A linear equation of the form :
y = mx+b
can have at the most ONE x-intercept and at the most ONE y-intercept
I can conclude that this linear equation DOESN'T pass through the origin (O) and that it intercepts the x-axis as well as the y-axis
Answer:
The amount of mango juice needed is 8 quarts
Step-by-step explanation:
To calculate the amount of mango juice needed, we will need to know the amount used the previous week.
Cranberry juice to Mango juice is 3:2 with cranberry used being 4 quarts. Let the quarts of Mango juice used be x
This means;
3/2 = 4/x
1.5 = 4/x
1.5x = 4
x = 4/1.5 quarts
Since they are making 3 times as much punch, the amount of mango juice needed will be 4/1.5 * 3 = 4 * 2 = 8 quarts
Answer
The monkey will be able to cover an area of 22.86 meters which is equivalent to two sides and half of the building.
Step-by-step explanation:
The length of the monkeys rope = 75 feet long
Each side of the hexagon shaped facility = 30 feet
Note that, 1 feet = 0.3048 m
if we convert 30 feet to Meter, we have,
30 × 0.3048 = 9.144
Therefore, 30 + 30 +15 = 75 which is equivalent to the two side and half side of the hexagon shaped building
75 feet × 0.304 meter = 22.86 meters.
So the total area the monkey will be able to cover will be
= 22.86 Meters which is equivalent to two sides and half of the hexagon shape building.
Following PEMDAS is crucial to solving these. Please Excuse My Dear Aunt Sally
P - Parenthesis
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
Multiplication/Division and Addition/Subtraction are interchangeable.
Now then, number 1 has the following:
There are no parenthesis or exponents, but there is multiplication, so we will start with multiplying. There are two multiplication expressions in the problem.
Since you did that, your answer has been simplified to:
Now, all you have to do is combine your like terms. Since every term is alike, you can combine the whole expression.
So, your final answer would be:
Hopefully with this information, you can solve the rest. If you have any questions, let me know.
