At Sam’s Warehouse, a member pays $25 a year for a membership, and then buys all products at the regular store prices. A non-member does not pay the membership fee, but does pay an additional 5% above the store prices. Write and solve a system of equations to represent this situation where is the store price and is the total amount paid.xy

Answers

Answer 1

Answer:

[tex]y = 25 + x[/tex] --- Members

[tex]y = 1.05x[/tex] --- Non-members

Step-by-step explanation:

Given

[tex]x \to store\ price[/tex]

[tex]y\to total\ amount[/tex]

Members

[tex]Membership =\$25[/tex]

Non-members

[tex]Rate = 5\%[/tex] increase

For the members, the equation is:

[tex]y = Membership + Store\ price[/tex]

[tex]y = 25 + x[/tex]

For non-members, the equation is:

[tex]y = Store\ price * (1 + Rate)[/tex]

[tex]y = x * (1 + 5\%)[/tex]

[tex]y = x * (1.05)[/tex]

[tex]y = 1.05x[/tex]


Related Questions

Which equation in point -slope form describes the line that passes through the point (4,-5) and is perpendicular to the line represented by -7x+2y=14.

Answers

Answer:

[tex]y+5=-\frac{2}{7} (x-4)[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where the given point is [tex](x_1,y_1)[/tex] and m is the slopePerpendicular lines always have slopes that are negative reciprocals (ex. 2 and -1/2, 3/4 and -4/3)

1) Determine the slope (m)

[tex]-7x+2y=14[/tex]

First, rearrange this given equation into slope-intercept form ([tex]y=mx+b[/tex]) so we can easily find the slope.

Add 7x to both sides to isolate 2y

[tex]-7x+2y+7x=7x+14\\2y=7x+14[/tex]

Divide both sides by 2 to isolate y

[tex]y=\frac{7}{2} x+7[/tex]

Now, we can identify clearly that the slope of this line is [tex]\frac{7}{2}[/tex]. Because perpendicular lines have slopes that are negative reciprocals, we know that the slope of the line we're currently solving for will have a slope of [tex]-\frac{2}{7}[/tex].

[tex]m=-\frac{2}{7}[/tex]

2) Plug all necessary values into [tex]y-y_1=m(x-x_1)[/tex]

[tex]y-y_1=m(x-x_1)[/tex]

We know that [tex]m=-\frac{2}{7}[/tex] and that the given point is (4,-5). Plug the slope into the equation

[tex]y-y_1=-\frac{2}{7} (x-x_1)[/tex]

Plug the point into the equation

[tex]y-(-5)=-\frac{2}{7} (x-4)\\y+5=-\frac{2}{7} (x-4)[/tex]

I hope this helps!

Please help ASAP! Will Mark Brainliest!

Answers

12/(5+10)=m/10
4/5=m/10
m=8

Answer:

m = 18

Step-by-step explanation:

10/15 = m/12

Cross multiply using the butterfly method.

15m = 10*12

15m = 120

Divide both sides by 15.

m = 8

I personally like to use ratios but I am not sure if that's what you want. Anyway here's my answer

what is the graph of x+y=8 and y=x+6​

Answers

Answer:

(1, 7)

Step-by-step explanation:

By looking at the graph, the solution is (1, 7).

4 + 2⁵ • (8 – 6) + 3³?

Answers

Answer:

95

Step-by-step explanation:

[tex]4 + {2}^{5} \times (8 - 6) + {3}^{3} \\ 4 + 32 \times (2) + 27 \\ 4 + 64 + 27 \\ 68 + 27 = 95[/tex]

Answer:

95

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

Identify

4 + 2⁵ · (8 - 6) + 3³

Step 2: Evaluate

Exponents:                                                                                                        4 + 32 · (8 - 6) + 27(Parenthesis) Subtract:                                                                                     4 + 32 · 2 + 27Multiply:                                                                                                             4 + 64 + 27Add:                                                                                                                   68 + 27Add:                                                                                                                   95

Please help me with this question!

Answers

Answer:

n=7

Step-by-step explanation:

If they are both increased by 7, you will have 12/18, which is equal to 2/3

Which of the following is a subset of the set E which contains all even integers?
A) {4, 10, 22)
B) {2,4,5,8,10}
C) {1,2,3,4}
D) n(E) = 6

Answers

Answer:

A

Step-by-step explanation:

the numbers available in the set is {4,10,22} all are even numbers only.

During a sale, a shopkeeper reduced the prices of all his goods by 25%.
Calculate the normal selling price of a pair of shoes which was sold for Rs 1350 in the sale.

Answers

Answer:

1800

Step-by-step explanation:

Let y represent the normal selling price

y-y×25/100= 1350

y-y/4= 1350

4y-y/4= 1350

3y/4 = 1350

Cross multiply both sides

3y= 1350×4

3y= 5400

Divide both sides by the coefficient of y whichj is 3

3y/3= 5400/3

y= 1800

Hence the normal selling price is 1800

No files!!!
Will give brainliest and please don’t guess

Answers

Answer:

i think its 54. i might be incorrect.

Step-by-step explanation:

Answer:

54º

Step-by-step explanation:

This really cannot be determined because the combined angle is not marked as 90º

let's assume it is 90º

(7x + 12) +(2x + 24) = 90

Combine like terms

9x + 36 = 90

Subtract 36 from both sides

9x = 54

Divide both sides by 9

x = 6

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

7(6) + 12 = 54º

2(6) + 24 = 36º

54º is the larger angle

HELP ME THANK U π×π

Applying the Pythagorean theorem, solve this triangle.​

Answers

Answer:

20

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

21^2 + b^2 = 29^2

441+b^2 =841

Subtract 441 from each side

441 +b^2 -441 = 841-441

b^2 = 400

Take the square root of each side

sqrt(b^2) = sqrt(400)

b =20

(Mr. Garduño got the dartboard pictured below for
Christmas. It is a regulation size dartboard with a
diameter of 18 inches. It is divided into 20 sectors
(slices). What is the length of the outside arc in each
sector?

Answers

Answer:

fart I have a great job and the people whose this movie I don't have to work on that is a great job with your family for a relationship but not in a Philippine language is

Helpppppppppppppppppppp

Answers

Answer:

930 in^2

Step-by-step explanation:

Area of a parallelogram is Base x Height.

so, 30 x 31 = 930.

Answer: 930 in ^2

Step-by-step explanation:

Area is width x height.

Width = 30

Height = 31

30x31 = 930

A cylinder has a base diameter of 20 meters and a height of 17 meters. What is its volume in cubic meters, to the nearest tenths place?​

Answers

V=5340.7 meters
3.14 using pi sign *10^2*17

pls help me! i’m really confuse on how to tackle this problem (no links)

Answers

Answer:

Step-by-step explanation:

www.564bdyjkthl

In a survey of a town, 54% of residents own a car, 34% of residents own a truck, and 11% of residents own both a car and a truck. What is the conditional probability that a person who owns a car also owns a truck? Round to the nearest whole number.

Options:
20%
46%
23%
32%

Answers

20 percentage I will finish my 20 characters

Hi guys I need help this is exterior angles of a triangle so plz do me a favor 3x+20x+120

Answers

Answer:3x+140

Step-by-step explanation:

Answer:

23x+120

Step-by-step explanation:

3x+20x+120

Combine Like Terms:

=3x+20x+120

=(3x+20x)+(120)

=23x+120

Find the circumference of this circle
using 3 for T.
C [?]
34
C = id
HELPPPP

Answers

Step-by-step explanation:

C = 3 × 34

C = 102

Usually it's

C = 3.14 × 34

C = 106.76

This is a more accurate answer but with your question specifically, the answer above is more correct.

Quantitative reasoning l week 2 discussion What is an example of a situation from your professional or personal life that requires you to compare, understand, and make decisions based on quantitative comparison? Be sure to describe the types of quantitative comparisons you had to make, what decisions you made, and why.

Answers

Answer:b

Step-by-step explanation:

Determine the surface area of the cylinder in terms of π.




602π cm2602π cm2

812π cm2812π cm2

308π cm2308π cm2

518 cm2

Answers

168pi cm2

Explanation: sa= 2pi (r^2) + 2pi (r)h Diameter is 8cm so radius is 4cm

Sa=2pi(4^2)+ 2pi(4) 17

Sa= 32pi + 136pi

Sa= 168 pi 2cm

Help is all I need..

Answers

Answer:

[tex] {(x - 1)}^{2} = 16 \\ x - 1 = |4| \\ x = |4| + 1[/tex]

x = +4 +1

x = +5

and

x = -4 + 1

x = -3

como serian las dimensiones de un tanque australiano (redondo) que tiene que almacenar 5300 litros de agua?

Answers

Step-by-step explanation:

a thing or situation that is annoying because it is complicated or involves a lot of effort

Malla runs 5 miles in thour, How many miles does she run in half an hour? How
many miles does she run in 2 and a half hours? *​

Answers

Answer:

2 and a half miles.....

Step-by-step explanation: I think......

The table below shows the values of f(x) and g(x) for different values of x. One of the functions is a quadratic function, and the other is an exponential function. Which function is most likely increasing exponentially?

Answers

Answer:

G(x) or at least in the question i hae seen but i do not see your table so just gonoff of what i say below becase it might be f(x)

Step-by-step explanation:

Exponetial funtions are when you have a power of, for example g(x)=1+6x^2

It increases at a rather fast pace because of the power of 2 in this equaion when if it did not have thepower of 2 it would increase at a slower pace

Find the area of the isosceles triangle

Answers

Answer:

Step-by-step explanation:The area of an isosceles triangle is the amount of space enclosed between the sides of the triangle. Besides the general area of the isosceles triangle formula, which is equal to half the product of the base and height of the triangle, different formulas are used to calculate the area of triangles, depending upon their classification based on sides. These different types based on sides are given below:

Equilateral Triangle- A triangle with all sides equal.

Isosceles Triangle- A triangle with any two sides/angles equal.

Scalene Triangle- A triangle with all unequal sides.

To find the area of the triangle you first have to find the height. To do this we are using Pythagoras theorem.

h^2 = 20^2 - 16^2
h = 25.6cm

Then find area using 1/2 x b x h

32/2 x 25.6 = 409.6cm^2

A rectangular is 11 inches long and 8 inches wide. Find its area

Answers

Answer:

The area is 88 square inches.

Step-by-step explanation:

To get the area of a rectangle, you multiply the length and the width.

The length of this rectangle is 11 inches and the width is 8 inches.

11x8=88

Tip: You can multiply by 11s easily if you replace the ones with the number you are multiplying. This only works for numbers up to 9 though.

Example:

11x5=55

11x2=22

i need to finish this usa test prep now plz help

Answers

Answer:

R = 101

S = 131

Step-by-step explanation:

First, you will want to get your angle T. Since T is on the same line as the angle with 128 degree, you can easily find angel T. They are supplementary angels and form 180.

T=180-128

T=52

You also know that all angles in a triangle equal to 180

Use that to find angle S

180 = R+S+T

180 = 79 + S + 52

180 - 79 - 52 = S

49 = S, exterior S = 180-49 = 131

Exterior R = 180 - 79 = 101

Now add all your exteriors

Determine the zero solution
f(x)=3x^(2)+5x-12

Answers

Answer:

x= -3 or 4/3

Step-by-step explanation:

3x²+5x-12 =0

3x²+9x-4x-12=0

3x(x+3) -4(x+3) =0

(3x-4)(x+3)=0

x=-3 or 4/3


At the pottery class, Lily made a clay mug measuring 6 inches
. She also made a
flower pot, which was 11 times taller than the mug. How tall was the pot?

Answers

Answer:

66 pots

Step-by-step explanation:

The height of flower pot is 66 inches

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Measurement of mug = 6 inches

as, the slower pot is 11 times taller than the mug

=11 * 6

=66 inches.

Hence, the height of flower pot is 66 inches

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2

please help me out with this equation!
i will mark you as brainliest

Answers

Answer:

A)-19,15,-9,-1,9

Step-by-step explanation:

that's the answer when I compute it

Answer:  -19, -15, -9, -1, 9   (choice A)

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

Explanation:

If we plug in x = -2, then we get,

y = x^2 + 7x - 9

y = (-2)^2 + 7(-2) - 9

y = 4 - 14 - 9

y = -10 - 9

y = -19

So x = -2 leads to y = -19. The answer is between A and D.

---------

If you repeat those steps for x = -1, then you should get y = -15

Then x = 0 leads to y = -9

x = 1 leads to y = -1

Finally, x = 2 leads to y = 9

The outputs we get are: -19, -15, -9, -1, 9 which is choice A

Choice D is fairly close, but we won't have a second copy of -15, and  we don't have an output of -19.

127/4 + 62/3 × 24/6 solve this fraction by BODMAS

Answers

Answer:

The correct solution is "114.39".

Step-by-step explanation:

The given expression is:

⇒ [tex]\frac{127}{4} +\frac{62}{3}\times \frac{24}{6}[/tex]

On solving the above expression with the help of BODMAS rule, we get

Firstly we will have to apply division, we get

=  [tex]31.75+20.66\times 4[/tex]

Now we will have to apply multiplication, we get

=  [tex]31.75+82.64[/tex]

On adding, we get

=  [tex]114.39[/tex]

Part A
This year, water usage has increased by 20% for both regular days and special events.
LAST YEAR'S WATER USAGE:
All regular days - 13,505 gallons
Per special event - 18.5 gallons
Total for the year - 13,616 gallons
Write an equation for the total water usage, U, at the park this year in terms of x, the number of special events the park has hosted.

Answers

Answer:

The total water usage at the park this year, in gallons, U = 16,206 + 22.2·x

Step-by-step explanation:

The given parameters are;

The increase in water usage for both regular days and special event for the current year = 20%

The water usage for last year regular days = 13,505 gallons

The water usage per special event = 18.5 gallons

The total water usage = 13,616 gallons

Therefore, we have;

The water usage for regular days on the current year = 13,505 gallons + (20/100)×13,505 gallons = 16,206 gallons

The water usage per special event for the current year, x = 18.5 gallons + (20/100) × 18.5 gallons = 22.2 gallons

The total water usage, U, at the park this year in terms of 'x', the number of special events the park hosted is given by the sum of the amount of water used on regular days and the product of 'x', and the amount of water used per special event this year as follows;

U = 16,206 gallons + x × 22.2 gallons

∴ The total water usage at the park this year, U = 16,206 + 22.2·x

Answer:

U=16,206+22.2 ^. x

Step-by-step explanation:

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