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3 years ago

If k, m, and n are all prime numbers, list all factors of k∙m∙n.

Mathematics

1 answer:

kompoz [17]3 years ago

7 0

Answer:

Factors of kmn are 1, k, m, n, km, mn, kn and kmn

Step-by-step explanation:

Given: k, m, and n are prime numbers

To find: factors of k∙m∙n

Solution:

A number is said to be prime if it has exactly two factors: 1 and the number itself

x is said to be a factor of y if x can divide y exactly.

Here,

1 can divide kmn

k can divide kmn

m can divide kmn

n can divide kmn

km can divide kmn

kn can divide kmn

mn can divide kmn

kmn can divide kmn

So, factors of kmn are 1, k, m, n, km, mn, kn and kmn

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A store sells flower arrangements at a cost of $28 each. Which statements are true regarding the price of the arrangements? Chec

Maru [420]

Let's check each case to determine the solution to the problem.

we know that

The cost of each flower arrangements is $\$28$

Statements

case A) If the price is marked down by $10$ percent, the new price will be $\$25.20$

we know that

If the price is marked down by $10$ percent

then

the new price will be

$10\%= \frac{10}{100} =0.10$

$(1-0.10)*\$28=0.90*\$28 \\= \$25.20$

$\$25.20=\$25.20$

therefore

The statement case A) is True

case B) If the price is marked down by $25$ percent, the new price will be $\$21$

we know that

If the price is marked down by $25$ percent

then

the new price will be

$25\%= \frac{25}{100} =0.25$

$(1-0.25)*\$28=0.75*\$28 \\= \$21$

$\$21=\$21$

therefore

The statement case B) is True

case C) If the price is marked down by $50$ percent, the new price will be $\$19$

we know that

If the price is marked down by $50$ percent

then

the new price will be

$50\%= \frac{50}{100} =0.50$

$(1-0.50)*\$28=0.50*\$28 \\= \$14$

$\$14 \neq \$19$

therefore

The statement case C) is False

case D) If the price is marked down by $35$ percent, the new price will be $\$18.20$

we know that

If the price is marked down by $35$ percent

then

the new price will be

$35\%= \frac{35}{100} =0.35$

$(1-0.35)*\$28=0.65*\$28 \\= \$18.20$

$\$18.20=\$18.20$

therefore

The statement case D) is True

case E) If the price is marked down by $40$ percent, the new price will be $\$29.80$

we know that

If the price is marked down by $40$ percent

then

the new price will be

$40\%= \frac{40}{100} =0.40$

$(1-0.40)*\$28=0.60*\$28 \\= \$16.80$

$\$16.80 \neq \$29.80$

therefore

The statement case E) is False

7 0

3 years ago

Read 2 more answers

Find a − b when a = −7 and b = 11.

Mariana [72]

Answer:

-18

Explanation:

a - b

a = -7

b = 11

Insert -7 for 'a' and 11 for 'b'

-7 - 11

= -18

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3 years ago

Workers inc. just bought 14 boxes of pens to put in their storage room for employees to use as needed. each box contains 50 pens

slega [8]

Answer:

568 pens.

Step-by-step explanation:

Total number of pens bought = 14 * 50 = 700.

Total pens taken by the workers = 33 * 4 = 132.

Number left = 700 - 132 = 568.

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3 years ago

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lbvjy [14]

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3 years ago

In fig if x+y=w+z then prove that AOB is a line.

frez [133]

Answer:

As Given, x+y=w+z

To Prove: AOB is a line or x+y=180

∘

(linear pair.)

According to the question,

x+y+w+z=360

∘

∣ Angles around a point.

(x+y)+(w+z)=360

∘

(x+y)+(x+y)=360

∘

∣ Given x+y=w+z

2(x+y)=360

∘

(x+y)=180

∘

Hence, x+y makes a linear pair.

Therefore, AOB is a straight line

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3 years ago