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Nitella [24]
3 years ago
13

Some carpet cleaning costs are 1 room for $125, 2 rooms for $175, 3 rooms for $225. and 4 rooms for $275.00.Find and interpret t

he rate of change and the initial value for this situation.
Mathematics
1 answer:
Free_Kalibri [48]3 years ago
8 0
First calculate the hourly rate, which is the difference of cleaning 2 and 1 rooms:
175-125=50

then calculate the initial value by subtracting the hourly rate from the "1 room" cost:
125-50=75

The initial cost might be something like driving to the place (which is only necessary once), while the rate covers work time or cleaning utensils used.
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Wegnerkolmp or someone who can explain maths please<br> I need a proper explanation
umka2103 [35]

Answer: 66 degrees

Explanation:

Check out the attached image below. Figure 1 is the original image without any additions or alterations. Then in figure 2, I extend segment BC to form a line going infinitely in both directions. This line crosses segment DE at point F as shown in the second figure.

Note how angles ABC and DFC are alternate interior angles. Because AB is parallel to DE (given by the arrow markers) this means angle DFC is also 24 degrees

Focus on triangle DFC. This is a right triangle. The 90 degree angle is at C.

So we know that the acute angles x and 24 are complementary. They add to 90. Solve for x

x+24 = 90

x+24-24 = 90-24

x = 66

That is why angle CDE is 66 degrees

6 0
3 years ago
Graph the solution to the following system of inequalities: <br> 7x +4y&gt;=-12<br> -3x+4y&lt;4
Sati [7]
Wow you are doing great sweetie keep up the good work but the answer is 7-1+510
6 0
2 years ago
The larger of two consecutive odd integers is three times the smaller. What is their sum?
Darya [45]
X=y+2
x=3y
2x=4y+2
4y+2=2(y+2)
4y+2=2y+4
2y+2=4
2y=2
y=1
x=3
1+3=4

Their sum is 4

Hope this helps :)
4 0
3 years ago
The sum of 3 consecutive even numbers is 51. What is the smallest of the set. Let n represent the smallest of number of the set.
Alexxandr [17]
N+(n+2)+(n+4)=51


Which isn't possible because an even plus an even equal even!
6 0
3 years ago
Pythagorean theorem and Converse; find the value of x.
statuscvo [17]

Answer:

x = 12.206555

Step-by-step explanation:

10^2 + 7^2 = 149

Sqrt(149) = 12.206555 = x

x ≈ 12.2, 12

5 0
3 years ago
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