Answer: 7/8
Step-by-step explanation: Notice that 1/2 and 3/8 are unlike fractions. Our first when adding unlike fractions is to get a common denominator.
The common denominator of 2 and 8 will be the least common multiple of 2 and 8 which is 8.
To get an 8 in the denominator of 1/2, we multiply the numerator and the denominator by 4 which gives us 4/8.
Notice that 3/8 already has an 8 in the denominator so we leave it how it is.
Now we are adding like fractions.
To add like fractions, or fractions that have the same denominator, simply add the numerators and keep the original denominator.
So here, if we add the numerators we have 4 + 3 which gives us 7 and we put this over our original denominator which is 8 and we have our answer. Also, notice that 7/8 is in lowest terms so it's our final answer.
This means that 3/8 + 1/2 = 7/8
Answer:
pounds
Step-by-step explanation:
The customer will be charged extra if the weight of their suitcase is above 48 pounds.
Let the weight of the suitcase = w (in pounds)
Therefore, w above (greater than) 48 pounds is written mathematically as:
pounds
This is the inequality that represents w, the weight of the suitcase in pounds, that will have an extra charge.
Answer:
<u>Part 1</u>
<u>Sideways or "horizontal" parabola</u> with a horizontal axis of symmetry.
<u>Part 2</u>
The vertex is the turning point: (-3, 1)
<u>Part 3</u>
Vertex form of a horizontal parabola:
where:
Point on the curve: (-1, 2)
Substituting the vertex and the found point into the formula and solving for a:
<u>Part 4</u>
Equation for the given parabola in vertex form:
Equation in standard form: