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3 years ago

11

Simplify by combining like terms 6a + 3b + a + 2

1 answer:

IrinaK [193]3 years ago

6 0

Answer:

$7a+3b+2$

Step-by-step explanation:

$6a+3b+a+2$

Use commutative property of addition $x+y=y+x$

$6a+3b+a+2=6a+(a+3b)+2$

use associative property of addition $x+(y+2)=(x+y)+2$

$6a+(a+3b)+2=(6a+a)+3b+2\\=7a+3b+2$

Hence $6a+3b+a+2=7a+3b+2$

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4 years ago

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3 years ago

20 people applied for a job. Everyone either has a school certificate or diploma or even both. If 14 have school certificates an

STatiana [176]

Given:

Either has a school certificate or diploma or even both = 20 people

Having school certificates = 14

Having diplomas = 11

To find:

The number of people who have a school certificate only.

Solution:

Let A be the set of people who have school certificates and B be the set of people who have diplomas.

According to the given information, we have

$n(A)=14$

$n(B)=11$

$n(A\cup B)=20$

We know that,

$n(A\cup B)=n(A)+n(B)-n(A\cap B)$

$20=14+11-n(A\cap B)$

$20=25-n(A\cap B)$

Subtract both sides by 25.

$20-25=-n(A\cap B)$

$-5=-n(A\cap B)$

$5=n(A\cap B)$

We need to find the number of people who have a school certificate only, i.e. $n(A\cap B')$ .

$n(A\cap B')=n(A)-n(A\cap B)$

$n(A\cap B')=14-5$

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Therefore, 9 people have a school certificate only.

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3 years ago

Use the chart to estimate the population density of Romania in 1997. Round to the nearest person.

STALIN [3.7K]

The population density of Romania in 1997 given its area and the population is 95 people per square km.

<h3>What is the population density?</h3>

Population density is the number of people that live in a square kilometer of an area. It is determined by dividing total population by total area.

Population density = population / area

22.600,000 / 237301 = 95 people per square km

To learn more about population density, please check:

brainly.com/question/3704320

#SPJ1

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2 years ago