Let x, y, and z represent three rational numbers, such that y is 512 times x and z is 50.25 more than x. If y=15.5, what is the value of z?

Answers

Answer 1

The value of z is equal to 50.28.

System of Linear Equations

System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.

Rational Numbers

These numbers are represented by a ratio between two integers numbers ([tex]\frac{a}{b}[/tex]), where b[tex]\neq[/tex]0.  Besides, this ratio can be simplified in decimal form.

For solving this equation, firstly, rewrite the information given:

                                          [tex]y=512x \;(1)\\ \\ z=50.25+x \;(2)\\ \\ y=15.5 \;(3)[/tex]

As the question gives the values for y, you can find x.

                                        [tex]y=512x\\ \\ 15.5=512x\\ \\ x=\frac{15.5}{512} =0.03[/tex]

Applying x=0.03 in the equation (3), you can find z.

                              [tex]z=50.25+x \\ \\ z=50.25+0.03\\ \\ z=50.28[/tex]

Learn more about the system of equations here:

https://brainly.com/question/384631


Related Questions

Work out
(4 x 10-1) + (4 x 10-1)
Give your answer in standard form.

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(4 x 10-1) + (4 x 10-1)
= 8 x 10-1

HELP ME FIND THE AREA I AM DESPERATE QUESTION IN LINK

Answers

Answer:

4π cm²

Step-by-step explanation:

The area of a circle is [tex]\pi r^2[/tex], where r = radius. We're given the radius as 2 centimeters, and we have to solve in terms of pi.

[tex]2^2 * \pi[/tex] [tex]4*\pi[/tex] [tex]4\pi[/tex] 4π cm²

Therefore, the answer is 4π cm².

Jack burned 150 calories on the elliptical and 210 calories on the treadmill. What do a the ratio of calories burned on the elliptical to calories burned on the treadmill?

Answers

Answer:

5/7

Step-by-step explanation:

When you reduce 150/210 you get 5/7, this is the reduced form

A colony of microbes doubles in population every 6 hours. Explain why we could say that the population grows by a factor of 6 square 2 every hour.​

Answers

Answer:

please mark brainlyest

6 = 200

12 = 400

18 = 800

24 = 1600

30 = 3200

36 = 6400

42 = 12800

48 = 25600

In theory assuming none of them die and they reproduce at a constant rate.

Find the surface area of a rectangular prism with a length of 13 ft,
width of 8 ft and height of 18 ft.

Answers

A=964ft²
Length:13 ft
Width:8 ft
Height:18 ft

HELPPP FOR BRIANLEST!!!!

Answers

Answer:

4/13

Step-by-step explanation:

NOT 2010s and NOT spruce wood (4) over total (13)

4/13 is in its reduced form

Hey there ur answer will be 4/13

PLEASE HELP Giving 50 POINTS PLEASE EXPALIN ANSWER​

Answers

The answer for number 10 and your welcome

PART 1: Julie is incorrect ; 15/4 ≠ 3/2

PART 2: LIZ IS CORRECT

Can someone please help me with this???


1.
Part A: If (26)x = 1, what is the value of x? Explain your answer. (5 points)

Part B: If (50)x = 1, what are the possible values of x? Explain your answer. (5 points)

Answers

Part A:

(26)x = 1

Solve for x by dividing both sides by 26:

X = 1/26


part B:

(50)x = 1

Solve for x by dividing both sides by 50:

X = 1/50

[tex]\\ \rm\Rrightarrow 26x=1[/tex]

[tex]\\ \rm\Rrightarrow x=1/26[/tex]

#B

[tex]\\ \rm\Rrightarrow 50x=1[/tex]

[tex]\\ \rm\Rrightarrow x=1/50=0.02[/tex]

Help me please it’s due by today

Answers

Answer:

D

Step-by-step explanation:

Lateral SA = area of the 4 triangles

Formula to be used :-

Area (triangle) = 1/2bh

=> 4 x 1/2 x 9 x 12

=> 108 x 2

=> 216 cm²

Total SA = LSA + area of the square

Formula to be used :-

Area (square) = side length x side length

=> 216 + 9 x 9

=> 216 + 81

=> 297 cm²

The correct option is (D).

LSA:-

Area of one triangle:-

1/2(Base)(Height)1/2(9)(12)6(9)54cm²

LSA

4(54)216cm²

TSA:-

Area of square:-

side²9²81cm²

TSA:-

81+216=297cm²

2x times -6x in multiplying polynomials

Answers

Answer:

- 1x2x3xX

Step-by-step explanation:

- 6x

One of the factors is - 1

If the coefficient is negative, one of its factors is - 1

⬇️

- 1x6x

Factor the monomial by writing the coefficient 6 as a product of prime numbers

⬇️

Solution

- 1x2x3xx

Work out percentage change when a price of £20 is increased to £50

Answers

Answer:

150%

Step-by-step explanation:

40 euro = 100% change

20 / 2 = 10 (50% of 20)

Add them

40 + 10 = 500

100 + 50 = 150

150%

150%

50 is a 150% increase of 20.

48 divided by 9,853 and whats the r

Answers

The quotient and remainder of 9853 divided by 48 = 205 R 13

explained in image

A cube with 2 meters.explain what happens to the volume of the cube if the length of the sides is doubled pls answer this for me

Answers

Answer:

The volume will be multiplied by 8.

Step-by-step explanation:

If the sides are doubled, what is going to happen to the volume? First, let's find out what the initial volume is first!

The side lengths are 2 meters. With squares/cubes, all sides are equal.

So, the length, height, and width are the same.

For the volume, we need to multiply those values.

2*2*2=8 meters

That's the initial volume.

Now, let's find out what the volume will be once we've double the side values.

2*2=4

The side values are now four.

Let's multiply!

4*4*4=64 meters

It looks like the volume multipled by eight fold.

find the value of x

Answers

Answer: 3

Step-by-step explanation:

What is the solution to this inequality? 3x+7>16 Drag and drop a symbol and number to correctly complete the inequality.

PLEASE HELP!

Answers

Answer:

x > 3

Step-by-step explanation:

Step 1: Subtract 7 from both sides.

[tex]3x+7-7 > 16-7[/tex] [tex]3x > 9[/tex]

Step 2: Divide both sides by 3.

[tex]3x/3 > 9/3[/tex] [tex]x > 3[/tex]

Therefore, the solution is x > 3.

Answer:

[tex]\displaystyle 3 < x[/tex]

Step-by-step explanation:

[tex]\displaystyle 3x + 7 > 16 \hookrightarrow \frac{3x}{3} > \frac{9}{3} \\ \\ x > 3[/tex]

The above answer is written in reverce, and is still the same result.

*Now, in case you did not know how we arrived at the division, seven was deducted from both sides of the inequality to give you [tex]\displaystyle 3x > 9.[/tex]From there, we splat both sides in third to give you the above result.

I am joyous to assist you at any time.

Select all the following that describe the association in the scatter plot

Answers

Answer:

Linear and positive

Step-by-step explanation:

Positive because its going up and linear because its not scattered, its more or less in a line going up

In a math test, there are 16 multiple-choice problems. Correct answer will get 6 points, and wrong answer will deduct 2 points, and leaving the question not answered will get 0 point. Stan has one question not answered, at least how many correct answer(s) should he get in order to get total score not less than 60

Answers

Answer: 10 questions
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Find the distance between the points



(8,8) and (8,-2)

Answers

Answer:

10 is the answer

hello bro

9 + 4 to the third power x (20-8) / 2 + 6

Answers

Answer:

120.25

Step-by-step explanation:

4 to the third power is 64. so 64 + 9 = 83. 20-8 = 18. 6 + 2 = 8.

so 83 + 18 + 8 = 109. so 8 divided by 18 = 2.25. 109 + 9 + 2.25 = 120.25.

A spinner has numbers from 1-5. What is the probability of spinning a multiple of 2?

Answers

The only multiples of two here are 2 and 4. That leaves you with two options out of 5, so the probability is 2/5.

Q2 ) A cylinder with a diameter of 4 ft , and height of 6 ft . Find the VOLUME and SURFACE are of the cylinder .

Answers

Answer:

The volume is ten(10)and the surface is also ten(10)

What is the approximate length of arc s on the circle? 5. 23 in. 41. 87 in. 52. 36 in. 104. 67 in.

Answers

Answer:

need PPO

Step-by-step explanation:

need points I am 5 grade student sorry

A fly was sitting on the ground in the front left corner of your classroom. He flew to the ceiling in the opposite corner of the room. How far did he fly if the room is 12 feet by 8 feet by 9 feet?


A- 12.0 feet
B- 17 feet
C- 14.4 feet
D- 864 feet

Answers

Answer: it should be either A or B

Step-by-step explanation:

sorry if I’m wrong

Manny's Restaurant bought 9 1/4 pounds of onions. The restaurant bought 7 3/4 times as much potatoes as onions. How many pounds of potatoes did the restaurant buy?

Answers

Answer:

71.6875 pounds of patatoes.

Step-by-step explanation:

9.25x7.75 = 71.6875

30 POINTS!!
Create one equation with the distributive property and show the work to solve it.

Answers

Answer:

173

Step-by-step explanation:

6+4/8*2+(4+9)^2-3

6+4/8*2+13^2-3

6+4/8*2+169-3

6+1/2*2+169-3

6+1+169-3

173

3(x + 5)

The distributive property states that you are distributing whatever is outside the parenthesis to all terms within the parenthesis. For complex distributive questions, you will have to simplify the parenthesis first (if you can) before distributing.

In this case, the example given is 3(x + 5).

First, distribute 3 to all terms in the parenthesis by multiplication:

3(x + 5)

= (3 * x) + (3 * 5)

= 3x + 15

3x + 15 is your answer.

~

Another more complex distribute property can involve powers. Take for example:

(7x + 5)²

In this case, you will use the distributive method of FOIL, or (First, Outside, Inside, Last). Set the question:

(7x + 5)² = (7x + 5)(7x + 5)

First: 7x * 7x = 49x²

Outside: 7x * 5 = 35x

Inside: 5 * 7x = 35x

Last: 5 * 5 = 25

Next, combine like terms:

49x² + 35x + 35x + 25

49x² + (35x + 35x) + 25

49x² + (70x) + 25

49x² + 70x + 25 would be your answer.

~

find the volume of the cone

Answers

The volume of the cone is [tex]\frac{1}{3} \pi r^{2}h[/tex]

r: radius --> 6fth: height --> 6ft[tex]\pi[/tex] = 3.14

Volume = [tex]\frac{1}{3} \pi (6)^{2} *6=226.08ft^{3}[/tex]

Hope that helps!

HELPPP FOR BRIANSLST!!!

Answers

Answer:

5/16

Step-by-step explanation:

velvet and acoustic guitar (5) over total (16)

5/16 does not simplify

Is the equation y/x=8 direct variation, inverse variation, or neither? Explain

Answers

Answer:

It's a direct variation, as the ratio between x and y is constant

Determine the value of ∠EBD∠EBD. Show your work.
Giving 18 POINTS

Answers

The value of  ∠EBD is 66°

Vertically opposite angles

Vertical angles are a pair of opposite angles formed by intersecting lines. Vertical angles are equal. Therefore,

∠EBA≅∠CBF

Therefore,

∠EBA = 40 - x

∠EBA  + ∠EBD = 90°(complementary angles)

Therefore,

40 - x + 6x - 30 = 90

5x = 90 + 30 - 40

5x = 80

x = 80 / 5

x = 16

Therefore,

∠EBD = 6(16) - 30 =  66°

learn more on angles here: https://brainly.com/question/10987237

What values are needed to make each expression a perfect square trinomial? x2 4x x2 – 10x.

Answers

The values needed to make each expression a perfect square trinomial is 4 and 25

Answer:

Step-by-step explanation:

4 and 25

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