Lena and Ras drive to work. Lena drives 24 miles in 1.5 hours. Ras drives 36 km in 1 hour 15 min. Work out the difference between their average speeds in km/h. 1 mile = 1.6 km

Answers

Answer 1

Answer:

Difference = 3.2 km/h

Step-by-step explanation:

Given that,

Lena drives 24 miles in 1.5 hours. Ras drives 36 km in 1 hour 15 min.

For average speed of Lena,

d = 24 miles = 38.4 km

t = 1.5 h

[tex]v=\dfrac{38.4}{1.5}= 25.6\ km/h[/tex]

For average speed of Ras,

d = 36 km

t = 1h 15 min = 1.25 h    

[tex]v=\dfrac{36}{1.25}=28.8\ km/h[/tex]

Difference = 28.8-25.6

= 3.2 km/h

So, the difference between their average speed is 3.2 km/hr.

Answer 2

Answer:

3.2 km/h

Step-by-step explanation:


Related Questions

Factor: x^3-2x^2-8x

1. (x-4)(x+2)
2. x(x+4)(x-2)
3. x(x-4)(x+2)
4. (x-4)(x^2+2x)

Answers

Answer:

x( x-4)(x+2)

Step-by-step explanation:

x^3-2x^2-8x

First factor out the greatest common factor x

x( x^2 -2x -8)

What 2 numbers multiply to -8 and add to -2

-4*2 = -8

-4+2 = -2

x( x-4)(x+2)



Write –0.38 as a fraction.

Answers

Answer:

-19/50

Step-by-step explanation:

Answer:

-19/50

Step-by-step explanation:

1) A book contains 192 pages. A boy reads x complete pages everyday.if he has not finished the book after 10days, find the highest possible value of x

Answers

9514 1404 393

Answer:

  19

Step-by-step explanation:

After x days, the boy will have read 10x. If this is less than 192, we have ...

  10x < 192

  x < 192/10

  x < 19.2

If x is an integer, the largest possible value x could have is 19.

Dean Halverson recently read that full-time college students study 20 hours each week. She decides to do a study at her university to see if there is evidence that students study an average of more than 20 hours each week. A random sample of 35 students were asked to keep a diary of their activities over a period of several weeks. It was found that the average number of hours that the 35 students studied each week was 21.1 hours. The sample standard deviation of 4.3 hours.
Find the p-value.
The p-value should be rounded to 4-decimal places.

Answers

Answer:

0.0698

Step-by-step explanation:

Given :

Population mean, μ = 20

Sample mean, xbar = 21.1

Sample standard deviation, s = 4.3

Sample size, n = 35

The hypothesis :

H0 : μ = 20

H0 : μ > 20

The test statistic :

(xbar - μ) ÷ (s/√(n))

T = (21.1 - 20) ÷ (4.3/√(35))

T = 1.1 ÷ 0.7268326

Test statistic = 1.513

Using the Pvalue calculator :

df = n - 1 = 35 - 1 = 34

Pvalue(1.513, 34) = 0.06976

Pvalue = 0.0698 (4 decimal places)

The p-value is 0.0698 if rounded to 4-decimal places.

It is given that students study an average of more than 20 hours each week and the random sample of 35 students was asked to keep a diary of their activities over a period of several weeks.

The average number of hours that the 35 students was 21.1 hours.

The sample standard deviation is 4.3 hours.

It is required to find the p-value.

What is the standard deviation?

It is defined as the measure of data dispersement, It gives an idea about how much is the data spread out.

We can test the hypothesis using the Z test, the formula for the Z-test is given below:

[tex]\rm Z= \frac{(x-u)}{\frac{S}{\sqrt{n} } }[/tex]

Where x is the sample mean

            u is the population mean

            s is the standard deviation

            n is the sample size.

The hypothesis are: H0 : μ = 20  V/s  H1 : μ > 20

We have x = 21.1

               u = 20

               s = 4.3

               n = 35

Putting these values in the above formula, we get:

[tex]\rm Z= \frac{(21.1-20)}{\frac{4.3}{\sqrt{35} } }\\\\\rm Z= \frac{(1.1)}{\frac{4.3}{\sqrt{35} } }\\\\[/tex]

Z = 1.513

difference or df = n -1 ⇒ 35-1 ⇒ 34

P-value at (1.513, 34) =  0.06976  (From the p-value calculator)

P-value = 0.0698 (Rounded to 4-decimal places)

Thus, the p-value is 0.0698 if rounded to 4-decimal places.

Learn more about the standard deviation here:

brainly.com/question/12402189

SOMEONE PLEASE HELP ME WITH THIS AND EXPLAIN EACH ONE AND HOW YOU DID IT PLEASE MY TEACHER SUCK AND ILL GIVE YOU BRAINLY IF U GET IT RIGHT!!!!

Answers

Answer:

a)

d)

Step-by-step explanation:

It's easiest to reduce each statement to its simplest form for comparison

Our test statement can be reduced by combining like terms

16x - 12 -24x + 4 = -8x - 8

this becomes our new gold standard

a) 4 + 16x - 12(1 + 2x)

apply the distributive property by multiplying terms in parenthesis by -12

4 + 16x - 12 - 24x

combine terms

-8x - 8     Yeaah, We have a winner as it exactly matches our gold standard.

b) 40x - 16 is already in simplest terms and does NOT match the gold standard.

c) 16x - 24x - 4 + 12

has the same cardinal values as the original, but differing signs, reducing gives -8x + 8

Not quite the same as a plus sign occurs where a negative exists in our gold standard.

d) -8x - 8  is already in simplest terms and exactly matches our gold standard. Yeah!

e) 10(1.6x - 1.2 - 2.4x + 4)

apply distributive property by multiplying each term in parenthesis by 10

16x - 12 - 24x + 40

combine like terms

-8x + 28 does NOT match our gold standard

Find m2 ABD.
A
D
40°
B
C

Answers

Answer:

40°

Step-by-step explanation:

m∠ABD = m∠DBC because they’re being split equally among m∠ABC

Therefore, m∠ABD = 40°

lvnununuunkmviodjoifmvujibg ibzf

r

Answers

Answer:

speaking giberish

Step-by-step explanation:

cos it is just a word that is rare

A hole the size of a photograph is cut from a red piece of paper to use in a picture frame. On a coordinate plane, 2 squares are shown. The photograph has points (negative 3, negative 2), (negative 2, 2), (2, 1), and (1, negative 3). The red paper has points (negative 4, 4), (4, 4), (4, negative 4), and (negative 4, negative 4). What is the area of the piece of red paper after the hole for the photograph has been cut? 17 square units 25 square units 39 square units 47 square units Mark this and return

Answers

Answer:

its d      47

Step-by-step explanation:

yep yep

Answer:

D: 47

Step-by-step explanation:

Edge 2022

Concord Company purchased a machine on July 1, 2021, for $29,400. Concord paid $210 in title fees and county property tax of $131 on the machine. In addition, Concord paid $525 shipping charges for delivery, and $499 was paid to a local contractor to build and wire a platform for the machine on the plant floor. The machine has an estimated useful life of 6 years with a salvage value of $3,150.

Answers

Answer:NONE

Step-by-step explanation:

No question asked

Digits to write five hundred seven billion,six hundred forty million,seven hundred forty-two thousand,seventy two

Answers

507,640,742,072 is the correct number for this statement! Hope this helped, make sure to give a brainliest if this was useful!

Identify the pair numbers

Answers

Answer:

D. 212 degrees Fahrenheit and 100 degrees Celsius.

Step-by-step explanation:

The boiling point of water in Celsius is 100.

The way to calculate Celsius to Fahrenheit:

F = (C × 9/5) + 32

So we plug in 100 for C.

F = (100 × 9/5) + 32

F = 180 + 32

F = 212

Therefore, the numbered pair is 212 degrees F and 100 degrees  C.

Hey can anyone help me solve this

Answers

Answer:

24

Step-by-step explanation:

Answer and Step-by-step explanation:

I think the answer is 48.

We should add the 12 and 4, then multiply by 3. The 16 times 3 is to get the original amount of candies. To check, we go through the process using the number 48.

48 times 1/3 is 16. 4 of them are given to the brother, which leaves us with 12 remaining candies.

#teamtrees #PAW (Plant And Water)

Find the slope of the line through the pair of points. (7.-10) and (-6, -3)​

Answers

Answer:

Fraction form: 7/-13

Decimal form:-0.53846153846154

At which times could Rory's phone have been plugged into the charger? Select three options.

Answers

Answer:

what three options bro where are the options

Answer:

9 hours, 11 hours, 19 hours.

Is this a function or not ?

Answers

Answer:

No, this is not a function as the curve is inappropriately drawn and the presence of variables is absent.

no it is not a function

Find the least common multiple of 14 and 22.

Answers

Answer:

154

Step-by-step explanation:

14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154,…

22: 22, 44, 66, 88, 110, 132, 154,…

The least common multiple is 154
The right answer is 154 hope this helped

How do you expand ln(1/49^k)

Answers

Answer:

There are a few rules that we can use here:

ln(a^x) = x*ln(a)

ln(a) - ln(b) = ln(a/b)

ln(1) = 0

So here we want to expand:

ln(1/49^k)

First we can use the second property to get:

ln(1/49^k) = ln(1) - ln(49^k)

using the third property, we have:

ln(1/49^k) = ln(1) - ln(49^k) = 0 - ln(49^k)

ln(1/49^k) =  - ln(49^k)

Now we can use the first property to get:

ln(1/49^k) =  - k*ln(49)

Now we can use the fact that:

49 = 7*7 = 7^2

then:

- k*ln(49) = -k*ln(7^2) = -2*k*ln(7)

So we have:

ln(1/49^k) = (-2*ln(7))*k

We can expand it anymore because this is a real number  "(-2*ln(7))" times a variable k.

Lainey is looking for a new apartment and her realtor keeps calling her with new listings. The calls only take a few minutes, but a few minutes here and there are really starting to add up. She's having trouble concentrating on her work. What should Lainey do? a) Tell her realtor she can only receive text messages O b) Limit the time spent on each call O c) Turn off her phone until she is on a break O di Call her realtor back when customers won't see her on the phone

Answers

a...cause she's having trouble concentrating,for her to work she needs to tell her realtor she can only receive text messages it enables her to know the process of the house hunt

What is the volume of this rectangular pyramid?

______ cubic feet

Answers

Answer:

Step-by-step explanation:

L =  4 ft

W  = 3 ft

H = 7 ft

volume = LWH/3 = 28 ft³

While organizing the magazines at the doctor's office, Camille put 12 magazines in the first pile, 15 magazines in the second pile, 18 magazines in the third pile, 21 magazines in the fourth pile, and 24 magazines in the fifth pile. If this pattern continues, how many magazines will Camille put in the sixth pile?

Answers

Answer:

27

Step-by-step explanation:

since you are adding 3 to the pile each time, on the 6th pile you would have 27 because 24 + 3 = 27

Joe is on the phone with a gardener who asked about the square feet of Joe’s back yard Joe counts 20 steps long and 40 steps wide with each step been about 3 feet about how many square feet is the back Yard

Answers

Answer:

The area of the yard is 7200 square feet.

Step-by-step explanation:

You just multiply your step count by 3. So 20 would be 60 and 40 would be 120. Multiply your results and you get 7200 square feet.

Solve for d.
d - 5
———- = -1
-3

Answers

Answer:

d = 8

Step-by-step explanation:

(d-5)/ -3 = -1

Multiply each side by -3

(d-5)/ -3 *-3 = -1*-3

d-5 = 3

Add 5 to each side

d-5+5 = 3+5

d = 8

Solve for x.

−4x + 60 < 72 OR 14x + 11 < −31

Choose 1 answer:

A) x < -3 or x > -3

B) x > -3

C) x <- 3

D) There are no solutions

E) All values of x are solutions

Answers

Answer:

A. x < -3 or x > -3

Step-by-step explanation:

Let's start with the equation -4x + 60 < 72.

-4x + 60 < 72

First using the order of operations, subtract 60 from both sides.

-4x + 60 - 60 < 72 - 60

- 4x < 12

Next we want to divide -4 from both sides to isolate the variable.

-4x/-4 < 12/-4

x > -3

When you divide a negative number, always make sure the change the sign.

Solve the next equation, 14x + 11 < -31, the same way we solved the last.

14x + 11 < -31

Subtract 11 from both sides.

14x + 11 - 11 < -31 -11

14x < -42

Divide 14 from both sides.

14x/14 < -42/14

x < -3

The equations have different signs.

A. x < -3 or x > -3

The cost, c, for mailing books is a function of the number of books, b. The
cost to mail books is $0.50 per book plus a $3.00 flat fee

Answers

Answer:

c = 3.00 + .50b

Step-by-step explanation:

The cost is the flat fee plus the cost per book times the number of books

c = 3.00 + .50b

assuming you’re looking for the function of the cost:

c = 0.5b + 3

b (number of books) is the slope
3 (the flat fee) is the y-intercept

hope this helps!

find the value of trigonometric ratio ​

Answers

The angle at the left=180-90-59=31
So for this I use sin rule
28/sin90=X/sin31
x=28sin31/sin90
x=14.4(nearest tenth)

what is the answer for this question?
1. Dayne has three investment portfolios: A, B and C. Portfolios A, B and C together are worth a total of $175000, portfolios A and B together are worth a total of $143000, while portfolios A and C together are worth a total of $139000.
Use Cramer’s Rule to find the value of each portfolio.

Answers

Answer:

The correct answer is:

Portfolio A = $107,000

Portfolio B = $36,000

Portfolio C = $32,000

Step-by-step explanation:

According to the question,

[tex]A+B+C=175000[/tex]...(1)

[tex]A+B = 143000[/tex]...(2)

[tex]A+C=139000[/tex]...(3)

Now,

From (1) and (2), we get

⇒ [tex]Portfolio \ C = (1)-(2)[/tex]

                        [tex]=175000-143000[/tex]

                        [tex]=32000[/tex]...(4)

From (1) and (3), we get

⇒ [tex]Portfolio \ B =(1)-(3)[/tex]

                        [tex]=175000-139000[/tex]

                        [tex]=36000[/tex]...(5)

From (1), (4) and (5), we get

⇒ [tex]Portfolio \ A = (1)-(4+5)[/tex]

                        [tex]=175000-(36000+32000)[/tex]

                        [tex]=175000-68000[/tex]

                        [tex]=107000[/tex]  

                 

Thus the above is the correct answer.

In a recent survey for an upcoming city mayoral election, people were asked to name the political party they identified with and also the
the candidate they were going to vote for.
• Of the 150 people who identified themselves as Democrats, 133 said they would vote for the Democratic candidate. The rest said to
vote for the Republican.
. Of the 160 people who identified themselves as Republican, 142 said they would vote for the Republican candidate. The rest said ti
vote for the Democrat.
Complete the two-way frequency table for this situation.
B I u X
x
Font Sizes
A
А
E E 3 E3
Identify Party
Democrat Republican Total
Democratic
Voted
Republican
Total
Characters used: 89 / 15000
Submit

Answers

This question is solved using relative frequency concepts, finding the following two way frequency table, with the - separating the values:

0.4290 - 0.0540 - 0.4839

0.0581 - 0.4581 - 0.5161

0.4871 - 0.5121 - 1

-------------------------------------------------------------------------------

Relative frequency:

The relative frequency of a to b is given by a divided by b.

-------------------------------------------------------------------------------

Democratic:

Total of 150 + 160 = 310 voters.

Of the 150 Democrats, 133 voted for the Democrat and 150 - 133 = 17 voted for the Republican.

The frequencies are:

[tex]\frac{133}{310} = 0.4290, \frac{17}{310} = 0.0548[/tex]

Proportion of democratic voters is:

[tex]\frac{150}{310} = 0.4839[/tex]

Thus, the first line is: 0.4290 - 0.0540 - 0.4839

-------------------------------------------------------------------------------

Republican:

Of the 160 Republicans, 142 voted for the Republican and 160 - 142 = 18 voted for the Democrat.

The frequencies are:

[tex]\frac{18}{310} = 0.0581, \frac{142}{310} = 0.4581[/tex]

The proportion of republican voters is:

[tex]\frac{160}{310} = 0.5161[/tex]

Thus, the second line is: 0.0581 - 0.4581 - 0.5161

-------------------------------------------------------------------------------

Third line:

0.4290 + 0.0581 = 0.4871

0.0540 + 0.4581 = 0.5121

0.4839 + 0.5161 = 1

Thus, the third line is: 0.4871 - 0.5121 - 1

-------------------------------------------------------------------------------

Two-way frequency table:

The two-way frequency table is:

0.4290 - 0.0540 - 0.4839

0.0581 - 0.4581 - 0.5161

0.4871 - 0.5121 - 1

A similar question is given at: https://brainly.com/question/24337228

Answer:

Democratic 133 18 151

Republican 17 142 159

Total        150 160 310

Step-by-step explanation:

Simplify the expression. Express your answer as an improper fraction in simplest form.

Answers

Answer:

Step-by-step explanation:

3/40 is the correct answer

How do I solve this?

Answers

The question is somewhat poorly posed because the equation doesn't involve θ at all. I assume the author meant to use x.

sec(x) = csc(x)

By definition of secant and cosecant,

1/cos(x) = 1/sin(x)

Multiply both sides by sin(x) :

sin(x)/cos(x) = sin(x)/sin(x)

As long as sin(x) ≠ 0, this reduces to

sin(x)/cos(x) = 1

By definition of tangent,

tan(x) = 1

Solve for x :

x = arctan(1) +

x = π/4 +

(where n is any integer)

In the interval 0 ≤ x ≤ 2π, you get 2 solutions when n = 0 and n = 1 of

x = π/4   or   x = 5π/4

Simplify the given equation.
6 - (3x+10) + 4(2 - x) = 15
O 4-7 x = 15
O4 - 4 x= 15
O 12 - 7 x= 15

Answers

Answer:

-7x-11

Step-by-step explanation:

expand brackets

6-3x-10+8-4x=15

4-7x=15

move 15 to left side

-7x-11

Answer:

4-7x=15

Step-by-step explanation:

[tex]6 - (3x + 10) + 4(2 - x) = 15 \\ 6- 3x - 10 + 8 - 4x = 15 \\ - 7x = 15 + 10 - 8 - 6\\ - 7x = 11 \\ the \: same \: one \: is \\ 4 - 7x = 15[/tex]

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