17. Distance to Work Johnny gets to work in 20 minutes
when he drives his car. Riding his bike (by the same
route) takes him 45 minutes. His average driving speed
is 4.5 mph greater than his average speed on his bike.
How far does he travel to work?

Answers

Answer 1

Answer:

2.25 miles

Step-by-step explanation:

When driving a car time taken is 20 minutes. This is equal to 20/60 hours , 1/3 hours / 0.3 hours

When riding a bike , time taken is 45 minutes. This is 45/60 hours , 3/5 hours/ 0.75 hours

The formula for speed is : Speed = Distance covered / time taken

The statement is that the driving speed is greater than biking speed by 4.5 mph

Assuming the distance to work is x miles then;

x/ 0.3 - x/0.75 = 4.5  ------eliminate 0.3 by multiplying each term by 0.3 to get

x- 0.3/0.75 x = 1.35 -------eliminate 0.75 by multiplying each term by 0.75 to get

0.75 x - 0.3 x = 1.0125

0.45 x = 1.0125

x= 1.0125 / 0.45

x = 2.25


Related Questions

34 ÷ [(7.2 × 0.8) + 3.24]

Answers

Answer:

the answer is 3.82 i think

Step-by-step explanation:

what is y+26(9-x)=290

Answers

Answer:

y = 56 + 26x

Step-by-step explanation:


What is the x-intercept of the line below?

Answers

Answer:

(2,0) or 2

Step-by-step explanation:

The x-intercept is the point where the line intercepts or goes through the x-axis. The x-axis is the horizontal line that is labeled x.

Another way to find the x-intercept is to find the x value when the y value or f(x) equals zero.  

Mr. Oliveros takes theater students to a play. Mr. Oliveros spends $45.00 in all.
He pays $10.00 for his ticket and spends the rest on student tickets. Each
student ticket is $2.50. How many student tickets does Mr. Oliveros buy?
Show your work.

Answers

Answer:

$45.00-$10.00=$35.00

2.50x14= $35.00

Therefore he bought 14 student tickets

esto es para mi amor aniyah por favor si no eres ella no respondas ... bebé te juro que no es así como quiero que me tienes enamorado ...
tan profundo en mis sentimientos ...
hasta ese punto donde el psin se hizo cargo ...
tengo miedo de amar
Tengo miedo de romperme ...
No quiero monja, así que dije que todo era falso ...
pero te prometo que no lo estaba ...
Lo siento..
Tuve que soltarme antes de que me uniera.
Eres muy hermosa ...
eres tan cariñoso amoroso ...
eres una maldita reina ...
No quería lastimarte pero sabía lo que estaba haciendo ...
Sabía que te estaría causando más dolor si me quedaba, no me conoces todo y realmente no quiero que lo hagas, por eso no me meteré en nada real, pero si me necesitas como amigo te prometo que te tengo mi amor a través de lo que sea necesitas....
Si no estás de humor, te ayudaré a superarlo, pero no puedo hacer nada serio y lo siento bebé, pero no dejaré que te rompas de nuevo ... te amo mamás

Answers

pie = she left you x=63 y=3728

Answer:

I love you too Drizz...

Step-by-step explanation:

-19 + m > 36
(The greater than sign has a line under it btw)

Answers

Answer:

m> 55 (you only flip the direction of the sign when you divide by a negative number)

Step-by-step explanation:

Answer:

m > 55

Step-by-step explanation:

simplify both sides of the inequality

m - 19 > 36

Add 19 to both sides

36+19

m>55

Hope this helps :D

One baseball team played 24 games throughout their entire season. If this baseball team
won 75% of those games, then how many games did they win? Round your answer to the
nearest whole number if necessary.

Answers

They won 18 games in the season

suppose that when you factor 4t^6-r^10, you get (2t^x+r^y)(2t^x-r^y). determine the sum of t and r.

Answers

Answer:

8

Step-by-step explanation:

Given the expression

4t^6-r^10 we are to factorize in the form;

(2t^x+r^y)(2t^x-r^y)

First we need to factorize (2t^x+r^y)(2t^x-r^y)

[tex]= (2t^x+r^y)(2t^x-r^y)\\= 4t^{2x}-2t^xr^y + 2t^xr^y - r^{2y}\\= 4t^{2x}-r^{2y}[/tex]

Compare [tex]4t^{2x}-r^{2y} \ with \ 4t^6-r^{10}[/tex]

[tex]4t^{2x} = 4t^6\\t^{2x} = t^6\\equate \ the \ powers\\2x = 6\\x = 3\\[/tex]

Get y;

[tex]r^{2y} = r^{10}\\2y = 10\\y = 5\\Hence \ x + y = 3+5 = 8[/tex]

Hence the sum of x and y is 8

what is the whole number of 9​

Answers

Answer:

9/1

Step-by-step explanation:

Answer:

Um wym?

Step-by-step explanation:

can someone help me and show me all the steps you did to get the answer

STEP BY STEP

Answers

Vertical Angles Theorem: angles that are opposite each other and formed by two intersecting straight lines, are congruent.

6x - 7 = 4x + 7
2x = 14
x = 7

Or you can also do supplementary angles

6x - 7 + 20x + 5 = 180
26x - 2 = 180
26x = 182
x = 7

The answer is x = 7

BRAINLIEST + FRIEND IF U ANSWER MY QUESTION!!

Answers

Answer:

a or c

Step-by-step explanation:

mark me brainliest and friend me

A cylinder has a height of 7 feet and a radius of 12 feet. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

V=3.14(12)^2(7)

Which equals 3165.1 (I believe)

Answer: 461.6 ft^3

Step-by-step explanation:

Substitute r and h into the volume formula. In this case, the height is 12, so h = 12. The diameter is 7, so the radius is half that, or 3.5. Substitute into the formula and simplify:  V=π(3.5)2(12)V=π(12.25)(12)V=147π

So the exact volume of the cylinder is 147π ft3

.

To find the approximate volume, substitute 3.14 for π

and simplify:V≈147(3.14)≈461.58

. Rounded to the nearest tenth, the approximate volume of the cylinder is 461.6 ft3

.

cynthia has earned 1,000 and wants to put it in a savings account that earns 5% simple interest assuming she makes no additional deposits or withdrawals what will be the total value of cynthias account after 48 months

Answers

Answer:

6746734

Step-by-step explanation:

first fo 45 minus 45 get 0 add then 56 plus 34

Answer:

1200

Step-by-step explanation:

1000(1+.05x4)

5%=.05

convert the months into years

help me plz .........
.​

Answers

Answer:

99

Step-by-step explanation:

(40+49)+10=89+10=99

helppp this is due at 1:20

Answers

Answer:

Total Bill: $138

Step-by-step explanation:

115 * 1.20 = 138

Answer:

138

Step-by-step explanation:

115 × 20% = 23

115 + 23 = 138

Answer is 138

BRAINLIEST

help me please 20 pts.

Answers

Your answer is A.

Hope this helps and ha e a nice day!

Answer:

A) X<5

Step-by-step explanation:

The circle is open, and the line is pointing left meaning it is less than five.

Round 431,857 to the nearest ten thousand

Answers

Answer:

i don' think you can

Step-by-step explanation:

During a basketball game, you made 13 shots of either 2 or 3 points. You scored a
total of 30 points. How many shots of each point value did you make?

Answers

Answer:

10 points, sorry if wrong

Step-by-step explanation:

Hdtnfdhhhgghvvghhhwftfhfyggggyg

Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

For ever 1 cat, there are 4 dogs.

For a celebration a town is going to pass out miniature replicas of the town's
bell. The replicas are 9 in. tall. If the scale of the replica is l in. : 0.5 ft, how
tall is the actual bell?

Answers

Answer:

The bell is 4.5 feet tall

Step-by-step explanation:

The ratio of the replicas are 1in : 0.5ft, so each inch of the model is 0.5 feet in real life.

The replicas are 9 inches tall, so you would multiply by the scale factor, 0.5 feet. You want the units to end up being feet, so you position the fractions to cancel out inches.

[tex]\frac{9}{1}[/tex] in x  [tex]\frac{0.5}{1}[/tex] [tex]\frac{ft}{in}[/tex]

the inches cancel out and you are left with:

9 x 0.5 ft

Simplify.

4.5 ft

A research study states that 33% of homeowners are members of the neighborhood watch. The probability of a homeowner being a member of the neighborhood watch is 0.45.
What is the probability that 1 out of 3 homeowners in the city are members of the neighborhood watch?

Answers

Answer:

45% chance that a homeowner is on the community watch.

Step-by-step explanation:

Answer:

approximately 0.4084

Step-by-step explanation:

Write and equation of the line that contains the points below.
(-5, 4) and (-1, -8)

Answers

y= 3x-11 (slope-intercept form)

Find the unit rate


5 calculators cost $180


Mowed 6 yards for $30


10 chocolate bars cost $17


5 movie tickets cost $35

$19 for 5 books

200 bagels in 2 hours

56 people can ride the Ferris Wheel in 4 hours

5 cans of green beans for $3.20

3 pounds of bananas for $3.06

4 tickets to the movies costs $36

Answers

The unit rate for the problem is 16

Original cost $7.50 markup % 50%

Answers

Answer:

3.75

Step-by-step explanation:

3.75 because 7.50 × .50 (or 7.50/2) is 3.75

Draw the image of AABC under a translation by 3 units to the left and 3 units down.

Answers

Answer:

you will have to move the full shape 3 squares to the left (<--) and 3 squares down

Step-by-step explanation:

hope this helps

What is 125x+200 on a number line

Answers

Answer:

125 (x+4)

Step-by-step explanation:

all you have to do is group the common factor

WILL GIVE BRAINLIEST!!!!!! (25 points) Melissa and Emily are playing at the pool.They have three different measuring jars for; liters, cups, and pints. They find that 7 cups of water and 3 liters of water filled 9.8 pints. Later, they find that if they start with 5 liters of water and remove 9 cups of water, they end up with 6 pints of water. Model the given two situations as a system of linear equations. Based on your equations, determine the relationship between;
●cups and liters,
●cups and pints,
●and pints and liters.
Show all your work and submit your work along with the resulting relationships.

Answers

Answer:

7 cups + 3 litres = 9.8 pints

⇒ Equation 1

5 litres - 9 cups = 6 pints

⇒ Equation 2

Relationship between cups and

Rearranging equation 1 to make pints the subject

⇒ substitute this into Equation 2

Hence, 1 litre = 2.1 cups

Relationship between cups and pints

Rearrange equation 1 to make litres the subject

⇒ Substituting this into Equation 2

Hence, 1 pint = 2 cups

Relationship between pints and liter

Rearranging equation 1 to make cup the subject

⇒ subsitute this into equation 2

Hence, 1 liter = 2.1 pints

Is the following relation a function? (-2,-2) (2,8) (3,2) (3,1) (7,-5)

Answers

No it is not.
Function cannot have different outputs for the same input
(3,2) and (3,1) have the same input but different outputs, not a function

the product of x and 5

Answers

Answer: The product of x and 5 is 5x

Harmony pays $59.00 per month for a base cable package and an additional amount for on-demand programming. Last month, Harmony received a $62.44 cable bill.

$59.00 + x = $62.44

Ignoring sales tax and additional fees, how much did she spend for on-demand programming?
A. $121.44
B. $7.44
C. $3.44
D. $65.88

Answers

Answer: C

Step-by-step explanation:

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