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3 years ago

Stacy hits the jackpot one day at the gumball machine. She puts in a quarter and gets 4 gumballs rather than I

Mathematics

2 answers:

Gwar [14]3 years ago

5 0

Answer:

V of 4 gumballs is 904.32 mm square

Step-by-step explanation:

First list down the given values

r=6 mm pie value=3.14

secondly

state the formula to find the volume/circumference of a circle I.e. 2 Pi R Square

3. Put values in that formula

2×3.14×(6 mm)square

6.28×36 mm square=226.08 mm square

4. multiply the volume of one ball with four to find the volume of 4 gumballs

226.08×4=904.32 mm square

Therefore volume of 4 gumballs is 904.32 mm square

Svet_ta [14]3 years ago

4 0

Answer:

3620.57

Step-by-step explanation:

Given: Stacy hits the jackpot one day at the gumball machine and won 4 gumballs, radius of each gumball is 6 mm

To find: Total volume of all 4 gumballs

Solution:

Gumball is Spherical

Volume of Sphere = (4/3)πr³

r = Radius of Sphere

r = 6mm

Volume of 1 gumball = (4/3)π * 6³

= 288π mm³

Volume of 4 gumballs = 4 * 288π

= 1152π mm³

using π = 22/7

= 3,620.57 mm³

or using π = 3.14

= 3,617.28 mm³

Volume of 4 gumballs = 288π mm³ ≈ 3,620 mm³

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Find the value of (+328.62) – (+98.6). A. 230.02 B. 427.22 C. –427.22 D. –230.02

Jet001 [13]

Answer:

Option A - $(+328.62)-(+98.6)=230.02$

Step-by-step explanation:

We have given the expression $(+328.62)-(+98.6)$

We have to find the value of the expression ?

Solution :

Step 1 - Write the expression

$=(+328.62)-(+98.6)$

Step 2 - Applying symbol rule i.e. multiplication of positive into negative is always negative, $(-)(+)=(-)$

$=328.62-98.6$

Step 3 - Solve

$=230.02$

Therefore, The value of the expression is $(+328.62)-(+98.6)=230.02$

So, Option A is correct.

7 0

3 years ago

An object is acted upon by the forces F1=<10,6,4> and F2=<0,3,9>. Find the force F3 that must act on the object

murzikaleks [220]

$\vec F_3=\langle x,y,z\rangle$ is a force vector such that

$\vec F_1+\vec F_2+\vec F_3=\vec0$

$\implies\langle10,6,4\rangle+\langle0,3,9\rangle+\langle x,y,z\rangle=\langle0,0,0\rangle$

$\implies\begin{cases}10+x=0\\9+y=0\\13+z=0\end{cases}\implies x=-10,y=-9,z=-13$

So the missing force is

$\boxed{\vec F_3=\langle-10,-9,-13\rangle}$

8 0

3 years ago

A first number is nine less than a second. The sum of the numbers is 45. Find the numbers.

oee [108]

Answer:

The first number is 18 and the second number is 27.

Step-by-step explanation:

Given:

A first number is nine less than a second.

The sum of the numbers is 45.

Now, to find the numbers.

Let the second number be $x.$

And the first number be $x-9.$

The sum of the both numbers is 45.

According to question:

$(x-9)+x=45.$

⇒ $x-9+x=45.$

⇒ $2x-9=45.$

Adding both sides by 9 we get:

⇒ $2x=54.$

Dividing both sides by 2 we get:

⇒ $x=27.$

The second number = 27.

Now, to get the first number we put the value of $x$ :

$x-9$

$=27-9$

$=18.$

Therefore, the first number is 18 and the second number is 27.

4 0

3 years ago

During a drought, the water level in a reservoir dropped 3 in. each week for 5 straight weeks. Express the overall change in wat

aliina [53]

Answer:

v = -3w

Step-by-step explanation:

water level/volume = -3 x weeks

v = -3w

6 0

2 years ago

Tess needs to buy sand for her children’s playground. The sand costs $8 per ton, and there is a delivery cost of $50 with each o

Butoxors [25]

Answer:

All positive rational numbers greater than 50

Step-by-step explanation:

Since the delivery cost is fixed per trip, the cost incurred can be represented by the equation

y(x)=8x+50 so in case Tess wants only 1 tone, the cost will be y(x)=8(1)+50=58

Therefore, it's proper to conclude that all numbers in the possible range are positive rational numbers greater than 50

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3 years ago