The question is asking me choose all of the numbers that are unit fractions, and here are my options, 14 <16 14 <16 510<36 510<36 12>13 1 half is greater than 1 third 48>26 4 eighths is greater than 2 sixths 35>45

Answers

Answer 1

Answer:

[tex](d)[/tex] [tex]\frac{4}{8}>\frac{2}{6}[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{4} <\frac{1}{6}[/tex]

[tex]\frac{5}{10}<\frac{3}{6}[/tex]

[tex]\frac{1}{2}>\frac{1}{3}[/tex]

[tex]\frac{4}{8}>\frac{2}{6}[/tex]

[tex]\frac{3}{5}>\frac{4}{5}[/tex]

Required

Select the unit fractions

If we are to go by what a unit fraction means: it means that the numerator of the fraction must be 1 and must be written as a single fraction i.e. [tex]\frac{1}{2}[/tex] and not as an inequality i.e. [tex]\frac{3}{5}>\frac{4}{5}[/tex]

Given the format of the question, what is required of the question is to select all correct inequality.

[tex](a)[/tex] [tex]\frac{1}{4} <\frac{1}{6}[/tex]

Convert to decimals

[tex]0.25 < 0.167[/tex] ---- This is not true because [tex]0.25 > 0.167[/tex]

[tex](b)[/tex] [tex]\frac{5}{10}<\frac{3}{6}[/tex]

Convert to decimals

[tex]0.5 < 0.5[/tex] ---- This is not true because [tex]0.5 = 0.5[/tex]

[tex](c)[/tex] [tex]\frac{1}{2}>\frac{1}{3}[/tex]

Convert to decimals

[tex]0.5 > 0.33[/tex] ---- This is true

[tex](d)[/tex] [tex]\frac{4}{8}>\frac{2}{6}[/tex]

Convert to decimals

[tex]0.5 > 0.33[/tex] ---- This is true

[tex](e)[/tex] [tex]\frac{3}{5}>\frac{4}{5}[/tex]

[tex]0.6 > 0.8[/tex] --- This is not true because [tex]0.6 < 0.8[/tex]

So: the true inequality is:

[tex](d)[/tex] [tex]\frac{4}{8}>\frac{2}{6}[/tex]


Related Questions

PLS HELP AND EXPLAIN HOW TO DO IT ASWELL ILL MARK YOU BRAINLIEST ​

Answers

Answer:

251.33 = 251

Step-by-step explanation:

V= πr²h = π·2²·20 ≈ 251.32741 = 251.33

Answer:

Step-by-step explanation:

Need help with the answer please and thank

Answers

Answer:

Here is the step: Area of triangle = 1/2 (height x base) = 1/2 (9 x 18) = 81

Step-by-step explanation:

Then the Area of the rectangular = 12 x 18 = 216

So the  total Area of the figure is = 81 + 216 = 297

I hope it help.. give me brainiest

A particle P of weight 20 N is suspended by two strings AP and BP. The tension in string AP is (ai+8j)

and the tension in string BP is (6i+bj)

The value of a is?

And the value of b is?


The magnitude of the tension in string AP is?


The angle that string BP makes with the vertical is?


Give your answers as exact whole numbers or as decimals to 3 s.f.

Answers

Answer:

i. a = -6 ii. b = 12 iii. 100 iv. 26.6°

Step-by-step explanation:

Since the weight of the object is 20 N and directed downwards, its vector is -20j. Now, since the particle is in suspension, AP + BP = -20j

So, since AP = ai + 8j and BP = 6i + bj,

AP + BP = -20j

ai + 8j  + 6i + bj = -20j

ai + 6i + 8j + bj = -20j

(a + 6)i + (8 + b)j = -20j

(a + 6)i + (8 + b)j = 0i - 20j

equating the components on both sids,

a + 6 = 0 and 8 + b = 20

a = -6 and b = 20 - 8 = 12

i. The value of a is -6

ii. The value of b is 12

iii. The magnitude of the tension in string AP is?

since AP = ai + 8j  = -6i + 8j

magnitude of AP = √[-6² + 8²] = √[36 + 64] = √100 = 10

iv. The angle that string BP makes with the vertical is?

Since BP = 6i + bj = 6i + 12j, the angle it makes with the horizontal is Ф = tan⁻¹(12/6) = tan⁻¹(2) = 63.44°.

Thus, the angle it makes with the vertical is thus 90° - 63.44° = 26.56° (complementary angles) ≅ 26.6° to 3 s.f

1) The values of a and b of the given vectors are respectively; -6 and 12

2) The magnitude of the tension in string AP is; 10

3) The angle that string BP makes with the vertical is; 26.6°

What is the magnitude of the tension?

We are told that the weight of the particle P is 20 N. Since the particle is suspended by two strings, then its' direction is downwards and as such its vector is -20j.

By equilibrium;

AP + BP = -20j

1) We are given the tension vectors;

AP = ai + 8j and BP = 6i + bj,

Thus;

ai + 8j  + 6i + bj = -20j

(ai + 6i) + (8j + bj) = -20j

(a + 6)i + (8 + b)j = -20j

(a + 6)i + (8 + b)j = 0i - 20j

Equating the components of both sides gives;

a + 6 = 0 and 8 + b = 20

Solving gives;

a = -6 and b = 20 - 8 = 12

Thus, the values of a and b are -6 and 12

2) The magnitude of the tension in string AP is gotten from resolution of the tension vector AP;

AP = ai + 8j  = -6i + 8j

Thus, magnitude of AP = √(-6² + 8²) = √(36 + 64) = √100 = 10

3) The angle that string BP makes with the vertical is gotten from;

BP = 6i + bj = 6i + 12j

Thus, the angle it makes with the horizontal;

θ = tan⁻¹(12/6) = tan⁻¹(2) = 63.44°.

Angle it makes with the vertical = 90° - 63.44° = 26.56° ≈ 26.6°

Read more about Magnitude of Tension at; https://brainly.com/question/13370981

Randy drew a rectangle inside another with the size shown below on a piece of paper. He places the paper outside during a light rain. What is the approximate probability that a raindrop that lands on the paper will fall outside the shaded region?

Answers

Answer:

[tex]Probability = 84\%[/tex]

Step-by-step explanation:

First, calculate both areas

[tex]Area = Length * Width[/tex]

The area of the outer rectangle is:

[tex]Big\ Area = 20 * 25[/tex]

[tex]Big\ Area = 500cm^2[/tex]

The area of the small rectangle is:

[tex]Small\ Area = 10 * 8[/tex]

[tex]Small\ Area = 80cm^2[/tex]

The area outside the small rectangle is:

[tex]Outside = Big - Small[/tex]

[tex]Outside = 500cm^2 - 80cm^2[/tex]

[tex]Outside = 420cm^2[/tex]

So, the probability that it falls outside the paper inside is:

[tex]Probability = \frac{Outside}{Big\ Area}[/tex]

[tex]Probability = \frac{420cm^2}{500cm^2}[/tex]

[tex]Probability = \frac{420}{500}[/tex]

[tex]Probability = 0.84[/tex]

Express as percentage:

[tex]Probability = 0.84*100\%[/tex]

[tex]Probability = 84\%[/tex]

See attachment for rectangle

Pls help me with this, thanks

Answers

good guess is D for me

Answer:

Choice D, the cube

Step-by-step explanation:

HELP THIS IS VERY URGENT.
1. How would you eliminate "x" in the system below? *

Answers

Answer:

You could multiply the top or the bottom equation by a negative (-1) and then add the equation together/continue with the steps of elimination and you will have gotten rid of X. Answer to the problem is (2,4)

Step-by-step explanation:

Edith rides in an Oober that charges a flat rate of $6.75 plus $3.20 per mile. If the ride share service charges $40.03 in total for her trip, how many miles is her ride? Enter your NUMERICAL answer only in the box as a decimal to the nearest tenth of a mile.

Answers

Answer:

10.4 miles

Step-by-step explanation:

c(m) = trip cost

c(m) = 6.75 + 3.2m

40.03 = 6.75 = 3.2m

33.28 = 3.2m

m = 10.4

The country of Sylvania has decided to reduce the number of its illiterate citizens by 3/5 each year. This year there are 9000 illiterate people in the country.

Write a function that gives the number of illiterate people in Sylvania, P(t), t years from today

Answers

Answer:

P(t)= 9000(0.4)^t

Step-by-step explanation:

Generally, we have an exponential function as follows;

P(t)= I(1 - r)^t

This case represents a decay ( decrease in value)

from what we have;

I represents the initial value, whereas r is the rate of change

From the question, we have that the change rate is the fraction 3/5

Writing this as a decimal, it is 0.6

substituting this back into the equation, we have;

P(t)= I(1-0.6)^t

P(t)= I(0.4)^t

I in this case is 9,000

So we have it that;

P(t) = 9000(0.4)^t

I need help question in picture

Answers

Area formula of a circle = πr2

π (8.5)2
Area= 226.98

it's is A= pi x r x 2^

diameter is 17 divide by two is the radius

3.14 x 8.5 x 8.5 is 226.865

Find the area plz plz

Answers

Answer:

57.475 ft2

Step-by-step explanation:

12.1x9.5= 114.95

114.95/2= 57.475

Answer:

[tex]\Huge\boxed{57.475 ft^2}[/tex]

Step-by-step explanation:

Hello there!

The following figure shown is a triangle

The area of a triangle can be calculated using this formula

[tex]A=\frac{bh}{2}[/tex] where b = base and h =height

The height of the triangle is 12.1 ft and the base length is 9.5ft

Knowing this information all we have to do is plug in the values into the formula

[tex]A=\frac{12.1*9.5}{2} \\12.1*9.5=114.95\\\frac{114.95}{2} =57.475\\A=57.475[/tex]

So we can conclude that the area of the triangle is 57.475 square feet

Find four solutions of each equation. Write the solutions as ordered pairs.
3. y = 3x
4. y = -2x + 11

Answers

y = 3x

x y

-2 -6

-1 -3

0 0

1 3

y = -2x +11

x. y

-1. 13

0 11

1. 9

2. 7

2 ways the akkadian and assyria empire are the same​

Answers

Answer:

The Akkadian and Assyrian empires were two of the world’s first empires. Their conquests reshaped Mesopotamia. The many empires that would follow, worldwide,

Step-by-step explanation:

CAN SOMEONE PLEASE HELP I WILL GIVE 50 POINTS

Answers

Answer:

yes I will help you just give the question

Help please
I will give a brainliest

Answers

the other person is correct the answer is C

Please help if you can!!!

Answers

Answer:

Step-by-step explanation:

y = ax² + bx + c

Plug in the three given points, then solve for a, b, c

(-3,0): 0 = 9a - 3b + c

(4,0): 0 = 16a + 4a + c

(0,-12): -12 = c

9a - 3b = 12

3a - b = 4

16a + 4b = 12

4a + b = 3

a = 1

b = -1

y = x² - x - 12

help asap
which best describes this equation
10+6 x=15+9 x-3 x
a one real solution
b the solution is 0
c no real solutions
d an infinite number of solutions

Answers

Answer:

c. no real solutions

Step-by-step explanation:

because:

1. 10+6x=15+9x-3x

6x+10=15+9x-3x

2. 6x+10=15+9x-3x

6x+10=15+6x

3. 6x+10=15+6x

6x+10=6x+15

4. 6x+10=6x+15

6x+10-10=6x+15-10

5. 6x=6x+5

6. 6x=6x+5

6x-6x=6x+5-6x

Then you get:

0=5

remember, If you want to know if an equation has no equation:

the constants are the numbers alone with no variables. If the coefficients are the same on both sides then the sides will not equal, therefore no solutions will occur. Use distributive property on the right side first.

I hope this helps      :)

1. A square and a rectangle have the same area. The length of the rectangle is 32
centimeters, and the width of the rectangle is 2 centimeters. What is the length, in
centimeters, of a side of the square?

Answers

Answer:

8

Step-by-step explanation:

A=l*w

32*2=64

A=s*s

s=A

64

=8

The length in centimeters of the side of the square is 8 cm.

What is the area of a rectangle and a square?

The area of a rectangle and a square are -

A{R} = Length x Breadth

A{S} = Side x Side

Given is that a square and a rectangle have the same area. The length of the rectangle is 32 cm and the width of the rectangle is 2 cm.

It is given that -

A{R} = A{S}

Length x Breadth = Side x Side

32 x 2 = (Side)²

(Side)² = 64

Side = 8

Therefore, the length in centimeters of the side of the square is 8 cm.

To solve more questions on areas, visit the link below -

brainly.com/question/30066987

#SPJ2

Who can help me out on this please??

Answers

Answer:

no

Step-by-step explanation:

4+6 does not equal 12 so there for it is incorrect

Need help getting stuck on this problem

Answers

Answer:

Variable x in first equation

Step-by-step explanation:

Given system

x = 5y - 1x + 2y = 13

Variables in this system are x and y.

Isolating a variable means rearranging the equation so that a variable of our interest is on its own in one side of the equal sign.

We see variable x is isolated in the first equation.

In the second equation both of the variables are on the same side so they are not isolated.

Answer:

x

Step-by-step explanation:

x=5y-1--(1)

The x variable is isolated here as it's solo on left side

Solve the equations

x+2y=13x=-2y+13--(2)

Equate

5y-1=-2y+137y=14y=2

x=10-1=9

Select the correct answer from the drop-down menu. A line with a slope of -2 crosses the y-axis at (0, 3). The equation of the line is . A. -3x + y = 3, B. 3x + y = 2 C. 2x + y = 3 D. 2x + y = 2

Answers

The answer is B.3x+y=2
Explanation: When graph A has the crosses on the y axis(0,3) but it doesn’t have a slope of -2 since it run from left to right. But B tun from right to left making it negative.
Can u give me brainliest please? I would appreciate it and I hope this helps.

WHAT numbers do 12 and 10 go in evenly

Answers

Answer:

Step-by-step explanation:

All the factors of 12

So 1, 2, 3, 4, 6 and 12 are factors of 12.

Answer:

answer is 2×2×3×5= 4×15=60 im srry if you did not mean this but anyways have nice day

Step-by-step explanation:

12,10| 2

6,5| 2

3,5| 3

1,5| 5

1,1

round nearest hundredth​

Answers

Answer:.

Step-by-step explanation:nearest hundredth the answer for this question is joe mama

Find the surface area
Please explain

Answers

Step-by-step explanation:

There are two trapezium(s), area of 2:

= 2 [½ x (sum of || sides) x height]

= 2[½ x (4 + 8) x 4.6 ] [not clearly visible if it is 4.5 or 4.6]

= 55.2 yd²

Area of vertically tilted rectangles

1): area = 5 x 4 = 20 yd²

2): area = 5 x 4 = 20 yd²

Total area = 20 + 20 = 40 yd²

Area of horizontal rectangles:

1): area = 4 x 8 = 32 yd² [upper]

2): area = 4 x 4 = 16 yd² [lower]

Area of given surface = 55.2 + 40 + 32 + 16 = 143.2 yd²

What is the exact volume of the cone? A. 40n cm3 B. 80/3 n cm3 C. 160/3 n cm3 D. 160n cm3​

Answers

Answer:

167.55

Step-by-step explanation:

Formula - V = [tex]\pi r^2\frac{h}{3}[/tex]

V = [tex]\pi (4)^2\frac{10}{3}[/tex]

V = 167.55

Susan bikes 3 miles round-trip from home to school, Monday through Friday. On Saturday and Sunday she does not ride her bike, but skateboards around her neighborhood. How many miles total does she bike to and from school each week?

Answers

Answer:

15 miles

Step-by-step explanation:

5 days times 3 miles per day.

the saturdat/Sunday skateboarding stuff is irrelevant to the question asked

the answer is 15. hope i helped

help plz solve for sides on 30-60-90 triangles 50 POINTS

Answers

You are lying about the points

Answer:

liiiaaaarrrrrr

Step-by-step explanation:

I need help on this quick check

Answers

Answer:

20% more

Step-by-step explanation:

30%-10% = 20%

to insure goods to send them overseas it costs the exporter 5/2% of the value of the goods. if the goods are valued at 16.400$, what will be the insurance cost?​

Answers

Answer:

The insurance costs to send goods valued at $16,400 is $410  

Step-by-step explanation:

The amount it costs an exporter to insure goods to send overseas = (5/2)% of the value of the goods

Therefore;

The insurance costs, 'C' to send goods valued at $16,400 is given as follows;

C = $16,400 × (5/2)/100 = $410

The insurance costs to send goods valued at $16,400 = $410

A scale model of the Washington Monument is 15 inches tall and the base is 1.5 inches wide. If the actual monument is approximately 555 feet tall, which is closest to the width, in feet, of the base?

Answers

its fake the guy linky

What is the value of x?

Answers

Answer: In  algebra, it is easy to find the third value when two values are given. Generally, the algebraic expression should be any one of the forms such as addition

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