1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
qwelly [4]
3 years ago
10

The time t required to drive certain distance varies inversely with the speed r. It takes 2 hours to drive the distance at 40 mi

les per hour,how long will it take to drive the same distance at 45 miles per hour?
Mathematics
1 answer:
Roman55 [17]3 years ago
4 0

Answer:

\frac{16}{9}  hours

Step-by-step explanation:

Whenever 2 quantities (suppose a and b) are inversely proportional to each other, we can write an proportionality equation (with k as proportional constant) as:

a=\frac{k}{b}

Since, here t is INVERSELY PROPORTIONAL to r, we can say:

t=\frac{k}{r}

Firstly, we have t = 2 hour and r = 40 mph, so we find k:

t=\frac{k}{r}\\2=\frac{k}{40}\\k=2*40\\k=80

Now, secondly, we have r = 45 and k = 80, we need to find t:

t=\frac{80}{45}\\t=\frac{16}{9}

So, it would take  \frac{16}{9}  hours

You might be interested in
In AMNO, the measure of Z0=90°, the measure of ZM=13°, and OM = 9.6 feet. Find
algol [13]

Answer:

Hypotenuse MN = 10.54 ft (Approx.)

Step-by-step explanation:

Given:

Base OM = 9.6 ft

Angle θ = 13'

Find:

Hypotenuse MN

Computation:

Using trigonometry function

Cos θ = Base / Hypotenuse

Cos 13 = 9.6 / Hypotenuse

0.97 = 9.6 / Hypotenuse

Hypotenuse MN = 10.54 ft (Approx.)

3 0
3 years ago
What is 56 divided by 8
aleksklad [387]

56 ÷ 8 = 7

8 goes into 56 7 times

Hope this helps

-AaronWiseIsBae

8 0
3 years ago
Read 2 more answers
Determine which is greater, the length of a square whose area is 36 in squared or the height of a cube whose volume is 125 in cu
blagie [28]
I dont really the answer i am sorry i am hust writing this response to get points and ask questions
3 0
3 years ago
A plane is an undefined term because it
igor_vitrenko [27]
No on can explain it but it has a definition.
8 0
3 years ago
Use substitution to solve the following system of linear equations and fill in the following blanks:
marissa [1.9K]

Answer:

x=-4

y=3

z=-5

Step-by-step explanation:

<u>Given:</u>

x+y+z=-6

x-6y-7z=-29

-7y-5z=4

<u>Solve for </u>x<u> in the 1st equation:</u>

x+y+z=-6

x+y=-z-6

x=-y-z-6

<u>Substitute the value of </u>x<u> into the 2nd equation and solve for </u>z<u>:</u>

x-6y-7z=-29

(-y-z-6)-6y-7=-29

-7y-z-13=-29

-7y-z=-16

-z=-16+7y

z=16-7y

<u>Substitute the value of </u>z<u> into the 3rd equation and solve for </u>y<u>:</u>

-7y-5z=4

-7y-5(16-7y)=4

-7y-80+35y=4

28y-80=4

28y=84

y=3

<u>Plug </u>y=3<u> into the solved expression for </u>z<u> and evaluate to solve for </u>z<u>:</u>

z=16-7(3)

z=16-21

z=-5

<u>Plug </u>z=-5<u> into the solved expression for </u>x<u> and evaluate to solve for </u>x<u>:</u>

x=-(3)-(-5)-6

x=-3+5-6

x=2-6

x=-4

Therefore:

x=-4

y=3

z=-5

6 0
3 years ago
Other questions:
  • Give one example of when would use the friendly numbers strategy to substract. Explain why
    14·1 answer
  • What can be true about the expression square root 3 times 2?
    13·2 answers
  • Consider the curve defined by the equation y=6x2+14x. Set up an integral that represents the length of curve from the point (−2,
    12·1 answer
  • Simplify the radical expression. 3sqrt125x^9
    7·2 answers
  • There are 24 different tables to set up for field day.The principal wants the tables set up in equal rows.should she use 3 rows
    10·1 answer
  • Are the triangles above similar?
    9·2 answers
  • What is the volume of the rectangle prism?
    12·1 answer
  • Write 1 3/4 as a decimal number.
    13·1 answer
  • Please please help ! Thank you
    10·1 answer
  • Just a quick question. Is 21 the right answer for y?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!