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Naddik [55]
3 years ago
8

Yesterday, Jack drove 43.5 miles. He used 11 gallons of gasoline. What is the unit rate for miles per gallon?

Mathematics
1 answer:
Alexxx [7]3 years ago
4 0

Answer:

the unit rate for miles per gallons = 3.95 miles

Step-by-step explanation:

Let x be the unit rate for miles per gallon.

Given:

Jack drove 43.5 miles. He used 11 gallons of gasoline.

Find the unit rate for miles per gallon?

Jack used 11 gallons of gasoline for 43.5 miles.

11 gallons = 43.5 miles

The unit rate for miles per gallon is

unit rate of gallons = total miles divided by total used gallons of gasoline

x=\frac{43.5}{11}

x=3.95miles

Therefore, the unit rate for miles per gallons is 3.95 miles.

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Ainat [17]

Answer:

The inequality \frac{8}{4}\:  is true.

Step-by-step explanation:

Given

\frac{8}{5}

FALSE

Reason: 8/5 or 1.6 is greater than 9/10 or 0.9  

1>\frac{6}{5}

FALSE

Reason: 1 is smaller than 6/5 or (1.1)

\frac{5}{2}

converting mixed number to improper fraction

\frac{5}{2}

FALSE

Reason: 5/2 can not be less than 5/2

\frac{8}{4}\:

2

TRUE

Reason: 2 is indeed smaller than 5/2 or 5.2        ∵ 5/2 = 2.5

Therefore, inequality \frac{8}{4}\:  is true.

7 0
3 years ago
What is the area of a circle with a diameter of 12.6 in.?
Zepler [3.9K]

Hey there! I'm happy to help!

To find the area of a circle, you square the radius and then multiply by pi (3.14 in our case).

The radius is half of the diameter.

12.6/2=6.3

We square this.

6.3²=39.69

We multiply by 3.14

39.69×3.14=124.6266

We round to the nearest hundredth, giving us an area of 124.63 in².

Now you can find the area of a circle! Have a wonderful day! :D

5 0
3 years ago
Suppose that the dollar cost of producing x radios is c(x) = 400 + 20x - 0.2x 2. Find the marginal cost when 30 radios are produ
My name is Ann [436]
C(x) = 400 + 20x - 0.2x²

c(30) = 400 + 20(30) - 0.2(30)²

= 400 + 600 - 0.2(900)
= 1000 - 180
= 820

It costs $820 when 30 radios are produced. 

Marginal cost is how much it would cost to make one MORE of the same product so now we find how much it costs to produce 31 radios and compare the two. 

c(31) = 400 + 20(31) - 0.2(31)²

= 400 + 620 - 0.2(961)
= 1020 - 192.2
= 827.8 or ≈828.

Now we find the difference which means we subtract the two. 

828 - 820 = 8. 

Your marginal cost is $8. 

To compare we can also do 29 radios. 

c(29) = 400 + 20(29) - 0.2(29)² = 811.8 or ≈812

820 - 812 = 8. 
7 0
3 years ago
Please, please help. Answer the question, then explain how you got your answer. <br><br> a= -3
Mice21 [21]
3.5*(-3)///////3.5*(-3)//////all of this parts same
3 0
3 years ago
Teje ratio of adulta to children attedening a new exhibit at the museum was found 8:5 based on this ratio if 390 people attended
Ratling [72]
8x - adults
5x - children

8x+5x=390\\&#10;13x=390\\&#10;x=30\\\\&#10;5x=5\cdot30=150
8 0
3 years ago
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