michael is driving to his mother house after 1 hour and 45 minutes he is two-thirds of the way there At this rate how many total hours will it take michael to drive hsi mothers hosue

Answers

Answer 1

Using proportions, it is found that it will take Michael 2.625 hours to drive to his mother's house.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In 1 hour and 45 minutes, which is equivalent in hours to [tex]1 + \frac{3}{4} = \frac{7}{4}[/tex], he is two-thirds of the way. How long it takes him to reach 100% = 1 of the way? The rule of three is given by:

[tex]\frac{7}{4}[/tex] hours - [tex]\frac{2}{3}[/tex] way.

x hours - 1 way

Applying cross multiplication:

[tex]\frac{2}{3}x = \frac{7}{4}[/tex]

[tex]2x = \frac{21}{4}[/tex]

[tex]x = \frac{21}{8}[/tex]

x = 2.625.

It will take Michael 2.625 hours to drive to his mother's house.

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Related Questions

Gerard has 365 baseball cards he puts as many of them into piles of 100 how many piles of 100 does he make

Answers

Answer would be 3. 365 / 100 = 3.65, however this is reality math and you cannot have fractional piles. Therefore, 3.

A path is made of red tiles and blue tiles.
1/5 of the tiles are red.
a) Write down the ratio of red tiles to blue tiles in its simplest form.

Answers

Answer:

The ratio of red tiles to blue tiles is 1 to 4.

Step-by-step explanation:

Since 1/5 of the tiles are red, 4/5 of the tiles are blue, giving the ratio of red tiles to blue tiles as 1 to 4.

Need help with solving for X

Answers

Answer:

[tex]\huge\boxed{\sf x = 10}[/tex]

Step-by-step explanation:

Since the two angles are complementary angles, the measures of these angles add up to 90 degrees.

5x + 25 + x + 5 = 90

5x + x + 25 + 5 = 90

6x + 30 = 90

Subtract 30 to both sides

6x = 90 - 30

6x = 60

Divide 6 to both sides

x = 60 / 6

x = 10

[tex]\rule[225]{225}{2}[/tex]

How can you find percents

Answers

Answer:

To find the percentage of a number when it is in decimal form, you just need to multiply the decimal number by 100. For example, to convert 0.5 to a percentage, 0.5 x 100 = 50%. The second case involves a fraction. If the given number is in fractional form, first convert it to a decimal value and multiply by 100.

Step-by-step explanation:

. For example, to convert 0.5 to a percentage, 0.5 x 100 = 50%

hope this will help

5. A rectangle has an area of 16 cm². Do you know its length?

Answers

Answer:

144 [tex]cm^2[/tex]

Step-by-step explanation:

Answer:the answer were to your question is 4

Step-by-step explanation:

Put me on brainlyiest pls

A clock cog rotates 150 degrees in 20 minutes. How far will far will the same cog rotate in 70 minutes

Answers

Answer:

525 degrees

Step-by-step explanation:

I think it’s 450
I am not sure but yeah ;)

Which is an equation of the line containing the points (4, 6) and (6, 10) in standard form?
A. −2x+y=−2

B. 2x−y=−2

C. −2x−y=−22

D. −2x+y=−8

please show step by step

Answers

Answer:

A. −2x+y=−2

Step-by-step explanation:

Which of these numbers is a solution of the inequality 3x>18?

Answers

hello!

Let's solve this inequality:-

3x<18

Divide both sides by 3:-

x<6

So numbers less than 6 will make this inequality [tex]\sf{true}[/tex].

notes:-

You haven't listed any numbers, so I don't know what options you have,

Please list the numbers in the comments & I will edit my answer :)

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

The possible answers are all numbers above 6.

Step-by-step explanation:

3x>18

3x/3> 18/3

x> 6

Which function has the given properties below? the domain is the set of all real numbers. one x-intercept is (startfraction pi over 2 endfraction, 0 endfraction). the maximum value is 3. the y-intercept is (0, –3). y = –3sin(x) y = –3cos(x) y = 3sin(x) y = 3cos(x)

Answers

The required function with maximum value 3 and x and y-intercepts π/2 and 3 respectively is y=-3cos(x)

What is a function?

A function is a rule that relates two variables.

Let us check the x-intercept, y-intercept, and maximum value for each function.

1)y =-3Sin(x)

for x-intercept put y=0

0 = -3Sin(x)

Sin(x) =0

x=0

for y-intercept put x=0

y=-3Sin0

y=0

The maximum value of the given function =the lower limit of the range of -3Sin(x) i.e. 3

Similarly, for y = -3cos(x)

x-intercept =π/2

y-intercept = 3

Maximum value of function = lower limit  of the range of  3cos(x) i.e. 3

Therefore, the required function with maximum value 3 and x and y-intercepts π/2 and 3 respectively is y=-3cos(x)

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Answer:

B.    y = –3cos(x)

Step-by-step explanation:

Im extremely sure, have a great day

Use a ladder method to write 48 and 180 as a product of their prime factors?​

Answers

Factors of 48 are :2,2,2,2,&3. Factors of 180:2,2,3,3,&5.

Ram is 3 years younger than Shyam and Krishna is 5 years older than Shyam . If the product of percentages of Ram and Krishna is 48, How old is Shyam?​

Answers

Answer:

Shyam would be 43 years old

Step-by-step explanation:

Ram is 49 years old, since she is 3 years younger than Shyam and Krishna is 48 years old than Shyam

A tank in the shape of a hemisphere has a radius of 7 feet. if the liquid that fills the tank has a density of 93 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?

Answers

The total weight of the liquid that filled the hemispheric tank to the nearest full pounds is 66775 pounds.

What is the volume of an hemisphere?

An hemisphere is half of a sphere. Therefore,

volume = 2 / 3 πr³

where,

r = radius

Therefore,

r = 7 feet

volume = 2 / 3 × 3.14 × 7³

volume = 2 / 3 × 3.14 × 343

volume = 2154.04 / 3

volume = 718.013333333

volume = 718.013

Therefore,

density = mass / volume

93 =  mass / 718.013

mass = 718.013 × 93

mass = 66775.24

mass ≈ 66775 pounds

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The sixth-grade students at Madison Middle School had a walkathon to raise money for their

local hospital. Their principal tracked how much money each student raised. This box plot

shows the results.

Money raised ($)

20

40

60

80

100

120

What percent of the students raised more than $40?

%

Answers

50% of the sixth-grade students at Madison Middle School raised more than $40

What is a box plot?

A box plot provides the summary of a data using the five number summary that is minimum, lower quartile, median, upper quartile and maximum.

From the diagram, the median is $40. Hence 50% of the student raised more than $40

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1. 4 A box contains 300 discs of different colours. There are 100 pink discs, 100 blue discs and 100 orange discs. The discs of each colour are numbered from 0 to 99. Five discs are selected at random, one at a time, with replacement. Find


(i) the probability that no orange discs are selected. [3]


(ii) the probability that exactly 2 discs with numbers ending in a 6 are selected. [4]


(iii) the probability that exactly 2 orange discs with numbers ending in a 6 are selected. [4]


(iv) the mean and variance of the number of pink discs selected. [8]


1. 5 The mean number of defective batteries in packs of 20 is 1. 6. Use a binomial distribution to calculate the probability that a randomly chosen pack of 20 will have more than 2 defective batteries

Answers

The probability that no orange discs are selected is 0.1295 and the probability that exactly 2 discs with numbers ending in a 6 are selected is 0.0721.

How to calculate probability?

The probability that no orange discs are selected will be:

= 200C5 / 300C5

= 0.1295

The probability that exactly 2 discs with numbers ending in a 6 are selected will be:

= (30C2 × 270C3) / (300C5)

= 0.0721

The probability that exactly 2 orange discs with numbers ending in a 6 are selected will be:

= (100C2 × 290C3) / (300C5)

= 0.0092

The mean of the number of pink discs selected will be:

= np

= 5 × 1/3

= 5/3

The variance will be:

= 5 × 1/3 × 2/3

= 10/9 = 1.11

Learn more about probability on:

https://brainly.com/question/24756209

100pts Help rounding!

Answers

Answer:

5

Step-by-step explanation:

5 158/559

= 5 + 158/559

= 5 + 0.28264758

= 5.28264758

= 5 (rounded to nearest whole number)

Answer:

5

Explanation:

[tex]\rightarrow \sf 5\dfrac{158}{559}[/tex]

[tex]\rightarrow \sf 5.282647585[/tex]

The whole number is the quotient in any fraction.

oml please don’t say anything that doesn’t help,
do any of you know what 1 3/4 + 1/6 + ____= 7 1/2 is and can you tell me how you got it

Answers

Answer:

first convert mixed fraction to improper fraction then solve by taking LCM

hope the above process helps

Answer:

5  7/12

Step-by-step explanation:

1/6 can be converted to 2/12
1 3/4 can be converted to 1 9/12
Add them together, you'll get 1  11/12
7  1/2 is equal to 7  6/12
7  6/12 - 1  11/12 = 5  7/12

              5 /12 is your answer

can some help me out with this EXTRA POINTS!!

Answers

Answer: ≈ 185.73009

Step-by-step explanation:

area of square: [tex]length^{2}[/tex]

area of circle: [tex]\frac{radius^{2} * \pi }{y}[/tex]

length: 15

radius = diameter/2

radius: 5

area of square - area of circle =  area between square and circle:

[tex]15^{2} - \frac{5^{2} * \pi }{2} = 225 - \frac{25\pi}{2}[/tex] ≈ 185.73009

hope it helps!

Please mark as brainliest.

Aiden paid 45. 15 to stream three movies. All three movies were the same price. How much did each movie cost

Answers

Answer:

Each movie costs $15.05

Step-by-step explanation:

The price that was paid was $45.15

We know that there were 3 movies brought at the same prices.

We want to know how much each movie costs.

This is a simple division problem.

This is because the keywords "same" and also "each"

Do 45.15 divided by 3

45.15/3 = 15.05

Your answer is $15.05

You could verify by adding $15.05 three times.

$15.05 + $15.05 + $15.05 = $45.15

Therefore, Each movie costs $15.05

3x+2x+6v-9g+hd+2v-1g

Answers

Answer:

5x+8x-10g+hd

Step-by-step explanation:

please mark me as brainlest

Hey there!

3x + 2x + 6v - 9g + hd + 2v - 1g

= 3x + 2x + 6v - 9g + 1hd + 2v - 1g

COMBINE the LIKE TERMS

= (3x + 2x) + (6v + 2v) - (9g - 1g) + (1hd)

= 3x + 2x + 6v + 2v - 9g - 1g + 1hd

= 5x + 7v - 10g + 1hd

= 5x + 7v - 10g + hd

= hd - 10g + 8v + 5x


Therefore, your answer is:

hd - 10g + 8v + 5x


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

What is the value of x in the figure?


Enter your answer in the box.


x =

Answers

Answer:

68 degrees

Step-by-step explanation:

The straight horizontal line is a straight angle with 180 degrees it is split in a way that you know under the right angle, is another right ange making up part of the 180° line, add 22 and then subtract what you get from 180 to get 68.

A simpler way, add the angles in the X and 22 degree things and there is a right angle, 90 degrees, subtract 22 from 90 and get 68

Two different ways, either will work

Hope this helps!

Angles are complementary

x+22=90x=90-22x=68

x is 68°

ASAP PLS An angle measures 72.6° less than the measure of its complementary angle. What is the measure of each angle?

Answers

Answer:

Step-by-step explanation:

Martin has a pencil case which contains 4 blue pens and 3 green pens. Martin picks a pen at random from the pencil case. He notes its colour, and then replaces it. He does this two more times. Work out the probability that when Martin takes three pens, exactly two are the same colour. (3 marks)

Answers

Answer: How do you not understand this?

I understand it perfectly.

Step-by-step explanation:

The  probability that when Martin takes three pens, exactly two are the same color is 26.53%.

Probability

Given:

Blue pens=4

Green pens=3

Hence:

Probability=4³+3³÷(4+3)³

Probability=64+27/343

Probability=91/343

Probability=0.2653×100

Probability=25.53%

Therefore the  probability that when Martin takes three pens, exactly two are the same color is 26.53%.

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#SPJ6

Bryce has $28. He spends $15. Then, his mom gives him $5 more. Which equation shows how Bryce can correctly find his total amount of money?

Answers

Answer:

28 - 15 + 5 = 18. Add and subtract will get you ,your answer. Bryce has $18

Step-by-step explanation:

Simple math hope this helped

can somone help? ill give brainlist

Answers

Answer:

13.99+.75+.75=15.49

Part A ) 15.49

Part B) Anna is correct because her pizza only cost 15.49 and if you subtract 15.49 from 20 it is 14.51

Step-by-step explanation:

If a sequence is 0,1,1,2,3,5 what is the 11th number in the sequence?

Answers

Answer:

55

Step-by-step explanation:

This is the Fibonacci sequence! Filling out the rest of the numbers, 55 is the 11th number in this sequence.

The radius of the Earth is approximately 6,370 kilometers. What is the distance in scientific notation?
A.
637 × 10^2 kilometers
B.
6.37 × 10^3 kilometers
C.
637 × 10^1 kilometers
D.
63.7 × 10^2 kilometers

Answers

Answer:

it is D 63.7 × 10`2 I am not sure if it right tho

Hey there!


• QUESTION READS….

“The radius of the Earth is approximately 6,370 kilometers. What is the distance in scientific notation?”

• THE QUESTION ASKED IN EASIER WAYS

“The SPACE of Earth is about 6,370 km (kilometers). What is the length of the the Earth in scientific notation?”


• GETTING TO KNOW SCIENTIFIC NOTATION…..

It’s the writing of a number in a certain term of a product of an thing anywhere between the numbers 1 - 10 and the other thing is at the power of the number 10

• ANSWERING THE QUESTION BY DOING PROCESS OF ELIMINATION….


Option A.
637 km × 10^2 kn

= 637 km × 10 km × 10 km

= 637 km × 100 km

= 63,700 km

Option A. is incorrect because it is too big.


Option B.
6.37 km × 10^3 km
= 6.37 km × 10 km × 10 km × 10 km

= 6.37 km × 100 km × 10 km

= 6.37 km × 1,000 km

= 6,370 km

Option B. could possibly be your answer


Option C.
637 km × 10^1 km

= 637 km × 10 km

= 6,370 km

Option C. could also possibly be your answer.

Option D.
63.7 km × 10^2 km

= 63.7 km × 10 km × 10 km

= 63.7 km × 100 km

= 6,370 km

Option D. could also possibly be your answer along with B - C.

This is a tricky answer because we have MORE THAN one result.

So, we will just ELIMINATE A, C, D to make it easier.


Thus, we will say your result is:

Option B. 6.37 × 10^3 kilometers



Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

Mandy bought a rectangular shelf that is 1 2/3 feet long and 5/8 feet wide. What is the area of the shelf? Enter your answer as a mixed number in simplest form by filling in the boxes. $$ ft²

Answers

The area of a rectangular shelf with length of 1 2 / 3 ft and width of 5 / 8 ft is  [tex]1\frac{1}{24}[/tex] ft

How to find area of a rectangle?

A rectangle is a quadrilateral. It has 2 opposite sides equal to each other.

Therefore,

area of rectangle = lw

where

l = lengthw = width

Therefore,

length = 1  2 / 3  = 5 / 3 ft

width = 5 / 8 ft

area = 5 / 3 × 5 / 8

area = 25 / 24 ft

area = [tex]1\frac{1}{24}[/tex] ft

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CAN SOMEONE PLEASE HELP

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here's the solution ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{2 {}^{n} - 1}{ {4}^{n} - 1} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{2 {}^{n} - 1}{ {( {2}^{2}) }^{n} - 1} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{2 {}^{n} - 1}{ {( {2}^{n}) }^{2} - 1} [/tex]

Now we will use this identity in denominator

[ a² - b² = (a + b)(a - b) ]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{ \cancel{(2 {}^{n} - 1)}}{ {( {2}^{n} }^{} + 1) \cancel{( {2}^{n} - 1)}} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{ 1}{ {( {2}^{n} }^{} + 1) } [/tex]

Answer:

[tex]\sf \dfrac{1}{2^n+1}[/tex]

Step-by-step explanation:

Given expression:

[tex]\sf \dfrac{2^n-1}{4^n-1}[/tex]

Rewrite [tex]\sf 4^n[/tex]:   [tex]\sf 4^n=(2^2)^n=2^{2n}=(2^n)^2[/tex]

Rewrite 1:  1 = 1²

[tex]\sf \implies \dfrac{2^n-1}{(2^n)^2-1^2}[/tex]

Apply difference of two square formula to the denominator

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

[tex]\sf \implies \dfrac{2^n-1}{(2^n+1)(2^n-1)}[/tex]

Cancel out the common factor [tex]\sf 2^n-1[/tex] :

[tex]\sf \implies \dfrac{1}{2^n+1}[/tex]

Find the volume of the prism.

Answers

Answer:   The formula for the volume of a prism is obtained by taking the product of the base area and height of the prism. The volume of a prism is given as V = B × H where, "V" is the volume of the prism, "B" is the base area of the prism, and "H" is the height of the prism.

The volume of a right triangular prism is 72 cubic feet. the height of the prism is 9 feet. the triangular base is an isosceles right triangle. a right triangular prism has a volume of 72 cubic feet. triangles a e c and b f d are the base triangles. sides f d and b f are congruent and form a right angle. the height of the prism is 9 feet. what is the area of the triangular base? square feet what is the length of edge df? feet

Answers

Answer:

8 square feet

Step-by-step explanation:

The formula of a volume of a prism:

We have

Substitute:

            divide both sides by 9

Answer:

8 and 4

Step-by-step explanation:

The first one is 8

The second one is 4

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