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3 years ago

What is the value of p in the equation 4p 3(p 4) = 12p 12? 12 1 0 −1

Mathematics

2 answers:

Varvara68 [4.7K]3 years ago

8 0

4p + 3(p + 4) = 12p + 12
4p + 3p + 12 = 12p + 12
7p + 12 = 12p + 12
5p = 0
p = 0

Anettt [7]3 years ago

6 0

Answer:

Option (3) is correct.

p = 0

Step-by-step explanation:

Given : equation $4p\:+3\left(p+\:4\right)\:=\:12p+\:12$

We have to simplify for p and choose the correct option from the given options.

Consider the given equation $4p\:+3\left(p+\:4\right)\:=\:12p+\:12$

Expand brackets by multiplying 3 with each term of bracket, we have,

$3(p+4)=3p+12$

Thus, given equation becomes,

$4p+3p+12=12p+12$

Add similar terms, 4p and 3p, we have,

$7p+12=12p+12$

Subtract 12 from both sides, we have,

$7p+12-12=12p+12-12$

Simplify, we have,

$7p=12p$

Subtract 12p both sides, we have,

$7p-12p=12p-12p$

Simplify,

-5p = 0

This implies p = 0

Thus, option (3) is correct.

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Solve for the equation 4a-8=28

hoa [83]

4a-8=28
add 8 to both sides to start to isolate the variable (a)
-8+8 cancels each other out
28+8=36
4a=36
to completely isolate the variable divide both sides by 4
4a÷4=a
36÷4=9
a=9

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3 years ago

3:5 as a ladder methed

8090 [49]

Answer:

yes

Step-by-step explanation:

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2 years ago

An office manager has received a report from a consultant that includes a section on equipment replacement. the report indicates

wolverine [178]

Answer:

a) 22.663%

b) 44%

c) 38.3%

Explanation:

An office manager has received a report from a consultant that includes a section on equipment replacement. The report indicates that scanners have a service life that is normally distributed with a mean of 41 months and a standard deviation of 4 months. On the basis of this information, determine the percentage of scanners that can be expected to fail in the following time periods:

We solve the above question using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 41 months

σ is the population standard deviation = 4 months

a. Before 38 months of service

Before in z score score means less than 38 months

Hence,

z = 38 - 41/4

z = -0.75

Probability value from Z-Table:

P(x<38) = 0.22663

Converting to percentage = 0.22663 × 100

= 22.663%

b. Between 40 and 45 months of service

For x = 40 months

z = 40 - 41/4

z = -0.2

Probaility value from Z-Table:

P(x =40) = 0.40129

For x = 45

z = 45 - 41/4

z = 1

Probability value from Z-Table:

P(x = 45) = 0.84134

Between 40 and 45 months of service

= 0.84134 - 0.40129

= 0.44005

Converting to Percentage

= 0.44005 × 100

= 44.005%

= 44%

c. Wihin ± 2 months of the mean life

+ 2 months = 41 months + 2 months

= 43 month

- 2 months = 41 months - 2 months

= 39 months

For x = 43

z = 43 - 41 /4

z = 0.5

P-value from Z-Table:

P(x = 43) = 0.69146

For x = 39

z = 39 - 41/4

z = -2/4

z = -0.5

Probability value from Z-Table:

P(x = 39) = 0.30854

Within ± 2 months of the mean life

= 0.69146 - 0.30854

= 0.38292

= 38.3%

Learn more about z-score:

brainly.com/question/17436641

#SPJ4

4 0

2 years ago

784x44=? Step by step.

Triss [41]

Answer:

34496

Step-by-step explanation:

i dont know how 2 explain this but you have to do the traditional way of multiplying PLS MARK BRAINLIEST

7 0

2 years ago

What is the surface area of this triangular prism rounded to the nearest tenth? A) 48.6km2 B) 63.4 km2 C) 72.6 km2 D) 84.4 km2

Mekhanik [1.2K]

Correct option B) $63.4km^2$ .

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

We have the following figure attached as shown below.

Now, this triangular prism have 2 similar right angled surfaces and 3 rectangular surfaces , Let's calculate area for all of them:

2 similar right angled surfaces

We know that area of triangle = $\frac{1}{2} b(h)$

⇒ $area = \frac{1}{2} b(h)$

⇒ $area = \frac{1}{2} (3.6)(7.7)$

⇒ $area = 13.86km^{2}$

But there 2 such surfaces so , $area = 2(13.86) = 27.72km^2$

3 rectangular surfaces

Area of rectangle = $length(breadth)$

⇒ $area_1 = 3.6(1.8)$

⇒ $area_1 = 6.48km^2$

⇒ $area_2= 7.7(1.8)$

⇒ $area_2 = 13.86km^2$

⇒ $area_3 = 8.5(1.8)$

⇒ $area_2 = 15.3km^2$

Total area = $6.48 + 13.86 + 15.3 = 35.64km^2$

Adding area of 2 similar right angled surfaces & 3 rectangular surfaces:

$Area = 27.72+35.64 = 63.36km^2$ = $63.4km^2$

Correct option B) $63.4km^2$ .

4 0

2 years ago

Read 2 more answers