Mathematics College

You use your mobile phone to phone home every day. It costs $15 per month and 18c per minute for phone calls. 

How much will you have to pay for 420 minutes of calls including the monthly charge?

Answers

Answer 1
420 x 18c= 75.60
+15.00
=90.60

Related Questions

An oil storage tank is a cylinder 30 feet high. The base of the tank is a circle with a diameter of 50 feet. When full, how many gallons are in the tank? 1 gallon equals approximately 0.13 cubic feet.How many gallons are in the tank?

Answers


 suppose you wanted the tank to hold 100 gallons of water and it was 50 gallons per cubic feet. How many cubic feet would you need? Obviously, 2 cubic feet. How did you get that?? Well, you divided 100 by 50 to get 2.

O.K., now, let's try YOUR problem. 225000 gallons and 7.5 gallons per cubic feet. How many cubic feet do you need? Must be 225,000/7.5 = 30,000 cubic feet

O.K., now we're half way there. we (should) know that the volume of a prism is

l x w x h. We now know the volume must also be 30,000

so l x w x h = 30000
100 x 20 x h = 30000

you should be able to take it from there.

Problem #2

We approach it the exact same way.

It's too hard as stated. Let's make up an easier problem.

suppose 1 gallon took up 5 cubic feet. If you had 10 cubic feet, how many gallons would you have?
well, clearly, you would have 2 gallons. How did you get it?

Now, how many cubic feet in the cylinder? Well you (should) know that the volume of a cylinder is:

Pi r^2h = 3.14 x 25^2 h = 1962.5 h

Now we have a bit of a problem. You didn't tell me how high the tank is. Let us say it is 10 feet.

So, the tank had 19,625 cubic feet.

Go back to the start of this problem and you will know what to do next.

Answer: 7653.75 gallons

Step-by-step explanation:

Given : Height of cylinder = 30 feet

Diameter : d= 50 feet

Radius : [tex]r=\dfrac{d}{2}=\dfrac{50}{2}=25\text{ feet}[/tex]

The volume of a cylinder is given by :-

[tex]V=\pi r^2 h\\\\\Rightarrow\ V=(3.14)(25)^2(30)\text{ cubic feet}[/tex]

Also, 1 gallon equals approximately 0.13 cubic feet.

Then , the number of gallons of water in the tank :-

[tex]V=(3.14)(25)^2(30)(0.13)=7653.75\text{ gallons}[/tex]

Starting from the same place, Sara walks due west and Ammad walks due east. On the number line, 0 represents their starting point, negative values represent the distance traveled west and positive values represent the distance traveled east. A number line with a point for Ammad at coordinate 480 and a point for Sara at coordinate -240. How many feet apart are Sara and Ammad on the number line? Enter your answer in the box.

Answers

check the picture below.

It's 720, because all you need to do is 240 + 480 = 720.

Hope it helps,

3/5 of 40 dollar restaurant

Answers

40 * 3/5
120/5
24

Hope this helps!
To find the answer times: 3/5 x 40 = 24

Evaluate. 7^2 - 3 + 9 × 8 ÷ 2

w =

Answers

7^2 - 3 + 9 x 8 / 2
49 - 3 + 9 x 8 / 2
49 - 3 + 72/2
49 - 3 + 36
46 + 36
82

w = 82

Find a parametric representation of the solution set of the linear equation. (enter your answer as a comma-separated list of equations. use s and t as your parameters.) x + y + z = 2

Answers

Final answer:

The parametric representation of the solution set for the equation x + y + z = 2 is x = t, y = 2 - s - t, z = s, with 's' and 't' as the parameters.

Explanation:

To find the parametric representation of the solution set of the linear equation x + y + z = 2, we first need to express two variables in terms of the third. Let's use 's' and 't' as parameters.

We can express x and y in terms of z. Let's express z as 's'. So, z = s.

The equation x + y + z = 2 thus becomes x + y = 2 - s. We can choose x = t and y = 2 - s - t.

So, the parametric representation of the solution set for the given linear equation is (x = t, y = 2 - s - t, z = s), where 's' and 't' are parameters that can assume any real value.

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Find the determinant of the n×n matrix a with 's on the diagonal, 's above the diagonal, and 's below the diagonal

Answers

n x n euals n to the second power

Find the mean of the data set. If necessary round to nearest tenth. 18.1,17.9,16.8,18.7,15.1

Answers

Finding the mean means find the average so we add are data set up and then divide it by the the amount we have in our data set. So

[tex]\frac{18.1+17.9+16.8+18.7+15.1}{5} = 17.32[/tex]

And if we round to the nearest tenth it would be 17.3

june is working on an addition problem and starts with 17,985. after she adds, she still has 17,985. which property od addition did june use

Answers

June in this case use an identity property of addition. Identity property addition is one of the properties of addition which the sum of any number and zero will result to that number. In this case she starts with 17,985 after adding she still has the same number so we conclude that she use the identity property of addition.

A cell phone that is on sale for $70 has a markdown of 45% off the regular price. What is the regular price of the cell phone? Round to the nearest cent.

Answers

vjghfjghfhggvbgvjyhfg cghgfc fgjfgtydfjnhgjhyuvgk
the equation here is 70*.45= x then u add x to the $70 and thats your answer

Compound interest £2000 for 3 years 5.5% annum

Answers

[tex]\bf \qquad \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to &\£2000\\ r=rate\to 5.5\%\to \frac{5.5}{100}\to &0.055\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per annum, thus once} \end{array}\to &1\\ t=years\to &3 \end{cases} \\\\\\ A=2000\left(1+\frac{0.055}{1}\right)^{1\cdot 3}[/tex]

The service elevator in a high-rise building travels between the lowest underground parking level and the seventeenth story of the building. The lowest parking level is 15 meters below street level, and the seventeenth story is 51 meters above street level. If the elevator rises at a rate of 2 meters per second, how long, in seconds, could a person ride the elevator when starting from the lowest level? Assume the elevator makes no extra stop.

Answers

15 +51 = 66 meters total

66 /2 = 33 seconds 

and that is your answer


The person will reach to the seventeenth in 33 seconds.

Given that,
The lowest parking level is 15 meters below street level, and the seventeenth story is 51 meters above street level.
To determine how long, in seconds, could a person ride the elevator when starting from the lowest level.

What is speed?

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

Here,
Total height to cover = height of lowest parking to street level + height of 17 stories from street level.
Total height = 15 + 51
Total height = 66 meters
Time to reach to the 17th story
Speed = distance / time
2 = 66 / time
time = 66 / 2
Time = 33 seconds

Thus,  the person will reach to the seventeenth in 33 seconds.

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The ordered pair (–2, –4) is a solution of which system?

Answers

its just a matter of subbing....and for it to be a solution, it has to satisfy both inequalities.

y < = x + 2....(-2,-4)....x = -2 and y = -4
-4 < = -2 + 2
-4 < = 0 (true)

y > = x - 3.....(-2,-4)...x = -2 and y = -4
-4 > = -2 - 3
-4 > = -5 (true)

ur answer is the last one


The given ordered pair is the solution of y ≤ x + 2 and y ≥ x - 3. Option E is correct.

As of the given numeral, The ordered pair (–2, –4) is a solution of which system is to be determined.

What is inequality?

Inequality is defined as the relationship of an equation containing the symbol ( ≤, ≥, <, >) instead of the equal sign.

here,
(–2, –4) is a solution of y ≤ x + 2 and y ≥ x - 3,
Proof,
Substitute this ordered paired in the inequality,

-4 ≤ -2 + 2
-4 < 0
and
-4 ≥ -2 - 3
-4 > -5

Thus,  the ordered pair supplied is the solution of y x + 2 and y x - 3. Option E is the right answer.

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2) Mr. Somers had twenty pieces of metal that were all the same length. If each piece of metal was 3 1/5 inches long and he put them side by side, what would be the total length of all the pieces together?

Answers

You would do 20 • 3=60 and the you would add 20 • 1/5=4 so, your total is 64in.

A bear, awakening from winter hibernation, staggers directly northeast for 15 m and then due east for 15 m. Show each displacement graphically and graphically determine the single displacement that will take the bear back to her cave to continue her hibernation.

Answers

The total displacement east is: 
15 cos(45) + 15
= 25.607 m 

The total displacement north is: 
15 sin(45) 
= 10.607 m 

The magnitude of the total displacement is: 
sqrt(25.607^2 + 10.607^2) 
= 27.717 m = 27.7 m

Its direction is N x E where: 
tan(x) = 25.607 / 10.607 
x = 67.5 deg

The return displacement is therefore of the same magnitude but in the opposite direction. 
Displacement 27.7 m, direction S 67.5 deg W

When given an algebraic expression involving subtraction, why is it best to rewrite the expression using addition before identifying the terms?

Answers

Since it doesn't mention multiplication, no. What would be the point of rewriting an expression from 3-2 to 3+(-2)?

A line passes through the point (d, d) and has a slope of k. Which equation models the line?

Answers

[tex]\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({{ d}}\quad ,&{{ d}})\quad \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies k \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-d=k(x-d)\implies y-d=kx-kd \\\\\\ y=kx-kd+d[/tex]

ymnast Clothing manufactures expensive soccer cleats for sale to college bookstores in runs of up to 500. Its cost (in dollars) for a run of x pairs of cleats is
C(x) = 3250 + 5x + 0.1x2 (0 ≤ x ≤ 500).
Gymnast Clothing sells the cleats at $110 per pair. Find the revenue and profit functions. How many should Gymnast Clothing manufacture to make a profit?

Answers

The relationship between profit and revenue is:

Profit = Revenue - Total Cost
Since the cost is given as a function, the equation will be substituted as
Profit = Revenue - (3,250 + 5x + 0.1x²)

Now, the revenue is a linear graph because it is the number of pairs multiplied the fixed rate. So, the slope is constant. 
Revenue = 110x --> this is the function for revenue
Thus, the equation for profit would be

Profit = 110x - 3,250 - 5x - 0.1x²
P = -0.1x²+105x-3,250  --> this is the function for profit

Now, to find the minimum value of x to make profit, differentiate P with respect to x and equate to 0.

dP/dx = 0 = -0.2x + 105
x = 525

Thus, the Gymnast Clothing should manufacture at least 525 pairs in order to make profit.

-0.6, -5/8, -7/12, -0.72 least to greatest

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The answer is -0.72, -5/8, -0.6, -7/12

347,456 round to the place value of the underlined digit. The four being in the ten thousand places

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350,000. Because the seven is greater than 5; which means that the number 4 increases to 5, and making the rest of the numbers zeros.

Find an equation for the line with the given properties. Express the equation in​ slope-intercept form. Containing the points Upper P equals (-1, 3) and Upper Q equals (1, 0)

Answers

[tex]\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ -1}}\quad ,&{{ 3}})\quad % (c,d) &({{ 1}}\quad ,&{{ 0}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{0-3}{1-(-1)}\implies \cfrac{0-3}{1+1} \\\\\\ \cfrac{-3}{2}[/tex]

[tex]\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-3=-\cfrac{3}{2}[x-(-1)] \\\\\\ y-3=-\cfrac{3}{2}(x+1)\implies y-3=-\cfrac{3}{2}x-\cfrac{3}{2}\implies y=-\cfrac{3}{2}x-\cfrac{3}{2}+3 \\\\\\ y=-\cfrac{3}{2}x+\cfrac{3}{2}[/tex]

is 11:17 equivalent to 17:11

Answers

Answer:

  No

Step-by-step explanation:

If these are time values, ...

  11:17 is about 5 hours 54 minutes earlier than 17:11.

___

If these are ratios, ...

  11/17 is less than 1, whereas 17/11 is greater than 1

Each is the inverse of the other.

5 minus the product of V and 7

Answers

" the product " means multiply

5 - 7V <== ur expression

358=15n+85 what does n equal

Answers

70. 15+70=85. Or 85-70=15

what is The cost per unit?

Answers

The cost per unit is the total expenditure incurred by a company to produce, store and sell one unit of a particular product or service. Unit costs include all fixed costs, and all variable costs, involved in production.

To figure your total manufacturing cost per unit, divide your total costs by the total number of units produced. For example, say for the year your company made 1 million units and incurred production costs of $3 million. Divide your $3 million costs by the 1 million units to find your cost per unit: $3.

For the equation, 2x^4 -5x^3+10=0 find the number of complex roots and the possible number of real roots.
A. 3 complex roots; 0, 2 or 4 real roots
B. 3 complex roots; 1 or 3 real roots
C. 4 complex roots; 0, 2 or 4 real roots
D. 4 complex roots; 1 or 3 real roots

Answers

The given equation is
2x⁴ - 5x³ + 10 = 0

Because this is a 4th degree polynomial, there are 4 possible real and complex roots.

Let f(x) = 2x⁴ - 5x³ + 10
Apply Descartes' Rule of signs.
There are 2 sign changes, so there are 2 possible positive real roots.

f(-x) = 2x⁴ + 5x³ + 10
There are no sign changes, so there are no negative real roots.

This means that
(a) There are possibly 2 real positive roots, and a conjugate pair of  2 complex roots;
(b) 0 real roots, and 2 pairs of 4 complex roots.

Of the given answers, only C. can be correct.
Note that complex roots always occur as conjugate pairs, so A and B are incorrect.

Answer: C
4 complex roots; 0, 2, or 4 real roots

Which of the following is not an isometry?

rotation
dilation
translation

Answers

the answer is B. Dilitation

Answer:

B. Dilation.

Step-by-step explanation:

We are asked to find which transformation is not isometric.

We know that isometry preserves length.

We know that the length of a figure remains unchanged after rotation and dilation as they preserves length.

We also know that dilation either enlarges length or shrinks length of a figure, therefore, the correct choice is dilation.

Country A produces about eight times the amount of diamonds in carats produced in country B. If the total produced in both countries is 9,000,000 carats, find the amount produced in each country

Answers

that would be 9,000,000,000 times 8, wich is 72,000,000,000. Because 9*8 is 72 excepts theres a 9 million.
Let X = # carats produced in country B.
Then A + B = 8B + B = 9000000  9B = 9000000
B = 1000000
A = 8xB = 8000000

Ms. Ache is paid $1250 per week but it's fined $100 each day she is late to work Ms.A che wants to make at least $3,000 over the next three weeks so she can take a vacation. over the next three weeks, what is the maximum number of days she can be late to work and still reach her goal of making at least $3000?

Answers

She can be late 7 days max

Answer:

7 days

Step-by-step explanation:

Given: Ms. Ache is paid $1250 per week but it's fined $100 each day she is late to work.

To Find: maximum number of days she can be late to work and still reach her goal of making at least $3000?

Solution:

per week payment of Ms. Ache =[tex]\$[/tex] [tex]1250[/tex]

Fine for getting late a day =     [tex]\$[/tex] [tex]100[/tex]

let number of days Ms. Ache gets late =  [tex]\text{x}[/tex]

Amount Ms. Ache wants to make in three weeks = [tex]\$[/tex] [tex]3000[/tex]

maximum earning potential of Ms. Ache in 3 weeks = [tex]1250\times3[/tex]= [tex]\$[/tex] [tex]3750[/tex]

Net earning = maximum earning potential of Ms. Ache in 3 weeks - total fine

                     =[tex]\$ 3750 - 100\text{x}[/tex]

To reach a goal of   [tex]\$[/tex] [tex]3000[/tex]

[tex]\$ 3750 - 100\text{x}[/tex] ≥ [tex]3000[/tex]

[tex]100\text{x}[/tex]≤[tex]750[/tex]

[tex]\text{x}\leq 7[/tex]

Maximum  number of days she can be late to work and still reach her goal of making at least $3000 is [tex]7[/tex] [tex]\text{days}[/tex]

Solve the equation 6x + 3y = 15 for y. What does y equal if x = 2? If x = 5?

Answers

Part a. 6x +3y = 15
3y = 15 -6x
y = 5 - 2x

Part b. y = 1

Part c. y = -5

One positive number is 1/5 of another number. The difference between the two numbers is 60. Find the numbers.

Answers

Answer:

15 and 75

Step-by-step explanation:

[tex]n-second\ number\\\\\dfrac{1}{5}n-first\ number\\\\n-\dfrac{1}{5}n=\dfrac{4}{5}n-difference\ between\ the\ two\ numbers\\\\\text{Equation:}\\\\\dfrac{4}{5}n=60\qquad\text{multiply both sides ny 5}\\\\\not5\cdot\dfrac{4}{\not5}n=(5)(60)\\\\4n=300\qquad\text{divide both sides by 4}\\\\\dfrac{4\!\!\!\!\diagup n}{4\!\!\!\!\diagup}=\dfrac{300}{4}\\\\n=75\\\\\dfrac{1}{5}n=\left(\dfrac{1}{5}\right)(75)=\dfrac{75}{5}=15[/tex]

The two positive numbers are 15 and 75 respectively.

What is an expression?

Expression in mathematics is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Let the two numbers be x and y respectively. Now let corelate the statement given in question :

One positive number is 1/5 of another number which  means x=(1/5) y

and, it is also given that the difference between the two numbers is 60 which means y -x = 60. Now solving these question by substitution method.

y-x = 60

5x-x= 60

4x = 60

x = 15

y = 75

Therefore, the two positive numbers are 15 and 75 respectively.

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