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Flauer [41]
1 year ago
8

4(2*2 + 3) - 2*2 = -(3*2 - 1) + 29

Mathematics
2 answers:
mel-nik [20]1 year ago
7 0

Answer:

24 = 24

Step-by-step explanation:

<u>PEMDAS</u>

The PEMDAS rule is an acronym representing the <u>order of operations</u> in math:

  • Parentheses
  • Exponents
  • Multiplication and Division (from left to right)
  • Addition and Subtraction (from left to right)

<u>Solution Option 1</u>

(Taking * as a multiplication sign)

Given equation:

4(2 × 2 + 3) - 2 × 2 = -(3 × 2 - 1) + 29

Following the <u>order of operations</u>, carry out the operations inside the parentheses first, starting with the <u>multiplication</u>:

4(4 + 3) - 2 × 2 = -(6 - 1) + 29

Carry out the <u>addition and subtraction</u> inside the parentheses:

4(7) - 2 × 2 = -(5) + 29

Now carry out the multiplication:

28 - 4 = -5 + 29

Finally carry out the addition and subtraction:

24 = 24

<u>Solution Option 2</u>

(Taking * as a "raising to the power of" sign)

Given equation:

4(2² + 3) - 2² = -(3² - 1) + 29

Following the <u>order of operations</u>, carry out the operations inside the parentheses first, starting with the <u>exponents</u>:

4(4 + 3) - 2² = -(6 - 1) + 29

Carry out the <u>addition and subtraction</u> inside the parentheses:

4(7) - 2² = -(5) + 29

Now carry out the exponents:

28 - 4 = -5 + 29

Finally carry out the addition and subtraction:

24 = 24

Kay [80]1 year ago
5 0

Answer:

24=24

Step-by-step explanation:

4(4+3) - 4 = -(6-1) + 29

4 * 7 -4 = -5 + 29

24 = 24

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A plane takes off from an airport and flies at a speed of 400km/h on a course of 120° for 2 hours. the plane then changes its co
butalik [34]

Answer:

Distance from the airport = 894.43 km

Step-by-step explanation:

Displacement and Velocity

The velocity of an object assumed as constant in time can be computed as

\displaystyle \vec{v}=\frac{\vec{x}}{t}

Where \vec x is the displacement. Both the velocity and displacement are vectors. The displacement can be computed from the above relation as

\displaystyle \vec{x}=\vec{v}.t

The plane goes at 400 Km/h on a course of 120° for 2 hours. We can compute the components of the velocity as

\displaystyle \vec{v_1}=

\displaystyle \vec{v_1}=\ km/h

The displacement of the plane in 2 hours is

\displaystyle \vec{x_1}=\vec{v_1}.t_1=.(2)

\displaystyle \vec{x_1}=km

Now the plane keeps the same speed but now its course is 210° for 1 hour. The components of the velocity are

\displaystyle \vec{v_2}=

\displaystyle \vec{v_2}=km/h

The displacement in 1 hour is

\displaystyle \vec{x_2}=\vec{v_2}.t_2=.(1)

\displaystyle \vec{x_2}=km

The total displacement is the vector sum of both

\displaystyle \vec{x_t}=\vec{x_1}+\vec{x_2}=+

\displaystyle \vec{x_t}=km

\displaystyle \vec{x_t}=

The distance from the airport is the module of the displacement:

\displaystyle |\vec{x_t}|=\sqrt{(-746.41)^2+492.82^2}

\displaystyle |\vec{x_t}|=894.43\ km

8 0
3 years ago
14. Given: 5x + 4y = 24, x + 7y= 11; Prove: y= 1<br> Statements<br> reasons
Semenov [28]

Answer:

Step-by-step explanation:

We can use the process of elimination as

5x + 4y = 24

5(x + 7y = 11) —>          5x + 35y = 55

5x + 4y = 24

-(5x + 35y = 55)

—————————

-31y = -31

-31y/-31 = -31/-31

y=1

4 0
3 years ago
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Masja [62]
It is
(3-x)^2
i made sure it correct this time
3 0
3 years ago
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PLEASE HELP!!!! WILL GIVE BRAINLIEST!!!In two or more complete sentences explain how you would set up and solve the following eq
olchik [2.2K]

Peter's account is 910-40x, and Marla's account is 470-2x. This is a system, so you must find the number that makes both equations end up with the same number. Basically trial and error. Here is what I did:

Let's try the number 10. 910-400=510 and 470-20=450. I need a higher number.

Let's try 13 next. 910-520=390 and 470-26=444. Now the number has to be lower.

Let's try 12. 910-480=430 and 470-24=446. Close, and a little lower.

11.5 is too low, and 11.7 is too high.  11.6 has Equation 1 at 446 and Equation 2 at 446.8. Very close!

It is somewhere around 11.6. I hope that this can give you a start in figuring it out, because I don't believe in giving the complete answer, because then you do not learn anything from it.

4 0
3 years ago
Read 2 more answers
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exis [7]

Answer:

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Step-by-step explanation:

From the question, Diana wants her total bill to be less than $50.

Diana pays a fixed monthly bill of

$39 for her mobile phone and an additional

$0.15 per minute for phone internet service.

The bill Diana pays for m minutes of using the internet is $0.15m in a month.

The total monthly bill becomes,

39+0.15m

The maximum bill she wants to pay is $50.

\implies39+0.15m \leqslant 50

This inequality can be solved to determine the number of available minutes.

4 0
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