The amount of money by which Denny went over is $45
By how many gigabytes did the family exceed their data usage?
The initial plan was for 20 gigabytes, eventually, the family used 24.5 gigabytes in the month, which means the excess amount of data used can be determined thus:
excess data usage=24.5 gigabytes-20 gigabytes
excess data usage=4.5 gigabytes
For each extra gigabyte of data, the family needs to pay $10, which means that the amount of money Denny owes is 4.5 gigabytes multiplied by $10
The amount that he went over=$10*4.5
the amount that he went over=$45
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Answer:
4.25GB
Step-by-step explanation:
To get the answer, you must first turn the percentage into a decimal or a number by moving the imanginary decimal from right to left two times before adding it to the given storage of Model A.
25% = 0.25
So, the 25% now becomes 0.25 and can now be added to 4.
4 + 0.25 = 4.25
Thus, the answer will be 4.25GB. Model B has a storage of 4.25GB.
Well to find this answer, you would have to know the formula of a line, or also known as slope intercept form-- "y= mx+b"
1) Let's find the slope between the two points! (Use the y1-y2 over x1-x2 slope formula)
y1-y2
-------- = slope formula. Use the points 2,8 and 4,12
x1-x2
12-8 4 2
------ = ---- = ----- = our slope is 2!
4-2 2 1
^---- Here we simplify
2) Now we know our slope is 2! Substitute this into the y=mx+b formula
y=2x+b
3) Take one of the points we used for finding the slope and substitute it into our slope-intercept formula. That way we can solve for "b", our y-intercept.
y=2x+b
8= 2(2)+b MULTIPY
8= 4 +b
-4 -4 SUBTRACT (inverse operations)
----------
4=b SIMPLIFY (our final answer)
4) Now we know our y-intercept! Substitute it into the slope-intercept form to get our line.
y=2x+b
y=2x+4
5) Check your work by taking one of the points from above and substitute again!
y=2x+b
12= 2(4)+4
12= 8+4
12=12
Our equation works!
Answer:
9 3/7
Step-by-step explanation:
4 2/7 = 30/7
2 1/5 = 11/5
30/7 x 11/5 = 330/35
330/35 simplified is 9 3/7
Answer: x² - 5x - 14
Step-by-step explanation: Start with the formula for the area of a rectangle.
Area = length x width
To multiply these two binomials, let's use the F.O.I.L. method.
The product of the first terms is x².
The product of the outer terms is -7x.
The product of the inner terms is 2x.
The product of the last terms is -14.
So we have x² - 7x + 2x - 14 which simplifies to x² - 5x - 14.
