Answer:
A rational number is a number that can be written as a ratio of two integers a and b, where b is not zero. For example, 4/7 is a rational number, as is 0.37 because it can be written as the fraction.
Step-by-step explanation:
Answer:
64 cups of lemon juice
Explanation:
First, you can determine with the information provided the amount of cups of lemon needed to prepare sixteen cups of lemonade:
5 cups of lemonade→2 cups of lemon juice
16 cups of lemonade→x
x=(16*2)/5=6.4 cups of lemon juice
Now, you now that for sixteen cups that is the amount in a gallon you need 6.4 cups of lemon juice and you can use a rule of three to determine the amount needed for ten gallons of lemonade:
1 gallon of lemonade→6.4 cups of lemon juice
10 galons of lemonade→x
x=(10*6.4)/1=64 cups of lemon juice
According to this, the answer is that 64 cups of lemon juice are needed to make ten gallons of lemonade.
Answer:
it is 1/2
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
We can find the slope of a line given two points from the formula
m = (y2-y1)/(x2-x1)
= (-2--1)/(-12--8)
= (-2+1)/(-12+8)
=-1/-4
= 1/4
Answer:
Base = 32 cm
Height = 25 cm
Step-by-step explanation:
Area of a triangle can be calculated as:
We are given that the base of triangle exceeds the height by 7 cm. This can be expressed in an equation form as:
Base = Height + 7
Lets use B to represent base and H to represent height
B = H + 7
The equation of area can be stated as:
This is a quadratic equation which can be solved using a quadratic equation as shown below:
Since the height cannot be negative, we'll consider the positive value only i.e height is equal to 25 cm.
Therefore, the length of base will be 25 + 7 = 32 cm.
