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balandron [24]
2 years ago
10

David drives 168 miles a week for work. He fills his gas tank twice a week. Each fill up is for 12 gallons. Assuming he uses all

of the gas each week and only uses the car to travel to and from work, what is the gas mileage of his car? (Gas mileage = miles/gallons)
Mathematics
2 answers:
nataly862011 [7]2 years ago
5 0

Answer:

David's car gives mileage 7 miles per gallon

Step-by-step explanation:

David drives in a week = 168 miles.

He fills his gas tank twice a week, each fill up is for 12 gallons = 12 × 2 = 24 gallon per week

To calculate the mileage of David's car we use the formula

Gas mileage = \frac{\text{total miles}}{\text{gallons of fuel}}

= \frac{168}{24}

= 7 miles per gallon

David's car gives mileage 7 miles per gallon

hammer [34]2 years ago
3 0
If you knew how to divide, you could answer this problem.
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Colin spends 1/3 of his wages on rent and 1/4 on food. If he makes £636 per week, how much money does he have left?
uysha [10]

Answer:

£265

Step-by-step explanation:

Total fraction of money spent= \frac{1}{3} +\frac{1}{4}

                                                 = \frac{7}{12}

Actual money spent = \frac{7}{12} * £636

                                  = £371

Money he has left = £(636 - 371)

                               = £265

6 0
2 years ago
Read 2 more answers
It has been estimated that only about 30% of California residents have adequate earthquake supplies. Suppose we are interested i
lidiya [134]

Answer:

Step-by-step explanation:

We are given that 30% of California residents have adequate earthquake supplies.

a) Ramon variable X denotes the number of the california residents that have adequate earthquake insurance

B) x can take value 1 ,2 ,3 ......

C)The distribution of random variable is geometric distribution with parameter p=0.3

The pmf of geometric distribution is

P(X=x)=0.3(1-0.3)^{x-1} , x=1,2,3...

D)P(X=1) or P(X=2)=P(X=1)+P(X=2)

P(X=1) or P(X=2)=0.3(1-0.3)^{1-1}+0.3(1-0.3)^{2-1}=0.51

E)

P(X \geq 3)=1-P(X

F)

E(X)=\frac{1}{p}

p is the resident who does not have adequate earthquake supplies.

p = 1-0.3 = 0.7

E(X)=\frac{1}{0.7}=1.42

G)E(X)=\frac{1}{q}=\frac{1}{0.3}=3.33

8 0
2 years ago
Allen is showing his work in simplifying –8.3 + 9.2 – 4.4 + 3.7. Identify and explain any errors in his work or in his reasoning
skelet666 [1.2K]

Additive inverse; you can't just take -4.4 and make it positive.

4 0
2 years ago
Read 2 more answers
Christina is packing different books into boxes. The paperback books weigh 0.8 pounds each. The hardcover books weigh 1.3 pounds
saw5 [17]

Answer:

P + H ≥ 20

P*0.8 lb + H*1.3 lb ≤ 30lb

Step-by-step explanation:

Let's define H as the number of hardcover books.

Let's define P as the number of paperback books.

Now we have the restrictions:

"... so that there are at least 20 books in each box..."

Then:

P + H ≥ 20   (the total number of books per box is 20 or larger)

"...but the boxes cannot weigh more than 30 pounds."

P*0.8 lb + H*1.3 lb ≤ 30lb (the maximum weight that we can have in the box is 30 pounds)

Then the set of constraints is:

P + H ≥ 20

P*0.8 lb + H*1.3 lb ≤ 30lb

Notice that this system has a lot of possible solutions.

P = 20 and H = 0 is  a solution

P = 21 and H = 0 is a solution.

P = 19 and H = 1 is a solution.

etc...

5 0
2 years ago
Considering that the lower intersection is a translation of the upper intersection what does this mean about the measures of the
RoseWind [281]

Answer:

The lower intersection is a translation of the upper intersection. This means that corresponding angles overlap each other on translation. So, the corresponding angles are congruent.

Step-by-step explanation:

7 0
2 years ago
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