A system of equations that can be used to find the number of packages of Brand X hot dog buns and Brand Y hot dog buns that Christopher buys is:
12x + 8y = 120
4.5x + 3.5y = 49.50.
The number of packages of Brand X bought is 4 and the number of packages of Brand Y bought is 9
The following equations can be derived from the question
12x + 8y = 120 equation 1
4.5x + 3.5y = 49.50 equation 2
x represents the number of packages of Brand X
y represents the number of packages of Brand Y
The elimination method would be used to determine the values of x and y
Multiply equation 1 by 4.5 and equation 2 by 12
54x + 36y = 540 equation 3
54x + 42y = 594 equation 4
Subtract equation 3 from 4
6y = 54
Divide both sides of the equation by 6
y = 9
Substitute for y in equation 1
12x + 8(9) = 120
12x + 72 = 120
12x = 48
x = 4
To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults
Answer:
Your table might look something like this:
The dads steps:
3
6
9
12
15
18
Sons steps:
5
10
15
20
25
30
You can notice the pattern. If dad walks 3 steps, son walks 5. If dad walks another 3, son walks another 5. And so on. This means dad walks 12 steps when the sin walks 20 steps.
Step-by-step explanation:
The ratio is 3:5. This means dad wlaks 3 steps so son must walk 5 steps basically. So.......... You can now create the table. Y I just have to multiply or divide each side ( of the colon:) so. Whatever you do to one side, you do to the other side. If you x3 on one side, you do it to other. Same goes for division. In the 'table' I did above, I x2 to get 6 and 10. Then I took the 3 and the 5 again and timsed those by 3. You can also change the 6 and the 10. So:
3:5
Then x2
6:10
Then I take the top layer (you can either choose to change the top layer, or layer above as long as you do the same thing to each side. Remember, only x and ÷. No + or-.) and I x3
9:15
Then I could take 9 and 15 and x5
45:75
It's crazy that all these. Ratios mena the same thing! 45 steps from dad would take the son 75 steps. You can also divide the last ratio of 45:75 to find the one you started with, 3:5.
So you get the idea.
It is probably best to do what I did in the table in the answer part because I did a pattern. Take the top layer, and x2, then x3, then x4, ect. Rather then doing random things.
Answer:
3 parts
Step-by-step explanation:
8/12 = 2/3
Apparently, Karen wants to divide her garden into 3 parts and plant 2 of them in corn.
A) Slope = 5, for the y intercept plug 0 into x, so y=5(0)+10 =10. So the y-intercept is (0,10)
c) I added the graph below. First you plot the y intercept, (0,10). Then count 5 up and 1 right and plot a point because the slope is (5/1) "slope is easy and fun, rise over run." You can go the opposite way too, 5 down and 1 left and then plot a point. Plot 5-7 points. The x-axis is time, because that is the independent variable and the y-axis is baskets of berries because that is the dependent variable.
Answer:
330
Step-by-step explanation:
When we are at 30 degrees on the unit circle, we are at the point (
/2, 1/2) so if we go to -30 degrees (330 degrees), we will be at point (-/2, -1/2).
Note: (cosine, sine)
