Answer:
x = the wight of the large box
y = the weight of the small box
A delivery of 3 large boxes and 2 small boxes has a total weight of 73 kilograms.
3x + 2y = 73
A delivery of 8 large boxes and 4 small boxes has a total weight of 177 kilograms.
8x + 4y = 177
by solving the system of equations
3x + 2y = 73
8x + 4y = 177
we find
x = 15.5 kg
y = 13.25 kg
the large box weights 15.5 kg.
the small box weights 13.25 kg.
Let the two numbers are x and y
Let larger number = x
and smaller number = y
it means
x-y = 0.77
Now it says larger number is increased 5 times
So it now becomes 5x
So second equation becomes
5x -y =77
Now we have to solve these two equations
x-y = 0.77 and 5x-y = 77
multiply first equation by -1 and then add both equations
-x+y = -0.77
Now on adding we get
-x+5x +y -y = 77-0.77
4x = 76.23
Divide both sides by 4
x=19.0575
We get the larger number , now subtract 0.77 from this , we will get the smaller number
y=19.0575-0.77=18.2875
y=18.2875
Hence the larger number = 19.0575
Smaller number = 18.2875
Answer:
A: HL
Step-by-step explanation:
The hypotenuses of these right triangles are marked congruent.
One leg of these right triangles is marked congruent.
The HL theorem applies.
<u>Part (a)</u>
The variable y is the dependent variable and the variable x is the independent variable.
<u>Part (b)</u>
The cost of one ticket is $0.75. Therefore, the cost of 18 tickets will be:
dollars
Now, we know that Kendall spent her money only on ride tickets and fair admission and that she spent a total of $33.50.
Therefore, the price of the fair admission is: $33.50-$13.50=$20
If we use y to represent the total cost and x to represent the number of ride tickets, the linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission can be written as:
......Equation 1
<u>Part (c)</u>
The above equation is logical because, in general, the total cost of the rides will depend upon the number of ride tickets bought and that will be 0.75x. Now, even if one does not take any rides, that is when x=0, they still will have to pay for the fair admission, and thus their total cost, y=$20.
Likewise, any "additional" cost will depend upon the number of ride tickets bought as already suggested. Thus, the total cost will be the sum of the total ride ticket cost and the fixed fair admission cost. Thus, the above Equation 1 is the correct representative linear equation of the question given.