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dimulka [17.4K]
3 years ago
13

Help with math please asap 1. Solve the inequality 1/5 + 1/3 X > 1/2 X - 1/4

Mathematics
1 answer:
Finger [1]3 years ago
6 0

Answer:

The solution set is x < 2.7

Step-by-step explanation:

To start, get all of the x terms on the right side and all the constant terms on the left.

1/5 + 1/3x > 1/2x - 1/4

1/5 + 1/4 + 1/3x > 1/2x

1/5 + 1/4 > 1/2x - 1/3x

Now give the terms on each side common denominators.

4/20 + 5/20 > 3/6x - 2/6x

9/20 > 1/6x

Now we can multiply both sides by 6.

27/10 > x

2.7 > x

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I am lost can anyone help
Rina8888 [55]

I would recommend taking a picture of the instructions because I am not sure if you need to find the equation of the line that is parallel or perpendicular, so I will do both.

1. (3 , 2); y = 3x - 2

If the line is parallel to the given equation, the slopes have to be the SAME, so the slope(m) is 3

y = mx + b

y = 3x + b

To find b you plug in the point (3, 2) into the equation

2 = 3(3) + b

2 = 9 + b

-7 = b

The equation of the line that is parallel to the given equation is:

y = 3x - 7


To find the equation of the line that is perpendicular to the given equation, the slope has to be the exact opposite of the given slope. (you flip the sign and the number of the given slope to get the perpendicular line's slope)

The given slope is 3, the perpendicular slope is -\frac{1}{3}

y = mx + b

y = -\frac{1}{3} x + b

To find b, you plug in the point (3 , 2) into the equation

2 = -\frac{1}{3} (3) + b

2 = -1 + b

3 = b

The equation of the line perpendicular to the given equation is:

y = -\frac{1}{3} x +3

8 0
3 years ago
david is drinking a sports drink that us 24 ounces. he drinks 3 ounces in 5 minutes what percentage of the sports drink will dav
adoni [48]

Answer:

18 ounces

Step-by-step explanation:

5 x 6= 30

3 x 6= 18

8 0
3 years ago
Round 0.5289 to the nearest thousandth.
Anit [1.1K]

Answer:

0.5289 to the nearest thousandth is 0.529.

Step-by-step explanation: If a number is less than 5, round down, but if a number is 5 or more, round up. The digit after the thousandths place is the digit we should look at to answer the question and it is 9, so we round up from 0.528 or 0.529. So, the answer is 0.529.

7 0
3 years ago
Which order pair lies on the line 2x-y= -5
Lady bird [3.3K]

Answer:

Let's solve for x.

2x−y=−5

Step 1: Add y to both sides.

2x−y+y=−5+y

2x=y−5

Step 2: Divide both sides by 2.

2x/2=y-5/2

Answer:

x=1/2y+-5/2

4 0
3 years ago
A can holds 4 golf balls. The diameter of each golf ball is 5 cm. What is the volume of the empty space inside the can?
forsale [732]

Answer:

Volume of the empty space in the can  is 327.05  cm^3

Step-by-step explanation:

Given:

Number of golf ball the can holds = 4

Diameter of the golf ball = 5 cm

To Find:

Volume of the empty space in the can = ?

Solution:

Step 1:  Finding the volume of one golf ball

Ball is shape of the sphere

So lets use the volume of the sphere formula

Volume of the  golf ball = \frac{4}{3}\pi r^3

Radius =\frac{5}{2} = 2.5 cm

Substituting the values

Volume of the  golf ball  

=\frac{4}{3} \pi \times(2.5)^3

=\frac{4}{3} \pi \times (15.625)

= \frac{4}{3} \times 49.06

= \frac{196.24}{3}

= 65.41

Step 2:  Finding the volume of empty space of the can

volume of empty space of the can =  volume of 5 golf ball

= 5 X 65.41

= 327.05

7 0
3 years ago
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