If a 143-mile trip took 5 1/2 gallons of gas, how many miles can be driven with a full tank of 14 gallons?

Answers

Answer 1

Answer: Set up the proportion: 143/5.5 = x/14

Cross-multiply the proportion: (143) (14) = 5.5 x

Divide each side by 5.5 : x = (143) (14) / 5.5 = 364 miles

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Lisa is seven times as old as her brother. She will be four times as old as her brother in three years. Represent the above situation in mathematical form.

Answers

Answer:

Let B = the brothers age now

Let L = Lisa's age now

Then today:

L = 7B

And three years from now, Lisa's current age plus 3 equals 4 times the brothers age plus 3 represented by the following formula

L+3 = 4(B+3)

Now we can substitute the value of L in the first formula for L in the second formula

7B + 3 = 4(B+3)

So the answer is C

Step-by-step explanation:

Pls help you would be a life saverYou can write the answer as:

1.(first second or third)
2.( first second or third)
3.(first second or third)

Answers

Step-by-step explanation:

1.(first second or third)

The height of an object after it is released can be modeled by the function f(t)=-16t^2+vt+s, where t is the number of seconds after the object is released, v is the upward speed at release, and s is the starting height. If a quarterback throws a ball from his hand 6 feet in the air at a speed of 25 feet per second, how much time does his teammate have to catch the ball?about 1.45 seconds
about 1.77 seconds
about 6 seconds
about 25 seconds

Answers

Answer about 1.77 seconds.

f(t) = -16 t^2 + 25t + 6

f(t) = height.

hieght = 0 = -16t^2 + 25t + 6

Find t using the quadratic formula,

t = ( - 25 +/- √[25^2 - 4 (-16)(6)] ) / [2*(-16)]

t = [-25 +/- √ (625 + 384) ] / -32

t = [-25 +/- 31.76] / -32.

You will obtain two results one positive and one negative. Take the positive only as the other one has no physical meaning. t = 1.77 s.

B.) about 1.77 seconds

do you think making a table is the best way to find the total area of the rooms given in the example is there another problem solving strategy you think would work just as well or better describe the alternate method and why you think it works

Answers

Well,

First, we'd need to see what the problem is. If it's an illustration with all of the dimensions of the rooms labeled, you can just write the area inside each room and then make a list of the values. From there you can just add them up. So making a table is just a more formal way of organizing your data. The grids really do not offer much help in adding up the areas.

John is going to invest $820 and leave it in an account for 19 years. Assuming the interest is compounded quarterly, what interest rate, to the nearest tenth of a percent, would be required in order for John to end up with $1,830?

Answers

John would need an interest rate of 7.6% in order to end up with $1,830 after 19 years of investing $820 compounded quarterly

Find th equation of the line below.If necessary, use a slash to indicate a division bar..(2,14) (1,7)

Answers

$(2,14), \ \ (1,7)\n\n\n First \ find \ the \ slope \ of \ the \ line \ thru \ the \ points \: \n \n m= (y_(2)-y_(1))/(x_(2)-x_(1) ) \n \nm=( 7-14)/(1-2) = ( -7)/(-1)=7 \n \n Use \ point \ form \ of \ a \ line\ with \ one \ point: \n \n y-y_(1) =m(x-x _(1)) \n \nm=7, \ \ x_(1)=2, \ \ y_(1)=14\n\ny-14 =7(x-2)\n\ny = 7 x-14+14 \n\n y=7x$

General equation for line:
y=ax+b
Putting those points to equation:
(2,14)
14=a*2+b
(1,7)
7=a+b
From substituting method:
a=7-b
14=(7-b)*2+b
14=14-2b+b
b=0
a=7
y=7x - result

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Select the proper order from least to greatest for 1/2 ,5/6 , 2/7 , 4/2a) 4/2 , 5/6, 1/2, 2/7 b) 4/2, 2/7, /6, 1/2 c) 2/7, 1/2, 5/6, 4/2 d) 2/7, 5/6, 1/2, 4/2

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Jasmine wants to use her savings of $1128 to buy video games and music CDs. The total price of the music CDs she bought was $72. The video games cost $43 each. What is the maximum number of video games that Jasmine can buy with her savings?