Write the ratio 4 1/5 to 5 2/5 as a simplified fraction

Answers

Answer 1

Answer:

[tex]\huge\boxed{4\dfrac{1}{2}:5\dfrac{2}{5}=5:6}[/tex]

Step-by-step explanation:

[tex]4\dfrac{1}{2}:5\dfrac{2}{5}[/tex]

we convert a mixed number to an improper fraction

[tex]4\dfrac{1}{2}=\dfrac{4\cdot2+1}{2}=\dfrac{9}{2}\\\\5\dfrac{2}{5}=\dfrac{5\cdot5+2}{5}=\dfrac{27}{5}[/tex]

Therefore

[tex]4\dfrac{1}{2}:5\dfrac{2}{5}=\dfrac{9}{2}:\dfrac{27}{5}=\dfrac{9\!\!\!\!\diagup^1}{2}\cdot\dfrac{5}{27\!\!\!\!\!\diagup_3}=\dfrac{1}{2}\cdot\dfrac{5}{3}=\dfrac{1\cdot5}{2\cdot3}=\dfrac{5}{6}=5:6[/tex]

Answer 2

The ratio 4 1/5 to 5 2/5 is equivalent to the simplified fraction 7/9.

How to write the simplified faction

To write the ratio 4 1/5 to 5 2/5 as a simplified fraction, we need to convert both mixed numbers to improper fractions and then find their ratio.

Step 1: Convert the mixed numbers to improper fractions:

4 1/5 = (4 * 5 + 1) / 5 = 21 / 5

5 2/5 = (5 * 5 + 2) / 5 = 27 / 5

Step 2: Find the ratio by dividing the first fraction by the second fraction:

Ratio = (21 / 5) / (27 / 5)

Step 3: To divide by a fraction, multiply by its reciprocal:

Ratio = (21 / 5) * (5 / 27)

Step 4: Simplify the fraction:

Ratio = (21 * 5) / (5 * 27)

Ratio = 105 / 135

Step 5: Simplify the fraction further by dividing both the numerator and denominator by their greatest common divisor, which is 15:

Ratio = (105 / 15) / (135 / 15)

Ratio = 7 / 9

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Related Questions

can someone help pls

Answers

Answer:

[tex]5.5[/tex]

Step-by-step explanation:

Since 1pt = 2qt, 2.75pt = 5.5qt

Three friends live in three different states. Monica lives in Rhode Island, Anthony lives in Ohio, and Thomas lives in Colorado.
a.) Determine the sales tax rate in each state.

Answers

Sales tax in Colorado is 2.85%, in Ohio is 5.50%, and in Rhode Island is 7%.

Colorado: 3.50 = 1003.60 = X3.60 x 100 / 3.50 = X360 / 3.5 = X102.85 = X2.85% = Sales tax

Ohio: Y = 1.055X10 x 1.055 = Y10.55 = Y10 = 10010.55 = X10.55 x 100 / 10 = X1055 / 10 = X105.5 = X5.5% = Sales tax

Rhode Island: 10 = 10010.70 = X10.70 x 100 / 10 = X1070 / 100 = X107 = X7% = Sales tax

Therefore, sales tax in Colorado is 2.85%, in Ohio is 5.50%, and in Rhode Island is 7%.

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What is the next term of the AP √2, √8 , √18 ......?​

Answers

Given terms in an AP are √2,√8,√18

√8 = √(2×2×2) = 2√2

√18 = √(2×3×3) = 3√2

The AP : √2,2√2,3√2

next term = 4√2> √(4×4×2)

⇛ √32

The next term of the AP = √32.

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Which term of the AP:3, 8, 13, 18,...,is 78?

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f(x)=2x 2 +8x Find f(−1)

Answers

Answer:

-6

Step-by-step explanation:

f(x)=2x^2+8x

f(-1)=2(-1)^2+8(-1)

f(-1)=2(-1)(-1)-8

f(-1)=2(1)-8

f(-1)=2-8

f(-1)=-6

Lucas is walking on a circular path modeled by the equation (x + 8)^2+ (y - 3)^2= 64 and Noal is walking on another circular path modeled by the equation (x - 10)^2 + (y - 3)^2= 100, where their
distances are given in meters. What is the maximum distance between the walkers at any given time?
18 meters
21 meters
36 meters
40 meters
pls help guys

Answers

The maximum distance between the walkers at any given time is (a) 18 meters

Lucas' equation on the circular path is given as:

[tex](x + 8)^2 + (y - 3)^2 = 64[/tex]

Noah' equation on the circular path is given as:

[tex](x - 10)^2 + (y - 3)^2 = 100[/tex]

The equation of a circle is represented as:

[tex](x - a)^2 + (y - b)^2 = r^2[/tex]

Where:

Center = (a, b)Radius = r

So, we rewrite both equations as follows:

[tex](x + 8)^2 + (y - 3)^2 = 64[/tex]

[tex](x + 8)^2 + (y - 3)^2 = 8^2[/tex]

[tex](x - 10)^2 + (y - 3)^2 = 100[/tex]

[tex](x - 10)^2 + (y - 3)^2 = 10^2[/tex]

The radii of both equations are:

[tex]r_1 = 8[/tex]

[tex]r_2 = 10[/tex]

The maximum distance between the walkers at any given time is the sum of the radii

[tex]r = r_1 + r_2[/tex]

So, we have:

[tex]r = 8 + 10[/tex]

This gives

[tex]r = 18[/tex]

Hence, the maximum distance between the walkers at any given time is (a) 18 meters

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Answer:

36 meeters

Step-by-step explanation:

trust me bro

Item 1 Ethan used 1 3 of a liter of milk to make 1 9 of a jug of tea. How much milk is required to fill the jug?

Answers

Answer:

3 liters

Step-by-step explanation:


At a movie theater, 360 people can see a particular movie over a period of 3 hours. At this
rate, how many people can see this movie over a period of 12 hours? (1 point)
A. 1,080
B. 1,440
C. 3,240
D. 4,320

Answers

Answer:

B. 1,440

Step-by-step explanation:

Answer:

Step-by-step explanation:

think about it how many groups can see the movie in 12 hours. that would be 4, now multiply 360 people by 4. if you do it right you answer should be 1440.(hope this helps :)   )

Help plz 20 points question is in the pic

Answers

I believe it is 5, the picture is kind of blurry but if 5 is a answer choice it is most likely 5

Negative 4 squared + (5 minus 2) (negative 6)

Answers

Answer:

-2

Step-by-step explanation:

Just list all of the possible answers

Answers

Answer:

what grade are you??........

Answer:

8th idea I'm sorry. uhhhhhhhh just wait not

32. The length of each side of a square wooden box, in inches, is represented by the expression
8m'. The volume of the box, in cubic inches, is (8m").
Which simplified expression represents the volume of the box?
C. 512m
D. 512m
A. 8m
B. 24m

Answers

the length of the box is represented by (8m2)

does that mean 8m^2?

in English that would be 8 times m^2 or 8 * m * m.

if that is true, then the volume of the box would be equal to (8*m^2)^3 which is equal to 8^3 * m^6 which is then simplified further to 512 * m^6 which can also be written as 512m^6.

if we assume that m is 3, then the side of the box is equal to 8 * 9 which is equal to 72 and that is cubed to get 373248.

working that out algebraically, it would look like this:

(8*3^2)^3 equals 8^3 * (3^2)^3 which is equal to 8^3 * 3^6 which is equal to 512 * 729 which is equal to 373248

The simplified expression that represents the volume of the box is D. 512m.

What is volume?

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.

The volume of a cube or a square box can be calculated by multiplying the length of one side by itself twice since all sides of a cube are equal. Therefore, the volume of the square wooden box in the question is:

Volume = (8m')³

= 8m' * 8m' * 8m'

= 64m' * 8m'

= 512m"³

So the simplified expression that represents the volume of the box is 512m"³. Both options C and D in the original question have the same answer, but there is a typo in option D where it only says "512m" instead of "512m³".

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what is the value of x?

Answers

Answer:

132

Step-by-step explanation:

corresponding angles are the same

The picture can be represented by the equation 40 divided by 8 equals 5.

Answers

Answer:

what is to do here

[tex] \sqrt[8]{40} = 4 \\ 5[/tex]

the answer like this up will be 5 what grade question

what is the value of f(-8) in f(x)=-3x-9

Answers

The value will be .......15.......

f(x) = -3x - 9

Now, substitute -8 in the place of x.

f(x) = -3x - 9

f(-8) = - 3(-8) - 9

f(-8) = 24 - 9

f(-8) = 15

______

Hope it helps ⚜

After the elves had hung 25% of the ornaments on the North Pole tree, there
were 480 more ornaments to hang. How many ornaments were in the box to
begin with?

Answers

Answer:

640

Step-by-step explanation:

x = total amount of ornaments

480 = 0.75x

(480 is 7 percent of the ornaments after you hang 2 percent of them)

x = 640

Choose the true statement about virtue-based ethics.
i. According to the principles of virtue-based ethics, character is more important than actions.
ii. According to the principles of virtue-based ethics, right and wrong are assessed using culture as a guide.
iii. According to the principles of virtue-based ethics, the consequences of actions are very important.
iv. According to the principles of virtue-based ethics, rules are used to evaluate actions.

Answers

Virtue based ethics holds that character is more important than actions.

Virtue based ethics is the aspect of ethics that holds that the moral character of a person if of more paramount importance than the person's actions and its consequences.

Hence, the true statement about virtue based ethics from the options is that; "according to the principles of virtue-based ethics, character is more important than actions."

Learn more about ethics: https://brainly.com/question/25784680

Does anyone know how to do this?

Answers

Answer:

∠ GFC = 67°

Step-by-step explanation:

The sum of the 3 angles in Δ BCF = 180° , then

∠ FCB + 73° + 40° = 180°

∠ FCB + 113° = 180° ( subtract 113° from both sides )

∠ FCB = 67°

∠ GFC and ∠ FCB are alternate angles and are congruent , so

∠ GFC = 67°

Ok done. Thank to me :>

Components inside a computer such as CPU and motherboard are all examples of _____. software hardware

Answers

Answer:

it's hardware.

.

hope I helped!

i need help with this pleaseeeeeeee

Answers

Answer:

BEF

Step-by-step explanation:

Yeah-ya.............. right?

Answer:

TAY I THINK ITS TAY C PART TAY

Please solve i need help :,) tyy

Answers

Answer:

6. 47

7. 25

8. 15

9. 33

10. 9

Step-by-step explanation:

Substitute.

6. x=-7

y = -8x - 9

= -8(-7)-9

= 56-9

y=47

7. x=2

y= -8x-9

= -8(2)-9

= -16-9

y= -25

8. x=-3

y= -8x-9

= -8(-3)-9

=24-9

y= 15

9. x=3

y= -8x-9

= -8(3)-9

= -24-9

y= -33

10. x=0

y= -8x-9

= -8(0)-9

= 0-9

y= -9

A dolphin dives down into the ocean and resurfaces along a path that is modeled by x^2- 8x + 4y = 0, where the distances are in feet. How many feet is the dolphin from its starting point along the
water's surface?
8 feet
6 feet
4 feet
O feet
please guys i need help

Answers

Answer:

6ft

Step-by-step explanation:

The Dolphin is 8 feet apart from starting point along the water surface.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Equation: x²- 8x + 4y = 0

Now, solving for variable 'y' we get

y= (8x - x²) /4

y= 2x - x²/4

So, the Dolphin is 8 feet apart from starting point along the water surface.

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Work out the area of the shaded shape. Need answer ASAP

Answers

Answer:

Step-by-step explanation:

A = 3(6) + 2(5 + 3 + 2) = 38 m²

Question is in picture
IS MNL=QNL? Why or why not?

Answers

Answer:

B) Yes, they are both right angles.

Step-by-step explanation:

What would be the total cost of
Software M over time?
Satisfaction 55%. $0
$[?]
Not Satisfied
$6,000
Software X
45% - $18,000
Software M.
$12,000
95% - $0
Satisfaction
Not Satisfied
5% • $2,000
Entor

Answers

1. The total cost of Software M over time is $10,000.

2. The total cost of Software X over time is $4,000.

Data and Calculations:

Cost of Software M = $12,000

Satisfaction rate with Software M = 95%

Cost of satisfaction level = $0

Cost of dissatisfaction level = $2,000

Percentage of not satisfied = 5%

The total cost of Software M over time is $10,000 {($12,000 x 95% - $0) + ($12,000 x 5% - $2,000)}.

Cost of Software X = $6,000

Satisfaction rate with Software X = 55%

Cost of satisfaction level = $0

Cost of dissatisfaction level = $18,000

Percentage of not satisfied = 45%

The total cost of Software M over time is $4,000 {($6,000 x 55% - $0) + ($6,000 x 45% - $2,000)}.

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what's a real number?

Answers

Answer:

Real Numbers are numerical values that can represent distance on a line. An example of it being one is 15 and an example of it NOT being one is ∞.

Which side lengths form a right triangle?
Choose all answers that apply

(Choice A)
A
3
,
27
,
6
3,
27

,63, comma, square root of, 27, end square root, comma, 6

(Choice B)
B
8
,
15
,
17
8,15,178, comma, 15, comma, 17

(Choice C)
C

Answers

Answer:

4, 7.5, 8.54,7.5,8.5

Step-by-step explanation:

We can use the Pythagorean Theorem to see if the side lengths will form a right triangle.

The equation for the Pythagorean Theorem is

a^2 + b^2 = c^2a  

2

+b  

2

=c  

2

a, squared, plus, b, squared, equals, c, squared

where aaa and bbb are the lengths of the two legs of the triangle, and ccc is the length of the hypotenuse.

[How can I tell which side is the hypotenuse?]

Hint #22 / 5

Let's check each set of numbers:

\begin{aligned} a^2 + b^2 &= c^2 \\\\ 4^2 +\sqrt8^2 &\stackrel{\large?}{=} 24^2 \\\\ 16 + 8&\stackrel{\large?}{=} 576\\\\ 24&\neq 576\\\\ \end{aligned}  

a  

2

+b  

2

4  

2

+  

8

​  

2

16+8

24

​  

=c  

2

=

?

24  

2

=

?

576

​  

=576

​  

The side lengths 4, \sqrt8, 244,  

8

​  

,244, comma, square root of, 8, end square root, comma, 24 do not form a right triangle.

Hint #33 / 5

\begin{aligned} a^2 + b^2 &= c^2 \\\\ 5^2 + 5^2 &\stackrel{\large?}{=} 5^2 \\\\ 25+ 25&\stackrel{\large?}{=} 25\\\\ 50&\neq 25\\\\ \end{aligned}  

a  

2

+b  

2

5  

2

+5  

2

25+25

50

​  

=c  

2

=

?

5  

2

=

?

25

​  

=25

​  

The side lengths 5, 5, 55,5,55, comma, 5, comma, 5 do not form a right triangle.

Hint #44 / 5

\begin{aligned} a^2 + b^2 &= c^2 \\\\ 4^2 + 7.5^2 &\stackrel{\large?}{=} 8.5^2 \\\\ 16+ 56.25&\stackrel{\large?}{=} 72.25\\\\ 72.25&\stackrel{\checkmark}{=} 72.25\\\\ \end{aligned}  

a  

2

+b  

2

4  

2

+7.5  

2

16+56.25

72.25

​  

=c  

2

=

?

8.5  

2

=

?

72.25

=

72.25

Answer:

4, 7.5, 8.5

Step-by-step explanation:

I had this question on Khan, and it was right (:

I need help on this question as soon as possible. If anybody can give me the correct answer I’ll give brainly. I just need help. This is my 2nd question and there is 11 questions

Answers

Answer:

The solution of the system is (6, 9).

Step-by-step explanation:

Solve one of the variables and substitute the answer for the other variable.

Select one of the problems and solve for x.

3x+y=27

Subtract y from both sides.

3x+-y=27

Divide both sides by three.

x=1/3(-y + 27)

Multiply 1/3 by -y + 27.

x = -1/3y + 9

Replace -y/3 + 9 for x in the other problem 3x-2y=0.

3(-1/3y + 9) - 2y = 0

Multiply 3 by -y/3 + 9.

−y+27−2y=0

Add -y to -2y.

−3y+27=0

Subtract 27 from both sides of the problem.

−3y=−27

Divide both sides by −3.

y=9

Replace 9 for y in x=−1/3​y+9.

x=−1/3*9+9

Multiply −1/3​ times 9.

x=-3+9

Add 9 to -3.

x = 6.

x = 6, y = 9.

|-4+5x|=16
Pls help
Pls

Answers

Answer: i believe x = 4

Step-by-step explanation: 16 - |-4| which is adding two positives and that equals 20 so then its 5x = 20 divide 20 by 5 and you get 4

You plant 9 rows of different bulbs in a garden. For each row, you use the rule, “onion, onion, garlic, flower.” How many garlic and flower bulbs do you plant altogether? How many bulbs do you use in all?

Answers

Answer:

18; 36

Step-by-step explanation:

If there's 9 rows of "onion, onion, garlic, flower", then you repeat this cycle 9 times.

onion, onion, garlic, flower(1)

onion, onion, garlic, flower(2)

onion, onion, garlic, flower(3)

onion, onion, garlic, flower(4)

onion, onion, garlic, flower(5)

onion, onion, garlic, flower(6)

onion, onion, garlic, flower(7)

onion, onion, garlic, flower(8)

onion, onion, garlic, flower(9)

Add up the garlic and flower bulbs, which equals 18. Then add up all of the bulbs, which is 36.

-hope it helps

Answer ?? It’s multiplicity

Answers

I think A is the answer
Other Questions
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