Answer:
Tip Amount: $ 17
Tip Each Person: $ 17
Bill Each Person: $ 84
Total (Bill + Tip): $ 101
Total Each Person: $ 101
Step-by-step explanation:
Answer:
0 < x < 3
Step-by-step explanation:
3 < x + 3 < 6
Subtract 3 from all sides
3-3 < x + 3-3 < 6-3
0 < x < 3
Answer: A reflection (Across the y-axis)
Step-by-step explanation:
Transformation possiblitites:
Translation: After plotting the points you gave I came to the conclusion that a translation could not be the right transformation due to the fact that the point would move away the same units on a graph as the original point.
Rotation: The new point doesn't seem when graphed to have rotated, as it remained across from the orignial point on the graph.
Dilation: The new point if dilated wouldn't be in close proximity with the original point.
Answer: We start with the variable "x". Let's call "x" Dan's full tank.
So we know that right now he has 1/3x or 1/3 of a full tank.
After adding 12 gallons, at the end, he has 7/9x, or 7/9 of a full tank
So we start with
(1/3)x + 12 = 7/9x
Let's subtract 1/3x from both sides
12 = 7/9x - 1/3x
Remember, we need to use common denominators to subtract, so 1/3 becomes 3/9
12 = 7/9x - 3/9x
Now we simplify to get
12 = 4/9x
Multiply the reciprocal of 4/9 to both sides which is 9/4
12 * 9/4 = x
Answer is 27 gallons.
Answer:
27/35 is the exact answer
7/10 is an estimate
Step-by-step explanation:
4/7+2/10
Simplify the fraction
4/7+1/5
The common denominator is 35
4/7*5/5 + 1/5 *7/7
20/35 + 7/35
27/35
To estimate
4/7 is close to 1/2
2/10 is close is 1/5
1/2 + 1/5 =
5/10 + 2/10 = 7/10