All categories

3 years ago

Match the two numbers with their least common multiple (LCM).

Mathematics

2 answers:

jarptica [38.1K]3 years ago

8 0

Answer:

Step-by-step explanation:

We have to find the LCM of the given numbers and match then with their options given.

LCM of 10 and 4

factors of 10 = 2 × 5

factors of 4 = 2 × 2

LCM = 2 × 5 × 2 = 20 Matches (C)

LCM of 10 and 6

factors of 10 = 2 × 5

factors of 6 = 2 × 3

LCM = 2 × 3 × 5 = 30 Matches (A)

LCM of 10 and 8

factors of 10 = 2 × 5

factors of 8 = 2 × 2 × 2

LCM = 2 × 5 × 2 × 2 = 40 Matches (B)

eduard3 years ago

7 0

LCM:
10: 0,10,20,30,40,50
4: 0,4,8,12,16,20
ANSWER IS 20

LCM:
10: see above numbers
6: 0,6,12,18,24,30
ANSWER IS 30

So, 10 and 8 would be 40

You might be interested in

HELP WILL MARK RIGHT ANSWER BRAINLIEST

Elden [556K]

Answer:

Step-by-step explanation:

Lack of information

4 0

3 years ago

In triangle ABC, m∠A=(6x+9)∘, m∠B=(x−8)∘, and the exterior angle at C is 141∘.

Sphinxa [80]

Answer:

12°

Step-by-step explanation:

Let's start with the easy first.

We know that m∠C is 39° because together ∠C and the exterior angle equal 180°. And 180 - 141 = 39.

Now, we can use this to find the remaining two angles.

180° - 39° = 141°

So, this means that we can set up m∠A + m∠B = 141°.

6x + 9 + x - 8 = 141

7x + 1 = 141

7x = 140

x = 20

Finally, we can plug in for our x value and find m∠B.

m∠B = x - 8

m∠B = 20 - 8

m∠B = 12°

3 0

3 years ago

What is the estimate of 6/8-1/2?

Rainbow [258]

The estimate of the problem would be 1/4 because 6/8- 1/2 you would get 1/4.
~Good Luck!~

8 0

3 years ago

Read 2 more answers

Of all the soft drink consumers in a particular sales region, 30% prefer Brand A and 70% prefer Brand

victus00 [196]

Answer:

Option D -0.67

Step-by-step explanation:

Given : Preference of Brand A =30% ⇒ $P(A)=\frac{30}{100}=0.3$

Preference of Brand B =70% ⇒ $P(B)=\frac{70}{100}=0.7$

Prefer Brand A and are Female = 20% ⇒ $P(A/F)=\frac{20}{100}=0.2$

Prefer Brand B and are Female = 40% ⇒ $P(B/F)=\frac{40}{100}=0.4$

To find : Selected consumer is female, given that the person prefers Brand A $P(F/A)$

Solution : Using Bayes' theorem, which state that

$P(A/B)=\frac{P(B/A)P(A)}{P(B)}$

where, P(A) and P(B) are probabilities of observing A and B.

P(B/A)= is a conditional probability where event B occur and A is true

P(A/B)= also a conditional probability where event A occur and B is true.

Now, applying Bayes' theorem,

$P(F/A)=\frac{P(A/F)P(A)}{P(B)P(B/F)+P(A)P(A/F)}$

$P(F/A)=\frac{(0.2)(0.3)}{(0.7)(0.4)+(0.3)(0.2)}$

$P(F/A)=\frac{0.6}{0.28+0.6}$

$P(F/A)=\frac{0.6}{0.88}$

$P(F/A)=0.68$

Therefore, Option D is correct probability that a randomly selected consumer is female, given that the person prefers Brand A -0.67

3 0

3 years ago

Read 2 more answers

In 1990, a magazine collected data and published an article evaluating freezers. It listed 45 models, giving the brand, cost (do

Anna71 [15]

Complete question is;

In 1990, a magazine collected data and published an article evaluating dryers. It listed 45 models, giving the brand, cost (dollars), size (cu ft), type, estimated annual energy cost (dollars), an overall rating (good, excellent, etc.), and repair history for that brand (percentage requiring repairs over the past 5 years).

The W's are Who, What, When, Where, Why, and hoW.

1) Identify the Who. Choose the correct answer below.

A. 45 models of dryers

B. Dryers

C. Brands of dryers

D. Size of dryers dryers

2) Identify the What. Choose the correct answer below.

A. Brand, type, overall rating

B. Brand, cost, size, type, estimated annual energy cost, overall rating, repair history

C. Cost, size, estimated annual energy cost, repair history

D. Brand, cost, size, type

3) Identify the When. Select the correct choice below and, if necessary, fill in any answer boxes within your choice.

A. The data were recorded in 1990.

B. The information is not provided.

4) Identify the Where. Choose the correct answer below.

A. The 45 models of dryers

B. The information is not provided.

C. The population of dryers

5) Identify the Why. Choose the correct answer below.

A. To provide information to the magazine's readers

B. To write an article about dryers

C. To compare the size of the dryers

D. To collect information about dryers

6) Identify the hoW. Choose the correct answer below.

A. The different dryers belonged to the magazine's employees.

B. The dryers were chosen at random.

C. The information is not provided.

7) Identify each variable as either categorical or quantitative.

Brand

▼

Categorical

Quantitative

Estimated annual energy cost

▼

Quantitative

Categorical

Cost

▼

Categorical

Quantitative

Overall rating

▼

Categorical

Quantitative

Size

▼

Quantitative

Categorical

Repair history

▼

Quantitative

Categorical

Type

▼

Categorical

Quantitative

8) For each quantitative variable, determine the units in which it was measured.

Cost

▼

Dollars

Not specified

Pounds

Estimated annual energy cost

▼

Dollars

Pounds

Not specified

Size

▼

Cubic inches

Cubic feet

Feet

Inches

Not specified

Repair history

▼

Years

Percentages

Not Specified

Answer:

All answered below.

Step-by-step explanation:

1) Option A: 45 models of dryers

2) Option B: Brand, cost, size, type, estimated annual energy cost, overall rating, repair history

3) Option A: The data were recorded in 1990.

4) Option B: The information is not provided.

5) Option A: To provide information to the magazine's readers

6) Option C. The information is not provided.

7) - Brand variable is Categorical

- Estimated annual energy cost variable is Quantitative

- Cost variable is Quantitative

- Overall rating variable is Categorical

- Size variable is Quantitative

- Repair history variable is Quantitative

- Type variable is Categorical

8) - cost is in dollars)

- estimated annual energy cost is in dollars

- size is in cu. ft

- repair history is in percentages

8 0

3 years ago