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
Sati [7]
3 years ago
15

A woman drives an SUV that gets ​mi/gal (mpg). Her husband drives a hybrid that gets mpg. Every​ week, they travel the same numb

er of miles. They want to improve their combined mpg. They have two options on how they can improve it.
Option​ 1: They can tune the SUV and increase its mileage by mpg and keep the hybrid as it is.
Option​ 2: They can buy a new hybrid that gets mpg and keep the SUV as it is.
Which option will give them a better combined​ mpg?
Mathematics
1 answer:
Masteriza [31]3 years ago
5 0

Hey, there are no numbers added to this problem but if you were to add them as I did down below that is how you solve this question!

Step-by-step explanation:

Suppose s and h are the mileage numbers for the SUV and Hybrid, respectively. Then if each vehicle drives 1 mile, the total gas consumption is

.. 1/s +1/h

Then the combined mileage is

.. 2/(1/s +1/h) = 2sh/(s+h)

Option 1: s=12, h=60

.. mpg = 2*12*60/(12+60) = 20

Option 2: s=11, h=75

.. mpg = 2*11*75/(11 +75) = 1650/86 ≈ 19.2

In summary,

.. Option 1: 20.0 mpg

.. Option 2: 19.2 mpg

You might be interested in
A skirt that usually sells for $40 is on sale for $30. What is the discount percent?
Alik [6]
That would be B) 25% off. Hope this helps!
4 0
4 years ago
Read 2 more answers
How many permutations are possible for 13 objects taken 6 at a time?
Anarel [89]

Answer:

  1,235,520

Step-by-step explanation:

13P6 = 13!/(13-6)! = 13·12·11·10·9·8 = 1,235,520

__

There are 13 ways to choose the first object, 12 ways to choose the second, 11 ways to choose the third, and so on. The 6th object can be chosen 8 ways.

The total number of permutations is the product of all these ways:

  13·12·11·10·9·8 = 1,235,520

7 0
3 years ago
Find the missing length of the triangle.
Dafna1 [17]
There are special properties to certain right triangles.

A 3-4-5 triangle will always be a right triangle. 9 divides into 3, and 15 divides into 5, so you can use ratios to find b.

Since 9 divides into 3, we will use this to set up proportions for the missing value:

\frac{9}{3} =  \frac{b}{4}

Cross multiply the fractions.

3b = 36

Divide both sides by 3.

b = 12

The missing value is 12.
4 0
3 years ago
Read 2 more answers
Find two positive consecutive odd integers whose products is 99.
tensa zangetsu [6.8K]

Answer:

9,11

Step-by-step explanation:

let the numbers be x, x+2 (since consecutive odd integers have a difference of 2)

therefore;

x(x+2)= 99

x²+2x=99

I usually solve the sum like this,

we need to find the nearest square number ( number smaller than the number on the R.H.S)

here, it is 81, whose square root is 9. therefore the solution is 9

verification:

(9)²+2*9=99

81+18=99

99=99

hence, 9 is the solution. therefore the positive odd consecutive integers are  

x=9

x+2=9+2= 11

verification:

9*11=99

99=99

L.H.S=R.H.S

5 0
3 years ago
Grady marks down some $4.59 pens to $4.09 for a week and then marks them back up to $4.59. Find the percent of increase and the
katen-ka-za [31]

Answer:

Percentage decrease ( from $4.09 to $3.59) is 0.1% ( Rounded to nearest tenth)

Percentage increase (from $3.59 to 4.09) is 0.1% ( Rounded to nearest tenth)

Percentages are not same for the both price changes. As we can see from the calculations percentage change from $3.59 to $4.09 is higher.

Step-by-step explanation:

$4.59 has been changed to $4.09.

Percent change = [(Value after  - Value before) / Value before]*100

                          =\frac{4.09-4.59}{4.59}*100%

                          =\frac{-0.5}{4.59}*100%

                          =-0.108932%

                           =-0.1% ( Rounded to nearest tenth)

Percentage decrease is 0.1% ( Rounded to nearest tenth)

Now lets calculate the percentage change from $3.59 to $4.09.

Percent change = [(Value after  - Value before) / Value before]*100

                          =\frac{4.59-4.09}{4.09}*100%

                          =\frac{0.5}{4.09}*100%

                          =0.122249%

                           =0.1% ( Rounded to nearest tenth)

Percentage increase is 0.1% ( Rounded to nearest tenth)

Percentages are not same for the both price changes. As we can see from the calculations percentage change from $3.59 to $4.09 is higher.


5 0
3 years ago
Other questions:
  • A man has 20 coins in his pocket, all of which are dimes and quarters. if the total value of his change is 425 cents, how many d
    7·1 answer
  • What is the value of the digit 3 in 20,320
    7·1 answer
  • Which of these is an example of a random sample?
    15·2 answers
  • Two forces with magnitudes of 150 and 100 pounds act on an object at angles of 30° and 120°, respectively. Find the direction an
    13·1 answer
  • The sum of a number and 7 is -12
    14·2 answers
  • It takes Maya 2 1/2 hours to make cupcakes each batch of cupcakes takes 3/4 of an hour how many batches of cupcakes can she make
    9·1 answer
  • What number do you need here? 6+?+12-2=30
    5·2 answers
  • Carl bought 6 hot dogs and 5 drinks and paid $25.10 Susan purchased 6 hot dogs and 3 drinks and was charged $20.10 what is the c
    15·1 answer
  • Factor 4m - 10m^3<br> PLZ HELP
    12·1 answer
  • Please help. I'm not really good at these kind of problems. Working alone, Dan can do a certain job in three hours and Stan can
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!