<span>Solve the system
9x = 27-9y
20x=71-9y
Let's use the "elimination through addition/subtraction method.
Multiply the first equation by -1 so as to obtain +9y:
-9x = -27 + 9y
</span><span>20x= 71- 9y
--------------------
Add these 2 equations together:
</span>-9x = -27 + 9y
20x= 71- 9y
--------------------
<span> 11x = 44
Solve this for x: x = 44/11 = 4.
Now find y by subst. 4 for x in either of the original equations.
Using the second equation: </span><span>
</span>20x=71-9y
20(4) = 71 - 9y
80-71 = -9y
9 = -9y. Then y = -1.
The solution set is (4,-1).
Answer:
The weight of the turkey is related linearly to the time taken to cook it, however, they are not proportional to each other.
Explanation:
1- Direct proportional means that when the weight of the turkey increases, the time required to cook it increase with the same amount, and vice versa
2- Inverse proportional means that when the weight of the turkey increases, the time required to cook it decrease, and vice versa
2- No proportionality relation means that the two are not related to each other.
Now, for the given problem, we are given that:
i. 10lb turkey takes 3 hours to cook
ii. an additional 12 minutes is added for every extra 1lb of turkey
Therefore:
If we have 10lb turkey ......> time required = 3 hr
If we have 11lb turkey .......> time required = 3 hr + 12 min
If we have 12lb turkey .......> time required = 3 hr + 12 min + 12 min
If we have 13lb turkey .......> time required = 3 hr + 12 min + 12 min + 12 min
Noticing the pattern, we can find that:
time required to cook the turkey increases as the weight of the turkey increases but not at the same rate.
This means that when the weight of the turkey is doubled, the time increases, however, it is not doubled.
This means that the weight of the turkey is related linearly to the time taken to cook it, however, they are not proportional to each other.
Hope this helps :)
Answer:
B. 126 degrees
Step-by-step explanation:
lets say the angle is x
the equation we have here is the 8th graders divided by the total number of students is equal to x divided by 360 degrees since a circle has a 360 degree angle.
The equation is:
350/1000=x/360
in number form.
350/1000= 0.35 = 35%
so now we know x/360=35%
126/360=35%
so the answer would be 126 degrees.
<em>Hope that was helpful, if it was please rate it for anyone else who is asking the same question.</em>
Answer: 225
Step-by-step explanation:
Let the total number of pizza made be represented by x.
Therefore, the situation in the question can be written as:
12% × x = 27
12/100 × x = 27
0.12 × x = 27
0.12x = 27
Divide both side by 0.12
0.12x/0.12 = 27/0.12
x = 225
The total pizza made was 225.
Answer:
Yellow is correct.
You can add the valued and divide by how many values there are to find the mean
The score of 20 is an outlier and brings the mean score down by almost 10%
Step-by-step explanation:
