Simplify 4/16 to lowest terms and find and equivalent fraction that has a denominator of 32

Answers

Answer 1

8/32 is the answer to your problem

Answer 2

The equivalent fraction of given fraction is  [tex]\frac{8}{32}[/tex].

Given fraction is,  [tex]\frac{4}{16}[/tex]

It is observed that both numerator and denominator of given fraction is divisible by 4.

Simplest form of  [tex]\frac{4}{16}[/tex] is,

                          [tex]\frac{4}{16}=\frac{4*1}{4*4} =\frac{1}{4}[/tex]

Equivalent fraction that has a denominator of 32 is,

                  [tex]\frac{1}{4}=\frac{1*8}{4*8}=\frac{8}{32}[/tex]

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Related Questions

which one isn't? anyone know the answer to it​

Answers

B.)greater than five but less than six

Answer:

Greater than 5 and less than 6

Step-by-step explanation:

To find the square root of 34, find the closest perfect squares to it.

The closest perfect squares are 25 and 36

The square root of 25 is 5

The square root of 36 is 6

Therefore, the square root of 34 is greater than 5, and ess than 6.

(It's in between 5 & 6).

Write the absolute value equation if it has the following solutions. Hint: Your equation should be written as |x−b| =c. (Here b and c are some numbers.) Chapter Reference b Two solutions: x=2, x=12.

Answers

Answer

[tex]|x-7|=5[/tex]

Explanation

We know that we need to write our absolute value equation as [tex]|x-b|=c[/tex]. We also know that the solutions must be [tex]x=2[/tex] and [tex]x=12[/tex]. We need to replace those values for [tex]x[/tex] in our absolute value equation, so we can create a system of equations and find the values of  [tex]b[/tex] and [tex]c[/tex].

- For [tex]x=2[/tex]

[tex]|x-b|=c[/tex]

[tex]|2-b|=c[/tex] equation (1)

- For [tex]x=12[/tex]

[tex]|x-b|=c[/tex]

[tex]|12-b|=c[/tex] equation (2)

Now we can solve our system of equations step-by-step:

Step 1. Replace equation (1) in equation (2)

[tex]|12-b|=|2-b|[/tex]

Step 2. Square both sides of the equation to get rid of the absolute values

[tex]|12-b|=|2-b|[/tex]

[tex](12-b)^2=(2-b)^2[/tex]

Step 3. Use the square of a binomial formula: [tex](a-b)^2=a^2-2ab+b^2[/tex] and solve the equation.

For our first binomial, [tex](12-b)^2[/tex], [tex]a=12[/tex] and [tex]b=b[/tex]; for our second binomial, [tex](2-b)^2[/tex], [tex]a=2[/tex] and [tex]b=b[/tex]

[tex](12-b)^2=(2-b)^2[/tex]

[tex]12^2-(2)(12)(b)+b^2=2^2-(2)(2)(b)+b^2[/tex]

[tex]144-24b+b^2=4-4b+b^2[/tex]

[tex]144-24b=4-4b[/tex]

[tex]140=20b[/tex]

[tex]b=\frac{140}{20}[/tex]

[tex]b=7[/tex] equation (3)

Step 4. Replace equation (3) in equation (2) to find the value of [tex]c[/tex]

[tex]|12-b|=c[/tex]

[tex]|12-5|=c[/tex]

[tex]|7|=c[/tex]

[tex]c=7[/tex]

Putting it all together we can conclude that our absolute value equation is [tex]|x-7|=5[/tex]

Answer:Ix-7I=5

Hope this helps lol

If you use 40 linear feet of 12-foot wide carpet to carpet this room, will you have any waste carpet after the installation?
A) Yes, 56 sq. ft
B) Yes, 40 sq. ft.
C) Yes, 24 sq. ft. D)
No, the 12 ft carpet fits exactly

Answers

Answer:

The answer is A) Yes, 56 sq. ft

Step-by-step explanation:

You will have to waste 56 sq. ft . The total area of the carpet = 40 x 12=480 sq ft - the area of the room (26 x 12) + (8 x 14) = 424 sq ft.

Using the area of rectangle formula to solve the problem. Then the waste of carpet is 56 ft².

What is geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Given

you use 40 linear feet of 12-foot wide carpet to carpet this room.

The room is 26 by 12 and 8 by 14.

The waste carpet after the installation.

We know the area of the formula

Area = Length x width

The area of the carpet will be

area of the carpet = 40 x 12

area of the carpet = 480

The area of the room will be

area of the room = (26 x 12) + (8 x 14)

area of the room = 312 + 112

area of the room = 424

So the waste of carpet will be

waste of carpet = area of carpet -the area of the room

waste of carpet = 480 - 424

waste of carpet = 56

Thus, the waste of carpet is 56 ft².

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Assume that the following events are independent:

• probability that a student is a high school junior is 0.47
• probability that a student is a high school junior and owns a car is 0.14

What is the probability that a student owns a car, given that the student is a high school junior? (round to hundredths)

A)0.07

B)0.30

C)0.33

D)0.61

Answers

Answer:

option B

0.30

Step-by-step explanation:

Given in the question,

probability that a student is a high school junior = P(A) = 0.47

probability that a student is high school junior and owns car = P(A∩B) = 0.14

It is question of conditional probability

Formula to use

Probability = P (A∩B) / P (A)

                  = 0.14 / 0.47

                  = 0.297

                  ≈ 0.30

Answer:

0.30

P(A|B) =

P(A and B)

P(B)

=

0.14

0.47

= 0.29787

Step-by-step explanation:

What is the value of a in the equation 5a - 10a = 45 when b = 3

Answers

Answer:

x=-9

Step-by-step explanation:

B is unnecessary here, so we can ignore it. The first thing we do in this equation is simplify by adding like terms. 5a-10a=-5a. So, the equation is now -5a=45. To solve a, we need it by itself. To do that, we undo the multiplication by diving both sides of the equation by -5. 45 divided by -5 is -9, and then we have x=-9.

a population of 40,000 decreases by 3.1% each year. what is the approximate population in 4 years

Answers

[tex]\bf \textit{Amount of Population Decay} \\\\ A=Pe^{-rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &40000\\ r=rate\to 3.1\%\to \frac{3.1}{100}\dotfill &0.031\\ t=\textit{elapsed time}\dotfill &4\\ \end{cases} \\\\\\ A=4000e^{-0.031(4)}\implies A=40000e^{-0.124}\implies A=\cfrac{4000}{e^{0.124}} \\\\\\ A\approx 35335.194\implies \stackrel{\textit{rounded up}}{A\approx 35335}[/tex]

Amount of population Decay A= Pe^-re

A= accumulated amount

P= initial amount =40000

r=rate ⇒3.1% ⇒ 3.1/100. ⇒0.031

t = elapsed time ⇒ 4

A=40000e ^0.031(4) ⇒A=40000 ^0.124⇒A=40000/e^0.124

A  ≈35335.194 ⇒ A ≈ 35335.(rounded up

What is called population?

The population means is nothing but the average of this group of items. It is basically arithmetic mean of the group and can be calculated by taking a sum of all the data points and then dividing it by the number of items we have in the group.

What is called population?

A population is defined as a group of individuals of the same species living and interbreeding within a given area. Members of a population often rely on the same resources, are subject to similar environmental constraints, and depend on the availability of other members to persist over time.

What is population and its example?

Population is the number of people or animals in a particular place. An example of population is over eight million people living in New York City.

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Randys bicycle tires have a diameter of 42 centimeters. which is the circumference of one of the tires?use 3.14 for pi​

Answers

Answer:

C =131.88 cm

Step-by-step explanation:

We can find the circumference of a circle by using

C = pi * diameter

C = 3.14 * 42

C =131.88 cm

Answer:

131.88 cm²

Step-by-step explanation:

Well,

Here we go:

Circumference of circle or the tire = 2πr = 2 × 3.14 × [tex]\frac{42}{2}[/tex]

                                                                   = 131.88 cm²

Accidentally checked in help me plz!!!!!!

Answers

Answer:

It is 1/4!

Step-by-step explanation:

Because if you 4 1/4 will equal 1 now do that until you reach 16 then add two 1/4 then you will get you answer.

Please mark me as Brainiest.

And please let me know if you got it correct im curious.

Thank You!:)

Glad to Help!

BTW sorry if you did not understant my explanation.

Answer:   4

Step-by-step explanation:

[tex]16^{\frac{1}{2}}=\sqrt{16}=\sqrt{4\cdot 4}=\boxed{4}[/tex]

If a triangle has side lengths of 14, 48, and 50 units respectively, what type of triangle is it?

Answers

Final answer:

By applying the Pythagorean theorem, it's determined that a triangle with side lengths of 14, 48, and 50 units is a right-angled triangle, as the sum of the squares of the two shorter sides equals the square of the longest side.

Explanation:

To determine the type of triangle with side lengths of 14, 48, and 50 units, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

This can be represented by the equation c² = a² + b², where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

In this case, if we consider 50 as the potential hypotenuse (c), and 14 and 48 as the other two sides (a and b), we plug these values into the equation to check: 50² = 14² + 48².

Calculating each side of the equation gives us 2500 = 196 + 2304, which simplifies to 2500 = 2500.

Since both sides of the equation are equal, this confirms that the triangle is indeed a right-angled triangle.

Can someone please help me with these?

Answers

Answer:

Step-by-step explanation:

What is the domain of the relation?

Answers

Answer:

The domain of the relation is [tex][(5,16,18,21][/tex]

Step-by-step explanation:

we have

[tex][(15,65),(21,70),(18,73),(16,62)][/tex]

Remember that

The domain of the relation are the values of x

The range of the relation are the values of y

therefore

The domain is

[tex][(5,21,18,16][/tex]

order them from lowest to highest ------->  [tex][(5,16,18,21][/tex]

The range is

[tex][65,70,73,62][/tex]

order them from lowest to highest ------->[tex][62,65,70,73][/tex]

Is 5 feet greater than 60 inches

Answers

Answer:

equal

Step-by-step explanation:

you can convert 60 into 5 feet

Answer:

No. They are equal to each other.

Step-by-step explanation:

12 inches = 1 foot

5 feet = 12 * 5 = 60 inches

5 feet = 60 inches

Find the value of each variable for the right triangles. Make sure all answers are in reduced radical form. Show your work.

Answers

ok did you get what I solved I hope it's fine by you, if you have a problem with the way I solved it still ask questions ok

Use the order of operations to simplify the following expression. Express your answer in simplest form
1/6 + 3/4divided by 2/3
3/5
1 9/24
1 1/7
1 7/24

Answers

Answer:

Step-by-step explanation:

Conversion a mixed number 8 1/6 to a improper fraction: 8 1/6 = 8 1/ 6  = 8 · 6 + 1/ 6 = 48 + 1/ = 49/6 To find a new numerator: a) Multiply the whole number 8 by the denominator 6. Whole number 8 equally 8 * 6/6 = 48/6

b) Add the answer from the previous step 48 to the numerator 1. New numerator is 48 + 1 = 49

c) Write a previous answer (new numerator 49) over the denominator 6.

Eight and one sixth is forty-nine sixths

Conversion a mixed number 1 7/8 to a improper fraction: 1 7/8 = 1 7/8  = 1 · 8 + 7/8  = 8 + 7/8= 15/8 To find a new numerator:

a) Multiply the whole number 1 by the denominator 8. Whole number 1 equally 1 * 8/8 = 8/8 b) Add the answer from previous step 8 to the numerator 7. New numerator is 8 + 7 = 15

c) Write a previous answer (new numerator 15) over the denominator 8. One and seven eighths is fifteen eighthsDivide: 49/6: 15/8= 49/6· 8/15 = 49·\.8/6 · 15 = 392/90= 2 · 196/=2 · 45= 196/45 Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 15/8 is 8/15) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 2 gives 196/ 45. In other words - forty-nine sixths divided by fifteen eighths = one hundred ninety-six forty-fifths.

a square field has an area of 2000 square feet. to the beat fest foot, how much fencing would be needed to enclose the field

Answers

Answer:

180 feet

Step-by-step explanation:

√2000 = 44.8

44.8 x 4 =  179.2 = 180 feet

The amount of fencing that would be needed to enclose this square field is  178.88 feet.

A square field would have both the length and the width being equal both of them could be represented as x.

Area of a square = Length x Width

2,000 = x × x

x² = 2,000

x = √2,000

x = 44.72 feet

The fencing needs to go around the field which means it needs to go around the field's perimeter.

Perimeter of Square = Length x 4

= 44.72 x 4

= 178.88 feet

In conclusion, 178.88 feet of fencing would be needed.

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what can you tell about the average number of dogs treated by each veterinarian in the past year

Answers

Answer: HOPE THIS HELPS! :D    ;D

On average, A New Leash on Life Animal Clinic treats MORE DOGS PER DAY than No Ruff Stuff Animal Hospital.

Step-by-step explanation:

So the first option would be correct.

The average number of dogs that should be treated should refer to the first option.

Information regarding the average number of dogs:

Since the average number of dogs should be treated so here the new leash on life animal clinic should be treated more dogs per day as compared to no ruff stuff animal hospital. Therefore, the other options are incorrect.

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algebra nation test your self

Answers

Answer:

did you know when u create a number or an equation or anything dealt with math it never stops. A number can go on and on like how a decimal number can go on and on. So why was math ever created?

So you know what to do in your grown-up life

Need help with this please!

Answers

Answer:

[tex]y=x^2[/tex]

Step-by-step explanation:

The given relation is

D={(x,y):(3,9),(5,25),(-2,4)}

We can see that;

[tex]3\to 3^2=9[/tex]

[tex]5\to 5^2=25[/tex]

[tex]-2\to (-2)^2=4[/tex]

Hence in general,

[tex]x\to x^2[/tex]

Therefore the equation for the relation is;

[tex]y=x^2[/tex]

Carlo's wants to use 3 triangles to make a square. can he

Answers

With overlapping, yes. He would need a right triangle and two equilateral triangles. Hope this helps!
Final answer:

Carlo can use 3 triangles to make a square if the triangles are the correct size and type, such as right-angled triangles, whose hypotenuses can form one side of the square.

Alternatively, he could arrange the triangles to cover half the square's area; however, this would require six triangles, not three.

Explanation:

It is theoretically possible for Carlo to use 3 triangles to make a square, but it requires the right types and sizes of triangles.

A square is a geometrical shape with four equal sides and four right angles.

Triangles, on the other hand, have three sides and can have various angles.

If Carlo is using right-angled triangles, he might arrange them in such a way that the hypotenuses form one side of the square and the other sides of the triangles complete the remaining sides of the square.

However, this would need a bit of creative thinking and specific side lengths for the triangles to ensure the sides of the resulting square are equal.

Another way to approach this is by considering the area of the shapes.

By dissecting the square into smaller squares, and further into triangles, if three triangles can be arranged to form a larger triangle that covers exactly half the area of the square, then two sets of such triangles would be required to form the entire square.

x2 + 3x - 4 = 0 Find the value of the discriminant. A) 5 B) 6 C) 10 D) 25

Answers

Answer:

D

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0, then the discriminant is

Δ = b² - 4ac

x² + 3x - 4 = 0 ← is in standard form

with a = 1, b = 3, c = - 4

b² - 4ac = 3² - (4 × 1 × - 4) = 9 - (- 16) = 9 + 16 = 25 → D

The real Empire state building is 1,250 feet high. If Luna is making the model at a scale of 1 foot to 250 feet, how tall will her model be?

Answers

Answer:

5 feet tall!

Step-by-step explanation: Just divide 1,250 by 250 and that is your height

Answer:

Her model will be 5 foot

Step-by-step explanation:

1 foot = 250 feet

250x5=1,250

Two sides of an isosceles triangle have lengths of 3 and 10. Find the length of the third side.

Answers

Answer:

The third side must be 10:  {3, 10, 10}; {10, 3, 3} is not possible.

Step-by-step explanation:

Everything depends on our understanding of "isosceles."

This term indicates that two sides of a given triangle are equal.

If two sides of an isosceles triangle have lengths of 3 and 10, then:

Either 1)  Two sides have length 10 and the third side has length 3.  This is certainly possible

or

2)  sides have length 3 and the third side has length 10.  This is NOT possible, since 3 + 3 adds up to 6, which is less than 10.

The third length is 10 units and the pair of the side lengths is 3, 10, 10.

What is the triangle?

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We have:

Two sides of an isosceles triangle have lengths of 3 and 10

As we know, in the isosceles triangle two sides are equal in length.

10, 3, 3 is not possible they cannot form a triangle.

So the third length is 10 units.

Thus, the third length is 10 units and the pair of the side lengths is 3, 10, 10.

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the sum of two complex numbers where the real numbers do not equal zero results in the sum of 34 i d

Answers

it would be D because it is 34 D

Is this correct on using the mean , median, mode, and range ?

Answers

Answer:

Yes it is the correct "mean" for that

For this right triangle, what is the cosine of angle C?
A) 12/13
B) 13/12
C) 5/12
D) 5/13
50 points, again by 5 pm.
after I completed the activity, I will go through any questions I may have needed help with and Mark those who were correct.​

Answers

Answer:

A  cos C = 12/13

Step-by-step explanation:

cos theta = adjacent side/ hypotenuse

cos C = BC/AC

But we don't know BC, but we can find it using the Pythagorean theorem

a^2 +b^2 = c^2

5^2 +BC^2 = 13^2

25 + BC ^2 =169

Subtract 25 from each side

BC^2 = 169-25

BC ^2 = 144

Taking the square root of each side

BC =12

cos C = 12/13

Emma is 6 years older than max. Max is 3 years old. Talor is 5 year older than emma. How old is Taylor?

Answers

Answer:

Taylor is 14.

Step-by-step explanation:

Max is 3. Emma is six years older than Max.

3+6=9

Emma is 9. Taylor is five years older than Emma.

9+5=14

Answer:

14 yrs old

Step-by-step explanation:

7. Name a pair of adjacent angles. Explain
why they are adjacent.

Answers

Answer:

They are adjacent because they are not paralel

Step-by-step explanation:

Which expression represents the product of 6 and y?
A. 6y
B.6 + y
C.6 − y
D. 6 over y

Answers

I think it is A for this question

I think the answer is B) 6 + y because and usually means add

Find the equation of the line
Use exact numbers
Y=___x+___

Answers

the equation for your answer is y=mx+b

Answer:

[tex]y=-\frac{1}{4} x-6[/tex]

Step-by-step explanation:

Slope-Intercept Form

[tex]y=mx+b[/tex]

y: range

m: slope

x: domain

b: y-intercept

We can see that the line intersects at [tex](0,-6)[/tex], which is the y-intercept. We now have:

[tex]y=mx-6[/tex]

To find the slope, we need to start at the y-intercept. We need to find another nice point we can use. There is a nice point at [tex](4,-7)[/tex]. Start at the y-intercept, go down one unit, and go right four units. By doing that, you just found your slope.

[tex]y=-\frac{1}{4} x-6[/tex]

We know it is negative because as the x values become greater, the y values become less.

Evaluate the expression (65+(1/5•5)+6) divided by 9

Answers

(65+(1/5•5)+6)÷9

=(71+1)÷9

=72÷9

=8

The expression (65+(1/5\u00b75)+6) divided by 9 simplifies to 72 divided by 9, which equals 8.

To evaluate the expression (65+(1/5\u00b75)+6) divided by 9, we need to follow the order of operations, sometimes known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

First, we solve the operation inside the parentheses:

1/5\u00b75 = 165 + 1 + 6 = 72

Now, we divide the result by 9:

72  div 9 = 8

The final answer is 8.

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