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
ioda
3 years ago
8

7. During a person's commute to school, she spends 10 minutes driving 30 miles per hour (mph) and 5 minutes stopped at red light

s. (a) (1 pt.) Find the distance of her commute.​
Mathematics
1 answer:
Andrej [43]3 years ago
5 0

Answer:

Total distance = 5 miles

Step-by-step explanation:

Given:

Total time for drive = 10 min = 10 / 60 = 1/6 hour

Time for stop = 5 min

Speed = 30 miles pr hour

Find:

Total distance

Computation:

Total distance = Speed × time

Total distance = 30 × (1/6)

Total distance = 5 miles

You might be interested in
A container can hold quarts of 8 3/5cooking oil. It contains 1 1/3 quarts of cooking oil. How much more cooking oil is needed to
Mamont248 [21]

Answer:

4 14/15

Step-by-step explanation:

8 3/5 - 11/3

8 9/15 - 55/15

8 9/15 - 3 10/15

7 24/15 - 3 10/15

4 14/15

6 0
3 years ago
A jar made of 3/16-inch-thick glass has an inside radius of 3.00 inches and a total height of 6.00 inches (including the bottom
Nady [450]

Answer:

a) 0.012ft³

b)2.09 lb

c)0.791 lb

d) 0.012ft³

e) 6 inches

Step-by-step explanation:

a) To determine the volume of the shell of the jar we must determine the volume of the hollow cylinder:

V=3.1416\cdot{h}\cdot{(R^2-r^2)

Where r is the inside radius and R the outer radius.

V=3.1416\cdot{6}\cdot{(3.1875^2-3^2)=21.87

convert to cubic ft:

=21.87\cdot{0.0005787}=0.01266

The volume of the glass shell is 0.012 ft³

b) The weight of the cylinder can be determined because we have the volume and the density. Weight is defined as the product of volume and density:

M=p\cdot{v}=165\cdot{0.01266}=2.09

The weight of the jar is 2.09 lb

c) The displacement of water is just the density of water mutliplied by the volume of the jar:#

=0.01266\cdot{62.5}=0.79

0.791 lb of water will be displaced.

d) The volume of the water displaced is:

[tex]=0.791/62.5=0.01266

e) The jar will be fully submerged because the density of the jar is larger than water.

5 0
3 years ago
At the movies, you order 3 boxes of popcorn and a bottle of water. The cost of the bottle of water Is $1.75. Your total is $9.25
Phoenix [80]
If popcorn is p and water is w the equation can be written as

3p + w = 9.25

because there was 3 boxes of popcorn and one water (hence the coefficients) and the total is 9.25

then plug in 1.75 for w the price of water:

3p+ 1.75 = 9.25

you can move stuff around algebraically now (subtract 1.75 on both sides and divide by three on both aides) to get the cost of one box of popcorn (p).

The answer is 2.50
8 0
3 years ago
Find the tangent line equation of the curve at the given point. Y=arcsin(7x) at the point where x=sqrt2/14
Mumz [18]

Answer:

Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})

Step-by-step explanation:

The equation of the curve is

Y = sin^{-1}(7x)

To find the equation of tangent we need to differentiate this equation w.r.t x

So, differentiating we get

Y'=\frac{7}{\sqrt{1-49x^2} }

This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is  x = \sqrt{\frac{1}{7} }

Then slope would accordingly be

Y'=\frac{7}{\sqrt{1-49/49} }

= ∞

For, x = \sqrt{\frac{1}{7} }, Y = sin^{-1}(7/7)= \pi/2

Equation of tangent line, in the point slope form, would be Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})

4 0
3 years ago
Is 3(2)^x equivalent to 1.5(2^x)(2^1)
Volgvan

Answer:

Yes

Step-by-step explanation:

1.5(2^x)(2^1)

1.5x2^x x2

3x2^x

6 0
3 years ago
Other questions:
  • HELP ME PLZ PPL!!!!
    15·1 answer
  • Please help! Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact valu
    6·1 answer
  • A triangle has angles measuring 2x°, x° and x°. Write an equation that can be solved to find the value of x. Then, find the meas
    7·1 answer
  • A science fair poster is a rectangle 3 feet long and 2 feet wide. What is the area of the poster in square inches?
    8·1 answer
  • Multiple fraction them simply 2/50 x5/18
    15·1 answer
  • Find the X & Y value
    10·1 answer
  • Simplify the inequality<br> 1/3 + 1/6 &lt;= 1/x
    7·1 answer
  • Michael owns a bike shop. He and his employees can fix 6 bikes every hour. If his bike shop is open between the hours of 9am and
    7·2 answers
  • If each interior angle of a regular polygon is 168 °, then the number of sides of the polygon is ….
    15·2 answers
  • Age of father is 13 times the age of his son , it will be only five times after four years find the present age of the father
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!