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3 years ago

If A = {1, 2, 3, 4}, what is n(A)?

Mathematics

1 answer:

Elis [28]3 years ago

3 0

Answer:

Step-by-step explanation:

Count the number of elements in A

n(A) = 4

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2. Write the inequality and show all work to solve the

seraphim [82]

Yes you are doing it correctly.
$12.00 + $3.00x <= $24.00
$12.00 + $3.00x - $12.00 <= $24.00 - $12.00
$3.00x <= $12.00
$3.00x/$3.00 <= $12.00/$3.00
x <= 4

The number line representation will be an arrow with a shaded round head pointing to the left from tne number 4.

6 0

3 years ago

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 2 small boxes has a t

nikdorinn [45]

Each large box weighs 15 kilograms and each small box weighs 13.5 kilograms.

Step-by-step explanation:

Let,

Weight of large box = x

Weight of small box = y

According to given statement;

5x+2y=102 Eqn 1

3x+8y=153 Eqn 2

Multiyplying Eqn 1 by 4

$4(5x+2y=102)\\20x+8y=408\ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$(20x+8y)-(3x+8y)=408-153\\20x+8y-3x-8y=255\\17x=255$

Dividing both sides by 17

$\frac{17x}{17}=\frac{255}{17}\\x=15$

Putting x=15 in Eqn 2

$15(3)+8y=153\\45+8y=153\\8y=153-45\\8y=108$

Dividing both sides by 8

$\frac{8y}{8}=\frac{108}{8}\\y=13.5$

Each large box weighs 15 kilograms and each small box weighs 13.5 kilograms.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

4 0

3 years ago

the coordinates of the endpoints of BC are B(3,2) and C(8,17). Point D is on BC and divides it such that BD:CD is 3:2. What are

eduard

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3 0

3 years ago

A factory buys 10% of its components from suppliers B and the rest from supplier C. It is known that 6% of the components it buy

Aleks [24]

Answer:

The percentage of the components bought from supplier C that are faulty = 88%

Complete Question:

A factory buys 10% of its components from supplier A, 30% from supplier B,and the rest from supplier C. it is known that 6% of the components it buys are faulty. of the components bought from supplier A, 9% are faulty and of the components bought from supplier B, 3% are faulty.

find the percentage of the components bought from supplier C that are faulty ?

Step-by-step explanation:

Let x be the total components bought by the factory

Components supplied by A = 10% of x

Components supplied by B = 30% of x

The rest supplied by C:

Percentage supplied by C = 100-(30+10) = 100-40 = 60%

Components supplied by C = 60% of x

% of all faulty components = 6%

Amount of faulty component = 6% of x

faulty components from A= 9%

Amount of faulty component from A= 9% × (6% of x) = 0.0054x

faulty components from B= 3%

Amount of faulty component from A= 3% × (6% of x) = 0.0018x

Amount of faulty component from C = (6% of x) - (0.0054x+0.0018x)

= 0.06x - 0.0072x

= 0.0528x

Let the percentage of the components bought from supplier C that are faulty = y%

y% × 6% of x = 0.0528x

y% × 0.06x = 0.0528x

y% = 0.0528x/0.06x

y% = 0.88 = 88%

The percentage of the components bought from supplier C that are faulty = 88%

3 0

3 years ago

What are the factors of 44

wolverine [178]

There are many possible factors:
$-44, -22, -11, -4, -2, -1, 2, 4, 11, 22, 44$

Hope this helps!!

7 0

3 years ago

Read 2 more answers