Answer:
D
Step-by-step explanation:
Here, we want to know the total amount of money shared
Total ratio is 2 + 4 + 9 = 15
Now, John and Peter with ratios 2 and 4 equals $360
If we combine their ratios, what we have would be
6:9
Let the amount shared be x
Now, mathematically
6/15 * x = 360
6x = 15 * 360
x = (15 * 360)/6
x = $900
Hey there!
Let's start by solving for x.
Take the first equation, y = -3x - 7, and substitute in the second equation, y = x + 9, for y.
We now have:
x + 9 = -3x - 7
Add 3x to both sides.
4x + 9 = -7
Subtract 9 from both sides.
4x = -16
Divide each side by 4.
x = -4
Let's use the second equation, y = x + 9, to solve for x.
Put in the value we just solved for.
We now have:
y = -4 + 9
Simplify.
y = 5
Let's check our answer, starting with the first equation, y = -3x - 7.
Put in the values for x and y.
5 = -3(-4) - 7
5 = 12 - 7
5 = 5
Do the same with the second equation, y = x + 9.
5 = -4 + 9
5 = 5
The solution to the system of equations is (5, -4).
Hope this helps!
Answer:
a. (x,y) -> (x,-y)
Step-by-step explanation:
Just by observing the graphs original and transformed shape, you can see that both graphs are in the same negative x-axis. Yet, the original is in the positive y-axis and the transformed is in the negative y-axis.
Answer:
86
Step-by-step explanation:
Firstly,
Average = Sum/Number of Numbers
Since 7 grades' average is 77, so we can say:
77 = Sum/7
Hence, Sum = 77 * 7 = 539
Now,
81 - 18 = 63 [63 marks were recorded incorrectly. actual sum would be 63 more]
So,
Actual Sum should be 539 + 63 = 602
Actual Average = 602 / 7 = 86
Hence, actual report card average would be 86
Answer:
x=15
Step-by-step explanation:
165+x=180
x=180-165
x=15