x:y=5:3 and x+y=56 work ouy the value of x and y​

Answers

Answer 1

Answer:

x=35, y=21

Step-by-step explanation:

A way to rewrite the first equation is  [tex]\frac{x}{y} =\frac{5}{3}[/tex]

after cross-multiplying, we get 3x=5y.

If we solve for one variable, we can substitute it into the other equation.

Let's solve for x.

3x=5y

x=(5/3)y

Now, we can substitute x=(5/3)y in the equation x+y=56.

(5/3)y+y=56

(8/3)y=56

y=21

Going back to x+y=56, we can now plug back in y, knowing that it is 21.

x+21=56

x=35.


Related Questions

I'm am very confused with this question.

Answers

Answer:

103°

Step-by-step explanation:

This is a cyclic quadrilateral (all vertices on the same circle)

Opposite angles are supplementary:

∠A +  ∠C = 180° ∠B +  ∠D = 180°

Find x:

x + 5 + x - 7 = 180°2x - 2 = 180°2x = 182°x = 91°

Find D:

∠D = x - 14°∠D = 91° - 14° = 77°

Find B:

∠B = 180° - 77° = 103°

Jillian has a circular pool in her backyard with a diameter of 24 feet. What is the circumference of the pool rounded to the nearest tenth of a foot? Use 3.14 for

Answers

Answer:

75.36

Step-by-step explanation:

r = radius

pi = 3.14

You know the diameter (2*r) is equal to 24 feet

using the formula for diameter you get 2r = 24

now, you can either solve for r (radius) and plug radius into the formula for circumference OR you can use the 2*r value of 24 feet and plug that into the formula for circumference

if you solved for r directly, you would get r = 12

- then you plug r into the circumerference formula 2*pi*r (where pi  3.14) and you would get 75.36

if you used the diameter value of 2*r, all you would have to do is multiply the given diameter value by pi (3.14) and you would get 75.36

UNIT: feet

NOTE

- you can use the diameter value and simply multiply that by pi because the formula for diameter is 2*r and the formula for circumference is 2*r*pi  

I hope this helped :)  

Pleaseeeee help!! QUESTION 17

Answers

Answer:

i believe it is A

Step-by-step explanation:

simplify (0.01)^(-0.5)​

Answers

Answer:10

Step-by-step explanation:

In fraction,

(1/100)^(-1/2)

Equivalent to 1/((1/100)^(1/2))

Power 1/2 is basically square root

So we have 1/(1/10) after applying square root to 1/100

so final step

1 divide (1/10) = 10

I need help quick!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

the answer f (x)=sinx

Step-by-step explanation:

Please help .........

Answers

try socratic to answer that, it’s helped me

PLS ANSWER 10 POINTS!!

Answers

Answer:

the answer is 58°

Step-by-step explanation:

90 - 32 = 58

Find the Surface Area 17 cm 4 cm 10 cm​

Answers

Im assuming this is a rectangular prism. 2(17)(4)+2(17)(10)+2(4)(10)=556

No links please and make sure its correct.

Answers

Answer:

it is B

Step-by-step explanation:

he is putting in by the 3/5

Answer:

C.

Step-by-step explanation:

Why its C...

You can tell that on the top it say that the total is 15 so it can not be a. So now our answer choices are B, C, ad D.

Now it says that there are 3/5 highlighted but since the rest say 3/5 we can not eliminate yet.

Next we would multiply 3 x 3 to get 9 for how many dollars there are. Cross out B.

Between C and D, C is the most reasonable answer because it says how much did he put in the bank while the other one (D) says how much did he spend?

So it would be C

Hope this helps :)

The weight of a bass varies jointly as its girth and the square of its length (Girth is the distance around the body of the fish.) A prize-winning bass weighed in at 21.8 lb and
measured 33 in long with a 19-in girth. How much to the nearest tenth of a pound) would a bass 34 in long with a 21-in girth weigh?
The bass would weigh approximately
(Do not round until the final answer. Then round to the nearest tenth as needed.)

Answers

The new girth is 22 inches; the reference girth is 20 inches. The weight is proportional to the girth, so the reference weight will get multiplied by 22/20 = 11/10.

Step-by-step explanation:

A rectangular room is 1.6 times as long as it is wide, and its perimeter is 34 meters. Find the dimensions of the room.​

Answers

Answer:

Step-by-step explanation:

x=1.6w and 2w+2x=34.

Simply substitute for x in the perimeter equation, and solve for w. Now compute x.

plz help. I Need help with it

Answers

Answer:

O that easy just flip the sign for example - becomes + becomes-

this is an is simple trick I learn hope it helps you.

Step-by-step explanation:

so k goes to -3 j goes to -2

I need help ASAP please

Answers

The answer will be x= 12.4

Answer:

x = 12.4

Step-by-step explanation:

[tex] \tan(54) = \frac{x}{9} \\ x = \tan(54) \times 9 \\ x = 12.3874 \\ to \: the \: nearest \: tenth \\ x = 12.4[/tex]

I hope that is useful for you

In 1995 you purchased some land for $8000.
The value of the land depreciates by 4%
every year. Use an exponential decay
function to find the approximate value of the
land in 2002. Use y = a(1-r)
A. $5760
B. $5771
C. $6012
D. $6262

Answers

Answer:

C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

You are removing 20 dollars a year.

I would really appreciate it if someone could answer this I will give a brainlist:)

Answers

97 is your answer to the question

Answer:

x = 97

Step-by-step explanation:

a^2 + b^2 = c^2

(65^2) + (72^2) = c^2

4,225 + 5,184 = c^2

9,409 = c^2

√9,409 = 97 = c^2

97 = c

97 = x

A cardboard box in the shape of a rectangular prism has the dimensions shown. Write a polynomial in standard form to represent the volume of the box.

Answers

Answer:

[tex]Volume = x^3 +3x^2 -16x +12[/tex]

Step-by-step explanation:

Given [missing from the question].

The dimensions are:

Length =(x + 6), Width = (x - 2) and Height = (x -1)

Required

Represent the volume as a polynomial

Volume is calculated as:

[tex]Volume = Length * Width * Height[/tex]

So:

[tex]Volume = (x + 6) * (x - 2) * (x - 1)[/tex]

Expand

[tex]Volume = (x + 6) * (x^2 -2x -x +2)[/tex]

[tex]Volume = (x + 6) * (x^2 -3x +2)[/tex]

Expand

[tex]Volume = x^3 -3x^2 +2x +6x^2-18x +12[/tex]

Collect like terms

[tex]Volume = x^3 -3x^2+6x^2 +2x -18x +12[/tex]

[tex]Volume = x^3 +3x^2 -16x +12[/tex]

a patients dose of medication increased from 100mg to 150mg. What is the percent increase in medication?

Answers

Answer:

The answer is 50% increase. Hope this helped!

Step-by-step explanation:

50% is the correct answer to this problem hope it helps

cougar park is shaped like a parallelogram and has an area of 1/16 square mile. its base is 3/8. what is its height?

Answers

I believe the height is 1/6

When you divide 1/16 and 3/8 it equals 1/6

I have a 74 average in my math class, And I get a 100 on my quarter finals exam the exam is 30 percent of my grade what is my grade after I get a hundred on my quarter final exam
(23 points btw)

Answers

Answer:

u will have a 100 meaning a A+

Step-by-step explanation:

An 8-pound bag of apples costs $6.32. What is the cost per pound

Answers

Answer:

$0.79

Step-by-step explanation:

Answer:

$0.79

Step-by-step explanation:

There are two ways to solve this. You can either set it up as a proportion or just divide 8 by $6.32. Be careful if you just divide, however, that you don't divide it the wrong way. 8 divided by 6.32 will give you a different answer than 6.32 divided by 8. Setting up a proportion may be harder and longer, but it is definitely the safer way to go.

Proportion:       [tex]\frac{6.32}{8} = \frac{x}{1}[/tex]          6.32 = 8x     6.32 ÷ 8 = 0.79      x = 0.79

79 cents is your answer.

I hope this helps you understand a bit better. Please let me know if you need any more help. I'm happy to help any time! :) Have a great day!

Simplify this fraction: 36/168 show work pls

Answers

Answer:

0.214285714

Step-by-step explanation:

when you divide the numbers, you get 0.214285714.

36/168 = 0.214285714

Answer:

3/14

Step-by-step explanation:

first starting from 36/168, you can divide both by 3, which would be 12/56. then you can divide both numbers by 4, which would become 3/14, which is the in the most simplified form.

A piano teacher is interested in knowing how many of her students plan to take time off from lessons during the summer months. She surveys each student on Monday and determines that about 50% of her students plan to take time off.

She then repeats her study with her students on Tuesday, Wednesday, Thursday, and Friday. All surveys yield the same results. What generalization can the piano teacher make?

A.
The sample is biased; therefore, a generalization cannot be made regarding how many of her students plan to take time off this summer.
B.
About half of her students plan to take time off this summer.
C.
There is not enough information to generalize the survey results.
D.
Most of her students plan to take time off this summer.

Answers

Answer: B

About half of her students plan to take time off this summer.

Step-by-step explanation:

The generalization that can be made by the piano teacher is about half of her students plan to take time off this summer.

What is the generalization that can be made?

A survey is when a particular group of people are asked about their preferences or opinion on a particular subject matter. The piano teacher asked students from the classes on Monday through to Saturday if they would take time off.

The result was that 50% of the students would take time off. Thus, it can be generalized that about half of her students plan to take time off this summer.

To learn more about probability, please check: brainly.com/question/11234923

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Please help i'll mark brainliest

Answers

Answer:

it issssss sass ccccccccccccccccccc

PLEASE HELP! 50 POINTS!

Answers

Answer:

Uh, I am not positively sure if this is wrong or no so if it is I'm honestly sorry...

I'm sure it is right but I have a feeling that it's wrong...

Step-by-step explanation:

Create equivalent expressions in the equation that all have equal bases, then solve for  x  

Exact Form:  x  =  1 /2

Decimal Form:  x  =  0.5

( Also please DON'T come for me if it is wrong)

Please help, I don't know what this is, thank you

Describe these points with a double inequality

Answers

These points can be described the following double inequality:  -3≤x≤13.

Inequalities

Inequality is a mathematical expression that does not present equality between both sides. It is represented by symbols: <, , > and .

When the variable x is between the both extremes, the inequality will be called double inequality. Therefore, the double inequality can be written in the form below .

a<x<b is equivalent to  x>a and x<ba>x>b is equivalent to x<a and x>ba≤x≤b is equivalent to  x≥a and x≤ba≥x≥b is equivalent to  x≤a and x≥b

As the interval is represented by a closed dot, your interval inequality must be represented by signs ≤ or .

Thus, the points of this question can be described as: -3≤x≤13.

Read more about the double inequality here:

https://brainly.com/question/13707794

Question 1 (1 point)

Andy bought total of 5 pairs of shoes and soxes. He bought some pairs of shoes and some pairs of soxes.

Set the variabloes as follows:

X = number of pairs of shoes

Y = number of pais of soxes

Which equation shows the total number of shoes and soxes he bought?

2x + 5 y =7

2X + 3 Y = 5

X + Y = 5

7Y - 2x = 5x

Answers

Answer:

The  equation that shows the total number of shoes and soxes he bought is x+y=5.

Step-by-step explanation:

Given that statement says that Andy bought total of 5 pairs of shoes and soxes this means that the equation would indicate that the sum of the number of pairs of shoes plus the number of pairs of soxes is equal to 5, which can be expressed as:

x+y=5

The other answers are not right because the numbers of pairs of shoes and soxes are multiplied by another number and the statement indicates that the pairs of shoes and soxes is equal to 5.

PLS HELP
Find h. 11 in. h = V[?] in. 14 in Enter​

Answers

Answer:

[tex]h=8.48\ \text{inches}[/tex]

Step-by-step explanation:

Given that,

Radius of cone, r = 7 inches

Slant height of the cone, l = 11 inches

We need to find the height of the cone. Let the height be h. Using trigonometry to find it as follows :

[tex]h^2+r^2=l^2\\\\h=\sqrt{l^2-r^2}\\\\h=\sqrt{11^2-7^2}\\\\h=8.48\ \text{inches}[/tex]

So, the height of the cone is equal to [tex]8.48\ \text{inches}[/tex].

Will mark brainliest for any help on finding third leg!

Answers

Answer:

12.5 !!!!

Step-by-step explanation:


Charlie is watching hot air balloons. Balloon A has risen at a 60° angle. Balloon B has risen at an 82 angle. If the distance from balloon A to the ground is 1400 feet, how far is balloon B from balloon A? Round your answer to the nearest whole number.

999 feet
1005 feet
1052 feet
1102 feet

Answers

Step-by-step explanation:

b is the anwser or 1005 so there u go

the distance between balloon A and balloon B IS 1005 Feet

What is height and distance ?

Height is the measurement of an object in the vertical direction and distance is the measurement of an object from a particular point in the horizontal direction.

According to the question,

Angle ADC = 60  degree

Angle BDE = 82 degree

Ac = 1400 Feet

In right angle triangle ACD,

Tan(x)= AC/CD

Tan(60) = 1400/CD

CD = 1400/[tex]\sqrt{3}[/tex]

CD = 808.3

In triangle BDE,

Tan(y) = BE/DE

Tan(82) =  1400/DE   { Tan(82) = 7.115 }

DE = 1400/7.115

DE = 196.8

the distance between balloon A and balloon B =CD + DE

                                                                               = 808.3 + 196.8

                                                                               =   1005 Feet

Hence, the distance between balloon A and balloon b is 1005 feet

To learn more about height and distance from here,

https://brainly.in/question/7449781

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The area of the triangle below is 17.28 square centimeters. What is the length of the base? hight 5.4

Answers

the length is 6.4 cm
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