T=s+.50 T=0.25s+1.70 In the equation above t and a represent the weight in tons of a sedan and of a truck, respectively. What is the weight of a sedan in tons

Answers

Answer 1

Answer :

The weight of a sedans in tons is 2.1 tons.

Step-by-step explanation:

Given : Equations [tex]T=s+0.50[/tex] and [tex]T=0.25s+1.70[/tex] where T and s represents the weight in tons of a sedan and of a truck, respectively.

To find : What is the weight of a sedan in tons ?

Solution :

Solving equations,

[tex]T=s+0.50[/tex] ......(1)

[tex]T=0.25s+1.70[/tex]  .....(2)

As LHS is equate we equate RHS,

[tex]s+0.50=0.25s+1.70[/tex]

[tex]s-0.25s=1.70-0.50[/tex]

[tex]0.75s=1.2[/tex]

[tex]s=\frac{1.2}{0.75}[/tex]

[tex]s=1.6[/tex]

Substitute in equation (1),

[tex]T=1.6+0.50[/tex]

[tex]T=2.1[/tex]

Therefore, the weight of a sedans in tons is 2.1 tons.


Related Questions

In a group of 65 students when you have brown eyes and 30 have blue eyes. Find the Probability that a student pick from this group at random either has blue or brown eyes

Answers

Answer:

The probability that a student pick from this group at random either has blue or brown eyes is

P = 40/65 = 0.6154

P = 61.54%

Corrected question;

In a group of 65 students 10 have brown eyes and 30 have blue eyes. Find the Probability that a student pick from this group at random either has blue or brown eyes

Step-by-step explanation:

Given;

Total number of students = 65

Number of students with either blue or brown eyes;

= 10+30 = 40

The probability that a student pick from this group at random either has blue or brown eyes is

P = 40/65 = 0.6154

P = 61.54%

Probability is the likelihood of an event happening. In this case, the probability of picking a student with blue or brown eyes is 19/13.

Probability is the likelihood of an event happening, calculated by dividing the number of favorable outcomes by the total number of outcomes.

In this case, the total number of students is 65. The probability of picking a student with brown eyes is 65/65 = 1, and the probability of picking a student with blue eyes is 30/65. To find the probability of picking a student with either blue or brown eyes, you add the probabilities, getting 1 + 30/65 = 95/65, which simplifies to 19/13.

What is the complete factorization of 12x^2+36x+27

Answers

Answer:

Those numbers are factored to

3(2x+3)2 <-------- the last 2 is squared

Answer:

Have a great rest of your day ;)

Step-by-step explanation:

What is the slope of the line represented by the table below?

x y
-2 0
0 2
1 3
3 5
7 9
whats the slope

Answers

Answer:

The slope is 1 and the y-intercept is 2

A baker is attempting to construct the world's largest cake. The cake is 12 meters square and 4 meters tall. How much surface area will the cake need to be iced (including the bottom)?

Answers

Answer:

The area of the surface that needs to be iced is 480 m².

Step-by-step explanation:

A cake has the same shape as a rectangular prism. A rectangular prism has six faces. The first one is formed by the length and the width, the second is formed by the length and the height and the third is formed by the width and the height, each of these faces is mirrored, so the surface area for the cake is:

surface area = 2*width*height + 2*width*length + 2*length*height

surface area = 2*12*4 + 2*12*12 + 2*12*4

surface area = 96 + 288 + 96 = 480 m²

The area of the surface that needs to be iced is 480 m².

Answer:

480 m².

Step-by-step explanation:

A cake will be similar to rectangular prism i.e a solid (3-dimensional) object which has six faces that are rectangle.

Finding surface area for all rectangular prisms involves both addition and multiplication. so the surface area for the cake is given by:

surface area = 2(widthxheight) + 2(widthxlength) + 2(lengthxheight)

surface area = 2(12 x 4) + 2(12 x 12) + 2(12 x 4)

surface area = 96 + 288 + 96 = 480 m²

Therefore, the cake will need the surface area of  480 m² to be iced.

What is the solution to the system of equations? 5x – 4y = 6 –5x + 4y = –10 (4, 4) (–2, –5) infinitely many solutions no solution

Answers

Answer:

No solution

Step-by-step explaination

i got it right have a great day  

There is no solution because the variables level out to zero. Option D

What is a simultaneous equation?

A simultaneous equation, also known as a system of equations, refers to a set of two or more equations with multiple variables that are solved together. To find a solution to the system, we are looking for values of x and y that make both Equation 1 and Equation 2 true at the same time.

We have the equation as;

5x – 4y = 6  ---(1)

–5x + 4y = –10 ---- (2)

Add (1) and (2)

When we add the both equations, we would arrive at no possible solution because the variables would be levelled out to zero.

Learn more about simultaneous equation:https://brainly.com/question/30352681

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EMERGENCY!!! What is the volume of the following rectangular prism

Answers

Answer:

42

Step-by-step explanation:

have a wonderful day

Answer:

42

Step-by-step explanation:

To find the area of a rectangular prism, you do height*width*base.

5 1/4 also known as 5.25 is the area of the width and hieght multiplied together. So then we would just multiply 5.25 by the base (8) to get 42.

On Monday, Mr. Roberts drove 42 miles. On Tuesday, he drove 5 miles more than half the distance he drove on Monday. Which expression shows how you could find the distance, in miles, Mr. Roberts drove on Tuesday? A.(42-5)*2 B. 42-(5*2) C. (42/2)-5 D.(42/2)+5

Answers

Answer:

D

Step-by-step explanation:

If it is half the distance, it would be divided by 2. plus 5 miles more would be added after the division.

Daniels print shop purchases a new printer for $35000. Each year it depreciates at a rate by 5%. Use an exponential function to find its approximate value after 8 years

Answers

Answer:

The value of printer will $23,219.72 after 8 years.

Step-by-step explanation:

Given that, Daniels print shop purchases a new printer for $35,000.

Each year it depreciates at a rate 5%.

Exponential function:

[tex]P(t)=P_0(1-r)^t[/tex]

P(t)= Price of printer after t years

[tex]P_0[/tex]= Initial price of printer

r= rate of depreciate.

t=Time

Here, [tex]P_0[/tex] = $35,000,r=5%=0.05, t=8 years

[tex]P(8)= 35000(1-0.05)^8[/tex]

      =$23,219.72

The value of printer will $23,219.72 after 8 years.

The exponential equation is solved and the cost of printer is A = $ 23219.71

Given data:

To find the approximate value of the printer after 8 years, considering a depreciation rate of 5% per year, we can use the formula for exponential decay:

V = P * (1 - r)^t

Where:

V = Value after t years

P = Initial value (purchase price)

r = Depreciation rate (as a decimal)

t = Number of years

In this case, the initial value (P) is $35,000, the depreciation rate (r) is 5% or 0.05, and the number of years (t) is 8.

Plugging in these values into the formula:

V = 35,000 * (1 - 0.05)⁸

V = 35,000 * (0.95)⁸

On simplifying the equation , we get

V ≈ 35,000 * 0.6634

V ≈ $ 23219.71

Hence, the approximate value of the printer after 8 years, considering a 5% depreciation rate per year, is $ 23219.71

To learn more about exponential growth factor click :

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|a+x|/2 − |a−x|/2 , if a=−2; x=−6

PLZ HELP!!!

Answers

Answer:

2

Step-by-step explanation:

|a+x|/2 − |a−x|/2 , if a=−2; x=−6

Evaluate this expression

Simply plug in the numbers

| -2 + -6 | /2   -   |-2 - -6|/2

|-8| /2  -   |4|/2

4 - 2

2

Answer:

2

Step-by-step explanation:

So you're dealing with absolute value which means that whatever is inside these symbols |  | will be positive after all the calculations inside are done.

Plug in your values

|(-2) + (-6)|/2

-2 - 6 = -8

absolute value of -8 is 8

8/2 = 4

First part is 4

|(-2) - (-6)|/2

-2 + 6 = 4

4/2 = 2

Second part is 2

Put the two values back into your original equation

4-2 = 2

Average speed 5 km/h traveled at average speed of 60 km/h. What is the total distance from home to school is 35 kilometers and it took entire trip 1.5 hours

Answers

Answer:

He spent 5km walking and 30km on the bus

Step-by-step explanation:

This is the complete question;

Yochanan walked from home to the bus stop at an average speed of 5 km / h. He immediately got on his school bus and traveled at an average speed of 60 km / h until he got to school. The total distance from his home to school is 35 km, and the entire trip took 1.5 hours.

How many km did Yochanan cover by walking and how many did he cover by travelling on the bus?

solution;

In this question, we have a student who journeyed by walking and also by using a bus, we are asked to calculate the number of kilometers traveled using both means.

We proceed as follows;

Firstly, let’s represent the number of kilometers he walked by x and the number of kilometers he traveled on the bus by y.

Mathematically;

x + y = 35 ••••••••••(i)

Now we know that total distance is 60km at a time of 1.5hours.

Total time = total distance/total time

Time taken to walk = x/5

Time used on the bus = y/60

Adding both will give the total time of 1.5 hours

x/5 + y/60 = 1.5

12x + y = 90 •••••••••(ii)

let’s subtract i from ii

11x =55

x = 55/11 = 5km

Recall x + y = 35

y = 35-5

y = 30km

what is the term used to describe the range of the middle half of the data set

Answers

Answer:

Interquartile Range

Step-by-step explanation:

In a box-and-whisker plot, the interquartile range is a measure of the spread of the middle half of the data.

Answer:

Median

Step-by-step explanation:

Median is the middle number in a data set, or the middle value in a list of numbers.

I tried.

Suppose a city with population 800 comma 000 has been growing at a rate of 5​% per year. If this rate​ continues, find the population of this city in 17 years.

Answers

Answer: 1,833,615

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:

A = P (1 + r) t  

Where:

p = original population

r = growing rate (decimal form)

t= years

A = population after t years

Replacing with the values given:

A = 800,000 (1+ 5/100)^17

A = 1,833,615  

Feel free to ask for more if needed or if you did not understand something.

fill in the blanks to make the following rational number is equivalent 3/4=__ /24​

Answers

Step-by-step explanation:

let the blank be x

[tex] \frac{3}{4} = \frac{x}{24} [/tex]

[tex]x = \frac{24 \times 3}{4} = 6 \times 3 = 18[/tex]

therefore,

[tex] \frac{3}{4} = \frac{18}{24} [/tex]

Answer:

The answer can be 18/24

Step-by-step explanation:

Divide 18/24 by 6

You get 3/4

Then you divide to get 0.75

A rotating light is located 20 feet from a wall. The light completes one rotation every 3 seconds. Find the rate at which the light projected onto the wall is moving along the wall when the light's angle is 10 degrees from perpendicular to the wall.

Answers

Answer:

43.17 ft/s

Step-by-step explanation:

Let the height of the wall is y.

distance of wall from light is 20 feet.

[tex]tan\theta =\frac{y}{20}[/tex]    

y = 20 tanθ    .... (1)

time period, T = 3 second

[tex]\frac{d\theta}{dt}=\frac{2\pi}{3}[/tex]

Differentiate equation (1) with respect to t.

[tex]\frac{dy}{dt}=20sec^{2}\theta\times \frac{d\theta}{dt}[/tex]

[tex]\frac{dy}{dt}=20sec^{2}10\times \frac{2\pi}{3}[/tex]

dy/dt = 20 x 2.16

dy/dt = 43.17 ft/s

Please help me!!! -50 + 2a if a = 2.5 write the meaning of each algebraic expression then evaluate it for the given value I have no idea what this means please help

Answers

Answer:

-45

Step-by-step explanation:

I think it means that you just solve it.

(PLEASE HELP) A red die is tossed and then a green die is tossed. What is the probability that the red die shows a number larger than three or the green die shows a number less than three? Make sure your answer is reduced.

Answers

Answer:

2/3

Step-by-step explanation:

Well, it supplied the formula, so let's start from there.

    P(A or B) = P(A) + P(B) - P(A and B)

Let A = the probability that the red die shows a number larger than three

Let B = the probability that the green die shows a number less than three

I'm assuming they both have 6 numbers on them, like a regular die.

    So there are 3 possibilities that are larger than 3 (4, 5, and 6) and 6 total possibilities, so A = 3/6.

    There are 2 possibilities that are less than 3 (1 and 2) and 6 total possibilities, so B = 2/6.

Plug that into the formula.

    P(A or B) = 3/6 + 2/6 - P(A and B)

Now we have to subtract the probability that both A and B happen, which is 3/6 * 2/6 = 6/36 = 1/6.

    P(A or B) = 3/6 + 2/6 - 1/6

    P(A or B) = 4/6 = 2/3


The ratio of wins to losses is 54 for a sports team If the team played 90 games,
how many games did the team win?

Answers

Answer:

40

Step-by-step explanation:

the measures of angles of a hexagon 4x,5x,6x,7x,8x,9x.calculate the size of the largest angle.

Answers

Answer:

166 2/13 deg

Step-by-step explanation:

The sum of the measures of the interior angles of a convex polygon of n sides is 180(n - 2).

A hexagon has 6 sides, so n = 6.

sum of measures of angles = 180(n - 2) = 180(6 - 2) = 180(4) = 720

4x + 5x + 6x + 7x + 8x + 9x = 720

39x = 720

x = 720/39

x = 240/13

The largest angle has measure 9x.

9x = 9 * 240/13 = 2160/13

2160/13 = 166 2/13

Answer: 166 2/13 deg

Suppose you flip a coin and spin a spinner that is divided into 8 equal regions. Of the 8 equal regions, 3 are red, 4 are black and 1 green. What is the probability of "tails" on the coin, and the spinner landing on red?
 (Hint: How many spaces are on the spinner total?)Immersive Reader
(5 Points)

Answers

Answer:

18.75%

Step-by-step explanation:

The probability of the coin is 1/2, because it only has two options (tail or head).

Now, in the case of roulette, it has a total of 8 options, and the red region has 3 parts, that is, of the 8 options, roulette 3 is red, therefore the probability is 3/8

Now the final probability is the multiplication of the probability of both events:

(1/2) * (3/8) = 0.1875 s 18.75%

In other words, the probability of these two events happening, that the tail comes out and is red, i

What is the image of (6,−3) after a dilation by a scale factor of 1/3 centered at the origin?

Answers

Answer:

(2,-1)

Step-by-step explanation:

Multiply everything by 1/3:

6*1/3=2

-3*1/3=-1

This makes it smaller, so you know what the dilation is.

Answer:

first person is correct

Step-by-step explanation:

A researcher believes that headaches can be relieved by drinking water flavored by
mint leaves. So the researcher asks a group at the hospital to participate in a study
in which the researcher gives half of the participants in the study just plain water and
half the water flavored by mint leaves to compare the two groups.
A.Experimental Study
B.Observational Study
C.Simulation Study

Answers

Answer: A. Experimental Study

Suppose a city with population 300 comma 000 has been growing at a rate of 3​% per year. If this rate​ continues, find the population of this city in 13 years.

Answers

Answer:

The population of this city in 13 years is 440,550.

Step-by-step explanation:

Given:

Suppose a city with population 300, 000 has been growing at a rate of 3​% per year.

Now, to find the population of this city in 13 years.

Let the population of this city in 13 years be [tex]A.[/tex]

Population ([tex]P[/tex]) = 300,000.

Rate per year ([tex]r[/tex]) = 3%.

Time ([tex]t[/tex]) = 13 years.

Now, we put formula to get the population of the city in 13 years:

[tex]A=P(1+r)^t\\\\A=300,000(1+3\%)^{13}\\\\A=300,000(1+0.03)^{13}\\\\A=300,000(1.03)^{13}\\\\A=300,000\times 1.4685\\\\A=440,550.[/tex]

Therefore, the population of this city in 13 years is 440,550.

Do most students walk, bike, or bus to school?
Most students to school.
If 100 students were surveyed, how many students
walk to school each day?
students

Answers

Answer:

Most students ride the bus since the pie chart section is biggest at the bus section.

23 people walking / 100 people is 23% and 23% of 100 is 23 people.

Step-by-step explanation:

Answer:

Do most students walk, bike, or bus to school?

Most students

✔ bus to school.

If 100 students were surveyed, how many students walk to school each day?

✔ 23 students

Step-by-step explanation: I just did it, it's 100% correct!

Wayne exercised for 5/6 of an hour in the morning and 1/3 of an hour in the evening. How much more of an hour did Wayne spend exercising in the morning than in the evening?

Answers

Answer:

[tex]\frac{1}{2}[/tex] of an hour

Step-by-step explanation:

Given:

Wayne exercised for 5/6 of an hour in the morning and 1/3 of an hour in the evening

To find:

Additional hours spent by Wayne exercising in the morning than in the evening.

Solution:

Time spent by Wayne in the morning = [tex]\frac{5}{6}[/tex] of an hour

Time spent by Wayne in the evening = [tex]\frac{1}{3}[/tex] of an hour = [tex]\frac{2}{6}[/tex] of an hour

So, Wayne spends [tex]\frac{5}{6}-\frac{2}{6}=\frac{3}{6}=\frac{1}{2}[/tex] more in the morning than in the evening.

What single transformation was applied to triangle A to get Triangle B?​

Answers

Answer: can u help me with an equation then I will help you?

Step-by-step explanation:

Answer:

Dilation

Step-by-step explanation:

Dialation-A dilation is a transformation that produces an image that is the same shape as the original, but is a different size

The base area of a triangular pyramid is 22 square yards and the height of the pyramid is 15 yards. What is the volume of the triangular pyramid?

V = 1
3
Bh

Answers

Answer:

110 yd cubed

Step-by-step explanation:

The volume of a triangular pyramid is denoted by: [tex]V=\frac{1}{3} Bh[/tex] , where B is the base area and h is the height. We already know here that B = 22 and h = 15, so we can just plug in these values:

[tex]V=\frac{1}{3} *22*15=110[/tex]

Thus, the volume is 110 yards cubed.

Hope this helps!

Answer:

330

Step-by-step explanation:

Because the formula for volume is Base time height (BH) so the base was 22 and the height was 15 so you just multiply them

An experiment involves selecting a random sample of 256 middle managers for study. One item of interest is their annual income. The sample mean is computed to be $35,420. If the population standard deviation is $2,050, what is the standard error of the mean

Answers

Answer:

SE=$128.13

Step-by-step explanation:

-Given the sample mean is $34,250 and standard deviation is $2,050 with n=256:

-Standard error is calculated using the formula:

[tex]SE=\frac{s}{\sqrt{n}}[/tex]

Where s is the sample standard deviation.

#We substitute our values to solve for SE:

[tex]SE=\frac{s}{\sqrt{n}}\\\\=\frac{2050}{\sqrt{256}}\\\\=128.125\approx128.13[/tex]

Hence, the standard error is $128.13

does anyone have the rest of the test? Surface Area and Volume Unit Test????

Answers

Answer:

B) 112 cm²; 336 cm²

Step-by-step explanation:

The lateral area would be without the bases. In this case, the bases are the top and the bottom

Lateral Area

(2)(2.54)(8) = 40.64

(2)(2.54)(14) = 71.12

Add together and get 111.76 cm²

Surface Area

LA + Bases

Bases

(2)(14)(8) = 224

Add with lateral area and get 335.76 cm²

Find (if possible) the complement and supplement of each angle in degrees:
1. 60 degrees
2. 48 degrees
3. 97 degrees

Answers

Answer:

1. Compliment: 30 degrees. Supplement: 120 degrees.

2. Compliment: 42 degrees. Supplement: 132 degrees.

3. Compliment: None. Supplement: 83 degrees.

4n+ 0.24 = 15.76
contains decimals
step by step please

Answers

Answer:

3.88

1. Subtract both sides by 0.24:

4n + 0.24 = 15.76

     - 0.24   - 0.24

______________

4n            = 15.52

2. Divide by 4 on both sides to isolate 'n':

4n = 15.52

__    ____

4         4  

n = 3.88

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