Mrs. Ishimitsu is installing a rubber bumper around the edge of her coffee table. The dimensions of the rectangular table are (2x2 – 16) feet and (–x2 + 4x + 1) feet. Which expression represents the total perimeter of the table, and if x = 3, what is the length of the entire rubber bumper?
Answers
Answer:
P = 2x² + 8x - 30
P = 12 (if x = 3)
Step-by-step explanation:
Perimeter Formula: 2l + 2w
Step 1: Find perimeter
2(2x² - 16) + 2(-x² + 4x + 1)
4x² - 32 - 2x² + 8x + 2
2x² + 8x - 30
Step 2: Plug in x = 3
2(3)² + 8(3) -30
18 + 24 - 30
42 - 30
12
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Pls help will mark as brainliest
hydrogen in moles per liter. If the pH of
Bill's swimming pool is 7.8 and the pH of
Maura's swimming pool is 7.2, whose
pool has a greater concentration of
hydrogen? How many times greater is it?
Answers
Answer:
- Maura's
- 4 times
Step-by-step explanation:
The logarithm function is monotonic with a positive slope everywhere. So, the logs of numbers are in the same order as the numbers themselves. pH is the negative of the logarithm, so the pH values are in the reverse order of the numbers themselves.
Maura's pool has a lower pH, so will have a higher concentration of hydrogen ions.
The log of a ratio is the difference of the logs. Here, the difference of the logs is 7.8 -7.2 = 0.6, so the ratio of H+ concentrations in the two pools is ...
10^0.6 ≈ 4.0
Maura's pool has 4× the H+ concentration of Bill's pool.
Answers
Answer:
The Answer is: There are 5 large boxes and 8 small boxes. (The graphical plot will need to be solved using the software).
Step-by-step explanation:
Let xx = small boxes and yy = large boxes:
xx + yy = 13
xx = 13 - yy
The number of small boxes times 20, plus the number of large boxes times 40 is equal to 360:
20xx + 40yy = 360
Substitute the algebraic value of xx, so we only have one variable to consider and solve for yy:
20(13 - yy) + 40yy = 360
260 - 20yy + 40yy = 360
260 + 20yy = 360
20yy = 100
yy = 100 / 20 = 5 large boxes.
Solve for xx:
xx = 13 - yy
xx = 13 - 5 = 8 small boxes.
There are 5 large boxes and 8 small boxes. (The graphical plot will need to be solved using the software).
Proof:
20xx + 40yy = 360
20(8) + 40(5) = 360
160 + 200 = 360
360 = 360
Final answer:
To solve the problem graphically, set up a system of equations: x + y = 13 and 20x + 40y = 360. Graph the equations to find the intersection point which represents the solution.
Explanation:
To solve this problem graphically, we can set up a system of equations based on the given information. Let's denote the number of small boxes as x and the number of large boxes as y. From the given information, we can write the following equations:
x + y = 13 (equation 1, representing the total number of boxes)
20x + 40y = 360 (equation 2, representing the total number of books)
To graph these equations, we can plot them on a coordinate plane, where the x-axis represents the number of small boxes (x) and the y-axis represents the number of large boxes (y). The intersection point of these two lines will represent the solution to the system of equations, giving us the values of x and y (the number of small and large boxes sent, respectively).
Learn more about Graphical solution of a system of equations here:
#SPJ2
Answers
26 people would prefer vanilla out of 86 people
Step-by-step explanation:
The percentage is calculated by multiplying the quantity with rate of percentage
Given
Total people surveyed = 86
We have to calculate the number of people who prefer vanilla
The percentage of people who prefer vanilla = 30%
So,
Rounding off to the nearest whole number: 26
So,
26 people would prefer vanilla out of 86 people
Keywords: Percentage Percent
Learn more about percentage at:
#LearnwithBrainly
Answer:
26 people would prefer vanilla out of 86 people
Step-by-step explanation:
The percentage is calculated by multiplying the quantity with rate of percentage
Given
Total people surveyed = 86
We have to calculate the number of people who prefer vanilla
The percentage of people who prefer vanilla = 30%
So,
Rounding off to the nearest whole number: 26
So,
26 people would prefer vanilla out of 86 people
Hope this helped! :3
Answers
Answer:
Hims is bringing hair loss and erectile dysfunction solutions to a more ... Silicon Valley wants to fix everything from food waste to your ... There's a new subscription service called Hims out to address the
Step-by-step explanation:
Hims is bringing hair loss and erectile dysfunction solutions to a more ... Silicon Valley wants to fix everything from food waste to your ... There's a new subscription service called Hims out to address the
What is the area of the piece of red paper after the hole for
the photograph has been cut?
O
17 square units
25 square units
39 square units
47 square units
Answers
Answer:
25
Step-by-step explanation:
The photograph is most likely a square.
Answers
Answer:
Western U gets 20 million
Norther U gets 40 million
Eastern U gets 50 million
Step-by-step explanation:
We need to find the amount each university gets.
Let
Northern U get n
Western U get w
Eastern U get e
We can write equations from the given word problem:
n + w + e = 110
and
n = 2w
e = n + w - 10
Putting 2nd in 3rd, we get:
e = 2w + w - 10
e = 3w - 10
Now putting this and 2nd in first, we solve for w:
n + w + e = 110
2w + w + 3w - 10 = 110
6w = 120
w = 20
AND n = 2 (20) = 40
AND e = 3(20) - 10 = 50
So,
Western U gets 20 million
Norther U gets 40 million
Eastern U gets 50 million