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Gemiola [76]
2 years ago
11

What is the solution to the expression 12÷4+(1/3)²⋅9⋅3 ?

Mathematics
2 answers:
krok68 [10]2 years ago
5 0

Answer:

6

Step-by-step explanation:

STEP

1

:

           1

Simplify   —

           3

The equation at the end of step

1

:

 12       1

 —— +  (((—)2) • 9) • 3)

 4        3

STEP

2

:

Equation at the end of step

2

:

 12       1

 —— +  ((—— • 9) • 3)

 4       32

STEP

3

:

Canceling Out:

3.1      Canceling out  32 as it appears on both sides of the fraction line

Equation at the end of step

3

:

 12    

 —— +  (1 • 3)

 4    

STEP

4

:

           3

Simplify   —

           1

Equation at the end of step

4

:

 3 +  3

STEP

5

:

Pulling out like terms

5.1      Pull out     3

After pulling out, we are left with :

     3 • ( 1 - (-1) ))

Final result :

 6

const2013 [10]2 years ago
5 0

Answer:

6

Step-by-step explanation:

12÷4+(1/3)²⋅9⋅3

Pemdas

Exponents

Multiplication

Division

Addition

Subtraction

*For multiplication and division, whichever one comes first (left to right) will be used first. The same goes for addition and subtraction.*

12 ÷ 4 + 1/3⋅1/3 ⋅ 9 ⋅ 3

12 ÷ 4 + 1/9 ⋅ 9 ⋅ 3

12 ÷ 4 + 1 ⋅ 3

3 + 1 ⋅ 3

3 + 3

6

Hope this helps!

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Answer:

Step-by-step explanation:

a= -bx+c divided by y

5 0
3 years ago
Jenny and Natalie are selling cheesecakes for a school fundraiser. Customers can buy chocolate cakes and vanilla cakes. Jenny so
IrinaVladis [17]

The cost of 1 chocolate cake is $ 6 and cost of 1 vanilla cake is $ 7

<em><u>Solution:</u></em>

Let "c" be the cost of 1 chocolate cake

Let "v" be the cost of 1 vanilla cake

<em><u>Jenny sold 14 chocolate cakes and 5 vanilla cakes for 119 dollars</u></em>

Therefore, we can frame a equation as:

14 x cost of 1 chocolate cake + 5 x cost of 1 vanilla cake = 119

14 \times c + 5 \times v=119

14c + 5v = 119 ------- eqn 1

<em><u>Natalie sold 10 chocolate cakes and 10 vanilla cakes for 130 dollars</u></em>

Therefore, we can frame a equation as:

10 x cost of 1 chocolate cake + 10 x cost of 1 vanilla cake = 130

10 \times c + 10 \times v = 130

10c + 10v = 130 -------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

Multiply eqn 1 by 2

28c + 10v = 238 ------ eqn 3

<em><u>Subtract eqn 2 from eqn 3</u></em>

28c + 10v = 238

10c + 10v = 130

( - ) --------------------------

18c = 108

c = 6

<em><u>Substitute c = 6 in eqn 1</u></em>

14(6) + 5v = 119

84 + 5v = 119

5v = 119 - 84

5v = 35

v = 7

Thus cost of 1 chocolate cake is $ 6 and cost of 1 vanilla cake is $ 7

8 0
2 years ago
Find the degree measures of the next two positive and the previous two negative angles that are coterminal with the angle 75°.
AlladinOne [14]

9514 1404 393

Answer:

  • 435°, 795°
  • -285°, -645°

Step-by-step explanation:

Add or subtract multiples of 360° to find coterminal angles.

<u>Positive</u>

  75° +360° = 435°

  75° +2×360° = 795°

<u>Negative</u>

  75° -360° = -285°

  75° -2×360° = -645°

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3 years ago
A scuba diver was at a depth of 125 feet below sea level. He descends 205 more feet below sea level. What is the new depth of th
EleoNora [17]

Answer:

The new depth of the scuba diver is 330 feet below sea level.

Step-by-step explanation:

125 + 205 more below sea level = 330 below sea level

4 0
3 years ago
After the drama club sold 100 tickets to a show, it had $300 in profit. After the next show, it had sold a total of 200 tickets
Alinara [238K]

Answer:


Option a :  y-300 = 4(x - 100)


Step-by-step explanation:

Given :

The drama club sold 100 tickets to a show, it had $300 in profit.

The next show, it had sold a total of 200 tickets and had a total of $700 profit.

To Find :  Equation models the total profit, y, based on the number of tickets sold, x

Solution :

For 100 tickets he had $300 in profit .


⇒ (x_{1} ,y_{1})=(100,300)


For 200 tickets he had $700 in profit .


⇒ (x_{2} ,y_{2})=(200,700)


We will use point slope form i.e.


y-y_{1} = m(x - x_{1}) --(A)


Now, to calculate m we will use slope formula :


m = \frac{y_{2} -y_{1} }{x_{2}-x_{1}  }


m = \frac{700 -300}{200-100}


m =4


Now, putting values in (A)


y-300 = 4(x - 100)


Thus Option a is correct i.e. y-300 = 4(x - 100)




5 0
3 years ago
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