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2 years ago

What is made up of quantities and the operations performed on them

1 answer:

7 0

Algebra is made up of quantities and the operations performed on them are addition, subtraction, multiplication and division.
Algebra is a branch of mathematics. It concerns itself with operations on sets of numbers or other elements. The sets of numbers and elements are represented by symbols. Algebra can be seen as a generalisation of arithmetic. Letters are substituted for numbers in Algebra. For example, x + 2x will always equal 3x no matter what values the symbol x represents. The algebraic can also include polynomial functions of one or more of the variables.

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Simplify 2p × 3p2 ×4p3

stepladder [879]

Answer: 24p^6

How to: Simplify the expression.

Have a great day ! Sorry if it's wrong :)

6 0

1 year ago

The perimeter of the base of a regular quadrilateral prism is 60 cm, the area of one of the lateral faces is 105 cm2.

yawa3891 [41]

For a better understanding of the solution, please follow the diagram in the attached file.

A regular quadrilateral is basically a square.

So, if the base of the prism has a perimeter of 60 cm, then the length of the side of the square will be $\frac{60}{4}=15 cm$ . It is shown of the diagram.

Now, from the diagram, it is clear that the lateral face area, which is given as 105 cm^2, is the product of the side of the square, which is known, and the unknown height, let us call it h. Thus, we will get the following equation:

$15\times h=105$

$\therefore h=\frac{105}{15}=7 cm$

This is depicted on the diagram.

Now, all our required parameters are in place. Thus, let us find what has been asked.

SURFACE AREA

Surface Area (SA) will be the sum of the areas of the two bases (squares) and the areas of the four lateral faces.

Since the side of one square base is 15 cm, therefore, the area of one square base will be $15^2$ .

Likewise, the area of one lateral surface is actually the area of a rectangle with length 15 cm and height 7 cm. Thus, it's area will be given as: $15\times 7$ .

Thus, our equation will be:

$SA=2\times 15^2+4\times 15\times 7=870 cm^2$

Therefore, Surface Area=870 cm^2

VOLUME OF THE PRISM

The volume of the prism will simply be the area of the base times the height of the prism.

Thus, the volume is:

$Volume=15^2\times 7=1575 cm^3$

5 0

2 years ago

A Gardener has 2 tulip bulb, 45 tomato plants, 108 rose bushes, and 126 herd seedling to plant in the city garden. He want each

NNADVOKAT [17]

Answer: $9\ rows$

Step-by-step explanation:

<h3> The complete exercise is:"A gardener has 27 tulip bulbs, 45 tomato plants, 108 rose bushes, and 126 herb seedlings to plant in the city garden. He wants each row of the garden to have the same number of each kind of plant. What is the greatest number of rows that the gardener can make if he uses all the plants?"</h3><h3 />

The first step to solve the exercise is to find the Greatest Common Factor (GCF) between 27, 45, 108 and 126.

You can follow these steps in order to find the GCF:

1. You must decompose 27, 45, 108 and 126into their prime factors:

$27=3*3*3=3^3\\\\45=3*3*5=3^2*5\\\\108=2*2*3*3*3=2^2*3^3\\\\126=2*3*3*7=2*3^2*7$

2. You must multiply the commons with the lowest exponents. Then:

$GCF=3^2\\\\GCF=9$

Therefore, the greatest number of rows that the gardener can make if he uses all the plants is:

$9\ rows$

3 0

1 year ago

Round 2.1349 to the nearest hundredth. Explain in your own words why you round the number the way you do. Use a number line to s

zhenek [66]

Answer:

2.13

Step-by-step explanation:

because 2.1349 is closer to 2.13 than 2.14 because the number 4 is less than 5 so it's closer to 0

3 0

1 year ago

Read 2 more answers

Solve the following by factoring 4x² + 12 =7x

LiRa [457]

Answer:

4x² + 12 = 7x

4x² + 12 - 7x = 0

use the quadratic formula and get your answer!

Step-by-step explanation:

3 0

2 years ago