The easiest way to find answers for questions like these is to convert them to improper fractions, solve, and then convert them back to mixed numbers (if the question required it). When we convert these to improper fractions, we have 7/4 and 19/8. We can then find the least common denominator of the 2 so that we can solve. The least common denominator is 8, and since we are multiplying the 4 by 2 to get it there, we must also multiply the 7 by 2. Now we have 19/8-14/8. At this point, we can use simple subtraction to subtract the numerators and get 5/8.
To summarize, Cameron used 5/8 more acid in the second experiment.
Answer:
a = 4
d = a2 - a1
d = 7 - 4
d = 3
an = 43
an = a + (n - 1)d
43 = 4 + (n - 1) 3
43 = 4 + 3n - 3
43 = 1 + 3n
43 - 1 = 3n
3n = 42
n = 42 ÷
n = 14
So, 14th term is 43
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Answer:
11
Step-by-step explanation:
Answer:
7. 
8. l=11cm and w=7 cm
9. 
10. 
Step-by-step explanation:
Question 7.
The given expression is:
Expand the parenthesis using the distributive property:
Group similar terms:
Simplify
Divide both sides by -10
Question 8:
Let the width of the rectangle be; 
The length of the rectangle is 
The perimeter is given as: 
Given that the perimeter P=36, then:
![36=2[(w+4)+w)]](https://tex.z-dn.net/?f=36%3D2%5B%28w%2B4%29%2Bw%29%5D)
Divide both sides by 2:
Subtract 4 from both sides:
The dimensions of the rectangle is: w=7 cm and l=7+4=11cm
Question 9
Let the number be x.
"5 fewer than the number" is written as 
"5 fewer than a number is at least 12" becomes
Question 10:
Let the number be x.
The quotient of a number and 3 is written as:
The quotient of a number and 3 is no more than 15 is written as;
Answer:
Step-by-step explanation:
The prime factorization of 675 is 3 × 3 × 3 × 5 × 5. The factors of a number, x, are the numbers that multiply together to...
