A 3-gallon jug of water costs $15.12. What is the price per quart?

Answers

Answer 1

Answer:

[tex]\frac{126}{25}[/tex]

Step-by-step explanation:

[tex]\frac{15.12}{3}-- > \frac{1512}{300}-- > \frac{126}{25}[/tex]

1st one is we rewrote the fraction which gave us the second one, the second one, we crossed out the common factor and also simplified. That gave the answer, 126/26.


Related Questions

What is the value of 24 + x ÷ 12 when x = −180?

17
9
−13
−178

If you don't know the answer please do not type random stuff or you'll see what ima do

Answers

The value of the expression 24 + x ÷ 12 when x = −180 is (b) 9

What are expressions?

Expressions are mathematical statements that are represented by variables, coefficients and operators

How to determine the value of the expression?

From the question, we have the following parameters that can be used in our computation:

24 + x ÷ 12

Also, we have the value of the variable to be

x = −180

Substitute the known values in the above equation, so, we have the following representation

24 - 180 ÷ 12

Evaluate the quotient in the above equation

So, we have the following representation

24 - 180 ÷ 12 = 24 - 15

Evaluate the difference in the above equation

So, we have the following representation

24 - 180 ÷ 12 = 9

Hence, the value of the expression is (b) 9

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a vocational counselor wishes to compare the mean scores on a paper-and-pencil test of anxiety for groups of physicians, lawyers, and accountants. the appropriate test is a

Answers

A vocational counselor wishes to compare the mean scores on a paper-and-pencil test of anxiety for groups of physicians, lawyers, and accountants. the appropriate test is a two factor chi Square test.

The Pearson chi-square (χ²) test, often simply called the chi-square test, is one of the most common non-parametric tests. Nonparametric tests are used for data that do not follow the assumptions of parametric tests, especially the assumption of normal distribution.

To test hypotheses about the distribution of a categorical variable, you should use the chi-square test or another non-parametric test. Categorical variables can be nominal or ordinal and represent groups such as species or nationality. They can only have a small number of specific values, so they cannot have a normal distribution.

Bidirectional chi-square is one of several tests of goodness of fit between the actual values ​​of two nominal or ordinal variables and the values ​​expected if the variables were unrelated or independent. Chi-square is also known as Pearson Chi-square and Chi-square test of independence. The symbol for the chi-square test is the lowercase Greek letter chi (χ) with a superscript 2, such as χ2. χ2 is a test of significance and should be accompanied by an appropriate test of strength. The strength test should be chosen based on the number of rows and columns in the table of observations. In particular, one of the most commonly used strength tests is the π coefficient.

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A sporting goods manager was selling a ski set for a certain price. The manager offered the markdowns shown, making the one-day sale price of the ski set $327. Find the original selling price of the ski set.

Answers

The original selling price of the ski is $385.

How to calculate the price?

From the information, the sporting goods manager was selling a ski set for a certain price. The manager offered the markdowns as 15% making the one-day sale price of the ski set $327.

Let the original selling price of the ski be x.

This will be:

x - (15% × x) = 327

0.85x = 327

Divide

x = 327 / 0.85

x = 385

The original price is $385.

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Complete question

A sporting goods manager was selling a ski set for a certain price. The manager offered the markdowns as 15% making the one-day sale price of the ski set $327. Find the original selling price of the ski set.

Explain how to solve 2^(x + 1) = 9 using the change of base formula log base b of y equals log y over log b. Include the solution for x in your answer. Round your answer to the nearest thousandth

Answers

The solution of the given expression is equal to 2.17.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is [tex]2^{x+1} = 9[/tex]. The expression will be solved by using the logarithmic property below,

[tex]2^{x+1}=9[/tex]

Take logs on both sides,

(x+1) ln(2) = ln(9)

(x+1) = ln(9) / ln(2)

x + 1 = 3.17

x = 2.17

Hence, the expression will be solved by taking log on both sides.

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1. Simplify the following expressions:
10
a. 2¹⁰.2
-4

Answers

Answer:1020.2

Step-by-step explanation:

find all missing sides 30 , 45, 45

Answers

The missing side is 90 when all the other side are 30, 45 and 45.

Describe quadrilateral.

A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees. A closed, two-dimensional figure with four sides, four angles, and four vertices is called a quadrilateral. Square, rectangle, and trapezium are a few examples of quadrilaterals. A quadrilateral is a four-sided polygon with four edges and four corners that is used in geometry. The Latin words quadri, a variation of four, and latus, meaning "side," are the source of the name.

Given

Sides 30, 45 and 45

As we know sum of quadrilateral is 180

Let other side be x.

30 + 45 + 45 + x = 180

90 + x = 180

x = 180 - 90

x = 90

The missing side is 90 when all the other side are 30, 45 and 45.

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find the slope of the line that passes Through the points (2.5, 1) and (1,-3.5)

Answers

Answer:

3

Step-by-step explanation:

slope m = (y - y1)/(x - x1)

m = (-3.5 - 1)/(1 - 2.5) = (-4.5)/(-1.5) = 3

dr. ba is interested in whether joining a fraternity/sorority causes people to become more concerned about their attractiveness. she recruits a group of 55 freshmen (25 men, 30 women) who are planning to go through fraternity/sorority recruitment on her campus. after they join, she gives them a measure of attractiveness concern (the body concern scale). in addition to measuring the body concern of the participants who joined a fraternity/sorority both immediately before and immediately after they join, dr. ba measures them for the three weeks before and the three weeks after. this type of design is known as a(n)

Answers

Her study could be generalized to:

Students in fraternities/sororities.

What is sampling?

Sampling is a technique for when a group of elements from a population is taken to represent the entire population.

This group of elements has to be representative of the entire population, as to lead to correct conclusions, and thus the information gathered from the sample could be generalized to the entire population.

The sample and the population for this problem are identified as follows:

Sample: 55 students in fraternity/sorority.Population: All students in fraternity/sorority, as the sample is composed only by students in fraternity/sorority.

Considering the population, the study can be generalized only for students in fraternity/sorority, meaning that the second option is correct.

Missing Information

The complete problem is given by the image shown at the end of the answer.

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Simplify 4x - 7 + 12x - 3.

Answers

Answer:2(8x-5)

Hope this helps!

4x - 7 + 12x -3 simplified = 16x - 10


Rectangle ABCD is dilated with a center at (0, 0) and a scale factor of 1. What is the perimeter of the dilated rectangle? Enter the answer as a whole number in the box.
units

Answers

Answer:

  12 units

Step-by-step explanation:

You want to know the perimeter of rectangle ABCD after it has been dilated by a factor of 1.

Perimeter

The original rectangle ABCD has a perimeter of ...

  P = 2(L +W) = 2(4 +2) = 12

The perimeter of the dilated rectangle is the original perimeter multiplied by the dilation factor:

  P' = 12·1 = 12

The dilated rectangle has a perimeter of 12 units.

__

Additional comment

Dilation by a factor of 1 changes nothing at all. The center of dilation is irrelevant.

Help me pls pls I been stuck om this question for 5 hours now help me pls

Answers

The volume of the tunnel is 225.476cm³

How to find volume of objects?

We should know that the volume of an object entails the quantity of things it can hold at a particular time.

The volume of the tunnel = Volume of semi circle + volume of the rectangle

This is given by

V=3/4[tex]\frac{4}{3} \pi r^{3}[/tex] + lbh

volume of the tunnel = 4/3*3.142*(5/2)³ + 4*5*8

Simplifying the expression

(65.476 + 160)cm³

Volume = 225.476cm³

Given that the car exhaust  at 10m³

226cm = 2.26m

Note that 60 seconds = 1 Minute

Therefore 10*2.26=22.6m

=22.6/60 = 3 hours,  46 mins and 2 seconds.

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Can you help me please???


Which expressions are equivalent to (3w - 4x)4? Select TWO correct responses.

A. 4(-1wx)
B. 12 w -16 x
C. 7w -8x
D. -16 x +12w

Pick 2

Answers

B and D, 12 w - 16 x

A taxi company charges $1.00 for a ride, and an additional $0.30 for each mile traveled. Write the equation that describes the relationship between the number of miles M and the total cost of each ride C.

Answers

Answer:

C = 0.30m + 1.00

Answer:

C= $1,00 +(M×$0,30)=$1.00+$.30M

Step-by-step explanation:

question 6, i need help on )):

Answers

Answer:

look up a loan calculator also you need to give the amount of money borrowed

What i cot of tiling a rectangular plot of land 500m long and 200m wide at the rate r 8 per q m

Answers

The cost of tilling a rectangular plot of land 500m long and 200m wide at the rate of rs 8 per sq m is Rs. 8,00,000.

Area of rectangle = length × breadth

Area of rectangular plot = 500× 200 = 1,00,000 sq m

Cost of tilling 1 sq m of land = Rs. 8

Cost of tilling 1,00,000 sq m of land = 8 × 1,00,000 = Rs. 8,00,000

Thus, The cost of tilling a rectangular plot of land 500m long and 200m wide at the rate of rs 8 per sq m is Rs. 8,00,000.

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3. In the figure below, lines m and n are parallel.
Find the value of x.
y+9=6x+7
(6x + 7)
65°
(y + 9)⁰
n
m

Answers

Answer: x=



Step-by-step explanation:

Answer:

y/6 + 1/3

i hope this helps

2x+3forx=3
show work

Answers

Answer:

9

just sub value of x into the equation

(2x3)+3

6+3

9

2x + 3
2(3) + 3
6 + 3 = 9

Find the y intercept y = – 17 x + 12.

Answers

Answer: 12

Step-by-step explanation:

The y-intercept in the equation that is in slope-intercept form is the constant.

If Santa Claus ate two cookies from every child on Earth, how many cookies would he eat over one Christmas Eve?

Answers

Answer:

three billion eight hundred million

Step-by-step explanation:

11. Engineering The maximum load for a certain elevator is 2000 pounds. The total
weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs
243 pounds enters the elevator with a crate of weight w. Write, solve, and graph an
inequality to show the values of w that will not exceed the weight limit of the elevator.

Answers

The inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

What is inequality?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.An inequality is a mathematical relationship between two expressions and is represented using one of the following -

        : less than or equal to

        : greater than or equal to

        < : less than

        > : greater than

        : not equal to

Given is the maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight [w].

We can write the inequality as follows -

        1400 + 243 + w ≤ 2000

        w + 1643 ≤ 2000

Solving the inequality, we get -

        w + 1643 ≤ 2000

        w ≤ 2000 - 1643

        w ≤ 357

Refer to the graph attached.

Therefore, the inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

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In ΔLMN, \overline{LN}

LN

is extended through point N to point O, \text{m}\angle MNO = (5x+2)^{\circ}m∠MNO=(5x+2)



, \text{m}\angle NLM = (x+10)^{\circ}m∠NLM=(x+10)



, and \text{m}\angle LMN = (x+16)^{\circ}m∠LMN=(x+16)



. What is the value of x?x?

Answers

The missing value of x of the triangle is; x = 8

How to find the missing angle in the triangle?

Given a triangle ΔLMN;

Line LN is extended to point O.

such that:

m∠MNO = (5x + 2)°

m∠NLM = (x + 10)°

Let us recall the external angle property of a triangle:

This property states that the external angle of a triangle is equal to the sum of two opposite internal angles.

Thus;

∠MNO = ∠NLM + ∠LMN

Plugging in the relevant values gives us;

(5x + 2) = (x + 10) + (x + 16)

5x + 2 = 2x + 26

5x - 2x = 26 - 2

3x = 24

x = 24/3

x = 8

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Please help me !!!??

Answers

Answer:

I think it's 100.8

Step-by-step explanation:

I'm pretty sure

Answer: 100.8666666666667 (rounded to the nearest hundredth: 100.87)

When Lisa increased her speed in letter c,
the increase took two seconds. What was her acceleration?

Answers

Lisa's change in speed is 4 miles per hour.Lisa's acceleration is 2 miles per hour.

What was her acceleration?

According to the question,

The speed of Lisa is = 3 miles per hour

A dog starts to chase her, and she  speeds up to seven miles per hour.

The change in speed after dog chase her is,

= 7 miles per hour - 3 miles per hour

= 4 miles per hour

Lisa's change in speed is 4 miles per hour.

When Lisa increased her speed in letter c,  the increase took two seconds.

Then,

The Lisa acceleration is,

Acceleration = Change in speed/Change in time

Acceleration = 4/2

Acceleration = 2 per mail.

Hence, Lisa's acceleration is 2 miles per hour.

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One of the tallest ferris wheels in the world is in las vegas. It has a diameter, , of 520 feet. The circumference of the ferris wheel represents the distance traveled by a passenger after one full rotation. The circumference can be determined using the expression. What is the distance traveled, in feet, by passengers on each rotation of the ferris wheel? record your answer to the nearest tenth of a foot.

Answers

Answer:

Below

Step-by-step explanation:

Circumference of a circle = pi * diameter

                             circumference of ferris wheel = 3.14159 * 520=1633.6 ft

1. 5x - 8 < 17
It needs to be graphed on a number line.

Answers

Answer: x < 5

What does this mean?

This simply means that any point that is five or below is going to be outlined.

How do I do it?

It's as simple as drawing a point at value 5, and everything below is going to contain a line.

Representation

-----------------------------------------------o

What is an equation of a line that passes through the points (1, 4) and (2, 9) in
5)
point-slope form? Analyze the steps and fill in the blanks. (4pts)
First, use the two given points to find the slope.
m=
Уг-У1

Use the slope and one point to write an equation of the line in
point-slope form.
Point-slope form of a linear equation.
Substitute

Answers

The equation of line in point-slope form of the line, is y = 5x - 1.

What is point - slope form of the line?

The general form of a linear equation is y - y1 = m(x - x1).

It draws attention to the line's slope and one of the line's points (that is not the y-intercept).

Given:

The line passes through the points (1, 4) and (2, 9).

We have to find the equation of line in point - slope form.

First to find the slope from the given points.

Since,

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Here, [tex](x_1, y_1) = (1, 4), (x_2, y_2) = (2, 9)[/tex]

So, [tex]m = \frac{9-4}{2-1} = 5[/tex]

Now consider, the point slope form of the line

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

Plug [tex]m = 5, (x_1, y_1) = (1, 4)[/tex]

[tex]y - 4=5(x-1)\\y-4=5x-5\\y=5x-5+4\\y=5x-1[/tex]

Hence, the equation of line in point-slope form of the line, is y = 5x - 1.

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What is the value of y in the equation?
6y + 2 = 4p - 10

Answers

Move constant = change signs

6y=4p-10-2

Calculate difference

6y=4p-12

Divide

Solution

Y=2/3 p -2

suppose a juice box contains 30% juice with the remaining portion of the drink composed of water. what is the solute in this type of juice box?

Answers

Suppose a juice box contains 30% juice with the remaining portion of the drink composed of water alcohol is the solute in this type of juice box.

Ethanol; Ethanol, a drab liquid with a pleasing scent this is produced evidently from fermentation through yeasts and different microorganisms. It is utilized in alcoholic beverages, as a solvent, and withinside the manufacture of different chemicals. Ethanol is a fairly poisonous and colorless compound.

Alcohol is the solute in this type of juice box is the solvent as alcohol is easily soluble as the solvent and has best property of a solute and csn pass through the semipermeable permeability and others solvent also. The alcohol is actually acting as the solute here to dissolve the solvent.

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Two angles are complementary. The measure of the larger angle is 26 degrees less than 3 times the measure of the smaller angle. The measure of the smaller angle is ________ degrees, and the larger angle is ________ degrees.

Answers

Answer:

29, 61

Step-by-step explanation:

x = smaller

y = larger

y = 3x - 26

x + y = 90

x + 3x - 26 = 90

4x - 26 = 90

4x = 116

x = 29

x + y = 90

29 + y = 90

y = 90 - 29

y = 61

Answer:

smaller angle = 29°

larger angle = 61°

Step-by-step explanation:

Let x be the larger angle and y be the smaller angle

Larger angle is 26° less than 3 times the smaller angle

i. e x = 3y-26°

Since x and y are complementary angles, we can write,

x + y = 90°

or, (3y - 26°) + y = 90°

or, 4y = 90° + 26°

or, y = 116°/4

or, y = 29°

So,

x = 3 * 29° - 26° = 61°

__% of 4 is 7, someone please help I’m very stuck

Answers

The equation is x/25 = 7. The value of x is 175. 175% of 4 is 7.

What is an equation?

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Assume that x% of 4 is 7.

Now write the statement "x% of 4" in mathematically:

x% of 4

= x% × 4           [ of meaning is times]

Now replace % sign by 1/100

= x × (1/100) × 4

= x × (1/25)        [cancel out 4 from denominator and numerator]

= x/25

The equation that represents x% of 4 is 7 is:

x/25 = 7

Multiply both sides by 25:

x = 7 × 25

x = 175

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