the charges for an international call made using the calling card for two phone companies are shown in the table. what is the length of a phone call that would cost the same no matter witch company is used?
Answers
10 minutes would be your answer. I just solved for 35 + 3x=45+2x
Answer:
10 minutes.Step-by-step explanation:
We can express the charge made by the companies as equations.
The charge made by the Company A starts at 35 cents, and cost 3 additional cents per minute. We can write this as:
[tex]charge_A(t)= 35 \ c + 3 \ \frac{c}{min} * t[/tex]
where t is the length of the call in minutes. For the company B the charge starts at 45 cents, and cost 2 additional cents per minute. This is:
[tex]charge_B(t)= 45 \ c + 2 \ \frac{c}{min} * t[/tex].
Now. At what length t' the cost of the phone call is the same? We can write the condition as:
[tex]charge_A(t')= charge_B(t')[/tex]
this means:
[tex]35 \ c + 3 \ \frac{c}{min} * t'= 45 \ c + 2 \ \frac{c}{min} * t'[/tex]
doing a little work...
[tex]35 \ c + 3 \ \frac{c}{min} * t' - 35 \ c = 45 \ c + 2 \ \frac{c}{min} * t' - 35 \ c[/tex]
[tex]3 \ \frac{c}{min} * t'= 10 \ c + 2 \ \frac{c}{min} * t'[/tex]
[tex]3 \ \frac{c}{min} * t' - 2 \ \frac{c}{min} * t'= 10 \ c[/tex]
[tex] 1 \ \frac{c}{min} * t'= 10 \ c[/tex]
[tex] \frac{1 \ \frac{c}{min} * t'}{1 \ \frac{c}{min}}= \frac{10 \ c}{1 \ \frac{c}{min}}[/tex]
[tex] t'= 10 min [/tex]
And this is the length of time we are looking for.
Related Questions
What is 1/3x -5/7 equal to
Answers
If you meant x as in multiplied by then here is the solution:
1/3*-5/7
(1*-5)/(3*7)
-5/21
Hope this helps :)
use the graph to find the capacity in quarts of a 2.5 container gallon
Answers
four students spent $12 on school lunch at this rate find the amount 10 students would spend on the same school lunch
Answers
What is 7/8-1/2 in simplest form
Answers
how to get the answer:
u find the lowest common factor for both denominators:8
7/8-1/2
28 -2 26 13
---------- = -------- = --------
8 8 4
To subtract fractions like 7/8 - 1/2 and simplify the result, find a common denominator and perform the subtraction to get 3/8.
To subtract fractions with different denominators like 7/8 - 1/2 and express the result in simplest form, you need to find a common denominator. In this case, the common denominator is 8. So, we rewrite both fractions with a common denominator of 8:
7/8 - 4/8 = 3/8
Therefore, 7/8 - 1/2 = 3/8 in simplest form.
what is one third plus one fourth equal to a mixed number
Answers
1/4 ⇒ 3/12
3/12 + 4/12 = 7/12
You cannot put this as a mixed number
The mixed number equivalent to 7/12 is 0 and 7/12.
To add one-third and one-fourth, we need to find a common denominator. The least common multiple of 3 and 4 is 12.
Converting both fractions to have a denominator of 12:
1/3 = 4/12
1/4 = 3/12
Now, we can add the fractions:
4/12 + 3/12 = 7/12
The sum of one-third and one-fourth is 7/12. To express this as a mixed number, we need to divide the numerator (7) by the denominator (12):
7 ÷ 12 = 0 remainder 7
Therefore, the mixed number equivalent to 7/12 is 0 and 7/12.
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You put $500 in your bank account. With an interest rate of 5%, how long will it take the account to reach $600? Use the formula: I = Prt.
Answers
5% of 500 is 25 and that goes into it 100 4 times
so the answer is 4 years
Final answer:
To calculate how long it will take for a bank account with an initial deposit of $500 to reach $600 at a 5% simple interest rate, you first determine the total interest required ($100), then use the formula I = Prt to solve for time. The calculation shows that it will take 4 years for the account to reach $600.
Explanation:
To determine how long it will take for an account to reach $600 with an initial deposit of $500 at a simple interest rate of 5%, we can use the simple interest formula I = Prt, where I is the interest, P is the principal amount, r is the rate, and t is the time in years.
First, we calculate the total interest needed for the account to reach $600:
Total amount desired = $600Principal (initial amount) = $500Interest needed = Total amount - PrincipalInterest needed = $600 - $500 = $100Next, we use the formula I = Prt to solve for time (t):
I = $100P = $500r = 0.05 (5% expressed as a decimal)$100 = $500 × 0.05 × t$100 = $25tt = $100 / $25t = 4 yearsTherefore, it will take 4 years for the account to reach $600.
$7.59 divided by 2.2 ?
Answers
The quotient of two numbers is $3.45.
What is the division?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Given that, $7.59 divided by 2.2.
Now, 7.59 ÷2.2
= 7.59/2.2
= $3.45
Therefore, the quotient of two numbers is $3.45.
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Final answer:
The division of $7.59 by 2.2 results in approximately 3.45. This can be calculated using long division or a calculator after adjusting for the decimal in the divisor.
Explanation:
The student has asked how to divide the number $7.59 by 2.2. This is a basic arithmetic operation involving division. To perform this division, you can use long division or a calculator. When you divide $7.59 by 2.2, you will get approximately 3.45, which is the quotient. Here's a step-by-step breakdown:
Set up the division with $7.59 as the dividend and 2.2 as the divisor. Since we are dividing by a decimal, we can move the decimal point of the divisor (2.2) to the right to make it a whole number (22). Simultaneously, we also move the decimal point in the dividend (7.59) the same number of places to the right, changing it to 759. Now, divide 759 by 22 using long division or a calculator. The result is approximately 34.5, but since we moved the decimal one place to the right, we must move it back one place to the left in our answer, resulting in 3.45.What is the quotient of 8/11 ÷ 3/5 =?
Answers
8/11 divide 3/5 -> 8/11 x 5/3 and multiply 8x5 then 11x3 then u got your answer! :) Hope this worked :D
*Lookiesat* ^^
The quotient of 8/11 ÷ 3/5 is; 40/33
The quotient of 8/11 ÷ 3/5 can be evaluated as follows;
= 8/11 ÷ 3/5
= (8/11 ) × (5/3)
By multiplying the numerator s and denominators; we have;
= 40/33
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Does anyone know how to solve by substitution for 1/2x+7=y and 3y-11=-x
Answers
[tex] y= \frac{x}{2} + 7 [/tex]
It would be the same as the x value in the function:
[tex]-x = 3y - 11[/tex]
Due to having too many variables we can't solve for a specific variable with the equations in there current form, but because they have equal values of x and y we can solve for x or y and SUBSTITUTE that value for x or y into the other equation! By doing so we eliminate a variable and make it possible to solve that equation for one of the two variables. Luckily they already solved the equations for y in the first one (Keep in mind x, and -x are not the same, thus if you want to use the -x equation you'll need to multiply all numbers by -1.
Explanation aside, let's get to the problem!
[tex] y= \frac{x}{2} + 7 [/tex]
Now we take that value for y, and substitute it in the other equation wherever there is a y.
[tex]-x = 3[tex]( \frac{x}{2}+7)[/tex]- 11[/tex]
Distribute the 3 to all terms in the parenthesis. (Remember only multiply the numerator by 3! (don't multiply the denominator by 3 is what I'm trying to say)... also if you have forgotten.. the numerator is the top of the fraction and the denominator is the bottom!)
[tex]-x= \frac{3x}{2}+21 - 11 [/tex]
Subtract 11 from 21.
[tex]-x= \frac{3x}{2}+10[/tex]
Subtract 10 on both sides.
[tex]-10-x= \frac{3x}{2}+10-10[/tex]
Simplify the right side (10-10 = 0) and add x on both sides!!
[tex]-10 = \frac{3x}{2} +x[/tex]
Add the x's together. To do this gain a common denominator by multiplying the +x by 2/2. Then add it together!
[tex]-10 = \frac{5x}{2} [/tex]
To get x alone we need to remove the fraction. To do that multiply by the fractions reciprocal (flip the fraction and multiply both sides by it. Keep in mind you do not want to multiply by x in this case[tex] \frac{2}{5}*-10 = \frac{5x}{2} * \frac{2}{5} [/tex])
Cancel out the fraction on the right side, and multiply the -10 by 2/5. [tex] \frac{-20}{5} = x[/tex]
x = -4
You probably are thinking... wow that's a lot of work! Well you are somewhat right, but luckily the next part is pretty easy. Pick one of the equations, and plug in the value you got for x and solve for the other variable (y). I'm going to choose the one with y already solved for.
[tex] \frac{-4}{2} + 7 = y [/tex]
[tex]y = -2 + 7 [/tex]
[tex]y = 5[/tex]
So our answers are:
x = -4
y = 5
Select True or False. The expression 4x − 2(5x − 1) is equivalent to the expression 2 + 6x.
Answers
4x - 10x - 2
-6x - 2
-2 - 6x is not equal to 2 + 6x.
Answer is false.
Answer: The given statement is FALSE.
Step-by-step explanation: We are given to check whether the following statement is True of False :
"The expression 4x − 2(5x − 1) is equivalent to the expression 2 + 6x".
We will be using the following distributive property :
[tex]a(b+c)=ab+ac.[/tex]
We have
[tex]4x-2(5x-1)\\\\=4x-10x+2\\\\=-6x+2\\\\=2-6x\\\\\neq 2+6x.[/tex]
Therefore, expression 4x − 2(5x − 1) is NOT equivalent to the expression 2 + 6x.
Thus, the given statement is FALSE.
suzanne buys 6 paints sets. each set contains the same number of brushes. she buys 18 brushes.how many bruxhes are in each paint set?
Answers
Because you need to divide
Ans = 3
A square garden with a side length 150 m has a square swimming pool in very center with a side length 25 m .Calculate the area of the garden.
Answers
Pool area = 25² = 625m²
Actual garden area = 22500 - 625 = 21875m²
Final answer:
Calculate the area of a square garden with a swimming pool in the center.
Explanation:
The area of the garden can be calculated by finding the area of the square garden and subtracting the area of the square swimming pool.
Area of the square garden:
Area = side length × side length
= 150 m × 150 m = 22500 m²
Area of the swimming pool:
Area = side length × side length
= 25 m × 25 m = 625 m²
Area of the garden: 22500 m² - 625 m² = 21875 m²
Therefore, the area of the garden is 21875 m².
Jenny has 50 square tiles. She arranges the tile into a rectangular array of 4 rows.How many tiles will be left over?
Answers
Zero will be left over.
Students at a high school filled out a survey. The results showed that out of 640 students, 331 speak more than one language. How many students speak only one language?
Answers
309 students only speak one language.
Answer:
309
Step-by-step explanation:
640 - 331 = 309
Word problems for 5x=45
Answers
905-425
905= __ hundreds+___tens+ones__
or__hundreds+10 tens+ __ ones
425= __ hundreds+__tens+__ ones
subtract hundreds:__ hundreds
subtract tens:__ tens
subtract ones:__ones
905-425=408
Answers
or 8 hundreds, 10 tens, 5 ones
425 = 4 hundreds, 2 tens, 5 ones
8 hundreds, 10 tens, 5 ones
4 hundreds, 2 tens, 5 ones
---------------------------------------subtract
4 hundreds, 8 tens, 0 ones = 480......(905 - 425 = 480)
The value for the expression 905 - 425 is 407.
What is place value?The place value of a number is given as:
Example:
1234.567
1 = thousand place value
2 = hundred place value
3 = tens place value
4 = ones place value
5 = tenths place value
6 = hundredths place value
7 thousandths place value
We have,
905 - 435
905 = Nine hundred + zero tens + five ones
425 = Four hundreds + two tens + five ones
Now,
905 - 435
= 407
Thus,
The value is 407.
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Mindy read 8 pages of her book the first day, 15 pages the second day, and 22 pages the third day. if the pattern continues , how many pages of her book will she read on the sixth day
Answers
otherwise 43 pages on 6th day I think
A book sold 32,500 copies in its first month of release. Suppose this represents 8.4% of the number of copies sold to date. How many copies have been sold to date?
Answers
Simplify. –2 • (4) – 3 • (–5) = A. 55 B. 7 C. –23 D. –120
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How do you solve a Rubik's Cube?
Answers
Niall owes $187 to his cousin. However, he doesn't have any money right now. He hopes to earn some money by painting a house. He gets paid $34 for every 2 hours he paints. Which equation of a line models y, the amount of money he will have after paying back his cousin, in terms of x, the number of hours he spends painting?
Answers
2x+34=187
Answer:
[tex]y=17x-187[/tex] where x>11
Step-by-step explanation:
Niall gets $34 for 2 hours.
So, he gets [tex]34/2=17[/tex] dollars per hour.
Now, he owes $187 to his cousin.
Let the number of hours he works be = x
Let the money left with him after paying his cousin be = y
So, the equation forms:
[tex]y=17x-187[/tex]
Rather we can say it is :
[tex]y=17x-187[/tex] where x>11
If we want to know how many hours are needed to pay the debt, we can consider y = 0
[tex]17x-187=0[/tex]
[tex]17x=187[/tex]
[tex]x=187/17[/tex]
So, x = 11 hours
So, Niall needs 11 hours of work to pay back his cousin and after that all his earnings is 'y'. When x>11 then 'y' will have some money left.
what is the answer to 50.28 divided by 4 (long division) PLEASE SHOW YOUR WORK
Answers
Find the perimeter and area of this rectangle 12 in by 6.5 in
Answers
Perimeter =2 (width +length )
Perimeter =2 (6,5+12)
Perimeter =2.18,5
Perimeter =37
Perimeter-37in
Area-78in²
It cost $3.99 for 25 fl. oz. of detergent or $6.99 for 90 fl. oz. Which is a better buy?
Answers
$6.99 for 90 fl. oz of detergent is a better buy.
Arithmetic operations is a concept that concerns the study of mathematical operations like addition, subtraction, division, and multiplication.
The determination on the type which is a better buy can be estimated by finding the cost of each detergent in the two cases.
For the first case, we are being told that It cost $3.99 for 25 fl. oz. of detergent.
From that, the price for 1 fl. oz will be:
[tex]\mathbf{x = \dfrac{3.99 \times 1 }{25}}[/tex]
x = $0.1596
For the second case, if the price for 90 fl. oz is $6.99
For 1 fl.oz, we have:
[tex]\mathbf{x = \dfrac{6.99 \times 1 }{90}}[/tex]
x = $0.0777
Therefore, we can conclude that $6.99 for 90 fl. oz of detergent is a better buy since the amount of each detergent is lesser than that of 25 fl. oz.
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What is 499 divided by 2? And show steps too
Answers
You would first put the 2 over the 4, as 2 times 2 is 4. Bring the 9 down. 2 goes into 9 about 4 times, but it has the remainder of 1. You bring the other 9 down, and now it says 19. 2 x 9 equals 18, so you put the 9 on top and there you have 249 with the remainder of 1.
So, when dividing by two, any odd number you're given will not divide wholly and will always have a remainder of one. When you say to show steps, I assume that you mean to show the long division process of the problem, which I have attached to my answer.
The final answer is 249 with a remainder of one. If you need that as a decimal, it'll be 249.5.
Hope this helps you out! Feel free to ask any additional questions if you need further clarification.
A family pays $45 each month for cable television. The cost increases 7%.
a. How many dollars increases?
b. What is the new monthly cost?
Answers
b. $48.15
hope this helps
A textbook costs $65.49 before tax the tax on the text book is 6.5% what is the total cost of the textbook?
Answers
I do not understand the question. Plz help!
Answers
On Wednesday, Abby and Lauren could not practice together, so they practiced separately. Abby practiced for 11/12 of an hour and Lauren practiced for 2/3 of an hour. How long did they practice on Wednesday?
Answers
Abby and Lauren practiced for a total of approximately 1.58 hours on Wednesday.
Explanation:The subject of this question is Mathematics and it concerns the addition of fractions. It is aimed at Middle School grade level.
Abby practiced for 11/12 of an hour and Lauren practiced for 2/3 of an hour, and to find out how long they both practiced, we need to add these two fractions together. Converting these fractions into like fractions (with same denominator), we have Abby's time as 33/36 (since 11/12 = 33/36) and Lauren's time as 24/36 (since 2/3 = 24/36).
Adding together Abby's practice time (33/36) and Lauren's practice time (24/36), gives 57/36 or 1 21/36 hours which is approximately 1.58 hours.
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What is -2 plus 2X equalsNegative X plus 2 plus x
Answers
Answer:
x=2
Step-by-step explanation:
-2 + 2x = -x + 2 + x
-2 + 2x = -x + x + 2
-2 + 2x = 2
+2 +2
2x = 4
Divide 4 by to 2 in order to isolate the variable and then you get the answer of 2.