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?
Enter your answer in the grid.
WHAT IS Z?

Answers

Answer 1

Answer:

z = 50.2802734375

Step-by-step explanation:

y = 15.5

y is 512 times x

z is 50.25 more than x

15.5/512 = 0.0302734375

x = 0.0302734375

0.0302734375 + 50.25 = 50.2802734375

z = 50.2802734375


Related Questions

The current temperature is 48°F. It is expected to drop 1.5°F each hour.
Which equation can be used to find in how many hours, h, the temperature will be 36°F?
A) 36 + 48h = 1.5
B) 48 – 1.5h = 36
C) 48 + 1.5h = 36
D) 36 - 1.5h = 48

Answers

Answer:

B

Step-by-step explanation:

six hundred kilograms of tea were packed in 500 g packets. how many packets of tea were there?​

Answers

Answer:

1200

Step-by-step explanation:

600 in grams = 600 x 1000

= 6 x 10^5

(6 x 10^5) / 500 = 1200.

Answer:

1200 packets

Step-by-step explanation:

1 kg = 1000 gram

600 kg = 1000 × 600 = 600,000

now,

packets of tea were ( 600000 ÷ 1000) = 1200 packets

can someone plssss help
manipulating algebraic fractions ​

Answers

Answer:

the answer is 5x divide by 12

The two figures shown below are similar. What is the value of x?

12
24
19
30

Answers

Answer: 24

Step-by-step explanation:

Corresponding sides of similar figures are proportional.

4 9/10 X 1/4. {State your answer as a mixed number in simplest form.} State your answer as a mixed number in simplest form

Answers

Answer:

1 9/40

Step by step explanation:

\frac{49}{40}=1\frac{9}{40}

Please help! 1/2 (18 + 14) - (18 - 14)^2

Answers

Answer:

the answer should be -185

Answer:

0

Step-by-step explanation:

1/2 (18 + 14)- (18 - 14)^2

=1/2 (32) - 4^2

=16 - 16

=0

Convert 30% to a fraction in lowest terms

Answers

Answer:

3/10

Step-by-step explanation:

Hope this helped

Having difficulty finding the correct explanation for the boxes.

Answers

Answer:

agree - the central angle is 360°/nagree - a hexagon has 6 degrees of rotational symmetryagree - the altitude is r×cos(180°/n)

Step-by-step explanation:

a)

Agree. All radii of a circle are the same length, so any triangle drawn from the center of a circle to points on the circle will be an isosceles triangle. By definition, all interior angles and all side lengths of a regular polygon are congruent. So, an n-sided regular polygon inscribed in a circle can be divided into n non-overlapping congruent isosceles triangles. That means the central angle is 360°/n, a value found based on the rotational symmetry of the figure.

__

b)

Agree. See the explanation in part (a). A regular hexagon has six congruent sides. Each of those can form the base of an isosceles triangle. Hence, the hexagon can be decomposed into 6 congruent isosceles triangles.

__

c)

Agree. The altitude divides each of the isosceles triangles of parts (a) and (b) into two congruent right triangles. The length of the altitude can be found as the product of the radius of the circle and the cosine of half the central angle of the isosceles triangle. That is, trigonometry can be used to find the altitude.

The altitude (apothem of the polygon) is ...

  a = r·cos(180°/n)

_____

Additional comment

A "correct" explanation is one that makes sense to you and your grader. The explanation you read here may not be "correct" in that sense. YMMV

Answer please!!!
Best answer gets brainliest!!!

Answers

Answer:

8

Step-by-step explanation:

hope this is right????

im not sure if i did it correctly but i tryed

For the rotation 379°, find the coterminal angle from 0 <0 360°, the quadrant
and the reference angle,

Answers

To find the coterminal angle, it is similar to going around the entire circle once and then a bit more.

379 - 360 = 19

Coterminal Angle = 19 degrees

---All the way around and a bit more

Quadrant = 1

---Where the angle is

Reference Angle = 19 degrees

---Distance between the x-axis and the angle

Hope this helps!

Plan 1 costs $35 per month + $5 per gigabyte of extra data used
Plan 2 costs $50 per month + $2 per gigabyte of extra data used

Answers

The computation of the equation shows that the extra data that will be used to have the same amount will be 5 gigabytes.

How to compute equation?

Let the amount of extra data used be represented by x.

Plan 1 = 35 + (5 × x) = 35 + 5x

Plan 2 = 50 + (2 × x) = 50 + 2x

35 + 5x = 50 + 2x

Collect like terms

5x - 2x = 50 - 35

3x = 15

x = 15/3 = 5

Learn more about equations on:

https://brainly.com/question/2972832

helpppp
Solve for x.

Answers

Answer:

x = 28.744

Step-by-step explanation:

Seeing as this is a right triangle, and you're given an angle, an unknown measurement to the opposite side, and the measure of the adjacent side. You can use trig functions. In this case, tangent, because you are given the opposite and adjacent, and tangent covers opposite/adjacent.

Tan(32)=x/46

Tan(32)46=x

28.744=x

Write the equation in spherical coordinates. (a) x2 y2 z2 = 64

Answers

The equation in spherical coordinates will be a constant, as we are describing a spherical shell.

r(φ, θ) = 8 units.

How to rewrite the equation in spherical coordinates?

The equation:

x^2 + y^2 + z^2 = R^2

Defines a sphere of radius R.

Then the equation:

x^2 + y^2 + z^2 = 64

Defines a sphere of radius √64 = 8.

Then we will have that the radius is a constant for any given angle, then we can write r, the radius, as a constant function of θ and φ, the equation will be:

r(φ, θ) = 8 units.

If you want to learn more about spheres, you can read:

https://brainly.com/question/10171109

The equation in spherical coordinates is r(φ, θ) = 8 units.

What are the spherical coordinates?

Spherical coordinates of the system denoted as (r, θ, Φ) is the coordinate system mainly used in three-dimensional systems.

The equation of the spherical coordinates is written as;

[tex]\rm x^2 + y^2 + z^2 = R^2[/tex]

Where R is the sphere of radius.

The given equation of the spherical coordinates is;

[tex]\rm x^2 + y^2 + z^2 = 64^2[/tex]

Here 8 is the sphere of radius.

Hence, the equation in spherical coordinates is r(φ, θ) = 8 units.

Learn more about spheres here;

brainly.com/question/10171109

#SPJ4

Write a numerical expression to represent the phrase.

5 more than the product of 12 and 8

Answers

Answer:

(12x8) + 5

Step-by-step explanation:

The product of 12 and 8 would be multiplication, so you can represent that as. (12x8) or 12x8.

Hello!

First of all, "the product" of 2 numbers means you multiply these 2 numbers.

Then, "5 more" means we add 5.

This is how the phrase "5 more than the product of 12 and 8" is written as a numerical expression:

(12×8)+5

[In case you need to simplify it]

96+5

101

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power!

Which of the following is a rational number(s)?
6
7
a.
b.
-1
10
Gold
-3
d. All of these
-15

Answers

The rational numbers includes all positive numbers, negative numbers and zero that can be written as a ratio (fraction) of one number over another. Whole numbers, integers, fractions, terminating decimals and repeating decimals are all rational

I have 936 pencil . A box holds a dozen pencil . How many boxes will I be able to fill​

Answers

Answer:

you will fill 78 boxes

Step-by-step explanation:

dozen = 12

936 divided by 12=78

A teacher assigns a score from 1 to 4 to each student project. the table below shows the probability distribution of the scores for a randomly selected student. which score is most likely? probability distribution score: x probability: p(x) 1 0.06 2 0.20 3 0.48 4 0.26 1 2 3 4

Answers

The generalization of the weighted average is the expected value of a distribution. The score that is most likely to occur is 3.

How to find the mean (expectation)?

The generalization of the weighted average is the expected value of a Probability distribution. It is given by the formula,

[tex]Mean = E(X) = \sum_{\forall x_i} f(x_i)x_i[/tex]

As we need to calculate the score that is most likely to occur, therefore, we need to calculate the expected value of the given probability distribution, therefore, the expected value can be written as,

[tex]E(x) = \sum xP[/tex]

where x is the score and P is the probability of the score occurring.

[tex]E(x) = (1 \times 0.06)+(2 \times0.20)+(3 \times 0.48)+(4 \times 26)\\\\E(x) = 2.94[/tex]

Since 2.94 is the most expected value to occur which is close to 3, therefore, the score that is most likely to occur is 3.

Also, the probability of score 3 coming is maximum which is equal to 0.48.

Hence, the score that is most likely to occur is 3.

Learn more about Expectation:

https://brainly.com/question/4515179

Answer:c

Step-by-step explanation: just took the test

Select all the expressions that are equal to 12x + 36

12(x + 24)

x(12 + 36)

3(4x + 12)

4(3x + 9)

4(3x + 9x)

Answers

Answer:

The answer are

12(x + 24) ❌

x(12 + 36) ❌

3(4x + 12)

4(3x + 9)

4(3x + 9x) (Again?)

Step-by-step explanation:

12x + 36 equals 12(x + 3) (Keep that in mind)

12(x + 24) is not correct because the result is 12x + 288. Therefore, the first option is incorrect. ❌

x(12 + 36) isn't correct either. This is because the result is 48x. Therefore, the second option is incorrect too. ❌

3(4x + 12) is correct because the result is 12x+36, but wait! Remember how I told you to keep 12(x + 3) in mind? Well, when you solve 12x+36, the result is 12(x + 3). Therefore, the third option is correct.

4(3x + 9) is correct because the result is 12x+36 just like the third option, but wait! Since it is the same as the third option, that means that the result will be 12(x + 3). Therefore, the fourth option is correct too.✅

4(3x + 9) is correct because the result is 12x+36 just like the third option, but wait! Since it is the same as the third option, that means that the result will be 12(x + 3). Therefore, the fourth option is correct too. (Again?) ✅

Hope this helped! Keep strong and good luck! :)

Can you mark me brainliest? But wait! It's your choice. I don't have the right to brag. Have a nice day!! :D

Let me know if you want me to help you with anything else. I'll be happy enough to help you. :>

- ✨7272033Alt

help! complete the table with the missing measurements. the perimeter is 40ft is that helps

Answers

therer sorry for the cropped pic btw lol

What are the linear equations for the lines passing through the following points (3,4) and (5,8)

Answers

Answer:

The equation of the line is y = 2x + 2

Step-by-step explanation:

Given:The two points are (3, 4) and (5, 8)

To find:- Equation of a linear line

Solution:-

Equation of a linear line can be placed in the format:

y = mx + c

Formula for finding the slope(m):

[tex] \sf{}m = \frac{x- x_1}{y - y_1} = \frac{y_2 - y_1}{x_2 - x_1} \\ \\ \sf{}m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex] \sf{}m = \frac{8 - 4}{5 - 3} = \cancel \frac{4}{2} = 2[/tex]

Form the intermediate equation:

y = mx + c

[tex] \mathtt{y = 2x + c}[/tex]

Find the y-intercept:

Substitute (3,4) into the equation

[tex] : \longrightarrow \: \mathtt{y = 2x + c} \\ \\ : \longrightarrow \:\mathtt{4 = 2(3) + c} \\ \\ : \longrightarrow \: \mathtt{4 = 6 + c} \\ \\ : \longrightarrow \: \mathtt{c = 6 - 4} \\ \\ : \longrightarrow \: \mathtt{c = 2}[/tex]

Form the equation:

[tex]: \longrightarrow \: \mathtt{y = 2x + c} \: \\ \\ \mathtt{putting \: values \: of \: c} \\ \\ : \longrightarrow \: \mathtt{y = 2x + 2}[/tex]

The equation of the line is [tex]\underline\mathfrak\red{{{y = 2x + 2}}}[/tex]

-
Find the equation of the line that
is perpendicular to y = -2x - 9 and
contains the point (8, -4).

Answers

Answer:

[tex]y=\frac{1}{2} x-8[/tex]

Step-by-step explanation:

The final answer is in the slope-intercept form, which is y=mx +c, where m is the slope and c is the y-intercept.

The slope of a perpendicular line is the negative reciprocal of the slope of the given line (the line it is perpendicular to). Thus, let's find the slope of the given line first.

Given line: y= -2x -9

The above equation is already in the slope-intercept from and thus, the slope is the coefficient of x.

Slope of given line= -2

The coefficient is the number that comes before a variable and it includes the positive or negative sign, which explains why the slope of the given line is -2 instead of 2.

Slope of perpendicular line= [tex]\frac{1}{2}[/tex]

Substitute the value of the slope into the equation:
[tex]y=\frac{1}{2} x+c[/tex]

To find the value of c, substitute a pair of coordiantes the line passes through.

When x= 8, y= -4,

[tex]-4=\frac{1}{2}(8)+c[/tex]

-4= 4 +c

c= -4 -4

c= -8

Thus, the equation of the perpendicular line is [tex]\bf{y=\frac{1}{2} x-8}[/tex].

What is reciprocal?

The reciprocal of a number is 1 divided by that numberFor example, the reciprocal of 2 is [tex]\frac{1}{2}[/tex]In this question, we are interested in negative reciprocal. This means that if the slope of the given line is m, the slope of the perpendicular line is [tex]-\frac{1}{m}[/tex].

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

Answers

Answer: the answer is

Step-by-step explanation:

Helpp me with my sister's math​

Answers

Answer:

the 1/2w +22 one is a binomial

Step-by-step explanation:

a binomial is a equation with one two separate numbers AFTER simplifcation. so "1+1" is not a binomial because its equal to just 2, but "1 + x" is a binomial because its simplifed

HELPPPPPPP URGENT :L

Answers

Answer:

17.5

Step-by-step explanation:

The area for a triangle is (base*height)/2 this means

(5*7)/2 = 17.5 units^2

Answer:

Step-by-step explanation:

base = b = 5 units

height = h = 7 units

[tex]\bf \boxed{\text{Area of triangle = $\dfrac{1}{2}bh$}}[/tex]

                           [tex]=\dfrac{1}{2}*5*7\\\\\\=\dfrac{35}{2}\\\\\\= 17.5 \ square \ units[/tex]

9 and 12 are relatively prime.
True or false

Answers

Answer:

False.

Step-by-step explanation:

Because 12 and 9 are both multiples of 3.

What is the surface area of the figure made from this net?

Answers

Answer:

there is no net? Maybe you forgot to include your attatchement, and without it, I cannot answer your question. sorry...

Step-by-step explanation:

Im deseperate. Find x, y, and z such that x³+y³+z³=k, for each k from one to 100

Answers

Answer:

x = 1, y = -1, and z = 2

3x - 12y = 6
x - 4y = 2
solve by elimination

Answers

3x-12y=6

x-4y=3--(1)x-4y=2--(2)

Lets convert to slope intercept form

4y=x-34y=x-2

Slopes are equal so lines are parallel

Hence no solutions

1 doller bill and a 10 doller bill and for quarters makes what?

Answers

12 dollars.

1+10=11
Then 4 quarters is $1 so you then add a dollar to get
$12

Answer:

12$

Step-by-step explanation:

1 plus 10 from the singular dollar bill and the 10 dollar bill now we have 11 then we add one because there are 4 quarters which are 1 dollar that is why we have 12 dollars

What's the answer pls help

Answers

Answer:

x = 8

Step-by-step explanation:

Both these angles are equal because they are equal. So we make this equation:

8x + 36 = 5x + 60

-5x          -5x

3x + 36 = 60

      -36   -36

3x = 24

Divide both sides by 3:

x = 8

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