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aleksley [76]
3 years ago
6

Jessica is shopping for a new car. She found a blue car that has a 12-gallon gas tank and can go 384 miles on one tank. She foun

d a silver car that has a 14-gallon gas tank and can go 504 miles on one tank. Which car gets better gas mileage?
Mathematics
1 answer:
adelina 88 [10]3 years ago
5 0

Answer:

Silver car

Step-by-step explanation:

It seems pretty hard but it's actually REALLY easy. gas mileage means the number of miles you can go on a particular amount of gallons. But the gallons have to be the same for both cars so that it's fair.

so let's go with 10 gallons. pretty broad number right?

so to get 12 gallons(the gallons for the blue car) to 10, We divide it by 12 then multiply it by 10. Try it yourself, (12/12)*10=???

then we do that to 384 (the miles for the blue car)

(384/12)*10=320

so 320 is the mileage for the first car. Repeat the steps for the silver car!

(14/14)*10=10

so then: (504/14)*10= 360.

So which is bigger, 320 or 360?

360 is bigger, meaning it has better gas mileage.

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4. A bag contains five red marbles, two orange marbles, one yellow marble, and two green marbles. Two marbles are drawn from the
Vitek1552 [10]

Answer:

  • C. 0.08889

Step-by-step explanation:

<u>Total number of marbles:</u>

  • 5 + 2 + 1 + 2 = 10

<u>There are two possibilities</u>

  • Orange then green or green the orange

<u>The probabilities are:</u>

  • P(o&g) = 2/10*2/9 = 2/45
  • P(g&o) =2/10*2/9 = 2/45

<u>Required probability is:</u>

  • P = 2/45*2 = 4/45 =  0.08889

Correct choice is C

4 0
2 years ago
There are 75 boys, 60 girls and 15 teachers at a kindergarten.
zalisa [80]

Answer:

boys:girls:teachers

5      :    4        :1

Step-by-step explanation:

75 boys, 60 girls and 15 teachers

boys:girls:teachers

75     : 60  :15

Divide each  term by 15

75 /15 : 60/15  :15/15

5      :    4        :1

5 0
3 years ago
How can you tell if the expression 7x-4 and 6x-4-x are equivalent
olga_2 [115]

Answer:

see below

Step-by-step explanation:

7x-4          6x-4-x

Combine like terms on the second expression

7x -4          6x -x -4

                 5x -4

These are not equivalent  expressions

7x -4  does not equal 5x-4

8 0
3 years ago
A boy has 3 red , 2 yellow and 3 green marbles. In how many ways can the boy arrange the marbles in a line if: a) Marbles of the
Ilya [14]

Answer:

The total number of different arrangements is 560.

Step-by-step explanation:

A multiset is a collection of objects, just like a set, but can contain an object more than once.

The multiplicity of a particular type of object is the number of times objects of that type appear in a multiset.

Permutations of Multisets Theorem.

The number of ordered n-tuples (or permutations with repetition) on a collection or multiset of n objects, where there are k kinds of objects and object kind 1 occurs with multiplicity n_1, object kind 2 occurs with multiplicity n_2, ... , and object kind k occurs with multiplicity n_k is:

                                                 \begin{equation*}\frac{n!}{n_1!*n_2!*\dots * n_k!}\end{equation*}

We know that a boy has 3 red, 2 yellow and 3 green marbles. In this case we have n = 8.

If marbles of the same color are indistinguishable, then the total number of different arrangements is

{8 \choose 3, 2, 3}  = \frac{8 !}{3 ! 2 ! 3 !} = \frac{8\cdot \:7\cdot \:6\cdot \:5\cdot \:4}{2!\cdot \:3!}=\frac{6720}{2!\cdot \:3!}=\frac{6720}{12}=560

8 0
3 years ago
I NEED HELP PLEASEE
Alborosie

Answer:

i cant see the picture

Step-by-step explanation:

4 0
3 years ago
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