Answer: 3600 grams
Step-by-step explanation:
A dekagram means 10 grams.
1 kilogram = 1000 grams
Therefore the total number of grams when Antoine Purchase 1.8 kg of apples and 315 dekagrams of oranges will be:
= (1.8 × 1000) + (315 × 10)
= 1800 + 3150
= 4950 grams
Since this was 1350g more than the weight of bananas, the weight of the bananas Antonio purchased in grams will be:
= 4950 - 1350
= 3600 grams
Using linear combination method to solve the system of equations 3x - 8y = 7 and x + 2y = -7 is (x, y) = (-3, -2)
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Solution:</u></h3>
Given that, a system of equations are:
3x – 8y = 7 ⇒ (1) and x + 2y = - 7 ⇒ (2)
We have to solve the system of equations using linear combination method and find their solution.
Linear combination is the process of adding two algebraic equations so that one of the variables is eliminated. Addition or subtraction can be used to perform a linear combination.
Now, let us multiply equation (2) with 4 so that y coefficients will be equal numerically.
4x + 8y = -28 ⇒ (3)
Now, add (1) and (3)
3x – 8y = 7
4x + 8y = - 28
----------------
7x + 0 = - 21
7x = -21
x = - 3
Now, substitute "x" value in (2)
(2) ⇒ -3 + 2y = - 7
2y = 3 – 7
2y = - 4
y = -2
Hence, the solution for the given two system of equations is (-3, -2)
Answer:
Option D, 15 and 10
Step-by-step explanation:
<u>Step 1: Convert the words into an expression</u>
A number is 5 less than 2 times another number. Their sum is 25.
<em>2x - 5 = 25</em>
<em />
<u>Step 2: Solve for x</u>
2x - 5 + 5 = 25 + 5
2x / 2 = 30 / 2
<em>x = 15</em>
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Answer: Option D, 15 and 10
These would all be correct!
Hello!
The line y=1 is horizontal. Therefore, only our y-value will change. As you can see, our y-value is 6 units away from this line. Therefore, we subtract to find the y-value.
1-6=-5
Therefore, our final point is (-2,-5).
I hope this helps!
