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miskamm [114]
3 years ago
12

Solve the problem by writing a variation model. The distance that a car can go varies directly as the number of gallons of gasol

ine it consumes. If a car can go 276 miles on 12 gallons of gasoline, how far can it go on a full tank of 19 gallons?
Mathematics
1 answer:
laiz [17]3 years ago
8 0
12gallons: 276 miles
19gallons: ? Miles
Take (19*276)/12=437
You can use this for every problem like this
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Apply the distributive property to factor out the greatest common factor. 18d+12 =18d+12=18, d, plus, 12, equals? (plz help quic
qaws [65]

Answer:

Answer is 6(3 d+2)

Step-by-step explanation:

It is given the expression as 18d+12

Let's find common factor by prime factoring the terms.

18 d =2*3*3*d

12= 2*2*3

Common factors for both terms are 2, 3.

So, G C F = 2*3=6

Take out 6 from both terms to factor further.

We do get 6(3 d+2)

3 0
3 years ago
Find 3/10 of 5/9 in simplest form
Paladinen [302]

Answer:

1/6

Step-by-step explanation:

5 0
3 years ago
Harry has a penny collection with 160 pennies. He plans to increase the size of his collection by a constant term each year for
mel-nik [20]

Answer:

  • A: Harry plans to have approximately 350 pennies at the end of the second year

  • B: Harry plans to have approximately 1,200 pennies at the end of his five-year plan.

  • C: Harry plans to increase his collection by approximately 1,050 pennies over the five-year period.

  • D: Harry will add approximately 250 pennies to his collenction d during the fourth year, according to his plan.

  • E: The coordinates of the point are (3.5, 400)

  • F: Harry will need to add approximately 150 more pennies more than what he had planned by the end of the fourth year, to get back on the plan.

Explanation:

The first thing I did was to write the numbers to the grid and add the points labeled with the letter of the question with which they are related.

  • Every mark on the x-axis corresponds to 1 year.

  • Every mark of the y-axis corresponds to 200 pennies.

See the graph attached.

Question A:

The y-coordinate of the green point labeled A is about half way between 300 and 400, i.e. 350.

Then, Harry plans to have approximately 350 pennies at the end of the second year

Question B:

The green point labeled B has coordinates (5, 1200), meaning that Harry plans to have approximately 1,200 pennies at the end of his five-year plan.

Question C:

Harry started his collection with approximately 150 coins. It is the y-coordinate (the value when x = 0): (200 - 100)/2 = 150.

Thus, Harry plans to increase his collection by approximately 1,200 - 150 = 1,050 pennies over the five-year period.

Question D:

The number of peenies that Harry will add to his collection during the fourth year, according to his plan, is the difference between the number of pennies at the end of the fourth year and the end of the third year.

The green point labeled D has coordinates (4, 800) meaning that his plan is to have approximately 800 pennies.

To find the number of pennies that Harry plans to have at the end of the third year  read the y-coordinate that meets the curve when x = 3. That is approximately (600 + 500) / 2 = 550.

The difference is 800 - 550 = 250 pennies.

Therefore, Harry will add approximately 250 pennies to his collenction d during the fourth year, according to his plan.

Question E:

The blue point labeled E shows the position on the grid of the 400 pennies halfway throuhg the fourth year.

The coordinates of this point is (3.5, 400).

Question F:

According to the plan, the number of pennies at the end of the fourth year would be 800 (green point labeled D on the graph).

Then, Harry will need to add approximately 800 - 400 = 400 pennies.

According to the plan the number of coins at the end of the third year would be

But the plan was to add 800 - 550 = 250.

Thus, Harry will need to add 400 - 250 = 150 more pennies than he had planned, during the fourth year.

7 0
3 years ago
Read 2 more answers
If
OlgaM077 [116]
If you reverse the first two letters
Na
Fe
Hg
Sn

They are actually symbols for elements
Na - Sodium
Fe - Iron
Hg - Mercury
Sn - Tin

Since Sn is a symbol for Tin and each pair of letters imply the starting letter of the element they are symbolizing, the answer is
1) T<span />
5 0
3 years ago
Which of the following lines goes downwards from left to right?
Delicious77 [7]
"Goes downwards from left to right" is basically saying that the slope of this line is negative. We go downhill from left to right. 

y = 2x+5 has a positive slope because m = 2 is the slope (b = 5 is the y intercept)
So choice A is out

Similarly choice B is eliminated as well because the slope is also m = 2

Choice C is false as well. The slope here is m = 2 (think of y = 2x as y = 2x+0)

The only choice with a negative slope is choice D. The slope is m = -2 

This is why the answer is choice D

Side Note: I'm using slope intercept form y = mx+b where m is the slope and b is the y intercept
3 0
3 years ago
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