Introduction to online solve mathematics:
Mathematics is the study of the dimension, properties, and interaction of quantities and sets, using symbols and numbers. Mathematics is used in our daily life. Mathematics includes algebra, geometry, calculus, etc. Step by step explanation is very useful to understand the concepts of math. Through the online, student can gain more knowledge even by staying in their home itself. Now, we are going to see some of the problems to solve mathematics online.
Looking out for more help on How do you Simplify Expressions in algebra by visiting listed websites.
Problems to solve mathematics online:
Example problem 1:
Simplify the expression: 15x + 8y - 2 + 7x + 12y + 17
Solution:
This expression can be simplified by combining like terms
+15 x and +7x are like terms, and can be combined to give +22x,
+8y and +12y combine to give +20y, and
-2 and +17 combine to give +15.
So after simplifying, this expression becomes: 22x + 20y + 15.
Example problem 2:
Subtracting fractions: `3/4 - 1/5`
Solution:
The common denominator of 4 and 5 is 20.
In this example, we need to multiply the fraction `3 / 4` by 5 and multiply `1 / 5` by 4. So, Equivalent fraction of `3 / 4` is `15 / 20` and the equivalent fraction of `1 / 5` is` 4 / 20` .
`3 / 4 - 1 / 5 = 15 / 20 - 4 / 20`
Now, the denominators are same, so we have to subtract the numerators.
`3 / 4 - 1 / 5 = (15 - 4) / 20`
=`11 / 20`
So, the answer is `11 / 20.`
Few more problems to solve mathematics online:
Example problem 3:
Solve the inequality s: 17.5s – 33 < 37
Solution:
17.5s – 33 < 37
Add 33 on both side of the inequality
17.5s – 33 + 33 < 37 + 33
17.5s < 70
Divide by 17.5 on both side of the inequality
`(17.5s) / 17.5 < 70 / 17.5`
s < 4
So, the solution is (-infinity, 4).
Example problem 4:
The base of a cylinder has the radius of 4.5 cm and the height is 8 cm. Determine the lateral surface area of the solid cylinder.
Solution:
Radius = 4.5cm
Height = 8cm
Formula for lateral surface area = 2* `pi` * r * h.
Here given that, r = 4.5cm and h = 8cm.
Lateral surface area of the cylinder = 2 * 3.14 * 4.5 * 8
= 226.29 cm^2.
So, the lateral surface area of cylinder is 226.29 cm^2.
Practice problems to solve mathematics online:
1) Subtracting fractions: `3 / 5 - 1 / 4` . (Answer: `7 / 20` ).
2) Solve the inequality: 13.4s – 2.6 > 51. (Answer: s > 4).
3) The base of a cylinder has the radius of 3.8 cm and the height is 7 cm. Determine the lateral surface area of the solid cylinder. (Answer: 167.05 cm^2).
Mathematics is the study of the dimension, properties, and interaction of quantities and sets, using symbols and numbers. Mathematics is used in our daily life. Mathematics includes algebra, geometry, calculus, etc. Step by step explanation is very useful to understand the concepts of math. Through the online, student can gain more knowledge even by staying in their home itself. Now, we are going to see some of the problems to solve mathematics online.
Looking out for more help on How do you Simplify Expressions in algebra by visiting listed websites.
Problems to solve mathematics online:
Example problem 1:
Simplify the expression: 15x + 8y - 2 + 7x + 12y + 17
Solution:
This expression can be simplified by combining like terms
+15 x and +7x are like terms, and can be combined to give +22x,
+8y and +12y combine to give +20y, and
-2 and +17 combine to give +15.
So after simplifying, this expression becomes: 22x + 20y + 15.
Example problem 2:
Subtracting fractions: `3/4 - 1/5`
Solution:
The common denominator of 4 and 5 is 20.
In this example, we need to multiply the fraction `3 / 4` by 5 and multiply `1 / 5` by 4. So, Equivalent fraction of `3 / 4` is `15 / 20` and the equivalent fraction of `1 / 5` is` 4 / 20` .
`3 / 4 - 1 / 5 = 15 / 20 - 4 / 20`
Now, the denominators are same, so we have to subtract the numerators.
`3 / 4 - 1 / 5 = (15 - 4) / 20`
=`11 / 20`
So, the answer is `11 / 20.`
Few more problems to solve mathematics online:
Example problem 3:
Solve the inequality s: 17.5s – 33 < 37
Solution:
17.5s – 33 < 37
Add 33 on both side of the inequality
17.5s – 33 + 33 < 37 + 33
17.5s < 70
Divide by 17.5 on both side of the inequality
`(17.5s) / 17.5 < 70 / 17.5`
s < 4
So, the solution is (-infinity, 4).
Example problem 4:
The base of a cylinder has the radius of 4.5 cm and the height is 8 cm. Determine the lateral surface area of the solid cylinder.
Solution:
Radius = 4.5cm
Height = 8cm
Formula for lateral surface area = 2* `pi` * r * h.
Here given that, r = 4.5cm and h = 8cm.
Lateral surface area of the cylinder = 2 * 3.14 * 4.5 * 8
= 226.29 cm^2.
So, the lateral surface area of cylinder is 226.29 cm^2.
Practice problems to solve mathematics online:
1) Subtracting fractions: `3 / 5 - 1 / 4` . (Answer: `7 / 20` ).
2) Solve the inequality: 13.4s – 2.6 > 51. (Answer: s > 4).
3) The base of a cylinder has the radius of 3.8 cm and the height is 7 cm. Determine the lateral surface area of the solid cylinder. (Answer: 167.05 cm^2).
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