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sweet-ann [11.9K]
3 years ago
6

Sandra is showing her work in simplifying (3.3 − 4.2) − 2.8 + 5.7. Identify any error in her work or reasoning. Step 1: (3.3 − 4

.2) − 2.8 + 5.7 Step 2: 3.3 + (− 4.2 − 2.8) + 5.7 (distributive property) Step 3: 3.3 − 7 + 5.7 Step 4: 3.3 + 5.7 − 7 (commutative property) Step 5: 9 − 7 = 2
Mathematics
2 answers:
julsineya [31]3 years ago
8 0
The answer is correct 
but I think in step 2 that should read the Associative property
Mariana [72]3 years ago
3 0

Answer:

Sandra makes an error in second step reasoning .

Step-by-step explanation:

We are given that Sandra is showing her work in simplifying

(3.3-4.2)-2.8+5.7

We have to find the error in her work or reasoning.

Step 1:(3.3-4.2)-2.8+5.7

Step 2:3.3+(-4.2)-2.8)+5.7

Reason: Associative property

Step 3:3.3-7+5.7

Step 4:3.3+5.7-7

Reason: Commutative property

Step 5:9-7=2

Hence, Sandra makes an error in second step reasoning .

Sandra uses distributive property instead of associative property in step 2.

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Henry constructed circle A with a radius of 4 units. He then created a sector as shown in the figure below. Which of the followi
Ksivusya [100]

Answer: option D is the correct answer

Step-by-step explanation:

The shaded portion of the circle is the smaller sector whose radius is the same as the radius of the circle which is given as 4 units. The sector is always bounded by two radii with a common point which is the center of the circle and forming an angle at that point. The given sector forms an angle of 45 degrees.

Area of a sector is expressed as

#/360 × π × r^2 and # is in degrees

Therefore, area of the shaded portion or sector = 45/360 × π × 4^2

= 45/360 × 16π

= 45/360 (16π)

4 0
3 years ago
3) What is the greatest common factor of 5x7, 30x4, and 10x3?
saveliy_v [14]
30 is the greatest common factor I think
6 0
3 years ago
Read 2 more answers
PLS HELP ILL GIVE BRAINLIEST
inysia [295]
<h3>Answer:   14x - 8</h3>

=======================================================

Explanation:

I'll use the quadratic formula to find the roots or x intercepts. This slight detour allows us to factor without having to use guess-and-check methods.

The equation is of the form ax^2+bx+c = 0

  • a = 12
  • b = -11
  • c = -5

This leads to...

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-11)\pm\sqrt{(-11)^2-4(12)(-5)}}{2(12)}\\\\x = \frac{11\pm\sqrt{361}}{24}\\\\x = \frac{11\pm19}{24}\\\\x = \frac{11+19}{24} \ \text{ or } \ x = \frac{11-19}{24}\\\\x = \frac{30}{24} \ \text{ or } \ x = \frac{-8}{24}\\\\x = \frac{5}{4} \ \text{ or } \ x = -\frac{1}{3}

Now use those roots to form these steps

x = \frac{5}{4} \ \text{ or } \ x = -\frac{1}{3}\\\\4x = 5 \ \text{ or } \ 3x = -1\\\\4x - 5 =0 \ \text{ or } \ 3x+1 = 0\\\\(4x-5)(3x+1) = 0

Refer to the zero product property for more info.

Therefore, the original expression factors fully to (4x-5)(3x+1)

Use the FOIL rule to expand it out and you should get 12x^2-11x-5 again.

----------------------------------------------

We did that factoring so we could find the side lengths of the rectangle.

I'm using the fact that area = length*width

  • L = length = 4x-5
  • W = width = 3x+1

The order of length and width doesn't matter.

From here, we can then compute the perimeter of the rectangle

P = 2(L+W)

P = 2(4x-5+3x+1)

P = 2(7x-4)

P = 14x - 8

6 0
2 years ago
Find an ordered pair (x, y) that is a solution to the equation.<br><br> 5x-y=5<br><br> (x, y) = ?
Sonja [21]
Hi there!

There are multiple solutions to your question. Some possible solutions could be the following:
(0, -5)
(1, 0)
(2, 5)
8 0
3 years ago
26,) If y varies inversely as x, and y = 5 as x = 6, find y for the x-value of 10.
melisa1 [442]

Answer:

3

Step-by-step explanation:

the initial statement is  

y ∝ 1 /x

 to convert to an equation multiply by k the constant

of variation

y = k × 1 /x = k /x

to find k use the given condition

y = 5  when  x = 6

y = k/ x ⇒ k = y x = 5 × 6 = 30

y = 30 /x

when  

x = 10

then

y = 30 /10 = 3

4 0
3 years ago
Read 2 more answers
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