The inequality should read:
Subtract 2 from all the terms:
Divide all the terms by -5 to get x by itself (note that you flip the inequality signs as you divide by a negative):
The inequality is 2 ≤ x < 8.
A closed dot represents ≤, and an open dot represents <. Since x can represent all values between 2 and 8, you will shade in between 2 and 8 on the number line. x is greater than or equal to 2, so there will be a closed dot on 2. x is less than 8, so there will be an open dot on 8.
The answer is 'number line with a closed dot on 2 and an open dot on 8 and shading in between'.
2304 cubic inches. You multiply the length, width, and base
Answer:
Each bag originally had 35 pieces of candy
Step-by-step explanation:
Since the bags are identical, Let them Number of candies in each bag sue had be x. Thus, she had 5x candies. Since she lost 25 pieces, then she now has;
5x - 25 candies left.
We are told that Ted had 4 bags with the same number of candies like Sue had. Thus, he has 4x candies.
He mysteriously found 10 additional pieces. Total Ted now has is;. 4x + 10
Finally, we are told that Sue and Ted now have an equal number of candies.
Thus;
5x - 25 = 4x + 10
Rearranging, we have;
5x - 4x = 25 + 10
x = 35
Thus, each bag originally had 35 pieces of candy
14 because you started with 2 and you have 7 weeks in a month. So 2*7=14
The length of hours Gilbert drove is 7.5 hours.
The length of hours Brian drove is 4.1 hours.
<u>Step-by-step explanation</u>:
- Gilbert averaged = 45 miles per hour
- Brain averaged = 65 miles per hour
- Total hours = 11.6 hours
- Total distance = 604 miles
Let 'x' be the hours Gilbert drove.
Let 'y' be the hours Brian drove.
x+y = 11.6 -----(1)
45x+65y = 604 -----(2)
Multiply (1) by 45 and subtract (2) from (1)
45x+45y = 522
-(<u>45x+65y = 604</u>)
<u> -20y = -82 </u>
y = 82/20
y = 4.1 hours
The length of hours Brian drove = 4.1 hours
Substitute y=4.1 in (1)
x+4.1 = 11.6
x = 7.5 hours
The length of hours Gilbert drove = 7.5 hours