Mathematics High School

Greg went to Bed Bath and Beyond to buy Christmas gifts for his family this year. In his first trip he bought 4 candles, 5 wallflowers, and 6 lotions for a total of $123. Greg forgot some people on his list the first time so he makes a second trip and spent $48 to buy 2 candles, 3 wallflowers, and 1 lotion. The price of a lotion is 2 less than 2 times the price of a wallflower. How much does each item cost?

Answers

Answer 1

Answer:

Price of Candle: 12.5

Price Wallflower: 5

Price of Lotion: 8

Step-by-step explanation:

Let cost of a candle = [tex]x[/tex]

Let cost of a wallflower = [tex]y[/tex]

Let cost of a lotion = [tex]z[/tex]

Cost of 4 candles = 4[tex]x[/tex]

Cost of 5 wallflowers = 5[tex]y[/tex]

Cost of 6 lotions = 6[tex]z[/tex]

Cost of 2 candles = 2[tex]x[/tex]

Cost of 3 wallflowers = 3[tex]y[/tex]

Cost of 1 lotion = [tex]z[/tex]

As per question statement:

[tex]4x+5y+6z=123 .... (1)\\2x+3y+z=48 ...... (2)\\z=2y-2 ..... (3)[/tex]

Using equation (3) in (1) and (2), the equations get reduced to :

[tex]\Rightarrow 4x+17y = 135 ..... (4)\\\Rightarrow 2x+5y = 50 ..... (5)[/tex]

Multiplying (5) with 2 and subtracting from equation (1):

[tex]7y = 35\\\Rightarrow y = 5[/tex]

By equation (3):

[tex]\Rightarrow z =8[/tex]

By equation (4):

[tex]\Rightarrow x = 12.5[/tex]

Therefore, the answer is:

Price of Candle: 12.5

Price Wallflower: 5

Price of Lotion: 8

Related Questions

The dimensions for a rectangular prism are x + 2 for the length, x + 3 for the width, and x for the height. What is the volume of the prism? Enter your answer as a polynomial in standard form. The volume of the prism can be expressed as (_____)

please if you can explain it to me, I want to understand how to do this as well. thank you for your help

Answers

V = lwh

V = (x + 2)(x + 3)(x)

V = (x)(x^2 + 3x + 2x + 6)

V = (x^3 + 3x^2 + 2x^2 + 6x)

V = x^3 + 5x^2 + 6x

All you do is foil the dimensions together and then combine like terms. Hope this helps!

Answer:

Step-by-step explanation:

can i kiss blackbeltur please? Thank you. Here is a test Good luck answering! No calculalators.
612432x3131324467676898=
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Answers

Wait what I’m confused

Plz help!!!!!!!!!!!!!! Will give brainliest!

Answers

Answer: 2. 3x+54=132

Step-by-step explanation:

3x+54=132

    -54   -54

    3x/3      78/3

x=26

Answer:

1.

m<MNQ =m<P+m<Q exterior angle of a triangle is equal to the sum of two opposite interior angle

2;

132°=3x+54°

3:

132-54=3x

x=78/3

x=26°

What is 16 x 2? This is a random question! I want to give away points so be quickkkkk!

Choose
A) 31
B) 34
C) 32
D) chicken wing

Answers

Answer: C.)32 Bestieeeee

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

1
What is the solution set for -2x + 1 <-4x - 3?
-10
-5
0
5
10
A.
B.
C.
x<2
X> 2
X<-2
x>-2
D.
Look at pic for details

Answers

Answer:

The answer would be C) x < - 2

Step-by-step explanation:

I have attached a picture that shows how the number line looks like!

Which ordered pair is a solution of the inequality y < 3x + 1?

A. (−3, −2)
B. (3, 14)
C. (1, −3)
D. (1, 6)

Answers

Answer:

The answer is C. (1,-3)

Step-by-step explanation:

This is your perfect answer

What is a graphical word that means the same as the letter "a" in
exponential functions?​

Answers

Answer:

Base of the function. Starting value

Step-by-step explanation:

Need help solving #7 please

Answers

Answer:

False

Step-by-step explanation:

The equation says 21 is greater than or equal to 27, so it is false

jeff is buying books at a used bookstore. he wants to approximate the total cost of his purchase before checking out. which amount is the most reasonable approximation of the total price of the 5 books?

Answers

Reasonable approximation of total price of 5 books = 5 x price per book

Calculation of Total Value of Books

Total Value = Quantity x Price

Given : Quantity, of books = 5

So, putting 'Q' in Total Value

Total Value = 5 x price per book

For example : If price per book = 10. Then, Value = 5 x 10 = 50

To learn more about Total Value, refer https://brainly.com/question/14411378?referrer=searchResults

Answer: $35.00

just did it

Step-by-step explanation:

How did immigration to the United States from Europe change between 1840 and 1850?
It decreased by half.
It decreased by a third.
It more than tripled.
It increased tenfold.

Answers

Answer:

it more than tripled

Step-by-step explanation:

I'm not sure if you need more but it requires me to type more to send the answer

Answer:

It more than tripled

Step-by-step explanation:

Right on Edge 2021

y=5/3x+1.33 in standard form

Answers

Answer:

500 x − 300 y  = − 399

Step-by-step explanation:

This should be the answer

Answer:

−300Y + 500x = −399

Step-by-step explanation:

Please Help! Ill give you 55 points.

Answers

Answer:

............................

Step-by-step explanation:

I think the answer is 65 degrees..hope it helps

Can someone please PLEASE help me??? I'll give brainliest!

Answers

Answer:

colllge math or highchool

In an activity, students are pulling marbles from a large jar containing blue and red marbles. In their sample, students will calculate the proportion of blue marbles. Which of the following sample sizes will have the largest sampling variability?

5
10
15
20

Answers

Answer:

5

Step-by-step explanation:

largest variability

PLEASE ANSWER I NEED HELP

Answers

Answer:

The first one

y=1.3y+10

Step-by-step explanation:

Just test every solution,

math worksheet PART 2

Answers

1) 1:1.5
2. 1.5:7
3) 1:7

Answer:

1) 1:1.5

2) 1.5:7

3) 1:7

Step-by-step explanation:

For example, if you add 1.5 +1.5 you get 3 then reapeated you get the same for 4.5.

PLEASE HELP! BRAINLIEST IF CORRECT!
Over a 20-year period, a certain city recorded a total rainfall of 621 inches. The rainfall during this past year was 28 inches. If the variable "r" stands for the total amount of rain for the other 19 years, which of the following units could apply to that variable?

A. months
B. inches
C. years

Answers

Answer: B inches

Step-by-step explanation:

I took the quiz

Answer:

its B

Step-by-step explanation:

A scale factor of 5 was applied to a triangle. What would be the new length of the height and width of the triangle?

Answers

Answer:

haaaahhhhhhhhhaaaaaa

Step-by-step explanation:

Will is buying a house for $185,000. He is financing $165,000 and obtained a 30-year, fixed-rate mortgage with a 6.725% interest rate. How much are his monthly payments? (2 points)

Answers

Answer:  $1067.45

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

Work Shown:

L = 165000 = loan amount or amount financed

r = 0.06725  = annual interest rate in decimal form

i = r/12 = 0.06725/12 = 0.005604167

i = 0.005604167 = approximate monthly interest rate in decimal form

n = number of months = 30*12 = 360 months

P = unknown monthly payment

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

Apply the monthly payment formula

P = (L*i)/( 1-(1+i)^(-n) )

P = (165000*0.005604167)/(1-(1+0.005604167)^(-360))

P = 1067.44636311118

P = 1067.45

1.through: (4,1). parallel to y=2x-3

2.through (4,4) parallel to y=3/2x -2

3.through (4,4) parallel to y=3/2 x-4

4.through (-1,1) prep to y=- 1/3 x+1

5.through (-3,3) prep to y=-3x+4

Answers

I’m just different lol

I’ll give BRAINLIEST just pls help :(

Answers

Answer:

September

December

May and December

Step-by-step explanation:

I am not sure about the last one

HELP PLZ!! WILL MAKR BRAINLIEST

Answers

Answer:

See below

Step-by-step explanation:

The y-intercept is -5.5 as per graph

Taking two random points from the graph to find the slope:

(-1, -6) and (1, -5)

Use slope formula: m = (y2 - y1)/(x2 - x1)

m = (-5 - (-6))/(1 - (-1)) = 0.5

The line in slope-intercept form is (y = mx + b)

y = 0.5x - 5.5

or

y = 1/2x - 11/2

Answer:

i don’t think I understand.

Step-by-step explanation:

Can somebody plz answer questions 13-18 correctly thank you!

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST!!!! :DDD

Answers

Answer:

13. 20%

14.7%

15. 3.5%

16.45%

17. 84%

18. 68.5%

Which equation represents a line with a slope of -2/3
​
and passes through the point (6,-2)?

Answers

y= -2/3x +2
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At right is the tunnel entrance that runs through
Castle Hill in Budapest, Hungary.



-a If the maximum height of the tunnel is the
same as its maximum width, 9.8 meters,
determine a quadratic model to represent
the tunnel
-b State a geometric model that could be used to
represent a truck passing through the tunnel.
-c If a typical truck has a width of 2.62 m,
determine the height limitation that should
be put on these trucks if they are going to
travel through the tunnel safely. State any
assumptions that you made and be sure to
show all of the steps in your solution.
-d Because its length is almost 350 meters,
a truck stopped in the tunnel would need
enough room for the passenger door to open
fully. Suppose a truck with a width of 2.6 m
and height of 3.4 m is stuck in the right lane
of the tunnel by the center line. The top of
the driver's door is 0.2 m below the top of the
truck, and the door opens 0.8 m to the side.
Show that the door can open fully, showing
all of your steps.
-e Determine how close to the side of the tunnel
the truck could be in d be and still be able to
open the passenger door.
-f Describe some issues/concerns that you
think architects take into account when
modelling a tunnel before its construction
End of document​

Answers

Answer:

My buddy what's popping??

Step-by-step explanation:

Those coming from the Pest end had to walk round the Castle Hill on the Buda side to be able to proceed northwards. On 10 February 1853, four years after the completion of the Chain Bridge, the building of a tunnel leading through the hill was started to the plans of Adam Clark. On 6 March 1856, the tunnel was opened for foot traffic, and on 30 April 1857 also for motor traffic. Being 350 meters in length, it leads through under the Buda Castle to the other side of the hill. Its length is approximately identical to that of the Chain Bridge, prompting anecdotes according to which the tunnel has only been built so that in rainy weather, the Chain Bridge can be shoved in and be protected from wet conditions. The entry of the tunnel at its Chain Bridge end was also fittingly designed in classicist style.

Answer:

At right is the tunnel entrance that runs through Castle Hill in Budapest, Hungary.-a If the maximum height of the tunnel is the same as its maximum width, 9.8 meters, determine a quadratic model to represent the tunnel-b State a geometric model that could be used to represent a truck passing through the tunnel.

Step-by-step explanation:

To measure the length of the pond, Jacob marked off congruent triangles as shown in the diagram.

How does he know the lengths of AB and XY are equal?

A. AAS and then corresponding parts of congruent triangles are congruent

B. SSS and then corresponding parts of congruent triangles are congruent

C. SAS and then corresponding parts of congruent triangles are congruent

D. ASA and then corresponding parts of congruent triangles are congruent

Answers

Answer:

B

Step-by-step explanation:

What is the slope of the line that passes through the points (-4, -2)and (−4,−22)? Write your answer in simplest form.

Answers

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

From the question we have

[tex]m = \frac{ - 22 - - 2}{ - 4 - - 4} = \frac{ - 22 + 2}{ - 4 + 4} = - \frac{20}{0} \\ [/tex]

Any number divided by zero is undefined so the slope of the line is undefined.

Hope this helps you

Answer:

Undefined ([tex]\infty [/tex])

Step-by-step Explanation:

We need to find the slope of the line joining the points (-4, -2) and (-4, -22).

We know that, Slope is the difference of abcsissa (x - coordinate) / difference of ordinates (y-coordinate)

[tex]m = \dfrac{y2 - y1}{x2 - x1} [/tex]

Here:

x1 = -4x2 = -4y1 = -2y2 = -22

Plugging these values:

[tex]m = \dfrac{ - 22 - ( - 2)}{ - 4 - ( - 4)} [/tex]

This can be written as:

[tex]m = \dfrac{ - 22 + 2}{ - 4 + 4} [/tex]

[tex]m = \dfrac{ - 20}{0} = \infty [/tex]

Here, The slope of the line is infinite or undefined. An undefined slope (or an infinitely large slope) is the slope of a vertical line!

If l || m, find the value of x.

Answers

Answer:

15

Step-by-step explanation:

(5x + 9)° = 84° (alternate angles)

5x + 9 = 84

5x = 84 - 9

5x = 75

x = 75/5

x = 15

which expression is equivalent to 2(a+3) when a equals 3

2(3)
5(3)
2(3)+3
2(3)+6​

Answers

2(3+3) or 2(3)+6, so the answer is the third option. It’s just using the distributive property.

Answer:

2(3)+6

Step-by-step explanation:

a = 3

substitute a with 3

2(a+3)

= 2(3+3)

= 2(6)

= 12 ✅

i) 2(3) = 6 ❌

ii) 5(3) = 15 ❌

iii) 2(3)+3 = 6+3 = 9❌

iv) 2(3)+6 = 6+6 = 12 ✅

Does anyone know what to change to make line “p” and “q” parallel?

Answers

One of the lines would have to shift 1°
Each line has a measure of 180°
So subtracting 51° from it would give you 129° which, as you can see, is inconsistent with the measurement of 130° on the other line
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