Diana averages 6 mph walking
to school. Averaging 35 mph on
the way back home by car, she
takes 3 hour less time.
How far is the school
from her home?

Answers

Answer 1

Answer:

Distance between school and home = 105 miles.

Step-by-step explanation:

Let distance = D miles

Time to take walking/jogging, t1 = D/6 hours

Time by car, t2 = D/35 hours

Average time, t

= (t1+t2)/2

= D(1/6+1/35)

= (D/210)(35+6)

=41D/210 hours

Given t = t1-3 hours

41D/210 - D/6 = 3

Solve for D

41D/210 - 35D/210 = 3

(41-35)D/210 = 3

6D/210 = 3

D = 3*210/6 = 105 miles.

(Appreciate very much Diana's efforts to walk/job 105 miles to school, and we understand how lucky we are in most of Europe and North America)


Related Questions

find the square (3x+y)​

Answers

Answer:

9x² + 6xy + y²

Step-by-step explanation:

(a + b)² =  a² + 2ab + b²

a  = 3x

b = y

(3x +y)² = (3x)² + 2*3x*y + y²

            = 9x² + 6xy + y²

(3x)² = 3²*x² = 3*3*x² = 9x²

Jessica plans to watch 3 movies each month. Write an equation to represent the total number of movies n that she will watch in m months.

Answers

The number of movies Jessica watches each month if she watches three per month is:
Number of movies = n and if Months = m

Then 3 per month = 3m

i.e. n = 3m

Hope this helps!

Please mark Brainliest!

(PLEASE ANSWER QUICK) Which data set could be represented by the box plot shown below?

Answers

Answer:

Your answer is B

Step-by-step explanation:

The lowest number is 4, therefore it cannot be C.

Now you'll have to cross out numbers on both sides and your mean will be 9 because you'll have to add 8 and 10 together and 18 divided by 2 is 9.

Next, put a line between 8 and 10, now the 8 side is the lower quartile and the 10 side is the greater quartile.

For the lower quartile, add 7 and 7 together, divide 14 by 2 and the lower quartile is 7.

For the greater quartile, add 11 and 13 together, that's 24, divide 24 by 2 and that's 12.

Lowest: 4

Mean: 9

Lower quartile: 7

Greater quartile: 12

Highest: 14

Therefore your answer is B and not A or C.

if f (x) = ax+b , f(5) = 26 and f (2)=14 find value of a and b​

Answers

Answer:

Hope it helps you:)

.....................

In square inches, what is the area of the composite shape?
**DO NOT INCLUDE LABELS IN YOUR ANSWER!
8 in.
X
8 in.

Answers

Answer:

40[tex]\pi[/tex]

or 125.66 rounded

Step-by-step explanation:

area of triangle:

1/2(b*h)

1/2(8*8)

1/2(64)

=32

area of half circle:

[tex]\pi r^{2}[/tex]/2

[tex]\pi r^{2}[/tex]/2

[tex]\pi 4^{2}[/tex]/2

[tex]\pi16[/tex]/2

[tex]\pi8[/tex] or 8[tex]\pi[/tex]

So, 8[tex]\pi[/tex] + 32=40[tex]\pi[/tex]

In a ABC shown below, side AC is extended to point D with m Z DAB= (180 – 3x) °, mZ B= (6x – 40) °, and m ZC = (x+20) °.
Whats the measure of angle BAC?

Answers

Answer:

60°

Step-by-step explanation:

Given :

DAB= (180 – 3x) °,

mZ B= (6x – 40) °, and

m ZC = (x+20) °.

DAB = mZ B + m ZC ( the exterior angle equal the sum of the two opposite interior angles)

180 - 3x = (6x - 40) + (x + 20)

180 - 3x = 6x - 40 + x + 20

180 - 3x = 6x + x - 40 + 20

180 - 3x = 7x - 20

180 + 20 = 7x + 3x

200 = 10x

x = 200/10

x = 20

Angle B = 6x - 40 = 6(20) - 40 = 120 - 40 = 80

Angle C = x + 20 = 20 + 20 = 40

BAC = 180 - (80 + 40) (SUM OF ANGLES IN A TRIANGLE)

BAC = 180 - 120

BAC = 60°

Higher Order Thinking A student says that he was rearranging furniture at home and he used
a glide reflection to move a table with legs from one side of the room to the other. Will a glide
reflection result in a functioning table? Explain.

Answers

9514 1404 393

Answer:

  yes

Step-by-step explanation:

A table is a 3-D object. It makes no sense to talk about reflecting it across a point or line. If the table is reflected across a vertical plane, the top will remain "up" and the legs will remain "down".

A glide reflection across a vertical plane will result in a functioning table.

Which represents the value of s in s + 12 2 100?

Answers

Answer:

C)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

s + 12>= 100

s>=100-12

s>=88

Solve the compound inequality |3x-9|≤15 and |2x-3|≥5. Give answer in interval notation.

Answers

Answer:

Step-by-step explanation:

|3x-9|≤15

-15≤3x-9≤15

-15+9≤3x≤15+9

-6≤3x≤24

-2≤x≤8

x∈[-2,8]

|2x-3|≥5

2x-3≤-5

2x≤-2

x≤-1

and

2x-3≥5

2x≥8

x≥4

solution is x∈[-2,-1]∪[4,8]

What is the image point of (-2,-2) after a translation right 3 units and up 1 unit?

Answers

Answer:

(1,-1)

Step-by-step explanation:

The shorter leg of a right triangle is 6ft shorter than the longer leg. The hypotenuse is 6ft longer than the longer leg. Find the side lengths of the triangle.

Answers

Answer:

mmm I think you first subtraction

What is the Value of 10 − (1 over 2)^4 ⋅ 48
2
4
5
7

Answers

Answer: ok so your answer will be 7 so D,

Step-by-step explanation: just follow the simple P.E.M.D.A.S

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Dan built a cubed shaped toy box of wood for his daughter. Each side of the toy box measures 2feet. How much wood did Dan use to build the toy box?

Answers

Answer:

12 feet is what i believe is the answer

Step-by-step explanation:

Brainleist :)

63,21,7 write an explicit formula

Answers

Answer:

7×3³-n

Step-by-step explanation:

This is a geometric sequence

Use nth term of geometric sequence formula

Ratio is 27/63=1/3

First term is 63

Simplify expression

In ΔJKL, the measure of ∠L=90°, JL = 80, KJ = 89, and LK = 39. What is the value of the sine of ∠J to the nearest hundredth

Answers

Given:

In ΔJKL, m∠L=90°, JL = 80, KJ = 89, and LK = 39.

To find:

The value of sine of ∠J.

Solution:

In a right angle triangle,

[tex]\sin\theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]

In triangle JKL,

[tex]\sin J =\dfrac{LK}{KJ}[/tex]

[tex]\sin J =\dfrac{39}{89}[/tex]

[tex]\sin J =0.4382[/tex]

[tex]\sin J \approx 0.44[/tex]

Therefore, the value of sine of ∠J is about 0.44.

how many people travel more than 30 miles to work?
b)?

Answers

Answer:

b

Step-by-step explanation:

around 500 people travel more than just 30 miles to work, sum even travel across the states

if the diameter of a circular wall clock is 30 cm, what is the area of rhe clock?​

Answers

Answer:

Step-by-step explanation:

radius=diameter/2

=30/2

=15 cm

area of a clock=πr^2

=3.14*(15)^2

=3.14*225

=706.5 cm^2

Applications and Reasoning:
4. Find the sum of: 300 + 301 + 302 + 303 + 304 + ... + 1239.

Answers

hope it helps you see the attachment for further information

Express 1.2 km as a percentage of 300 m

Answers

Answer:

1.2km is 400% of 300m

Step-by-step explanation:

1 km=1000m

So,1.2 km=1000*1.2=1200m

Let 1.2km(or 1200m) be x% of 300 m

By the problem,

300*x/100 = 1200

Or, 3x=1200

Or,x=1200/3=400

1.2km is 400% of 300m

Help please !!!!!!!!!!!!

Answers

Answer:

C, HL

Step-by-step explanation:

Since the triangles share a side, they have a congruent leg. Looking at the tick marks, the triangles also have congruent hypotenuses. So, they are congruent by the Hypotenuse Leg theorem.

What is the image of (2, 4) after a reflection over the x-axis?

Answers

If we reflect about a line that is parallel to the x-axis, then the x-coordinate of the point (that is reflected) will remain the same, thus the image of (2,-4) has x-coordinate 2 and thus the point is of the form (2,b).

when measuring the radius of a sphere an error of 0.6% takes place in the measurement. What will be the permiable error while measuirng the surface

Answers

Answer:

So, the error is [tex]4.8\pi r[/tex].

Step-by-step explanation:

Error in measuring the radius = 0.6 %

Let the radius is r.

The surface area of sphere is

[tex]S= 4\pi r^2\\\\dS = 4 \pi\times 2 r dr\\\\dS =8\pi r \times 0.6 = 4.8\pi r[/tex]

Which of the following is a point-slope equation of a line that passes through the points (-1, 4) and (8,-2)?

A. y-4= -3/2(x+1)
B. y-4= -2/3(x+1)
C. y-4= 2/3(x+1)
D. y-4= -2/3(x-1)​

Answers

Answer:

B

Step-by-step explanation:

We want to find the point-slope equation of a line that passes through the points (-1, 4) and (8, -2).

Point-slope form is given by:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

So, let's find the slope of the line first. We can use the slope formula:

[tex]\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{-2-4}{8-(-1)}=\frac{-6}{9}=-\frac{2}{3}[/tex]

We can choose (-1, 4) as our point. So, (x₁, y₁) = (-1, 4).

Substitute:

[tex]\displaystyle y-(4)=-\frac{2}{3}(x-(-1))[/tex]

Simplify:

[tex]\displaystyle y-4=-\frac{2}{3}(x+1)[/tex]

Therefore, our answer is B.

what is the difference (2x minus 3) minus (x minus 1)

Answers

Answer:

x-2

Step-by-step explanation:

Answer:

x-2

Step-by-step explanation:

(2x-3) - (x-1)

= 2x-3-x+1

= x-2

the Satya Vansh become an important dynasty in the world of ​

Answers

Answer: it’s 352425262625251452 is 4th of July and I am present

Step-by-step explanation:

how do you find volume of sphere, cylinder, cone ? ... explaining please

Answers

Answer:

hmmmm

Step-by-step explanation:

Cone

The volume of a cone is linked to the volume of a cylinder. A cone is one third of the volume of a cylinder. The volume of a cone is ¹/₃ × π × r² × l. To calculate the volume we multiply these values together. The answer will be written in units³.

Sphere

The volume of a sphere is ⁴/₃ × π × r³. To calculate the volume we multiply these values together. The answer will be written in units³.

Cylinder

The volume of a cylinder is π × r² × l (r is the radius of the circle and l is the length of the cylinder). To calculate the volume we multiply these values together. The answer will be written in units³. It is more accurate to use π = 3.142 or the π button on a calculator.

   A cone is a 3D shape with 2 faces and one edge

   A sphere is a 3D shape. It has one continuous face and no edges

   A cylinder is a type of prism. It has 3 faces and 2 edges

website I used: https://www.bbc.co.uk/bitesize/topics/zrf3cdm/articles/ztqsdxs

I hope this helped!

(easy math question please help) find the value of x question #5

Answers

Answer:

x = 10

Step-by-step explanation:

Angles in a triangle add up to 180°. Using this, we can form the following equation:

71° + 50° + 6x - 1 = 180. A simplified version is this: 120° + 6x = 180

Remove 120° from both sides to get:

6x = 60

Divide both sides to get:

x = 10

Hope this helps!

Currently offering 100 points.

The dot plots below show the ages of students belonging to two groups of music classes:


Based on visual inspection, which group most likely has a lower mean age of music students? Explain your answer using two or three sentences. Make sure to use facts to support your answer.

Answers

Answer:

a ?

Step-by-step explanation:

Answer:

I'm pretty sure it's A? makes more sense

i will mark the brainliest 100 points

Answers

Answer:

4 squared is 16 so 16 times 3.14= 50.24

Step-by-step explanation:

Answer:

4^2 = 16

16 x 3.14 = 50.24 in2

Step-by-step explanation:

Formula of area of a circle:

π x r^2(radius being squared)

To make it more easier:

3.14 or 22/7 x radius^2

Some keywords:

Radius: Half of your diameter or given radius

Radius Squared: Your radius squared, your radius to the power of 2.

Pi: 3.14 or 22/7 depending on what they tell you to use for pi

A sphere p has a volume of 75 cm cube. Find the volume of a sphere whose radius is twice the radius of p​

Answers

Answer:

https://www.gigacalculator.com/calculators/volume-of-sphere-calculator.php this the link for the marth calculate

find the volume of a sphere. Only a single measurement needs to be known in order to compute the volume of a sphere and that is its diameter. For example, if the diameter is known to be 20 feet, then calculate the volume by using the first formula above to get 4/3 x 3.14159 x (20/2) 3 = 4.1866 x 1000 = 4188.79 ft 3 (cubic feet).

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