Answer:
6n + 7 = 7n
Step-by-step explanation:
Number of students involved in sports = 5n + 7
Number of students involved in student council = n
Number of students involved in sports and student council = (5n + 7) + n = 5n + 7 + n = 6n + 7
Number of students involved in band = 3n - 2
Number of students involved in drama club = 2(2n + 1)
Number of students involved in band and drama club = (3n - 2) + 2(2n + 1) = 3n - 2 + 4n + 2 = 7n
Equation to model number of students involved in sports and student council which equal number of students involved in band and drama club:
6n + 7 = 7n
Answer:
Options A, B and E represent mutually exclusive events.
Step-by-step explanation:
Two events are mutually exclusive that can not happen at a same time.
Now let us look at our options and find which statements represent mutually exclusive events.
A. We can see that landing on an unshaded portion and landing on 2 are mutually exclusive events as unshaded portion contains 3 and 4 and 2 lies on shaded portion.
B. Landing on a shaded portion and landing on 3 is also mutually exclusive as 3 lies on unshaded portion.
C. Landing on a shaded portion and landing on an even number can happen at the same time as 2 is an even number and it lies on shaded portion.
D. Landing on an unshaded portion and landing on a number greater than 3 can happen at the same time as 4 in greater than 3 and it lies on unshaded portion.
E. Landing on a shaded portion and landing on an unshaded portion are mutually exclusive events as spinner can be either in shaded portion or in unshaded portion.
Therefore, Options A, B and E are our correct choices.
Answer: she needs to buy 80kg of
dark chocolate and 70kg of milk chocolate.
Step-by-step explanation:
Let d represent the number of kilograms of dark chocolate that she buys.
Let m represent be the number of kilograms of milk chocolate that she buys.
She wants to buy 10g more of dark chocolate than milk chocolate. This means that
x = y + 10
She needs 150kg of chocolate in total for her next order. This means that
x + y = 150 - - - - - - - - - - - --1
Substituting x = y + 10 into equation 1, it becomes
y + 10 + y = 150
2y + 10 = 150
2y = 150 - 10 = 140
y = 140/2 = 70
x = y + 10 = 70 + 10
x = 80
Answer: 1.72 kilograms
Step-by-step explanation:
From the question, Ricardo is making a container of trail mix with 3.5 kilograms of nuts and he has 1.78 kilograms of almonds while the remaining of the nuts will be cashews.
To get the kilograms of cashews nuts that are needed, we subtract the kilograms of almonds from the total container. This will be:
= 3.5 kg - 1.78 kg
= 1. 72 kg
It would be “Allen” since his percentage is far more grater then the rest, even Roneisha because even though her percentage is 1% greater, she has less pages, Ben has more pages but has 1% less.
Basically it’s like 2 bikers racing, 1 biker is faster but can’t go 5 miles, but the other is not that fast but can go 5+ miles.
Now who can go further, it would be the slow one.
