Jack and Jill purchased cell phones. Jack's plan charges a fee of $24 plus $0.08 per minute he talks. Jill's plan charges a fee of $10 plus $0.15 per minute she talks. Which equation could be used to determine when Jack and Jill's plans will be the same?

Answers

Answer 1

Given:

Jack's plan charges a fee of $24 plus $0.08 per minute he talks.

Jill's plan charges a fee of $10 plus $0.15 per minute she talks.

To find:

The equation which is used to determine when Jack and Jill's plans will be the same.

Solution:

Let t be time in minutes.

Jack's plan charges a fee of $24 plus $0.08 per minute he talks. So, function for Jack's plan is

[tex]f(t)=24+0.08t[/tex]

Jill's plan charges a fee of $10 plus $0.15 per minute she talks. So, function for Jill's plan is

[tex]g(t)=10+0.15t[/tex]

Jack and Jill's plans will be the same, if [tex]f(t)=g(t)[/tex].

[tex]24+0.08t=10+0.15t[/tex]

Therefore, the required equation is [tex]24+0.08t=10+0.15t[/tex].


Related Questions

why are you allowed to move the decimal points before dividing with decimals? Explain your reasoning

Answers

Answer:

Well the decimal points have to all be underneath eachother they can’t be all over the place or else you wouldn’t know where you need to put your decimal for your answer.

Step-by-step explanation:

Answer:

Sample Response: If you move the decimal point the same number of places in the dividend and the divisor, you are multiplying them both by the same power of 10. That does not change the quotient

Find the value of the expression below.
15 + 5 × 3
-------------- (fraction)
3² + 6

5
4
2

Answers

Answer:

2

Step-by-step explanation:

15 + 5 × 3

________

  3² + 6

For this question, we need to use PEMDAS to solve the question correctly. PEMDAS stands for "parentheses, exponents, multiplication, division, addition, subtraction". In this question, for the numerator, we see 5 x 3 so that's multiplication. So we multiply those together to get 15. In the denominator, there's an exponent which is 3². We have to find the square of 3 so that we can simplify the denominator as well. That simplifies to 9:

(15+15)/(9+6)

Next, we just have to add the 15+15 in the numerator together and 9+6 in the denominator together:

30/15

Finally, we divide 30/15 to get 2 as our answer

2

Greg paid $22.05 for a backpack. This amount includes a sales tax of 5%. What was the cost of the
backpack before tax?

Answers

Answer:

21.00

Step-by-step explanation:

21.00 I think (sorry if it wrong!!)

The cost of the backpack before tax was $20.94 if Greg paid $22.05 for a backpack. This amount includes a sales tax of 5%.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

Greg paid $22.05 for a backpack. This amount includes a sales tax of 5%

Let x be the cost of the backpack before tax.

22.05(1 - 5%) = x

x = 22.05(1 - 0.05)

x = $20.94

Thus, the cost of the backpack before tax was $20.94 if Greg paid $22.05 for a backpack. This amount includes a sales tax of 5%.

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i need help in finding numerical value please

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{18}=\sqrt{2*3*3}=3\sqrt{2}[/tex]

[tex]\sqrt{12}=\sqrt{2*2*3}=2\sqrt{3}[/tex]

[tex]A=\sqrt{2}+\sqrt{18}\\\\=\sqrt{2}+3\sqrt{2}\\\\=(1+3)\sqrt{2}\\\\=4\sqrt{2}[/tex]

[tex]B=\sqrt{3}+\sqrt{12}=\sqrt{3}+2\sqrt{3}\\\\ = (1+2)\sqrt{3}\\\\ = 3\sqrt{3}[/tex]

[tex]\sqrt{B^{2}+A^{2}-2*B*A}=\sqrt{(B-A)^{2}}\\\\=B-A\\\\=3\sqrt{3}-4\sqrt{2}[/tex]

= 3* 1.732 - 4 *1.4142

= 5.196 - 5.6568

= -0.4608

Exact Answer:   [tex]4\sqrt{2} - 3\sqrt{3}[/tex]

Approximate Answer:  0.46070182678574

Round the approximate value however you need to.

=================================================

Work Shown:

[tex]C = \sqrt{ B^2 + A^2 - 2BA}\\\\C = \sqrt{ B^2 - 2BA + A^2}\\\\C = \sqrt{ (B-A)^2 }\\\\C = -(B-A) \ \ \text{ see note below}\\\\C = -B+A\\\\C = A-B\\\\C = (A) - (B)\\\\[/tex]

[tex]C = (\sqrt{2}+\sqrt{18}) - (\sqrt{3}+\sqrt{12})\\\\C = \sqrt{2}+\sqrt{18} - \sqrt{3}-\sqrt{12}\\\\C = \sqrt{2}+\sqrt{9*2} - \sqrt{3}-\sqrt{4*3}\\\\C = \sqrt{2}+\sqrt{9}*\sqrt{2} - \sqrt{3}-\sqrt{4}*\sqrt{3}\\\\C = \sqrt{2}+3\sqrt{2} - \sqrt{3}-2\sqrt{3}\\\\C = 4\sqrt{2} - 3\sqrt{3} \ \ \text{ ..... exact value}\\\\C \approx 0.46070182678574 \ \ \text{ ..... approximate value}[/tex]

-------------------

Note: The rule used here is

If x is positive then [tex]\sqrt{x^2} = x[/tex]

Or if x is negative, then [tex]\sqrt{x^2} = -x[/tex]

Since B-A = -0.4607 approximately, we will use the second version of the rule above.

Question is on a picture ​

Answers

Answer:

[tex]12[/tex]

Step-by-step explanation:

[tex] {4}^{2} - ( { - 2}^{2} ) \\ 16 - 4 \\ 12[/tex]

Which choice shows the following rational numbers in order from least to greatest?

1.6
9/10
15/8
190%
1 1/2


I will give BRAINLIEST!!!!!!!

Answers

Answer:

It is A trust.

Step-by-step explanation:

9/10 is the lowest because it is the only number that isn't whole then 1 1/2 cause it is one and a half with is equivalent 1.5 then 1.6 15/8 because it is 1 7/8

then 190% because it is the largest number

Answer:

tfgvb

Step-by-step explanation:

tfgcv

A sequence of numbers is 0, 12, 24, 36, 48,.... Drag tiles to complete the statements.

Answers

Answer:

60 and 72

Step-by-step explanation:

We can tell that each number is being added by 12 so add 48 with 12 and you get 60 and add 12 to 60 you get 72

Geometric

The temperatures in my town one week in December were 3°F, 10°F, 5°F, 18°F, 7°F, 3°F, and 3°F. What was the mean temperature that week?

Answers

Answer:

It was 3

Step-by-step explanation:

This is because its the one clóset to 0

I hope this help you out

Mac wants to buy ice cream cones. It would cost $8.25 for 3 ice cream cones. At this rate how much will she spend on only 2 ice creams cones? What information is given to solve the problem? B. What do you need to solve for?​

Answers

Answer:

see below

Step-by-step explanation:

We can use proportions to solve

$8.25           x

------------- = ------------

3 cones       2 cones

Using cross products

8.25 * 2 = 3x

16.50 = 3x

Divide by 3

16.50 /3 = x

5.50 =x

2 cones will cost 5.50

In the first week of​ July, a record 1020 people went to the local swimming pool. In the second​ week,100 fewer people went to the pool than in the first week. In the third​ week,130 more people went to the pool than in the second week. In the fourth​ week,132 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four​ weeks?

Answers

Answer: 10%

Step-by-step explanation:

The following information can be gotten from the question regarding the number of people that went to the swimming pool are:

First week of July = 1020

Second week = 1020 - 100 = 920

Third week = 920 + 130 = 1050

Fourth week = 1050 - 132 = 918

The percentage decrease over the four weeks will be:

= (1020 - 918)/1020 × 100

= 102/1020 × 100

= 10%

What is the missing exponent

Answers

Answer:

x^5 is the missing

Plz help with this problem

Answers

Answer:

A)2x+7

Step-by-step explanation:

-x+5+3x+2

2x+7

Help pls idk how to do this idk if i will set it up right

Answers

Answer:

3(-10.5)

Step-by-step explanation:

Answer:

3(-10.5)

Step-by-step explanation:

help me solve for the red variable​

Answers

Answer:

i just need points

Step-by-step explanation:

Holly made 3/5 of a quart of tea for her tea party. She plans to fill small tea cups that hold 3/10 of a quart of tea. How many cups can holly fill?

Answers

Answer:

2 Cups

Step-by-step explanation:

Converting both fractions to have the same denominator, she has 6/10 of a quart, and each cup holds 3/10. Since she only has 6, 6/3 is 2.

The number of cups she can fill will be 2.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Holly made 3/5 of a quart of tea for her tea party. She plans to fill small tea cups that hold 3/10 of a quart of tea.

The number of cups will be calculated as follows:-

Number = ( 3 / 5 ) ÷ ( 3 / 10 )

Number = ( 3 / 5 ) ÷ ( 10 / 3 )

Number = 10 / 5 ) = 2

Therefore, the number of cups she can fill will be 2.

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Triangle PQR and triangle RST are similar right triangles PO

OR represents the Slope of the line PR. Set up an equivalent ratio for the Slope of the line RT. (Use the corresponding sides of triangle RST)
Please show work.​

Answers

Answer:

[tex] \frac{PQ}{QR} = \frac{-4}{3} [/tex]

Step-by-step explanation:

Given that ∆PQR ~ ∆RST, if [tex] \frac{PQ}{QR} [/tex] gives us the slope of line PR, it will also be equivalent to the slope of line RT, which is given as [tex] \frac{PQ}{QR} [/tex].

Therefore:

[tex] \frac{PQ}{QR} = \frac{RS}{ST} [/tex]

[tex] \frac{PQ}{QR} = \frac{-5 - 3}{2 -(-4)} [/tex]

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

[tex] = \frac{-8}{6} [/tex]

[tex] \frac{PQ}{QR} = \frac{-4}{3} [/tex]

Hi if you can answer this i'll mark u brainllest
Im really bad at mathhh :(

Answers

Answer:

1.yes

2. yes, and yes [tex]\frac{4}{1}[/tex]

3. yes, its a whole number.

4.yes

5. whole, intenger, rational, real

Step-by-step explanation:

A school district needs to arrange transportation for at least 360 students for a field trip. The district can use large buses or small buses. The large buses hold 60 students each and have an operating expense of $300 for the day. The small buses hold 45 students each and have an operating expense of $200 for the day. The district only has chaperones for, at most, seven buses. What is the minimum cost for the transportation for the field trip if each bus has chaperones? $1,400 $1,600 $1,700 $1,800

Answers

Answer:

The minimum cost for the transportation for the field trip is $1700

Step-by-step explanation:

Let x be the no. of large buses and y be the no. of small buses

Number of students in large bus = 60

Number of students in x large buses = 60x

Cost of 1 large bus =$300

Cost of x large buses = 300x

Number of students in small bus = 45

Number of students in y small buses = 45y

Cost of 1 small bus =$200

Cost of y small buses = 200y

Cost = 300x+200y

We are given that A school district needs to arrange transportation for at least 360 students

[tex]60x+45y \geq 360[/tex]

The district only has chaperones for, at most, seven buses.

[tex]x+y \leq 7[/tex]

Plot the lines on graph

[tex]60x+45y \geq 360[/tex] --- Black region

[tex]x+y \leq 7[/tex] --- Red region

Feasible points :

At(3,4)

Cost  = 300x+200y=300(3)+200(4)=1700

At(7,0)

Cost  = 300x+200y=300(7)+200(0)=2100

At(6,0)

Cost  = 300x+200y=300(6)+200(0)=1800

So, The minimum cost for the transportation for the field trip is $1700

Answer:

1700

Step-by-step explanation:

2020 edge

Given: Lines y and z are parallel, and ABC forms a triangle. Prove: m∠5 + m∠2 + m∠6 = 180° Lines y and z are parallel. Triangle A B C sits between the 2 lines with point A on line y and points C and B on line z. Angle C A B is 2. Its exterior angle to the left is 1 and its exterior angle to the right is 3. Angle A B C is 6 and its exterior angle to the right is 7. Angle B C A is 5 and its exterior angle to the left is 4. Statements Reasons 1. ABC is a triangle 1. given 2. y ∥ z 2. given 3. ∠1 ≅ ∠5; ∠3 ≅ ∠6 3. ? 4. m∠1 = m∠5; m∠3 = m∠6 4. def. ≅ 5. m∠1 + m∠2 + m∠3 = m∠LAM 5. ∠ addition postulate 6. m∠1 + m∠2 + m∠3 = 180° 6. def. Straight angle 7. m∠5 + m∠2 + m∠6 = 180° 7. substitution Which could be the missing reason in Step 3? alternate interior angles are congruent alternate exterior angles are congruent vertical angles are congruent corresponding angles are congruent

Answers

Answer:

The correct option is;

Alternate interior angles

Step-by-step explanation:

The m∠5 + m∠2 + m∠6 = 180° proof is given as follows;

Statement                [tex]{}[/tex]                        Reason

1. ABC is a triangle              [tex]{}[/tex]             Given

2. y ║ z                                [tex]{}[/tex]              Given

3. ∠1 ≅ ∠5; ∠3 ≅ ∠6                         Alternate interior angles

4. m∠1 = m∠5; m∠3 = m∠6        [tex]{}[/tex]       Definition of (congruency) ≅

5. m∠1 + m∠2 + ∠3 = m∠LAM        [tex]{}[/tex]  ∠Addition postulate

6. m∠1 + m∠2 + ∠3 = 180°        [tex]{}[/tex]        Definition of straight angles

7. m∠5 + m∠2 + ∠6 = 180°        [tex]{}[/tex]        Substitution property

Step 3;

Given that line y is parallel to line z, we have that the transversal AB will make equal corresponding angles with the lines y and z, therefore, ∠6 will be equivalent to segment AB extended

Which gives, ∠6 is supplementary to ∠a where ∠a = ∠1 + ∠2

Therefore, given that ∠3 is also supplementary to ∠a where as we have above, ∠a = ∠1 + ∠2, we have that ∠3 = ∠6 and ∠3 ≅ ∠6 where ∠3 and ∠6 are alternate interior angles;

Similarly, ∠1 ≅ ∠5 by alternate interior angles of two parallel lines property.

Answer:

The answer is A. alternate interior angles are congruent

Step-by-step explanation:

I tried all my options and that one was correct.

HELP PLEASEEEE!!
Choose the equation with the correct grouping symbols.

A. 45 + 45 ÷ (3 ÷ 3) = 20
B. 45 + [45 ÷ (3 ÷ 3)] = 20
C. [45 + (45 ÷ 3)] ÷ 3 = 20
D. 45 + (45 + 3 ÷ 3) = 20

Answers

Answer:

C

Step-by-step explanation:

(45+(15))/3=20

I need help asap please​

Answers

How many answers can you choose?

Answer:

(E) if im wrong don't sew meh

Step-by-step explanation:

Solve x + 9 = 15 O x = 6 O x = -8​

Answers

The answer is x=6 for this question.

Answer:

x = ± √15

Step-by-step explanation:

x 2 - 15 + 15 = 0 + 15

√ x 2 = ± √15

x = ± √15

1 pound of a certain candy cost $8, how many pounds can be purchased for $12?

Answers

Answer:

1.5 pounds

Step-by-step explanation:

1 pound costs $8, $1 buys 1/8 pound

$12 buys 12/8=3/2=1.5 pounds

Answer:

12-8= 4

Step-by-step explanation:

one pound of it cost 8 dollars and he only has 12 so subtract 8 from 12 he only has enough to buy 1 pack.


The 12th term of the sequence is 16 the term to term rule is subtract 3.
Work out the 5th term of the sequence. *​

Answers

Answer:

a₅ = 37

Step-by-step explanation:

The term to term rule ' subtract 3 ' is the common difference d of an arithmetic sequence with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₁₂ = 16, then

a₁ + 11d = 16 ← substitute d = - 3

a₁ + 11(- 3) = 16

a₁ - 33 = 16 ( add 33 to both sides )

a₁ = 49 , then

a₅ = 49 + (4 × - 3) = 49 - 12 = 37



Mr. Friedline is an incredible gardener. He has a
rectangular plot of land that he uses for his garden in his
backyard that measures 74.52 square feet. Recently,
animals have been getting into his garden, so he wants to
put up a fence around the garden. At the Home Depot, the
fence will cost $8.95 for each foot he needs. If the length
of the garden is 8.1 feet, how much will it cost Mr. Friedline
to put a fence around his garden?

Answers

Answer:

8.1 x 8.95 = 72.495

Step-by-step explanation:

Feet x $f = $$$

please help me with this.

Answers

Answer:

I think ans-d is the answer

Step-by-step explanation:

plz mark me as brainlist

standard form help me​

Answers

The answer is 75 I asked Siri

What is the solution to the linear equation?

–12 + 3b – 1 = –5 – b

b = –2
b = –1.5
b = 1.5
b = 2

Answers

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

The solution to the linear equation –12 + 3b – 1 = –5 – b is:

b = 2

The linear equation is:

–12 + 3b – 1 = –5 – b

Collect like terms

-12  -  1 + 5  =  -b  -  3b

Simplify the rearranged equation

-8   =   -4b

Divide both sides by -4

[tex]\frac{-8}{-4} = \frac{-4b}{-4}[/tex]

The given expression, after dividing both sides by -4, will give:

2  =  b

Rewriting the resulting solution:

b  =  2

Therefore, the solution to the linear equation –12 + 3b – 1 = –5 – b is:

b = 2

Learn more here: https://brainly.com/question/2159099

I’ll give 10 points and brainliest

Answers

Answer:

Step-by-step explanation:

-(-2)^2 - (8(-2)-2(-3)) + 4(-3)

-4 -(-16 + 6) - 12

-4 - (-10) - 12

-4 + 10 - 12

6 - 12 = -6

when three times a number which is positive is subtracted from the square of that number the answer is 28.find the number??​

Answers

Answer:

1.94

Step-by-step explanation:

Let the number be x

So when three times a number which is positive which means when a number is x so three times a number must be 3x is subtracted from the square of that number ,

now the number 3x is subtracted from its own square i guess it should look like this

[tex](3x)^2-3x[/tex]

and the answer is 28 so the final form of the problem should be

[tex](3x)^2-3x=28[/tex]

[tex]9x^{2} -3x-28=0[/tex]

now we solve the quadratic equation by using the quadratic formula and we two values for x

one is a positive value and the other is negative value we take the positive value as said in the question itself  "when three times a number which is positive" so that value of x is 1.94

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