Jaclyn estimates the square root of 32 in the following way:
√32 = 2√16 = 2 ∗ 4 = 8
(a) Explain why her reasoning is incorrect.
(b) Rewrite the problem and solve it correctly. Clearly show your work.

Answer :D

8 [tex]\frac{2}{3}[/tex] (8 2/3)

Question explanation:

5 [tex]\frac{3}{4}[/tex] +  2 [tex]\frac{11}{12}[/tex] = [tex]\frac{26}{3}[/tex] = 8 [tex]\frac{2}{3}[/tex]

(5 3/4) + (2 11/12) = (26/3) = (8 2/3)

(5 + 2) + ( [tex]\frac{3}{4}[/tex] + [tex]\frac{11}{12}[/tex] )

(5 + 2) + (3/4 + 11/12)

7 + 3 x 3 + [tex]\frac{11}{12}[/tex]

   (4 x 3)  (11/12)

7 + [tex]\frac{9}{12}[/tex] + [tex]\frac{11}{12}[/tex]

(9/12) + (11/12)

7 + 9 + 11

      (12)

7 + [tex]\frac{20}{12}[/tex]

(7 + 20/12)

7 + (20 ÷ 4)

     (12 ÷ 4)

7 + [tex]\frac{5}{3}[/tex]

(5/3)

7 + 1 [tex]\frac{2}{3}[/tex]  

( 1 2/3)

= 8 [tex]\frac{2}{3}[/tex]

 (8 2/3)

8 [tex]\frac{2}{3}[/tex] = [tex]\frac{26}{3}[/tex] = 8 [tex]\frac{2}{3}[/tex]

(8 2/3) (26/3) (8 2/3)

I hope this finds you well - Answered by Lilo

Answer:

I would say 98% chance

Step-by-step explanation:

if this helps you pls give me brainliest

Answer:

green 5/15

red 6/15

white 1/15

yellow 3/15

the probability of selecting a non-white ball is 14/15

Step-by-step explanation:

Answer:

2 Six graders: 6/55 chance

2 Seventh graders: 21/55 chance

Step-by-step explanation:

Total: 11 students

6 graders: 4

4/11 for first student and 3/10 for second

4/11 * 3/10 = 12/110 = 6/55

7 graders: 7

7/11 for first student and 6/10 for second

7/11 * 6/10 = 42/110 = 21/55

Answer:

if one of the angles measures 70 then the opposite angle will also measure 70 while the neighboring angles will measure 180 - 70

Step-by-step explanation:

hope this help if not please let me now

By definition of vertically opposite angle, the value of x is,

⇒ x = 42

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

We have to given that;

Angles S and T are vertical angles.

And, The angle S has a measure of (x - 2)°, and angle T has a measure of 40°.

Now, We know that;

Vertically opposite angles are equal to each other.

Hence, We get;

⇒ ∠ S = ∠ T

⇒ (x - 2)° = 40°

⇒ x - 2 = 40

⇒ x = 40 + 2

⇒ x = 42

Thus, By definition of vertically opposite angle, the value of x is,

⇒ x = 42

Learn more about the angle visit:;

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Answer:

88mm^2

Sorry for not answering it early I know this answer is probably useless for you now

Step-by-step explanation:

Ok, suppose we were to divide this figure into two parts figure 1 & 2

like this... the picture is goven above

So, we can clearly see that figure 1 is a square as it has equal dimensions

and figure 2 is a rectangle because it should given in ur question but this is the only way to find out the area

So in figure 1 the dimensions are already give that the square is 8mm and on the other hand in figure 2 it is a rectangle, here only length is given - 6mm but width is not given. To find out the width it's simple, since the base of figure 1and2 is 12mm and the base of figure 1 is 8cm we can subtract it to get there rest of the base that is the base of figure 2.

So we get,

Base of figure 2 = Total base - Base of figure 1 = 12mm - 8mm = 4mm

Now since we have the dimensions, we only have to find the area of those two figures and add both areas to get the total are of the whole figure.

Area of figure 1

Area of square = side*side = 8*8 = 64mm^2

Area of figure 2

Area of rectangle = length*breadth = 4*6 = 24mm^2

Total area of the figures

Area of figure 1 + Area of figure 2 = 64mm^2+ 24mm^2 = 88mm^2

Answer:

108.82

Step-by-step explanation:

Answer: If we simplify the given weight of the pepperoni, we divide the numerator by the denominator. The answer to the division is 5/10 or 0.5. Then, since the weight is asked in unit of hundredths, the final answer would be 2.5.Â

Answer:

The circumference is equal to 602.88

Step-by-step explanation:

Answer:Multiplication and division both need to have a common denominator or else you would get an incorrect answer. Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators."

Hii

Yes! They are indeed related.  When dividing fractions, we need multiplication. Say, for example. We need to multiply the reciprocal of the second fraction to the first.  So. If we needed to answer a question like "2/4  divided by 1/2" We would need to find a common denominator. We find common denominators by multiplication. We can do this 2 ways. See below.

Then we would need to divide 2 and 1.

Simplify.

Simplified you'd get 1/4.

(tip, once the numerator hits 1, you can no longer simplify)

Hope this helps!

Please give brainliest.

Answer:

I belive the awnser is B or D

Step-by-step explanation:

if you add 1/8 + 1/4 it is 3/8

B does look like it is in proper format so that may be the answer

(sorry if I was no help)

Answer: The first option

What we know:

How to solve:

     By finding the perimeter of the fence in feet, we can check that value against the 4 proportion options listed in the problem. Whichever is true will be the correct answer.

Perimeter - in feet

Where P is perimeter in miles, x is perimeter in feet, w is width in miles, and L is length in miles.

Set up equation                                                     P = 2w + 2L

Substitute                                                               P = 2(1/8) + 2(1/4)

Simplify                                                                   P = 2/8 + 2/4

Common denominator                                          P = 1/4 + 2/4

Simplify                                                                   P = 3/4 mi.

Translate                                                                x = (3/4)*5280

Simplify                                                                   x = 3960 ft.

For the following: Where m represents the mile unit, f represents the foot unit, and x represents the number of feet of fencing.

First option

Set up equation                                            (3/4)m/x = m/5280f        

Equal variables                                         16[(3/4)m/x) = 12[m/5280f]

Simplify                                                             12m/16x = 12m/63360f

Remove miles                                                          16x = 63360f

Isolate x variable                                                    /16     /16

Solution                                                                       x = 3960 ft.

Second Option

Set up equation                                             (3/8)m/x = m/5280f

Equal variables                                         64[(3/8)m/x] = 24[m/5280f]

Simplify                                                              24m/64x = 24m/126720f

Remove miles                                                            64x = 126720f

Isolate x variable                                                      /64     /64

Solution                                                                          x = 1980 ft.

Third Option

Set up equation                                               x/(3/4)f = m/5280f

Equal variables                                      7040[x/(3/4)f] = m/5280f

Simplify                                                   7040x/5280f = m/5280f

Remove feet                                           7040x = m

Translate                                                 7040x = 5280f

Isolate x variable                                   /7040     /7040

Solution                                                           x = (3/4)f

Fourth Option

Set up equation                                             x/(3/8)f = m/5280f

Equal variables                                  14080[x/(3/8)f] = m/5280f

Simplify                                               14080x/5280f = m/5280f

Remove feet                                        14080x = m

Translate                                              14080x = 5280f

Isolate x variable                                /14080     /14080

Solution                                                         x = 3/8f

Check:

If the perimeter of the fence, in feet, is the first option, then when

x = 3960, the number of miles and feet should be equal. Let's test this.

(3/4)m/x = 1

(3/4)m/3960f = 1

(3/4)(5280f)/3960f = 1

3960f/3960f = 1

1 = 1

Therefore, option 1 is correct.

Answer:

10%

Step-by-step explanation:

The prediction is 10%

The simulation is 1 out of 5.

1 out of 5 = 1/5 = 0.2 = 20%

The difference between 10% and 20% is 10%.

The difference between the simulation and the prediction is 10%.

Answer:

10%

Step-by-step explanation:

Answer:

6.28 meters

Step-by-step explanation:

Circumference = π x Diameter or 2 X π X Radius

3.14 X 2 = 6.28

Answer:

6.28 meters

Step-by-step explanation:

Answer:

The width of the scale model is 33 inches.

Step-by-step explanation:

This question is solved making a relation with the scale model. In the scale, 3 inches are worth 11 real feet.hope this help you.if you need any more help let me now and I mite be abal to help you.

The actual gallery comes to be 84 feet long.

A scale factor is a factor by which the dimension of an object is enlarged or diminished.

Scale of 2 inches = 7feet.

So, a scale of 1 inch = 7/2 feet

So, scale factor =7/2

So, a scale of 24 inches = 24*scale factor= 24*7/2 = 84 feet

So, the actual length of the gallery = 84 feet

Therefore, the actual gallery comes to be 84 feet long.

To get more about scale factors visit:

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Answer:

12

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

i answered from plato

Answer:

19) 280 cm³

20) 120 cm³

Step-by-step explanation:

v= l×w×h

19) 7×5×8 = 280

20) 6×5×4 = 120

Answer:

about 1575 sqaure meters

Step-by-step explanation:

1. Create An equation

Formula Area of trapeziod: 1/2x(b1+b2)xh

1/2x(40+50)x35=Area

1/2x90x35=Area

45x35=Area

Area=1575 because the shape is a trapeziod according to the information in the problem which we can just then use the formula to calculate the area.

Answer:

x = -9.8

Step-by-step explanation:

6(x+7.8) =−12

Divide each side by 6

6/6(x+7.8) =−12/6

(x+7.8) =−2

Subtract 7.8 from each side

x+7.8-7.8 = -2-7.8

x = -9.8

Answer:

-9.8

Step-by-step explanation:

Answer:

5/6 because there is six sides and you take away the 4 .

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

total no.of trials= 6 (because dice has six numbers )chances of not getting 4 is 5

hence the answer is 5/6

(Independent: the students where exited, and they used flashlights)

(Dependent: Because they were going spelunking, and when they entered the cave)

What is are independent and dependent clauses?

*Reading these clauses aloud will help you hear whether or not the sentence sounds complete*

Let's look at each sentence separately to determine which clause they are:

Answer:

a=8.8 kg

b=3.3 kg

c=2.49 kg

Step-by-step explanation:

Answer: Julyssa is right

Step-by-step explanation: According to PEMDAS, multiplication goes first (before) addition so

3 + (4x4)

3 + 16

= 19

PEMDAS

PARENTHESES

EXPONENTS

MULTIPLICATION

DIVISION

ADDITION

SUBTRACTION

Answer:

The median of the 7th grade sample is greater than the 6th grade one. The 7th grade sample has greater variability.

Step-by-step explanation:

Equation to determine how many pairs of shoes :- S = 40 + 4.5x

Where,

S is Earnings

x is Shoe

⇒ 112 = 40 + 4.5x

⇒ 40 + 4.5x = 112

⇒ 4.5x = 112 - 40

⇒ 4.5x = 72

⇒ 4.5x/4.5 = 72/4.5

⇒ x = 16

[tex]\therefore [/tex] Roger must sell 16 shoes per day to meet his daily earning goal

Answer:

The equivalent fractions will be 2:5 ard 12:30.

Step-by-step explanation:

Equivalent fractions simply mean the fractions that are the same or equal.

Based on the information given, the ratios that are equivalent to 4:10 will be:

4/10 = 2/5

12/30 = 2/5

20/8 = 5/2

8/30 = 4/15

Therefore, the equivalent ratios will be 2:5 and 12:30.

Learn more about fractions on:

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Answer:

2 : 5 and 12 : 30

Step-by-step explanation:

you can find if two ratios are equivalent by multiplying or dividing both quantities by the same number.

Hence:

4 : 10 x 3 on both sides = 12 : 30

Also

4 : 10 divided by 2 on both sides = 2 : 5

Making these equivalent

The others don’t qualify since for:

8 : 30

You would have to multiply the 4 in 4 : 10 by 2, and the 10 by 3, so basically it can’t work.

For 20 : 8

You would have to multiply the 4 in 4 : 10 by 5 and yet divide the 10 by 1.25 which definitely doesn’t work because a, the number used to multiply/divide is the same, and b, because both sides have to be multiplied or divided, not just one each.

hope this helps :D

Answer:

In 254 revolutions, the bicycle will travel [tex]997.85m[/tex].

Circumference :
The circumference of bicycle is given as,
[tex]C = \pi d[/tex]
Where [tex]d[/tex] is diameter of bicycle.
Given that, [tex]d = \frac{5}{4}, \pi = 22/7[/tex]
Substitute values in above equation.
[tex]C = \frac{22}{7} * \frac{5}{4}[/tex]
[tex]C = \frac{110}{28} = 3.93[/tex]
In 254 revolutions of the bicycle wheel is, [tex]C = 254 * 3.93 = 997.85m[/tex]
In 254 revolutions , the bicycle will travel [tex]997.85m[/tex]
Learn more about the Circumference of circle here:
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Your question was incomplete. Complete question is here:
"A counter recorded 254 revolutions of the bicycle wheel shown below how far did the bicycle travel. Use 22/7 as pi and the diameter of the wheel is 5/4."

Answer:3

Step-by-step explanation:

36/12=3

54/18=3

75/25=3

Answer:

Radius= 8.99 mm (9 mm)

Step-by-step explanation:

We use the formula for the volume of a cone which is

1/3 pi ×(radius)^2 *height

932.58 = (pi) × (11) ×(r^2/3)

Radius^2 = (932.58×3) / (11pi)

= 80.96m

Radius= 8.99mm

Answer:

volume= 1/3πr²h

932.58=1/3×3.14×r²×11

3×932.58=34.54×r² ×3

3

2,797.74 = 34.54×r²

34.54. 34.54

√r²= √81

r=9mm