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weqwewe [10]
3 years ago
12

3 ≤ 4 + 3 x / 2 ≤ 2 Solve the inequality. Give the result in set notation and graph it

Mathematics
1 answer:
kati45 [8]3 years ago
8 0
I have to make certain assumptions about what you mean here by your 

3 ≤ 4 + 3 x / 2 ≤ 2:      <span>3 ≤ 4 + 3x/2 ≤ 2.  Is that correct or not?

If correct, let's elim. the fractions by mult. all 3 terms of this inequality by 2:

2(</span> 3 ≤ 4 + 3x/2 ≤ 2)  =>  6 ≤ 8 + 3x ≤ 4

Now subtract 8 from all three terms:

6-8  ≤ 8-8 + 3x/2 ≤ 2-8, or    -2 ≤ 3x ≤ 4-8, or  -2 ≤ 3x ≤ -4

Isolating x:  -2/3 ≤ x ≤ -4/3

There's a basic problem here:  -2/3 is not ≤ -4/3.

Please double check to ensure that you have copied down the original problem exactly as it was given.
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A swimming pool is 12.4 feet long and 6.20 feet wide what area does the pool occupy? plz help me
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76.88   I just typed it in on a calculator.
5 0
4 years ago
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3^-3 x 10^-3 what is the value?
Semenov [28]

Answer:

\frac{1}{27000} or 3.703 × 10^{-5} \\

Step-by-step explanation:

3^{-3} \\ is the same as \frac{1}{3}^{3} or \frac{1}{27}.

10^{-3} is the same as \frac{1}{10}^3 or \frac{1}{1000}.

So, 3^{-3} × 10^{-3} is basically \frac{1}{3}^{3}× \frac{1}{10}^3 or \frac{1}{27} × \frac{1}{1000}, which both are simplified to \frac{1}{27000} .

\frac{1}{27000} can also be written as 3.703 × 10^{-5} \\ in scientific notation in decimal form.

7 0
2 years ago
A jeweler makes an
nadezda [96]

The number of snail shells used is 45 and the number of shark teeth used is 36 if the ratio of snail shells to shark teeth is 5:4.

According to the question,

We have the following information:

A jeweler makes an ocean-inspired necklace using a total of 72 snail shells and shark teeth. The ratio of snail shells to shark teeth is 5: 4.

Let's take the number of snail shells to be 5x and the number of shark teeth to be 4x.

So, we have the following expression:

5x+4x = 72

9x = 72

x = 72/9

x = 8

Number of snail shells = 5*9 = 45

Number of shark teeth = 4*9 = 36

Hence, the number of snail shells used is 45 and the number of shark teeth used is 36 if the ratio of snail shells to shark teeth is 5:4.

To know more about ratio here

brainly.com/question/20013093

#SPJ1

6 0
1 year ago
Help Please !!!(-.-;)y-~~~
densk [106]

Answer:

For employee 1 = 2.5

For employee 2 = 8.6

For employee 3 = 4.4

For employee 4 = 10

For employee 5 = 24

Step-by-step explanation:

number of hour worked= H

total money earned =T

earning per hour =M

we have the following relations:

H =T/M

M =T/H

For employee 1 we have:

T=23.75$

M =9.50$

We calculate H by using the above equations, so we have:

H =23.75/9.50= 2.5

For employee 2 we have:

T=28.38 $

H =3.3

We calculate M by using the above equations, so we have:

M =28.38/3.3 =8.6

For employee 3 we have:

T=38.50$

M =8.75$

We calculate H by using the above equations, so we have:

H =38.50/8.75= 4.4

For employee 4 we have:

T=55 $

H =5.5

We calculate M by using the above equations, so we have:

M =55/5.5=10

For employee 5 we have:

T =60 $

H =2.5

We calculate M by using the above equations, so we have:

M =60/2.5 = 24

4 0
4 years ago
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