You want to get a cell phone plan including unlimited data, texting, and calls for your first phone you are going to purchase this summer from Sharaf Digital. Surf the internet and find a cell phone you would want to buy and record the price in US Dollars and type at Sharaf Digital.
a) All the plans have a base service charge of $23 per month plus the cost of the phone. Write an expression to represent the service charge.

b) There are three unlimited plans, and each plan incorporates the service charge. Translate each plan into an algebraic expression using the service charge expression from the above question.
Plan 1: $8 less than twice the amount of the service charge.
Plan 2: The quotient of the service charge and 2 increased by a fee of $50 per month.
Plan 3: The sum of half the number of months cubed and a third of the service charge.

c) Which plan would be most cost effective for a 2-year contract? Show all calculations that led to your results. Explain your results comparing the 3 plans.

d) Sharaf Digital is having a special promotion by challenging customers to create their own plan. Customers must write a verbal expression that must include the service charge and at least two operations. The operations to choose from are listed below.
If the plan is within $15 per month of one of the original 3 plans then the customer could choose that plan.
Create a 4th plan and show all calculations that led to your results.

Answers

Answer 1

Answer:Samsung Galaxy Z Fold3 5G 256GB Phantom Black Smartphone

USD 1343

a) All the plans have a base service charge of $23 per month plus the cost of the phone. Write an expression to represent the service charge.

1343 + 23m

b) There are three unlimited plans, and each plan incorporates the service charge. Translate each plan into an algebraic expression using the service charge expression from the above question.

Plan 1: $8 less than twice the amount of the service charge.

(service charge is 23 per month so)

1343 + 2(23m– 8)

Plan 2: The quotient of the service charge and 2 increased by a fee of $50 per month.

1343 + (23m/2 + 50m)

Plan 3: The sum of half the number of months cubed and a third of the service charge.

1343 + (1/2m3 + 1/3(23m))

c) Which plan would be most cost effective for a 2-year contract? Show all calculations that led to your results. Explain your results comparing the 3 plans.

Plan 1: 1343 + (24(23 – 8) = 1703

Plan 2: 1343+ (24x61.5) = 2819

Plan 3: 1343 + (1728 + 552) = 3623

Plan 1 is the most cost effective because it is the cheapest

d) Sharaf Digital is having a special promotion by challenging customers to create their own plan. Customers must write a verbal expression that must include the service charge and at least two operations. The operations to choose from are listed below.

If the plan is within $15 per month of one of the original 3 plans then the customer could choose that plan.

Create a 4th plan and show all calculations that led to your results.

Operations: product, more than, less than, double, sum, divided by, square

The product of 3.5 and the total cost divided by 4

3.5(1343 + (24(23 – 8))/4 = 1490.13

Plan 4 = 1490.13/24 = 62.09

Plan 1: 1703/24

70.95

Step-by-step explanation:


Related Questions

PLEASE HELP TAKING TEST RN what are the midline, amplitude, period of this function?

Answers

Answer:

midine y=2

amplitude -3

period 5pie

Find the length of the third side. If necessary, round to the nearest tenth.
9
13

Answers

Answer:

15.8

I think there is a part of the question missing (the triangle is a right triangle)

hope this helps

+let me know if you need an explanation

Without using a calculator, order the following expressions from least to greatest.
11/3, square root 20, square root 17

Answers

Answer:

[tex]\displaystyle \large{\frac{11}{3} < \sqrt{17} < \sqrt{20}}[/tex]

Step-by-step explanation:

( 1 ) 11/3

[tex]\displaystyle \large{\frac{11}{3}}[/tex] can be converted to mixed fractions to [tex]\displaystyle \large{3\frac{2}{3}}[/tex]

Therefore, 11/3 is at least around 3, almost 4. It could be more than 3.5 by approximation but not exactly 4.

( 2 ) √20

[tex]\displaystyle \large{\sqrt{20}=\sqrt{5\cdot 4}}\\\displaystyle \large{\sqrt{20}=\sqrt{5\cdot 2\cdot 2}}\\\displaystyle \large{\sqrt{20}=2\sqrt{5}}[/tex]

We know that [tex]\displaystyle \large{\sqrt{4}=2}[/tex] so [tex]\displaystyle \large{\sqrt{5} > \sqrt{4}}[/tex] which means approximately, [tex]\displaystyle \large{\sqrt{20}}[/tex] can be either at least 4.3 up to 4.4

( 3 ) √17

We know that [tex]\displaystyle \large{\sqrt{16} = 4}[/tex] so [tex]\displaystyle \large{\sqrt{17}}[/tex] can be at least 4.1 up to 4.2, but it’s obvious that the square root of 17 is less than square root of 20 since [tex]\displaystyle \large{\sqrt{a} > \sqrt{b}}[/tex] for a > b

Hence, from least to greatest:

[tex]\displaystyle \large{\frac{11}{3} < \sqrt{17} < \sqrt{20}}[/tex]

7 + -2.9 step by step explanation and a answer plsss help!

Answers

+ - makes a minus

+ + make a plus

-- makes a plus

7.0 - 2.9 = 4.1

Hope this helps!

Please help I will give brainliest.

Answers

Answer:

The weight, in pounds, of one bag of beans.

Step-by-step explanation:

Since we know that there are 15 bags of beans, we can eliminate the first option and anything about something other than th e beans. Also, we know that we are not given the information on how heavy the bag of beans are, so with process of elimination, the 3rd one is the answer.

I hope this helped!

It would be greatly appreciated if you marked this answer as brainliest!

Identify the graphed linear equation.

A: y=2x +2
B: y=2x +3
C: y=3x +2
D: y=3x +3

Answers

Answer:

B: y = 2x + 3

Step-by-step explanation:

The 2x is the slope, and the 3 is the y-intercept

The y-intercept is kinda like how far the slope is from zero, but it can only be applied to the y-axis.

The slope is... well... the slope-- like how steep it is. If a slope is 2/1, like in the graph, it will go higher 2 units every 1 unit across. Or, if the slope is 1/4: The slope will go 1 unit higher every 4 units

What is the absolute value of -|-4| ?

Answers

Answer:

- 4

Step-by-step explanation:

the absolute value function always give a positive result , that is

| - a | = | a | = a

then

- | - 4 | = - | 4 | = - 4

A mobile set after allowing a discount of 10% on its marked price, was sold at a gain of 20%,Had it been sold after allowing 20% discount,there would have been a profit Rs.350. Find the cost price and marked price of the mobile set.​

Answers

Answer:

Let x be the cost price.

Let y be the marked price

Gain = 20%

Then , sale price = 120/100 * x = 1.2x

Now , sale price is after 10% discount from marked price.

Hence , marked price, y = 1.2x/90 * 100 =

y * 0.9 = x * 1.2

Now, with 20% discount, sale price = y * 80/100 = 0.8y

Now, profit = 0.8y — x

Now, 0.8y — x = 350

0.8 * x * 1.2/0.9 — x = 350

1.0667x — x = 350

Hence, x = 350/0.0667= Rs.5250

Hence marked price = (5250 + 350) * 100/80 = Rs.7000

Find the area of the following triangle. Show each of the math steps that you use to find the area. Then explain how to go about finding the area of this particular triangle (explain each one of the steps that you showed with your math).

Answers

Right angled triangle

Base=B=2.4cmHeight=H=1.8cm

Area:-

[tex]\\ \rm\rightarrowtail \dfrac{1}{2}BH[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{1}{2}(2.4)(1.8)[/tex]

[tex]\\ \rm\rightarrowtail 1.2(1.8)[/tex]

[tex]\\ \rm\rightarrowtail 2.16cm^2[/tex]

Michael has $1,059.35 in his checking account. He is going to spend $466.43 on a new television, and he will spend the rest on speakers that cost $43.00 each. Which of the following inequalities would determine the maximum number of speakers, x, Michael can buy without spending more money than he has in his account?
A.
$466.43 < $43.00x + $1,059.35
B.
$1,059.35 < $43.00x + $1,059.35
C.
$466.43 + $43.00 + x < $1,059.35
D.
$43.00x + $466.43 < $1,059.35

Answers

Answer:

D. $43.00x + $466.43 < $1,059.35

Step-by-step explanation:

He has $1,059.35.

The amount of speakers he buys is x.

Each speaker is $43.00, and he is buying one television, which is $466.43.

All of the speakers he buys and(+) the television must be less than $1,059.35 because that's all he has. It cannot be more, which is why the equation is $43.00x + $466.43 < $1,059.35.

Hope this helps!

Answer:

D

Step-by-step explanation:

its $43 each and he wants to buy more than one so that means thats x

that marks out C

so 43.00x +466.43 is less than 1,059.35

I really feel like one of them should have less than/greater than or equal to sign but without I think its D

quick qustion the answer is at the tip of my tong but I cant seem to get it right what is 100 divided by 2

Answers

Answer:

50

Step-by-step explanation:

100/2=50

Answer:

100 divided by 2 is 50

Step-by-step explanation:

i just did it in my head

can anyone help me solve this problem? (b^2 j^2) ^3 (b^5 j^5 ) ^4

Answers

(b^2 j^2)^3 = b^2x3 j^2x3 = b^6 j^6
(b^5 j^5)^4 = b^5x4 j^5x4 = b^20 j^20
b^6 b^20 j^6 j^20 = b^26 j^26.


PLS HELP
it is the last question ignore the lesson and pg number ;)

Answers

Answer:

the last answer is -1 :))))))

is (1,9) included in the graph p=3m+6

Answers

Yes. The point (1,9) is directly on the graphed line, meaning that it is included.

A frog starts jumping from the middle of a circular pond.
The pond is 12 metres across, from one side to the other.
43
The frog always jumps half the distance left to the edge of the pond.
How far is the frog from the edge after 3 jumps?

Answers

Answer:

Step-by-step explanation:

Remark

You could do this simply by taking 3 jumps, without using a formula. That would work as well, but I think it is easier just to make 3 jumps.

Jump One

The frog starts out 6 meters from an edge. (He/she starts at the middle). The frog makes 1 jump.

He lands 3 meters (1/2 the distance) from the edge.

Jump Two

He jumps in such a way that he is 1/2 the distance from the edge. So far he is 3 meters away. His jump puts him 1 1/2 meters from the edge.

Jump Three

The frog makes one last jump. It is 1 1/2 meters from the edge. The third jump takes it 1/2 * 3/2 = 3/4 a meter away from the edge.

Answer: 3/4 of a meter from the edge.

Evaluate the expression when a=5 and b=28.b+(30)/(a)

Answers

Answer:

34

Step-by-step explanation:

Just substitute in the valuesThis would give 28 + 30/5 = 28 + 6 = 34

Solve the word problem below.
Jane took out $135 from her checking account. If Jane now has a balance of $650 in her
account, how much did Jane have in the account before she took out any money?
Step 1: If x represents the variable in the word problem above, explain what the variable should
represent.
Step 2: Write an equation to model the situation.
Step 3: Solve the equation and write your answer in sentence form. Show your work.

Answers

Answer:

x = the amount of money Jane had before she took out any

x - 135 = 650

x = 785

Step-by-step explanation:

Let x = the amount of money Jane had before she took out any

Set up the equation

x - 135 = 650

To solve the equation, we must add 135 on both sides to cancel the -135 on the left side of the equal sign.

x - 135 = 650

x = 785

I hope this helps and please mark me as brainliest!

Convert equation to standard form
18) y+1=4/5(x-5)

Answers

Answer:

4x - 5y = 25

Step-by-step explanation:



Karina gets a 3% interest rate per year for her savings account. She has $8,500 in her savings account. How much money does she have in her account after 1 year?

Answers

Answer:8755

Step-by-step explanation:100%+3%=103% in decimal form 1.03

8500x1.03=8755

please answer these for me! Right answers only. Thanks

Answers

Answer:

For all of these triangles apply the formula;

A = BH x 1/2

Where 'B' represents the base, 'H' stands for the height, and 1/2 just means to divide the product of the two lengths (base x height) by 2.

1.

Base = 9.1

Height = 31.2

Plug into formula:

A = BH x 1/2

A = 9.1(31.2) x 1/2

A = 283.92 x 1/2

A = 283.92/2

A = 141.96 square centimetres.

2.

Base = 5

Height = 3 3/4 which can be considered 3.75

Plug into formula:

A = BH x 1/2

A = 5(3.75) x 1/2

A = 18.75 x 1/2

A = 18.75/2

A = 9.375 square kilometres.

3.

Base = 2.4

Height = 3.2

Plug into formula:

A = BH x 1/2

A = 2.4(3.2) x 1/2

A = 7.68 x 1/2

A = 7.68/2

A = 3.84 square inches.

4.

Base = 11

Height = 60

Plug into formula:

A = BH x 1/2

A = 11(60) x 1/2

A = 660 x 1/2

A = 660/2

A = 330 square millimetres.

5.

Base = 10

Height = 13 1/2 which can be considered 13.5

Plug into formula:

A = BH x 1/2

A = 10(13.5) x 1/2

A = 135 x 1/2

A = 135/2

A = 67.5 square feet.

Answer:

1. 141.96 cm²

2. 9 km²

3. 3.84 in

4. 10.39mm

5. 66.67 ft

Step-by-step explanation:

Formula of Area of Triangle : ½ × base × height

1. = ½ × 9.1 × 31.2

= 9.1 × 15.6

= 141.96 cm²

2. = ½ × 3¾ × 5

= ½ × 15/4 × 5

= 15/8 × 5

= 75/8 = 9 km²

3. = ½ × 3.2 × 2.4

= 3.84 in

4. = tan c = AB/BC

c = tan -¹ (AB/BC)

c = tan -¹ (60/11)

c = 79.61

A = 90 - 79.61 = 10.39mm

5. = ½ × 13 × 10ft

= 66.666 66.67 ft

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

Write the statements of the following algebraic expressions!
A- a+1
B- q-9
C- 3y+7
D- x/3+9
E- 3x+10

Answers

Answer:

See below ↓↓↓↓↓

Step-by-step explanation:

A - the sum of a number 'a' and 1B - the difference between a number 'q' and 9C - 7 plus the product of a number 'y' and 3D - 9 plus the quotient of a number 'x' and 3E - 10 plus the product of a number 'x' and 3
A- a+1

= 1 more than a number (a)

B- q-9

= q less than 9

C- 3y+7

= 3 times y added to 7

D- x/3+9

= a number (x) divided by 3 more than 9

E- 3x+10

= 3 times x added to 10

The lengths of the sides of triangle ABC are represented in terms of the variable m, where m > 6.

AB = m – 2

BC = m + 4

AC = m

List the angles from smallest to largest.

angle
, angle
, angle
✔ A

.

Answers

Answer:

m(C)<m(B)<m(A).

Step-by-step explanation:

1) according to the condition the shortest side is AB, the longest side is BC, the middle is AC. Then

2) the smallest angle is BCA (or C), the middle angle is ABC (or B), the largest angle is BAC (or A).

The list of the angles from smallest to largest are C, B and A.

Given that a triangle has side measurements represented in terms of the variable m, where m > 6.

AB = m - 2

BC = m + 4

AC = m

We need to list the angles from smallest to largest.

Since none of the sides are equal, therefore it is a scalene triangle.

Let us consider m = 6.

Then,

AB = m - 2

AB = 6 - 2

AB = 4

BC = m + 4

BC = 6+4

BC = 10

AC = m

AC = 6

It means that the longest side is BC, the medium side is AC and the shortest side is AB.

We know that the longest side of a triangle corresponds to the largest angle and vise versa.

Therefore,

The smallest angle is angle C.

The medium angle is angle B.

The largest angle is angle A

Learn more about Triangles click;

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Expand and simplify (x+6)(x−11)

Answers

Answer:

x^2 - 5x - 66

Step-by-step explanation:

1. Distrubute the x to the x and -11 so you will get x^2 - 11x

2. Distrubute the 6 to x and -11 and you get 6x - 66

3. Combine like terms (x^2 - 11x + 6x - 66) you will get x^2 - 5x - 66

Determine which postulate or theorem can be used to prove that ABC = DCB.

Answers

Answer:

I believe it is B

Step-by-step explanation:

it has somewhat some thing to do with the lines at BC it's had to put in words

The postulate or theorem can be used to prove that ΔABC ≅ ΔDCB is ASA.

The correct option is A.

What is Congruency?

Congruency is a concept in geometry that refers to the equality of shape and size between two or more geometric figures. When two figures are congruent, it means that they have exactly the same shape and size, and their corresponding sides and angles are equal.

In ΔABC and ΔDCB

<BAC= <BDC (given)

<BCA= <DBC(given)

CB = CB (common)

So, by ASA criteria ΔABC ≅ ΔDCB.

Learn more about congruency here:

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Cara computes the mean and variance for the set 87, 46, 90, 78, and 89. She finds the mean to be 78. Her steps for finding the variance are shown below. Variance squared = StartFraction (87 minus 78) squared + (46 minus 78) squared + (90 minus 78) squared + (78 minus 78) squared + (89 minus 78) squared Over 5 EndFraction Variance squared = StartFraction (9) squared minus (32) squared +

BACK

Answers

Answer:

The answer is 274

Step-by-step explanation:

Given;Cara computes the mean and variance for the set 87, 46, 90, 78, and 89. She finds the mean to be 78.To Find;Variance:-

Now,

Definition of Variance:

Variance is the value of the squared variation of the random variable from its mean value, in probability and statistics.

So,

[tex] \frac{ {(87 - 78)}^{2} + ( {46 - 78)}^{2} + (90 - 78) {}^{2} + ({78 - 78)}^{2} + ( {89 - 78)}^{2} } {5} [/tex]

[tex]Var(X) \: = \frac{1370}{5} = 274 \\ [/tex]

Thus, The variance of the sequence is 274.

What is the period of rotation of the wheel for which the height of a rider (in feet) above the ground after riding the wheel for t seconds dunce passing the farthest right position on the wheel given by h(t)=60+45 sin (30t)?

Answers

According to the given sine function, it is found that the period of rotation is of 0.21 seconds.

What is the period of a sine function?

Suppose a sine function modeled by:

[tex]y = A\sin{[B(x + c)]}[/tex]

The period is given by:

[tex]P = \frac{2\pi}{B}[/tex].

In this problem, the function is:

h(t)=60+45 sin (30t).

The vertical shift and the amplitude do not interfer in the period, hence B = 30 and:

[tex]P = \frac{2\pi}{30} = 0.21[/tex]

The period of rotation is of 0.21 seconds.

More can be learned about the period of a sine function at https://brainly.com/question/16818112

Find the value of A+B

5/x²+6x+8 = A/x+2 + B/x+4

Answers

Step-by-step explanation:

[tex] \frac{5}{ {x }^{2} + 6x + 8} = \frac{a}{x + 2} + \frac{b}{x + 4} \\ factorizing \: the \: denominator \: of \: the \: first \: term \\ {x}^{2} + 6x + 8 \\ {x}^{2} + 4x + 2x + 8 \\ ( {x}^{2} + 4x)( + 2x + 8) \\ x(x + 4) + 2(x + 4) \\( x + 2)(x + 4) \\ \\ \\ \\ \frac{5}{(x + 2)(x + 4)} = \frac{a}{x + 2} + \frac{b}{x + 4 } \\ multiplying \: by \: the \: lcm = (x + 2)(x + 4) \\ 5 = a(x + 4) + b(x + 2) \\ put \: x = - 4 \\ 5 = a( - 4 + 4) + b( - 4 + 2) \\ 5 = a(0) + b( - 2) \\ 5 = 0 - 2b \\ 5 = - 2b \\ b = \frac{5}{ - 2} \\ b = - 2 \ \frac{1}{2} \\ substituting \: b = - 2 \frac{1}{2} and \: put \: x = - 2 \\ 5 = a( - 2 + 4) + b( - 2 + 2) \\ 5 = a(2) + b(0) \\ 5 = 2a \\ a = 2 \frac{1}{2} \\ a + b = 2 \frac{1}{2} + ( - 2 \frac{1}{2} ) \\ 2 \frac{1}{2} - 2 \frac{1}{2} \\ a + b = 0[/tex]

Tyger spends 25 minutes studying mathematics, 35 minutes studying science and 40 minutes studying history. What percentage of his time is spend studying science?

Answers

Answer:

35%

Step-by-step explanation:

First, we add :)

25 + 35 + 40 = 100

Now we divide :)

35/100 = 0.35 = 35%

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

30%

Step-by-step explanation:

You Do it

what is the Median of the numbers 45, 40, 47, 50, 45, 49, 40, 46?

Answers

Answer: 45

Step-by-step explanation:

The Median is the Middle # in the set.

I hope this helps!

What is 8 1/3 - 3 1/2?

Answers

29/6 = 4 5/6 simplified

Answer:

4 5/6

Step-by-step explanation:

Turn both 8 1/3 and 3 1/2 into improper fractions (just to make it less complicated).

8 1/3 = 25/3

3 1/2 = 7/2

Then, try and make the denominators the same by finding the LCD (least common denominator).

The least common denominator of 3 and 2 is 6. Multiply both the denominators (3 and 2) to get 6, multiply the numerator with it as well (I can't explain this part properly, but the fractions will somehow explain).

[tex]\frac{25*2}{3*2}[/tex] = [tex]\frac{50}{6}[/tex]

[tex]\frac{7*3}{2*3}[/tex] = [tex]\frac{21}{6}[/tex]

So, then subtract (50/6 - 21/6).

50/6 - 21/6

= 29/6 = 4 5/6

So, 8 1/3 - 3 1/2 is 4 5/6.

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