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
jeka57 [31]
2 years ago
7

joyce traveled at an average speed of 60 miles per hour for 4.5 hours and then traveled at an average speed of 35 miles per hour

for 1.5 hours. What was the total distance in miles that joyce traveled during this time ?
Mathematics
1 answer:
SVEN [57.7K]2 years ago
8 0

Answer:

322 1/2 miles

Step-by-step explanation:

Recall how s = d/t ; speed = distance/time.

To effectively solve for distance traveled, rearrange the formula so that distance is on the left-hand side by multiplying speed, and time.

speed × time = distance/time × time

speed × time = distance

distance = speed × time ; d = st.

Now to find the total distance traveled, individually multiply the rate of speed with the time. Time will cancel, and we will get the total mileage.

Given an average speed of 60 mph at a certain time for 4.5 hours, and another average speed of 35 mph at another time of 1.5. Calculate the distance individually, and then add both distances together. Distance 1 = 60 mph × 4.5 h = 60 miles / h × 4.5h = 60 miles × 4.5 = 270 miles.

Distance 2 = 35mph × 1.5h = 35 miles / h × 1.5h = 35 miles × 1.5 = 52 1/2 miles.

Distance 1 + Distance 2 = Total distance.

270 miles + 52 1/2 miles = 322 1/2 miles.

You might be interested in
If sinA=1/2than find tan A​
Elena L [17]

Step-by-step explanation:

Here's the answer I hope it will help you

8 0
2 years ago
Read 2 more answers
Solve for the value of z: 14/5 = z/24<br> ____?
natka813 [3]

Answer:

Step-by-step explanation:

Cross multiplying

5z =14*24

5z = 336

Divide by 5

z = 336/5

Or mixed fraction z= 67(1/5)

Decimal z= 67.2

3 0
2 years ago
Read 2 more answers
Neural tube defects are birth defects of the __________ and __________. A. neurons . . . umbilical cord B. brain . . . spinal co
raketka [301]

Answer:

b

Step-by-step explanation:

6 0
3 years ago
y = c1 cos(5x) + c2 sin(5x) is a two-parameter family of solutions of the second-order DE y'' + 25y = 0. If possible, find a sol
TEA [102]

Answer:

y = 2cos5x-9/5sin5x

Step-by-step explanation:

Given the solution to the differential equation y'' + 25y = 0 to be

y = c1 cos(5x) + c2 sin(5x). In order to find the solution to the differential equation given the boundary conditions y(0) = 1, y'(π) = 9, we need to first get the constant c1 and c2 and substitute the values back into the original solution.

According to the boundary condition y(0) = 2, it means when x = 0, y = 2

On substituting;

2 = c1cos(5(0)) + c2sin(5(0))

2 = c1cos0+c2sin0

2 = c1 + 0

c1 = 2

Substituting the other boundary condition y'(π) = 9, to do that we need to first get the first differential of y(x) i.e y'(x). Given

y(x) = c1cos5x + c2sin5x

y'(x) = -5c1sin5x + 5c2cos5x

If y'(π) = 9, this means when x = π, y'(x) = 9

On substituting;

9 = -5c1sin5π + 5c2cos5π

9 = -5c1(0) + 5c2(-1)

9 = 0-5c2

-5c2 = 9

c2 = -9/5

Substituting c1 = 2 and c2 = -9/5 into the solution to the general differential equation

y = c1 cos(5x) + c2 sin(5x) will give

y = 2cos5x-9/5sin5x

The final expression gives the required solution to the differential equation.

3 0
3 years ago
The scatter plot shows how the cooking time for a beef roast is related to its weight. Which statement is NOT supported by the t
Kisachek [45]

Answer:

the statement that is not supported by the trend in the scatter plot is d) each additional pound adds about one hour of cooking time.

7 0
3 years ago
Read 2 more answers
Other questions:
  • a basketball hoop in front of samantha's house is 4 2/3 feet shirter than her house. the height of samantha house is 20 1/6 feet
    12·1 answer
  • What is 0.774193 rounded to the nearest tenth
    6·2 answers
  • Is 7/8 less then greater then or equal to 2/3
    15·2 answers
  • What would the total bill be of a painting that costs $42.80 with a tax rate of 8%. Please explain how you got the answer.
    11·2 answers
  • Answer the following please :)
    5·1 answer
  • Will give brainliestt
    5·2 answers
  • What does the following rule describe? (x,y)----&gt;(x-2, y+5)
    11·1 answer
  • The figure is a kite. The m &lt; 1 = 125 and m &lt; 3 = 20. Find m &lt; 4.
    8·1 answer
  • - 5/6 x 1/8 as decimal
    7·2 answers
  • ANSWER QUICK PLEASE CORRECTLY !!!!!!! WILL MARK BRIANLIEST ANSWER !!!!!!!!!!!!!!!!!!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!