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3 years ago

PLEASE HELP!!

Mathematics

1 answer:

navik [9.2K]3 years ago

6 0

Answer:

B) 8x - 20 + 2x = 11

Step-by-step explanation:

4(2x - 5) + 2x = 11

use pemdas

parenthesis comes first

open the parenthesis

4 * 2x - 4 * 5 + 2x = 11

8x - 20 + 2x = 11

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What is 0.4% writen as a decimal, and why thanks :)

Alex777 [14]

<span>To convert a percentage to a decimal divide by 100: 0.4% = 0.4 ÷ 100 = 0.004

</span><span>0.04</span>

4 0

2 years ago

Read 2 more answers

Dana can travel 9 miles in her rowboat in 6 hours against the current. With the current, it takes 4 hours to row the same distan

taurus [48]

Answer: The equations are

6x - 6y = 9

4x + 4y = 9

Step-by-step explanation:

Let x represent the speed of the row boat in still water.

Let y represent the speed of the current.

Dana can travel 9 miles in her rowboat in 6 hours against the current. This means that the total speed at which she travelled is

(x - y) miles per hour.

Distance = speed × time

Distance travelled against the current is expressed as

9 = 6(x - y)

6x - 6y = 9

With the current, it takes 4 hours to row the same distance. This means that the total speed at which she travelled is

(x + y) miles per hour.

Distance travelled with the current is expressed as

9 = 4(x + y)

4x + 4y = 9

7 0

3 years ago

The average wind speed at a local weather station is 34.8 miles per hour. The highest speed ever recorded the stations 318.0 mil

lukranit [14]

Answer:

$Difference = 283.2\ miles/hour$

Step-by-step explanation:

Given

$Average\ Speed = 34.8\ miles/hour$

$Highest\ Speed = 318.0\ miles/hour$

Required

Determine the difference in the highest speed and the average speed

$Difference = Highest\ Speed - Average\ Speed$

$Difference = 318.0\ miles/hour - 34.8\ miles/hour$

$Difference = 283.2\ miles/hour$

<em>Hence, the highest speed is 283.2 miles/hour faster than the average speed</em>

3 0

3 years ago

A theater group made appearances in two cities. The hotel charge before tax in the second city was $500 lower than in the first.

Mazyrski [523]

Answer:

First city: $5,500

Second city: $5,000

Step-by-step explanation:

Let's define x as the hotel price in the first city and y the hotel price in the second city. We can start with this equation:

y = x - 500 (The hotel before tax in the 2nd city was $500 lower than in the 1st.)

Then we can say

0.065x + 0.045y = 582.50 (the sum of the tax amounts were $582.50)

We place the value of y from the first equation in the second equation:

0.065x + 0.045 (x - 500) = 582.50

0.065x + 0.045x - 22.50 = 582.50 (simplifying and adding 22.5 on each side)...

0.11x = 605

x = 5,500

The cost of the first hotel was $5,500

Thus, the cost of the second hotel was $5,000 (x - 500)

6 0

3 years ago

How much cardboard is needed to make the tissue box above? Square inches 8 3 3

Katen [24]

The amount of cardboard needed to make a cuboid box of dimensions 8 inch, 3 inches and 3 inches is 114 sq. inches.

<h3>What is the surface area of cuboid?</h3>

Let the three dimensions(height, length, width) be x, y,z units respectively.

The surface area of the cuboid is given by

$S = 2(a\times b + b\times c + c\times a)$

For this case, tissue box is almost cuboid shaped.

Also, its dimensions are given being 8 inches, 3 inches and 3 inches.

Suppose we measure the amount of cardboard needed in terms of area, then, the amount of cardboard needed to make that box(without any whole, full cuboid) is equal to the area of its surface(either outer or inner if we assume 0 inches thickness of cardboard),

Thus, we get:

Amount of cardboard needed = surface area of cuboid box with dimensions 8 by 3 by 3 (in inches)

= $2(8 \times 3 + 3 \times 3 + 3 \times 8) = 114 \: \rm in^2$

Thus, the amount of cardboard needed to make a cuboid box of dimensions 8 inch, 3 inches and 3 inches is 114 sq. inches.

Learn more about surface area of cuboid here:

brainly.com/question/13522634

#SPJ1

5 0

2 years ago