John and his three brothers share a cell phone plan. The cell phone company charges a flat rate of $90 per month, which the four brothers share equally. In addition, the cell phone company charges 25 cents per megabyte of data downloaded. Each brother pays for his own downloaded data.
John's share of the current cell phone bill is $147.50.

Which equation determines how many megabytes of data John downloaded?

Answer:

3 3/4 mls ink.

Step-by-step explanation:

2/3 of a box  corresponds to 2 1/2 mls of ink

So one box .............................. 2 1/2 / 2/3 = 5/2 / 2/3

= 5/2 * 3/2

= 15 / 4

=  3 3/4 mls ink.

It would take approximately 3.75 milliliters of ink to print off an entire box of paper. This is based on the given that 2.5 milliliters prints off 2/3 of a box and the conversion to a full box.

The question is asking about the amount of ink it will take to print an entire box of paper. We are given that a printer cartridge with 2.5 milliliters of ink will print off 2⁄3 of a box of paper. So, if 2.5 ml prints 2⁄3 of a box, we want to find out how much ink prints 1 full box. This is a simple ratio question.

Set up the ratios like this: 2.5 ml (ink) / (2⁄3 box) = X ml (ink) / (1 box) Simplifying this, you find that X = 2.5 ml / 2⁄3, which, when calculated, equals approximately 3.75 ml. This means it will take approximately 3.75 milliliters of ink to print off an entire box of paper.

https://brainly.com/question/31549749

#SPJ3

Answer:

y = 1.862x − 0.138

Step-by-step explanation:

The equation of the least squares regression line is ŷ = -173.51 + 4.83x.

The equation of the least squares regression line for a data set is represented as ŷ = a + bx, where a is the y-intercept and b is the slope of the line. To calculate the values of a and b, you minimize the sum of squared errors (SSE). Using calculus, you can determine the values that make SSE a minimum. In this case, the equation of the least squares regression line is ŷ = -173.51 + 4.83x.

https://brainly.com/question/34720926

#SPJ11

Value of expression at x = -3 is 28.

All the mathematical equations which have any variable and constant in them are linear equations where variables are not fixed.

Given expression -2(3x-2)+x+9 at x=-3

simplify equation

-6x+4+x+9  = -5x+13

substitute x= -3

-5(-3)+13 = 15+13= 28

Hence the value at x= -3 is 28

Learn more about linear equations

https://brainly.com/question/29739212

#SPJ5

Answer:

perp. 2

y + 1 = 2(x - 3)

y + 1 = 2x - 6

y = 2x - 7

1.8

to find the circumference of a circle you have to multiple the diameter by pi (3.14). so if you have the circumference already just switch around the equation (since you don’t know the diameter) to 10.99 divided by 3.14 to find the diameter and you get 3.5. but thats the diameter and you have to find the radius so divide 3.5 by two and you get 1.75 and 1.75 rounded to the nearest tenths is 1.8

Answer is provided in the image attached.

Answer:

He buy 12 eggs from grocery.

Because,

1 dozen of a thing(x) = 12 things(x)

#$# HOPE YOU UNDERSTAND #$#

#$¥ THANK YOU ¥$#

❤ ☺ ☺ ☺ ☺ ☺ ☺ ❤

Slope = -6/5

Work is provided in the image attached.

The slope of the line passing through the given points is -6/5.

The slope of a line can be found using the formula: m = (y2 - y1) / (x2 - x1).

In this case, the coordinates of the two points are (-8, -6) and (-18, 6). Applying the formula, we have: m = (6 - (-6)) / (-18 - (-8)) = 12 / (-10) = -6/5.

Therefore, the slope of the line that passes through the points (-8, -6) and (-18, 6) is -6/5.

https://brainly.com/question/34849567

#SPJ3

Answer:

Step-by-step explanation:

Given two parametric equations [tex]x(t)[/tex] and [tex]y(t)[/tex], the first derivative can be found using the following equation:

[tex]\frac{dy}{dx} = \frac{\frac{dy}{dt}}{\frac{dx}{dt}}[/tex]

In this problem, [tex]x(t) = 3e[/tex] and [tex]y(t) = 3^{3t} - 1[/tex]. Finding the derivative of each of these functions with respect to [tex]t[/tex] gives us the following:

[tex]\frac{dx}{dt} = 0[/tex]

[tex]\frac{dy}{dt} = 3^{3t + 1}\log{3}[/tex]

Because [tex]\frac{dx}{dt} = 0[/tex], that means the function is a vertical line and has an infinite first derivative.

Final answer:

The first derivative of the x-component is zero, and the first derivative of the y-component is 27. The second derivatives of both components are zero.

Explanation:

To find the first and second derivatives of the function defined by the parametric equation, we need to differentiate each component with respect to the parameter (in this case, t). Let's start with x = 3e, which is a constant, so its derivative is zero. Next, let's differentiate y = 3^3t - 1. The derivative of 3^3t with respect to t is (3^3)(1) = 27, and since the derivative of -1 with respect to t is 0, the y-component's derivative is 27.

Now, to find the second derivative, we differentiate the derivatives we found. The second derivative of x is still zero since the first derivative is zero. The second derivative of y (27) is also zero since it is a constant. Therefore, the first and second derivatives of the parametric equation are dx/dt = 0 and dy/dt = 27, respectively.

Answer:

I believe it's D.

Step-by-step explanation:

if you add 237 + 228 you get 455. 455 divide by 2 is 227.5 which doesn't make it even.

Answer:

The slope of st is -1/3

Step-by-step explanation:

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

[tex]m1*m2=-1[/tex]

we have

[tex]m1=3[/tex]

substitute and solve for m2

[tex](3)*m2=-1[/tex]

[tex]m2=-\frac{1}{3}[/tex]

therefore

The slope of st is -1/3

Answer:

x = - 4

Step-by-step explanation:

Given

2(x - 8) = x + 5x ← distribute left side and simplify right side

2x - 16 = 6x ( subtract 6x from both sides )

- 4x - 16 = 0 ( add 16 to both sides )

- 4x = 16 ( divide both sides by - 4 )

x = - 4

Answer:

vertex = (4, - 25 )

Step-by-step explanation:

Given a quadratic function in standard form : f(x) = ax² + bx + c : a ≠ 0

The the x- coordinate of the vertex is

[tex]x_{V}[/tex] = - [tex]\frac{b}{2a}[/tex]

f(x) = x² - 8x - 9 ← is in standard form

with a = 1, b = - 8, thus

[tex]x_{V}[/tex] = - [tex]\frac{-8}{2}[/tex] = 4

Substitute x = 4 into f(x) for corresponding value of y

f(4) = 4² - 8(4) - 9 = 16 - 32 - 9 = - 25

vertex = (4, - 25 )

Answer:

vertex is (4,-25)

Step-by-step explanation:

[tex]f(x) = x^2 - 8x - 9[/tex]

To find out the vertex we use formula

[tex]x=\frac{-b}{2a}[/tex]

From the given f(x), the value of a=1, b=-8 and c=-9

Plug in the values in the formula

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

x=4

Now find the value of y

plug in 4 for x in f(x)

[tex]f(4) = 4^2 - 8(4)- 9=-25[/tex]

The value of y is -25

The vertex is (4,-25)

Answer:

Answer: The value of x is 15 units. Step-by-step explanation: In the given triangle RSQ and ΔRST it is given that. ∠RTS ≅ ∠SRQ ≅ 90°.

Step-by-step explanation:

Answer:

20 units

Step-by-step explanation:

I got it wrong with 15 for the cumulative exam on EDGE 2020/2021

Answer:

Step-by-step explanation:

[tex]g(x) = 3x^{2} - 5x + 5[/tex]

[tex]g(2) = 3(2^{2}) - 5(2) + 5[/tex]

[tex]g(2) = 3(4) - 10 + 5[/tex]

[tex]g(2) = 12 - 10 + 5[/tex]

[tex]g(2) = 7[/tex]

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

[tex]3.15.\frac{1}{15}\\\\3.\frac{15}{15}\\\\3.1\\\\3[/tex]

Answer: We start with 6 reams of copy paper and 8 teachers.

a) if we distribute the paper equally between all the teachers, then each teacher receive 6/8  (here we are dividing the total number of reams by the number of people that we are are splitting it). but 6/8 is less than one, so we must open the reams in order to split them.

b) If there were twice as many reams of paper, then we will have 2*6 = 12 reams of paper, and if there where half the number of teachers, then we have 8/2 = 4 teachers.

Doing the same procedure as before, we have 12 teams for 4 teachers, then each teacher has 12/4 = 3 reams

before, each teacher received 6/8 reams, and now, each one receive 3.

if we want to know the change, we need to see the difference between these numbers, so 3 - 6/8 =  3*8/8 - 6/8

notice that i am multiplying the 3 by 8/8, this is one, but  this way i can have the same denominator in both numbers.

24/8 - 6/8 = 18/8 = 9/4 = 8/4 + 1/4 = 2 + 1/4

so each teacher receive 2 + 1/4 reams than before.

Based on Kendra's random selection of 1,000 ninth graders in Florida and finding their average height to be 65 inches, we can make the assumption that the approximate average height of all ninth-grade students in Florida is close to 65 inches.

We have,

The assumption is based on the principle of random sampling, where a representative sample from a larger population can provide valuable insights into the characteristics of the entire population.

By randomly selecting 1,000 ninth graders, Kendra aimed to ensure that the group accurately represents all ninth-grade students in Florida.

While there might be some variation or margin of error, the average height of the sampled group can provide a reasonable estimate of the average height of all ninth-grade students in Florida.

Therefore,

Based on the random sample, we can assume that the approximate average height of all ninth-grade students in Florida is around 65 inches.

Learn more about random samples here:

https://brainly.com/question/29852583

#SPJ2

D,the quadratic function turning point is (-2,-1) while the other graphs change direction at (-2,3)

Step-by-step explanation:

The point where the graph of a quadratic function changes direction is called a turning point.This is the point where the curve changes to face up or down according to the function.The functions in A,B and C have a common turning point (-2,3) that also appears in the table.The function in D has a turning point at (-2,-1) that is different from the other three functions.

Learn More

#LearnwithBrainly

Answer:

-42+10i

Step-by-step explanation:

*start with the square roots

\sqrt{-25} \\ =5i

\sqrt{-100} \\ = 10i

*then insert values

(2+5i)(4-10i)

*Use FOIL to multiply

2x4 + 2x-10i + 5ix4 + 5ix10i

*Simplify

8-10i+20i+50i(squared)

*Add like terms

-42+10i

*( i squared = -1 )

Answer:

850 rounds up to 900

Step-by-step explanation:

if it's 5 or more it will go up, if it were 840 it'll drop to 800

Answer:

180 people

Step-by-step explanation:

If there are 5 people for each table and there are 36 tables, so then you would need to multiply 36 by 5, because you wouldn't want to add 5 people 36 times lol, so then when you multiply them together, you would get 180 people in total in the restaurant. :-)

hope this helped! ♡

Answer:

answer to question a is -14

answer to question b is 10

answer to question c is -56

answer to question d is -18

Step-by-step explanation:

Answer:

The answer to your question is below

Step-by-step explanation:

Absolute value of  a number, is the value without considering its sign. For example, when we measure distance, we do not say -50 meters, we say "50 meters" because for distance, do not exist negative values.

(A) What is the absolute value of |-10 + -4|

                        | - 10 + -4|  = | - 10 - 4| = | - 14 | = 14

(B) what is the absolute value of |5+2|

                        | 5 + 2 | = |7| = 7

(C) what is the absolute value of |--8.7|

                           | - - 8.7 | = | 8.7 | = 8.7

(D) what is the absolute value of -|-9.2|

                         - | - 9.2 | = - 9.2

Answer:

$1.10

Step-by-step explanation:

We have been that Alex went to the grocery store and bought 5 avocados. He paid $10 and received $4.50 in change.

First of all, we will find amount paid for 5 avocados by subtracting $4.50 from $10.

[tex]\text{Amount paid for 5 avocados}=\$10-\$4.50[/tex]

[tex]\text{Amount paid for 5 avocados}=\$5.50[/tex]

Now, we will divide $5.50 by 5 to find cost of each avocado.

[tex]\text{Cost of each avocado}=\frac{\$5.50}{5}[/tex]

[tex]\text{Cost of each avocado}=\$1.10[/tex]

Therefore, the cost of each avocado is $1.10.

Answer:

8.5 (plz give me the brainliest answer for this!!!!!!!!)

Step-by-step explanation:

43-3d=d+9

34=4d

8.5=d

Have a nice day!!!!!!!! :-)

KA

Answer: 8.5=d

Step-by-step explanation:

First u need to subtract nine on both sides of the equal sign canceling the nine on the right side, then it will leave you with 34-3d=d so then u add 3d to both sides again canceling the 3d on the left side, which leaves u with 34=4d then just divide the 4 on both sides leaving u with 8.5=d

Answer:

A proof that square root of 2 is irrational. ... An equation x² = a, and the principal square root ... The number under the radical sign is called the radicand. ... the given square numbers, each product of square numbers is equal to what square ... are relatively prime -- and it will be impossible to divide n· n into m· m and get 2.

Step-by-step explanation:

Rational numbers are numbers that can be represented as a fraction of two integers. For [tex]\sqrt{76 + n}[/tex] and [tex]\sqrt{2n + 26}[/tex] to be rational, the smallest value of n is 5

Given that:

[tex]\sqrt{76 + n}[/tex] and [tex]\sqrt{2n + 26}[/tex] --- correct expressions

For both numbers to be rational, we should be able to represent the numbers as a fraction of two integers.

There are no straight ways to solve this, except trial by error.

When [tex]n = 1[/tex]

[tex]\sqrt{76 + n} = \sqrt{76 + 1} = \sqrt{77} = 8.77496.......[/tex]

The above is not rational

When [tex]n = 2[/tex]

[tex]\sqrt{76 + n} = \sqrt{76 + 2} = \sqrt{78} = 8.83176......[/tex]

The above is not rational

When [tex]n = 3[/tex]

[tex]\sqrt{76 + n} = \sqrt{76 + 3} = \sqrt{79} = 8.88819......[/tex]

The above is not rational

When [tex]n = 4[/tex]

[tex]\sqrt{76 + n} = \sqrt{76 + 4} = \sqrt{80} = 8.944271......[/tex]

The above is not rational

When [tex]n = 5[/tex]

[tex]\sqrt{76 + n} = \sqrt{76 + 5} = \sqrt{81} = 9[/tex]

The above is rational

So, we try [tex]n = 5[/tex] for the second expression

[tex]\sqrt{2n + 26} = \sqrt{2\times 5 + 26} = \sqrt{10 + 26}=\sqrt{36}= 6[/tex]

The above is also rational

Hence, the smallest value of n that makes each of the expression rational is [tex]n = 5[/tex]

Read more about rational numbers at:

https://brainly.com/question/3386568

Answer:

$342.63

Step-by-step explanation:

0.19 * 423 = 80.37

423 - 80.37 = 342.63

Answer:

Wrong

Step-by-step explanation:

Since 54 / 12 is 4.5

Answer:

Step-by-step explanation:

the answer is b

Answer:

The answer is y = 11.