Consider the original rectangle and the rectangle that has been reduced by 0.5.

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. $n(A\cap B')$ .

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

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

$n(A\cap B')=9$

Therefore, 9 people have a school certificate only.

3 0

3 years ago

I ONLY HAVE 10 POINTS SRY. PLS ANSWER RESPECTFULLY AND CORRECTLY FOR BRANLIEST. THX THX THX THX

Solnce55 [7]

Answer:

06.07 Equivalent Expressions

by Dominique

The ending of Sarah 's story

By the end of the day Sarah had found 4 shark teeth . John had found 2 shark teeth , together they had 6 shark teeth. When Sarah and John showed her neighbor the teeth he or she paid Sarah $30 dollars. Sarah and John had split the money so John would have $15 dollars and Sarah would have $15 dollars.

i already did this exact answer with someone else so i just copied my answer from that and placed it on this on

Step-by-step explanation:

Substitution: Two

Use substitution to prove that your two expressions are equivalent.

7(9j+ 6j + 2)

63j + 14 + 42j

63 x 1 + 42 x 1 + 14

63 x 1= 63

42 x 1=42

42 + 63 + 14

42 + 63 = 105

105 + 14 = 119

Part 2: Writing Expressions

Substitution : One

2. Translate the algebraic expression you created in Question 1 to a verbal expression

The product of seven and the sum of the product of nine and some number, two, and the product of six and some number.

Use substitution to prove that your two expressions are equivalent.

7(9j+ 6j + 2)

7( 9 x 1 + 6 x 1+ 2 )

9 x 1= 9

6 x 1= 6

7 ( 9 + 6 + 2 )

9 + 6 = 15

15 + 2 += 17

7 x 17 = 119

Part 1: Writing Expressions

1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.

My expression is 7(9j+ 2 + 6j) .

Writing Equivalent Expressions

Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.

Sarah can use the expression 5(2j + 3 + j) to represent the amount of money she can earn.

You will now use mathematical properties to create two expressions that are equivalent to the expression you created in Question 1. Make sure you show all steps in your work.

7(9j+ 2 + 6j) = 7(9j+ 6j + 2) = The Commutative Property of Addition.

7(9j+ 2 + 6j) = 63j + 14 + 42j = The Distributive Property

The beginning of Sarah 's story

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j = 3x + 2

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