Answer:
???????
Step-by-step explanation:
I think it does pass through (3, -6) and the slope is 2, -3 based on the information I was given.
Answer:
40
Step-by-step explanation:
Answer:
43
Step-by-step explanation:
Let
The unit digit = x
The tens digit = y
The number = 10x + y
The tens digit of a two-digit number is five more than the units digit.
y = x + 5
Seven times the sum of the digits of this number is 3 less than the number itself.
7(x + y) = 10x + y - 3
7x + 7y = 10x + y - 3
Find the number.
We substitute x + 5 for y
7x + 7(x + 5) = 10x + (x + 5) - 3
7x + 7x + 35 = 10x + x + 5x - 3
14x + 35 = 11x + 5x - 3
Collect like terms
35 + 3 = 11x + 5x -14x
38 = 16x - 14x
38 = 2x
x = 38/2
x = 19
Solving for y
y = x + 5
y = 19 + 5
y = 24
The number = 19 + 24
= 43
Answer:
You can prove this statement as follows:
Step-by-step explanation:
An odd integer is a number of the form
where
. Consider the following cases.
Case 1. If
is even we have:
.
If we denote by
we have that
.
Case 2. if
is odd we have:
.
If we denote by
we have that 
This result says that the remainder when we divide the square of any odd integer by 8 is 1.
An equivalent ratio would be 4/10, and the number of cattle would be 136,000.Explanation:The question asks for an equivalent ratio. This means a fraction that is equivalent to the fraction between 700-799, which is 2/5.To create an equivalent fraction, we multiply the numerator and denominator by the same number. Multiplying both by 2, we get (2*2)/(5*2) = 4/10.Tenths are useful when dealing with thousands, because taking a tenth involves getting rid of a zero. This means that 1/10 would be 34000; 4/10 would be 4 times that: 4(34000) = 136000.
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