The ratio x: y is 1:3
Which of the following statements are correct?
A x is 1/3 of y
B y is 3/4 of (x + y)
x is 1/4 of y
y is 3/4 of x

Answers

Answer 1

Answer:

Option A

Step-by-step explanation:

x : y = 1 : 3

This can be also written as

[tex] \frac{x}{y} = \frac{1}{3} [/tex]

Multiplying y on both the sides

[tex] = > \frac{x}{y} \times y = \frac{1}{3} \times y[/tex]

[tex] = > x = \frac{1}{3} \times y[/tex]

Hence , x is one-third of y

Answer 2

Answer:

A and B

x is [tex]\frac{1}{3}[/tex] of y

AND

y is [tex]\frac{3}{4}[/tex] of (x+y)

Step-by-step explanation:

x:y is 1:3

=>  y is bigger than x

=>  y is 3x bigger than x

=>  y = 3 lots of x

=>  [tex]y =[/tex] [tex]3x[/tex]

=>  [tex]\frac{y}{3}[/tex] [tex]= x[/tex]

=>  [tex]\frac{1}{3} y[/tex] [tex]= x[/tex]

So x is [tex]\frac{1}{3}[/tex] of y

y is [tex]\frac{3}{4}[/tex] of (x+y)

If x = 1 and y = 3 (substitute in values)

=>  3 is [tex]\frac{3}{4}[/tex] of (4)

=>  3 is [tex]\frac{3}{4}[/tex](4)

=>  3 is ([tex]\frac{3}{4}[/tex]x4)

=>  3 = 3

Therefore, y is [tex]\frac{3}{4}[/tex] of (x+y) is true

So the answers are:

x is [tex]\frac{1}{3}[/tex] of y

AND

y is [tex]\frac{3}{4}[/tex] of (x+y)


Related Questions

Find the exact length of the third side.
7.
3

Answers

Answer:

10

Step-by-step explanation:

Answer: it’s 2

Step-by-step explanation: so u subtract

round to the tenth number 8.2548

Answers

Answer:

8.3

Step-by-step explanation:

8.25 has to round up because of the five making it 8.3

8.2548 is because 5 and more let it score 4 or less make it rest

Lola made $104.54 working 11 hours this week. Next week she is working 15 hours. How much will she make?

Answers

Answer:

$142.50

Step-by-step explanation:

If you divide how much she made by 11 you find out she makes $9.50 and hour and then you mutiply $9.50 by the 15 hours she works.

15 POINTS PLEASE HELP!!!

Answers

It is the third one because if (gof) is gjudjgui8dfghdgdihhhdghgd

Luann wrote an expression showing 8 times the difference of y and 3. Select all expressions that are equivalent to the value of Luann’s expression.


8y−3
8y−11
8y−24
8y+24
8(y−3)

Answers

Answer:

8y-24 and 8(y-3)

Step-by-step explanation:

Can someone answer these two problems??

Answers

9514 1404 393

Answer:

  B

Step-by-step explanation:

The given equation is in slope-intercept form:

  y = mx + b

where the slope is m = -3 and the y-intercept is b = +2.

So, the graph will have a slope of ...

  "rise"/"run" = -3 = -3/1

and will cross the y-axis at y=2.

Graphs A and B cross the y-axis in the right place, but only Graph B has a negative "rise" a x increases.


consider the function f(x)=6sin(x-pi/8)+8. What transformation results in g(x)=6sin(x-7pi/16)+1?​

Answers

Answer: we have a vertical shift of 7 units down, and a horizontal shift of 5*pi/16 units to the right.

Step-by-step explanation:

First, let's define the transformations:

Vertical shift.

If we have a function f(x), a vertical shift of N units is written as:

g(x) = f(x) + N

This will move the graph of f(x) up or down a distance of N units.

if N is positive, then the shift is upwards

if N is negative, then the shift is downwards.

Horizontal shift.

If we have a function f(x), a horizontal shift of N units is written as:

g(x) = f(x + N)

This will move the graph of f(x) to the right or left a distance of N units.

if N is positive, then the shift is to the left

if N is negative, then the shift is to the right.

Here we have:

f(x) = 6*sin(x - pi/8) + 8

and the transformed function:

g(x) = 6*sin(x - (7/16)*pi) + 1

We can assume that the transformations are a vertical shift of A units, and an horizontal shift of B units, then we can write:

g(x) = f(x + B) + A

g(x) = 6*sin(x + B - pi/8) + (8 + A) = 6*sin(x - (7/16)*pi) + 1

Then we must have that:

(x + B - pi/8) = x -  (7/16)*pi

B - pi/8 = -(7/16)*pi

B = -(7/16)*pi + pi/8 =  -(7/16)*pi +2*pi/16 = (-7 + 2)*pi/16 = -5*pi/16

And we also must have that:

8 + A  = 1

A = 1 - 8 = -7

Then the transformation is:

g(x) = f(x - 5*pi/16) - 7

This means that we have a vertical shift of 7 units down, and a horizontal shift of 5*pi/16 units to the right.

Write the percent as a decimal.
47.63%.

Answers

0.4763 is the answer I got

Answer:

.4763

Step-by-step explanation:

A percent can be made into a decimal by moving the decimal two places to the left.

An airplane is flying at a height of 3 kilometers on a path that will take it directly over the airport. At a certain instant its slant distance from the airport is 18 kilometers. How far must the plane travel to be directly above the airport?

A 333km

B 315km

C 15km

D 21km​

Answers

Answer:

its b......................

The airplane must travel [tex]\sqrt{315}[/tex] km to be directly above the airport.

What is Pythagoras Theorem?

Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.

We have to apply the Pythagoras theorem to solve the problem.

By Pythagoras theorem,

Base² + Altitude² = Hypotenuse²

Given,

Altitude = 3 km

Hypotenuse is the slant distance from the airport = 18 km

Let x be the distance plane must travel to be directly above the airport.

x² + 3² = 18²

x² = 315

x = [tex]\sqrt{315}[/tex]

Hence the distance plane must travel is [tex]\sqrt{315}[/tex] km.

To learn mote about Pythagoras Theorem, click :

https://brainly.com/question/21926466

#SPJ2

Solve the equation:
−8n−8=−72

Select one:

n=−20

n=−2

n=8

n=17

Answers

Answer: n=8

Step-by-step explanation:

N=8, I showed the work your welcome

Evaluate b/a−1.2 when a=4 and b=12

Answers

Answer:

3-1.2=1.8

Step-by-step explanation:

12/4=3-1.2=1.8

I need help with the question please! I'm having a hard time answering it!

Answers

Answer:

small packet: 1.56/22=£0.071

medium: 2.87/38=£0.076

large: 4.67/65=£0.072

small packet is best as it has the lowest price per nail

Juan has $1.30 in dimes and nickels. He has a total of 15 coins. How many dimes does Juan have?

Answers

11 dimes and 4 buckles. You're welcome :)

One number is 7 more than twice another tumber. The sum of the numbers is 22. What is
one of the numbers?

Answers

Answer:

5

Step-by-step explanation:

for the question, let's make a variable

Assume one number is X and we can get a equation like this:

X + 2X+7 = 22

X + 2X = 22 - 7

3X = 15

X = 5

Pls can someone help me

Answers

Answer:

x = (h-12y-2)/4

Step-by-step explanation:

Here, we want to make x the subject of the formula

We have this as:

h = 4x + 12y + 2

4x = h-12y-2

x = (h-12y-2)/4

Solve the system of equations: *

4x +2y = 24
x + y = 6

One solution: (0,6)
One solution: (6,0)
No solution
Infinite Solutions

Answers

Answer:

One solution: (6,0)

Step-by-step explanation:

4(6)+2(0)=24

6+0=6

Examine the following diagram: 2 lines intersect to form 4 angles. From the top, clockwise, the angles are 1, 4, 2, 3. Which statement is not true of the given diagram? m∠2 + m∠3 = 180° m∠2 + m∠4 = 180° ∠3 and ∠4 are vertical angles ∠2 ≅ ∠4

Answers

Answer:

The answer is D on edg 2020

Step-by-step explanation:

brainliest plz

Answer:

Its D

Step-by-step explanation:

∠2 ≅ ∠4

Help me find the value of "y" thanks

Answers

You would move you positive 3 to the left side so (y) is by itself. So you would have 3x-8=y. Then substitute X=5. So 3(5)-8=y. 15-8=y. 7=y

Answer:

[tex]y=3x-8[/tex]

Step-by-step explanation:

First, you have to isolate y on one side of the equation.

Step 1) Add 5 to both sides (this will cancel out the (-5) on the left)

Step 2) Subtract 3x from both sides (this will cancel out the (3x) on the left)

Step 3) Subtract y from both sides

Step 4) In order to make the desired variable positive, change the sign of everything in the equation

The step shown above will yield the answer of [tex]y=3x-8[/tex]

Solve m+4>9
Please help

Answers

Answer:

m>5

Step-by-step explanation:

Let's solve your inequality step-by-step.

m+4>9

Step 1: Subtract 4 from both sides.

m+4−4>9−4

m>5

Answer:

m > 5

Step-by-step explanation:

m + 4 > 9

m + 4 - 4 > 9 - 4

m > 5

Here is a rectangle ABCD.
20 cm
30 cm
The length of the rectangle is increased by 20%.
The width of the rectangle is increased by 10%.
Find the percentage increase in the area of the rectangle.
12​

Answers

Answer:

32%

Step-by-step explanation:

Area of rectangle ABCD = 20 * 30 = 600 Sq cm

After increasing the length and width of the rectangle by 20% and 10% respectively.

New length = 30 + 20% of 30 = 30 + 6 = 36 cm

New width = 20 + 10% of 20 = 20 + 2 = 22 cm

Area of new rectangle = 36*22 = 792 Sq cm

Increase in area = 792 - 600 = 192 Sq cm

Percentage increase in area

= (192/600) *100

= 32%

Answer:

nnnnnnnfjnjzfv

Step-by-step explanation:

What is the x-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:5? m 4 m ][xz – xı) + x, -4 -2 2 4 ​

Answers

Answer:

2

Step-by-step explanation:

im sure its 2 i hope this helps

help me please and thank you ​

Answers

i believe the answer is 78.54 , D

Answer:

A 7.85 cm2 should be right

6
Evaluate without using a calculator. Use the Pythagorean identities rather than reference triangles. Find tan and cot 0 if sec 0 = 5
and sin <0.
tanecote =
(Simplify your answers, including any radicals. Use integers or fractions for any numbers in the expressions.)

Answers

Answer:

b

Step-by-step explanation:

help me please! ill give brainliest

Answers

Answer:

Step-by-step explanation:

Here is how you are supposed to plot the number line

Is the relation is a function, explain. {(8, 5), (7, 4), (6, 4), (5, 5)}

Answers

Answer:

Yes, it is a function.

Step-by-step explanation:

As long as there are no more than one x-values for each coordinate, then it is considered a function.

The tape diagram represents an equation.
25
10
w
w
Write an equation to represent the tape diagram.
Choose 1 answer:
A
25 = w - 10
B
25 = 10 + w

Answers

Answer:

25=10+w

Because the value of w that makes the equation true is

w=25_10

w=15

Answer:

Step-by-step explanation:

find the measurement indicated in each parallelogram

Answers

Answer:

UW = EW+UE=2×EW because, EW=UE

7x-2=2×6= 12

7x=14

x=14/7

x=2

2 is the right answer.

4(x)squared+3x+3=6(x)squared-4x=6 find x

Answers

Answer:

I think if yo seperate 4 from x then seperate 3 from x add those together and you get 18.

Step-by-step explanation:

It sounds right.

Quantity of Notebooks Cost
5/$6.00
6/$5.82
7/$6.44
8/$6.80
9/$8.01
The table shows the cost for different quantities of notebooks offered online. Which is the BEST VALUE?
A) 5 notebooks
B) 6 notebooks
C) 7 notebooks
D) 8 notebooks

Answers

i think it’s A, each notebook would be .83 cents

Answer: I think it might be A but then again I am only in 6th grade so, whatever!

Step-by-step explanation:

What is the value of t in this equation?

Answers

Answer:

t = 60

Step-by-step explanation:

Exponents by the power of another exponent multiply.

-12 · -5 = 60

So in this instance, the value of t would be 60.

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