Step-by-step explanation:
Given
7x + 1 = 9x - 7
9x - 7x = 1 + 7
2x = 8
x = 8 / 2
x = 4
Hope it will help :)❤
Divide the total portion (9 1/2 cups) by the portion size (3/4 cup).
=9 1/2 ÷ 3/4
convert 9 1/2 to improper fraction
=19/2 ÷ 3/4
to divide fractions, multiply by the reciprocal/inverse of 3/4
=19/2 * 4/3
multiply numerators; multiply denominators
=(19*4)/(2*3)
=76/6
=12.666666
ANSWER: The greatest number he can offer servings to is C) 12
Hope this helps! :)
Answer:
(a) 120 choices
(b) 110 choices
Step-by-step explanation:
The number of ways in which we can select k element from a group n elements is given by:

So, the number of ways in which a student can select the 7 questions from the 10 questions is calculated as:

Then each student have 120 possible choices.
On the other hand, if a student must answer at least 3 of the first 5 questions, we have the following cases:
1. A student select 3 questions from the first 5 questions and 4 questions from the last 5 questions. It means that the number of choices is given by:

2. A student select 4 questions from the first 5 questions and 3 questions from the last 5 questions. It means that the number of choices is given by:

3. A student select 5 questions from the first 5 questions and 2 questions from the last 5 questions. It means that the number of choices is given by:

So, if a student must answer at least 3 of the first 5 questions, he/she have 110 choices. It is calculated as:
50 + 50 + 10 = 110
The value of 7 is 7 because it is in the ones place
Answer:
b. more money
Step-by-step explanation:
Randy's original position lets him make:
50*500 = $25,000
The new position will let him make:
$27,500
Therefore,
original position < new position = $25,000 < $27,500