Answer:
The book costs $2 and the pencil also costs $2.
Step-by-step explanation:
It is easy to get the value of the book and the pencil if we use<em> algebraic expressions.</em>
Let x be the cost of the book and let y be the cost of the pencil.
The sum of 2 books and a pencil is $6.00
The difference of cost between 3 books and 2 pencils is $2.00.
Step 1: Let's get the value of y first.
2x + y = 6
y = 6 - 2x
Step 2: Let's substitute the value of y and look for the value of x.
3x - 2y = $2.00
3x - 2(6-2x) = 2
3x - 12 + 4x = 2
7x = 12 + 2
7x = 14
x = 
x = $2 (this is the cost of the book)
Step 3: Let's substitute the value of x and look for the value of y.
2x + y = 6
2 (2) + y = 6
4 + y = 6
y = 6 - 4
y = $2 (this is the cost of the pencil)
Let's check:
2x + y = $6
2(2) + 2 = 6
4 + 2 = 6
6 = 6<em> (CORRECT)</em>
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Answer:
14
Step-by-step explanation:
20-(4+14)/3
20-(18)/3
20-6
14
Hope this helped.
A Brainliest is always appreciated.
Answer:
19/24
Step-by-step explanation:
From the question we are informed that Lisle bought 3/8 pounds of red grapes and 5/12 pound of green grapes
✓3/8 pounds of red grapes and 5//12
✓First thing to do is to add the fractions
But we need " the least common denominator" because their denominator are not the same, we need to make it the same...
✓ The two denominator ( 8 and 12) are both factor of 24, therefore their "least common denominator" is 24.
✓To make 3/8 pounds of red grapes has a denominator of 24, we multiply both the denominator & numerator with factor of 3.
3/8 = (3×3)/(8×3)=9/24
✓To make 5/12 pounds of green grapes has a denominator of 24, we multiply both the denominator & numerator with factor of 2.
5/12= (5×2)/(12×2)= 10/24
✓ we can see they both have the same denominator, then we can now "add both denominators"
(9+10)=19
✓ Then place the addition of the denominators on the least common denominator.
= 19/24.
Therefore, he bought 19/24 of grapes
Thank youuuuuuuuuuuuuuuuuu
All you have to do is multiply the two numbers together
1.18 x 18.5 = 21.83