MATHEMATICS HIGH SCHOOL

What is the value of x in the equation 3x – 1/9 = 18, when y = 27?

Answers

Answer 1
Answer:

Answer:

x = 7

Step-by-step explanation:

3x - 1/9y = 18

Put y as 27 and evaluate.

3x - 27/9 = 18

3x - 3 = 18

Add 3 on both sides.

3x = 21

Divide 3 on both sides.

x = 7
Answer 2
Answer:

Answer:

Here you go mate!

Step-by-step explanation:

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What is the volume of this rectangular prism?

Help me with question 3 for brainliest

Answers

Answer:

1. y>2x+1

2. The dots and the marked zone over the line indicates that it is a ">"

What is the surface area of the prism? A. 138 yd2 B. 192 yd2 C. 264 yd2 D. 272 yd2

Answers

In order to find the area of the triangular prism, we need to find the area of each of the figures that make it up. It might help if you draw the triangles and rectangles that make up the prism individually.

Let's start with the two triangles at either end of the prism.

A = 1/2bh   Area of a triangle
A = 1/2(6)(8)   Substitute
A = 24   Multiply / Divide

We now know that the area of the triangle at the end of the prism is 24 yd². However, since there are two of these triangles, we'll need to multiply that by 2. So, in total, the area of the two triangles is 48 yd².

There are three more rectangles that we need to find the area for: the base of the prism, the vertical edge of the prism, and the slanted edge of the prism. 

A = lw   Area of a rectangle
A = (9)(10)   Area of the slanted edge
A = 90 yd²   Multiply

A = (9)(6)   Area of the base
A = 54 yd²   Multiply

A = (8)(9)   Area of the vertical edge
A = 72 yd²

We now have the area for both triangles and each rectangle. Now, all we have to do is add these together to get the total surface area!

72 + 54 + 90 + 48 = 264 yd²
Surface Area = 264 yd²

The answer is 264 yd², or answer choice C.

Using the laws of indices, simplify the following:-

√h × √h³ =

Answers

\sqrt h\cdot√(h^3)=\nh^{(1)/(2)}\cdot \left(h^3\right)^{(1)/(2)}=\nh^{(1)/(2)}\cdot h^{(3)/(2)}=\nh^{(1)/(2)+(3)/(2)}=\nh^{(4)/(2)}=\nh^2

or other way

\sqrt h\cdot√(h^3)=\n √(h^4)=\n √((h^2)^2)=\n |h^2|=\n h^2

Tina observes the points on the plane of a paper. What is the minimum number of points required to make a plane?Answer
A)0 B) 1 C)2 D) 3

Answers

I believe the correct answer is option D. The minimum number of points required to make a plane are 3 points which will consequently form a triangle. A plane is a two-dimensional surface that extends infinitely far. Hope this answers the question.

Which mathematical sentence most accurately expresses the information in the problem below? Crystal has 121 compact discs that she wants to put into boxes. Each of the boxes that she brought home holds 25 discs. How many of these boxes will she need for all of her discs?

Answers

Crystal has 121 compact discs. The total number of boxes required are 5.

Solution:

Given, Crystal has 121 compact discs that she wants to put into boxes.  

Each of the boxes that she brought home holds 25 discs.  

We have to find how many of these boxes will she need for all of her discs?

Now, we know that, number of boxes required =\frac{\text {total number of discs}}{\text {capacity of one box}}=(121)/(25)=4.84=5

Here we took 5 because 0.84 means that box with discs less than 25 still we require a box.  

Hence, the total number of boxes required are 5.

3,628,800 what is the place value of the 3 in this number?

Answers

That is the millions place.

3,628,800
^Millions

3,628,800
   ^Hundred thousands

3,628,800
     ^Ten thousands

3,628,800
       ^Thousands

3,628,800
         ^Hundreds

3,628,800
           ^Tens
3,628,800
             ^Ones
the 3 in 3,628,800 is three millions because the last zero is ones,the other zero is tens,the eight is hundreds and so on...
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