Given that the expression “p dollars for every q items” describes a unit price, which statement must be true?

Answers

Answer 1

The complete question is

"Given that the expression “p dollars for every q items” describes a unit price, which statement must be true?

p = 1

p = q

q = 1

pq = 1"

The statement that must be true would be from option D; pq = 1.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that the expression “p dollars for every q item” describes a unit price,

So, the equation will be formed as

p x q = 1

pq = 1

Hence, the statement that must be true would be from option D; pq = 1.

Learn more about the unitary method;

https://brainly.com/question/23423168

#SPJ1


Related Questions

help please i dont know this

Answers

Answer:

150 yd

Step-by-step explanation:

the angle bisector divides the opposite sides into segments that are proportional to the other 2 sides .

let x be the distance from the oak tree to the hole, then

[tex]\frac{225}{x}[/tex] = [tex]\frac{375}{250}[/tex] ( cross- multiply )

375x = 56250 ( divide both sides by 375 )

x = 150 yd

Work out the equation of line B. Give your answer in the form y = mx + c, where m and care integers or fractions in their simplest forms. Work out the equation of line B. Give your answer in the form y = mx + c , where m and care integers or fractions in their simplest forms .​

Answers

Answer:

y = -3x + 1

Step-by-step explanation:

the line crosses the y-axis at (0,1) then c = 1

The points (0,1) and (1,-2) lie on the line then

m = slope = [(-2)-1]÷(1-0) = [-3]÷(1) = -3÷1 = -3

Therefore,

The equation of the line is : y = -3x + 1

Probability and Two-Way Tables

Answers

Answer:

the answer are A and Y , B and X.

 A and X are two independent events  , Option A is the correct answer.

When is Probability ?

Probability is the likelihood of an event to happen

A two way table is given

The two events will be independent when

If A is the first event and B is the second event , then

P(A) = P(A|B)

Here the P(A) = 30/100 = 0.3

P(B) = 20/100 = 0.2

P(A|X) = 15/50 = 0.3

P(A) = P(A|X)

Therefore A and X are two independent events , Option A is the correct answer.

To know more about Probability

https://brainly.com/question/11234923

#SPJ1

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.

x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.

Answers

The correct representations are - 6x + 15 < 10 - 5x  , An open circle is at 5 and a bold line starts at 5 and is pointing to the right , Option C and E are the right answers.

What is Inequality ?

Inequality are the mathematical statements where algebraic expressions are equated by another algebraic expression or a constant using an Inequality Operator.

The given statement is

–3(2x – 5) < 5(2 – x)

On simplifying can be written as

- 6x + 15 < 10 - 5x

- 6x + 15 < 10 - 5x

- 6x < -5 - 5x

- x < - 5

 x > 5

An open circle is at 5 and a bold line starts at 5 and is pointing to the right .

Therefore Option C and E are the right answers.

To know more about Inequality

https://brainly.com/question/20383699

#SPJ1

A cylindrical barrel of water has a base radius of 30 cm and is 110 cm high.
a) Find it’s volume in cm³.
b) Find it’s capacity in litres
( Hint is 1 cm³= 1 ml )
c) Find the number of bottles of water that can be filled from the barrel if each bottle holds 0.73 litres.

Answers

The volume of the cylinder is in the cubic cm is 311017.67 and in litres is 311.017, and the number of bottle is 426.

What is a cylinder?

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

[tex]\rm V = \pi r^2 h[/tex]

We have:

The radius of the cylindrical barrel r = 30 cm

Height of the cylindrical barrel h = 110 cm

Volume:

[tex]\rm V = \pi (30)^2 (110)[/tex]

V = 311017.67 cubic cm

The volume of litres:

V = 311.017 cubic ml  (1 liter = 1000 cubic cm)

Number of bottles = 311.017 /0.73= 426 bottles

Thus, the volume of the cylinder is in the cubic cm is 311017.67 and in litres is 311.017, and the number of bottle is 426.

Learn more about the cylinder here:

brainly.com/question/3216899

#SPJ1

Josh and Bella picked apples from a tree. Josh had 3 less than 2/3 of Bellas apples. If Josh had 7 apples, how many apples did Bella have?

Answers

Answer:

Bella had 15 apples

Step-by-step explanation:

First, you see that Josh has 3 less than 2/3 of Bellas apples. If Josh has 7 apples you would add 3 to 7 which = 10. Assuming that 10 = 2/3 of Bellas apples, then you would subtract half of 10 and get 5. 1/3 = 5 apples. Lastly, you should do 5 * 3 which = 15. Bella had 15 apples.

On. map with a scale of 1:75 000 the distance between a hotel and the airport is 3 cm

What is the actual distance I'm km?

a. 2.25

b. 2.5

c. 22.5

d. 25 km

please help​

Answers

Answer:

a. 2.25 km

Step-by-step explanation:

the scale on a map means how many units in the mapp corresponds to how many units in reality.

in this case

1 cm on the map = 75000 cm in reality =

= 75000/100 m = 750 m =

= 750/1000 km = 0.75 km

3 cm = 3×1 cm = 3 × 0.75 km = 2.25 km

neeeed helppp asapp

Answers

Answer:

y=3x-1

Step-by-step explanation:

the answer is: y = 3x-1

you use the equation y=mx + b. b is your y intercept. in this question, -1 is your y intercept, because the graph passes the y axis at the point (0, -1).

m is also the slope, which is rise over run. so you go up 3 units and 1 unit to the right, which is 3/1 as your m .

overall, your equation of the line is:
y = 3x - 1

Add.
(−2+6x^3−3x^2)+(4x^3−5+x^2)

Answers

Answer:

10x^3 - 2x^2 -7

Step-by-step explanation:

To subtract polynomials, you want to subtract the biggest exponent from the first polynomial to the second

so 6x^3 + 4x^3 and that would be 10x^3

then -3x^2 + x^2 and the negative is larger so it would be -2x^2

and finally -2 + -5 and that is -7

hope this helps! :)

Ten years ago Victors age WAs half of the age he will be in 10 years how old is he now?

Answers

By solving a linear equation, we will see that Victor is 30 years old.

How old is Victor now?

Let's say that Victor is x years old.

We know that 10 years ago, (x - 10), his age was half of what it will be in 10 years (x + 10).

Then we can write the linear equation:

(x - 10) = (x + 10)/2

Now we can solve that equation for x:

2*(x - 10) = x + 10

2x - 20 = x + 10

2x - x = 10 + 20

x = 30

So we conclude that Victor is 30 years old.

If you want to learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

On a number line, 1.43 would be located ______. Choose all answers that make a true statement.


1.43
《--|----|----|----|----|----|----|----|----|----|--》

A. to the left of 1.41
B. between 1 and 2
C. between 1.42 and 1.44
D. to the right of 1.45 ​

Answers

Answer:

B and C

Step-by-step explanation:

C because it tells you the true statement

Mai bought a wedge with a central angle of 45 degrees and radius 10 centimeters. what is the area of the top surface of this wedge? , 1 of 2. select choice square centimeters

Answers

Using the area of a sector formula, we get the area to be:

[tex]\pi (10)^{2} \left(\frac{45}{360} \right)=\boxed{12.5\pi \text{ cm}^{2}}[/tex]

You are going on vacation with your family to the beach. You already spent $160 on
groceries for the week, and you know that each time you eat out you will spend another
$40. Does The relationship between the number of the Times eating out in the total budget represent a linear function?

Answers

Answer:$440, 9

Step-by-step explanation:

The relationship between the number of the times eating out in the total budget represent a linear function.

What is a linear function?

"A linear functions are those whose graph is a straight line."

Given, I already spent $160 on groceries for the week.

Each time I eat out you will spend another $40.

Let, I eat 'x' times during vacation.

Therefore, the required function will be:

f(x) = 160 + 40x

Hence, the function is a linear function.

Learn more about a linear function here: https://brainly.com/question/21107621

#SPJ3

2x+y=8
y+3z=5
z+2w=1
5w+3x=9

what is x,y,z,w

Answers

Answer:

Systems of equations:

x=3

y=2

z=1

w=0

if x + 3y = 25 write y in terms of x and also find the two solutions of this equation

Answers

Answer:

y= 25/3 - x/3

Step-by-step explanation:

y= 25/3 - x/3

What is the intersection of line CA a and line XA?

Answers

Answer:

point A is the intersection point between XA and AC

What is the sum of 4 + (-6)?

Answers

Answer:

-2

Step-by-step explanation:

4 + (-6) = -2

Answer = -2

Explanation: since your starting with a positive and adding a negative number you just subtract it.

There are 135 people in a sport centre.
73 people use the gym.
59 people use the swimming pool.
31 people use the track.
19 people use the gym and the pool.
9 people use the pool and the track.
16 people use the gym and the track.
4 people use all three facilities.
How many people didn't use any facilities?

Answers

Answer:

200wuwusjjdhsuauuaiajjduwiqisidiwiwia

Answer:

n(U) = n(G)+n(S)+n(T)-n(GnS)-n(GnT)-n(TnS)+n(GnTnS) + n(GnTnS)^c

135= 73+59+31-19-9-16+4+ n(GnTnS)^c

no. of people not using any facility =12

What is the solution of the inequality sh
below?
9+b≤2

Answers

Answer:

b≤-7

Step-by-step explanation:

b+9≤2

Subtract 9 from both sides:

b+9-9≤2-9b≤-7

9+b≤2

subtract 9 on each side which will be -7

the answer will be b≤-7

You’re planning to place an order from an online boutique. Leggings are $12 each and shipping is a flat rate of $5. Write an expression that represents the total cost of your order (not including tax) based on the number of leggings (l) you buy.

Answers

Answer:

For the cost of each legging to be $12, and the shipping of $5, the expression is a straight line C = 12x + 5 where x is the number of leggings.

Step-by-step explanation:

It is given that each legging costs $12. This means that for x number of leggings, the cost will be $12x. Now there is an additional cost of shipping that is $5. So, total cost will be a linear equation and can be written as

C = 12x + 5

This equation represents a straight line like y = mx + c. Here y = C, m = 12 and c = 5.

For more explanation, refer the following link:

https://brainly.com/question/18304593

#SPJ10

If triangle DAB = Triangle CBA

Angle D = 132 degrees and Angle C = x + 18

x = ?

please help

Answers

Answer:

x = 114

Step-by-step explanation:

since the triangles are congruent, then corresponding angles are congruent, that is

∠ C = ∠ D

x + 18 = 132 ( subtract 18 from both sides )

x = 114

Which of the following parent functions has a domain and range of all real
numbers, excluding the origin?

Answers

Sorry, I think my answer to your question is wrong.

Which graph is an example of a function whose parent function is y = StartRoot x EndRoot?
On a coordinate plane, a curve starts at (negative 1, negative 1) and then curves up and to the right into quadrant 1.
On a coordinate plane, a parabola has a vertex at (0, 1).
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = negative 1. One curved decreases from quadrant 2 into quadrant 1 and approaches y = 1. It crosses the y-axis at (0, 2). The other curve approaches y = 1 in quadrant 1 and then curves down and approaches y = negative 1 in quadrant 3. It crosses the x-axis at (negative 2, 0).
On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0).

Answers

Using translation concepts, the graph of a translated function of [tex]y = \sqrt{x}[/tex] is given by:

On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0).

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

[tex]y = \sqrt{x}[/tex] starts at (0,0) and in it's entirety, is in quadrant 1. When it is shifted down and left, it will start on quadrant 3 and increase into quadrant 1, hence the correct option is given by:

On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0).

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ1

Answer:

A

Step-by-step explanation:

I took it

Solve for x.



Enter your answer in the box.

x = ...°

(Please refer to attached image.)

Answers

Answer:

132

Step-by-step explanation:

6 angles plug in for n

(n-2)*180

4*180

720 degrees in all

subtract all other angles

Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items.

Part A
Choose the inequality and solution to represent the number of cans, c, that Xander must still collect.

Answers

Answer:

Inequality: 64+C[tex]\geq 120\\\\[/tex]

               - 64.       -64

We subtract to isolate variable

Solution: [tex]C\geq 56[/tex]

If you draw all hearts from a deck of 52 cards,
what is the ratio of the remaining cards to the
whole deck?

Answers

Answer:

39

Step-by-step explanation:

Okay so there are 52 cards in a deck and there are 4 of each card. 4 kings 4 Queens 4 Jacks 4 Ace 4 Twos 4 Threes 4 fours 4 fives 4 sixes 4 sevens 4 eights 4 nines 4 tens. One from each group is a heart there are 13 groups so therefore subtract 13 from 52.

Moscow: -5.5°C Cold Lake: -17.5°C Choose the correct inequality symbol to complete the inequality statement, -5.5°C ________ -17.5°C.

Answers

Answer:

-5.5°C > -17.5°C

Step-by-step explanation:

Since -5.5 is larger than -17.5

The correct inequality symbol to complete the inequality statement is ">" (greater than). [tex]-5.5^{\circ}C > -17.5^{\circ}C[/tex].

To understand why this symbol is used, let's compare the two temperatures.

The temperature in Moscow is -5.5C, while the temperature in Cold Lake is [tex]-17.5^{\circ}C[/tex].

Since -5.5 is greater (warmer) than -17.5,  use the ">" symbol to indicate that [tex]-5.5^{\circ}C[/tex] is greater than [tex]-17.5^{\circ}C[/tex].

Here's a step-by-step explanation:

Begin by comparing the numerical values of the temperatures: -5.5 and -17.5.Since -5.5 is a higher value (closer to 0) compared to -17.5, it means that Moscow's temperature is warmer than Cold Lake's temperature.The ">" symbol is used to represent "greater than" in an inequality statement.By using the ">" symbol, we express that [tex]-5.5^{\circ}C[/tex] is greater (warmer) than [tex]-17.5^{\circ}C[/tex].

In summary, when comparing the temperatures of Moscow and Cold Lake, the correct inequality statement is [tex]-5.5^{\circ}C > -17.5^{\circ}C[/tex], indicating that Moscow's temperature is higher (warmer) than Cold Lake's temperature.

Learn more about inequality here:

https://brainly.com/question/30427155

#SPJ4

The diagram shows a swimming course set out on a lake. Angle BCA = 90°. B 80m 145m C A Not to scale C is due north of A. Calculate the bearing of B from A.

Answers

the pronunciation of this question is wrong make it right first then I will answer

Step-by-step explanation:

please send this question again because I I think you want to write it fast and by mistake you are wright wrong

Which inequality describes the acceptable weights for the suitcase?
x≤ 32.5 or x ≤ 47.5
32.52x2 47.5
x≤ 32.5 or x ≥ 47.5
32.5 ≤ x ≤ 47.5

Answers

Based on the given options, the inequality for the acceptable weights of the suitcase is 32.5 ≤ x ≤ 47.5.

What is the acceptable weight for the suitcase?

You didn't include the full question but this question can be answered based on the given options.

When inequalities are written, there is no inclusion of "or" which eliminates options A and C.

It is illogical to have an inequality as 32.5 ≥ x ≥ 47.5. This is because if 32.5 is larger or equal to x, then x cannot be larger than 47.5. This is mathematically impossible.

This leaves the likely answer as 32.5 ≤ x ≤ 47.5 which means that the weight of the suitcase has to be larger than or equal to 32.5 but less than or equal to 47.5.

Find out more on inequalities at https://brainly.com/question/24372553.

#SPJ1

Answer:

32.5 ≤ x ≤ 47.5

Step-by-step explanation:

please help me with this. put the shapes in their correct place on the Venn diagram. Screen shot and edit if you have to.

Answers

View the answer in the Venn Diagram below.

A quadrilateral is a flat shape with four edges and four corners, also known as vertices. The quadrilateral has angles at each of its four vertices, or corners. The angles at the vertices of a quadrilateral ABCD are A, B, C, and D. A quadrilateral has the following sides: AB, BC, CD, and DA.

A simple (non-self-intersecting) quadrilateral with two sets of parallel sides is known as a parallelogram in Euclidean geometry.

A quadrilateral with equal angles and parallel opposing sides is referred to as a rectangle. Around us, there are a lot of rectangle items. The length and breadth of any rectangle form serve as its two distinguishing attributes. The width and length of a rectangle, respectively, are its longer and shorter sides.

Learn more about quadrilaterals here-

brainly.com/question/13805601

#SPJ10

Other Questions
HELP PLEASE!!!!!!!!!!!!!!!!!!! Find the missing side of each triangle. Leave your answers in simplest radical form.23 mA) 19 mc) 5 mO aaOb bOc7mCOd dB) 17 mD) 2 m A sample of substance x that has a mass of 326.0 g releases 4325.8 cal when it freezes at its freezing point. if substance x has a molar mass of 58.45 g/mol, what is the molar heat of fusion for substance x? use q equals n delta h.. 13.31 cal/mol 74.00 cal/mol 775.6 cal/mol 19054.7 cal/mol Question 4 (Essay Worth 10 points)(05.06; 05.07 MC)A prism and two nets are shown below:Image of a right triangular prism and 2 nets. The triangle bases have base 4, height 3, and diagonal side 5. The length of the prism from the bases is 8.6. Net A has 3 rectangles in a row. The middle one has sides AC and CD. This middle one has triangle ABC on top and identical triangle below. Net B is the same except that the triangle base ABC is on top of the last rectangle which has sides AC and CD. Units are in inches.Part A: Which is the correct net for the prism? Explain your answer. (2 points)Part B: Write the measurements of Sides AB, BC, and CD of the correct net. (4 points)Part C: What is the surface area of the prism? Show your work. (4 points) What is the ratio of the weight of two castings that weigh 32 lbs. and 38 lbs The volume of a cylinder is given by the formula V = 3.14rh, where r is the radius of the cylinder and h is the height. Suppose a cylindrical can has radius (x+8) and height (2x+3). Which expression represents the volume of the can? O (pi)x^3 + 19(pi)x^2 + 112(pi)x + 192(pi) O 2(pi)x^3 + 35(pi)x^2 + 80(pi)x + 48(pi) O 2(pi)x^3 + 35(pi)x^2 + 176(pi)x + 192(pi)O 4(pi)x^3 + 44(pi)x^2 + 105(pi)x + 72(pi) You add a filter by condition, and set the condition to [Weight]>50. How will this affect your data? in tableau Medical term for shingles? define plasma osmolality Which is the correct unit for electrical power? pleaseee answer people good at math Someone is hurt or killed in Texas from an alcohol-related crash every ___minutes Who were the Roundheads? Find domain and range of f(x) = -x2 - 4x + 2 HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE write and solve a proportion to complete the statement. Round to the nearest hundredth if necessary.1. 6km ?mi2. 2.5 L ?gal3. 90lb ?kgpls help Which is a reason why historians might change their interpretation of an event?A new piece of evidence is discovered.New technology allows faster publication of results.They may dislike the previously accepted interpretation.An old theory may be unpopular with the general public. If washburn guitars were to lower the price of the maya pro dd75 to $2,499 from $2,699, sales of the guitar would increase 30 percent. This illustrates. Find the perimeter of a rectangle whose leath in 223 and width is 3/2. Find the perimeter of a rectangle whose leath in 223 and width is 3/2 . In this excerpt from "Chicago" by Carl Sandburg, which phrase shows a tone of determination?Fierce as a dog with tongue lapping for action, cunning as a savage pittedagainst the wilderness,Bareheaded,Shoveling,Wrecking,Planning,Building, breaking, rebuilding,Under the smoke, dust all over his mouth, laughing with white teeth,Under the terrible burden of destiny laughing as a young man laughs, prove that (1- cos(pi)/(8))(1-cos(3 pi)/(8))(1-cos(5 pi)/(8))(1=cos(7 pi)/(8))=(1)/(8)