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2 years ago

Order of operations, step by step 56-12 / 6+4

Mathematics

1 answer:

icang [17]2 years ago

7 0

Answer:

Step-by-step explanation:

<u>Order of operations:</u>

Parentheses
Exponents
Multiplication-Division
Addition-Subtraction

<u>Solve:</u>

56-12 / 6+4

56 - (12/6) +4 { No Multiplication but do have Division} (12/6 = 2)

56 - 2 + 4 {Subtraction ⇒ 56-2 = 54}

54 + 4 { Addition ⇒ 54 + 4 = 58}

<u>Answer = </u>58

[RevyBreeze]

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Is the solution 3/4 or 5 of 4.5x=18

notka56 [123]

Answer:

Step-by-step explanation:

divide each side by 4.5
x would be left equal to 4

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2 years ago

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The perimeter of rectangular park is 450m.the length of the sides is in the ratio 3:2.find the area of the rectangle

matrenka [14]

Answer: 12,150 m²

<u>Step-by-step explanation:</u>

The ratio is 3:2 which means

Length (L) = 3x

Width (w) = 2x

Perimeter (P) = 2L + 2w

450 = 2(3x) + 2(2x)

450 = 6x + 4x

450 = 10x

45 = x

L = 3x w = 2x

= 3(45) = 2(45)

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3 years ago

Find the surface area of a square prism with a side measure of 15

Phoenix [80]

Since the length is 15, and the width would be 15, you need to first do 15 x 15.

15 x 15 = 225

Multiply the 6 faces.

225x6

Your final answer would be 1,350.

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3 years ago

Find the value of sin T rounded to the nearest hundredth, if necessary.

katovenus [111]

<h3>Answer: 0.6</h3>

========================================

Work Shown:

sin(angle) = opposite/hypotenuse

sin(T) = VU/VT

sin(T) = 3/5

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2 years ago

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1)Sheyna drive to the lake and back. It took two hours less time to get there than it did to get back. The average speed on the

ipn [44]

Answer:

8 hours

Step-by-step explanation:

Given:

Sheyna drives to the lake with average speed of 60 mph and

$v_1 = 60\ mph$

Sheyna drives back from the lake with average speed of 36 mph

$v_2 = 36\ mph$

It took 2 hours less time to get there than it did to get back.

Let $t_1$ be the time taken to drive to lake.

Let $t_2$ be the time taken to drive back from lake.

$t_2-t_1 = 2$ hrs ..... (1)

To find:

Total time taken = ?

$t_1+t_2 = ?$

Solution:

Let D be the distance to lake.

Formula for time is given as:

$Time =\dfrac{Distance}{Speed }$

$t_1 = \dfrac{D}{60}\ hrs$

$t_2 = \dfrac{D}{36}\ hrs$

Putting in equation (1):

$\dfrac{D}{36}-\dfrac{D}{60} = 2\\\Rightarrow \dfrac{5D-3D}{180} = 2\\\Rightarrow \dfrac{2D}{180} = 2\\\Rightarrow D = 180\ miles$

So,

$t_1 = \dfrac{180}{60}\ hrs = 3 \ hrs$

$t_2 = \dfrac{180}{36}\ hrs = 5\ hrs$

So, the answer is:

$t_1+t_2 = \bold{8\ hrs}$

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3 years ago