Anna drives 45 km to work each day.
One day she drives the first 25 km at an average speed of 82 km/h. She takes 36 minutes to drive the remaining distance.
Calculate her average speed, in km/h, for the whole journey.

Answers

Answer 1

Answer:

Anna drove at an average speed of 49.73 km/h

Step-by-step explanation:

Average Speed

If an object moves at different speeds to cover a certain total distance dt in a total time tt, the average speed is:

[tex]\displaystyle \bar v=\frac{d_t}{t_t}[/tex]

Anna drives a total distance of dt=45 km each day. One day she drives a distance of d1=25 km at v1=82 Km/h. The time taken for that distance is:

[tex]\displaystyle t_1=\frac{d_1}{v_1}=\frac{25}{82}=0.3049\ h[/tex]

She takes t2=36 minutes to drive the remaining distance. 36 minutes is 36/60=0.6 h, thus the total time is:

[tex]t_t=0.3049\ h+0.6\ h=0.9049\ h[/tex]

The average speed is:

[tex]\displaystyle \bar v=\frac{45}{0.9049}=49.73\ km/h[/tex]

Anna drove at an average speed of 49.73 km/h


Related Questions

A veterinarian is interested in the average number of pets her clients own. Over the course of a month, she questions each client she meets with and records their responses. The veterinarian calculates the average and draws a conclusion from her data.

What kind of statistical study did the veterinarian conduct?

A.
theoretical study
B.
survey
C.
experiment
D.
observational study

Answers

I’m pretty sure the answer is B. survey.

Answer:b

Step-by-step explanation:

Plato

Braniliest
Which number is in the solution set of the inequality x > 25?

A) 16
B) 19
C) 22
D) 28

Answers

Answer:

D. 28

Step-by-step explanation:

This answer is it because 28 is greater than 25.

what is the best decimal equivlanet to 3 9 100

Answers

Hey there!

“What is the best decimal equivalent to 3 9/100?”

3(100) + 9

3(100) = 300

300 + 9 = 309 ⬅️ solving for your numerator

100 ÷ 1 = 100 ⬅️ solving for your denominator

309 / 100 ➡️ 309 ÷ 100 = 3.09

Thus your answer is: 3.09 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

im sorry for asking questions but i suck at math :/

Answers

A. 1 pair of corresponding points are N and L or you could use S and H.

but i do not know the question B sorry.

Matt Ali deposited $25,000 in a savings account. The account earns 5.5 percent interest compounded daily. Use the formula “ Amount of $1.00 at 5.5 Percent compounded Daily”. A). What amount will he have in his account 28 later ? B.) How much will be compound interest ?

Answers

Answer:

A) Amount = $ 116,601.31

B) Compound Interest = $ 91,601.31

Step-by-step explanation:

Compound interest Formula

A = P(1 + r/n)^nt

Where

P = Initial amount invested = $25,000

r = interest rate = 5.5 %

n = Compounding frequency = daily

t = time in years = 28 years

A). What amount will he have in his account 28 years later ?

First, convert R percent to r a decimal

r = R/100

r = 5.5%/100

r = 0.055 per year,

Then, solve our equation for A

A = P(1 + r/n)^nt

A = 25,000.00(1 + 0.000150685/365)^(365)(28)

A = $ 116,601.31

B.) How much will be compound interest ?

I = Amount - Principal

A(Amount ) = $ 116,601.31

P (principal) = $ 25,000.00

I = $ 116,601.31 - $ 25,000.00

I (interest) = $ 91,601.31

HELP NEEDED ASAP PLEASE!

Answers

Answer:

I think its C

Step-by-step explanation:

the last circle or c

PLEASE HELP!!!!!!!!!!!!!!!!!!

Answers

Sorry I’m not good at this

Answer:

I hope this helps :)        

Find the distance between the points (-4, 10) and (-4, -8).


Answers

Answer:

18 units

Step-by-step explanation:

(-4 , 10) and (-4, -8)

Distance = [tex]\sqrt{(x_{2}+x_{1})^{2}+(y_{2}-y_{1})^{2}}\\[/tex]

              [tex]= \sqrt{(-4-[-4])^{2}+(-8-10)^{2}}\\\\= \sqrt{(-4+4)^{2}+(-18)^{2}}\\\\=\sqrt{0 + 324}\\\\=\sqrt{324}\\\\= 18[/tex]

What’s da answerrr ?..

Answers

Answer:

It is half as much. urysukdhwjx8hdjdhvndkduc

Half as much blablablabalabajsjjfhbf

Two stores sell the same refrigerator for the same original price. Store A advertises that the refrigerator is on sale for 15% off the original price. Store B advertises that it is reducing the refrigerator’s price by $150. When Stephanie compares the sale prices of the refrigerator in both stores, she concludes that the sale prices are equal. Let p represent the refrigerator’s original price. Which equation models this situation?

Answers

The correct answer is option A. Since store A is giving a discount of 15% on the original price i.e.$ p. Then, the price after discount will be equal to $ 0.85p . And, the second store B offers $150 less than the original price p i.e the price after reduction is $p-$150. Since both the proces after reduction are equal. Thus, $ 0.85p = $p-$150

please help me with this question

Answers

Answer:

B. 36

Step-by-step explanation:

The answer is b 36 bc if you count by 6 it’s not gonna be 41 ,31 or 26 so it has to be 36

HELP! HELP! HELP! IT IS DUE TODAY YOU WILL GET 100 POINTS JUST HELP!

Answers

Answer:

___Its the first option___

Answer:

A

Step-by-step explanation:

The square root of 16 is 4 and of 49 is 7. 4/7 is equivalent to the square root of 16/49.

please answer me fast ​

Answers

Answer:

Step-by-step explanation:

A bar chart is a graphical representation of data, showing the relationship between two variables in the form of bars. the height of each bar expresses the connection between the variables.

In the given question, plot the number of weeks given against the cost of living index so as to have a clear picture of the relationship between the variables.

The attachment to this answer shows the bar chart for the given data.

(100 POINTS PLUS BRAINIEST)

All is need is for you to measure 5 of a person’s left foot(in inches) and then measure the length (in inches) of that same person’s forearm

Please big rewards for you ever does it

Answers

Answer:

Check my explanation

Step-by-step explanation:

Okay. I measured my left foot and it's 11 inches. (5 of that is 55 inches.) My forearm is about 11 inches, too?

What is this even for? I have no clue, but it sounds interesting right off the bat.

Please help answer this I need to get this done

Answers

I think it is 3/4 I am not sure this one

p:-3x + 8x - 5x = x

q: (3x)(5y) = 15xy

Which of the following statements is false?

Answers

Answer: Statement p is false.

Step-by-step explanation:

In both cases, we need to isolate the variables:

p: -3*x + 8*x - 5*x = x

   (-3*x - 5*x) + 8*x = x

    -8x + 8*x = x

        0 = x

This will be true only for one value of x, so this is not always true, which means that the statement is false.

q: (3*x)*(5*y) = 15*x*y

let's solve the left side:

  3*x*5*y = 15*x*y

  (3*5)*(x*y) = 15*x*y

   15*x*y = 15*x*y

This is true for every value of x and y, then this statement is true.

372,998 round to the nearest tenth thousandths

Answers

Answer:

373.000

Step-by-step explanation:

From the given information:

Let classify each digit into their place numbers.

The figure given is:

372,998

8 - unit

9 - tens

9 - hundred

2 - thousand

7 - ten thousand

3 - hundred thousand

To round 372,998 to the tenth thousandths position, then we have a decimal in the ten thousand place.

Note: That when determining the tenth thousandth place, we don't have unit position so counting start with 8 as tenth.

i.e.

37.2998 ≅ 373.000

The perimeter of the triangle shown below is 37 centimeters. Find the value of x.
2r + 1
3x
2(x + 4)

Answers

Answer:

4

Step-by-step explanation:

Perimeter of triangle = 2x + 1 + 3x + 2(x + 4)

                                   = 2x + 1 + 3x + 2x + 8

                                   = 7x + 9

7x + 9 = 37

7x = 37 - 9

    = 28

x = 28 ÷ 7

x = 4

If all 3 drones have the same mass which one has the thr greatest acceleration?​

Answers

Answer:

We conclude that the red drown has the greater the acceleration.

Step-by-step explanation:

Given

Given that all 3 drones have the same mass.

To determine:

Which drone has the greatest acceleration

From the figure, it is clear that the red drown has a steeper slope. We know that the steeper the slope of the line the greater the acceleration.

It is also visible the red drone has already covered 50 km in just 50 minutes speed, while the blue drone covered around 30 km in 50 minutes and the green drone is the slowest of all, covering less than 20 km in 50 minutes.

Therefore, we conclude that the red drown has the greater the acceleration.

Is 40/48 and 56/42 proportional

Answers

No

The first fraction is under 1 whole while the second fraction is over 1 whole.

40/48 and 1  14/42 is what this is equal to.

May I have brainliest please? :)

Answer:

No

Step-by-step explanation:

the two fractions go down to

40/48= 5/6

56/42= 8/7

So, No

please solve these two questions

Answers

Answer:

Question 4

Simplifying the expression [tex]\frac{x^2-10x-24}{x^2-3x-108}[/tex] we get [tex]\frac{x-2}{x-9}[/tex] and x≠9 or x≠2

Option D is correct option.

Question 5

Simplifying the expression: [tex]\frac{8x-16}{x^2-13x+22}[/tex] we get [tex]\frac{8}{x-11}, x\neq 11[/tex]

Option C is correct.

Step-by-step explanation:

Question 4

Simplify completely [tex]\frac{x^2-10x-24}{x^2-3x-108}[/tex]

For simplifying the above expression we have to find find factors of numerators and denominators

First finding factors of numerator [tex]x^2-10x-24[/tex]

[tex]x^2-10x-24\\ = x^2-12x+2x-24 \\= x(x-12)+2(x-12) \\=(x-12)(x-2)[/tex]

So, the factors of [tex]x^2-10x-24[/tex] are [tex](x-12)(x-2)[/tex]

Now finding factors of denominator [tex]x^2-3x-108[/tex]

[tex]x^2-3x-108\\=x^2-12x+9x-108\\=x(x-12)+9(x-12)\\=(x+9)(x-12)[/tex]

So, factors of [tex]x^2-3x-108 are (x-12)(x+9)[/tex]

Now, replacing numerators and denominators with their factors

[tex]\frac{x^2-10x-24}{x^2-3x-108}\\=\frac{(x-12)(x-2)}{(x+9)(x-12)}\\Cancelling\:(x-12) \: from\:numerator\:and\:denominator\\=\frac{x-2}{x-9}[/tex]

so, simplifying the expression [tex]\frac{x^2-10x-24}{x^2-3x-108}[/tex] we get [tex]\frac{x-2}{x-9}[/tex] and x≠9 or x≠2

Option D is correct option.

Question No 5

Simplify the expression: [tex]\frac{8x-16}{x^2-13x+22}[/tex]

For simplifying the above expression we have to find find factors of numerators and denominators

First finding factors of numerator [tex]8x-16[/tex]

Taking 8 common:

[tex]8x-16\\=8(x-2)[/tex]

So, factors of [tex]8x-16[/tex] are [tex]8(x-2)[/tex]

Now finding factors of denominator : [tex]x^2-13x+22[/tex]

[tex]x^2-13x+22\\=x^2-11x-2x+22\\=x(x-11)-2(x-11)\\=(x-2)(x-11)[/tex]

Now, replacing numerators and denominators with their factors

[tex]\frac{8x-16}{x^2-13x+22}\\=\frac{8(x-2)}{(x-11)(x-2)}\\Cancelling\:(x-2)\\=\frac{8}{x-11}, x\neq 11[/tex]

So, simplifying the expression: [tex]\frac{8x-16}{x^2-13x+22}[/tex] we get [tex]\frac{8}{x-11}, x\neq 11[/tex]

Option C is correct.

Pls help due at midnight

Answers

Answer:

8.77

Step-by-step explanation:

Answer:

I believe the answer is A) $8.77

step1) multiply the cost of peaches oer pound by 18.4

step2) add the cost for the peaches to the cost for the pineapple

step3)divide the cost by 4

I need your help please 4x−2≤18

Answers

Answer:

x ≤ 5

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Step-by-step explanation:

Step 1: Define Inequality

4x - 2 ≤ 18

Step 2: Solve for x

Add 2 to both sides:                    4x ≤ 20Divide 4 on both sides:               x ≤ 5

Here we see that any value x smaller than or equal to 5 would work as a solution to the inequality.

Cassidy's diving platform is 6 ft above the water. One of her dives can
be modelled by the equation d = x2 - 7x + 6, where d is her position
relative to the surface of the water and x is her horizontal distance from
the platform. Both distances are measured in feet. How deep did Cassidy
go before coming back up to the surface?

Answers

Answer:

Before coming back up to the surface the maximum depth, Cassidy went was 6.25 ft. below the water surface

Step-by-step explanation:

The height of Cassidy's diving platform above the water = 6 ft.

The equation that models her dive is d = x² - 7·x + 6

Where;

d = Her vertical position or distance from the water surface

x = Here horizontal distance from the platform

At Cassidy's maximum depth, we have;

dd/dx = d(x² - 7·x + 6)/dx = 2·x - 7 = 0

x = 7/2 = 3.5

∴ At Cassidy's maximum depth, x = 3.5 ft.

The maximum depth, [tex]d_{max}[/tex] = d(3.5) = 3.5² - 7 × 3.5 + 6 = -6.25

The maximum depth, Cassidy went before coming back up to the surface = [tex]d_{max}[/tex] = -6.25 ft = 6.25 ft. below the surface of the water.

One number exceeds the other by 9 and their sum is 81. Find the
numbers.

Answers

Answer:

36, 45

Step-by-step explanation:

Using equations you get [tex]x + x+9=81[/tex] because one number is 9 more than the other and the sum is 81. Simplifying you get, [tex]2x = 72[/tex]. Divide both sides by 2 to get [tex]x=36[/tex]. Remember this is only x so to get the other number you have to add 9 to 36 to get 45 as the other number.

1.6 as an improper fraction in simplest form.

Answers

Answer:

Step-by-step explanation:

1+0.6

6/10 simplifed into 3/5

+1(which can be written anso as 5/5)

so 3/5 + 5/5 is 8/5 or         1 and 3/5

Jason puts 500$ in a savings account at an annnual interest rate of 3% if he does not put money in or take money out what is the interst he will get at the end of 8 months round up to the nerest cent

Answers

Answer:

$500.1

Step-by-step explanation:

Step one:

principal= $500

rate= 3%

time 8 months

Required

The  final amount

Step two;

simple interest= PRT/100

SI= (500*0.03*8/12)/100

SI=10/100

SI=0.1

The final amount is

Amount= 500+0.1

Amount= $500.1

helpppp, i don’t get thisss :,))

Answers

D 63 Bc each one is multiplied by 3 and 21 time 3 is 63 so d

Simply this plz ո • ո3

Answers

Answer:

Answer is n^4

Step-by-step explanation:

You add the exponent when they are multiplying and have the same base

Answer:

n^4

Step-by-step explanation:

n^3 just means nxnxn and now, you are going to multiply that by another n. So it will become nxnxnxn which is essentially just n^4. Also, you should keep in mind that when you multiply a number by another number that has exponents in it but has the same base, you can just add their exponents. For example, n is actually just n^1 and when you multiply it by n^3 you can just add the one and the three to get 4. Which will give you n^4. Another example is if you have 6^5 multiplied by 6^3, you can just add the exponents and put that on the base to get 6^8. This works because 6^5 is just (6x6x6x6x6) and 6^3 is just (6x6x6) and when you multiply all of them you get 6^8 (6x6x6x6x6x6x6x6) I hope the last part made sense. If it didn't, you can just use the nxnxnxn logic instead. The last part was a little hard from me to explain.

Help !!!! i don’t understand and its duee tomorrow

Answers

Answer:

73. 61 degrees

74. x= 31

75. 37 degrees

76. x=27

78. x=96 z=151 y=68

79. x= 66 y=z y and z =88

80. y =43 z=90 x = 71

81= x=95 y=51 z=39

83. g=49 h=117 j=49 m=55 k = 76

84= b=37 a=143 c=37 d=121 e=158 f=22 h=50 g=108

Step-by-step explanation: As far as I can go sorry

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