A co-worker notices that the original box costs $0.22 per square foot of cardboard, and the new box costs $0.15 per square foot of cardboard. She claims that the new box must cost less than the original box. Explain why your co-worker's claim is incorrect. Include all necessary work to support your answer.
pls help

The property of the given expression [tex]2(x +3) = 2x + 6[/tex] is an example of Distributive property.

You distribute the 2 to the x and get 2x, then distribute the 2 and the 3. [tex]2\times3=6[/tex]. This gets you [tex]2x+6[/tex].

Answer: Distributive property over addition

Step-by-step explanation: You are distributing 2 to in terms inside the parentheses, x and 3.

Answer:

1.5

Step-by-step explanation:

[tex]30\div20[/tex]

The solution is, the scale factor is 1.5.

A scale factor is when you enlarge a shape and each side is multiplied by the same number. This number is called the scale factor. Maps use scale factors to represent the distance between two places accurately.

here, we have,

given that,

from the given diagram, we get,

there are two squares with side 20 and, 30

one square is scaled copy of the other,

so, the scale factor is :

length of scaled square/ length of normal square

= 30/ 20

=3/2

=1.5

Hence, The solution is, the scale factor is 1.5.

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Answer:Statistical,Both

Step-by-step explanation:

Its right trust !

Answer:

1250

Step-by-step explanation:

To calculate the area of the playground, we need to divide it into two smaller polygons: a rectangle and a right triangle.

The rectangle has a width of 50 yards and a height of 18 yards, so its area is:

50 yards x 18 yards = 900 square yards

The right triangle has a base of 20 yards and a height of 35 yards, so its area is:

(20 yards x 35 yards) / 2 = 350 square yards

The total area of the playground is the sum of the areas of the rectangle and the triangle:

900 square yards + 350 square yards = 1250 square yards

Therefore, the answer is not listed among the options provided. Perhaps there was an error in the given dimensions, or the correct answer was not included.

Answer: Angle AGB

Step-by-step explanation: Complementary angles are two angles that in total their measures add up to 90 degrees.

We can see the opposite angle across FGB, CGB is a right angle so therefore it means FGB is a right angle.

Since we know FGB is a right angle, FGB + AGB = 90 degrees

Answer: 2n + 8

Step-by-step explanation:

1st part:
n + 4

2nd part:
Multiplies the 1st part by 2

2(n + 4)

2n + 8

Answer:

y = 6

z = 3.25

x = 3.5

Step-by-step explanation:

12 * 0.5 = 6

6.5 * 0.5 = 3.25

7 * 0.5 = 3.5

X = 3.5 inches

Y = 6 inches

Z = 3.25 inches

Length of the larger tissue box = 12 inches

Breadth of the larger tissue box = 6.5 inches

Height of the larger tissue box = 7 inches

The small tissue box is dilated by - 0.5

So, the measures of the smaller tissue box is 0.5 times the larger tissue box.

Measures of the smaller box will be -

Length of the smaller tissue box = 12 * 0.5

                                                        = 6 inches

Breadth of the smaller tissue box = 6.5 * 0.5

                                                          = 3.25 inches

Height of the smaller tissue box = 7 * 0.5

                                                        = 3.5 inches

According to the variables,

X = Height

Y = Length

Z = Breadth

Height = 3.5 inches

Length = 6 inches

Breadth = 3.25 inches

X = 3.5 inches

Y = 6 inches

Z = 3.25 inches

Hope my answer helps you.

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Answer:

50x5

Step-by-step explanation:

Answer:

The longer car will travel the fastest down the ramp

The car with the least mass will travel the fastest down the ramp

Changing the ramp height will cause the car to travel faster

Step-by-step explanation:

The longer car will travel the fastest down the ramp

On the table, we are not told what effect a longer car would have on the time taken. We are only told about the mass of car, this means that this would be one of the conclusions you could not draw.

The car with the least mass will travel the fastest down the ramp

We can see on the table that the higher than mass of a car, the quicker the car takes to go down the ramp. This is as the time taken is shorter so it had taken less time. This opposes the statement we are given therefore it should be incorrect.

Changing the ramp height will cause the car to travel faster

On the table, there is not information regarding ramp height meaning that this statement would automatically be incorrect

Hope this helps, have a lovely day! :)

Answer:

c = 40h + 50

Step-by-step explanation:

c = the amount charged for the wedding pictures.

h = the number of hours

Helping in the name of Jesus.

Step-by-step explanation:

c = 40h + 50

Step-by-step explanation:

c = the amount charged for the wedding pictures.

h = the number of hours

Answer: It would take her 45 minutes to jog 5 miles because first you have to divide 27 by 3 and you get 9 and then you multiply 9 by 5 and you get 45

Answer:no

Step-by-step explanation:

it does not have 4 sides.

The distance between -4 and its opposite on the number line is 8 units

We know that opposite of 4 is −4.

So, we need to find the distance between 4 and −4 on number line.

We know that absolute value of −4 and 4 is 4

So, the distance between −4 and 4 is 8 units.

Answer:

$4,200 + $4,200(.05)(3) = $4,830

Step-by-step explanation:

Principal = $4,200

Interest = $4,200(.05)(3) = $630

Total = $4,200 + $630 = $4,830

Answer:

Step-by-step explanation:

6.25 inches

Fraction of an inch that is used to represent 3 miles = 3/4 inch (0.75 inch)

Number of miles that is used to represent 3/4 inch = 3 miles

Fraction of an inch that is used to represent 1 mile = 3/4/3 inch

                                                                                        = 0.75/3

                                                                                        = 0.25 inch

Number of inches that are used to represent 25 miles = 3/4/3 * 25

                                                                                              = 0.75/3 * 25

                                                                                              = 0.25 * 25

                                                                                              = 6.25 inches

So the length of the map = 6.25 inches

Hope my answer helps you.

:)

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Answer:

y = 3/4 + 4

Step-by-step explanation:

Y Intercept = The number on the Y-Axis that the line crosses (Which is 4 on this question)

Slope = Rise/Run (Starting from the top of the line, count 3 down & 4 right to reach a whole number coordinate)

Step-by-step explanation:

5x=0.4
5x=2/5
Multiply with 5 to remove the fraction

Answer:

D. Angles 2,4

Step-by-step explanation:

They are both adjacent, which makes the answer D. the correct answer.

Answer:

B

Step-by-step explanation:

Both have a common vertex and side (next to each other).

Answer:

[tex]3 {x}^{2} + 2x[/tex]

Step-by-step explanation:

Expanding brackets means multiplying every term inside the bracket by the term on the outside and then collecting like terms with the aim of removing the set of brackets

[tex]x(3x + 2) = 3 {x}^{2} + 2x[/tex]

3x² + 2x

Given equation, x(3x + 2)

                            = x(3x + 2)

                       Distributive property

                            = {(x * 3x) + (x * 2)}

                            = {(1 * x * 3 * x) + (1 * x * 1 * 2)}

                                  Rearranging like terms

                            = {(1 * 3 * x * x) + (1 * 1 * 2 * x)

                            = [{(1 * 3) * (x * x)} + {(1 * 1 * 2) * x)}]

                            = {(3 * x²) + (2 * x)}

                            = (3x²) + (2x)

                            = 3x² + 2x

Answer: 4,763cm

Step-by-step explanation:

figure out the first rectangle, 70 x 48=  3360

Then find the bottom number with the inner height 38 x 23 = 874

Next, you would move the triangle that is dotted over to the undotted on on the right to get a square giving you 23 x 23 = 529

In the end you add it all 3,360 + 874 + 529 = 4,763

Answer: DFE

Step-by-step explanation:

complementay=90 degrees

Question:

whats the surface area of this rectangle?

1cm 8cm 4cm

Answer:

13 cm

Answer:

A3

B1

C2

D4

Step-by-step explanation:

Answer:7100

Step-by-step explanation:

Answer: the answer is 7100 your welcome!!!!!

The scale is 1cm = 50m

So height in model = 381/50

                                = 7.62cm

Answer: 7 31/50 cm

Step-by-step explanation:

The scale is 50 m = 1 cm

381 divided by 50 is 7 r31

This means that the height of his model in centimeters is 7 31/50 cm.

Hope this helps!