Answer:
Step-by-step explanation:
Let x = the number of bottles of paint that Carmen can buy
Let y = the number of boxes of colored pencils that Carmen can buy
A bottle of paint costs $2
A box of colored pencils costs $3.50
She can spend no more than $42 on art supplies. This means
She can buy bottles of paint worth 2×x = $2x
She can buy boxes of colored pencils
worth 3.5 × y = $3.5y
Since the total amount she can spend cannot exceed $42, the equation becomes
2x + 3.5y lesser than or equal to 42
This is shown in the attached photo
b) three different solutions to the inequality would be three different possible values that x and y can take. These are
x = 7 while y = 8
x = 10 while y = 6
x = 14 and y = 4
Answer:
Step-by-step explanation:
The given expression is
This is in the form;
Rewrite to get
We split the middle term to obtain;
Factor to get;
Factor further to get;
We simplify further to get;
Answer:
(5a+4c)(2a-b)
Explanation:
Given the expression:
First, group the expression into two:
• In the first group, 5a is a common factor.
,
• In the second group, 4c is a common factor.
Factor these out by dividing each term by the GCF of each group.
Since the terms inside the brackets are the same, combine:
CHECK
To check if your result is correct in cases like these, expand as follows:
Our result is the same as the original question, hence, the work is correct.
Answer:
c. 7.527
Step-by-step explanation:
We know that 78 percent of the bar is gold and the total weight is 9.65 ounces. Just multiply the total weight by 78%.
9.65(0.78)=7.527
47 is an irrational number