What is the volume of a rectangular prism with a length of 81\2 centimeters, width of 9 1\3 centimeters, and a height of 12 2\5 centimeters?

Answers

Answer 1

Hello!

We must use a certain formula to find the volume of a rectangular prism. The formula is:

V = l × w × h

Let's multiply the 3 dimensions together. Before we can do that, though, we must convert the mixed fractions to improper fractions.

8 1/2 = (8 × 2) + 1 / 2 = 17/2

9 1/3 = (9 × 3) + 1 / 3 = 28/3

12 2/5 = (12 × 5) + 2 / 5 = 62/5

17/2 × 28/3 = 476/6 (which can be simplified to 238/3)

238/3 × 62/5 = 14756/15

Final Answer:

The volume of the rectangular prism is 983 11/15 centimetres cubed, and 983.733 centimetres cubed (Repeating decimal) as a decimal.

Related Questions

The 1997 value of an object was $9500. In 2012, it was worth $5000. The annual percent of decay has been constant. What is the annual percent of decay? A) 1.19% B) 2.19% C) 3.19% D) 4.19%

Answers

find the difference in the two numbers you're comparing and then divide that number by the original number and multiply by 100. it should give you the percentage of the value im not sure how to add the years in there.

The tables below represent the profits earned by a merchandiser from four new consignments of t-shirts. Each consignment contained t-shirts of five different sizes. If we were to plot each of the t-shirt sizes and the profit earned on each new size, we would get a different graph for each consignment. Almost all the graphs showed some association between the two variables, except one consignment, which showed no association. Which of the following consignments shows no association?

Answers

The graphs below are for each table. Screenshot 1 goes with Table 1, screenshot 2 goes with Table 2, and so on. As you can see, 3 of the 4 graphs appear to have a correlation. Graph number 2, however, does not appear to have any correlation.

In graph 2, the dots are scattered and also no association.

What is an association?

An association (relationship) between two numerical variables can be described by its form, direction, strength, and outliers. A scatter plot shows the association between two variables. A scatter plot matrix shows all pairwise scatter plots for many variables.

For the given situation,

There are four new consignments of t-shirts.

Each consignment contained t-shirts of five different sizes.

Graph is plotted as shown below between each of the t-shirt sizes and the profit earned on each new size.

If one variable increases as the other variable increases, there is said to be a positive association.

Two variables have a negative association when the values of one variable tend to decrease as the values of the other variable increase.

No association means that there is no line and all the dots are scattered.

From the graph shown, in graph 2 the dots are scattered. Thus no association.

Hence we can conclude that in graph 2, the dots are scattered and also no association.

Learn more about association here

https://brainly.com/question/11186938

#SPJ2

How many days would it take a loan of $18,889 to earn $500 exact interest at a 3.3% interest rate?

Answers

the answer is $220,000 for this answer

Finish the steps below to write a quadratic function for the parabola shown. Use the vertex form, f(x) = a(x – h)2 + k, and substitute in the values for h and k. f(x) = a(x – 5)2 + 3 Use another point and substitute in values for x and f(x). Solve for a. 5 = a(6 – 5)2 + 3 Write the function, using the values for h, k, and a. The function is f(x) = (x – )2 + .

Answers

we have

f(x) = a(x – h)² + k
we know the vertex v(5,3)
substitute in the values for h and k
f(x) = a(x – 5)² + 3
Use another point and substitute in values for x and f(x).
for the point (6,5)
Solve for a.
5 = a(6 – 5)2 + 3-------------- > 5=a+3-------------> a=2

The function is f(x)=a(x – h)2 + k-------- > 2(x – 5)² + 3
f(x)= 2(x – 5)² + 3-------- > 2[x²-10x+25]+3=2x²-20x+50+3=2x²-20x+53
f(x)=2x²-20x+53

the answer is f(x)= 2(x – 5)² + 3----------------- > (f(x)=2x²-20x+53)

Here we want to write the quadratic function for the parabola shown in vertex form.

We will get the function: f(x) = 2*(x - 5)^2 + 3

So the general function of a parabola with vertex (h, k) and leading coefficient a is:

f(x) = a*(x - h)^2 + k

Here, we know the formula:

f(x) = a*(x - 5)^2 + 3

where:

h = 5k = 3

So the vertex is the point (5, 3), and we only must find the value of a to completely determine the parabola's function

We also know that:

f(6) = 5

So we can solve:

5 = a*(6 - 5)^2 + 3

5 = a*(1)^2 + 3

5 = a + 3

5 - 3 = a = 2

So we just found the value of a, replacing this on the parabola's function we get:

f(x) = 2*(x - 5)^2 + 3

If you want to learn more about parabolas, you can read:

https://brainly.com/question/1480401

what are the properties of real numbers?

Answers

Final answer:

The properties of real numbers include closure, commutative, associative, identity, and inverse properties. These properties govern how real numbers behave in addition and multiplication operations.

Explanation:

The properties of real numbers refer to the characteristics and behavior of numbers that belong to the real number system. The real number system includes all rational and irrational numbers, such as whole numbers, integers, fractions, decimals, and square roots.

The properties of real numbers include:

Closure property: The sum or product of any two real numbers is also a real number. For example, the sum of 3.14 and 4 is 7.14, which is a real number.Commutative property: The order of addition or multiplication does not affect the result. For example, 2 + 3 is equal to 3 + 2, and 2 × 3 is equal to 3 × 2.Associative property: The grouping of real numbers in addition or multiplication does not affect the result. For example, (2 + 3) + 4 is equal to 2 + (3 + 4), and (2 × 3) × 4 is equal to 2 × (3 × 4).Identity property: The sum of a real number and zero is equal to the number itself. For example, 2 + 0 is equal to 2. The product of a real number and one is equal to the number itself. For example, 3 × 1 is equal to 3.Inverse property: Every real number has an additive inverse and a multiplicative inverse. The additive inverse of a real number is the number that, when added, gives zero as the result. For example, the additive inverse of 5 is -5, as 5 + (-5) = 0. The multiplicative inverse of a non-zero real number is the number that, when multiplied, gives one as the result. For example, the multiplicative inverse of 2 is 1/2, as 2 × (1/2) = 1.

These properties of real numbers are fundamental in algebraic operations and calculations. They provide a basis for solving equations, simplifying expressions, and working with mathematical concepts.

Pauline is building a fence around her vegetable garden, what length of fence will she need to build?

Answers

I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
SEE ATTACHED IMAGE.
First we look for the hypotenuse of both triangles.
Left triangle:
Sine (68.1) = (1.75) / (h)
h = (1.75) / Sine (68.1)
h = 1.886108667
h = 1.9m
Right triangle:
Sine (49.4) = (1.75) / (h)
h = (1.75) / Sine (49.4)
h = 2.304841475
h = 2.3m
Finally adding the perimeter:
P = 5 + 1.9 + 2.75 + 2.3
P = 11.95 m
Answer:
she will need to build 11.95 m of fence

What are the zeroes of the function? What are their multiplicities?

= x4 – 4x3 + 3x2 (1 point)

Answers

The equation is x^4 - 4x^3 + 3x^2 = 0.
You can simplify the terms as so:
x^2(x^2-4x+3) = 0
The equation above now contains x^2 and a quadratic function. A potential solution is x = 0 because x^2 = (0)^2 = 0.
Regarding the quadratic part of the equation,
x^2 - 4x + 3 = 0
(x+4)(x-1) = 0
When x = -4 or 1, the entire equation equals zero.
Therefore, the zeroes of the function are -4, 0, and 1.

Write an expression to represent: One more than the quotient of a number x and 4.

Answers

9514 1404 393

Answer:

x/4 +1

Step-by-step explanation:

The quotient of a number (x) and 4 is written ...

x/4

One more than that is ...

x/4 +1

A prism is completely filled with 1120 cubes that have edge lengths of 1/2 in. What is the volume of the prism? Enter your answer in the box. in³

Answers

Each cube has an edge length of 1/2 inch
V = 1/2 * 1/2 * 1/2
V = 1/8 cu in

There are 1120 of these cubes so the volume of the prism is 1/8 * 1120 = 140 cubic inches.

140 this is the answer

the thickness of a deep dish pizza is approximately 2 x 10^-1 feet. the thickness of a thin crust pizza is approximately 5 x 10^-2 feet. how many times smaller is the thickness of a thin crust pizza compared to the thickness of a deep dish pizza?

A. 0.25
B.0.4
C4
D25

Answers

The thickness of the deep dish can be evaluated by converting [tex]10^-^1[/tex] to a decimal. [tex]10^-^1= \frac{1}{10}=0.1[/tex]. We multiply 2(0.1) and get 0.2 feet for the thickness of the deep dish pizza.
The thickness of the thin crust can be evaluated in a similar way. [tex]10^-^2=0.01[/tex]. 5(0.01) = 0.05 ft for the thin crust pizza.
We don't know how many times bigger the deep dish is, so that is our variable. That gives us:
[tex]0.05x=0.2[/tex] (the thickness of the thin crust multiplied by an unknown factor equals the deep dish)
Divide both sides by 0.05:[tex]\frac {0.05x}{0.05}= \frac{0.2}{0.05} \\ x=4[/tex]
The deep dish is 4 times bigger than the thin crust, which means the thin crust is 4 times smaller than the deep dish.

The thickness of a thin crust pizza is 4 times smaller than the thickness of a deep dish pizza.

The question asks us to compare the thickness of a deep dish pizza to that of a thin crust pizza and determine how many times smaller the thin crust is. The deep dish pizza has a thickness of 2 x 10⁻¹ feet and the thin crust pizza has a thickness of 5 x 10⁻² feet. To find how many times smaller the thin crust is, we divide the thickness of the thin crust by the thickness of the deep dish pizza:
(5 x 10⁻² feet) / (2 x 10⁻¹ feet) = 0.25

Which of the following are opposite rays?
A. TV and TS
B. TX and TL
C. TS and TX
D. TL and TV

Answers

B) TX and TL is correct.

The correct answer is:

B. TX and TL

Explanation:

Opposite rays are rays that have the same endpoint and extend in opposite directions. The ones in the diagram that fit this description are TX and TL.

please help thank you.

Answers

You get the same figure if you reflect it across a horizontal or vertical line through its center (reflectional symmetry).

You get the same figure if you rotate it 180° (rotational symmetry)

Each point corresponds to another equidistant from the center on a line through the center (point symmetry).

The 4th selection is appropriate.

Given that (-8,-5) is on the graph of f(x), find the corresponding point for the function f(x-2)

Answers

This one works the same way the last one did.

If -8 is x-2, then x = -6. The corresponding point is (-6, -5).

Answer:

(3,-8)

Step-by-step explanation:

A circle has an area of 40 square meters. Which answer is closest to the measure of its diameter?

A.1.8 meters
B.4 meters
C.3.6 meters
D.7.1

Answers

D. 7.1
A circle has an area of 40 square meters. Which answer is closest to the measure of its diameter?

Answer:

Option D. [tex]7.1\ m[/tex]

Step-by-step explanation:

we know that

The area of a circle is equal to

[tex]A=\pi r^{2}[/tex]

In this problem we have

[tex]A=40\ m^{2}[/tex]

substitute and solve for r

[tex]40=\pi r^{2}[/tex]

[tex]r^{2}=40/( \pi)[/tex]

[tex]r=3.57\ m[/tex]

Multiply the radius by [tex]2[/tex] to obtain the diameter

[tex]3.57*2=7.14\ m[/tex]

Find the volume of a box that will hold nine 9.425 cm3 cylindrical containers that each measure 3 centimeters long. (round to nearest whole number)

Answers

To find the volume of a box that would hold these nine cylinders, you would start with the formula for volume of a cylinder. V=pi x r^2 x h. Substitute in the known volume and the known Height. 9.425=pi x r^2 x 3. Divide both sides by three to get approximately 3.143 = pi x r^2. Divided by pi on both sides. This leaves you with one = r^2. So the radius is equal to one. If the radius equals one, the diameter is two. Assuming the cylinders are arranged in a 3 x 3 array, the length and width of the rectangle or box would be 6cm x 6cm. To find the volume of the box necessary, multiply the length of six by the width of six by the height of three. The volume would be 108 square cm.

Final Answer:

The volume of the box that will hold nine 9.425 cm³ cylindrical containers, each measuring 3 centimeters long, is approximately 108 cm³.

Explanation:

First, we need to find the radius of each cylindrical container since we have its volume and the length. The volume V of a cylinder is given by the formula:
[tex]\[ V = \pi r^2 h \][/tex]
where r is the radius and h is the height (or length) of the cylinder. We are given:
[tex]\[ V = 9.425 \text{ cm}^3 \\\\\[ h = 3 \text{ cm} \][/tex]

We need to solve for r:

[tex]\[ 9.425 = \pi r^2 (3) \\\\\[ r^2 = \frac{9.425}{3\pi} \\\\\[ r^2 = \frac{9.425}{3 \times 3.14159} \\\\\[ r^2 = \frac{9.425}{9.42477} \\\\\[ r^2 \approx 1 \\\\\[ r \approx 1 \text{ cm} \][/tex]

Now we know the radius of one cylindrical container is approximately 1 cm. Although this rounding might lead to a slightly inaccurate result, we'll proceed with this approximation for simplicity's sake.

Since each container is a cylinder with a radius of 1 cm, the diameter of each container is [tex]$ 2 \times 1 = 2 $[/tex] cm. If we wanted to pack these containers without any wasted space in one layer, we would arrange them in a 3 by 3 grid, given there are 9 containers. The length and the width of the box would then each be 3 times the diameter of one container.

Hence:
Length of box = Width of box = [tex]$ 3 \times 2 $[/tex] cm = 6 cm.
The height of the box would be equal to the length of one of the containers, which is 3 cm.

Now we can find the volume of the box:
Volume of box [tex]$ V_{\text{box}} $ = Length $ \times $ Width $ \times $ Height[/tex]
[tex]\[ V_{\text{box}} = 6 \text{ cm} \times 6 \text{ cm} \times 3 \text{ cm} \\\\\[ V_{\text{box}} = 36 \text{ cm}^2 \times 3 \text{ cm} \\\\\[ V_{\text{box}} = 108 \text{ cm}^3 \][/tex]
Rounding to the nearest whole number, the volume of the box that will hold nine 9.425 cm³ cylindrical containers, each measuring 3 centimeters long, is approximately 108 cm³.

WILL GIVE BRAINLIEST!
If ∠A, and ∠B, are complementary angles and if m∠A is 37°, what is m∠B?
A. 37°
B. 53°
C. 74°
D. 143°

Answers

If the angles are complementary, it means their sum is 90 degrees.
90 - 37 = 53
The answer is B. 53

Hope this helps =)

Answer:

For this one the answer is b: 53 :)

Take Care

Evaluate faith’s check register

Answers

. Faith did a good job; everything is correct.

What is there to evaluate?

What is the projection of (3,4) onto (3,1)?

Answers

((3, 4)•(3, 1)) · (3, 1)/||(3, 1)||^2
= 13/10 · (3, 1)
= (3.9, 1.3)

the answer can also be written as 1.3(3,1)

Find the area of the following circle. (Round answer to the nearest whole number.) Circumference = 280 cm. (Hint: Find r from C = 2πr (round r to tenths); then find area). 1) 89 2)560 3)1,989 4)6,246

Answers

Answer:

4)6,246

Step-by-step explanation:

First we will find the value of r.

The formula for circumference is C = 2πr:

280 = 2(3.14)r

280 = 6.28r

Divide each side by 6.28:

280/6.28 = 6.28r/6.28

44.6 ≈ r

The formula for the area of a circle is

A = πr²

Using our value for r, we have

A = 3.14(44.6)² = 6245.9624 ≈ 6246

Area of circle is,

⇒ 11493.2 cm²

What is mean by Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

Circumference of circle = 280 cm.

Now, We know that;

Circumference = 2πr

Hence, We get;

⇒2πr = 280

⇒ 2 × 3.14 r = 380

⇒ 6.28 r = 380

⇒ r = 380 / 6.28

⇒ r = 60.5

Hence, Area of circle is,

⇒ πr²

⇒ 3.14 × 60.5²

⇒ 11493.2 cm²

Learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ3

Tim's age is two thirds of sara's age. sara's age is three fifths of mark's age. mark is 9 years older than tim. how old is sara? answer

Answers

T = Tim, S = Sara, M = Mark

T = 2/3S
S = 3/5M, M = 5/3S
M - 9 = T
5/3S - 9 = 2/3S
S = 9

What is the solution to the equation 5x + 2y = -9
a.(2,-4)
b.(-1,2)
c.(-2,5)
d.(1,-3)

Answers

In order to find which one of the given points is a solution to the equation, we need to plug each point in the equation and check which one fits in .

The equation is :

5x+2y=-9

a.(2,-4)

5x+2y=-9

LHS: 5x+2y

Plugging (2,-4) in this,

5(2) +2(-4) = 10-8 =2

RHS : -9

LHS ≠RHS

So (2,-4) is not the solution.

b.(-1,2)

5x+2y=-9

LHS: 5x+2y

Plugging (-1,2) in this,

5(-1) +2(2) = -5+4 =-1

RHS : -9

LHS ≠RHS

So (-1,2) is not the solution.

c.(-2,5)

5x+2y=-9

LHS: 5x+2y

Plugging (-2,5) in this,

5(-2) +2(5) = -10+10 =0

RHS : -9

LHS ≠RHS

So (-2,5) is not the solution.

d.(1,-3)

5x+2y=-9

LHS: 5x+2y

Plugging (1,-3) in this,

5(1) +2(-3) = 5-6=-1

RHS : -9

LHS ≠RHS

So (1,-3) is not the solution.

None of the given options is a solution to the given equation.

helppppppppppppppppppppppp

Answers

Answer:
The second choice is the correct one

Explanation:
(2x+3)^2 + 8(2x+3) + 11 = 0
To use the u substitution, we will assume that:
2x + 3 = u

Substitute with this in the given expression, we will get:
u^2 + 8u + 11 = 0

The general form of the second degree equation is:
ax^2 + bx + c = 0

Comparing the expression we reached with the general one, we will find that:
a = 1
b = 8
c = 11

The roots can be found using the rule found in the attached picture.
This means that, for the given expression:
u = -4 ± √5

Now, we have:
u = 2x+3
This means that:
at u = -4 + √5
2x + 3 = -4 + √5
2x = -7 + √5
x = (-7 + √5) / 2

at u = -4 - √5
2x + 3 = -4 - √5
2x = -7 - √5
x = (-7 - √5) / 2

This means that, for the given expression:
x = (-7 ± √5 ) / 2

Hope this helps :)

(2x + 3) ^ 2 + 8 (2x + 3) + 11 = 0
Using substitution we have:
u = 2x + 3
We rewrite:
(u) ^ 2 + 8 (u) + 11 = 0
We use resolvent:
u = (- b +/- root (b ^ 2 - 4ac)) / (2a)
We replace:
u = (- (8) +/- root ((8) ^ 2 - 4 (1) (11))) / (2 (1))
u = (- (8) +/- root (64 - 44)) / (2)
u = (- (8) +/- root (20)) / (2)
u = (- (4) +/- root (5))
We return the change:
u = (- (4) +/- root (5)) = 2x + 3
We clear x:
x = (- (7) +/- root (5)) / 2
Answer:
x = (- (7) +/- root (5)) / 2
(option2)

which geometric construction is shown below

Answers

The area of the larger square is twice that of the smaller one, so it is probably intended to be

B. Doubling the square

According to apex, the answer is "Doubling the Square"

What is eight more than twice the greatest negative integer?

Answers

1. Integers numbers are defined as the set of numbers that is formed by Positive numbers (Also called "Natural numbers"), Negative numbers (They are less than zero) and zero (This has no sign). This set is represented with the letter "Z". Therefore: Z={...-2, -1, 0, 1, 2 ...}.

2. Keeping this on mind, you have that the integer asked, is:

- Twice the greatest negative integer: 2(-1)
- Eight more than twice the greatest negative: 8+2(-1)

3. Then:

=8+2(-1)
=8-2
=6

Therefore, the answer is: 6.

A plane requires 3300 gallons of fuel and 75 minutes to make a round trip to Prague, and it takes 5700 gallons of fuel and 130 minutes to make a round trip to Stockholm. A pilot is asked to use at least 94500 gallons of fuel and spend at least 2400 minutes to make round trips to Prague and Stockholm in his plane. Let P denote the number of round trips to Prague and S the number of round trips to Stockholm. Write an inequality that represents the condition based on the number of gallons of fuel. Write an inequality that represents the condition based on the number of minutes.

Answers

Fuel constraint:
.. 3300P +5700S ≥ 94500

Time constraint:
.. 75P +130S ≥ 2400

Answer: The inequality that represents the condition based on the number of gallons of fuel will be:

[tex]3300P +5700S \geq94500[/tex]

The inequality that represents the condition based on the number of minutes will be:

[tex]75P +130S\geq2400[/tex]

Step-by-step explanation:

Let P denote the number of round trips to Prague and S the number of round trips to Stockholm.

Since the plane requires 3300 gallons of fuel and 75 minutes to make a round trip to Prague and 5700 gallons of fuel and 130 minutes to make a round trip to Stockholm.

Then the inequality that represents the condition based on the number of gallons of fuel will be:

[tex]3300P +5700S \geq94500[/tex]

The inequality that represents the condition based on the number of minutes will be:

[tex]75P +130S\geq2400[/tex]

PLEASE ANSWER ALL, IF YOU CANNOT ANSWER ALL THEN PLEASE DO NOT COMMENT A ANSWER!!! (YOU GET 22 POINTS!!)

1. What is 193.492 rounded to the nearest hundredth?

2. Compare the decimals 9,135.40 and 9,135.4.
Which comparison is correct?
A.9,135.40 < 9,135.4
B. 9,135.40 > 9,135.4
C. 9,135.40 = 9,135.4

Which is the best estimate for the product of 3,826.301 × 175.6?
A. 8,000,000
B. 800,000
C. 80,000
D. 8,000

Which is the best estimate for the quotient of 198.32 ÷ 9.001?
A. 2,000
B. 200
C. 20
D. 2

TYSM IF YOU ANSWER!!

Answers

1. 193.50
2. C
3. B
4. C

#1 193,492
#2 is c cause there equal
#3 is choice b
#4 is choice c
those should be your answers your welcome and have a great day :D<3

helpppppppppppppppppppppppppp

Answers

Answer:
θ has a 60-degree reference angle and is located in quadrant II or IV

Explanation:
First, we will get the reference angle:
√3 / 3 is equivalent to 1/√3
This means that the reference angle for θ is 60
Second, we will locate the quadrant:
Based on the ASTC rule, the tan is positive in the first and third quadrants.
Since the given value is negative, therefore, θ is located in either the second or fourth quadrant

Hope this helps :)

For this case we have that the angle sought is 30 degrees.
Tan30 = - (1/2) / (root (3) / 2)
Tan30 = - (root (3)) / (3)
The tangent is positive in the first quadrant and in the third quadrant.
Therefore the answer is:
Angle 60 in quadrants II and IV
Answer:
Angle 60 in quadrants II and IV
option 3.

The perimeter of a rectangle is 54cm. The area of the same rectangle is 176 cm^2. What are the dimensions of the rectangle?

A. 11 cm by 16 cm
B. 8 cm by 22 cm
C. 5.5 cm by 32 cm
D. 4 cm by 44 cm

Answers

Given is rectangle with perimeter = 54 centimeters and area = 176 squared centimeters.

Let's consider the length of rectangle = L and width of rectangle = W.

We know the following formulas for rectangle :-

Perimeter = 2 x (L + W)

Area = L x W

So we have 2 x (L + W) = 54 and L x W = 176.

L + W = 27 and L x W = 176

We need to find two positive integers such that their sum is 27 and product is 176.

Using trial and error, we have two such positive integers such that 11 + 16 = 27 and 11 x 16 = 176.

So, the dimensions of rectangle would be 11cm x 16cm.

Hence, option A is correct i.e. 11 cm by 16 cm.

Annabella spends $2.25 per gallon on gas at the gas station. After driving a certain distance, she stops at a second gas station and spends $2.15 per gallon on gasoline. Annabella can express her average cost per gallon of gasoline as 2.25x+2.15(x+5)/2x+5 .

Answers

1.075x+7.625x+5, hope this helps

Answer:

THE NUMERATOR OF THE RATIONAL EXPRESSION REPRESENTS THE TOTAL COST OF GASOLINE PURCHASED.

THE DENOMINATOR OF THE RATIONAL EXPRESSION REPRESENTS THE TOTAL GALLONS OF GASOLINE PURCHASED

The complete problem is:

Annabella spends $2.25 per gallon on gas at the gas station. After driving a certain distance, she stops at a second gas station and spends $2.15 per gallon on gasoline.

Annabella can express her average cost per gallon of gasoline as [tex]y = \frac{(2.25x + 2.15(x+5))}{2x+5}[/tex]

What is the meaning of the parts of this rational expression in the context of the situation?

THE NUMERATOR OF THE RATIONAL EXPRESSION REPRESENTS THE __________.

(select one)

1. total cost of the gasoline purchased

2. total number of gallons of gasoline purchased

3. cost per gallon of gasoline

THE DENOMINATOR OF THE RATIONAL EXPRESSION REPRESENTS THE ________.

1. total cost of the gasoline purchased

2. total number of gallons of gasoline purchased

3. cost per gallon of gasoline

So, in this context and based on the given data, the numerator of the expression is referring to the total cost of gasoline purchased, and the denominator is expressing the total gallons of gasoline purchased.

You can deduct this because, the numerator contains the amounts of costs per gallon, being x gallons. On the other hand, you can see in the denominator that there's no costs multiplying the variable, it's just a quantity which refers to the amount of gasoline, not the cost.

Rodney models the factorization of a trinomial with algebra tiles as shown. Rodney forgot to place x-tiles in zero pairs in the model of the trinomial. How many zero pairs of x-tiles should he place in the model? pairs

Answers

Answer:

I believe the answer is 3. : )

Other Questions

Sean divides 8 cups of granola into 1/4-cup servings. How many servings of granola does he have? Tom is dying at home, where a home hospice-care worker has visited him frequently, and he has been able to spend meaningful time with his various family members and tell them how important they have been to him. based on the norms of western cultures such as those of the united states, tom is The survival of some plants depends on their ability to have seeds transported to a favorable environment. Describe three different ways seeds can be transported from one location to another? What is one piece of evidence that supports the theory that humans crossed to the Americas via the Bering land bridge? Question 4(Multiple Choice Worth 4 points) (LC)Which sentence below shows correct use of em dashes? By the end-of-the-story, no one could believe it the main-character, was dead. By the end of the story no one could believe it, the main character was dead. By the end of the story, no-one could believe it the main, character was dead. By the end of the story no one could believe it the main character was dead. a 40 N block exerts 20 Pa of pressure on a table. What is the area of the block that is touching the table? If the asymptotes of a hyperbola are the x- and y-axes, it is known as a rectangular hyperbola? Activation of the parasympathetic nervous system _____ salivation and decreases blood pressure. What is the result of adding the system of equations?2x + y = 43x - y = 6x = 2x = 105x = 10 Gergely & watson's contingency detection module is an example of _______ because ______________.a. a stage theory; they describe stages in understanding the internal states of othersb. and information processing theory; they posit the learning mechnisms for operant conditioning.c. a core knowledge theory; they posit an innate learning mechanism that encodes the statistical relationships between the individual's behavior and subsequent events in the environment.d. a sociocultural theory; they posit a learning mechanism that encodes social 56. exercise. for natural numbers a and b, give a suitable definition for "least common multiple of a and b", denoted lcm(a, b). construct and compute some examples. What two "executive powers" are held by the senate? what is the role of the house and senate in the impeachment process? There are no truly pure market economic systems , but which of the following countries is the cloest? options: cuba , russia ,china , Usa 1 and 2 are vertical angles. 2 has a measure of 31. What is the measure of 1 ? Enter your answer in the box. The speaker in Hughess poem Democracy encourages people to The activation energy for the gas phase isomerization of cyclopropane is 272 kJ. (CH2)3CH3CH=CH2 The rate constant at 718 K is 2.3010-5 /s. The rate constant will be /s at 753 K. During each minute of a comedy show, Carlin laughs 555 times. Carlin watches 333 comedy shows every day, and each show is 404040 minutes long. How many times does Carlin laugh every day due to the comedy shows? what is the average of -10.25 and 125.75 During the baroque era, the Catholic church required that religious art A. be displayed only in Christian churches and basilicas. B. be affordable for the common people to buy. C. be displayed in every home and business. D. teach the Bible on an emotional level to lower-class people what are three key administration officials as of 2006.