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Naya [18.7K]
3 years ago
9

WILL MARK BRAINLEIST PLEASE HURRY

Mathematics
1 answer:
Marina86 [1]3 years ago
5 0

Answer:

<h3>The reason which is incorrect is in Step 2 and reason 2</h3>

Step-by-step explanation:

Given that Logan's equation is \frac{3}{2}\times (x-10)=50

<h3>To simplify and find the which reason is incorrect :</h3>

Logan's solution and reasoning for solving an equation are shown below:

Step1 \frac{3}{2}\times (x-10)=50

Reason 1: Given

Step2 \frac{3}{2}\times x-10+10=50+10

Reason 2: Addition Property of Equality

Step3 \frac{3}{2}\times x=60

Reason 3: Simplify

Step4 \frac{3}{2}\times x \times (\frac{2}{3})=60\times (\frac{2}{3})

Reason 4: Division Property of Equality

Step5 x=40

Reason 5: Simplify

<h3>The reason which is incorrect is in Step 2 and reason 2</h3><h3>The corrected steps are</h3>

Step1 \frac{3}{2}\times (x-10)=50

Reason 1: Given

Step2 \frac{3}{2}\times (x)-\frac{3}{2}\times (10)=50

Reason 2: Distributive property

Step3 \frac{3}{2}\times x-15=60

Reason 3: Simplify

Step4 \frac{3}{2}\times x-15+15=50+15

Reason 4: Addition Property of Equality

Step5 \frac{3}{2}\times x=65

Reason 5: Simplify

Step6 \frac{3}{2}\times x \times (\frac{2}{3})=65\times (\frac{2}{3})

Reason 6: Division Property of Equality

Step7 x=\frac{130}{3}

Reason 7: Simplify

<h3 />
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Otrada [13]
1: 5,800

2: 112.5 (total weight, divide by 2, subtract 17 lb)

5: .8 (4 divided by 5)

6: \frac{66}{100}

7: 1,728

9: 9 inches

10: 1.2

Sorry I couldn't give you all of them :(

5 0
3 years ago
A rancher has 1000 feet of fencing in which to construct adjacent, equally sized rectangular pens. What dimensions should these
rosijanka [135]

Answer:

The dimensions that will maximize the enclosed area of the pen is 250 ft by 250 ft

Step-by-step explanation:

we have the perimeter as 1000

So the sum of the lengths will be

1000/2 = 500

The dimensions that will maximize these pens will be such that they will have equal values

Mathematically, that will be 500/2 = 250 by 250

5 0
3 years ago
6. Jesse has 25 coins in his pocket, some are quarters, and some are dimes. If he has a
OLEGan [10]

Answer:

17 Quarters, 8 Dimes.

Step-by-step explanation:

17 x .25 = 4.25

8 x .10 = .80

4.25 + .80 = 5.05

5 0
3 years ago
Please help question in the picture
Tems11 [23]

Answer:

Hypotenuse or c = 75 in.

Step-by-step explanation:

The Pythagorean Theorem is as follows:

a^2 + b^2 = c^2 (We know the length of the legs, or a and b, so we can use the formula to find the length of c, or the hypotenuse)

c^2 = 21^2 + 72^2    (Simplify)

c^2 = 5625    (Take the square root of both sides)

c = 75 in.

5 0
3 years ago
The diameter of the larger circle is 10.5 cm. The diameter of the smaller circle is 4.5 cm. What is the approximate area of the
zepelin [54]
Area of the shaded region=area of the larger circle - area of the smaller cirlce.

1) we calculate the area of the larger circle.
diameter=10.5 cm
radius=diameter / 2=10.5 cm/2=5.25 cm
area=πr²=π(5.25 cm)²=27.5625π cm²

2) we calculate the area of the smaller circle:
diameter=4.5 cm
raduys=diameter / 2=4.5 cm/2=2.25 cm
area=πr²=π(2.25 cm)²=5.0625π cm²

3) we calculate the area of the shaded region.
area of the shaded region=27.5625π cm² - 5.0625π cm²=22.5π cm².
22.5π cm²=22.5(3.141592654...) cm²≈70.69 cm²

Answer : 22.5π cm²          or 70.69 cm²
7 0
3 years ago
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