Answer:
Step-by-step explanation:
The Jones family has saved a maximum of $750 for their family vacation to the beach. It means that whatever they would do during the vacation, they cannot spend more than $750.
The inequality can be used to determine the number of nights the Jones family could spend at the hotel is
750 ≥ 75 + 125h
This can also be written as
75 + 125h ≤ 750
We would solve the inequality for the value of h.
125h ≤ 750 - 75
125h ≤ 675
h ≤ 675/125
h ≤ 5.4
For any value of h greater than 5.4 hours, the inequality will not be true.
Answer:
Not equivalent
Step-by-step explanation:
5:3
15:12 simplified = 5:4
Answer:
5.2 x 10^-2
Step-by-step explanation:
Scientific notation is used to simplify very large or very small numbers.
The formula for scientific notation is (a x 10^ n)
(a) is a number that is both greater than 1 and less than 10
(n) is the number of places the decimal place moves. This number can be positive or negative depending on the number you are converting. If the original number is greater than 1 (n) will be positive, and if the number is less than 1 (n) will be negative.
First you should write out the number.
0.052
Then, you should determine the number places the decimal point must move, and create a number greater than 1 and less than 10. (You should also pay attention to the direction the decimal point moves)
For this problem you will move the decimal place 2 places to the right to create the number 5.2.
Last, substitute the values into the formula. For this problem (a)= 5.2 and (n)= -2. This gives us the expression 5.2 x 10^-2.
Answer:
231/8 simplified is 28 7/8
Step-by-step explanation:
first you have to convert all mixed fractions into improper fractions so 8 1/4 will become 33/4 and 3 1/2 will become 7/2 and then just multiply and you get 231/8 which simplified is 28 7/8
Answer:
17
Step-by-step explanation:
Eliminating parentheses, we have ...
... 1 - 5q +2·2.5q +2·8
... = 1 -5q +5q +16 . . . . . carry out the multiplication
... = q(-5+5) +(1 +16) . . . . group like terms
... = q·0 +17 . . . . . . . . . . . combine like terms
... = 17
