The choices are =,>,< and greater than or equal to

The Choices Are =,&gt;,&lt; And Greater Than Or Equal To

Answers

Answer 1

Answer:

We conclude that

[tex]4\frac{2}{3}[/tex]    >   [tex]\sqrt{21}[/tex]

Step-by-step explanation:

Given

[tex]\sqrt{21}[/tex][tex]4\frac{2}{3}[/tex]

as

[tex]\:\sqrt{21}=4.58[/tex]

and

[tex]4\frac{2}{3}[/tex]

Convert mixed numbers to improper fraction:

[tex]a\frac{b}{c}=\frac{a\cdot \:c+b}{c}[/tex]

so

[tex]4\frac{2}{3}=\frac{4\cdot 3+2}{3}=\frac{14}{3}=4.67[/tex]

Thus,

[tex]\:\sqrt{21}=4.58[/tex]

[tex]4\frac{2}{3}=4.67[/tex]

as

4.67      >       4.58

so

[tex]4\frac{2}{3}[/tex]         >        [tex]\sqrt{21}[/tex]

Hence, we conclude that

[tex]4\frac{2}{3}[/tex]    >   [tex]\sqrt{21}[/tex]


Related Questions

Francis heard that a car stereo system was on sale for 30% off. If the original price was $62.40, what was the sale price of the stereo?

Answers

Answer:

89.14

Step-by-step explanation:

what graph shows the solution to the system of linear inequalities? y>2/3x+3 y<_-1/3x+2

Answers

you did not attach a picture

Please help me with this question

Answers

Answer:

5 x 3/4 < 5

2 x 4/3 > 2

6 x 5/5 = 6

4/7 x 1/8 < 4/7

2/5 x 7/7 = 2/5

1/3 x 6/4 > 1/3

Nancy and Linda go to their favorite restaurant. Nancy has a $5 off coupon to use for her purchase of $30. Linda has a 10% off coupon to use for her purchase of $25. What is the difference between the total the friends will pay individually

Answers

Answer:

Step-by-step explanation:

2.50

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

If Nancy has to buy an item that cost $30 with a 5% off and Ninda has to buy an item that cost $25 with a 10% off.

The difference between individual pay is $6.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Nancy:

Coupon = 5% off

Cost of the purchase = $30

Amount to pay:

= 30 - (5/100) x 30

= 30 - 30/20

= 30 - 1.5

= $28.5

Linda:

Coupon = 10% off

Cost of the purchase = $25

Amount to pay:

= 25 - (10/100) x 25

= 25 - 2.5

= $22.5

The difference between individual pay:

= 28.5 - 22.5

= $6

Thus

The difference between individual pay is $6.

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Please Help :))

Find the value of x in each pair of similar figures

Answers

Answer:

21

Step-by-step explanation:

set up proportion and solve

18/12=x/14 (cross multiply)

252=12x

21=x

What is the length of side EF in the triangle? Please give a step by step explanation, I'm having lots of trouble finding the solution. Thank you!

Answers

[tex]{\underline{\underline{\bf{Given:}}}}[/tex]

A right-angled triangle DEFMeasure of angle F = 90°Measure of side DF = 13.6 mMeasure of side DE = 16.2 m

[tex]{\underline{\underline{\bf{Need\:to\:find:}}}}[/tex]

The measure of side EF.

[tex]{\underline{\underline{\bf{Formula\:to\:be\:used:}}}}[/tex]

Pythagorean Theorem:

[tex]\underline{\boxed{\sf{{Base}^{2}+{Perpendicular}^{2}={Hypotenuse}^{2}}}}[/tex]

[tex]{\underline{\underline{\bf{Solution:}}}}[/tex]

According to the given data, we know the measures of Perpendicular and Hypotenuse. Hence, the measure of the base (Side FE) can be found by substituting the given measures in Pythagorean Theorem.

[tex]\implies{\sf{{Base}^{2}+{Perpendicular}^{2}={Hypotenuse}^{2}}}[/tex]

[tex]\implies{\sf{{EF}^{2}+{DF}^{2}={DE}^{2}}}[/tex]

[tex]\implies{\sf{{EF}^{2}+{(13.6)}^{2}={(16.2)}^{2}}}[/tex]

[tex]\implies{\sf{ EF = \sqrt{ {(16.2)}^{2} - {(13.6)}^{2} } }}[/tex]

[tex]\implies{\sf{ EF = \sqrt{ 262.44 - 184.96 } }}[/tex]

[tex]\implies{\sf{ EF = \sqrt{77.48 } }}[/tex]

[tex]\implies{\sf{EF=\red{\underline{\underline{8.802\:m}}}}}[/tex]

[tex]{\underline{\underline{\bf{Required\:answer:}}}}[/tex]

The length of side EF is 8.802 m.___________________________________________

6). To make trail mix you need 2
cups of raisins for every 3 cups
of almonds. How many cups of
raisins are needed for 12
cups of almonds?

Answers

Answer:

[tex]\boxed {\boxed {\sf 8 \ cups \ of \ raisins }}[/tex]

Step-by-step explanation

Let's create a proportion using this setup.

[tex]\frac{raisins}{almonds} =\frac{raisins}{almonds}[/tex]

We know that 2 cups of raisins are needed for 3 cups of almonds.

[tex]\frac{2 \ cups \ raisins}{3 \ cups \ almonds} =\frac{raisins}{almonds}[/tex]

We don't know how many cups of raisins are needed for 12 cups of almonds. Therefore, x cups of raisins are needed for 12 cups of almonds.

[tex]\frac{2 \ cups \ raisins}{3 \ cups \ almonds} =\frac{x \ cups \ raisins}{12 \ cups \ almonds}[/tex]

[tex]\frac{2 }{3} =\frac{x }{12 }[/tex]

Since we are solving for x, we must isolate that variable. It is being divided by 12. The inverse operation of division is multiplication. Multiply both sides of the proportion by 12.

[tex]12*\frac{2 }{3} =\frac{x }{12 }*12[/tex]

[tex]12*\frac{2 }{3}=x[/tex]

[tex]8=x[/tex]

8 cups of raisins are required for 12 cups of almonds.

which ones are equal to eachother & why. A,B,C or D? ​

Answers

Put c I’m pretty sure it’s correct

A computer company can inspect 12 laptops in 8 hours. what's the ratio

Answers

Answer:

4:1

Step-by-step explanation:

hope this helps

Answer:

The ratio is 1 hour to 1.5 laptops

Step-by-step explanation:

If you divide the time by amount done, there you have the answer.

What’s the percentage ?? Please fast!!! Asap

Answers

Answer:

52%.

Step-by-step explanation:

There are a total of 50 squares in the shape, and only 26 squares of the shape are shaded. That makes 52% or 0.52.

Answer:

52%

Step-by-step explanation:

26 out of 50 blocks are shaded orange

26/50 = 52%

What is the value of 9(4x - 4) when x = 5

Answers

Answer:

144

Step-by-step explanation:

plug in 5 where you see the x.

that gives us 9(4(5)-4)

multiply the 4 and the 5 first to get 9(20-4)

and by PEMDAS, we solve the parentheses first so now we have 9(16)

so now just multiply 9x16 to get 144

Step-by-step explanation:

9((4×5)-4)

9(20-4)

9(16)

144

Ignoring unwritten factors of 1, what is the sum of the numerical factors in the expression below?



−4(x−2)+(x−2)7−(x+5)(x−2)+(x−2)9+(−3)(x−2)

(1 point)
The sum is
.

Answers

Answer:

Step-by-step explanation:

Move

2x-3

x2+4x+3

to the left side of the equation by subtracting it from both sides.

x+2

x2-9

+

x-3

x2-2x-3

-

2x-3

x2+4x+3

=0

Simplify

x+2

x2-9

+

x-3

x2-2x-3

-

2x-3

x2+4x+3

Mark me brainless

Answer: the sum is 5

Step-by-step explanation:

If z = 1 + StartRoot 3 EndRooti, what is z5? 16 + 16StartRoot 3 EndRoot i –16 + 16StartRoot 3 EndRoot i –16 – 16StartRoot 3 EndRoot i 16 – 16StartRoot 3 EndRoot i

Answers

Answer:

The answer is C

Step-by-step explanation:

Correct answer shown on edge

The power of 5 of complex number z is (-16√3 + 16) + 4(-√3 + 3)i

What is a complex number?

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have:

z = 1 + √3i

We have to find: z⁵

z⁵ = (1 + √3i)(1 + √3i)(1 + √3i)(1 + √3i)(1 + √3i)

z⁵ = (-2 + 2√3)(1 + √3i)(1 + √3i)(1 + √3i)

[tex]\rm z^5=\left(2\sqrt{3}-2\right)+2\left(3-\sqrt{3}\right)i(1+\sqrt{3}i)(1+\sqrt{3}i)[/tex]

[tex]\rm =\left(-4\sqrt{3}+4\right)+4\left(3-\sqrt{3}\right)i(1+\sqrt{3}i)[/tex]

z⁵ = (-16√3 + 16) + 4(-√3 + 3)i

Thus, the power of 5 of complex number z is (-16√3 + 16) + 4(-√3 + 3)i

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n+3 +n for n = 6 Can you help

Answers

Answer:

15

Step-by-step explanation:

If I am not mistaken, since n is 6 you would replace n with 6 so it would be 6+3+6= 15.

I hope this helps :)

The answer to this would be 15.
I hope this helps

Hannah is a photographer who specializes in portraits. This morning, she soent four hours doing graduation portrait sessions. In the afternoon, she soent four hours doing family portaits sessions but she didnt do as many session as the graduation portraits. Tomorrow, she has the same number of graduation and family sessions to work. Which will she likely finish in less time?

Answers

She will likely finish the graduation sessions in less time.

Find the Error A student solved the equation and determined that the solution was –2. Choose the response that shows her error and corrects it.




Multiple choice question.

A)
There is no error, her answer is correct.


B)
The initial equation simplifies to 3x = 0, which means that x = 0.


C)
The equation –2 = –2 is always true, so no value of x will make the equation true. The correct solution of the equation is that there is no solution.


D)
The equation –2 = –2 is always true, so every value of x will make the equation true. The correct solution of the equation is infinitely many solutions.

Answers

The equation –2 = –2 is always true, so no value of x will make the equation true. The correct solution of the equation is that there is no solution.

What is equation?

In mathematics, an equation is a statement that shows the equality between two expressions. It contains an equals sign (=) that separates the two expressions. The expressions on both sides of the equals sign can be numbers, variables, or functions. The equation represents a relationship between the expressions that must hold true for all values of the variables involved. Solving an equation means finding the values of the variables that satisfy the equation. Equations are used in various fields, such as physics, engineering, economics, and many others, to model and solve real-world problems.

Here,

The error made by the student is assuming that -2 is the solution to the equation without actually solving it. The equation -2 = -2 is always true, which means that the equation is an identity and has no solution. So, the correct solution of the equation is that there is no solution.

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Help me with this!

Select all the relations that represent a function.
(1, 3), (2, 5), (2, 7) (4, 9)
(1, 3), (2, 5), (3, 7) (4, 9)
(1, 3), (1, 5), (1, 7) (4, 9)
(1, 3), (2, 3), (3, 3) (4, 3)
(1, 2), (2, 5), (2, 1) (4, 5)

Answers

Answer:
Relation #2 and #4

if a bike race covers 120 mi over 6 days and the cyclists ride the same distance every day how many miles does each cyclist ride each day​

Answers

120/6= 20
they ride 20 miles each day

Dan brought 36 vanilla cupcakes and 49 chocolate cupcakes to his school bake sale. Then his friend brought 5 more cupcakes. How many total cupcakes did the bake sale have to sell?

Answers

Answer:

90

Step-by-step explanation:

Answer:

90 cupcakes

Step-by-step explanation:

So, to solve this question all we have to do is add the number of cupcakes that Dan brought and the number of cupcakes that his friend bought.

So the expression would look like this:

36 + 49 + 5 = 90

So, in conclusion, the bake sale had 90 cupcakes to sell

plz mark me brainliest if correct :)

Which quotient is greater than 2?

50 ÷ 28
45 ÷ 23
38 ÷ 16
28 ÷ 15

Answers

38/16 is the answer

which of the following is true
GIVING BRAINLEST ​

Answers

Answer:

 KK

Step-by-step explanation:

Answer is 10.

Step-by-step explanation:

Somebody pls help me with this

Answers

It will take 40 seconds to get to the other side

Evaluate 4x^2-12x+5 at x=6. A. 67 B. 77 C. 105 D. 221
Please hurry, I am giving 50 points! I only have a limited time to answer it!!!

Answers

Answer: B. 77

Sub x =6 into the given expression

4x^2 - 12x + 5

= 4(6)^2 - 12(6) + 5

= 144 - 72 + 5

= 77

[tex]\\ \sf\longmapsto 4x^2-12x+5[/tex]

[tex]\\ \sf\longmapsto 4(6)^2-12(6)+5[/tex]

[tex]\\ \sf\longmapsto 4(36)-72+5[/tex]

[tex]\\ \sf\longmapsto 144-67[/tex]

[tex]\\ \sf\longmapsto 77[/tex]

Can the sides of a triangle have lengths 13.9, 12.7, and 5.1?

yes or no?

Answers

Answer:

Yes

Step-by-step explanation:

Sure. For example 5.1+13.9>12.7 or 5.1+12.7>13.9 or 13.9-5.1<12.7

Answer:

Yes

Step-by-step explanation:

f(x) = x - 5; translation 7 units right

Answers

Answer:

f(x-7) =  x -12

Step-by-step explanation:

horizontal translation 7 units right: f(x-7)

f(x) = x - 5

f(x-7) = x-7 -5 = x -12

fiona´s laptop computer weighs 2.5 kilograms. What is the weight of the computer in grams?

Answers

Answer:

2,500 grams

Step-by-step explanation:

2.5 kilograms = 2,500

Therefore, the laptop is 2,500 kilograms.

hope i helped

Find the value of x.

Answers

Given:

Figure of a triangle.

To find:

The values of x.

Solution:

In the figure, we have an angle bisector.

According to the angle bisector theorem, an angle bisector of a triangle always divides the opposite side into two segments that are proportional to the other two sides of the triangle.

Using angle bisector theorem, we get

[tex]\dfrac{x}{7}=\dfrac{15}{14}[/tex]

Multiply both sides by 7.

[tex]x=\dfrac{15}{14}\times 7[/tex]

[tex]x=\dfrac{15}{2}[/tex]

[tex]x=7.5[/tex]

Therefore, the value of x is 7.5 units.

HELP ASAP WILL GIVE BRAINLY


Exercises
Determine whether each solid is a polyhedron. Then identify the solid. If it is a polyhedron, name the bases, faces.
edges, and vertices.

Answers

Answer:

1 and 2 are not polyhedrons, as a circle has infinite sides

1. cone, 1 vertex

2. sphere, nothing

3. pentagonal prism?

wait but can't every face be a base???

anyway 7 faces, 10 vertices

4. triangular prism

5 faces, 6 vertices

Step-by-step explanation:

We have given the figure

We have to determine whether each solid is a polyhedron.

Then identify the solid.

If it is a polyhedron, name the bases, and faces.

edges, and vertices.

What is the vertex?

A vertex is a point of where the first derivative of curvature is zero. This is typically a local maximum or minimum of curvature, and some authors define a vertex to be more specifically a local extremum of curvature.

1 and 2 are not polyhedrons, as a circle has infinite sides

1. cone, 1 vertex

2. sphere, nothing

3. pentagonal prism

anyway 7 faces, 10 vertices

4. triangular prism

5. faces, 6 vertices

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please help me im pretty stumped

Answers

The awnser is -11 1/2 which is c

Part C
Use an exponential expression to calculate the area covered by purple loosestrife 7 years from now.

Answers

Answer:500(1.2)^x

Plato :)

Answer:

3

Step-by-step explanation:

PLATO

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