Dominique is buying water. She needs 2 liters. A​ half-liter of water costs ​$2.46. A 250​-milliliter container of water costs ​$1.48. What should Dominique buy so she gets 2 liters at the lowest​ price? Explain.

Answers

Answer 1

Answer:

[tex]\fbox{\begin{minipage}{15em}A half-liter of water costs 2.46$\end{minipage}}[/tex]

Step-by-step explanation:

Dominique wants to buy [tex]2[/tex] liters of water.

Case 1:

A half-liter of water costs [tex]2.46[/tex].

The [tex]2[/tex] half-liters is [tex]1[/tex] liter => The cost of a liter of water ([tex]A[/tex]) is calculated by multiply  the cost of [tex]1[/tex] half-liter by [tex]2[/tex]:

[tex]A = 2.46[/tex] x [tex]2[/tex] = [tex]4.92[/tex]

=> The cost of two liters: [tex]A_{1}[/tex] = [tex]A[/tex] x [tex]2[/tex] = [tex]4.92[/tex] x [tex]2[/tex] = [tex]9.84[/tex] $

Case 2:

A quarter-liter of water costs [tex]1.48[/tex].

The 4 quarter-liters is [tex]1[/tex] liter => The cost of a liter of water ([tex]B[/tex]) is calculated by multiply the cost of [tex]1[/tex] quarter-liter by [tex]4[/tex]:

[tex]B = 1.48[/tex] x [tex]4[/tex] = [tex]5.92[/tex]

=> The cost of two liters: [tex]B_{1} = 5.92[/tex] x [tex]2[/tex] = [tex]11.84[/tex] $

Compare [tex]A_{1}[/tex] and [tex]B_{1}[/tex], the cost of second buying method is more expensive.

=> She should buy the water, in which a​ half-liter of water costs ​$[tex]2.46[/tex]

Hope this helps!

:)


Related Questions

PLz help right answers only will give brainliest!!!!

Answers

Answer:

-48

Step-by-step explanation:

First You put The question in Order

HOPE THIS HELP

STAY SAFE:)

The answer for this question is D

The triangular park shown below is going to be surrounded by a fence the dimensions of the park are given in feet. How many feet of fencing will be needed to surround the entire park

Answers

Answer:

its 65

Step-by-step explanation:

Find the slope of the line. please. help.

Answers

Answer:  the slope is up 1 and to the right 2, or if your going the opposite direction it would be down 1 and to the left 2

Answer:

1/2

Step-by-step explanation:

Slope is change in y over change in x.  The change in Y is 2.5 - 1= 1.5 .The change in X is 1 - (-2)= 3 .  Therefore, the slope is 1.5/3 which simplifies to 1/2

lindsey completed a 30 point assignment. she eared 21 points what percent did she earn?

Answers

Answer:

Lindsey got 70% on this assignment.

Step-by-step explanation:

21 divided by 30 equals 0.7 which is 70% in percent form.

Answer:

She earned a seventy percent.

Step-by-step explanation:

You set the problem up like  21/30 = x/100.

Then, you cross multiply and you get 30x=2100.

From there, you divide each side by thirty and then you get x = 70.

And that brings you to 70 percent. Hope this helps!

What is the sum of 3 times a number and 2

Answers

Answer:

3x+2

Step-by-step explanation:

I believe you asked for the equation

1
Lola created circular place mats out of fabric. If the diameter of each place mat measures 15.2
area of each place mat?
A.
181.46 square inches
B.
725.83 square inches
C.
95.5 square inches
D.
47.75 square inches
Reset
Submit

Answers

Answer: 181.46 square inches

Step-by-step explanation:

Area = pi ˣ r squared

Since the radius (half of diameter) is 7.6 inches, then it should equal to 181.46 square inches.

How to check if a binomial is a difference of squares ?

Answers

This I my explanation for this question if it is helpful your welcome

Find the perimeter and area of the rectangle given below. A rectangle ABCD with vertices ​A(2​,4​), ​B(2​,7​), ​C(5​,7​), and ​D(5​,4​).

Answers

Answers:

Perimeter=6 units

Area=0 units ^2

please see the attached picture for full solution

hope it helps

Good luck on your assignment

please ansswer need help sorting these

Answers

The answer is -4.4, -2 1/2, -.5, 1/2, 1.5, 3.8

Explanation:

If we converted all the numbers to decimals it would look like this:

1.5 = 1.5
1/2 = .5
-2 1/5 = -2.5
-.5= -.5
3.8 = 3.8
-4.4 = -4.4

Then you would just arrange them from least to greatest starting with -4.4 and ending with 3.8.

Hope this helps!

Simplify the expression
(C^4/3 x b^1/2)^-3

Answers

Answer:

3 b 11 6

Step-by-step explanation:

3 b 1 2 ⋅ b 4 3

Move  

b 4 3 . 3 ( b 4 3 b 1 2 )

Use the power rule  

a m a n = a m + n

to combine exponents.

3 b 4 3 + 1 2

To write  

4 3

as a fraction with a common denominator, multiply by  

2 2 . 3 b 4 3 ⋅ 2 2 + 12

To write  1 2

as a fraction with a common denominator, multiply by  

3 3 . 3 b4 3 ⋅ 2 2 + 1 2 ⋅ 3 3

Write each expression with a common denominator of  

6

, by multiplying each by an appropriate factor of  

1 .

Tap for more steps...

3 b 4 ⋅ 2 6 +3 6

Combine the numerators over the common denominator.

3 b 4 ⋅ 2 + 3 6

Simplify the numerator.

A circle has a radius of 5 inches. What is the circumference of the circle? Use 3.14 for pi.
185 m
English
Support | Schlogging | PROFPOLICE | Tesale

Answers

Answer:

C =31.4 inches

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

C = 2 * 3.14 * 5

C =31.4 inches

________________________________

Solution,

Radius(r)=5 inches

Circumference of the circle=?

Now,

Circumference of circle= 2 pi r

=2*3.14.5

=31.4 inches.

Hope it helps...

Good luck on your assignment

_______________________________

A serving tray is in the shape of a rectangular prism without a top. The dimensions of the tray are 8 inches by 10 inches by 2 inches. What is the surface area of the tray?
A: 152 square inches
B: 212 square inches
C: 216 square inches
D: 232 square inches

Answers

Answer:

it's a 152

Step-by-step explanation:

The surface area of the rectangular prism is S = 232 inches²

What is the surface area of the prism?

The surface area of the prism is calculated as

The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism

Surface Area of the prism = 2B + ph

The area of the triangular prism is A = ph + ( 1/2 ) bh

Given data ,

A serving tray is in the shape of a rectangular prism without a top.

And , dimensions of the tray are 8 inches by 10 inches by 2 inches.

So , surface area A = 2(80) + 2(16) + 2(20)

A = 160 + 32 + 40

A = 232 square inches

Hence , the surface area is 232 inches²

To learn more about surface area of prism click :

https://brainly.com/question/9183590

#SPJ3

The side length of the cube is 9 inches. Find the volume of the cube.

Answers

_______________________________

Hey!!

Solution,

Length(l)=9 inches

Volume of cube=?

Now,

Volume of cube= (L)^3

=(9)^3

=729 inches^3

Hope it helps...

Good luck on your assignment

_____________________________

Answer:

[tex]729 {in}^{3} [/tex]

Step-by-step explanation:

[tex]volume = whl \\ [/tex]

[tex]v = x \times x \times x \\ = {x}^{3} \\ = {9}^{3} \\ = 9 \times 9 \times 9 \\ = 81 \times 9 \\ =72 9[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Write the equation of the line with the following characteristics.

a)Parallel to y=7x+2 through the point (0,0)

b)Slope of 2 through the point (0,−3)

c)A horizontal line through the point (0,3)

d)A vertical line through the point (−2,0)

PLZZZZ HELP VERY URGENT

Answers

Answer:

y = 7x

y = 2x -3

y = 3

x = -2

Step-by-step explanation:

Slope-intercept form: y= mx+bParallel lines have same slope

a)Parallel to y=7x+2 through the point (0,0)

This line will have a form:

y= 7x + b

Considering the given point of (0,0), to find the value of b:

0= 7*0+b ⇒ b =0

The line is:

y = 7x

b)Slope of 2 through the point (0,−3)

Solving as above:

y= 2x + b-3 = 2*0 + b ⇒ b = -3y = 2x -3

c)A horizontal line through the point (0,3)

A horizontal line will have constant value for y for any value of x:

y = 3

d)A vertical line through the point (−2,0)

A vertical line will have constant value of x for any value of y:

x= -2

Mariam is putting a shed in her garden and needs to build the
base
The shed has a rectangular base so the base will need to be a
rectangular prism.
The base will need to be 30cm deep, 1.9m long and 1.6m wide.
Calculate the volume of the foundations in m'
Concrete is a mix of different things. Aggregate, cement and wa
The ratio of these is 7:2:1
Calculate the volume of each element required



Answers

Answer:

The volume of the base is 91.2 m^2.

The volume for aggregate, cement, and wa(?) is 63.84 m^2, 18.24 m^2, and 9.12 m^2 respectively.

Step-by-step explanation:

y= 3x+7
y = -2x-3
What would be the x and y for that solution

Answers

Answer:

So if we are solving for x and y. First we need to subtract both equations. We take each equation and put in parenthesis and subtract.

y-y = (3x+7)-(-2x-3) =

0 = 3x+7+2x+3

0 = 5x+10

-10 = 5x

-2 = x.

Now we need to solve for y.

Plug it in for the first equation. -2*3+7 = -6+7 = 1

Test if we are correct and try in the second equation.

-2*-2-3 = 4-3 = 1

x = -2

y = 1

All rectangles are parallelograms. True or False.​

Answers

all rectangles are parallelograms, but only SOME parallelograms are rectangles.

Answer:

I agree

Step-by-step explanation:

Some rectangles aren't parallelograms

Solve for x: x5 − 2 = 18

Answers

x5-2=18

I’m gonna rewrite the equation:

18=5x-2

5*4=20-2

X=4

CAN SOMEONE PLEASE HELP ME OUT PLEASE I WOULD APPRECIATE IT VERY MUCH

Answers

Answer:Decreasing

Step-by-step explanation:

Focus only on the 8-10 interval for x. Note that for x=8 , y=1, for x=9, y=0 and for x=10, y=-1. Y is obviously decreasing for [tex]8<x<10[/tex] .

hhheeeelllllllllllllppppppppp

Answers

Answer:

-3x

Step-by-step explanation:

The term that goes in the box is

x * -3

-3x

Which is the most efficient way to solve this equation?
8=48


Add 8
8 to both sides of the equation.


Divide both sides of the equation by 48



Divide both sides of the equation by 8


Nothing. The equation is already solved




Don't guess please :(

Answers

Divide both sides of the equation by 8

A gym charges $45 per month and a $75 one-time starting fee. Which of these
will show how much it costs to join the gym for one year?

Answers

Answer:

y=45x+75

Step-by-step explanation:

The x represents the months and the one time fee is added

Help me please !!!!!!!!!

Answers

Answer:

756.5 =x

Step-by-step explanation:

To find the perimeter of a rectangle

P = 2 (l+w)

4533 = 2 ( x+3  + 2x-6)

Combine like terms

4533 = 2 ( 3x -3)

Distribute

4533 = 6x -6

Add 6 to each side

4533+6 = 6x

4539 = 6x

Divide by 6

4539/6 =x

756.5 =x

algebra applications: find the value of x and y

Answers

Answer:

x = 10°

y = 35°

Step-by-step explanation:

9x + 20 + 7x = 180 (supplementary angles)

16x = 180 - 20

16x = 160

x = 10°

2y = 7x ( opposite angles)

2y = 70

y = 35°

Solve this inequality.
7x + 2 > 30
A.x 224
B.x > 196
C.x 4
D.x > 3​

Answers

Answer:

x > 4

Step-by-step explanation:

7x + 2 > 30

Subtract 2 from each side

7x + 2-2 > 30-2

7x > 28

Divide each side by 7

7x/7 > 28/7

x > 4

Answer:

it is c

Step-by-step explanation:

A bakery is 10 yards wide and 17 yards long. The baker wants to put a wooden shelf around the inside of the bakery. The wooden shelving costs $10.82 per yard. How much will the baker's shelf cost?

Answers

Answer:

$584.28

Step-by-step explanation:

first, add up the yards around the perimeter of the bakery. 10 + 10 + 17 + 17 = 54. Then, multiply 54 by 10.82 to get the cost of the shelf.

54 x 10.82 = 584.28

14. Compare the graph below to the function

Answers

Answer:

Option (2)

Step-by-step explanation:

Parent function has been given as,

f(x) = [tex]\sqrt{x}[/tex]

When translated by 3 units left,

f(x + 3) = [tex]\sqrt{(x+3)}[/tex]

g(x) = [tex]\sqrt{(x+3)}[/tex]

If the translated function is stretched vertically by a scale factor = k

New function will be,

g'(x) = [tex]k\sqrt{(x+3)}[/tex]

Since a point (1, 4) passes lies on the transformed function.

g'(1) = [tex]k\sqrt{(1+3)}[/tex]

4 = 2k

k = 2

Therefore, transformed function represents the translation by 3 units in the negative side of the x-axis and stretched vertically by 2 units.

Option (2) will be the answer.

To find the height of a pole, a surveyor moves 180 feet away from the base of the pole and then, with his eyes (4 feet above the ground), measures the angle of elevation to the top of the pole to be 44 degrees. Draw a picture and label a diagram to represent this situation. What is the height of the pole? Show your work.

Answers

Answer:

177.82397947 ft

Step-by-step explanation:

to find height of of the pole:

tan(44 degrees)=x/180

add the height of the person

x=(180tan(44 degrees) )+4

x=177.82397947 ft

now, round to what point you need to

Which of the following phrases translates to 8 - m?
the difference between a number and eight
eight decreased by a number
eight subtracted from a number
a number minus eight

Answers

Answer: B) eight decreased by a number

Step-by-step explanation:

decreased = subtraction, therefore, eight decreased by a number is 8 - m.

Write y = 2/3 x+ 7 in standard form using integers.

Answers

Answer:

Step-by-step explanation:

y=2/3 x+7

multiply by 3

3y=2x+21

2x-3y+21=0

or 2x-3y=-21

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