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Mrrafil [7]
3 years ago
5

What is the value of x in the equation, 70 = 12 + 9x – 2(x + 6)

Mathematics
2 answers:
lesantik [10]3 years ago
6 0
<h3>Solution :-</h3>

➩ 70 = 12 + 9x - 2 ( x + 6 )

➩ 70 = 12 + 9x - 2x - 12

➩ 70 = 0 + 7x

➩ 70 = 7x

Here we can use 2 methods

Methods :-

  1. Trial and error method :- By adding,subtracting , multiplying or dividing the same variable or constant on LHS & RHS
  2. Transposing :- by transposing a term from LHS to RHS or RHS to LHS

• Trial and error

By dividing with 7 on both sides

➩ 70/7 = 7x/7

➩ x = 10

• Transposing

By transposing 7 from RHS. to LHS

➩ 70/7 = x

➩ x = 10

Hence , x = 10

sergiy2304 [10]3 years ago
4 0

Answer:

x = 10

Step-by-step explanation:

In this question, we would be solving for the x-variable.

Solve:

70 = 12 + 9x - 2(x + 6)

Use the "distributive property":

70 = 12 + 9x - 2x - 12

Combine like terms:

70 = 12 + 7x - 12

70 = 7x

Divide both sides by 7 to get the variable "x" by itself:

10 = x

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Stephanie has a homeowners insurance policy for her $355,000 home with an annual premium of $0.42 per $100 of value and a deduct
frosja888 [35]

Answer:

$0.28 per 100 of value (B)

Step-by-step explanation:

Stephanie has a homeowner insurance policy of $355,000

Annual premium = $0.42 per 100

There is a deductible of $500

Stephanie has an annual out of pocket expense of

[($355,000/100) x $0.42] + $500 = $1,991

From the question, Stephanie now wants a new deductible amount of 1000.

Let X be the new annual premium

[(355,000X) / 100] + 1000 = 1991

3550X + 1000 = 1991

3550X = 1991 -1000

3550X = 991

X = 991/3550

X = 0.2791

X = 0.28 ( approximately)

The new annual premium is $0.28 per 100 of value

5 0
3 years ago
S and Tare mutually<br> exclusive events. Find P(sort)<br> P(S) = 12% P(T) =27%
mario62 [17]

The value of the probability P(S or T) is 39%

<h3>How to determine the probability?</h3>

The probability values are given as:

P(S) = 12% P(T) =27%

For mutually exclusive events,

P(S or T) = P(S) + P(T)

This gives

P(S or T) = 12% + 27%

Evaluate the sum

P(S or T) = 39%

Hence, the value of the probability P(S or T) is 39%

Read more about probability at:

brainly.com/question/11234923

#SPJ1

8 0
2 years ago
Depreciation is the decrease in value of an item. Three years ago, Aaron bought a computer for $930. The computer is now worth $
Umnica [9.8K]

Answer:

$120

Step-by-step explanation:

930-570=360 (Price difference in 3 years)

360 divided by 3= 120 (Price difference for each of the 3 years)

7 0
3 years ago
Jane has three boxes she needs to ship. Box X weighs 33 kg more than Box Y and Box Z weighs 12 kg more than Box Y. She
andreyandreev [35.5K]

Answer:

3w+45=557

Step-by-step explanation:

Let the weight of box Y be w kg.

Box X weighs 33 kg more than Box Y, then the weight of box X is

w+33 kg.

Box Z weighs 12 kg more than Box Y, then the weight of box Z is

w+12 kg.

The total weight of all boxes is

w+(w+33)+(w+12)=w+w+33+w+12=3w+45 kg

Jane measured the total weight of all the boxes and it was found to be 557 kg, therefore,

3w+45=557

or

3w=512

3 0
3 years ago
HELP PLEASE WILL MARK BRAINLIEST!!
Arte-miy333 [17]

Answer:

Answer is option d)346.4 ft

Step-by-step explanation:

from \: the \: figure \\ AB = 300 \: ft \:  \:  \: angle \: C = 60  \:( theta)\: degress \\ in \: triangle \: ABC \: using \:  tan \: theta\\  \tan(60)  =  \frac{opposite \: side}{adjacent \: side}  \\  \tan(60)  =  \frac{300}{BC}  \\  \sqrt{3}  =  \frac{300}{BC}  \\ BC =  \frac{300}{ \sqrt{3} }  \\ BC = 100 \sqrt{3} ft \\ then \: in \: triangle \: ABD \: using \: tan \: theta \\ angle \: D = 30 \: degrees \: (theta) \\   \tan(30 )  =\frac{opposite \: side}{adjacent \: side} \\  \tan(30)   =  \frac{300}{BD}  \\  \frac{1}{ \sqrt{ 3} }  =  \frac{300}{BD}  \\ BD = 300 \sqrt{3}  \\ CD = BD - BC \\  = 300 \sqrt{3 }  - 100 \sqrt{3}  \\  = (300 - 100) \sqrt{3}  \\  = 200 \sqrt{3 }  \\  = 200 \times 1.732 \\  = 346.4 \: ft

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

7 0
3 years ago
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