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3 years ago

6x-2<4x+12 solve the inequality

Mathematics

2 answers:

Novosadov [1.4K]3 years ago

8 0

Answer:

6x-2<4x+12

move the variable and change its sign

6x-4x-12<12

move constant to right hand side and change its sign

6x-4x<12+2

Collect like term

2x<12+2

add the number

2x<14

divide both side

2< 14/2 or 14÷2

final answer :-

2<7

HOPE THIS HELPS

mylen [45]3 years ago

4 0

Answer:

x < 7

hope this helps!

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5.33

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2 years ago

Mary knits scarves and sweaters to sell. Scarves take 2 hours to knit and sweaters take 10 hours. Mary would like to spend no mo

sveticcg [70]

Answer:

The system of inequalities is

$2x+10y\leq 40$

$x+y\geq 5$

The solution in the attached figure

Step-by-step explanation:

The question is

Write a system of linear inequalities.

x ---> number of scarves knitted per week

y ---> number of knitted sweaters per week

we know that

Mary would like to spend no more than 40 hours per week knitting

The word "No more" means "less than or equal to"

$2x+10y\leq 40$ ----> inequality A

Mary would like to knit at least 5 items per week

The word "at least" means "greater than or equal to"

$x+y\geq 5$ ----> inequality B

Solve the system by graphing

The solution is the triangular shaded area

see the attached figure

7 0

2 years ago

A national survey showed that 44% of college students drink. A professor provided his own survey by choosing a random sample of

mamaluj [8]

Answer:

It is an unusual result contradicting the national survey.

Step-by-step explanation:

National survey showed 44% of college students who drink.

The professor's survey showed that 96/244 = 39% drink.

The professor's survey deviated from the national survey is 5% (44% - 39%) representing about 0.25% (5% squared) variance.

Standard deviation is the spread of a set of numbers from their mean. In other words, it measures how far an observed value is from the mean. It can be calculated by getting the square root of the variance.

4 0

3 years ago

Answer quickly plz im gonna be in trouble :(

Montano1993 [528]

Answer:

64=16(x)

x=4

Step-by-step explanation:

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2 years ago

Please answer please

Luda [366]

Answer:

46°

Step-by-step explanation:

Since the 3 sides are given we can use any of the 3 trig. ratios to solve.

Using the tangent ratio in the right triangle

tan ? = $\frac{opposie}{adjacent}$ = $\frac{42}{40}$ , thus

? = $tan^{-1}$ ( $\frac{42}{40}$ ) ≈ 46° ( to the nearest degree )

8 0

3 years ago