Answer:
A proportional relationship is there.
Step-by-step explanation:
Here in the table, the values of y are given corresponding to the values of x.
There are four sets of values of x and y.
We have to check whether the relationship is proportional or not.
Now, rate of change of y with respect to x will be from the first two pair of values is = 
Again, rate of change of y with respect to x will be from the second two pair of values is = 
And, rate of change of y with respect to x will be from the third two pair of values is = 
So, the rate is always 0.75.
Therefore, a proportional relationship is there. (Answer)
Answer:
1.) 9
2.) 20
Step-by-step explanation:
1.) 39 is incorrect because they didn't follow the PEMDAS rule.
They subtracted 2 from 15 which is 13, and then they multiplied 13 by 3.
<u>The correct way is to multiply 2 times 3 which is 6, and then subtract 6 from 15 which is 9.</u>
<u />
2.) 12 is incorrect because they didn't use PEMDAS.
They added 8 to 16 which is 24, and then divided 24 by 2.
<u>The correct way is to divide 8 by 2 which is 4, and then add for to 16 which 20.</u>
Answer:
x = 7
y = 2
Step-by-step explanation:
In the above question, we are given 2 equations which are simultaneous. To solve this equation, we have to find the values of x and y
x + 3y = 13 ........ Equation 1
x - y = 5...........Equation 2
From Equation 2,
x = 5 + y
Substitute 5 + y for x in Equation 1
x + 3y = 13 ........ Equation 1
5 + y + 3y = 13
5 + 4y = 13
4y = 13 - 5
4y = 8
y = 8/4
y = 2
Since y = 2, substitute , 2 for y in Equation 2
x - y = 5...........Equation 2
x - 2 = 5
x = 5 + 2
x = 7
Therefore, x = 7 and y = 2
Answer:
7. 250%
8. 400%
9. 667%
10. 769%
11. 263%
12. 125%
13. 137%
14. 526%
Step-by-step explanation:
divide the first number by the second number, then multiply that answer by 100
so kind of like: Number1 ÷ Number2 = x
then you do x × 100
and that's your answer
(all of my answers are rounded to the nearest percent)
2a + 3b = 6
5a + 2b = 4
We multiply the first equation by 5 and the second by 2 and and subtract the second from the first:
10a + 15b = 30
-10a -4b = -8
11b = 22
b = 2
2a + 3(2) = 6
2a = 0
a = 0
Checking,
5(0) + 2(2) = 4
4 = 4, true
