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Zepler [3.9K]
3 years ago
9

Choose all properties that were used to simplify the following problem:

Mathematics
2 answers:
kvv77 [185]3 years ago
8 0

Answer   commutative property of multiplication

multiplicative inverse

multiplicative identity

Step-by-step explanation:

ycow [4]3 years ago
4 0
All minus the addition
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At a certain high school, 15 students play stringed instruments and
Aleks [24]

Answer:

<em>0</em> is the probability that a  randomly selected student plays both a stringed and a brass  instrument.

Step-by-step explanation:

Given that:

Number of students who play stringed instruments, N(A) = 15

Number of students who play brass instruments, N(B) = 20

Number of students who play neither, N(A \cup B)' = 5

<u>To find:</u>

The probability that a randomly selected students plays both = ?

<u>Solution:</u>

Total Number of students = N(A)+N(B)+N(A \cup B)' =15 + 20 + 5 = 40

(As there is no student common in both the instruments we can simply add the three values to find the total number of students)

As per the venn diagram, no student plays both the instruments i.e.

N(A\cap B) =0

Formula for probability of an event E can be observed as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

P(A\cap B) = \dfrac{N(A\cap B)}{N(U)}\\\Rightarrow \dfrac{0}{40}\\\Rightarrow P(A\cap B) = 0

So, <em>0</em> is the probability that a  randomly selected student plays both a stringed and a brass  instrument.

5 0
3 years ago
Find the 76th term of the arithmetic sequences 16 14 12
grigory [225]

Answer:

a₇₆ = - 134

Step-by-step explanation:

The n th term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 16 and d = a₂ - a₁ = 14 - 16 = - 2, then

a₇₆ = 16 + (75 × - 2) = 16 - 150 = - 134

7 0
3 years ago
What is an equation of the line that passes through (-2,3) and is parallel to y=5x + 4.Give your answer in slope intercept form
9966 [12]

Answer:

y= 5x+13

Step-by-step explanation:

<u>Slope- intercept form</u>

y= mx +b, where m is the gradient and b is the y-intercept.

Parallel lines have the same gradient.

y= 5x +4

Gradient of given line= 5

Thus, gradient of line= 5

Subst. m=5 into the equation.

y= 5x +b

To find the value of b, substitute a coordinate

When x= -2, y=3,

3= 5(-2) +b

3= -10 +b

b= 3 +10 <em>(</em><em>+</em><em>1</em><em>0</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

b= 13

Thus, the equation of the line is y= 5x +13.

8 0
3 years ago
Solve these problems and show your work! ONLY HAND WRITTEN answers will be accepted! When
Dahasolnce [82]

For Kohl’s:

Purchase Price:

$60

Discount:

(60 x 25)/100 = $15.00

Final Price:

60 - 15.00 = $45.00

You would save $15.00 from Kohl’s and pay only $45.00

For Target:

Purchase Price:

$38

Discount:

(38 x 15)/100 = $5.70

Final Price:

38 - 5.70 = $32.30

You would save $5.70 from Target and pay only $32.30

Hope this helps! :)

3 0
3 years ago
4/10=x/1 Need help thx
alexdok [17]

Answer:

2/5 =x

Step-by-step explanation:

4/10 = x/1

4/10 =x

Simplify

2/5 =x

8 0
3 years ago
Read 2 more answers
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