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Agata [3.3K]
3 years ago
15

What is the distributive property of 4+5(×+9)=51 ?

Mathematics
1 answer:
igomit [66]3 years ago
4 0
Answer = 2/5

Work:
5(x+9)=47
X+9=47/5
X=47/5 - 9
X= 2/5
You might be interested in
Find the area of the shaded region .
Greeley [361]

Calculate area of the white region inside circle.

Area of the two white triangles in top left and bottom right:

2 \cdot \frac{1}{2}(6)(6) = 36 ft^2

Area of the two white quarter circles in the bottom left and top right:

2 \cdot \frac{1}{4}\pi (6)^2 = 18\pi ft^2

Total area of unshaded white region inside circle:

(36 + 18\pi)ft^2

Area of entire circle including the white and shaded regions

\pi(6)^2 = 36\pi ft^2

Area of shaded region is area of entire circle - area of unshaded white region

36\pi - (36 + 18\pi) = (18\pi - 36) ft^2

7 0
2 years ago
The cost C, in dollars, to have medical records transcribed is a function of time, t in hours. A physician's group spends C(t) =
Contact [7]

Answer:

B. $39550

Step-by-step explanation:

The expression for the function is not well-formatted, find the correct format in the solution bellow

Step one:

given data

We are told that the function of the cost is

C(t) = 0.04t^3- 0.1t^2 + 5.5t

instantaneous rate c(t) is the value obtained when we plug in 100 for t in the function above

substituting we have

C(t) = 0.04(100)^3- 0.1(100)^2 + 5.5(100)\\\\\C(t) = 0.04*1000000- 0.1*10000 + 5.5*100\\\\C(t) = 40000-1000+550\\\\C(t) = 39550

$39550

3 0
2 years ago
Which is an equation of a direct proportion
Over [174]
K = y/x OR y = kx

hope it helps!
6 0
2 years ago
The question is shown in the picture
Masteriza [31]
20 + 25(times the number of hours) = 282.50
You add the 20 because of the one time service fee.

Now lets work this out.
20 + 25x =282.50
25x = 262.50   (subtract both sides by 2 to get the x's alone)
x = 10.5    (divide both sides by 25 to get just x)
x = 10.5 hours

So the answer is A.
3 0
3 years ago
Read 2 more answers
Point c is the center of dilation. line segment b a is dilated to create line segment b prime a prime. the length of c a is 4. t
pychu [463]

The scale factor of the dilation of line segment ba for which the center of dilation is C, is 5.

<h3>What is the dilation of the figure?</h3>

Dilation of a figure, means the transformation of the figure. The factor by which the given figure dilated, called the scale factor of dilation.

Point c is the center of dilation. Line segment BA is dilated to create line segment b prime, a prime.  The image of the given problem is attached below. The length of CA is 4.

CA=4

The length of a prime is 16.

AA'=16

The new dimension will be,

CA'=CA+AA'\\CA'=4+16\\CA'=20

Now, the scale factor is the ratio of the new dimension to the original dimension. Thus, the scale factor of the dilation is,

r=\dfrac{20}{4}\\r=5

This will be the same for the line segment BA. Thus, the scale factor of the dilation of line segment ba for which the center of dilation is C, is 5.

Learn more about the dilation of the figure here;

brainly.com/question/3457976

8 0
2 years ago
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