under her cellphone plan, makayla pays a flat cost of $47.50 per month and $5 per gigabyte. She wants to keep her bill at $70.50 per month. How many gigabytes of data can she use while staying within her budget?

Answer:

(6, -31)

Step-by-step explanation:

Answer:

I think (6, -31)

Answer: no

Step-by-step explanation: hope this helps

x best represent the width of the rectangle and x + 12 best represents the length of the rectangle.

The length of the rectangle is 12 inches more than it width.

The width of the rectangle can be found as follows:

The perimeter of the rectangle is 42 inches.

Therefore,

perimeter of a rectangle = 2(l + w)

where

Hence,

perimeter of a rectangle = 2(l + w)

The length of the rectangle is 12 inches more than it width.

Therefore,

let

x = width

Hence,

length = 12 + x

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The projected weight overstated is 86.92 lbs.

Arithmetic operations is a branch of mathematics, that involves the study of numbers, operation of numbers that are useful in all the other branches of mathematics.

Given:

Baggage weight projected was 2,182 1/4 lbs = 2182.25 lbs

The actual weight is 2,095 1/3 lbs = 2095.33 lbs

So, the overstated weight is

=2182.25 -  2095.33

=86.92 lbs

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Answer:Zero-0 divided by 8 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Because 8 2/3 is basically 8.66666666... (you can find this out by doing division 2÷3)

There's an infinite amount of 6's at the end and so the answer got rounded up to 8.67.

Anything above 5 when rounding will be rounded up.

Answer:

$567.88

Step-by-step explanation:

Start with the beginning balance.

Add all the mounts of checks and subtract the total from the beginning balance.

Add the amount of the deposit to the balance.

Beginning balance: $887.43

Withdraw: $435, $58.27, $127.96

Total withdrawals:  $435 + $58.27 + $127.96 = $621.23

Deposit: $301.68

Final balance = beginning balance - total of checks + amount of deposit

Final balance: $887.43 - $621.23 + $301.68 = $567.88

Answer: $567.88

In quartic equation, The player will catch the ball on its way down, at about 4.346 seconds. .

What is the quartic equation's formula?

h  =  -16t2 + 70t + 4

We want to know how many seconds it takes for the ball to be 6 feet above the ground.

We want to know the value of  t  when  h = 6 .  So plug in  6  for  h  and solve for  t .

6  =  -16t2 + 70t + 4       Subtract  6  from both sides of the equation.

0  =  -16t2 + 70t - 2        Let's solve this quadratic equation using the quadratic formula.

t = -70 ± √70² - 4( -16)(-2)/2(-16)

t = -70 ± √4900 -128/ -32

t = -70 ± √4772/ -32

t = -70 + √4772/ -32 ≈ 0.029

t = -70 - √4772/ -32  ≈ 4.346

So we know that

(a) at 0.029 seconds, the ball is 6 feet above the ground and on its way up,  and

(b ) at 4.346 seconds, the ball is 6 feet above the ground and on its way down.

The player will catch the ball on its way down, at about 4.346 seconds.

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1. The child's height after age 6 is a linear function of his age because it grows at a constant rate annually.

2. The child's growth rate is 5% with an initial value of 40 inches.

3. A linear function that represents the scenario is , H(t) = 40 + 2t.

A linear function is a mathematical expression with variables multiplied by constants appearing in the first degree.

The mathematical operations involved in a linear function are addition and subtraction.

A linear function represents a straight line on the coordinate plane.

Initial height at age 6 = 40 inches

The annual growth rate in inches = 2 inches

Growth rate in percentage = 5% (2/40 x 100)

H(t) = 40 + 2t

Where t = years after age 6

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Using t for the time in years since age 6 and H for height in inches, find a formula for H as a linear function of t.

Given that  F = <7xy, 2y²> is a vector field in the plane, and C the path y = 8x² joining (0,0) to (1,8) in the plane.the line integral ∫F.dr = 355¹/₃ units

Line integrals are integrals evaluated along a curve. It is given by I = ∫F.dr

where dr = dxi + dyj

Given that F = <7xy, 2y²> is a vector field in the plane, and C the path y = 8x² joining (0,0) to (1,8) in the plane.

So, we need to find the line integral ∫F.dr

Since

So, ∫F.dr = ∫[(7xy)i + (2y²)j.(dxi + dyj)] = ∫(7xydx + 2y²dy)

We integrate y from 0 to 8 and x from 0 to 1 and susbstitute y = 8x² into the equation. So, we have

∫F.dr = ∫(7xydx + ∫2y²dy)

= ∫(7x(8x²)dx + ∫2y²dy)

= ∫56x³dx + ∫2y²dy

= 56∫₀¹x³dx + 2∫₀⁸y²dy

= 56[x⁴/4]₀¹ + 2[y³/3]₀⁸

= 56[1⁴/4 - 0⁴/4] + 2[8³/3 - 0³/3]

= 56[1/4 - 0] + 2[512/3 - 0]

= 56[1/4} + 2[512/3]

= 14 + 1024/3

= (42 + 1024)/3

= 1066/3

= 355¹/₃ units

So, given that  F = <7xy, 2y²> is a vector field in the plane, and C the path y = 8x² joining (0,0) to (1,8) in the plane.the line integral ∫F.dr = 355¹/₃ units

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Answer:

What digital/technological features will your futuristic bath/shower time utilize?

The total ticket were sold this year is 39  tickets.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

The circle graph shows last year's ticket sales with a total of 842 tickets.

Adults =4%

Students =17%

Children Under 12 =55%

Seniors =24%

This year 22 more tickets were sold to seniors.

According to given question we have

Ticket sold to the senior

=24% *842

= 202.08  tickets.

Tickets were sold this year

= 202.08/12  tickets.

=16.84  tickets.

This year 22 more tickets were sold to  seniors

=16.84  tickets+22 tickets

=38.84 ≈39  tickets

Therefore, the total ticket were sold this year is 39  tickets.

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10 percent of the students failed in all three subjects.

Let the us assume that the total number of students in the school are 100.

Thus, according the the information given-

number of students who passed in all three subjects = 20

⇒ number of students who failed in at least one subject = 100 - 20 = 80

Let the number of people who failed in all three subjects be a

Then, as per the given information, we can make a venn diagram as shown in the figure below.

Now, the sum of all the terms in the venn diagram must be 80 since 80 people failed in at least 1 subject. Thus, we get the following equation-

a -3 + 35 - a + 25 - a + a + a - 4 + 15 - a + 2 + a = 80

a + 32 + 25 + 11 + 2 = 80

a + 70 = 80

a = 80 - 70

a = 10

Thus, the percentage of the students who failed in all 3 subjects will be-

10/100 × 100

= 10%

Hence, 10 percent of the students failed in all three subjects.

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Answer:

Step-by-step explanation:

The two numbers are 20 and 40

Let n represent the unknown

Next is to find the the products of both numbers

n × 2n= 800

2n²= 800

n²= 800/2

n²= 400

n= √400

n= 20

The first number is 20

The second number 2(20)= 40

Hence the two number are 20 and 40

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The order of the magnitude of the given number is a 5.

According to the statement

We have to find that the order of the magnitude.

So, For this purpose, we know that the

An order of magnitude is an exponential change of plus or minus 1 in the value of a quantity or unit. The term is generally used in conjunction with power-of-10 scientific notation.

From the given information:

The number are 1.25 x 105

To find the order firstly solve it then

1.25 x 105

1.25 x 105 = 131.25

And in this according to the definition of the order of the magnitude:

The order is of the 5 numbers.

So, The order of the magnitude of the given number is a 5.

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Answer:

2.29x8=18.32

20 an hour because 160÷8=20

31.16 more than part a+b

Step-by-step explanation:

hope this helps plus brainliest if u want have a good day! :)

Answer:

35

Step-by-step explanation:

-a +5y

-(-5) +5(6)

5 + 30

35

Finding m∠2 is c. 44°.

First step is to find the Measure of angle 1 which is m∠1

Measure of angle 1 = (68° + 68°) or (68°×2)

Measure of angle 1 = 136°

Second step is to find  m∠2

Since we have find the measure of angle 1 in order for us to find or determine m∠2 we would have to deduct or subtract m∠1 from 180°

Now let find m∠2

m∠1 = 136°

m∠1 + m∠2 = 180°

136° + m∠2 = 180°

m∠2 = 180° - 136°

m∠2 = 44°

Therefore finding m∠2 is c. 44°.

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A table which could be used with Table A to verify that the function modeling Fahrenheit temperature, F(C), based on a given Celsius temperature, C, is the inverse of C(F) is: option A.

C           -20      -15      -5

F(C)        -5         4       23

Temperature can be defined as a measure of either the degree of hotness or coldness of a physical body (object).

In Science, temperature can be measured by using a thermometer and its units of measurement include the following:

In Mathematics, an inverse function can be defined as a type of function that is obtained by reversing (undoing) the operation of a given function f(x). In Mathematics, a given function f(x) and its inverse function has the following property f⁻¹(f(x)) = x.

Based on the given function which models the Fahrenheit temperature, F(C) and Celsius temperature, C, the inverse of C(F) is as follows:

C           -20      -15      -5

F(C)        -5         4       23

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Answer:

A

Step-by-step explanation:

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The inequality will be:

6.2 + v ≥ -4.7

And it can solved to get:

v ≥ -10.9

Here we have the mathematical sentence:

"The sum of a number v and 6.2 is at least -4.7"

The sum is written as:

6.2 + v

And that is equal to or more than -4.7, then we need to use the symbol ≥, with that, we can write the inequality:

6.2 + v ≥ -4.7

Solving that four our number v, we get:

v  ≥ -4.7 - 6.2

v ≥ -10.9

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The scholarship money used by Hector  to purchase books is $990

Hector earned $2640 through an academic scholarship.

Hector used three-eighths of his  earned academic scholarship of $2640 to buy books

This is a problem of fractions

In simple words, Fractions means the parts of a whole. The whole can be an object or a group of objects. For example, when we cut a piece of cake from the whole of it, then the portion is the fraction of the cake.

The fraction is also termed as a portion or section of any quantity.

Money used for buying books = 3/8 of $2640

= 3/8 × 2640

= 7920/8

= 990

Hence, the scholarship money used by Hector  to purchase books is $990

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The quadratic equation is y = x^2 - x - 6

The given parameters are

x-intercepts: x=-1 and x=3

Rewrite properly as

x1 = -2 and x2 = 3

By zero product property, the quadratic equation is

y = (x - x1) * (x - x1)

This gives

y = (x + 2) * (x - 3)

Expand

y = x^2 + 2x - 3x - 6

Evaluate the difference

y = x^2 - x - 6

Hence, the quadratic equation is y = x^2 - x - 6

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The equation of a line perpendicular to y = x that passes through the point (8,2) is y = -x + 10

The equation of the line is given as

y = x

Rewrite the equation as

y = x

A linear equation is represented as

y = mx + c

Where

Slope = m

So, we have

m = 1

The slopes of perpendicular lines are opposite reciprocals

This means that

m2 = -1/m1

So, we have

m = -1/1

Evaluate

m = -1

The equation of the perpendicular line is then calculated as

y = m(x - x1) + y1

Where

(x1, y1) = (8, 2)

This gives

y = -1(x - 8) + 2

Evaluate

y = -x + 8 + 2

Evaluate the sum and the difference

y = -x + 10

So, the equation of a line perpendicular to y = x that passes through the point (8,2) is y = -x + 10

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The volume of a cone with a height of 6 cm and a radius of 4 cm is:

V =  100.5 cm³

If the volume of a cone varies jointly as its height, and the square of its radius, then we can write the equation:

V = R²*H*k

Where:

R = radius

H = height

k = constant of the variation.

Here we know that if R = 2cm and H = 8cm, the volume is 33.5 cm³, then we can replace that to get:

33.5 cm³ = (2cm)²*8cm*k

The value of k is:

(33.5 cm³)/(  (2cm)²*8cm ) = k = 1.046875

Then the formula for the volume is:

V = R²*H*1.046875

Now if the radius is 4cm and the height is 6cm, the volume will be:

V = (4cm)²*(6cm)*1.046875 = 100.5 cm³

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