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

pls pls pls pls help

Answers

Answer:

the answer is option A

Step-by-step explanation:

Which number is rational?

Answers

Answer:

D

Step-by-step explanation:

0.333... is rational because it can be lined up to the fraction 1/3.

Answer:

D.

Step-by-step explanation:

The definition of a rational number is a number that can be expressed as the ratio of two integers.

We cannot represent pi as a ratio of two integers, so it cannot be A. Apply the same definition and B and C are out.

We know that 0.333... = 1/3. This number can be represented as the ratio of two integers, so this is the correct answer.

I hope this helps!


Which of the following is a random sample?

Answers

Answer:

A.

Step-by-step explanation:

A. City voters were asked about candidates. That seems to be random.

B. A survey about singers took place at a specific concert. Naturally, the people who are there like this singer. It is not random.

C. Customers were asked about food at a pizza shop. Naturally, they like pizza. This is not random.

D.  An email survey was sent. Mostly people who own computers will respond. This is not random.

Answer: A.

A parabola has a vertex at (-1,0) and opens down. What is the equation of the parabola?

Answers

Answer:

y = - (x + 1)²

Step-by-step explanation:

Vertex form of a parabola is given by,

y = -(x - h)² + k

Where (h, k) is the ordered pair representing vertex.

(-) sign denotes that the parabola is opening downwards.

If the coordinates of the given parabola is (-1, 0)

Equation of the parabola will be,

y = - (x + 1)² + 0

y = - (x + 1)²

Therefore, equation of the parabola will be, y = - (x + 1)²


If the air temperature is −14°F, how many degrees must it rise to reach 0°F?

Answers

Answer:

14°

Step-by-step explanation:

→Since the temperature is a negative number, for the degree to reach 0, you must add with the same number.

→The temperature is -14, so to get it to 0, you add 14:

-14 + 14 = 0

Answer: 14 degrees

Step-by-step explanation:

-14 + x = 0

hi answer for this please

Answers

Answer:

49 cubed

Step-by-step explanation:

6287-6238

ANSWER: 49 cubed!

Answer:

49 m³

Step-by-step explanation:

Volume used between August and November = 6287 - 6238

= 49 m³


An equation of the circle whose center is the origin and
which passes through the point (3,0) is
A (x – 3)2 + y2 = 9
B (x – 3)2 + y2 = 3
© x2 + y2 = 9
O x + y2 = 3

Answers

Answer:

[tex]\fbox{\begin{minipage}{10em}Option C is correct\end{minipage}}[/tex]

Explanation:

A circle whose center is [tex](a, b)[/tex] and radius [tex]r[/tex], has equation:

[tex](x - a)^{2} + (y - b)^{2} = r^{2}[/tex]

The center of circle is  given as origin [tex](0, 0)[/tex], therefore:

[tex]a = 0\\b = 0[/tex]

This circle passes [tex](3, 0)[/tex], then the radius of circle is the distance [tex](d)[/tex] between origin [tex](0, 0)[/tex] and [tex](3, 0)[/tex]

[tex]d = \sqrt{(0 - 3)^{2} + (0 - 0)^{2} } = \sqrt{3^{2} } = 3[/tex]

=> [tex]r = d = 3[/tex]

Substitute [tex]a[/tex], [tex]b[/tex], and [tex]r[/tex] back into original equation:

[tex](x - 0)^{2} + (y - 0)^{2} = 3^{2}[/tex]

or

[tex]x^{2} + y^{2} = 9[/tex]

Hope this helps!

:)

I need some help on these two questions.

Answers

Answer:

see explanation

Step-by-step explanation:

The length of the arcs are calculated as

arc = circumference of circle × fraction of circle

(13)

arc = 2πr ×[tex]\frac{72}{360}[/tex]

      = 2π × 25 × [tex]\frac{1}{5}[/tex] = 10π units

(14)

arc = 2π × 2 × [tex]\frac{270}{360}[/tex]

      = 4π × [tex]\frac{3}{4}[/tex] = 3π units

What do I do that will help me remember what I should do for problems like this

Answers

The question asks just for the interest so i think we just multiply the $8 by 12months
Which will give us 96

IS MY ANSWER CORRECT?!

-- I'm thinking it's 36 If its wrong. --

Answers

Answer:

you have the right answer

Step-by-step explanation:

you can check by multiplying 27 and 12. then multiply 20.25 with 16 and both times you will get 324

Answer:

I am sure you're answer is correct!

Step-by-step explanation:

:)

Solve for x.

x/3 ≤ −6



x≤−18
x≤−2
x≥−18
x≥−2

Answers

Answer:

-The value of [tex]x[/tex]:

[tex]x \leq -18[/tex]

Step-by-step explanation:

-Solve the inequality for [tex]x[/tex]:

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

-Multiply both sides by the denominator, which [tex]3[/tex]:

[tex]3 \times \frac{x}{3} \leq -6 \times 3[/tex]

[tex]x \leq -18[/tex]

So, the final answer would be [tex]x \leq -18[/tex].

Answer:

[tex]x \leqslant - 18[/tex]

First answer is correct

Step-by-step explanation:

[tex] \: \: \: \: \: \: \: \: \frac{x}{3} \leqslant - 6 \\ 3 \times \frac{x}{3} \leqslant - 6 \times 3 \\ = \: \: \: x \leqslant - 18[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Pointssss
Emma purchased a refrigerator for $1,450. It depreciates about 0.8% each year. What is the
value of the refrigerator after five years?

Answers

Answer:

This might be the answer not sure

Step-by-step explanation:

if it goes down 0.8 % every year it would be 1392

this is what I did 1,450−0.8%−0.8%−0.8%−0.8%

−0.8% I did -0.8% for every year i did 5 times for 5 years

so that the value but if u want the really accurate one then the answer is 1,392.9206056485 i hate myself for doing that but yeah thats it

PLZ HELP NO WORK NEEDED JUST GIVE ME A PROPER ANSWER!

Answers

Answer:

incorrect: y= -1.5x

correct: The slope is 3.

HOPE I HELPED!!!

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(9-7)/(-6-(-2))

m=2/-4

m=-1/2

Which of the lines below is a line of symmetry?
A. Neither
B. Red
C. Yellow
D. Both

Answers

Answer:

d, both

Step-by-step explanation:

both separe two identical halves :)

Both yellow and red lines are lines of symmetry to the given figure, Option D is correct.

What is Coordinate System?

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

A line of symmetry is the line that divides a shape or an object into two equal and symmetrical parts.

We know that the diameter of a circle is a line passing through its center. So, the diameter acts as a line of symmetry dividing the circle into two parts with equal area.

In the given figure both the lines represents symmetry as both the lines are dividing the figure to two equal parts.

Hence, both yellow and red lines are lines of symmetry to the given figure, Option D is correct.

To learn more on Coordinate system click:

https://brainly.com/question/30241634

#SPJ5

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

Hey anybody help out this difficult in my opinion

Answers

Answer:

Just describe what you see.

Step-by-step explanation:

- For the first one you are dividing 4/3 by 4/3, so you would write something like Karen is dividing  4/3 by 4/3.

- For the second description say something like Karen multiplied and simplified   3/4 x 4/3 and when you do that you get 1.

(what you teacher is making you do is seriously complicated for no reason)

Which expression does not represent "the sum of n and 6"? n + 6 6 n 6 + n

Answers

Answer:

Step-by-step explanation:

6n because 6n it's 6 times n

______________________________

Hey!!

Answer: 6n

6n does not represent "the sum of n and 6"

6n represents "the product of n and 6"

Hope it helps..

Good luck on your assignment

___________________________

Urgent need help fast

Answers

Answer:

500

Step-by-step explanation:

400 + 100 = 500

Answer:

500

Step-by-step explanation:

Ronald's number + 100 = Jasmine's number

400 + 100 = 500

Find the volume of this solid

Answers

Answer:

[tex]997.66ft^3[/tex]

Step-by-step explanation:

[tex]V=\frac{3\sqrt{3} }{2} a^2h\\=\frac{3*\sqrt{3} }{2} *4^2*24\\=997.66ft^3[/tex]

Find the coordinates of the midpoint of the segment in the picture
above.
O a. (-.5, 3)
o b. (-3.5, -2)
O C. (-4.5, -1)
O d. (-7,-4)​

Answers

the answer is B (-3.5, -2)

the diameter of a circle is 9m. Find the circumference to the nearest tenth (urgent)

Answers

Answer:

Step-by-step explanation:

The answer is 28.27433, or 28.3!

Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter: 392 meters

Answers

Answer:

the length is 98 meters and the width 98 meterss

Step-by-step explanation:

We have that the length is l and the width is w, we know that:

P = 2 * w + 2 * l

if we solve for it, we have:

l = P / 2 - w

Now, we know that the area is:

A = l * w

if we replace l, we are left with:

A = (P / 2 - w) * w

A = P * w / 2 - w ^ 2

we derive to know the maximum area and we equal 0 and we have:

A '= P / 2 - 2 * w

0 = P / 2 - 2 * w

w = P / 4

now for him:

l = P / 2 - P / 4

l = P / 4

Therefore, if we replace:

l = 392/4 = 98

w = 392/4 = 98

For the maximum area the length is 98 meters and the width 98 meterss

using graphing paper,determine the line described by the given point and slope
click to show the correct graph below (0,6) and -1​

Answers

Answer:

-3, -2

count the lines based on the x-axis and y-axis

remember that the x-axis comes before the y-axis

please mark me as brainliest :)

Answer:Answer:

-3, -2

count the lines based on the x-axis and y-axis

remember that the x-axis comes before the y-axis

please mark me as brainliest :)

Step-by-step explanation:

What is the measurement of angle A to the nearest degree?

Answers

Answer:

A = 51 degrees

Step-by-step explanation:

We can use the law of sines

sin A          sin 95

------------ = -----------

7                   9

Using cross products

9 sin A = 7 sin 95

Divide each side by 9

sin A = 7/9 sin 95

Take the inverse of each side

sin ^-1 sin A = sin ^-1 ( 7/9 sin 95)

A = 50.78854367

To the nearest degree

A = 51 degrees

The graph below shows the average daily temperatures on January 1 from 1900 to 1934 for city A. A graph shows the average daily temperature on the x-axis, and number of years on the y-axis, from 1 to 4. The average temperature was 18 for 2 years; 19 for 3 years; 20 for 2 years; 21 for 3 years; 22 for 2 years; 23 for 4 years; 24 for 3 years; 25 for 3 years; 26 for 5 years; 27 for 2 years; 28 for 1 year; 29 for 2 years; 30 for 2 years; 31 for 1 year. The mean of the temperatures in the chart is 24° with a standard deviation of 4°. Which temperature is within one standard deviation of the mean? 18° 19° 22° 30°

Answers

The temperature which is within one standard deviation of the mean is 22 degree Celsius of the graph of average daily temperatures.

What is the mean and standard deviation of data?

The mean of the data is the average value of the given data.The standard deviation of the data is the half of the difference of the highest value and mean of the data set.

The graph below in the attached image shows the average daily temperatures on January 1 from 1900 to 1934 for city A.

A graph shows the average daily temperature on the x-axis, and number of years on the y-axis, from 1 to 4.

Interval within 1 standard deviation of the mean when the mean is μ and standard deviation σ can be given as,

[tex][\mu-\sigma, \mu+\sigma][/tex]

The mean of the temperatures in the chart is 24°, with a standard deviation of 4°. Put these values,

[tex][\mu-\sigma, \mu+\sigma]\\\ [24-4, 24+4]\\\ [20, 28][/tex]

The temperatures in the options given will be correct, which lies in the above range.

Thus, the temperature which is within one standard deviation of the mean is 22 degree Celsius of the graph of average daily temperatures.

Learn more about the mean here;

https://brainly.com/question/14532771

Answer:

C

Step-by-step explanation:

Took the quiz got a 100%

Which represents a quadratic function? f(x) = −8x3 − 16x2 − 4x f (x) = three-quarters x 2 + 2x − 5 f(x) = StartFraction 4 Over x squared EndFraction minus StartFraction 2 Over x EndFraction + 1 f(x) = 0x2 − 9x + 7

Answers

Answer:

[tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex]

Step-by-step explanation:

Given

[tex]f(x) = -8x^3 - 16x^2 - 4x\\f(x) = \frac{3}{4}x^2 + 2x - 5\\f(x) = \frac{4}{x^2} - \frac{2}{x} + 1\\f(x) = 0x^2 - 9x + 7[/tex]

Required

Which of the above is a quadratic function

A quadratic function has the following form;

[tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]

So, to get a quadratic function from the list of given options, we simply perform a comparative test of each function with the form of a quadratic function

[tex]1.\ f(x) = -8x^3 - 16x^2 - 4x[/tex]

This is not a quadratic function because it follows the form [tex]f(x) = ax^3 + bx^2 + c[/tex] and this is different from [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]

[tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex]

This function has an exact match with [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]

By comparison; [tex]a = \frac{3}{4}\ b = 2\ and\ c = -5[/tex]

[tex]3.\ f(x) = \frac{4}{x^2} - \frac{2}{x} + 1[/tex]

This is not a quadratic function because it follows the form [tex]f(x) = \frac{a}{x^2} + \frac{b}{x} + c[/tex] and this is different from [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]

[tex]4.\ f(x) = 0x^2 - 9x + 7[/tex]

This is not a quadratic function because it follows the form [tex]f(x) = ax^2 +bx + c = 0\ but\ a = 0[/tex]

Unlike the quadratic function where [tex]a\neq 0[/tex]

So, from the list of given options, only [tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex] satisfies the given condition

i really need this plz plz will mark bianleast
Point S is translated left 8, down 4.
Which is the coordinate pair for the translated point S'?




(8, 4)

(4, –1)

(–8, –4)

(–4, –1)

Answers

(-4, -1). You are just sliding point S left 8 units from 4 to -4, then down 4 units from 3 to -1.

Answer:

(–4, –1)

Step-by-step explanation:

Since, S is translated left 8 and down 4, therefore x and y coordinates would be - 4 and - 1 respectively.

Hence, the coordinate pair for the translated point S' are (–4, –1).

Find the perimeter of the following shape:
A. 10.8
B. 11
C. 11.4
D. 11.6

Answers

Answer:

A: 10.8

Step-by-step explanation:

AD = BC

AB = DC

2AD + 2AB

AD = ±[tex]\sqrt{3^2+1^2}[/tex] ≈ ±3.1622

AD ≈ 3.1622

AB = ±[tex]\sqrt{2^2+1^2}[/tex] ≈ ±2.236

AB ≈ 2.236

2AD + 2AB = 2*3.1622 + 2*2.236 ≈ 10.79 ≈ 10.8

Which of the following points is a solution to y ≤ −2x + 3?
above; y = 2x − 2
below; y = 2x − 2
above; y = −2x + 2
below; y = −2x + 2

Answers

Answer:

d; below; y = −2x + 2

Step-by-step explanation:

the equality  ≤  means left to right that y is equal or less than. We see that 2 is equal or less than 3.

We check the resulting equation also and see that if we +3 it = 1 and if we +2 it equals 0 so we know +2 in answer format can be less than also. But with questions we are measuring the units and +2 is less than +3.

Answer:

B (1,0) hope this helps :)

suppose that g(x) = f (x - 2). which statement best compares the graph of g(x) with the graph of f(x)?

Answers

Answer:

The  graph of G (x) is the graph of f(x) shifted 2 units to the left.

The graph of G (x) is the graph of f(x) shifted 2 units to the left.

Graph:

For any kind of the parent function f(x) the graph of the transformed function should be g(x) = f(x +a)

It is a shift of the parent function f(x) also it should be either to the left or the right based on the value of a.

In the case when a>0 so the shift is 'a' units to the left

and if a<0 so the shift is 'a' units to the right.

Therefore, we can conclude that The graph of G (x) is the graph of f(x) shifted 2 units to the left.

It is an incomplete question. Kindly find the options below.

A. the graph of G(x) is the graph of F(x) shifted 2 units to the right B thr graph of G(x) is the graph​ of F(x) shifted 2 units down C the graph of G(x) is the graph of F(x) shifted 2 units up D the graph of G (x) is the graph of f(x) shifted 2 units to the left

Learn more about graph here: https://brainly.com/question/19661552

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