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.

Answers

Answer 1

Answer:

incorrect, correct answer is 4√2

Step-by-step explanation:

When you remove the square root You will have to remove them completely. so that the inside of the square root cannot be removed any more numbers (I'm not good at English but I hope u understand what I want u to know :)))

√32 = √2×2×2×2×2

Match 2 identical numbers one at a time and bring them out. ;

√32 = 2×2√2

√32 = 4√2 correct answer!

find you If you want to check if your square root removal is correct or not. Multiply the answer you have given by itself, for example:

4√2 × 4√2 = 16×√4 = 16×2 = 32 correct!

hope it helps you <3

Answer 2

She had taken 2 outside without consideration of square root. And the correct value of √32 is 4√2.

What is an irrational number?

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

Jaclyn estimates the square root of 32 in the following way:

√32 = 2√16 = 2 ∗ 4 = 8

a)  She had taken 2 outside without consideration of square root.

b)  The √32 is correctly solved below.

[tex]\sqrt{32} = \sqrt{2*2*2*2*2} = 2*2*\sqrt2=4\sqrt2[/tex]

Then the correct value of √32 is 4√2.

More about the irrational number link is given below.

https://brainly.com/question/9466779


Related Questions

How can you visually compare data from two samples that are displayed in box plots?

Answers

Answer:

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

The deli scale weighs meat and cheese in hundredths of a pound. Sam put 5/10 pound of pepperoni on the deli scale. What weight does the deli scale show?

Answers

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

What is the surface area of the square pyramid?

Answers

Answer:

108.82

Step-by-step explanation:

please help me asap.

Answers

Answer:

a=8.8 kg

b=3.3 kg

c=2.49 kg

Step-by-step explanation:

A=8.8kg
B= 3.3kg
C=2.49kg

FIRST TO ANSWER GETS BRAINLIEST

Answers

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.

The volume of this cone is 1,017.36 cubic inches. The radius is 9 inches. What is the height of this cone?

Answers

Answer:

12

Step-by-step explanation:

Find the circumference of the circle. Use 3.14 or for . Round to the nearest tenth if necessary.
a helicopter pad with a diameter of 192 yards

Answers

Answer:

The circumference is equal to 602.88

Step-by-step explanation:

64+25220 Find the volume of each figure. Round your answers to the nearest whole, if necessar 20) 19) 5 yd 7 yd 8 yd 5 cm 6 cm 4 cm 8 yd 7 yd 4 cm 6 cm 3 con sum​

Answers

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

What is the area of the figure below?

40[tex]mm^{2}[/tex]
88[tex]mm^{2}[/tex]
80[tex]mm^{2}[/tex]
96[tex]mm^{2}[/tex]

Answers

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

if you were to roll the dice one time what is the probability it will NOT land on a 4?

Answers

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

A gallery planner creates a scale model of a gallery with a scale of 2 inches = 7feet. If the scale model of the gallery measures 24 inches long, how many feet long is the actual gallery?

Answers

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.

What is a scale factor?

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:

https://brainly.com/question/25722260

Can someone please help me.

Answers

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

Felix and Julyssa are computing 3 + 4 x 4. Feliz says the answer is 28. Julyssa says the answer is 19. Who is right? Explain.

Answers

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

Julyssa is right.
We know this because in bidmas, multiplication comes first, so 4 x 4 is done first.
So 4 x 4 = 16
And 16 + 3 = 19

You have 5 green marbles, 6 red marbles, 1 white marble and 3 yellow marbles in a bag. What is the probability of selecting a non-white ball?

Answers

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:

Angles Sand T are vertical angles. If angle S has a measure of (x−2)∘, and angle T has a measure of 40∘, what is the value of x?

Answers

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

What is mean by Angle?

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:;

https://brainly.com/question/25716982

#SPJ3

What is the value of x in the equation 6(x+7.8) =−12?

Answers

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:

First we distribute.6x+46.8=-12Subtract 46.8 on both sidesWe are left with 6x=-58.8Divide 6 on both sidesX=-9.8

A counter recorded 254 revolutions of the bicycle wheel diameter 5/4 how far did bicycle travel use 22/7 for pi

Answers

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:
brainly.com/question/14283575

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."

Can anyone pls help?

Answers

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:

brainly.com/question/2972832

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

14. Classify Each Angle Pair then find the value of X

Answers

Set the two equation equal to each other to solve for x. Angles are acute because they are less than 90 degrees.

ASAP question!
There are four sixth graders and seven seventh-graders in Elsa's chess club. Two members of the club will be chosen at random to attend a tournament with several other chess clubs.
What is the theoretical probability of randomly drawing two sixth graders? What is the theoretical probability of randomly drawing two seventh graders?

Answers

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

interpreting negative number part 1

Answers

the answer is C because its the right choice

Roger gets $40 per day as wages and $4.50 as commission for every pair of shoes he sells in a day. His daily earnings goal is $112.

Write an equation to determine how many pairs of shoes, p, Roger must sell in a day to meet his daily earnings goal.

Find the number of pairs of shoes he must sell to meet his daily earnings goal.

Answers

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

Rodger must sell a total of 16 shoes

Each group of words is a clause from the passage with capitalization and punctuation removed. Decide which type of clause each group of words is. Drag each clause to the correct box.

Answers

(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?

Independent clause: a sentence/phrase that has a subject and verb that can stand as its own sentence and can express a complete thoughtDependent clause: a group of words that can't stand as its own sentence or express a complete thought

*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:

the students were excited: this is an independent clause. It has a subject [the students] and a verb [were] and when read aloud, it sounds like a complete sentencebecause they were going spelunking: this is a dependent clause. Although it has a subject [they] and a verb [were going] it sounds incomplete and is missing a phrase before 'because' to complete the sentence.when they entered the cave: this is a dependent clause. It has a subject [they] and a verb [entered]. but there is no phrase following this clause to complete the sentencethey used flashlights: this is an independent clause: It sounds and is written as a complete sentence.

A recipe calls for 2 fluid ounces of cooking oil. Nadine measures the oil into a measuring cup to the 14-cup mark.
Did Nadine pour the correct amount of oil?

A. No, she poured 1 ounce too much.


B. No, she poured 1 ounce too little.


C. No, she poured 0.5 ounce too little.


D. Yes, she poured the correct amount.

Answers

Answer:

D

Step-by-step explanation:

i answered from plato

i believe the correct answer is D :)

The quantities x and y are proportional.

x y
12 36
18 54
25 75
Find the constant of proportionality (r)left parenthesis, r, right parenthesis in the equation y= r x
r= equals

Answers

Answer:3

Step-by-step explanation:

36/12=3

54/18=3

75/25=3

Add. Write your answer in simplest form.
5 3/4+ 2 11/12
I will mark you Brainliest for fastest answers.
(Please use your own words, and no links to answers please!)

Answers

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)

Simplify:

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

brainliest if its right

Answers

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:

helppp ive tried this 800 times i swearr

Answers

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:

Are multiplication and division of unit fractions related? Describe the relationship you see.


note: PLEASE MAKE ANSWER LONG BC IT CANT BE SHORT

Answers

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.

For one, we could multiply 2 and 4 to get 8.For two, we could see what 2 and 4 both multiply by. In this case 8.

Then we would need to divide 2 and 1.

1 can go into 2 twice. 1+1 is 2.Then we multipy to find our denominator (this is a example of using multiplication with divison). 2x4 is 8. So the fraction would be 2/8.

Simplify.

Find the GCD (or HCF) of numerator and denominator GCD of 2 and 8 is 2Divide both the numerator and denominator by the GCD 2 ÷ 2 / 8 ÷ 2Reduced fraction: 1 / 4 Therefore, 2/8 simplified to lowest terms is 1/4.

Simplified you'd get 1/4.

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

Hope this helps!

Please give brainliest.

Please answer i need help

Answers

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

Explanation:

What we know:

1 mile is equal to 5,280 feetThe length of the fence is 1/4 mileThe width of the fence is 1/8 mile

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.

Process:

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

Answer: The first proportion

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.

Other Questions
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