Which inequality represents that −14 more than twice a number is no less than 18?

What is the surface area of the rectangular prism?

algol [13]

let me lie down this prism.

Check the picture below.

so the prism is really 6 rectangles stacked up to each other at the edges, so we can simply get the area of each rectangle and sum them up.

$\bf \stackrel{rectangles}{\stackrel{\textit{top and bottom}}{2(3.5\cdot 9)}~~~~+~~~~\stackrel{\textit{left and right}}{2(9\cdot 5)}~~~~+~~~~\stackrel{\textit{front and back}}{2(3.5\cdot 5)}} \\\\\\ 63+90+35\implies 188$

8 0

4 years ago

The surface area of a cube is 600 square inches. What is the area of one of its faces?

wel

Answer:

Area of one face of the cube is $100 inches^2$

Step-by-step explanation:

A cube is a three dimensional figure that has all of its sides equal.

A cube has six square faces:

Surface area of the cube = $6a^2$

where 'a' is the side length of the cube:

Area of one face of a cube= $a^2$

For surface area of the whole cube: 500 square inches

$6a^2=600$

Dividing by '6' both sides;

$a^2=600/6\\\\$

$a^2=100inches^2$

Area of one face of the cube is $100 inches^2$

7 0

3 years ago

Please, help thanks! I would like an explanation how to do it too, IF you dont mind.

Aneli [31]

Answer:

Phoebe has £180, Andy has £60, and Polly has £30.

Step-by-step explanation:

Ok, to start of let's establish some variables! We'll give Phoebe the variable "p", Andy the variable "a", and Polly the variable "o". By giving each person a variable we can create an equation and solve for it!

So, what do we know?

Well we know the following information...

p + a + o = 270

(Phoebe + Andy + Polly = £270)

p = 3a

(Phoebe = 3 times more than Andy)

a = 2o

(Andy = 2 times more than Polly)

To be able to solve this equation we have to solve for just one variable first.The only one we can use is "o" for Polly!

3(2o) + 2o + o = 270

6o + 2o + o = 270 (Distribute 3 to get like terms)

9o = 270 (Combine like terms [6+2+1])

o = 30 (Divide by 9 on both sides to get "o" by itself)

Now that we have how much Polly has, we have to solve for Andy and Phoebe. (To do this we will input our value, 30, where our variable is "o")

Andy

a = 2(30) (Input term)

a = 60 (Multiply by 2 to get final answer)

(Since we now know what Andy has we can input 60 into our "a" variable to solve for Phoebe)

Phoebe

p = 3(60) (Input term)

p = 180 (Multiply by 3 to get final answer)

Now! Just to check we are going to input our variables into our original equation to be sure we have the right variables.

p + a + o = 270

180 + 60 + 30 = 270!!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

4 0

3 years ago

When is hurricane season in the United States?

Marysya12 [62]

The answer would definitely be between June-November, because the US is where my aunt lives, and she nearly died! :0

7 0

3 years ago

Equation of line M is Y=5/8x+1 . Line N is perpendicular to M. What is the slope of line N?

masya89 [10]

Step-by-step explanation:

the slope of a line is always the factor of x in the equation. in our case here : 5/8.

the slope is the y/x ratio indicating how many units y changes, when x changes by a certain amount of units (e.g. when going from one point on the line to another).

the perpendicular slope (crosses the original line in a right angle = 90 degrees) turns x and y upside-down and flips the sign.

so, in our case, it is -8/5.

3 0

3 years ago