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3 years ago

How many liters will you need to equal 20 gallons of lemonade? Round your answer to the nearest tenth of a liter.

Mathematics

2 answers:

kati45 [8]3 years ago

8 0

It is 80 :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :)

a_sh-v [17]3 years ago

5 0

75.7 liters to be exact because the full amt. not rounded is 75.7082. I got this by using conversion tables

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a missile is launched from the ground. its height, h(x), can be represented by a quadratic function in terms of time, x, in seco

fomenos

Answer:

The height of the missile in the air after 11 seconds is 330 feet.

Step-by-step explanation:

The standard form for the quadratic function f(x)= $ax^2 + bx + c$ , which is the function of the parabola model.

We are given two points.

(1, 130) and (2, 240)

Here the first coordinate represents the x (time) and the second coordinate represents h(x), which is height.

Now plug these two coordinates and find the two equations.

(1, 130), the equation is

130 = a.(1)^2 + b(1) + c, where "c" is the initial height. Which is equal to zero.

Therefore, we get

130 = a + b + 0

a + b = 130 -------(1)

Now let's form the second equation using the coordinate (2, 240)

240 = $a(2)^2 + b(2) + 0$

240 = 4a + 2b -------------(2)

Now let's solve the equations (1) and (2) and find the value of "a" and "b"

a + b = 130 can be written as a = 130 - b

Here we can use the substitution method.

Now plug in a = 130 - b in the second equation, we get

240 = 4(130 - b) + 2b

240 = 520 - 4b + 2b

240 = 520 - 2b

2b = 520 - 240

2b = 280

Dividing both sides by 2, we get

b = 140

Now plug in b = 140 in a = 130 -b and find the value of a

a = 130 - 140

a = -10

Now we got a = -10 and b = 140.

We plug in a = -10 and b = 140 in the general form, we gety

h(x) = $-10x^2 + 140x + c$

Where c is the initial height, which is equal to 0.

h(x) = $-10x^2 + 140x$

Now plug in x = 11 seconds and find the height.

h(11) = -10(11)^2 + 140 (11)

= -10 (121) + 1540

= - 1210 + 1540

h(11) = 330 feet,

Therefore, the height of the missile in the air after 11 seconds is 330 feet.

6 0

3 years ago

Scott grades 15 papers every 15 minutes. how many papers can scott grade in 130 mintues? round to the nearest tenth?

Alja [10]

Answer:

130 papers.

Step-by-step explanation:

1 min per paper therefore 130 mins = 130 papers

7 0

3 years ago

Read 2 more answers

A taxicab charges $3.00 per person

Delicious77 [7]

Answer:

I believe the answer would be 20 miles max for one passenger.

Step-by-step explanation:

This is because if you create an equation out of this, knowing that only one passenger will be riding, you will get:

$3.00+$1.25x=$28 ($3 added too $1.25 times the number of miles (x) which equals the total amount you have ($28)).

x being the number of miles (so we need to calculate for x)

$3 + $1.25x = $28

-subtract 3 on both sides-

$1.25x=$28-$3

$1.25x=$25

-divide by 1.25 on both sides-

x=$25/$1.25

x=20 miles

Not sure if all calculations are correct, but I hope this helps :)!

6 0

3 years ago

The domain of the function f(x) = 3x3 is {2, 5}. What is the function’s range?

Sholpan [36]

The domain is {2,5} which the set containing the numbers 2 and 5. I'm assuming that the function is f(x) = 3x3. So...

when x = 2, f(x) = 3*23 = 3*8 = 24.
when x = 5, f(x) = 3*53 = 3*125 = 375.

so this means the functions range is {24, 375}

hope this helped you out

6 0

3 years ago

Can someone please explain step by step on how I can get the answer? If so I’ll mark you brainliest

krok68 [10]

Answer:

Step-by-step explanation:

18 factors to 2, 3, 3

45 factors down to 5,3,3

6 0

3 years ago