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
grin007 [14]
3 years ago
12

Leah drives 45 miles per hour for 2 hours then 32 miles per hour for 90 minutes . What is her average speed

Mathematics
2 answers:
luda_lava [24]3 years ago
5 0

average speed = \frac{total distance}{total time}

45 mph for 2 hours to distance = 45miles x 2 hours = 90 miles

convert 90 minutes to hours: \frac{90 minutes}{60 minutes} × 1 hour =1.5 hours

32 mph for 1.5 hours = 48 miles

average speed = \frac{90+48 miles}{2+1.5 hours} = 39.429 miles/hour

Citrus2011 [14]3 years ago
3 0

Answer:

 =39.42857143 miles per hour

Step-by-step explanation:

To find the average speed, we need to the total distance and the total time

Distance 1

45 miles for 2 hours

45*2 = 90 miles

Distance 2

90 minutes * 1 hour/60 minutes = 1.5 hours

32 miles * 1.5 hours =48 miles

The total distance = 90+48 = 138 miles

The total time = 2 +1.5 = 3.5 hour

The average speed = total distance/ total time

                                  = 138/3.5

                                  =39.42857143 miles per hour

You might be interested in
Can someone please do number 12 and 14 for me ?
KengaRu [80]
12. Yes, because the diagonals of a parallelogram bisect each other.
14. Yes, a parallelogram has opposite sides that are equal.

Hope this helps =)
3 0
3 years ago
CD is perpendicular to AB and passes through point C5, 12).
Aleksandr-060686 [28]

Answer:

x intercept of CD = 17

Step-by-step explanation:

We are given a line AB with its end coordinates. and Another line segment CD which is perpendicular to AB. We have the coordinates of C , and we are asked to find the x intercept of line CD.

For that we need to find the equation of CD

we have coordinates of C , and hence if we have slope of CD we can find equation of CD

Slope of CD can be determine with the help of slope of AB as CD⊥ AB

So, the slope of CD mCD = -\frac{1}{mAB}

Hence we start from determining slope of AB

slope is given as

m= \frac{y_2-y_1}{x_2-x_1}

m= \frac{14-(-3)}{7-(-10)}=\frac{17}{17}=1

Hence mAB=1

There fore mCD=-1

(∵  Product of Slopes of two perpendicular lines is always -1)

Now we find the equation of CD with the help of slope -1 and coordinates of C(5,12)

m=\frac{y-y_1}{x-x_1}

-1=\frac{y-12}{x-5}

-x+5=y-12

y=-x+17

Hence we have our equation , now in order to find the x intercept we keep y = 0 in it and solve for x

0=-x+17

x=17

Hence the x intercept is 17

8 0
2 years ago
A circle centered at (-2,3) and contains point (5,9) which represents the equation
SIZIF [17.4K]
The standard form of the equation of a circle is (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center of the circle, (x,y) is a point of the circle, and r is the length of the radius of the circle. When the equation of a circle is written, h,k, and r are numbers, while x and y are still variables. (x-2)^2 + (y-k)^2 = 16 is an example of a circle. The problem gives us two of the three things that a circle has, a point (5,9) and the center (-2,3). We need to find the radius in order to write the equation. We substitute -2 for h, 3 for k, 5 for x, and 9 for y to get (5 - (-2))^2 + (9 - 3)^2 = r^2 We simplify: 49 + 36 = r^2, r^2 = 85. We only need to know r^2 because the equation of a circle has r^2. We now have all the information to write the equation of a circle. (x + 2)^2 + (y - 3)^2 = 85.
8 0
3 years ago
Dustin has only nickels and quarters in his piggy bank. He has 49 coins total for a combination value of $8.85. How many of each
stepan [7]

Answer: he has 32 quarters and 17 nickels.

Step-by-step explanation:

The worth of a quarter is 25 cents. Converting to dollars, it becomes

25/100 = $0.25

The worth of a nickel is 5 cents. Converting to dollars, it becomes

5/100 = $0.05

Let x represent the number of quarters that he has in her wallet.

Let y represent the number of nickels that she has in her wallet.

He has 49 coins total. This means that

x + y = 49

the total value of the coins is $8.85. This means that

0.25x + 0.05y = 8.85 - - - - - - - - - - 1

Substituting x = 49 - y into equation 1, it becomes

0.25(49 - y) + 0.05y = 8.85

12.25 - 0.25y + 0.05y = 8.85

- 0.25y + 0.05y = 8.85 - 12.25

0.2y = 3.4

y = 3.4/0.2

y = 17

x = 49 - y = 49 - 17

x = 32

7 0
3 years ago
What is the total number of digits required in numbering a book that has 1724 pages?
Reptile [31]

Answer:

5,789

Step-by-step explanation:

I got 5,789 because there are 9 one digit numbers. 1-9 -> 9x1=9. There are 90 two digit numbers. (10-99)-> 90x2=180. There are 900 three digit numbers. (100-999)-> 900x3=2700. There are 725 four digit numbers. (1000-1724)-> 724x4= 2900. Then, I added 9+180+2700+2900=5789.

In conclusion, the total number of digits required in numbering a book that has 1724 pages is 5789.

8 0
3 years ago
Other questions:
  • Hannah and Anthony are sibling who have ages that are consecutive odd integers. The sum of their ages is 92. Which equations cou
    5·2 answers
  • HELLLLP (will mark brainiest)
    15·2 answers
  • What is the value of x in the equation –2.4x = 8.4?
    11·2 answers
  • What is the slope of the line shown below?
    7·1 answer
  • Jodi plans to make 5 dozen cupcakes. The recipe she uses is for 2 dozen cupcakes and calls for 1 1/2 cups of flour. How many cup
    11·2 answers
  • What is 25% of $8? $ Submit​
    14·1 answer
  • Simplify 3(-6+4) please
    10·2 answers
  • Please help with the blue dots (probability)
    14·2 answers
  • Answer questions 25,26 now please please please help me
    15·2 answers
  • Help show work please.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!