20 POINTS!
The time t required to drive a certain distance varies inversely with the speed r. If it takes 4 hours
to drive the distance at 50 miles per hour, how long will it take to drive the same distance at 40
miles per hour?

Answers

Answer 1

Answer:

1.78 hours

Step-by-step explanation:

If t varies inversely with the speed, the formula for that is  t= \frac{k}{r} .  If t = 2 and r = 40, then we can solve for k, the constant of variation.  Multiply both sides by 40 to get  k = 80.  Now we need to find the value for t when r = 45.  Using the k value we just solved for, we will fill in the equation as  t= \frac{80}{45}   for a t value of about 1.78 hours


Related Questions

Which expression is the result of factoring the expression below by taking out its greatest common factor?
4x^2+16x-4=?
Choose 1 answer:
A. 2x(2x^2+8x−2)
B. 2(2x^2+8x−2)
C. 4x(x^2+4x−1)
D. 4(x^2+4x−1)​

Answers

Step-by-step explanation:

[tex]{\huge{\boxed{\sf{{Hello \: mate (. ❛ ᴗ ❛.) }}}}} \\ \\ {\huge{\underline{\bf{\pink{answer \:✓✓}}}}} \\ \\ \\\blue{Equation = > 4x ^{2} + 16x - 4 } \\ \\\mathcal\blue{ = > greatest \: common \: factor \: is \: 4} \\ \\ {taking \: out \: 4 \: as \: common \: } \\ \\ \huge\mathfrak\red{we \: left \: with} \\ \\ {{\boxed{\sf{\green{D.) 4(x^2 + 4x-1) \:✓✓✓✓}}}}}[/tex]

Factorise fully 2a^2b + 6ab^2​

Answers

Answer:

Step-by-step explanation:

2a^2b + 6ab^2

take common

2 can be taken common because there is 2in first term and there is 6 in second term and 2 can exactly divide 6 .there is a*a in first term and only a in second term so u can take a as common.There is only b in first term and b*b in second term so take u can take b as common.

total we can take

2ab as common.So,

2ab(a+3b)

therefore 2ab(a+3b) is the required answer.

The required factorization is  2ab(a+3b).

What is factorization?

Factorization in mathematics is the process of dividing a large number into smaller ones that, when multiplied together, give you the original number. Factorization is the process of dividing a number into its components or divisors.

Expanding brackets in reverse is a procedure known as factorizing.

Fully factorizing an equation entails putting it in brackets by eliminating the components with the highest common denominator.

Finding the highest common factor between all the terms in the phrase is the easiest technique to factorize.

We have, 2a²b + 6ab²

Here,

we have the highest common factor 2ab,

So, 2ab (a + 3b)

Therefore, 2ab(a+3b) is the required factorization.

To learn more about the factorization;

https://brainly.com/question/28187946

#SPJ2

My sister is 18 years old. My brother says that his age multiplied by 3, less 12 is equal to my sister's age. How old is my brother?

Answers

Answer:

10

Step-by-step explanation:

10 x 3 = 30

30 - 12 = 18

3 x 3 = 9
9 x 2 = 18

Name the labelled points between A and C B and D B and E E and A

Answers

B C E B is the answer

Given the following information, determine which lines are parallel and what justifies them being parallel.

Answers

Answers:

Blank 1 = p and q

Blank 2 = Consecutive interior angles converse

=================================================

Explanation:

There's a lot of visual noise here, meaning there's a lot of lines and angles to potentially distract. I recommend redrawing things but only drawing lines p and q, and the transversal cut line t. Furthermore, I would mark only angle 8 and angle 13. See the diagram below.

The diagram is optional, but hopefully you can see that the angles are same side interior angles, aka consecutive interior angles. That's why we go with the consecutive interior angles converse

If we drop the "converse" portion, then that theorem says parallel lines lead to supplementary consecutive interior angles. The converse just reverses the flow of the logic.

how do you give BRAINLYIST for mathematics

Answers

You have to wait until 2 people answer the question and then go back to your question and there will be a button above both answers saying “mark as brainliest” and the click the button that’s above the answer that you want to mark

Answer:

To give brainliest, you have to choose between one of the two answers to your question, whichever answer you want to give brainliest to. There will be a crown symbol at the top right of the answer I think and by clicking that, you will be giving brainliest to an answer for your question.

Step-by-step explanation:

Hope this helps

Which fraction is equal to 0.13?

Answers

Answer:

13/100

Step-by-step explanation:

0.13 = 13/100

if you need more examples, 26/200, 39/300, 52/400 is all equal to 0.13 as well.

6th grade math help me pleaseee

Answers

Answer:

$0.27

However answered below me is correct. I divided backwards.

My apologies. It is 5am here locally and I've been up doing math for too many hours.

Unit price = Total cost divided by quantity

Unit price = 1.91 ÷ 7= 0.2728571429

rounded to the nearest cent $0.27

Answer:

27 cents

Step-by-step explanation:

Can any help me 10 points!!!!!! Its to pass math

Answers

Answer:

Option 4

Step-by-step explanation:

3x(x+2)-4(x+2)

(3x-4)(x+2)

3x²+6x-4x-8

3x²+2x-8

Brainliest please

Answer:

(x + 2)(3x - 4)

3x^2 + 2x - 8

Step-by-step explanation:

Factor out x + 2.

You get: (x + 2)(3x - 4)

Now multiply it out:

(x + 2)(3x - 4) = 3x^2 - 4x + 6x - 8 = 3x^2 + 2x - 8

josh started reading at 8:18 and stoppted reading at 8:57 how many minutes did he read

Answers

Answer:

Step-by-step explanation:

41 minutes

He finished reading at 8:57 AM. How many minutes did he read? >) 41 minutes.

can i get brainlyest thx

Answer:

He read for 39 minutes

Step-by-step explanation:

You just subtract 57 - 18

i require help lol so help me pleasw

Answers

Answer/Step-by-step explanation:

Mean is a measure of center tendency which can be said to be the average value of a set of data. It can be referred to as the commonest value in a data set. It is the sum of all data values in a given set divided by the number of values.

For example, a test score for a class of 5 is given as 5, 6, 2, 4, 7

The mean = sum of all values/number of data values

= (5 + 6 + 2 + 4 + 7)/5

= 24/5

Mean = 4.8

Conner Solved 2 math problems in 5 minutes. Atthis rate, how long will it take Conner to solve 10 math problems?

Answers

Answer:

25 minutes Will take him to complete the problem if the rate is same

Answer:

25 minutes

Step-by-step explanation:

Divide 10 by 2 and get 5.

Multiply 5 by 5 and get 25.

Pls notify me if my answer is incorrect, for the other users that will see this response.

-kiniwih426

For $155.50, a cosmetician buys 7 L of moisturizer and repackages it in 250-milliliter jars. Each jar costs the cosmetician $0.50. Each jar of moisturizer is sold for $8.95. Find the profit on the 7 L of moisturizer.

Answers

Answer:

$81.10

Step-by-step explanation:

Profit = total revenue - total cost

1 liter = 1000 mm

7 liter = 7000 mm

Number of jars needed = 7000 / 250 = 28

total revenue = number of jars sold x price per jar

28 x  $8.95 = 250.60

Total cost = $155.50 + (0.5 x 28) = 169.50

Profit = 250.60 -  169.50 = 81.10

Help I need an answer asap

Answers

Answer:

6

Step-by-step explanation:

To find how many perennials there are, multiply the amount of plants by the percent of perennials. When you multiply percents, just put the percent behind the decimal

60x0.35=21

There are 21 perennials

Do the same for the biennials:

60x0.25=15

Therefore 15 biennials

Subtract the amount of perennials from the amount of biennials

21-15=6

There is 6 more perennials than biennials

Answer:

the answer is 6

21-15=6

Step-by-step explanation.

35% of 60 = 21 for perenalis

25% of 60 = 15 for biennials

40% of 60 = 24 for annuals

universal set={members of an expedition to the South pole},A={people born in Africa},C={people born in China},F={females} Amber intersect A union C What can we say about Amber?​

Answers

Answer:

Amber is fossilized tree resin that has been appreciated for its color and natural beauty since Neolithic times. ... There are five classes of amber, defined on the basis of their chemical constituents. Because it originates as a soft, sticky tree resin, amber sometimes contains animal and plant material as inclusions.

What's The actual length of UV (round to 3 decimal places) ?

Answers

Answer:

7.463 cm

Step-by-step explanation:

Use the pythagorean theorem (a^2 + b^2 = c^2) to find the side length of UV.

a^2 + b^2 = c^2

6.1^2 + 4.3^2 = 55.2

Then square root 55.2, which is 7.463 cm

f(x) =2x+1 and g(x)=x²-7, find (f-g) (x)
help!! ​

Answers

Answer:

(f-g)(x)=2x+1-x^2+7

=2x-x^2+8

=-(x^2-2x-8)

=-(x^2-4x+2x-8)

=-{x(x-4)+2(x-4)}

=-(x+2)(x-4)

Simplify -2x^3y x xy^2

A

Answers

Answer:

your selected answers is right as when there you multiple u add the power.

2.
a) Expand: a² - b²​

Answers

Answer:

Step-by-step explanation:

a^2-b^2

(a-b)(a+b)

Answer:

[tex](a-b)(a+b)[/tex]

Step-by-step explanation:

This particular pattern: [tex]a^2-b^2[/tex]; is the difference of squares pattern.

Difference of Squares Pattern: [tex](a-b)(a+b)=a^2-b^2[/tex]

There are other square of binomial patterns (though the difference of squares pattern isn't really a square of binomial, I learned these three at the same time)

[tex](a+b)^2=a^2+2ab+b^2[/tex]

[tex](a-b)^2=a^2-2ab+b^2[/tex]

PLEASE PLEASE HELP ME!!! I KEEP GETTING SPAMMED AND I JUST WANT HELP

THANK YOU

EXPLANATION = BRAINLIEST

The area of the triangle is 400 square cm.

The base is ___ cm.

Answers

Answer:

25 cm

Step-by-step explanation:

hope it helps.....

Answer:

25 cm

Step-by-step explanation:

Use Algebra:

Area of a triangle is  [tex]A = \frac{1}{2} bh[/tex]  

[tex]\frac{1}{2}b[/tex] × 32 = 400

[tex]\frac{1}{2}b[/tex] = 12.5

[tex]b = 25 cm[/tex]

round the nearest whole number

Answers

Answer:

234.5678

Step-by-step explanation:

When rounding to the nearest whole number if the first number after the decimal point if it is 5 it stays the same, if it is less than 5 ; 1,2,3,4 you round down, larger than 5; 6,7,8,9 you round up.

Answer:

29

Step-by-step explanation:

if u put 234.56 divided by 8 into a calculator, you get 29.32

H. E. L. P. ???!!!!!!​

Answers

Answer:

C

Step-by-step explanation:

sin x= CB/CA =4/8

......

In the triangle above a = 12 and c = 26. Find the value of b to the nearest hundredth.

Answers

23.07 is the answer

If XYZ congruent to DEF the what corresponding angle is congruent to angle x (enter your answer using the angle letter only)

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

XYZ is congruent to DEF so:

X = D

Y = E

Z = F

Today,high tide measured 5.5 ft and low tide measured 1 ft. What is the amplitude of a cosine function modeling the depth of the water in feet as a function of time in hours

Answers

Answer:

[tex]A = 2.25ft[/tex]

Step-by-step explanation:

Given

[tex]High = 5.5ft[/tex]

[tex]Low = 1ft[/tex]

Required

The amplitude (A)

This is calculated as:

[tex]A = \frac{1}{2}(High - Low)[/tex]

So, we have:

[tex]A = \frac{1}{2}(5.5ft - 1ft)[/tex]

[tex]A = \frac{1}{2} * 4.5ft[/tex]

[tex]A = 2.25ft[/tex]

Solve the equation. 2e - 2 what does e equal

Answers

When solving for a variable, you undo everything that is being done to the variable. In this case, the variable e is being multiplied by 2. We can reverse the multiplication operation by dividing the whole equation by 2. So, e is equal to 1.

simplify the expression below. Express the simplified expression in standard form (12s^4-6s^2+4s)+(6s^4-4s+27)-(4s^4+s^2+12)

Answers

Answer:   14s^4 - 7s^2 + 15

====================================================

Work Shown:

(12s^4-6s^2+4s)+(6s^4-4s+27)-(4s^4+s^2+12)

12s^4-6s^2+4s+6s^4-4s+27-4s^4-s^2-12

(12s^4+6s^4-4s^4)+(-6s^2-s^2)+(4s-4s)+(27-12)

14s^4-7s^2+0s+15

14s^4-7s^2+15

Note: don't forget to distribute the negative to every term in the last parenthesis

Given 4x2 – 7x = -3, what are the solutions??

Answers

Step-by-step explanation:

4*2-7x=-3

8-7x=-3

-7x=-3-8

-7x=-11

x=-11/-7

x=1.5714...

Answer:

x = {3/4, 1}

Step-by-step explanation:

4x² - 7x = -34x² - 7x + 3 = 04x² - 4x - 3x + 3 = 04x(x - 1) - 3(x - 1) = 0(x - 1)(4x - 3) = 0x - 1 = 0    |  4x - 3 = 0x = 1          |  x = 3/4

Find the length of TU.​

Answers

Answer:

0.5 (8x+15)?

Step-by-step explanation:

i really hope this helps-

not the greatest at math ._.

Step-by-step explanation:

I hope ill help you.

TU(4x+7.5)

Louis bought 16 cookies at the bakery. He had a
coupon for $7 off his entire purchase. He ended up
paying $13.32. Write an equation to find how much
each cookie originally cost.
16c-[?] = []

Answers

Answer:

16c - 7 = 13.32

Step-by-step explanation:

The cost of 16 cookies minus the coupon equal how much he paid

16c - 7 = 13.32

Answer:

16c - 7 = 13.32

Step-by-step explanation:

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