The solution of the system is:
x = 62/7
y = 30/7
<h3>
How to solve the system of equations?</h3>
Here we have the system:
4x + 5y = -14
-5x - 8y = 10
To solve it by combining the equations, we need to try to remove one of the variables.
If we take the sum of 5 times the first equation and 4 times the second equation we get:
5*(4x + 5y) + 4*(-5x - 8y) = 5*(-14) + 4*10
If we simplify that we get:
20x + 25y - 20x - 32y = -30
-7y = -30
Now we can solve that for y:
y = -30/-7 = 30/7
Now to get the value of x, we can replace the value of y in any of the given equations:
Using the first one:
4x + 5y = -14
x = (-14 - 5y)/4
x = (-14 - 5*30/7)/4 = (-98/7 - 150/7)/4 = 248/28 = 124/14 = 62/7
The solution of the system is:
x = 62/7
y = 30/7
If you want to learn more about systems of equations:
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Answer:
1552 Photos
Step-by-step explanation:
I relabeled the albums as SP (Small album) and LA (Large album)
1 la holds 184
1 sp holds 112
112 • 4 = 448
184 • 6 = 1,104
448 + 1,104 = 1552
Answer:
you can cut pizza better
Step-by-step explanation:
The temperature that accurately describes the time that would have spent cooling is 300.
<h3>How to solve for the cooling time.</h3>
We have the function as f(t) = 349.2(0.98)t
We have to solve for all of the values in the option
When t = 0
This would give us an infinite value for t hence it is not the answer.
When t = 100
we have 61.6
When t = 300
we have f(t) = 7.5
WHen t = 400
f(t) = -6.7
From the solved values the accurate one that has to talk about the time spent cooling is 300 at 7.5
<h3>Complete question</h3>
The function f(t) = 349.2(0.98)t models the relationship between t, the time an oven spends cooling and the temperature of the oven. For which temperature will the model most accurately predict the time spent cooling? 0 100 300 400
Read more on the temperature here:
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$32.30 is the answer. If you need the work shown, just ask.