Answer: the greatest number of courses for which miranda can register is 2
Step-by-step explanation:
Let x represent the number of courses for which Miranda can register.
If her college charges a $90 registration fee for the term plus $475 per course, it means that the total amount that the college charges for x courses would be
475x + 90
Miranda’s financial aid stipulates that her tuition not exceed $1200(it must be at most $1200). This means that
475x + 90 ≤ 1200
475x ≤ 1200 - 90
475x ≤ 1110
x ≤ 1110/475
x ≤ 2.34
Answer: 1
Step-by-step explanation:
Let the number be p
75% of P= 3/4
75/100 of P = 3/4
0.75P =3/4
Cross multiply
0.75p×4=3
0.3p=3
P=3/0.3
P= 1
Therefore 75% of 1 = 3/4
Answer:


Step-by-step explanation:
<h3><u>Question 6</u></h3>
To find the greatest common factor (GCF), first list the prime factors of each number:
- 42 = 2 × 3 × 7
- 60 = 2 × 2 × 3 × 5
42 and 60 share one 2 and one 3 in common.
Multiply them together to get the GCF: 2 × 3 = 6.
Therefore, 6 is the GCF of 42 and 60.
Divide the numerator and the denominator by the found GCF:

<h3><u>Question 7</u></h3>
To find the greatest common factor (GCF), first list the prime factors of each number:
- 80 = 2 × 2 × 2 × 2 × 5
- 272 = 2 × 2 × 2 × 2 × 17
80 and 272 share four 2s in common.
Multiply them together to get the GCF: 2 × 2 × 2 × 2 = 16.
Therefore, 16 is the GCF of 80 and 272.
Divide the numerator and the denominator by the found GCF:

To find the amount he spent on bags of mulch you must take the cost of the shovel away from the total, giving the equation:
46.16-14.75=3.49x
To covert this to whole numbers, multiply by 100
4616-1475=349x
3141=349x
x=9