(PLEASE HELP) What is the sum of the values of luann’s three cards?

The total surface area of a cube is 294 cm ² work out the volume of the cube

mihalych1998 [28]

$\text{ Total Surface Area of cube, with Side $a$ is } 6a^2 \\ \text{ (six times the area of each face)} \\ 6a^2=294 \ m^2 \\ a^2= \frac{294}{6} \\ a^2=\frac{49\times6}{6} \\ a^2=49 \\ a=\sqrt{49} \\ a=7 \ m \\ \text{Volume of cube with Side $a$ is } a^3 \\ V= 7^3=49\times7 \\ \text{volume of the cube is } 343 \ m^3$

6 0

3 years ago

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It takes a train 60 seconds to completely drive through a bridge of 1260 m, and 90 seconds to completely drive through a tunnel

Olegator [25]

The length of train is 120 meters

The speed of train is 25 meter per second

Solution:

The speed is given by formula:

$speed = \frac{distance}{time}$

Given that,

It takes a train 60 seconds to completely drive through a bridge of 1260 m

And 90 seconds to completely drive through a tunnel of 2010 m

Let the length of the train be "x"

The total distance travelled by the train across the bridge is given by:

total distance = x + 1260 + x = 2x + 1260

[ here we use x + x to represent that train completely drives through bridge ]

The time taken is given as 60 seconds

Therefore, the speed is given as:

$speed = \frac{2x+ 1260}{60}$

The total distance travelled by the train through the tunnel is given by:

total distance = x + 2010 + x = 2x + 2010

The time taken is given as 90 seconds

Therefore, the speed is given as:

$speed = \frac{2x+ 2010}{90}$

The speed of the train was the same in both cases.

Equate both speeds

$\frac{2x+ 1260}{60} = \frac{2x+ 2010}{90}$

$\frac{x+630}{30} = \frac{x+1005}{45}$

$45(x+630) = 30(x+1005)\\\\45x + 28350 = 30x + 30150\\\\45x - 30x = 30150 - 28350\\\\15x = 1800\\\\x = 120$

Thus length of train is 120 meters

Find the speed of train:

$speed = \frac{2x+ 1260}{60}\\\\speed = \frac{2(120) + 1260)}{60}\\\\speed = 25$

Thus speed of train is 25 meter per second

5 0

3 years ago

The property taxes on a business were $1035. What was the tax rate of the business office was valued at $115,000?

olya-2409 [2.1K]

Answer:

The rate of tax is 0.9% of the actual business amount.

Step-by-step explanation:

Given that:

Tax amount = $1035

Business value = $115,000

So, for finding the rate, we will have to divide the tax amount by business value and multiply it by 100 as follows:

Rate = 1035/115,000 * 100

By simplifying we get:

Rate = 0.009 *100

Rate = 0.9 %

This means that the tax rate is 0.9% of the original amount.

i hope it will help you!

7 0

3 years ago

Hareem takes a medicine to control his blood pressure. he takes a 25 mg pill in the morning. suppose that 60% of the medicine is

Vikentia [17]

The recursive definition for the amount of the blood pressure medicine in hareem bloodstream after n hours would be $a_1=25, a_n = 0.60_{n-1} +25$

Hence, option B is correct.

<h3>What is the recursive rule?</h3>

A rule is defined such that its definition includes itself.

Example:

F(x) = F(x-1) + c

is one such recursive rule.

Hareem takes medicine to control his blood pressure.

he takes a 25 mg pill in the morning.

Suppose that 60% of the medicine is processed by hareem's body by the time he takes a second 25 mg pill in the evening.

So, the recursive definition for the amount of the blood pressure medicine in hareem bloodstream after n hours would be;

$a_1=25, a_n = 0.60_{n-1} +25$

Hence, option B is correct.

Learn more about the recursive rule here:

brainly.com/question/12620593

#SPJ1

5 0

1 year ago

3 people can build a shed in 8 hours how long would it take 5 people

harkovskaia [24]

Answer:

3howers

Step-by-step explanation:

Step-by-step exaplanation

8 0

3 years ago