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3 years ago

Find A ∩ B if A = {3, 6, 9, 12} and B = {2, 4, 6, 8, 10, 12}.

Mathematics

1 answer:

Helga [31]3 years ago

6 0

Find A ∩ B is any numbers that are in both sets

they booth have 6 & 12 so the answer is: {6, 12}

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A salesperson is paid an 8.25% commission on sales when the invoice is

son4ous [18]

Answer:

<em>The salesperson's commission for this month is $3,803</em>

Step-by-step explanation:

<u>Percentages</u>

Let's call x to the sales volume, not including commission.

The salesperson is paid an 8.25% commission on sales, thus the total invoice is x + 8.25%x = x + 0.0825x = 1.0825x

We are given this total invoice, thus:

1.0825x = $49,900

Dividing by 1.0825:

x = $46,097

The salesperson's commission is

0.0825*$46,097=$3,803

The salesperson's commission for this month is $3,803

7 0

2 years ago

A school club raises $506 to spend on a field trip. There are 23 people going on the trip. How much money did the club raise for

saveliy_v [14]

Answer:

$22

Step-by-step explanation:

Money raised = $506.

People on trip = 23

Money per person = $506/23

Money per person = $22

3 0

3 years ago

Read 2 more answers

B: Alex is 12 years older than George.

UkoKoshka [18]

Answer:

The ratio of George age to Carl's age is 1:12.

Step-by-step explanation:

Let the age of George be 'g'.

Let the age of Alex be 'a'.

Also Let the age of Carl be 'c'.

Given:

The sum of their ages is 68.

So equation can be framed as;

$g+a+c=68 \ \ \ \ equation 1$

Also Given:

Alex is 12 years older than George.

So equation can be framed as;

$a =g+12 \ \ \ \ equation \ 2$

Now Given:

Carl is three times older than Alex.

$c=3a$

But $a =g+12$

So we get;

$c = 3(g+12) \\\\c= 3g+36 \ \ \ \ equation \ 3$

Now Substituting equation 2 and equation 3 in equation 1 we get;

$g+a+c=68\\\\g+g+12+3g+36=68\\\\5g+48=68$

Subtracting both side by 48 using subtraction property of equality we get;

$5g+48-48=68-48\\\\5g=20$

Now Dividing both side by 5 using Division property of equality we get;

$\frac{5g}{5}=\frac{20}{5}\\\\g =4$

Hence George age $g = 4 \ years$

Now Alex age $a=g+12 = 4+12 =16\ years$

Also Carl's age $c=3g+36=3\times 4+36 =12+36 =48\ years$

Now we need to find the ratio of George age to Carl's age.

$\frac{g}{c}=\frac{4}{48} = \frac{1}{12}$

Hence the ratio of George age to Carl's age is 1:12.

3 0

3 years ago

Write 80 as a product of prime factors

DedPeter [7]

80=20x4=10x2x2x2=5x2x2x2x2

5x2x2x2x2

6 0

3 years ago

Read 2 more answers

The profits for selling T-shirts at the school store is $40 for every 10 shirts. Write an equation and graph the relationship

Deffense [45]

Answer:

i think this is what your looking for

Step-by-step explanation:

the relationship is that they always go up by 40

4 0

2 years ago