Help with sentence inequalities? <br> Two times a number x is greater than 3.

What is the decimal of 2 1/3

34kurt

Answer:

2.3333333333

Step-by-step explanation:

2+1/3

= 2.3333333333

= 233.33333333%

7 0

3 years ago

A water tank is in the shape of a cylinder with a diameter of 20 feet and a height of 20 feet. The tank is 70% full. About how m

fomenos

Answer:

32901 gallons

Step-by-step explanation:

First, we find the volume of the cylindrical water tank when it is full.

The volume of a cylinder is given as:

V = $\pi r^2h$

where r = radius and h = height of the cylinder

The diameter of the tank is 20 feet, hence, its radius is 10 feet.

Volume, V, is therefore:

V = $\pi * 10^2*20 = 6283.19 ft^3$

This is the volume of the tank, when it is full.

When it is 70% full, the volume will be:

$\frac{70}{100} * 6283.19 = 4398.23 ft^3$

1 cubic foot ( $ft^3$ ) is 7.48 gallons.

Therefore, the volume of the 70% full tank in gallons will be:

4398.23 * 7.48 = 32901.05 gallons ≅ 32901 gallons

The tank contains 32901 gallons of water.

7 0

2 years ago

Read 2 more answers

Maria has three children. there is two years age difference between each child. the total ages of all three children is 36 years

BaLLatris [955]

T= Tina's age
t+2= second child
t+4= third child
36= age of all children

Add the ages of all children equal to 36 years. Add 2 to each age because there is 2 years age difference between each child.

t + (t+2) + (t+4)= 36
combine like terms
3t + 6= 36
subtract 6 from both sides
3t= 30
divide both sides by 3
t= 10 Tina's age

t+2= 12
(10)+2= 12 age of second child

t+4= 14
(10)+4= 14 age of third child

ANSWER: The formula that will calculate Tina's age is t + (t+2) + (t+4)= 36.

Hope this helps! :)

6 0

3 years ago

13) Mark walks 3.4 miles per day. How<br> many days will it take him to walk 17.34<br> miles?

HACTEHA [7]

Answer:

5.1 days

Step-by-step explanation:

$3.4 \: miles = 1 \: day \\ 17.34 \: miles \: = x \: days$

Cross Multiply

$3.4x = 17.34$

Divide both sides of the equation by 3.4

$\frac{3.4x}{3.4} = \frac{17.34}{3.4}$

$x = 5.1$

8 0

3 years ago

Read 2 more answers

Jennifer serves the volleyball to Marsha with an upward velocity of 10.5 ft/s. The ball is 5 feet above the ground when she stri

Katarina [22]

Answer:

0.98 seconds

Step-by-step explanation:

We assume the height of the volleyball is described by the equation for ballistic motion. We want to find the time it takes for the height to become zero.

__

<h3>motion equation</h3>

The general form of the equation of height for ballistic motion is ...

$h(t)=-16t^2+v_0t+h_0\qquad\text{$v_0$ and $h_0$ are the initial velocity and height}$

The coefficient 16 in the equation is an approximation of 1/2g, where g is the acceleration due to gravity in ft/s². This means the units of time and distance are expected to be seconds and feet.

For the problem at hand, the initial velocity and height are 10.5 ft/s and 5 ft. Then the height equation is ...

h(t) = -16t² +10.5t +5

__

<h3>reaction time</h3>

Marsha has until the ball hits the ground to react to the serve. To find out how long that is, we need to solve the height equation for t when h=0. This is most easily done using the quadratic formula with ...

a = -16
b = 10.5
c = 5

The solution is ...

$t=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}= \dfrac{-10.5\pm\sqrt{10.5^2-4(-16)(5)}}{2(-16)}\\\\=\dfrac{10.5\pm\sqrt{430.25}}{32}=\dfrac{21\pm\sqrt{1721}}{64}$

The positive solution is ...

t ≈ 0.976327 ≈ 0.98

Marsha has about 0.98 seconds to react before the volleyball hits the ground.

_____

<em>Additional comment</em>

After about 0.33 seconds, Marsha knows she doesn't need to react at all. The serve will not clear the net. Its maximum height is about 6' 8 5/8". A women's volleyball net is 7' 4 1/8" high. Jennifer's serve velocity must be at least 12.3 ft/s for the ball to go over the net. With that upward velocity, Marsha has about 1.06 seconds to react.

4 0

1 year ago

Help with sentence inequalities? Two times a number x is greater than 3.