Solve the following inequality. Then place the correct answer in the box provided. Answer in terms of a mixed number.

2(P +1) + 3(P + 2 ) > 2

Answers

Answer 1
2P + 2 + 3P + 6 > 2
5P + 8 > 2
Subtract 8 from both sides.
5P > -6
Divide each side by 5.
P > -6/5
Answer 2

Answer: [tex]-1\frac{1}{5}[/tex]

Step-by-step explanation:

[tex]2(P +1) + 3(P + 2 ) > 2[/tex]

Distribute 2 and 3

[tex]2P+2+3P+6>2[/tex]

Combine like terms;

[tex]5P+8>2[/tex]

Subtract 8

[tex]5P>2-8[/tex]

[tex]5P>-6[/tex]

Divide by 5

[tex]P>-\frac{6}{5}[/tex]

Convert to a mixed number by dividing. However, when we have the numerator greater than the denominator, we must find a way to make the numerator lower. We can achieve this by separating it into 2 fractions.

[tex]-\frac{6}{5}=-\frac{5}{5}-\frac{1}{5}[/tex]

When we do this, we can see that 5/5 = 1

[tex]-1-\frac{1}{5}=-1\frac{1}{5}[/tex]


Related Questions

Holly say 4.131131113 is a rational number which of the following best describes whether holly is correct and why

Answers

Answer: Holy is not correct

Step-by-step explanation:

Rational numbers is a decimal number must terminate or repeat. However in this case this number is irational. This is because there is a continues pattern of 1's and 3's

Answer:

holly is not correct

Step-by-step explanation:

Rational numbers is a decimal number must terminate or repeat. However in this case this number is irational. This is because there is a continues pattern of 1's and 3's

I’m kinda stuck on this, could anyone explain it ?

Answers

The slope of the given line is -3/4.

Any line perpendicular to this one will have slope -1/(-3/4) = 4/3.

Use the given point and the point-slope formula to get the equation of the particular line:

y - (-1) = 4/3 * (x - 0)

y + 1 = 4x/3

y = 4x/3 - 1

Help center of circle

Answers

Answer:

Center = (7, - 5)

Radius = 3

Step-by-step explanation:

[tex] {x}^{2} + {y}^{2} + 14x - 10y + 65 = 0 \\ {x}^{2} + 14x + {y}^{2} - 10 + 65 = 0 \\ ( {x}^{2} + 14x + {7}^{2}) - {7}^{2} + ({y}^{2} - 10y + {5}^{2}) \\- {5}^{2} + 65 = 0 \\ (x + 7)^{2} + (y - 5)^{2} - 49 - 25 + 65 = 0 \\ (x + 7)^{2} + (y - 5)^{2} - 49 + 40= 0 \\ (x + 7)^{2} + (y - 5)^{2} - 9= 0 \\ (x + 7)^{2} + (y - 5)^{2} = 9 \\ (x + 7)^{2} + (y - 5)^{2} = {3}^{2} \\ equating \: it \: with \: \\ (x - h)^{2} + (y - k)^{2} = {r}^{2} \\ - h = 7 \implies \: h = - 7 \\ - k = - 5 \implies \: k = 5 \\ center = ( - h, \: - k) = (7, \: \: - 5) \\ \\ radius \: r = 3[/tex]

George gets a pay rise from £632 per week to £711 per week. What percentage pay rise was he given?

Answers

Answer:

12.5%

Step-by-step explanation:

£632 - 100%

£711 - ?%

?%= (711*100)/632 = 112.5%

112.5-100=12.5%

[tex]S= \frac{n}{2} [2a + (n - 1)d][/tex]
Make d the subject of the formula. Please help I need answer ASAP. ​Please help!!!!!!!!!!!!

Answers

Answer:

d = [tex]\frac{2S-2an}{n(n-1)}[/tex]

Step-by-step explanation:

Given

S = [tex]\frac{n}{2}[/tex] [ 2a + (n - 1)d ]

Multiply both sides by 2 to clear the fraction

2S = n [ 2a + (n - 1)d ] ← distribute the bracket by n

2S = 2an + n(n - 1)d ( subtract 2an from both sides )

2S - 2an = n(n - 1)d ← divide both sides by n(n - 1)

[tex]\frac{2S-2an}{n(n-1)}[/tex] = d

Answer:

Hope this helps:)

If so please mark me as Brainliest.

Ansley’s age is 5 years younger than 3 times her cousin’s age. Ansley is 31 years old.

Let c represent Ansley’s cousin’s age. What expression, using c, represents Ansley’s age?

Answers

Answer: the correct answer is 3c-5

Step-by-step explanation: I just solved it

Note that the expression "3c - 5" represents Ansley's age, and if Ansley is 31 years old, her cousin's age (c) would be 12.

How to compute the above

According to the given information, Ansley's age is 5 years younger than 3 times her cousin's age.

We can represent this mathematically as  -

Ansley's age = 3 * Cousin's age - 5

Using the variable c to represent the cousin's age, the expression representing Ansley's age would be  -

3c - 5

Thus , the expression "3c - 5" represents Ansley's age in terms of her cousin's age (c).

Learn more about expression at:

https://brainly.com/question/1859113

#SPJ2


Which expression is equal to the expression below?
(7•2)

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

When the exponent is outside the parenthesis, the exponent is connected to every part of the equation.

Ubstitute the value for the variable, and state in a complete sentence whether the resulting number sentence is true or false. 20 > 86 − ℎ. Substitute 46 for ℎ.

Answers

Answer:

The number sentence is false.

Step-by-step explanation:

The inequality given is

20 > 86 − ℎ

We are to substitute the value of h as 46 to see if the inequality is true or false.

20 > 86 - 46

20 > 40

Since 20 is not greater than 40, the number sentence is false.

The first three terms of a geometric sequence are shown below. What is the eighth term of the sequence?

Answers

Answer:

A) -128x^8 - 384x^7

Step-by-step explanation:

The pattern is each term is multiplied by -2x which means by the eighth term youll have 8 x's in the first and 7 in the second. As you started off with a positive and multiplied it an even amount of time you'd end up with a negative answer. Think of it like this, it switches with each multiple so it would go: Positive, negative, positive, negative, this will get you a negative in the eighth term.

I know my explanation is a bit bad! I apologize!

Answer:

its a

Step-by-step explanation:

edge 2020 just took the test

What is the slope of a line that is perpendicular to the line in the graph?

Answers

Answer:

1

Step-by-step explanation:

The line in the graph has a slope of -1. The slopes of lines that are perpendicular have a product of -1 so the answer is 1.

On a coordinate plane, 2 polygons are shown. Polygon A B C D has points (1, negative 6), (5, negative 6), (6, negative 2), and (0, negative 2). Polygon A double-prime B double-prime C double-prime D double-prime has points (1.5, 4), (3.5, 4), (4, 2), and (1, 2). What steps would you take to determine if these figures are similar? Check all that apply. Use a scale factor of 2. Multiply the vertices of polygon ABCD by One-half. Translate the intermediate image 4 units down. Perform two different dilations. Reflect the intermediate image.

Answers

Answer:

B and E

Step-by-step explanation:

edge 2021 (??)

What steps would you take to determine if these figures are similar? Check all that apply.

Use a scale factor of 2.

Multiply the vertices of polygon ABCD by One-half.

Translate the intermediate image 4 units down. - CORRECT

Perform two different dilations.

Reflect the intermediate image. - CORRECT

1. Which point represents a value that is less
than -1 and greater than -5?

Answers

Um not sure...Absolute value?

Jack has a part time job selling clothes at a clothing store. He earns
$50 per week plus 10% of the value of her weekly sales. This week Jack
earned $250. What is the total value of his sales this week? *​

Answers

Answer:

$2,000

Step-by-step explanation:

$250-$50=$200

$200*10=$2,000

Select the expression that represents the multiplicative inverse of -4. A. -(-4) B. C. 4 D. -4

Answers

Answer:

-1/4

Step-by-step explanation:

Multiplicative inverse is another word for reciprocal

It is the number you multiply by to get 1

-4 * x = 1

Divide each side by -4

x = 1/-4

x = -1/4

Answer:

- 1/4

Step-by-step explanation:

- 4 * x = 1

= - 1/4

Hope this helps!

find the coordinates of the vertices of the triangle after a reflection across the line x= -1 and then across the x-axis​

Answers

Answer:  C

Step-by-step explanation:

Reflection across x = -1

The simplest way to calculate the new coordinates is to draw x = -1, count how many units away the point is from x = -1, then count the same number of units from x = -1 in the OPPOSITE direction to find the reflection. (see attachment)

J = (0, 0) is 1 unit to the right of x = -1

J' = (-2, 0) is 1 unit to the left of x = -1

K = (1, 4) is 2 units to the right of x = -1

K' = (-3, 4) is 2 units to the left of x = -1

L = (3, 3) is 4 units to the right of x = -1

L' = (-5, 3) is 4 units to the left of x = -1

Reflection across x-axis

Change the sign of the y-value:  (x, y) → (x, -y)

J' = (-2, 0)           J'' = (-2, 0)

K' = (-3, 4)           K'' = (-3, -4)  

L' = (-5, 3)            L' = (-5, -3)

Summer Grade 6 PBL 1 Pre-Assessment
1 According to a survey conducted by the Texas Free Press, 125 out of 500 people do not
have internet access at their homes. What percent of the people surveyed do have
internet access at their homes?
I
А
12.5%
B
25%
с
37.5%
D
75%
Tyne here to search
BI
E
12

Answers

B. 25% because 125 divided by 500 is 0.25

Find the greatest common factor of 30 and 75.

Answers

Answer:

15

Step-by-step explanation:

prime factorization of 30 is 2*3*5

prime factorization of 75 is 3*5*5

3*5 is common

6. What is the slope of a line perpendicular to the line whose equation is y = 2x -5?*

1) -2
2) 2
3) 1/2
4) -1/2

Answers

Answer: -1/2

You get y = 2x - 5, so the slope is 2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is -1/2.

help please
7^-1 x 7^5/7^6

Answers

Answer:7^-2

Step-by-step explanation:

7^-1(7^5/7^6)=7^-1*7^(5-6)=7^-1*7^-1=7^(-1-1)=7^-2

Solve this inequality.

8x + 6 less than or equel to 54

Answers

Answer:

[tex]x\le 6[/tex]

Step-by-step explanation:

We need to solve the given inequality [tex]8x+6\le 54[/tex] ....(1)

Subtract 6 on both sides of the equation as :

[tex]8x+6-6\le 54-6\\\\8x\le 48[/tex]

Dividing both sides of the equation by 8 such that,

[tex]x\le 6[/tex]

So, the value of x is less than equal to 6. Hence, this is the required solution.

What time is it if half of what has already passed remains until the end of today?

Answers

Answer:

4 p.m.

Step-by-step explanation:

We know that a day contains 24 hours in total.

The time already passed will be represented by [tex]x[/tex].

The remaining time would be [tex]\frac{x}{2}[/tex], becasye half of what has already passed remains until the end of the day.

Basically, the sum of these two expression gives 24 hours in total.

[tex]x + \frac{x}{2} =24\\\frac{3x}{2}=24\\ x=16[/tex]

Therefore, the actual time is 4 p.m.

A rectangle is 6 inches longer than it is wide. Write and simplify an expression for
the perimeter of the rectangle in terms of the width w.

Answers

Answer:

L+6=W

Step-by-step explanation:

Answer:

4w + 12

Step-by-step explanation:

w + (w+6) + w + (w+6) = 4w + 12

for perimeter you add all the sided together

w = width

w + 6= length

*I WILL MARK YOU BRAINLIEST!!!* Whose football reaches a greatest height?

Answers

Answer:

Austin's football

Step-by-step explanation:

If you graph the equation for James's ball, you will find that the maximum height is at 5.125 feet. For Austin, it is over 8 feet. Therefore, Austin's ball goes higher. Hope this helps!

Answer:

austin's

Step-by-step explanation:

Can someone please help me

Answers

Answer:

1) [tex]\frac{3}{7} = \frac{15}{35}[/tex]

2) [tex]\frac{64}{48}=\frac{4}{3}[/tex]

3) [tex]\frac{21}{56}=\frac{3}{8}[/tex]

Step-by-step explanation:

ESTAS SON FRACCIPONES EQUIVALENTES

1. 3(35)/7 = 15 ENTONCES 15/35

2. 48(4)/3 = 64 ENTONCES 64/48

3. 56(3)/21 = 8 ENTONCES 3/8

Find the minimum value of C=x+3y

Answers

Answer:

c

Step-by-step explanation:

2x + 3y > 6                                                                                                          (1)

3x – 2y = 9                                                                                                         (2)

x + 5y = 20                                                                                                        (3)

From (1) and (2), we have:

(2x + 3y) - (3x - 2y) > 6 - 9

5y - x > -3                                                                                                          (4)

From (3) and (4), we have:

(x + 5y) - (5y - x) > 20 - (-3)

2x > 23

x > 12,5                                                                                                               (5)

From (3) and (5), we have:

x + 5y = 20 ⇔ 12,5 + 5y > 20

5y > 7,5

y > 1,5

So: C = 4x + 3y > 12,5 × 4 + 1,5 × 3 = 50 + 4,5 = 54,5

Conclusion: C > 54,5

Find the volume of the sphere. Round to the nearest tenth, if necessary. (Use π = 3.14)

113.0 in^3
339.1 in^3
28.3 in^3
113.0 in^2

Answers

Steps:

Shape: Sphere

Solved for volume

Radius: 3

Formula: V=4 /3πr3

1: know the height. We don't have to round to the nearest tenth. The correct answer for this question is 113.0.

Answer:  113.0

Please mark brainliest

Hope this helps.

On a coordinate plane, Curtis lives at (-4,-6) and John lives at (-4,-3) . If each unit on the grid is a mile, how many miles apart are John and Curtis.

Answers

Answer:

3 miles

Step-by-step explanation:

Since the x coordinates are the same, we only need to find the distance between the y coordinates

-3 - -6

-3 +6

3 units

Each unit is 1 mile

3 units * 1 miles / 1 unit =  3 miles

Convert 1 1/3 to a improper fraction

Answers

Answer:

3 2/3

Step-by-step explanation:

Divide 11 by 3 using long division method. then place the quotient as whole number and reminder as numerator and dividend as denominator

The fraction 1 1/3 as an improper fraction is 4/3

How to write an improper fraction

From the question, we have the following parameters that can be used in our computation:

Fraction =  1 1/3

When converted to an improper fraction, we have

Numerator = 3 * 1 + 1

Evaluate

Numerator = 4

The denominator remains the same

So, we have

Fraction =  4/3

Hence, the fraction is 4/3

Read more about fraction at

brainly.com/question/31896427

#SPJ6

Please help, thank you

Answers

Answer:

The sum = 4092

Step-by-step explanation:

The sum is equal to A, in which:

A = 4 x (2^0 + 2^1 + 2^2 + ... + 2^9)

   = 4 x [(1 + 2^1 + 2^2 + ... + 2^9)(2 - 1)/(2 - 1)]

   = 4 x (2^10 - 1)(2 - 1)

   = 4 x (2^10 - 1)

  = 4 x  1023

  = 4092

Hope this helps!

Answer:

4092

Step-by-step explanation:

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a[tex]r^{n-1}[/tex]

where a is the first term and r the common ratio

4[tex](2)^{n-1}[/tex] ← is the n th term of a geometric sequence

with a = 4 and r = 2

The sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex] , thus

[tex]S_{10}[/tex] = [tex]\frac{4(2^{10}-1) }{2-1}[/tex] = 4(1024 - 1) = 4 × 1023 = 4092

Find the midpoint between the two points of the line in the image below.

Answers

Answer:

(-2,0.5)

Step-by-step explanation:

1st set of Point=(-5,-2)

2nd set  of Point=(1,3)

Midpoint=(X1+X2/2 , Y1+Y2/2)

=(-5+1/2 , -2+3/2)

=(-2,0.5)

Other Questions
What is the perpendicular and parallel line of 8x + 5y=4 Which of the following does not support creating curriculum out of play?A. Providing resourcesB. Giving children freedom of choiceC. Offering structured rules and guidelinesD. Allowing sensory play with no objective measurement i have a daily allowance of 70grm but have only used 48 what percentage do i have left If a countrys total fertility rate (TFR) is measured at 1, what does this number most likely indicate about the countrys population?A.The countrys population is aging.B.The countrys population is growing.C.The countrys birth rate is far higher than the country's death rate.D.The countrys population is becoming younger on average. In what year was gun ownership highest?1990198619962000 we can describe 12-8 as an expression . it can also be written as 4(3-2) 4 and 3-2 are both...of 12-8 Could Japan have won the war in the Pacific? Answer in 3-5 sentences. Zombie Corp. has a profit margin of 5.1 percent, a total asset turnover of 1.95, and ROE of 16.15 percent.What is this firm's equity multiplier? What is this firm's debt-equity ratio? why is the statement The sun is the basis for all life on Earth true? Which statement is a consequence of objectivism? Group of answer choices Moral rules apply in all cases, without exceptions. Whether an action is objectively right depends on its consequences. If two people have a moral disagreement, only one of them can be right. Everyone has the same beliefs about morality. How many molecules of water are in 5 moles If something is public domain who can use it?O JudgesO ProducersSingersAll the above The probability that an event will happen is P(E)=34. Find the probability that the event will not happen. when a long term alcohol abuser develops jaundice this is an indication that the persons kidneys have been damagedA. TrueB. False What is the simplified form of the expression?(3x^2+5x-8)+(5x^2-13x-5) Which graph represents a function? answerr FASTTTT PLZZZ Please help with these questions :( respuestas del libro plus 1 (frances) _____ prevents disease keep tissue healthy and protect vital organs from damage On January 1, 2019, Nash Corporation granted 9,600 options to key executives. Each option allows the executive to purchase one share of Nashs $5 par value common stock at a price of $21 per share. The options were exercisable within a 2-year period beginning January 1, 2021, if the grantee is still employed by the company at the time of the exercise. On the grant date, Nashs stock was trading at $24 per share, and a fair value option-pricing model determines total compensation to be $438,000.On May 1, 2021, 7,440 options were exercised when the market price of Culvers stock was $30 per share. The remaining options lapsed in 2023 because executives decided not to exercise their options. Prepare the necessary journal entries related to the stock option plan for the years 2019 through 2023.