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Vlad [161]
3 years ago
14

There are 650 toothpicks in a​ regular-sized box. If a jumbo box is made by tripling all the dimensions of the​ regular-sized bo

x, how many toothpicks will the jumbo box​ hold?
Mathematics
1 answer:
tekilochka [14]3 years ago
8 0

Answer:

The jumbo box can hold 17,550 toothpicks

Step-by-step explanation:

The volume of the box can be calculated multiplying all of its three dimensions.

If each dimension of the box is tripled, the new volume will be 3*3*3 times higher, so it will be 27 times higher the old volume.

If in the old volume there are 650 toothpicks, the new volume can have 27 times more, so the number of toothpicks the new box can hold is:

27 * 650 = 17550

The jumbo box can hold 17,550 toothpicks.

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Miss Kito’s car holds 18 gallons of gasoline. As she was driving, she noticed that the fuel gauge indicated that she had 1/5 of
jonny [76]

We will see that the cost of filling the tank is $38.88, and at the final of the trip she will have 4 gallons on the tank.

<h3>How much costs to fill the tank?</h3>

a) The car holds 18 gallons, and it has 1/5 of the tank remaining.

Then in the tank there are:

(1/5)*18 = 3.6 gallons.

Then we need 18 gal - 3.6 gal = 14.4 gal

And each gallon costs $2.70, then to fill the tank, Miss Kito needs:

(14.4)*$2.70 = $38.88

b) Now we know that the car travels 26 miles per gallon, and she needs to travel a total distance of 364 miles.

Then she needs:

\frac{364mi}{26 mi/gal} = 14 gal

To travel that distance, and the car holds 18 gallons, so at the end of the trip, she will have 4 gallons of gasoline in her car.

If you want to learn more about algebra, you can read:

brainly.com/question/4344214

7 0
2 years ago
X = 10 - y
victus00 [196]
I think answer should be d. Please give me brainlest let me know if it’s correct or not okay thanks bye bye
6 0
3 years ago
A cylinder with a height of 12 cm has a volume of 1728 pi cm^ 3 What is the diameter of the cylinder?
blsea [12.9K]

Answer:

Step-by-step explanation:

let r be radius of the cylinder.

volume of cylinder=πr²h

1728π=πr²×12

r²=1728 π/12π=144

r=√144=12

diameter=2r=2×12=24 cm

3 0
3 years ago
Read 2 more answers
WHY CAN'T ANYONE HELP ME? :( Jen Butler has been pricing​ Speed-Pass train fares for a group trip to New York. Three adults and
devlian [24]

Answer:

Children: $13

Adults: $18

Step-by-step explanation:

Well for both sets we can set up the following system of equations,

\left \{ {{3a + 4c = 106} \atop {2a + 3c = 75}} \right.

So first we need to solve for a in the first equation.

3a + 4c = 106

-4c to both sides

3a = -4c + 106

Divide 3 by both sides

<u>a = -4/3c + 35 1/3</u>

Now we plug in that a for a in 2a + 3c = 75.

2(-4/3c + 35 1/3) + 3c = 75

-8/3c + 70 2/3 + 3c = 75

Combine like terms

1/3c + 70 2/3 = 75

-70 2/3 to both sides

1/3c = 4 1/3

Divide 1/3 to both sides

c = 13

Now we can plug in 13 for c in 3a + 4c = 106,

3a + 4(13) = 106

3a + 52 = 106

-52 to both sides

3a = 54

Divide 3 by both sides.

a = 18

<em>Thus,</em>

<em>an adult ticket is $18 and a children's ticket is $13.</em>

<em />

<em>Hope this helps :)</em>

5 0
3 years ago
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Find a third-degree polynomial equation with rational coefficients that has roots –4 and 2 + i
ella [17]
If it has rational coefients and is a polygon
if a+bi is a root then a-bi is also a root

the roots are -4 and 2+i
so then 2-i must also be a root


if the rots of a poly are r1 and r2 then the factors are
f(x)=(x-r1)(x-r2)

roots are -4 and 2+i and 2-i

f(x)=(x-(-4))(x-(2+i))(x-(2-i))
f(x)=(x+4)(x-2-i)(x-2+i)
expand
f(x)=x³-11x+20
8 0
3 years ago
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