Answer:
the answer is C - 11/3
Step-by-step explanation:
solve this by multiplying the whole number (in this case 3) by the denominator (in this case 3) and adding the product to the numerator (in this case 2)
3*3=9+2=11 so the answer is 11/3
A math expression is anything where you take one or more numbers and add them, subtract them, multiply, divide, etc etc
For example, 2+3 is a math expression
To make it an algebraic expression, we replace one of the numbers with a variable. Often this is the letter x. So let's say we replace the 2 with x. That would have the expression turn into x+3. What we're saying is "some number plus 3"
Normally 2+3 = 5 which is a true equation. Replace the 2 with x and we have x+3 = 5. So we're saying "some number plus 3 is 5". You can guess and check to find that the "some number" has to be 2
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In summary, the expression example was x+3 and the equation was x+3 = 5
Note: an equation is simply two expressions set equal to each other.
Answer:
3. The equivalent fractions are presented as follows;
4. The equivalent fractions are presented as follows;
5. The reason why it works is because 
Step-by-step explanation:
3. Based on the shaded region of the given figures, the two fractions are equivalent
Mathematically, we can show the equivalency of the two fractions as follows;
Therefore;
4. From the shaded region of the given figure, the fractions are equivalent
Mathematically, we have;
Therefore;
5. The amount of salt required by the recipe = 1/4 teaspoon of salt
The measure of the spoon Jonas has = 1/8 teaspoon
When Jonas adds two 1/8 teaspoons, he gets;
Therefore;
Two 1/8 measuring teaspoons are equivalent to one 1/4 teaspoons and therefore Jonas is able to get the 1/4 teaspoons of salt the recipe asks for b combining two 1/8 measuring teaspoons of salt he has because 1/8 + 1/8 = 1/4.
Answer: Distance between line and point =
4√5 -3/2√10
Step-by-step explanation:
Distance between the line is
= √ ((9-0)²+(0+1)²)
= √ (89+1)
= √90
= 3√10
Half of the line = 3/2√10
Distance of one side of the line and the point.
= √((9-1)²+(0-4)²)
= √((8)²+(-4)²)
=√64+16
= √80
= 4√5
Distance between line and point =
4√5 -3/2√10
