MATHEMATICS HIGH SCHOOL

Translating word problems to algebraic expressions:

One number exceeds another by 24. The sum of the numbers is 58. What are the numbers?

Answers

Answer 1
Answer: The equation is x+24+x=58, so you subtract 24 from 58 and get 34 then add the x's and get 2x=34 or x=17

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One third of a number is 12 less than the number itself

Answers

Answer:

18

Step-by-step explanation:

1/3 n = n - 12  Cross multiply

n = 3(n - 12)

n = 3n -36

2n = 36

n = 36/2

n = 18
let the number = n
(1/3)n=n-12
(3)(1/3)n=(3)n-12
n=3n-36
-2n=-36
n=18

What is the multiplicative inverse of 6 + 2i?

Answers

The product of a number and it multiplicative inverse is 1. Let the multiplicative inverse of 6 + 2i be x. Then
x(6 + 2i) = 1
x = 1/(6 + 2i) = (6 - 2i)/(6 + 2i)(6 - 2i) = (6 - 2i)/(36 - 12i + 12i + 4) = (6 - 2i)/40
We have to multiply (6 + 2i) with its conjugate:
(6 + 2i) (6 - 2i) = 36-12i+12i-4i^2
As i^2= -1 . So , 
                        = 36+4
                        = 40
So 40 +is the correct answer.

i have a field 60m long and 110 wide going to be paved i ordered 660000000cm cubed of cement  how thick must the cement be to cover field

Answers

First find the area of the field
A=WL
A=(110m)(60m)
A=6,600m^2
Now turn the cm into m
becouse 100cm^3=1m^3
660,000,000cm^3=6,600,000m^3
Now find out how many times you can cover the filled
6,600,000m^3/6,600m^2=100m
So it will be 100m thick.
P.S. I'm assuming you meant you jest forgot the m for 110m.

Why is it necessary to apply inverse operations on both sides of the equals l sign when solving an equations

Answers

Take this example (cause it's easy to explain)

10+5x=15x

To solve it we have to minus five on both side. We have to do this because we need to isolate the variable (in this case x) on the one side so we can divide and solve.

You would -5x (inverse from positive 5) from both sides on this because whatever you do to one side you have to do to the others to make it equal. In this case the answer would be x=1 (again cause it's easy lol.)

I hope this helps you!

A baseball team has a record of 47 wins and 39 losses. How many games must the team win, in a row, so that the winning percentage will be above 70%?A: 23 wins
B: 13 wins
C: 14 wins
D: 32 wins
E: 44 wins

Answers

A baseball team has a record of 47 wins and 39 losses, then they have to win 44 games in a row so that their winning percentage will be above 70%. Hence, option E is correct.

What is the percentage?

The Latin term "per centum," which signifies "by the hundred," is where the word "percentage" originally came from. With 100 as the denominator, percentage are fractions. To put it another way, it's the relationship here between component and a whole, in which the value of the whole is always assumed to be 100. A specific portion or amount in each hundred is referred to as the percentage. The fraction is denoted by the sign "%," and its denominator is 100.

Finding the proportion of a whole in units of 100 is the goal of percentage calculations. There are two methods to calculate a percentage:

  • Through the unitary approach.
  • By making 100 the new denominator of the proportion.

To know more about Percentage:

brainly.com/question/29306119

#SPJ2

Answer:

44 wins

Step-by-step explanation:

47+39+x/100*70

Given g ( x ) = 3 x − 4 g(x)=3x−4, solve for x x when g ( x ) = 5 g(x)=5.

Answers

Answer:

g(5) = -19

Step-by-step explanation:

Substitute 5 for x in the equation

Plug in 5 for the x's and get g(x)=-3(5)-4 and then -15-4 which is -19 so g(x)=-19
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