Leftover Expression
1 answer:
The second leftover expression is not o(a+b). It is 6(a + b). I have attached the correct question to depict that.
Answer:
The equivalent expressions are;
8a + 2 and 6a + 6b
Step-by-step explanation:
The two leftover expressions are given as;
2(4x + 1) and 6(a + b)
In algebra, equivalent expressions are simply those expressions which when simplified, give the same resulting expression as the initial one.
Thus simply means expanding or collecting like times to make it clearer.
Now, in our question, like terms have already been collected. This means that to find an equivalent expression, we will just expand the bracket.
Thus;
2(4x + 1) will be expanded by using the 2 outside the bracket to multiply the terms inside the bracket. This gives;
8x + 2
Similarly,
6(a + b) will be expanded by using the 2 outside the bracket to multiply the terms inside the bracket. This gives;
6a + 6b
Thus;
The equivalent expressions are;
8a + 2 and 6a + 6b
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Answer:
Harry buys 6 apples and 5 oranges at the store.
Step-by-step explanation:
Given:
Cost of each apples = $0.8
Cost of each oranges = $0.95
Total money spend =$9.55
Number of fruits bought= 11
We need to find the number of apples bought and number of oranges were bought.
Solution:
Let the number of apples bought be 'a'.
Let the number of oranges were bought be 'o'.
Number of fruits bought= 11
So we can say that;
Number of fruits bought is equal to sum number of apples bought and number of oranges were bought.
framing in equation form we get;
⇒ equation 1
Now we can say that;
Total money spend is equal to number of apples bought multiplied by Cost of each apples plus number of oranges were bought multiplied by Cost of each oranges.
framing in equation form we get;
⇒ equation 2
Now Multiplying equation 1 by 0.8 we get;
⇒ equation 3
Subtracting equation 3 from equation 2 we get;
Dividing both side by 0.15 we get;
Substituting the value of o in equation 1 we get;
Hence Harry buys 6 apples and 5 oranges at the store.