Answer:
9/2 or 4.5
Step-by-step explanation:
8t+12s=180 and t=3s is the system of equations that represents the given scenario.
Step-by-step explanation:
Given,
Cost of a t-shirt = $8
Cost of a shorts = $12
t-shirt = t
shorts = s
Revenue earned = $180
According to given statement;
8t+12s=180
The store sold three times as many T-
shirts as shorts.
t = 3s
8t+12s=180 and t=3s is the system of equations that represents the given scenario.
Keywords: linear equation, revenue
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Answer:
The greatest number of rows that can be planted, and have nothing left over, would be 3
Step-by-step explanation:
Find the greatest common factor (gcf) of 15 and 9
15: 1 3 5 15
9: 1 3 9
In this case, the gcf of 15 and 9 would be 3.
Answer:
81000
or 8.1
Step-by-step explanation:
1m = 100cm
10m = 1000cm
a= b*h
a= 1000cm * 810cm
= 810000
1
= 10000
810000
= 8.1
So for this, we will be using synthetic division. To set it up, have the equation so that the divisor is -10 (since that is the solution of k + 10 = 0) and the dividend are the coefficients. Our equation will look as such:
<em>(Note that synthetic division can only be used when the divisor is a 1st degree binomial)</em>
- -10 | 1 + 2 - 82 - 28
- ---------------------------
Now firstly, drop the 1:
- -10 | 1 + 2 - 82 - 28
- ↓
- -------------------------
- 1
Next, you are going to multiply -10 and 1, and then combine the product with 2.
- -10 | 1 + 2 - 82 - 28
- ↓ - 10
- -------------------------
- 1 - 8
Next, multiply -10 and -8, then combine the product with -82:
- -10 | 1 + 2 - 82 - 28
- ↓ -10 + 80
- -------------------------
- 1 - 8 - 2
Next, multiply -10 and -2, then combine the product with -28:
- -10 | 1 + 2 - 82 - 28
- ↓ -10 + 80 + 20
- -------------------------
- 1 - 8 - 2 - 8
Now, since we know that the degree of the dividend is 3, this means that the degree of the quotient is 2. Using this, the first 3 terms are k^2, k, and the constant, or in this case k² - 8k - 2. Now what about the last coefficient -8? Well this is our remainder, and will be written as -8/(k + 10).
<u>Putting it together, the quotient is
</u>