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

What is$$\frac{\frac{1}{5}-\frac{1}{6}}{\frac{1}{3}+\frac{1}{4}}+\frac{1}{2}?$$

Answers

Answer:

[tex]\frac{39}{70}[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{\frac{1}{5}-\frac{1}{6}}{\frac{1}{3}+\frac{1}{4}}+\frac{1}{2}[/tex] we are to find the value of x as shown below;

[tex]\frac{\frac{1}{5}-\frac{1}{6}}{\frac{1}{3}+\frac{1}{4}}+\frac{1}{2}\\= \dfrac{\dfrac{6-5}{30} }{\dfrac{4+3}{12} } + \dfrac{1}{2}\\\\= \dfrac{\dfrac{1}{30} }{\dfrac{7}{12} } + \dfrac{1}{2} \\\\= \frac{1}{30} * \frac{12}{7} + \frac{1}{2}\\\\= \frac{2}{35} + \frac{1}{2} \\\\= \frac{4+35}{70} \\\\= \frac{39}{70}[/tex]

please solve asap :) thank youuu

Answers

Step-by-step explanation:

I'm pretty sure it would be 67

find the length of sides in an isosceles triangle whose sides are 3x-0.4 & x+1.4 (equal sides) and not equal side is x+0.1

Answers

Answer:

The length of the sides are;

2.3, 2.3 and 1

Step-by-step explanation:

If the equal sides are 3x-0.4 and x + 1.4

This means these two are equal to one another

Thus;

3x-0.4 = x + 1.4

3x-x = 1.4 + 0.4

2x = 1.8

x = 1.8/2

x = 0.9

So the length of the sides are as follows;

3x - 0.4

3(0.9)-0.4 = 2.3

x + 1.4

= 0.9 + 1.4 = 2.3

And lastly

x + 0.1

0.9 + 0.1 = 1

A car is traveling 60 miles per hour. How long will it take to travel 240 miles?​

Answers

Answer:

4 hours

Step-by-step explanation:

240 / 60 = 4

240/60= 4 so the answer is 4 hours

What is greater 80 over 100 or 8 over 10?

Answers

Answer:

they're equal

Step-by-step explanation:

Trick question. They're equal. 80/100 can be simplified to 8/10 by dividing by 10. if you type them both in a calculator, they both equal .80

estimate of 2728/124​

Answers

Answer: the real answer is 22 but a way for you to get a good estimate would be too look at the equation as 2730/120 and then you would get 22.75.

Step-by-step explanation:

Answer: the real answer is 22 but a way for you to get a good estimate would be too look at the equation as 2730/120 and then you would get 22.75.

Step-by-step explanation:

Carly walked to school on 12 of the 20 school days in February. Which value is equivalent to the fraction of the school days in February that Carly walked to school?

Answers

Answer:

12/20

Step-by-step explanation:

please help. i’ll give brainliest

Answers

Answer: What is the question?

Step-by-step explanation:

What is the question?

Find the sum.
(8b + 8) + (7m – 2) + (4n + 4)
(8b + 8) + (7m - 2) + (4n + 4) =
(Simplify your answer.)

Answers

Answer:

8b + 7m + 4n = -10

Step-by-step explanation:

(8b + 8) + (7m – 2) + (4n + 4)

First thing to do is to try to open the brackets, so we have

8b + 8 + 7m - 2 + 4n + 4 =

Next, we collect like terms, so that we have

8b + 7m + 4n + 8 - 2 + 4 =

8b + 7m + 4n + 10 =

And rearranging, we have that

8b + 7m + 4n = -10

Write a linear function f with the values f (2) = 4 and f(-7) = 9.

I think its -5/9+5 1/9 but im not sure, help?

Answers

Answer:

f(x)=-5/9x+46/9

Step-by-step explanation:

Find the coordinates:(2,4)(-7,9)

Find the slope:

m=-5/9

Find the y-intercept:

b=46/9 (or 5 1/9)

Put it together:

You get f(x)=-5/9x+46/9

Write a compound inequality for the graph shown

Answers

Answer:

-1 ≤ x < 6 [ x ≥ -1 and x < 6 ]

Step-by-step explanation:

This is correct

I NEED HELP PLEASE







Coment if u singal

Answers

Answer:

x> -10

Step-by-step explanation:

in order to find what the value of X is you have to multiply the 5 of the denominator into the -6 which would make -30.

You would then divide by 3 in order to get x by itself and would get -30÷3= -10

therefore the answer should be greater than -10

Hope this helped :)

Answer:

x > -10

Step-by-step explanation:

[tex]\frac{3x}{5} > -6[/tex]

Multiply both sides by 5/3

[tex]\frac{5}{3} * \frac{3x}{5} > \frac{5}{3} *(-6)[/tex]

Reduce Everything

[tex]x > -5*2[/tex]

Multiply

x > -10

Which statements are true regarding the diagram? Check all that apply.


1. ΔXYZ ≅ ΔLMN
2. ∠Y ≅ ∠M
3. ∠X ≅ ∠L
4. ∠Z ≅ ∠L
5. YZ ≅ ML
6. XZ ≅ LN

Answers

Answer:

1, 2, 3, 6

Step-by-step explanation:

I don't really know how to explain this but if the only change between the two triangles is that it was reflected, then there was no change of any of the angles or side lengths, you just have to make sure you match up the rights angles and the right sides.

Answer:

Hi how are you doing today Jasmine

find the sum of the first 50 terms below. an=3n+2

Answers

Step-by-step explanation:

1st term = a(1) = 3(1) + 2 = 5

50th term = a(50) = 3(50) + 2 = 152

Sum of first 50 terms = (5 + 152) * (50/2) = 3925.

What is the answer to -6a(2b + 5c) In distributive Property?

Answers

Answer:

-12ab-30ac

Step-by-step explanation:

What is the equation of this line in slope-intercept form? A. y=-4x+1 B. y=-1/4x+1 C. y=4x-1 D. y=4x+1. ​

Answers

Answer:

A (y= -4x+1)

Step-by-step explanation:

The ‘+1’ in the answer represents the point at which the line cuts the y axis (it crosses the y axis at +1)

The -4x comes from finding the gradient of the line which is done by using the formula (y2-y1)/(x2-x1) which will give you -4

c + 1/4c
please help me i need this done now

Answers

Answer:

[tex]1\frac{1}{4} c[/tex]

Step-by-step explanation:

[tex]c+\frac{1}{4}c[/tex]

Rewrite the expression

[tex]= 1c+\frac{1}{4} c[/tex]

Add

[tex]= 1\frac{1}{4} c[/tex]

Therefore, [tex]c+\frac{1}{4}c[/tex] is equal to [tex]1\frac{1}{4} c[/tex].

I hope this helps!

Only 35 people out of the 250 to whom the offer was made refused it. What percent refused it?

Answers

Answer:  14% refused the offer.

Step-by-step explanation: Divide the number of refusals by the total sent.

35/250 = 0.14 Then multiply by 100 to change from decimal to percent.

The quick way to multiply by 100 is to move the decimal point two places to the right. (Delete the 0 at the left.)

0.14 × 100 = 14.  So the answer is 14%

What is the equation in slope-intercept form of the line that crosses the x-axis at 12 and is perpendicular to the line represented by y = 6/5x + 9 ?

Answers

Answer:

The equation of the line in slope-intercept form is;

y = 10 - 5/6·x

Step-by-step explanation:

The given equation of the line to which the required line is perpendicular is presented as follows;

y = 6/5·x + 9

A point on the desired line = (12, 0)  

The relationship of the slope, m₁ of a line, perpendicular to the another line of slope m₂, is given as follows;

m₁  = -1/m₂

Therefore;

The slope of the desired line = -1/(The slope of the given line)

The slope of the desired line = -1/(6/5) = -5/6

The equation of the desired line in point and slope form is given as follows;

y - 0 = -5/6 × (x - 12)

Therefore, the equation of the line in slope-intercept form is;

y = -5/6·x + 10 = 10 - 5/6·x.

what is 25% more than 6 feet

Answers

Answer:

7.5 I guess?

Step-by-step explanation:

??

Step-by-step explanation:

l dont understand this can you explain

In the picture, quadrilateral A'B'C"D' is an image of quadrilateral ABCD after a rotation. The center of rotation is E. Label the missing side and angle measurements

Answers

Answer:

Angle D is 45 degrees. The side length is 9 in.

Step-by-step explanation:

In a rotation, side lengths and angles do not change.

A hockey player has a total record of 90 points earned based on goals and assists. If his ratio of goals to assists is 7:3, how many goals did he get?

Answers

Answer:

[tex]63[/tex] goals

Step-by-step explanation:

Given information:

Total points earned from goals and assists = [tex]90[/tex]

Goals : assists = [tex]7:3[/tex]

Finding the number of goals:

Goals  [tex]=\frac{7}{3+7}\times90[/tex]

[tex]=\frac{7}{10}\times90[/tex]

[tex]=63[/tex]

∴ The hockey player earned [tex]63[/tex] goals.

Hope this helps :)

The answer: 63 goals

Reason: because it is

Which sequence of transformations will map figure Q onto figure Q′?
Two congruent quadrilaterals are shown on a coordinate plane; quadrilateral Q with coordinates negative 9 comma 2, negative 6 comma 4, negative 4 comma 4, and negative 2 comma 2; quadrilateral Q prime with coordinates 2 comma 2, 4 comma 4, 6 comma 4, and 9 comma 2.

A) Translation of (x, y + 2), reflection over x = 1, and 180° rotation about the origin
B) Translation of (x, y − 2), reflection over x = 1, and 180° rotation about the origin
C) Translation of (x, y − 2), reflection over y = 1, and 180° rotation about the origin
D) Translation of (x, y + 2), reflection over y = 1, and 180° rotation about the origin

Answers

Answer:

Which sequence of transformations will map figure Q onto figure Q′?

 Its D.Translation of (x, y + 2), reflection over y = 1, and 180° rotation about the origin

Step-by-step explanation:

The sequence of transformations that will map figure Q onto figure Q′ : 'Translation of (x, y + 2), reflection over y = 1, and 180° rotation about the origin.'

The correct answer is option (D)

What is translation?

"It is a geometric transformation in which the displacement of a figure from one place to another."

What is reflection?

"It is a geometric transformation where all the points of an object are reflected on the line of reflection."

What is rotation?

"It is a transformation in which the object is rotated about a fixed point."

For given question,

Quadrilateral Q with coordinates (-9, 2) ,(-6, 4) ,(- 4, 4) , and (-2, 2) Quadrilateral Q' with coordinates (2, 2), (4, 4), (6, 4), and (9, 2)

Consider a point (-4, 4) of quadrilateral Q.                                                              If we reflect Q over x = 1, then it would push the x coordinate of (-4, 4) to new x value 5 units to the right of x = 1, which is x = 6, and 180 rotation would make x = -6                                                                  But x = -6 is not in Q' .                                                                            So it must be reflection over y = 1.Consider the transformations at option C,                                        First translate to (x, y - 2)                                                                      So, the translation of (-4,4) becomes (-4, 2), reflection over y = 1 gives (-4, 4), and 180° rotation about origin gives      (4, -4)  which is not the coordinate of  Q'Now, consider the translation of (x, y + 2)                                          So, the translation of (-4, 4) becomes (-4, 6), reflection over y = 1 gives (-4, -4), and 180° rotation about origin gives      (4, 4) which is the coordinate of Q'

Therefore, the sequence of transformations that will map figure Q onto figure Q′ : 'Translation of (x, y + 2), reflection over y = 1, and 180° rotation about the origin'

The correct answer is option (D)

Learn more about geometric transformations here:

https://brainly.com/question/15577335

#SPJ2

easy multiple choice!

Answers

Answer:

-4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

4x + 5y = -12

-2x + 3y = -16

Step 2: Rewrite Systems

-2x + 3y = -16

Multiply everything by 2:                    -4x + 6y = -32

Step 3: Redefine Systems

4x + 5y = -12

-4x + 6y = -32

Step 4: Solve for y

Elimination

Combine 2 equations:                    11y = -44Divide 17 on both sides:                  y = -4

Answer:

-4

Step-by-step explanation:

Have a great day, my dudes!

I’ll mark you brainlist I’ll mark you brainlist

Answers

Answer:

Would be the approx 17.55 or 12p

Step-by-step explanation:

Mark me brainliest because you promised it and have a splended day ( ^ :

The slope is 2/1 or just 2 and usually the slope is also known as rate of change so the answer should be 2

. A man has the choice of running either a host-snack stall or an ice-cream stall at a sea side resort during the summer season. If it is a fairly cool summer, he should make Rs. 5000 by running the hot-snack stall, but if the summer is quite hot, he can only expect to make Rs. 1000. On the other hand, if he operates the ice-cream stall, his profit is estimated at Rs. 6500, if the summer is hot, but only Rs. 1000 if it is cool. There is a 40 per cent chance of the summer being hot. Should he opt for running the hot-snack stall or the ice-cream stall. Give mathematical argument.

Answers

Answer:

The investment cost from ice cream is significantly smaller than the hot dog shop, the man could perhaps opt for something like a hot dog stall.

Step-by-step explanation:

The given values are:

Percentage of being hot summer,

= 40%  

i.e,

= 0.4

So that,

The percentage of being cold,

= 1 - 0.4

= 60%

Now,

From hot dog, the expected profit will be:

⇒ [tex]5000\times P(cold \ summer) + 1000\times P(hot \ summer)[/tex]

On putting the values, we get

⇒ [tex]5000\times 0.6+1000\times 0.4[/tex]

⇒ [tex]3400[/tex]

From ice-cream stall, the profit will be:

⇒ [tex]6500\times P(hot \ summer)+1000\times P(cold \ summer)[/tex]

On putting the values, we get

⇒ [tex]6500\times 0.4+1000\times 0.6[/tex]

⇒ [tex]3200[/tex]

So the above is the right response.

Actual distance between two places is 130 miles. The scale of the map is
1 in:100 miles. What is the distance between these two places in the map?

Answers

Answer:

1.3 inches

Step-by-step explanation:

1. Determine what you already know in order to set up the equation:

1 inch = 100 miles

x inches = 130 miles

Solving for x

2. Set up the equation so both numerators are the same unit (In this case, both numerators are the mile values and both denominators are the inch values.)

[tex]\frac{100}{1}[/tex] = [tex]\frac{130}{x}[/tex]

3. Cross multiply (Multiply the first fraction's numerator by the second fraction's denominator, and vice versa. It doesn't matter which number is on which side of the = sign.)

100x = 130

4. Divide each side by 100 to isolate the variable.

x = 1.3

14.
Geographers keep track of how many people live in different areas of the world. They are
especially interested in how the populations of certain area change. The table below shows
the population of different regions in 1985 and in 2005.
Place
Earth
China
India
United States
Population
1985
2005
4.9 x 10
6.4 x 109
1.1 x 10° 1.3 x 10°
7.6 x108 1.1 x 10°
2.4 x108 3.0 x108
9. In 2005, how many times greater than China's population is the population of the world?
10. How many more people inhabited Earth in 2005 than in 1985?
15.

Answers

Answer:

`15

Step-by-step explanation:

Name:
BARALAR
Index No asuelon
25. The average of 5 girls is 21 years. If the age of one of them is 8 years
calculate the average age of the remaining girls.​

Answers

Answer:

24.25 years

Step-by-step explanation:

We know that average of a set = (sum of all terms) / (number of terms). Right now, we know two things: the average of the set (21 years) and the number of terms in the set (5). Therefore, we can rewrite the equation to solve for the sum of all terms.

We have: 21 = [tex]\frac{sum}{5}[/tex]

sum = 21 · 5 = 105

Now we know the sum of ages of the 5 girls. We want to find the average age of the 4 remaining girls when we take out the girl who is 8 years old. As previously stated, to find the average of a set, we need to know two things: the sum of all terms in the set and the number of terms in the set. Right now, we only know one of those things: the number of terms in the set, which is 4. To find the sum, we can simply subtract the 8-year-old girl's age from the sum of ages of the 5 girls, which would be 105 - 8 = 97.

Therefore, the average age of the 4 remaining girls is [tex]\frac{97}{4} = 24.25[/tex] years.

Hope this helps!

Answer:

24.25

Step-by-step explanation:

Since the average of 5 girls is 21, there total age is 105 (21*5)

If one of them is 8, 105-8 is 97 and 97/4 (because there is 4 girls left) is 24.25

Hope this helps you!

Please help! I think of a number, I double it, and then add 3. The result is 19. Write this in the form of an equation and then solve the equation to find the number I was thinking of.

Answers

Answer:

8

Step-by-step explanation:

Y×2+3=19

19-3=16

16÷2=8

You subtract the 3 first to get what the number was when doubled. After getting that number you would divide it by 2 to get the number that you thought of.

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