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zvonat [6]
3 years ago
14

Solve the compound inequality: 3x ≤ 18 AND x + 4 > 2

Mathematics
2 answers:
ehidna [41]3 years ago
5 0
3x ≤ 18

x ≤ 18/3

x≤ 6

x + 4 > 2

x > 2 -4

x > - 2

Then - 2 < x ≤ 6

Answer: <=6
dedylja [7]3 years ago
4 0
There must be a mistake in your question:
If 3 x ≤ 9, then : x ≤ 3  and : 
x + 4 > 2
x > 2 - 4
x > - 2
Answer: D) 
Solution set :  - 2 < x ≤ 3  
You might be interested in
What is 402,388 rounded to the nearest thousand
Annette [7]
The answer is 402,000
5 0
3 years ago
Naitik exercised for
kati45 [8]
<h3>Answer:  Aryan spent more time exercising.</h3>

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

Explanation:

Use your calculator to convert each fraction into decimal form

2/3 = 0.67 approximately

3/4 = 0.75 exact

The decimal 0.75 is larger than 0.67, in which we can think of it like saying "75 is larger than 67".

So 0.67 < 0.75 which leads to 2/3 < 3/4.

Aryan spent more time exercising.

--------------

We could stop there, but if you wanted to know how much longer he spent exercising, then we subtract the two fractions to get

3/4 - 2/3

9/12 - 8/12

(9-8)/12

1/12

Aryan spent 1/12 of an hour longer exercising compared to Naitik

1/12 hour = (1/12)*60 = 60/12 = 5 minutes

He spent 5 extra minutes exercising.

----------------

Notes:

  • 2/3 hours = (2/3)*60 = 40 minutes
  • 3/4 hours = (3/4)*60 = 45 minutes
  • 45-40 = 5 extra minutes of exercise
5 0
3 years ago
Solve for y. 3y – 12 = –6                                           A. –54          B. 2          C. 18          D. –6
erastova [34]
3y - 12 = -6
3y = 6                 | Add 12 to both sides
 y = 2                  | Divide by 3 on both sides


Answer: y = 2 (Answer B)
8 0
3 years ago
Read 2 more answers
Metal A has a density of 12.7 g/cm3.
stira [4]

Using the given information, the density of metal B is 8.58 g/cm³

<h3>Calculating density </h3>

From the question, we are to determine the density of metal B

From the given information,

55 g of metal A is combined with metal B to create an alloy with mass 90 g

∴ Mass of metal B in the alloy = 90 g - 55 g = 35 g

Now, we will determine the volume of metal A in the alloy

Using the formula,

Density = Mass / Volume

∴ Volume = Mass / Density

Volume of metal A in the alloy = 55/12.7

Volume of metal A in the alloy = 4.33 cm³

Then, we will determine the volume of the alloy

Volume of the alloy = 90/10.7

Volume of the alloy = 8.41 cm³

∴ Volume of metal B in the alloy = 8.41 cm³- 4.33 cm³

Volume of metal B in the alloy = 4.08 cm³

Now, for the density of metal B

Density = mass / volume

Density of metal B = 35 / 4.08

Density of metal B = 8.58 g/cm³

Hence, the density of metal B is 8.58 g/cm³.

Learn more on Calculating density here: brainly.com/question/13986137

#SPJ1

5 0
2 years ago
Find the measure of angle y, 38,41,19
astra-53 [7]
If this is DMS then the answer is 38.68861111 degrees
8 0
2 years ago
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