Mr. Wu rides his bike at 6 mph to the bus station. He then rides the bus to work, averaging 30 mph.

If he spends 20 minutes less time on bus than on the bike, and the
distance from his house to work is 26 miles, what is the distance from
his house to bus station?

Fill out the information in the table for your convenience. Write the
equation. Solve. Show your work. Check your work

Answers

Answer 1

Answer:

26 mi

Step-by-step explanation:

Convert 20 min to hrs: 20/60 = 1/3 hr

:

Let t = time on the bike

then

t-(1/3) = time on the bus

:

Write a dist equation Dist = speed * time:

:

Bike dist + bus dist = 26 mi

 

6t + 30[t-(1/3)] = 26

:

6t + 30t - 10 = 26

36t = 26 + 10

36t = 36

t = 1 hr on the bike

:

6 mph for 1 h = 6 mi from house to the bus station

:

:

Check solution by finding the distance

6(1) + 30(2/3) =

6 + 20 = 26 mi


Related Questions

In circle F with mZEFG = 30 and EF =
30 and EF = 11 units, find the length of arc EG.
Round to the nearest hundredth.
F
G
E

Answers

Answer:

5.76 units

Step-by-step explanation:

Length of arc EG = central angle/360 × 2πr

Where,

central angle = 30°

radius (r) = 11 units

Plug in the values into the formula

Length of arc EG = 30/360 × 2 × π × 11

Length or arc EG ≈ 5.76 units (to nearest hundredth)

Which of the following is the correct point-slope equation for the line that
passes through the point (-3,-9) and is parallel to the line given by
y = 2.5x - 20?
O A. Y-3 = 2.5(x - 9)
O B. y + 3 = 2.5(x + 9)
O C. y + 9 = 2.5(x+3)
O D. Y- 9 = 2.5(x-3)

Answers

Answer:

these are negative numbers

Step-by-step explanation:

Given ABC AB=6,AC=9, find BC

Answers

Answer:

BC is 12

Step-by-step explanation:

Which means that you just add by 3 which is the rule

I WILL MARK BRAINLIEST
DO NOT GUESS OR ATTACH FILE OR I WILL REPORT
Mara spins this spinner and rolls one six-sided die. What is the probability of spinning a 3 and rolling a 3 on the die?
(Photo above) Pls help​

Answers

Answer:

D. The probability is 7%.

At the city Museum child admission is $6.40 in adult admission is $9.70 on Sunday 149 tickets were sold for a total sales of $1145 how many adult tickets were sold that day

Answers

Answer:

Adult=58

Step-by-step explanation:

c=child, a=adult

6.4c+9.7a=1145 equation 1

c+a=149 equation 2

a=149-c modified equation 2 to isolate a

6.4c+9.7(149-c)=1145 substitute value of a from equation 1 into equation 2

6.4c+1445.3-9.7c=1145

-3.3c=-300.3

c=91

solve for a

c+a=149

91+a=149

a=58

Check answer:

6.4c+9.7a=1145

6.4(91)+9.7(58)=1145

582.40+562.60=1145

1145=1145

plz help i didnt take this

Answers

Answer:

A.

Step-by-step explanation:

SOH CAH TOA

sin40°= Opposite ÷ Adjacent

sin 40°= 6/x

Find the value of the missing angle please help!

Answers

Answer:

4th Option, 45.1

Step-by-step explanation:

Cos(Ф) = [tex]\frac{12}{17}[/tex]

Ф = Cos⁻¹ ([tex]\frac{12}{17}[/tex])

Ф = 45.1

Hope this helps!

Two trucks started toward each other at the same time from towns 500 lm scart One truck traveled at a rate of 65 km per hour wrile the other traveled at 50 km per hour. After how many hours did they meet?
If represents the number of hours, which of the following equations could be used to solve the problem?

65x=60x
65x -60x=500
65x+60x=500

Answers

Answer:

65x + 60x = 500

add 65x and 60x

this will equal 125x

divide 500 by 125

this will give you x = 4

which gives you the answer that the trucks will meet in 4 hours

please mark as brainliest

hope this helps : )

Step-by-step explanation:

How many mL (milleters) are in 12.9 liters?

1. 129 mL
2. 1,290 mL
3. 12,900 mL
4. 129,000 mL


please help ASAP!

Answers

Given statement solution is :-12.9 liters are in milleters is  12,900 mL.

The metric system uses millilitres as the unit of volume, denoted by the letters ml or mL. One cubic centimetre, or one thousandth of a litre, is equivalent to one millilitre. That's a little sum in the imperial system.

A measure of volume in the metric system. One thousand milliliters equal one liter. Additionally known as cc, mL, and cubic centimetre.

To convert liters to milliliters, you need to multiply the number of liters by 1,000, since there are 1,000 milliliters in a liter.

So, multiplying 12.9 by 1,000 will give you the answer to how many millilitres are in 12.9 litres:

12.9 litres x litres per 1,000 = 12,900 mL

Therefore, option 3: 12,900 mL, is the milleters right response.

For such more questions on milleters

https://brainly.com/question/30400914

#SPJ8

HELP PLZZZZZ OMGGGGGGG

Answers

The money is a lot so it would be c

o.5 is < or > or = to 0.7

Answers

Answer:

.5 < .7

Step-by-step explanation:

unless its negatives, the bigger the number the more value it has

0.5 > 0.7 i hope this helpsssss

NEED HELP!!!! ILL MARK BRAINLESS FIRST PERSON!!!!

Answers

Answer:

THE ANSWER SHOULD BE B

HAVE A GOOD DAY

Step-by-step explanation:

Answer:

sort several bags and calculate percentage

*Brainliest!* What are the AREA and Perimeter of this collection of tiles?

Answers

Answer:

15 I think

Step-by-step explanation:

I’m pretty sure it’s 15 PERIMETER and the AREA has to be 30 I’m pretty sure this is please consider Brainliest!!

Find the inverse for each relation:
1. {(1,-2), (2, 3),(3, -3),(4, 2)}

Answers

Answer:

the inverse for each relation:

1. {(1,-2), (2, 3),(3, -3),(4, 2)} is

{(-2,1),(3,2),(-3,3),(2,4)}.

Given: cosθ= 4/5


Find: sin2θ

Answers

Answer:

cos theta=4/5

b/h=4/5

b=4 and h=5

p=?

H^2=P^2+B^2

5^2=P^2+4^2

25-16=P^2

9=P^2

[tex]\sqrt{9}[/tex]=P

3=P

Now,

sin2theta

=p/h2

=3/5*2

=9/5

Step-by-step explanation:

Answer:

About 36.87 degrees; sinθ=3/5

Step-by-step explanation:

Note: I made an assumption with the Find: sin2θ part of your question, as it turned up as invalid when working on it on my end. Therefore, I assumed that it was sinθ. If it was something else, tell me and I can correct the answer/content.

Since within a triangle there are three sides when solving an angle, being opposite, adjacent and hypotenuse.

By already having cosθ=4/5. the rest of the problem can be solved. Since cosine is adjacent over hypotenuse, we can use the Pythagorean Theorem, solving for one of the legs of the triangle with:

c^2-b^2=a^2

Now, just plug in c as the 5 (the hypotenuse) and b as 4 (one of the legs).

5^2-4^2=a^2

25-16=a^2

9=a^2

a=3

The other leg is 3. With this, 3 would be the opposite angle from sin 20. Therefore, it can be plugged in the sine equation to get the answer. Remember, sine is Opposite/Hypotenuse.

sinθ=3/5

Move over the sine to then opposite side, inverse it:

θ=sin-1 3/5

Use a calculator.

θ = about 36.87 degrees.

ΔABC and ΔXYZ are similar triangles. The lengths of two sides of each triangle are shown. Find the lengths of the third side of each triangle.

Answers

Answer:

a=7.6

y=2.3

Step-by-step explanation:

2.5/5=3.8/a

1/2=3.8/a

a=7.6

2.5/5=y/4.6

1/2=y/4.6

2y=4.6

y=2.3

Find the distance between the origin and the point (10,45,57)

Answers

Answer:

Step-by-step explanation:

3D space  (x, y, z)  = (10, 45, 57)

I will use  x² + y² = (2D Hyp)²  and (2D Hyp)² + z² = (3D Hyp)²

which is just x² + y²  + z² = (3D Hyp)²

10² + 45²  + 57² = (3D Hyp)²

100 + 2025 + 3249    =  5374   =   (3D Hyp)²    the destance from the origin

                                                   =  73.31    the destance from the origin

A study conducted by a commuter train transportation authority involved surveying a random sample of 200 passengers. The results show that a customer had to wait on the average 9.3 minutes with a standard deviation of 6.2 minutes to buy his or her ticket. Find the upper confidence limit (UCL) for a 95% confidence interval for population mean , the true mean waiting time. Round your answer to two decimal places.

Answers

Answer:

The UCL of the 95% confidence interval for population mean is 10.16 minutes

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{6.2}{\sqrt{200}} = 0.86[/tex]

The upper end of the interval is the sample mean added to M. So it is 9.3 + 0.86 = 10.16 minutes.

The UCL of the 95% confidence interval for population mean is 10.16 minutes

What is the most specific name for the figure?
A(-a, 0)
B(-2a, a)
C(-a, 2a)
D(0, a)
A. Parallelogram
B. Rectangle
C. Square
D. Rhombus

Answers

Answer:

Its C. Square

Step-by-step explanation:

The most specific name for the figure is Square.

What  is Quadrilateral?

A quadrilateral is a four-sided polygon in geometry with four sides and four vertices. The Latin words quadri, which means "four," and latus, which means "side," are the sources of the word. Similar to other polygons like the pentagon, it is also known as a tetragon, derived from the Greek words "tetra," which means "four," and "gon," which means "corner" or "angle." It is also known as a quadrangle or a 4-angle because the word "gon" means "angle."

Given figure with coordinates

(-a, 0), (-2a, a), (-a, 2a), (0, a)

from coordinates length of side can be calculated excluding negative sign,

side = (y₂ - y₁)/(x₂ - x₁)

AB = (a - 0)/(-2a + a) = -1

BC = (2a - a)/(-a + 2a) = 1

CD = (a - 2a)/(0 + a) = -1

DA = (a - 0)/(0 + a) = 1

excluding negative sign for length all sides are equal

it is a Square: A regular polygon with four sides of equal length and angles of equal length of 90 degrees each is called a square.

Hence the figure is Square.

Learn more about Quadrilateral;

https://brainly.com/question/13805601

#SPJ2

Three divided by one-fourth

Answers

Answer:

3 divided by 3/4 is 4

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

3÷1/4

3×4

12

I hope this helps.

Hi 10 +10 here is me question help

Answers

Answer:

[tex] \huge\red{\boxed{\mathfrak{Hello}}}[/tex]

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]

[tex]10 + 10 \\ = 20[/tex]

Answer:20

Step-by-step explanation:

10+10=20

A line segment AB has midpoint (2, 5). If the coordinates of A are (-1, -3), what are the coordinates of B?

Answers

Answer:

B (5; 13)

Step-by-step explanation:

Midpoint (x) = (-1 + bx)/2 = 2

Bx - 1 = 4

Bx = 5

Midpoint (y) = (-3 + By)/2 = 5

By - 3 = 10

By = 13

B (5; 13)

which measurement is closest to the area of the shaded region in square inches

Answers

The answer is 19 need any work?

10.
V=720 cm
L=?
P=15 cm
T=8 cm
A. 6 cm
B. 8 cm
C.10 cm
D. 12 cm​

Answers

Answer:

6 cm

Step-by-step explanation:

Given the information :

V=720 cm

L=?

P=15 cm

T=8 cm

The volume = L * P * T

V = L * P * T

720 = L * 15 * 8

720 = L * 120

L = 720 / 120

L = 6 cm

I need help with this question

Answers

Answer:

Step-by-step explanation:

i believe x=28?

I think the answer is 12

Use rational exponents to represent 65,535

Answers

Hiiiiiiiiiiii


Handshake

The graph of a line has a slope of 3 and passes through the point (-4,-5).
What is the equation of the line in point-slope form?

Answers

Answer:

3x - y + 7 = 0

Step-by-step explanation:

The given point is , ( -4 , -5) and the slope is 3. The point slope form is ,

=> y - y₁ = m( x - x₁)

=> y - (-5) = 3 { x - (-4) }

=> y +5 = 3( x + 4 )

=> y + 5 = 3x + 12

=> 3x - y + 12 - 5 = 0

=> 3x - y +7 = 0

Hence the equation of the line is 3x - y + 7 = 0 .

2.93 km
Before the eruption of a volcano, the volcano was 2.93 kilometers
high. After the eruption, the volcano was 2.53 kilometers high
Use the bar diagram to find the difference in height of the volcano
before and after the eruption, in meters,
2.59 km
Click the icon to see the metric units of length
meters,
The difference in height of the volcano before and after the eruption is
(Type a whole number or a decimal)

Answers

Answer:

0.4

Step-by-step explanation:

I need help please urgent

Answers

Answer:

its ok don't worry

Step-by-step explanation:

its a mental answer

can someone answer this please

Answers

Answer:

Lauren saves $4,200 and Harold saves $1,050 after 6 months.

Step-by-step explanation:

700 × 6

175 × 6

Other Questions
Write an equation in simplest form for:y is x divided by 17 plus 17. Write an essay about how andrew jackson was a bad president Which sentence correctly uses a quotation from "A Modest Proposal"?Answer: swift explains that some mothers are "forced to employ all their time in stroling to beg sustenance for their helpless infants." help me find this area of this triangle What is the equation of the quadratic that models the data? 15pts!!!! Normally you will see US Labor Productivity Increasing at an annual rate of around 6%. In reading the book you should see that it must continue to increase for our country to continue to have the standard of living that we do. What seemed odd to me was that in the 3rd Quarter of 2009, while our country is in the midst of a very deep recession, this number went to 14.8%. In the 4th Quarter it dropped to 6.4% and in the 1st Quarter of this year it was at 2.5%. Why the Big Spike in the 3rd Quarter of 2009 What does the term 9b represent A,B,C,D Jayden asked his classmates, "How many days do you exercise in a typicalweek?" The dot plot shows Jayden's data.Time Spent ExercisingNumber of daysHow many observations did he record?O A. 3O B. 11C. 13OD 8 4 x 3 + 2 x 9 - 40PLEASE!!! where in America does police brutality take place? could somebody help me with A self portrait is a picture of ______________. Find the volume of the prism. Which statement best summarizes U.S. actions in Central and South America during the Cold War? O A. The United States won popular support by punishing U.S. corporations that exploited workers. B. The United States let the Soviet Union to control the region in order to end the arms race. C. The United States offered support to violent dictators as long as they were not communists. 0 D. The United States avoided becoming involved in proxy wars due to their high cost. For which of the following is x=-5 a solution? Select all that apply.A) x+10=-5B) -x^2+50=25C) |2x|=10D) x a) Work out the size of angle x.b) Give reasons for your answer. What is the largest minority ethnic group in Arizona? A. Hispanic American B. African American C. Native American D. Russian American Solve the equation for all values of x in simplest form:(x + 1)^2 = 25 (100 Points!) How did the communist system of the USSR differ from the capitalist system of the United States? A.) The Soviet government controlled resources and discouraged private ownership of property B.) The Soviet government promoted competition and encouraged private ownership of property C.) The Soviet government advised people to shop around for the best prices for goods D.) The Soviet government encouraged workers to search for the highest-paying jobs. Select the correct answer.A compound has an empirical formula of C2H5. What is true about this empirical formula? It models the structure of the compound.. It shows the ratio of elements in the compound.. . It gives the mass of each atom in the compound.OD. It indicates the number of atoms in the compound.O E. It describes only this one compound.