A cable network offers members a Basic plan for ​$7.26 per month. For ​$3.00 more per​ month, the cable network offers a Standard​ plan, which includes HD movies. During one​ week, 310 new subscribers paid a total of ​$2580.60 for their plans. How many Basic plans and how many Standard plans were​ purchased?
___Basic plans and ___ Standard plans were purchased

Answers

Answer 1

Answer:

110 basic plans and 200 standard plans were purchased.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x is the number of basic plans.

y is the number of standard plans.

310 new subscribers

This means that [tex]x + y = 310[/tex], and so, [tex]y = 310 - x[/tex]

A cable network offers members a Basic plan for ​$7.26 per month. For ​$3.00 more per​ month. Total paid of $2580.60.

This means that:

[tex]7.26x + 10.26y = 2580.6[/tex]

Since [tex]y = 310 - x[/tex]

[tex]7.26x + 10.26(310 - x) = 2580.6[/tex]

[tex]7.26x + 3180.6 - 10.26x = 2850.6[/tex]

[tex]3x = 330[/tex]

[tex]x = \frac{330}{3}[/tex]

[tex]x = 110[/tex]

Then

[tex]y = 310 - x = 310 - 110 = 200[/tex]

110 basic plans and 200 standard plans were purchased.


Related Questions

A rancher has 600600 feet of fencing to put around a rectangular field and then subdivide the field into 33 identical smaller rectangular plots by placing two fences parallel to one of the field's shorter sides. Find the dimensions that maximize the enclosed area. Write your answers as fractions reduced to lowest terms.

Answers

Answer:

x =  150 ft

y  =   y  =  150 / 17 ft

Step-by-step explanation:

Area of the field is    A  =  x*y

Let´s assume x is the larger side of the rectangle, and that we will get 33 identical smaller rectangular plots dividing  x into 33 rectangles ( using 34 sides of length  y ) then the quantity of fence is:

p  =  2*x  +  34*y   ⇒   600  =  2*x  +  34*y        y  =  ( 600 - 2*x)/34

A = x*y

A (x)  =  x*  ( 600 - 2*x)/34

A (x)  = ( 600*x  - 2*x²)/34

Taking derivatives on both sides of the equation:

A´(x)  = (1/34)* ( 600 - 4*x )

A´(x)  =  0       (1/34)* ( 600 - 4*x ) = 0      600  -  4*x  = 0

x  =  600/4

x = 150 feet

And  y  =  (1/34)( 600 -  2*150)

y  =  300/34    y  =  150 / 17 ft

y  =  8.82 ft

How do we know that is a maximum area, we find the second derivative of A

A´´(x)   =    - 4/34      then  A´´(x) < 0

We get a maximum of function A for the value  x = 150

Jane wants to add chocolate chips to her trail mix. A 3-pound bag of chocolate chips cost $3.22 . What is the unit price ?

Answers

Answer:

It would be 1.073 you can also rojnd ot to 1.07

Answer:

$1.07 per pound

Step-by-step explanation:

$3.22/3lb is about $1.07 per lb.

Given that angle ABC=70° and that angle BCD=110°. Is it possible (consider all cases) that Line AB intersects line CD ?

Answers

Answer:

yes.

Step-by-step explanation:

#CarryOnLearning

pls answer! Dylan spots an airplane on radar that is currently approaching in a straight line, and
that will fly directly overhead. The plane maintains a constant altitude of 6400 feet.
Dylan initially measures an angle of elevation of 16° to the plane at point A. At some
later time, he measures an angle of elevation of 36° to the plane at point B. Find the
distance the plane traveled from point A to point B. Round your answer to the
nearest foot if necessary.

Answers

Answer:

13510 ft

Step-by-step explanation:

I have attached a triangle diagram to depict this situation.

From the diagram, we see that distance between A and B is denoted by x.

Now, from trigonometric ratios in this type of triangle, let's first find y.

6400/y = tan 36

y = 6400/tan 36

y = 8808.84 ft

Now, we can find x from;

6400/(8808.84 + x) = tan 16

6400/tan 16 = 8808.84 + x

22319.452 = 8808.84 + x

x = 22319.452 - 8808.84

x ≈ 13510 ft

The distance the plane traveled from point A to point B is 13510 ft

Calculation of the distance:

Here we assume the distance between A and B should be x.

Now the y value should be

[tex]6400\div y = tan 36\\\\y = 6400\div tan 36[/tex]

y = 8808.84 ft

Now, we can find x

[tex]6400\div (8808.84 + x) = tan\ 16\\\\6400\div tan\ 16 = 8808.84 + x[/tex]

22319.452 = 8808.84 + x

x = 22319.452 - 8808.84

x ≈ 13510 ft

Learn more about distance here: https://brainly.com/question/785292

Soosie's Cookie Company had fixed costs of $1250 and variable costs of $4.25 per dozen gourmet cookies that were baked and packaged for sale. Write an equation that can be used to determine the total cost when x dozens of cookies are baked and sold. Then determine the total cost of baking and selling 85 dozen gourmet cookies.

Answers

Answer:

$1250.00 + (x)$4.25 =

Step-by-step explanation

So fixed costs are $1,250.00.....every dozen you bake add $4.25 to the costs, cook one dozen you have $1,250.00 plus $4.25 or a total of $1,254.25.

Cook 10 dozen and you add $45.25 = the $1,250.00 for a new total of $1,295.25.

Solve x^2+14x=15 by completing the square.

Answers

The answer to your question is x=1

Answer:

-15, 1

Step-by-step explanation:

See image below:)

What is the following quotient?

Answers

Answer:

First option is the correct answer.

[tex] \huge{ \purple {2( \sqrt[3]{3} ) - \sqrt[3]{18} }}[/tex]

Step-by-step explanation:

[tex] \frac{6 - 3(\sqrt[3]{6} )}{ \sqrt[3]{9} } \\ \\ = \frac{ \sqrt[3]{ {6}^{3} } - \sqrt[3]{ {3}^{3} } . \sqrt[3]{6} }{ \sqrt[3]{9} } \\ \\ = \frac{ \sqrt[3]{216} - \sqrt[3]{ {3}^{3} \times 6} }{ \sqrt[3]{9} } \\ \\ = \frac{ \sqrt[3]{216} - \sqrt[3]{ 27 \times 6} }{ \sqrt[3]{9} } \\ \\ = \sqrt[3]{ \frac{216}{9} } - \sqrt[3]{ \frac{27 \times 6}{9} } \\ \\ = \sqrt[3]{24} - \sqrt[3]{3 \times 6} \\ \\ = \sqrt[3]{ {2}^{3} \times 3} - \sqrt[3]{18} \\ \\ \huge{ \red{ = 2( \sqrt[3]{3} ) - \sqrt[3]{18} }}[/tex]

Please help meeeeeee!!​

Answers

Since m is parallel to n, the angle opposite to 4x-23 will be 2x+17. These are vertical angles, meaning they’re the same.
4x-23=2x+17
2x=40
x=20
Problem:-

Find x so that m || n. Show your work.

Solution:-

Since m || n, 4x – 23 = 2x + 17 by the Converse of alternate exterior angles theorem.

Solve for x.

[tex]\sf{4x-23=2x+17}[/tex]

[tex]\sf{4x-2x-23=2x-2x+17}[/tex]

[tex]\sf{2x-23=17}[/tex]

[tex]\sf{2x-23+23=17+23}[/tex]

[tex]\sf{2x=40}[/tex]

[tex]\sf{\frac{2x}{2}={\frac{40}{2}}}[/tex]

[tex]\sf{x={\color{magenta}{20}}}[/tex]

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

#Hope it helps!

(ノ^_^)ノ

Use the Pythagorean Theorem to find the length of the leg in the triangle shown below. The figure shows a right triangle with one leg marked 8. The hypotenuse is marked 10. The figure shows a right triangle with one leg marked 8. The hypotenuse is marked 10.

Answers

Answer:

6

Step-by-step explanation:

a² + b² = c²

a² + 8² = 10²

a² + 64 = 100

Subtract 64 from both sides

a² = 36

Take the square root of both sides

a = 6

Answer:

x²+y²=hyptneus ²

Step-by-step explanation:

length is always positive

so answer is 6

Urgent
Please help!
Factorise

Answers

Answer:

a.

x²+3x-4

doing middle term factorization

x²+(4-1)x-4

x²+4x-x-4

x(x+4)-1(x+4)

( x+4)(x-1)

b.

x²-2x-3

x²-3x-x-3

x(x-3)-1(x-3)

(x-3)(x-1)

c.

x²+2x-8

x²+4x-2x-8

x(x+4)-2(x+4)

(x+4)(x-2)

a) (x-1) (x+4)
b) (x-3)(x+1)
c) (x-2) (x+4)

The radius of a circle is 10 cm. Find its circumference in terms of \piπ.

Answers

[tex]{ \bf{ \underbrace{Given :}}}[/tex]

Radius of the circle "[tex]r[/tex]" = 10 cm.

[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]

The circumference of the circle.

[tex]{ \bf{ \underbrace{Solution :}}}[/tex]

[tex]\sf\orange{The\:circumference \:of\:the\:circle\:is\:20\:π\:cm.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

We know that,

[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:2πr }[/tex]

[tex] = 2 \: \pi \times 10 \: cm \\ \\ = 20 \: \pi \: cm[/tex]

Therefore, the circumference of the circle is 20 π cm.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]

How many 1/3 servings are in 36 servings?

Answers

Answer:

108

Step-by-step explanation: When you want to find out how much a fraction fits into a number, you have to multiply it by how much it takes to make 1 whole number using the fraction. 1/3 requires 3 of them to make 1 whole number. This means that 36 can be multiplied by 3, which gives us the answer of 108

Answer:

108 of 1/3 servings are in 36 servings.

Step-by-step explanation:

3/1 multiples 3 become 1.

1 multiple 36 and equal 36,

so,3 multiple 36.

3×36=108

Fraction with a  Denominator of 60 that is equivalent to 2/3

Answers

Answer:

40

Step-by-step explanation:

you have to find the multiplier that gets 3 to equal 60, that would be 20

therefore, you then multiply the numerator by 20 also and get 40

A stack of squares has 170 squares in the bottom row, 156 in the second row from the bottom, 142 in the third row from the bottom and 128 in the fourth row from the bottom. How many squares will there be in the 11th row from the bottom ? - a table always makes these sums easier!)​

Answers

9514 1404 393

Answer:

  30

Step-by-step explanation:

The sequence of square counts is ...

  170, 156, 142, 128

The differences from one row to the next are ...

  -14, -14, -14

We see that the differences are constant, so we know the sequence is an arithmetic sequence with first term 170 and common difference -14. This means the n-th term is ...

  an = a1 +d(n -1) . . . . . . for first term a1 and common difference d

  an = 170 -14(n -1)

For n=11, the number of squares is ...

  a11 = 170 -14(11 -1) = 30

There will be 30 squares in the 11th row.

Simplify the expression 2(4x – 2) + x if x = 6.

Answers

Answer:

44

Step-by-step explanation:

2(4x-2)

2(4(6)-2)

2(24-2)

2(22)

44

Hope this helps! :)

Answer and Step-by-step explanation:

Simply plug 6 in for x.

2(4(6) - 2) + 6

Multiply 4 by  6.

2(24 - 2) + 6

Subtract 2 from 24.

2(22) + 6

Multiply 22 by 2.

44 + 6

Add.

50

The answer is 50.

#teamtrees #PAW (Plant And Water)

help help help help help

Answers

Answer:

11.

Step-by-step explanation:

The scores 60-69 has two people. The scores 70-79 have 9 people. Both are lower or below 80.

Answer:

11

Step-by-step explanation:

Add the number of people in the 60-69 range ( 2) and the number of people in the 70-79 range (9) to get the number of people below 80

2+9 = 11

Find the value of x for which the lines p and q are parallel.

Answers

Answer:

D

Step-by-step explanation:

have a good day

Answer:

D) 7

Step-by-step explanation:

Since the two angles marked are corresponding, if [tex]p[/tex] and [tex]q[/tex] are parallel, they must be equal.

Therefore, we have:

[tex]14x+18=116,\\14x=98,\\x=\boxed{7}[/tex]

The scatter plot below shows the ages and heights of a baseball team. Each dot represents one player. What is the total
number of 12-year olds who are more than 60 inches tall?
A 3
B 7
C5
D 2

Answers

Answer:

D

Step-by-step explanation:

if each dot is one person then there are only 2 people that are 12 and that are more than 60in tall

Answer:

its 2 because it says how many are 12 years old and are taller than 60

You collect the following data for explanatory variable A and response variable B:

A(x) B(y)
1 14.2
2 14.9
3 15.5
4 16.8
5 17.8
6 18.9
7 20.1
8 20.9
9 21.5
10 22

You calculate the following summary statistics: x-bar = 5.5, s subscript x = 3.03, y-bar = 18.26, s subscript y = 2.85, and r = .995.

Required:
What's the critical t value you'd use for a 95% confidence interval for the slope of this regression line?

Answers

Answer:

v

Step-by-step explanation:

Gregorio made 25 quart of hot chocolate. Each mug holds 1/10 quart. How many
mugs are used for the hot chocolate?

Answers

Answer:

4 mugs of hot chocolate

Step-by-step explanation:

So, we must find out how many mugs of hot chocolate we can make.  

Then we set up a ratio of amount of chocolate to mugs such as  

(2/5) / (1/10) = (2/5)(10/1) = 20/5 = 4 mugs of hot chocolate

Hope this answer helps you :)

Have a great day

Mark brainliest

graph the line with intercept 6 and slope
[tex] - \frac{3}{2} [/tex]

Answers

Given:

The y-intercept of a line = 6

The slope of the line = [tex]-\dfrac{3}{2}[/tex]

To find:

The graph of the given line.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]

Where, m is the slope and b is the y-intercept.

Putting [tex]m=-\dfrac{3}{2}[/tex] and [tex]b=6[/tex] in the above equation, we get

[tex]y=-\dfrac{3}{2}x+6[/tex]

At [tex]x=0[/tex],

[tex]y=-\dfrac{3}{2}(0)+6[/tex]

[tex]y=0+6[/tex]

[tex]y=6[/tex]

At [tex]x=2[/tex],

[tex]y=-\dfrac{3}{2}(2)+6[/tex]

[tex]y=-3+6[/tex]

[tex]y=3[/tex]

Plot these two points (0,6) and (2,3) on a coordinate plane and connect them by a straight line to get the graph of the required line.

The required graph is shown below.

Rewrite each of the following statements in the form "∀ _____ x, _____."
(a) All dinosaurs are extinct. ∀ ---Select--- x, ---Select--- .
(b) Every real number is positive, negative, or zero. ∀ ---Select--- x, ---Select--- .
(c) No irrational numbers are integers. ∀ ---Select--- x, ---Select--- .
(d) No logicians are lazy. ∀ ---Select--- x, ---Select--- .
(e) The number 2,147,581,953 is not equal to the square of any integer. ∀ ---Select--- x, ---Select--- .
(f) The number −1 is not equal to the square of any real number.

Answers

Answer:

The rewritten statements is as follows:

(a) ∀ dinosaur x, x is extinct.

(b) ∀ real [tex]number[/tex] x, x is positive, [tex]negative[/tex], or zero.

(c) ∀ irrational [tex]number[/tex] x, x is not an [tex]integer[/tex].

(d) ∀ logician x, x is not lazy.

(e) ∀ integer x, [tex]x^2 \ne 2,147,581,953[/tex]

(f)  ∀ real number x, [tex]x^2 \ne -1[/tex]

Step-by-step explanation:

As a general rule, words like "all", "every", "the", etc. are represented with ∀.

However, some sentences may be need to rephrased before such sentence can be rephrased

So, the following replacement will be made:

(a)

[tex]All \to[/tex]

[tex]dinosaurs \to x[/tex]

(b)

[tex]Every \to[/tex] ∀

[tex]real\ number \to x[/tex]

(c)

First, we need to rephrase this sentence to:

Every irrational number is not integer

So, the replacement is:

[tex]Every \to[/tex] ∀

[tex]irrational\ number \to x[/tex]

(d)

First, we need to rephrase this sentence to:

Every logician is lazy

So, the replacement is:

[tex]Every \to[/tex] ∀

[tex]lazy \to x[/tex]

(e)

First, we need to rephrase this sentence to:

The integer 2,147,581,953...............

So, the replacement is:

[tex]The \to[/tex]

[tex]Integer \to x[/tex]

(f)  

Replace:

[tex]The \to[/tex]

[tex]-1 \to x^2[/tex]

A house on the market was valued $234,000. After several years, the value decreased by 9%. By how much did the house's value decrease in dollars? What is the current value of the house?

Answers

The price decreases by $288,000*(0.19)=$54,720

The current value is then $233,280.

Help me please with this question

Answers

9514 1404 393

Answer:

  c.  3 to 4

Step-by-step explanation:

There are 3 oranges and 4 apples in the bowl, so the ratio is ...

  oranges/apples = 3/4 or 3 to 4

Help please this question is so hard!

Answers

So to solve this first you need to convert all the answers to decimals.
Site B 17/9 = 1.89 when you round up
Site D 4/3 = .75
Then look at all the numbers least to greatest.
D .75 m C 1.36 m A 1.60 m B 1.89 m
Answer D, C, A, B

find integral∫cos³x dx) )?​

Answers

Answer:

sin(x)−1/3(sin3(x))+C

Step-by-step explanation:

use u substitution method to integrate

cos³(x) = cos(x) cos²(x)

… = cos(x) (1 - sin²(x))

Substitute u = sin(x) and du = cos(x) dx. Then in the integral, you get

∫ cos³(x) dx = ∫ (1 - u ²) du

… = u - 1/3 u ³ + C

… = sin(x) - 1/3 sin³(x) + C

What are the steps in finding the average height? Plz help ty :>

(Problem-solving questions- Calculating the average height of all the children in your class)

Answers

Answer: add all the heights and divide by number of children.

Step-by-step explanation: add all heights and divide by number of children

Find the area of the kite with diagonals a= 12 and b=9

A) 30
B) 72
C) 54
D) 108

Answers

maybe 108 is the answer.

Mark Brainliest please

Answer :

A=pq/2=12*9/2=54

First and 2nd question is easier.
1) What is 3% of 0.80 and what is 7% of 0.40
2) what is 90$ of 3 and what is 40% of 24

Answers

Answer:

3% of 0.80 = 0.024

7% of 0.40 = 0.028

90% of 3 = 2.7

40% of 24 = 9.6

Step-by-step explanation:

help pls ? heusnwkq bsjnsjjw​

Answers

Answer : A ; 4

Explanation : Domain is the x-value
Other Questions
Facial expressions may display emotions clearly, but the meaning of a facial expression may be misinterpreted. True False Which values are solutions to the inequality below? Check all that apply.x < 64O A. 911B. 66C. 64D. 6E. 8F. no solutions 1.What does it mean when a solid white line separates a narrow bike lane fromthe right-most lane of traffic?A Motor vehicles may not use the bike lane except to make a turnB. Motor vehicles may not use the bike lane except to parkC. Motor vehicles may not use the bike lane for any reasonD. Bicyclists may not turn left for any reason, except in an emergency What elements are included in a storyboard frame? please give answer I will mark as brainliest if you give the right answer The study of how gene expression is turned on and off and which considers theinteractions between DNA, RNA, proteins, and the environment is called HELPFind the distance from point P (-2, 8) to the line y = -1. Muffins are sold in packages of 18 and cost $27 per package. Each of 6 friends gets an equal share of muffins from p packages of muffins. Write an expression to represent how much each friend must pay. help me solve for x. A privately owned lake contains two types of game fish, bass and trout. The owner provides two types of food, A and B, for these fish. Bass require 2 units of food A and 4 units of food B,and trout require 5 units of food A and 2 units of food B. If the owner has 400 units of each food, find the maximum number of fish the lake can support.fishNeed Help?ReadWatch it A recent study suggested that 70% of all eligible voters will vote in the next presidential election. Suppose 20 eligible voters were randomly selected from the population of all eligible voters. What is the probability that fewer than 11 of them will vote How quickly did people respond to assist the injured after the bombing in Oklahoma City?It was immediate.It was the next day.It took days.It took weeks. which point is a solution to the inequality shown in this graph(0, 5)(3, 2)(-3, -6)(5, 0) 5. In the diagram shown below, BC is drawn tangentto circle OA, and BD is a chord in that circle. IfmBD = 144, what is mZCBD?8(1) 36(2) 72(3) 1440(4) 180 please help!!! Without graphing, determine the range of the function f(x) = -5|x-7|+2 overthe interval (-5,10).A. [2 -62B. [2, 17]C. (17, 62]D. (-7, 2] buggys bugs buggles buuuugles what is warehousing and a warehouse Does the U.S Government help regulate the economy? The sum of two consecutive integers is at least 36. What does the equation look like and what is the least possible pair of integers?A.x+x+13618 and 17B.x+x+13617 and 19C.x+x+13618 and 19D.x+x+13618 and 18 Maggie timed how long it tookher to finish a jigsaw puzzle.The first time she finished in12 minutes. She was able tofinish the puzzle twice as fastthe second time and three timesas fast the third time. Howlong did it take her to finishthe puzzle the second and thirdtimes?What is the answer