard it)
x = 2 cm
So, the length of the new sides are
Question is incomplete below is complete question.
Mr Baker wants to divide his class into smaller, equal-sized groups of students. However, he finds that his class cannot be divided evenly into any size group except for individual groups of 1.Complete the statements below about the number of students in Mr Baker's class.
Answer:
The number of students in his class must be a prime number.
Step-by-step explanation:
Given:
Mr Baker wants to divide his class into smaller and equal-sized group of students.
Also class cannot be divided evenly into any size group except for individual groups of 1.
If he cannot divide his team into smaller equal sized groups, that means that it cannot be divided by a number. Prime numbers are numbers that can only be divided evenly by themselves and 1.
Hence from above we can say that,
The number of students in his class must be a prime number.
Answer:
Step-by-step explanation:
The easiest way to do this is either to find a pattern or list them. We'll list them first.
3 9 15 21 27 33 39 45 51 57 63 69 75 81 87 93 99
17 but there is a pattern
Starting with 3, add 6 to every number you find in the series. There is a formula that covers this
l = a + (n- 1)*d
a = 3
l = 99
d = 6
99 = 3 + (n - 1)*6 Subtract 3
99 - 3 = (n - 1)*6
96 = (n - 1)*6 Divide by 6
96/6 = (n -1)*6/6
16 = n - 1 Add 1 to both sides.
16+1 = n - 1 + 1 Combine
17 = n
