There are two numbers whose sum is 64. The larger number subtracted from 4 times the smaller number gives 31. Then the numbers are 45 and 19
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Given that, There are two numbers whose sum is 64.
Let the number be a and b in which a is bigger.
Then, a + b = 64 ------ eqn (1)
The larger number subtracted from 4 times the smaller number gives 31.
4 x b – a = 31
4b – a = 31 ----- eqn (2)
We have to find the numbers.
So, from eqn (2)
a = 4b – 31
Subatitute a in (1)
4b – 31 + b = 64
On solving we get
5b = 64 + 31
5b = 95
b = 19
So, b = 19, then eqn 1
a + 19 = 64
On simplification,
a = 64 – 19
a = 45
Hence, the two numbers are 45 and 19
4x-2y=8 ==> y=2x-4 (to better show you what I mean)
2 lines are parallel if they have the same slope (m the coefficient of x).
So y=mx + b // y =2x-4 means m=2 & y=mx + b, becomes y=2x + b.
Moreover they are telling us that this function passes by (-2,1), where -2 represents x & 1, represents y. To calculate b , replace x & y by their values:
y=2x+b ==> 1 = 2(- 2) + b==> 1 = -4 + b ==> b= 5. Finally the equation is
y=-2x+5
The cost per day is $65 per day, the total cost for 8days will be:
8×65
=520
suppose that E is the number of miles she can drive without exceeding $600.
Thus
0.24×E+520=600
hence solving for E we get
0.24E=600-520
0.24E=80
hence
E=80/0.24
E=333.3333
E~333
12, or -12
12*12 = 144
-12*-12 = 144
Answer: 
and 
is a right angle .
Step-by-step explanation:
Given : A reflection is a transformation that maps point Q in a figure over a line, AB, such that for point C at the intersection of AB and QQ'.
We know that reflection creates a image equidistant from the line of reflection.
Thus,
Also in reflection , a line drawn from the point is perpendicular to the line of reflection.
Therefore, is a right angle
