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taurus [48]
3 years ago
13

Solve for x.

Mathematics
1 answer:
Maksim231197 [3]3 years ago
8 0

Answer:

1. 9x+4<58

x<6

2. 1x-2>3

x>1

Step-by-step explanation:

1. 9x+4<58

First, you need to group all the like terms ( the group of numbers that have the same variable), Also remember that, when a positive number crosses an inequality symbol, it becomes negative.

9x<58-4

Then, subtract the two numbers.

9x<54

Divide x's coefficient by 54 and you have your answer.

x<6

2. 1x-2>3

First, you need to group all the like terms. Remember that, when a negative number crosses an inequality symbol, it becomes positive.

1x>3-2

Then, subtract the two numbers.

1x>1

1 divided by one is one, so

x>1

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Multiply. 1 1/2⋅3 2/3
soldier1979 [14.2K]

Answer:  The mixed number 5 & 1/2

====================================

Work Shown:

1 & 1/2 = 1 + 1/2 = 2/2 + 1/2 = 3/2

3 & 2/3 = 3 + 2/3 = 9/3 + 2/3 = 11/3

------

Multiplying 1&1/2 with 3&2/3 is the same as multiplying 3/2 and 11/3

(3/2)*(11/3) = (3*11)/(2*3) = 11/2

-------

Use long division to find that 11/2 = 5 & 1/2

Or you can break it up like this

11/2 = (10+1)/2 = 10/2 + 1/2 = 5 + 1/2 = 5 & 1/2

4 0
3 years ago
A. Are the expressions and equivalent expressions? B. In two or more complete sentences, justify your answer to A.
pychu [463]

Answer:

What's the expressions?

5 0
4 years ago
If there are x teams in a sports​ league, and all the teams play each other​ twice, a total of​ N(x) games are​ played, where ​N
Elena-2011 [213]

Answer:

It will cost $700 to play the entire​ schedule.

Step-by-step explanation:

Given : N(x)=x^2-x

To Find :  A softball league has 5 ​teams, each of which play the others twice. If the league pays ​$35 per​ game, how much will it cost to play the entire​ schedule?

Solution:

Equation for total no. of games when all the teams play each other​ twice is N(x)=x^2-x

Now we are given that A softball league has 5 ​teams, each of which play the others twice.

So, Substitute x = 5 in the given equation

N(x)=5^2-5

N(x)=20

So, The total no. of games = 20

Cost for 1 game = $35

So, cost for 20 games = 35 \times 20 = 700

Hence  it will cost $700 to play the entire​ schedule.

5 0
3 years ago
Identify if the following lines are parallel, perpendicular, or neither to the line
pantera1 [17]

The first one is neither

No. 2 is perpendicular (  because  slope = -1/ slope of the other)

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No 4 is perpendicular.

5 0
3 years ago
Jenna mixed two shades of purple paint. For Purple People Eater, she used 3 pints of red paint for every 5 pints of blue paint.
emmasim [6.3K]

Answer:

\frac{12}{35}

Step-by-step explanation:

Given :

→ For Purple People Eater, she used 3 pints of red paint for every 5 pints of blue paint.

i.e, The ratio of red paint to blue paint is 3:5

→ For Purple Majesty, she used a blue to red paint ratio of 7 to 4.

i.e, The ratio of red paint to blue paint is 4:7

To find :

1) Compare the ratios of red paint to blue paint.

\frac{3}{5}\times \frac{4}{7}=\frac{12}{35}

2) The ratio for Purple People Eater can be expressed in fraction form as :

=\frac{3}{5}

3) The ratio for Purple Majesty can be expressed in fraction form as :

=\frac{7}{4}

4) To compare these fractions, rewrite them with a common denominator

For common denominator

Multiply numerator and denominator by 4 in \frac{3}{5}

\Rightarrow\frac{3\times 4}{5\times4}=\frac{12}{20}

Multiply numerator and denominator by 5 in \frac{7}{4}

\Rightarrow\frac{7\times 5}{5\times4}=\frac{35}{20}

Common denominator is 20


6 0
3 years ago
Read 2 more answers
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