The order of operations is used to blank numerical expressions

7 × 43 is it a reasonable estimate of the product 280 using true and false

White raven [17]

False the answer is 301

7 0

2 years ago

A student designed this sculpture. Using the dimensions on the sculpture, find the dimensions of each rectangular prism. Then ca

jolli1 [7]

Answer:

Prism Y

$Height = 12in$

$Length = 6in$

$Width = 4in$

$Volume = 288in^3$

Prism Z

$Height = 18in$

$Length =10in$

$Width = 10in$

$Volume = 1800in^3$

$Total = 2088in^3$

Step-by-step explanation:

Given

See attachment for sculpture

Solving (a) The dimension and volume of Y

From the attachment

$Height = 18 - 6$

18 in is the height of Z and 6in represents the length (height) of the unoccupied space by Y

So:

$Height = 12in$

$Length = 16 - 10$

16 in is the total length of the sculpture and 10 in represents the length of Z

So:

$Length = 6in$

$Width = 10 - 6$

10 in is the width of Z and 6in represents the length (width) of the unoccupied space by Y

So:

$Width = 4in$

Hence, the dimension of Y is:

$Height = 12in$

$Length = 6in$

$Width = 4in$

Volume is then calculated as:

$Volume = Length * Width * Height$

$Volume = 12in * 6in * 4in$

$Volume = 288in^3$

Solving (b) The dimension and volume of Z

As identified in (a), the dimensions of Z are:

$Height = 18in$

$Length =10in$

$Width = 10in$

Volume is then calculated as:

$Volume = Length * Width * Height$

$Volume = 18in * 10in * 10in$

$Volume = 1800in^3$

Solving (c): Total volume of the sculpture.

To do this, we simply add up the volumes of Y and Z.

So, we have:

$Total = 288in^3 + 1800in^3$

$Total = 2088in^3$

6 0

3 years ago

In Ryan Corporation, the first shift produced 5 1/2 times as many light bulbs as the second shift. If the total light bulbs prod

tekilochka [14]

Answer:

Step-by-step explanation:

It appears that the number of bulbs produced on the first shift is quite a bit more than the second shift. 5.5 times more, actually. That means that the first shift's output is based on the second shift's output. Second shift produced an unknown number of bulbs, so we will call that number x. First shift produced 5.5 times more, so first shift produced 5.5x. The total number of bulbs produced between the 2 shifts is given as 16,250, so

x + 5.5x = 16,250 so

6.5x = 16,250 and

x = 2500

The second shift produced 2500 bulbs, and the first shift produced 5.5(2500) = 13,750 bulbs.

7 0

3 years ago

The coordinate grid shows points a through k. Which points are solutions to the system of inequalities 2x+y 8 please help this i

andre [41]

Answer:

The points that verify the system of inequalities are:

point E, pointF, and point G.

Step-by-step explanation:

Please see the attached image that illustrates the boundary lines in your system of inequalities.

The boundary line for the inequality $2x+y$ is depicted in green, while the boundary line for the inequality $2x-4y>8$ is depicted in red.

By solving for y in each inequality, we understand which half-plane should be considered for the inequality:

First inequality (green boundary line) :

$2x+y$

This means that we are to consider the points below the green boundary line.

Second inequality (red boundary line) :

$2x-4y >8\\2x-8>4y\\y$

This means we have to consider the points below the red boundary line.

Recall as well that both conditions we arrived at have to be satisfied by the points that are solutions of both inequalities.

From the image, we can see that there are only three points that reside at the same time below the green and the red boundary lines. These points are: point E, pointF, and point G.

On the other hand, we have two points that lie on a boundary line (point J and H), but they should be ignored, since the system of inequalities contain just inequality symbols < or >, and not the "equal" sign.