answer.
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
djverab [1.8K]
2 years ago
8

Diana drove at an average speed of 50 miles an hour for 1.5 hours.she then drove at an average speed of 42 miles an hour for 2.2

5 hours.how far did Diana drive in total
Mathematics
1 answer:
weqwewe [10]2 years ago
4 0

Diana drove 169.5 miles in total.

Step-by-step explanation:

Average speed first = 50 miles

Driving time = 1.5 hours

Distance = Speed*Time

Distance=50*1.5\\Distance=75\ miles

Average speed afterwards = 42 miles

Driving time = 2.25 hours

Distance=Speed*Time

Distance=42*2.25\\Distance=94.5\ miles

Total distance = 75+94.5

Total distance = 169.5 miles

Diana drove 169.5 miles in total.

Keywords: distance, speed

Learn more about speed at:

  • brainly.com/question/7294502
  • brainly.com/question/7490805

#LearnwithBrainly

You might be interested in
The volume of a sphere is 5,000pi m3. What is the surface area of the sphere to the nearest square meter?
tia_tia [17]
Surface area of a sphere = <span>4π<span>r2</span></span>
 the volume of a sphere= <span><span>43</span>π<span>r3</span></span>
 so <span>5000π=<span>4/3</span><span>πr3
</span></span><span>> r^3 = 5000 x 3 / 4 =>
 r^3 = 3750
</span>taking cube root on both sides
r=15.53616
hope it helps
5 0
2 years ago
Read 2 more answers
Craig has $1850 dollars in a bank account that he uses to make automatic payments of $400.73 on his car loan. If Craig stops mak
Ivenika [448]

Given:

Amount in the bank account = $1850

Monthly payment of can loan = $400.73

To find:

When would automatic payments make the value of the account zero?

Solution:

Craig stops making deposits to that account. So, amount $1850 in the bank account is used to make monthly payment of can loan.

On dividing the amount by monthly payment, we get

\dfrac{1850}{400.73}=4.61657

It means, the amount is sufficient for 4 payment but for the 5th payment the amount is not sufficient.

Therefore, the 5th automatic payments make the value of the account zero.

6 0
2 years ago
The length of time a full length movie runs from opening to credits is normally distributed with a mean of 1.9 hours and standar
Llana [10]

Answer:

a) The probability that a random movie is between 1.8 and 2.0 hours = 0.2586.

b) The probability that a random movie is longer than 2.3 hours is 0.0918.

c) The length of movie that is shorter than 94% of the movies is 1.4 hours

Step-by-step explanation:

In the above question, we would solve it using z score formula

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation

a) A random movie is between 1.8 and 2.0 hours

z = (x-μ)/σ,

x1 = 1.8,

x2 = 2.0

μ is the population mean = 1.9

σ is the population standard deviation = 0.3

z1 = (1.8 - 1.9)/0.3

z1 = -1/0.3

z1 = -0.33333

Using the z score table

P(z1 = -0.33) = 0.3707

z2 = (2.0 - 1.9)/0.3

z1 = 1/0.3

z1 = 0.33333

p(z2 = 0.33) = 0.6293

= P(- 0.33 ≤ z ≤ 0.33)

= 0.6293 - 0.3707

= 0.2586

The probability that a random movie is between 1.8 and 2.0 hours = 0.2586

b) A movie is longer than 2.3 hours

z = (x-μ)/σ,

x1 = 2.3

μ is the population mean = 1.9

σ is the population standard deviation = 0.3

z = (2.3 - 1.9)/0.3

z = 4/0.3

z = 1.33333

P(z = 1.33) = 0.90824

P(x>2.3) = = 1 - 0.90824

= 0.091759

≈ 0.0918

The probability that a random movie is longer than 2.3 hours is 0.0918.

3) The length of movie that is shorter than 94% of the movies.

z = (x-μ)/σ

Probability (z ) = 94% = 0.94

Movie that is shorter than 0.94

= P(1 - 0.94) = P(0.06)

Finding the P (x< 0.06) = -1.555

≈ -1.56

μ is the population mean = 1.9

σ is the population standard deviation = 0.3

-1.56 = (x - 1.9)/ 0.3

Cross multiply

-1.56 × 0.3 = x - 1.9

- 0.468 + 1.9 = x

= 1.432 hours

≈ 1.4 hours

Therefore, the length of movie that is shorter than 94% of the movies is 1.4 hours

5 0
2 years ago
A treasure map says that a treasure is buried so that it partitions the distance between a rock and a tree in a 5:9 ratio. Marin
djyliett [7]

Answer:

A)  (7.6, 8.8)

which are the coordinates of the treasure.

Missing Problem Statement:

Given Options:

A) (11.4, 14.2)

B) (7.6, 8.8)

C) (5.7, 7.5)

D) (10.2, 12.6)

I have added the picture showing the traced map onto a coordinate plane to find exact location of treasure.

The coordinates of Tree are (16,21)

Coordinates of rock are (3,2)

Step-by-step explanation:

Let,

Coordinates of treasure be (a,b)

d_{1}= distance from tree to treasure

d_{2}=distance from rock to treasure

d_{1}=\sqrt{(16-x)^2 + (21-y)^2}

d_{2}=\sqrt{x\2 + (y-2)^2}

Given ratio between rock and tree, \frac{d_{2}}{ d_{1}}=\frac{5}{9}= 0.55_______(Equation.1)

which will be used to locate the treasure.

Now we just need to cross check by putting the coordinates given in the options one by one to find out value of d_{1},d_{2} and checking if it satisfies the Equation 1.

Check (A) (11.4, 14.2)

d_{2}= 14.8, d_{1}= 8.2,

\frac{d_{2}}{ d_{1}}= 1.8

Check (C) (5.7, 7.5)

d_{2}= 6.13, d_{1}= 16.98,

\frac{d_{2}}{ d_{1}}= 0.36

Check (D) (10.2, 12.6)

d_{2}= 12.8, d_{1}= 10.2,

\frac{d_{2}}{ d_{1}}= 1.25

Check (B) (7.6, 8.8)

d_{2}= 8.2, d_{1}= 14.8,

\frac{d_{2}}{ d_{1}}= 0.55

Which satisfies Equation 1, such that ratio between rock and tree is 5:9 or  \frac{d_{2}}{ d_{1}}=\frac{5}{9}= 0.55

So, the coordinates of the treasure are (B) (7.6, 8.8)

7 0
2 years ago
Read 2 more answers
33.32 divided by 9.8
kifflom [539]

Answer:

33.32 / 9.8 = 3.4;

Step-by-step explanation:


3 0
2 years ago
Other questions:
  • Michaela pays her cell phone service provider $49.95 per month for 500 minutes. any additional minutes used cost $0.15 each. in
    11·2 answers
  • A circular rug has a radius of 3 ft. What is the circumference of the rug? Use 3.14 for mc014-1.jpg.
    14·2 answers
  • Seth has four plaid shirts and five solid colored shirts hanging together in a closet in his haste to get ready for work he rand
    8·1 answer
  • The volume of a cone is 3πx3 cubic units and its height is x units.
    8·2 answers
  • The seasonal output of a new experimental strain of pepper plants was carefully weighed. The mean weight per plant is 15.0 pound
    13·1 answer
  • A fruit stand sells mangoes for $3.49 per pound, papayas for $1.40 per pound, and coconuts for $1.24 per pound. Part A Which exp
    8·2 answers
  • What is the selling price of an item if the original cost is $784.50 and the markup on the item is 6.5 percent?
    14·1 answer
  • Which correctly describes a cross section of the right rectangular prism if the base is a rectangle measuring 15 inches by 8 inc
    12·1 answer
  • A list has 10 numbers. Each number is a 1, 2, or 3. The average is 2 and the SD is 0. What is the list?
    15·1 answer
  • Diego has $500 in his savings account. each month, he takes out $20 to pay for karate class.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!