×/2=y/3; y/4=z/4 và x+2y-z=10

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]\dfrac{x}{2}=\dfrac{y}{3}\\\\[/tex]

Cross multiply,

3x = 2y    ------------(I)

[tex]\dfrac{y}{4}=\dfrac{z}{4}\\\\4*\dfrac{y}{4}=\dfrac{z}{4}*4\\\\y=z[/tex]

y = z --------------(II)

Plugin y =z in (I)

3x = 2z

3x/2 = z  ----------------(III)

x + 2y - z = 10

From (I) and (III)

[tex]x + 3x - \dfrac{3x}{2}=10\\\\4x - \dfrac{3x}{2}=10\\\\Multiply \ the \ entire \ equation \ by \ 2\\\\2*4x - 2*\dfrac{3x}{2}=10*2\\\\8x - 3x = 20\\\\5x = 20[/tex]

Divide both sides by 5

x = 20/5

x = 4

Plugin x = 4 in (I)

3*4=2y

12 = 2y

2y = 12

y = 12/2

y  = 6

z = y

z = 6


Related Questions

Jill read 9 pages. Sam read 3 times as many pages as Jill. How many pages did both Jill and Sam read?
12
27
36
45

Answers

Answer:

Together, Jill and Sam read 36 pages.

Step-by-step explanation:

9 + (9 * 3)

9 + 27

36

Answer:

27

9x3 is 9+9+9 then its 27

The price of the shirt on sale is 80% of the original price. If the original price was 35$, what is the price of the shirt on sale

Answers

Step-by-step explanation:

28 dollars is the answer

Simplify −n+(−4)−(−4n)+6

Answers

Answer:

2+3n

Step-by-step explanation:

-n+(-4)-(-4n)+6-n-4+4n+6-4+6-n+4n2+3n

HOW TO FIND A FRACTION OF THE ENGLISH ALPHABET IS A SET OF CONSENENTS

Answers

Answer:

21/26

Step-by-step explanation:

In the simplest categorization, English has 26 alphabets. Out of which, 5 are vowels and rest 21 are consonants.

so the fraction would be 21/26

Please answer these and find the slope intercept form for each one.
Best answer gets brainiest!

Answers

5/ y=-2/3x +3. 6: y= 7/1-4. 7: y=2/5x 8: y= -3/4x +1
Y=-3/4x7 I think I could be wrong

the cost of plastering the wall of a room which is 4m high and breadth is one third of its length is Rs 640 at the rate of Rs 5/ meter square. What will be the cost of carpeting its floor at rate of rs 250/ meter square.

Answers

Answer:

Step-by-step explanation:

Please refer to the attachement. I defined the height (H), width (W), and length (L) and set:

H = 4m and W = (1/3)L. The total cost of 640 Rs/m^2 is divided by the rate cost of Rs 5/m^2 to give 128 m^2 that was plastered. The total area of the walls must be 128 m^2, so then calculate the total wall area: The walls for the length are 2*LH and for the width are 2*WH. Substituting, we have a total of 8*L + (4/3)L = 128 m^2. Solve for L to obtain L = 12m. W is 1/3L, or 4m. The room is (W,L,H) 4, 12, and 4 meters. The floor is W*L, or 48m^2. At Rs 250/m^2, the rug will cost Rs 12000. Ouch.

9+99999999999999999999

Answers

Answer:

1e20 or written as 100,000,000,000,000,000,008

what is the answer when you round 522 254 to the nearest 10​

Answers

Answer:

522250

How to round to the nearest tenth:

Whenever you want to round a number to a particular digit, look only at the digit immediately to its right. For example, if you want to round to the nearest tenth, look to the right of the tenths place: This would be the hundredths place digit. Then, if it is 5 or higher, you get to add one to the tenths digit. If it is 4 or lower, the tenths digit remains the same.

For example, 3.58 can be rounded to 3.6 because the hundredths place digit, 8 is greater than or equal to 5.

3.32 would be rounded to 3.3, because the hundredths place digit, 2, is less than 5.

If the original quantity is 10 and the new quantity is ​14, what is the percent​ increase?

Answers

Answer:

40% increase

Step-by-step explanation:

10 is you 100%

if it increased to 14, then that means your 100% = 10 increased +4 which is the 40%

Help Please!!!!!!!!

Answers

I’m not sure but I think the answer would be 40

Answer:

40

Step-by-step explanation:

both angles are corresponding angles which means both are equal

i.e

4x-50 = 2x+30

4x-2x = 50+30

2x = 80

x = 80/2

therefore x = 40

keep smiling

Help, show work aswell please​

Answers

Answer:

Hey I got you!!

Step-by-step explanation:

Main points made:

* 3/4 teaspoon for every 2 cups of milk

* Sally wants to know how many teaspoons are required for 3 cups of milk

In this situation I divided 3/4 by 2, which got me 0.375. Then I converted 3/4 to a decimal, which is 0.75. Next, I added 0.375 and 0.75 which equals 1.125. From there I converted 1.125 to a fraction.

My final answer was 9/8 or 1 1/8. Hope this helps! :)

The perimeter of a triangle is (x
3 + 2x
2 − x − 1) cm. The lengths of two sides are

(7x
3 + 12x − 7) cm and (2x
3 − 3x
2 + 5x − 11) cm. Find the length of the remaining side of

the triangle.

Answers

Step-by-step explanation:

A=7x+3+13x-7

B=2x+3-3x

P=x+3+2x+2-x-1(hope those are the numbers)

C=?

7x+3+13x-7+2x+3-3x+C=x+3+2x+2-x-1

22x-1+C=2x+4

C=2x+4-22x+1

C=-20x+3

The table below shows the amount of money
needed to buy different number of paint
buckets. What number should replace x?
Bucket Price
($)
5
25
6
30
7
X
8
40
II
Your answer
Explain how you got the answer you entered for #1. *
Your answer

Answers

Answer:

35

Step-by-step explanation:

if you multiply all of the numbers in the first boxes by five, those numbers would be correct. So if you multiply 7 by 5, your answer would be 35

9 + x =19 what does x equal?

Answers

Answer:

10 because 19 - 9 = 10 it works the same way for addition just swap the signs

Please help, I’ll mark your answer as brainliest!

Answers

the answer would be
7b+4

Consider these functions:
f(x) = -1/2x^2 + 5xf(x) = -1/2^2 + 5x
g(x) = x^2 + 2g(x)= x^2 + 2
What is the value of f(g(-2))?

Answers

Answer:

Answer is 12

Step-by-step explanation:

f(g(-2))

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

=f(6)

=-1/2×6^2+5×6

=12

guys pls help me!!!!!!

Answers

x=167⁰ (alternate or z angles)

What is the answer to 11(3x + 5y)

Answers

Answer:

33x + 55y

Step-by-step explanation:

1. To simplify this expression, we have to apply the distributive property. To utilize this property means to distribute (or multiply) the quantity outside the parentheses by the quantities inside the parentheses.

[tex]11(3x+5y)[/tex] [tex](11)(3x)+(11)(5y)[/tex] [tex]33x + 55y[/tex]

Therefore, the answer is 33x + 55y.

Distribute 11 to 3x and 5y
33x+55y

If Keenan makes a basket with 6 apples, what is the ratio of apples to oranges written as a fraction?

Answers

the answer i believe is 6:4

The ratio of apples to oranges, written as a fraction If Keenan makes a basket with 6 apples, is 5 / 4.

What is a fraction?

Only verbal descriptions of a portion of the whole were used to write fractions in ancient Rome. The numerator and denominator of fractions are first written in India with one number above the other but without a line. The line used to divide the numerator and the denominator were only added by Arabs.

Given:

For every 4 oranges, there are 5 apples,

Keenan makes a basket with 6 apples,

Calculate the number of oranges as shown below,

The number of oranges = 4 / 5 × 6 = 24 / 5

Calculate the fraction of apples to oranges as shown below,

Ratio = The total number of apples / The number of oranges

Ratio = 6 / 24 / 5

Ratio = 30 / 24

Ratio = 5 / 4

Thus, the ratio is 5 / 4.

To know more about fractions:

https://brainly.com/question/61672

#SPJ5

The complete question is:

For every 4 oranges, there are 5 apples, If Keenan makes a basket with 6 apples, what is the ratio of apples to oranges written as a fraction?

Which function has a domain of {all real values of x : x does not equal 1)? **Hint: Graph the function and look for an asymptote where x does not equal 1.

See attached below..

Please help, I need an explanation because I don’t understand how this works.

Answers

Uhhh… this is a bad question. Because technically, none of those is the true correct answer. However, the only answer that it COULD be is B. If you were to plug in 1 into B, you’d get 0 in the denominator which creates an asymptote in the graph. None of the other three have this property

(Just a side rant, the reason none of them are technically correct is because x cannot equal -1 either… just some bonus points you could redeem with your teacher if you feel like it)

When you rotate a figure, does every point move the same distance? Explain.

Answers

Answer:

Yes

Step-by-step explanation:

Because the figure is only 1 product or thing

Yes. Since the angle of rotation is the​ same, the distance that each point moves is the same.

Which is an expression that represents the horizontal side length of the triangle? Give the points(x,y) and (5,7) Lie on the line

Answers

Answer:

x - 5

Step-by-step explanation:

The x-coordinate of the left endpoint is 5.

The x-coordinate of the right endpoint is x.

length = x - 5

sorry to ask this late on Friday but stuck at home without a calculator Plllleeeaaassseee Hep me!!!!!!!!!!!!!!!!!!!!!!

5+842+6666+7432+84 x 4

Answers

Answer:(:

Step-by-step explanation:

15281

solves the equation
8x-2 =3(x-9)

Answers

Answer) x = -5
8x-2=3(x-9)

Answer:

-5.2

Step-by-step explanation:

At the end of a snowstorm, Grace had 15 inches of snow on her lawn. The
temperature then increased and the snow began to melt at a constant rate of 2.5
inches
per hour. Assuming no more snow was falling, how much snow would Grace
have on her lawn 2 hours after the snow began to melt? How much snow would Grace
have on her lawn after t hours of snow melting?

Answers

Part 1

The snow melts at 2.5 inches per hour. After 2 hours, 2*2.5 = 5 inches has melted overall. We started with 15 inches, so there are 15-5 = 10 inches of snow left after 2 hours.

Answer: 10 inches of snow

==================================================

Part 2

Let t be the number of hours that have elapsed. Because the snow melts at a rate of 2.5 inches per hour, this means after t hours, 2.5t inches of snow melts away. Subtract this from the 15 inches we start with to get 15-2.5t. This expression is the same as -2.5t+15

Answer:  Either 15-2.5t or -2.5t+15

There are 60 runners in a race. How many ways can the runners finish​ first, second, and​ third?

Answers

Answer:

There are 720 possible results.

Step-by-step explanation:

You want to buy three books that are on sale at 20% off. The original prices of the books are $2.50, $4.95, and $6.00. How much will you save?
I already know how to do it with With Distribution, Can somebody please do the Calculation Without Distribution?

Answers

First you add up al the original prices which is 2.50, 4.95, and 6.00 and you should get 13.45

Then you would do 13.45 times 20 and you should get 269 and now you divide 269 by 100 and that would be 2.69 and thats 20% off now take 13.45 your total subtracted by your 20% off which is 2.69 and you would get 10.76 and thats your total

Please help I need to finish his before school.

Answers

Answer: m = 1
b = 0
y = 1x + 0

Explanation:

The formula is

Y = mx + b

Where m is the slope and b is the y intercept.

So don’t the y intercept witch is 0 and the slope which is 1

Hope this helps

10.

Match the graph with the correct equation.

A. y + 3 = –(x + 5)
B. y – 5= –(x + 3)
C. y – 3 = (x + 5)
D. y – 3 = –(x + 5)

Answers

Answer:

D. y - 3 = -(x + 5)

Step-by-step explanation:

I used a calculator called m.a.t.h.w.a.y !

Answer:

D. y – 3 = –(x + 5)

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope:  

1

y-intercept:  

(

0

,

2

)

x

y

0

2

1

3

Factor 1/2 out of (1/2d + 6)

Answers

Answer:

6/7

Step-by-step explanation:

i watched a video

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