What is the value of p in the linear equation 24p +12 - 18p = 10 + 2p - 6 ? −4 −2 2 4

Answers

Answer 1

Answer:

SO we have to solve this equation:

24p + 12 - 18p = 10 + 2p - 6

First, we will operate what we have in both sides:

24p - 18p + 12 = 10 - 6 + 2p

6p + 12 = 4 + 2p

We substract 2p in both sides and 12 too.

6p + 12 - 2p - 12 = 4 + 2p - 2p - 12

4p = -8

Now, we divide both sides by 4

4p/4 = -8/4

p = -2

Answer 2

The value of p is -2.

The correct option is (B)

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

24p +12 - 18p = 10 + 2p - 6

Now, solving for p

6p + 12= 2p + 4

6p - 2p = 4 -12

4p = -8

p= -8/4

p= -2

Hence, the value of p is -2.

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Related Questions

One angle of a parallelogram measures 45°. What are the measures of the other three angles
in the parallelogram?

Answers

Answer: 135, 45, and 135 are the three other angles

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

Explanation:

For a parallelogram, we'll have opposite angles with the same measure. So if one angle is 45 degrees, then the opposite angle is also 45 degrees. The other two angles are 180-45 = 135 degrees each. Adjacent angles in a parallelogram add to 180 degrees.

what is 16-(-)24+4 and does it equal 44

Answers

Answer:

yes, it equals 44

Step-by-step explanation:

16-(-)24+4=44

Answer:

it is 44

Step-by-step explanation:

2 minus's right by each other turn into a plus sign.

1.A five pack of theater tickets cost $88.75 what is the unit price per ticket?

2.A 4 pack of monster cards costs $6.56, what is the unit price per card?

3.An 8 pack of stickers cost $0.64, what is the unit price per sticker?

4. An 9 pack of apple cost $6.30, what is the unit price per apple?

5. A 5 pack of muffins costs $6.25, what is the unit price per muffin?

6. A 9 pack of lollipops costs $5.85, what is the unit price per lollipop?

7. A 3 pack of batteries costs $ 4.65, what is the unit price per battery?

8. A 6 pack of pencils cost $4.80, what is the unit price per pencil?

9. A 2 pack of books costs $24.80, what is the unit price per book?

10. A 5 pack of stamps cost $5.95, what is the unit price per stamp?

11. An 8 pack of eggs costs $4.80, what is the unit price per eggs?

12. A 10 pack of candy bars costs $5.70, what is the unit price per candy bar?

Answers

Answer:

1. 17.75 per ticket

2. 1.64 per card

3. 0.08 per sticker

4. 0.07 per apple

5. 1.25 per muffin

6. 0.65 per lolipop

7. 1.55 per battery

8. 0.80 per pencils

9. 12.40 per book

10. 1.19 per stamp

11. 0.60 per egg

12. 0.57 per candy bar

Step-by-step explanation:

price divided by ammount

A school of salmon was swimming in the river 5 feet below the surface. To escape a hungry bear, they went down another 3 feet. What is the position of the salmon now relative to the surface? ​

Answers

Answer:

8 Feet below the surface

Step-by-step explanation:

If the salmon were initially 5 feet below the surface, and then travelled down an additional 3 feet from the initial 5, then the new position would be 8 feet down relative to the surface.

You can write this as -5 + -3 = -8, assuming that 0 represents surface level.

Cheers.

The distance of salmon from the surface of the water is 8 feet.

What are mathematical operations?

Calculate the answer using a math operator is referred to as a mathematical operation.

Basic mathematical operations are addition, multiplication, subtraction and division.

Given that,

The distance of school of salmon for the surface of the river = 5 feet.

Since, to escape a hungry bear, the school of salmon went down to 3 feet.

The position of the salmon to the surface = 5 + 3 = 8 feet.

The required distance of school of salmon from the surface of water is 8 feet.

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Simplify (please show work if possible) HELP!!

Answers

Answer:

See below.

Step-by-step explanation:

So we have the expression:

[tex]\sqrt{125a^2b^2}[/tex]

This is the same as:

[tex]=\sqrt{(5ab)^2\cdot5}[/tex]

Expand:

[tex]=\sqrt{(5ab)^2}\cdot\sqrt5[/tex]

The left term cancels:

[tex]=5|ab|\sqrt5[/tex]

Note that we need the absolute value bars because if a and/or b was negative in the original equation, they will turn positive. Thus, to keep things consistent, we must use the absolute value to make sure that a and b stays negative :)

Answer:

there is  google!

Step-by-step explanation:

The square of a whole number is between 6400 and 7000. The number must be between ?

Answers

Answer:

The number must be between 80 and 83.666002653408

Step-by-step explanation:

The square root of 6400 is 80 and the square root of 7000 is 83.666002653408 so it would be between those numbers.

cos60° = x divided by 16

Answers

Answer:

x = 8

Step-by-step explanation:

cos60° = x/16

1/2 = x/16

2x = 16

x = 16 : 2

x = 8

Answer:

[tex]\Huge \boxed{x=8}[/tex]

Step-by-step explanation:

[tex]\sf \displaystyle cos(60\° ) = \frac{x}{16}[/tex]

Multiplying both sides by 16.

[tex]\sf \displaystyle 16 \cdot cos(60\° )= \frac{x}{16} \cdot 16[/tex]

Simplifying the equation.

[tex]\sf \displaystyle 16 \cdot \frac{1}{2} = x[/tex]

[tex]\sf 8=x[/tex]

ASAP The table shows the number of pounds of green beans that Irma and Jeremiah each picked from their garden. How many total pounds of green beans did they pick?

Answers

Irma- 17 and Jeremiah - 29 in total they both picked 46 pounds of green beans

Irma- 17 and Jeremiah - 29

Which value is larger -17 or -23

Answers

Answer: -17

Step-by-step explanation:

the correct answers would be -17

simplify: (4x)(-x^2)(5x^3)

Answers

Answer:

-20 x^6

Step-by-step explanation:

(4x)(-x^2)(5x^3)

Multiply the numbers

4*-1 *5 = -20

Add the exponents

x^1 * x^2 * x^3

x^(1+2+3)

x^6

Multiply back together

-20 x^6

Answer:

The answer is

[tex] - 20 {x}^{6} [/tex]

Step-by-step explanation:

(4x )( - x²)(5x³)

Expand the terms

That's

-4x³( 5x³)

Next multiply the numbers

That's

- 20( x³)(x³)

Using the rules of indices multiply the x's in the expression

That's

[tex] {a}^{x} \times {a}^{x} = {a}^{y + y} [/tex]

So we have

[tex] {x}^{3} \times {x}^{3} = {x}^{3 + 3} = {x}^{6} [/tex]

We have the final answer as

[tex] - 20 {x}^{6} [/tex]

Hope this helps you

I really need their answers!!!!!!!​

Answers

Answer:

1.c 1875cm squared.

Step-by-step explanation:

if the area of the park is the area if pool 3 times ... which is 625

so 625×3

=1875cm squared

Answer:

B, C, B

Step-by-step explanation:

24

area of A'B'C'D' = 3 × ABCD = 3 × 625 = 1875 m²

Thus area of park = 1875 - 625 = 1250 m² → B

25

A tangent has only one point of contact with the circle. Thus does not pass through the centre.

26

The inscribed angle subtended by a semi- circle is 90° not 180°

square root of 141 '

Answers

Approximately 11.87434

A wheel has a diameter of 70 cm and completes a revolution in 0.25 seconds at top speed
A) determine the angular velocity, w, in radians per second
B) how far does the the wheel in one minute

Answers

Answer:

8π radians/second527.8 meters

Step-by-step explanation:

A) The angular velocity is the ratio of angular distance to time:

  ω = 1 revolution / (0.25 s) = (2π radians)/(0.25 s)

  ω = 8π radians/second

__

B) The arc length is ...

  s = rθ = rωt

  s = (35 cm)(8π rad/s)(60 s) = 16,800π cm

  s ≈ 52779 cm = 527.79 m

The wheel travels about 527.8 meters in one minute.

which line of best fit should not have been drawn. Give a reason for your answer

Answers

Answer:

Diagram B

Step-by-step explanation:

This is because the line only goes through two points and many are dispered from the line, however diagram A and C have points fairly close to them

Visually inspecting the three scatterplots, the line of best fit does not accurately fit the points on the second graph. Hence, line of best fit should not have been drawn for the second graph as the relationship isn't linear.

The line of best fit minimizes the sum of the square of the mean distance between each point. Hence, the distance between the line and the best fit line should be as small as possible.

However, the second graph isn't linear, hence , a linear line cannot model the relationship.

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Explain how you could use the construction tool or a compass and straightedge to create a line segment that is twice as long as A and B

Answers

Step 1) Plot point C that is not on segment ABStep 2) Draw a straight line through point C (convention usually has this line parallel to AB but it doesn't really matter)Step 3) Adjust the compass to be the width of AB. So one end of the compass is at point A, and the other end of the compass is at point B.Step 4) Keeping the same compass width, transfer the compass to the line through point C. Place the nonpencil part at point C. Then draw an arc that intersects the new line.Step 5) The intersection of the arc and line forms point D.

So far, segment CD is the same length as AB. So we can say AB = CD.

Let's keep going

Step 6) Place the nonpencil part of the compass at point D and draw another arc to intersect line CD. Make sure you do not intersect at point C, but rather the point on the other side of D. Call this point E. Step 7) Use a marker or pen to highlight everything from C to E. So you'll highlight segment CE. Erase everything else.

Segment CE is composed of CD and DE, both of which are equal to AB. In other words, AB = CD = DE. Because CD = DE, and the two segments add up to CE, this must mean that CE is twice as long as CD. Therefore, CE is twice as long as AB.

See the diagram below for a visual summary.

Is (x-4)
equivalent to (x – 4)2 ?

Answers

Answer:

No

Step-by-step explanation:

Is [tex](x-4)[/tex] equivalent to [tex](x-4)2[/tex] ?

So let's solve [tex](x-4)[/tex] .

Since there are no like terms, the answer would be

[tex]x-4[/tex]

Let's move on to [tex](x-4)2[/tex]

[tex](x+-4)+(2)[/tex]

Now let's separate.

[tex](x)(2)+(-4)(2)[/tex]

This equals

[tex]2x-8[/tex]

Both answer were not the same so therefore they are not equivalent.

Hope this Helps!

Please help! I have very limited time to answer, but I am really stumped!

Answers

Answer:

A

Step-by-step explanation:

So we have the function:

[tex]f(x)=y=\sqrt[3]{x-2}+8[/tex]

To find the inverse of the function, we can flip x and y and then solve for y. Therefore:

[tex]x=\sqrt[3]{y-2}+8[/tex]

Solve for y to find our inverse.

Subtract 8 from both sides:

[tex]x-8=\sqrt[3]{y-2}[/tex]

Cube each side. The right cancels:

[tex](x-8)^3=y-2[/tex]

Add 2 to both sides:

[tex]y=(x-8)^3+2[/tex]

Therefore, our inverse is:

[tex]f^{-1}(x)=(x-8)^3+2[/tex]

The answer is A

A store is offering a 25% discount on all items.Also, employees get a 10% employee discount. If you are an employee which discount would you want to be applied first to save the most money?

Answers

The 25% discount would save the most money.

For example, say the employee has a purchase total of $12.00.

If a 10% discount was applied, the cost would be $10.80.

However, if a 25% discount was applied, the cost would be $9.00.

Use the following function rule to find f(-3.29).
f(x) = x + 2.58
Write your answer as a decimal or whole number.
f(-3.29) =

Answers

f(-3.29) = (-3.29) + 2.58

f(-3.29) = -0.71

What’s 0.05 divided 8.5

Answers

Answer:

0.00588235294

Step-by-step explanation:

0.00588235294

Answer:

0.00588235294

Step-by-step explanation:

0.00588235294

0.00588235294

0.00588235294

0.00588235294

0.00588235294

0.00588235294

0.00588235294

0.00588235294

what is -3d + 8d - 5d simplified?

Answers

Answer:

0

Step-by-step explanation:

-3d + 8d - 5d

Combine like terms

5d -5d

0

Answer:

[tex]\Huge \boxed{0}[/tex]

Step-by-step explanation:

[tex]-3d + 8d - 5d[/tex]

Combining like terms:

[tex]\Rightarrow 5d- 5d[/tex]

[tex]\Rightarrow 0[/tex]

Given: Line segment PR/ Line segment TR is equal to Line segment QR/ Line segment SR.

Prove: Line segment PQ is parallel to Line segment ST.

Answers

Answer:

i think it will be helpful for you

Sophie opens a new restaurant. The function f ff models the restaurant's net worth (in thousands of dollars) as a function of time (in months) after Sophie opens it.

Answers

Based on the graph given, the point of the graph that corresponds with the shop's net worth when Sophie opened it is -5.

What is the minimum of a quadratic function?

The minimum value of the function is the place where the graph has a vertex at its lowest point. In the real world, you can use the minimum value of the quadratic function to determine the minimum cost and area.

What is the minimum amount?

we use minimum to describe an amount which is the smallest that is possible, allowed, and required.

What was the shop worth when it was opened?

The point of the shop were opened is represented by the value of the y axis when it was first crossed.

Looking at the graph, the line first intercepted the y axis at -5 which means that this was the shop's net worth when it was opened by Sophie.

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1. Select ALL of the sets to which the number belongs. * 5 6 Natural Whole Integer Rational Irrational​

Answers

Answer:

5/6 is:

Rational

Step-by-step explanation:

Natural-All positive integers (5/6 does not apply)

Whole-All positive integers and zero (5/6 does not apply)

Integer- All positive and negative whole numbers and zero (5/6 does not apply)

Rational-All integers, fractions, and non-repeating decimals (5/6 applies)

Irrational-A real numbers that are NOT rational (5/6 does not apply)

What are composite numbers

Answers

Answer:

When a number can be divided up exactly and is not a prime number , it is a Composite Number.

The first few composite numbers are 4, 6, 8, 9, 10, 12, 14, 15, 16,........

Hope it helps.

please any tricks for solving bearings in maths​

Answers

Answer:

A bearing is an angle, measured clockwise from the north direction. Below, the bearing of B from A is 025 degrees (note 3 figures are always given). The bearing of A from B is 205 degrees.

what is the slope of the line?

Answers

Answer:

4/3

Step-by-step explanation:

Slope is rise/run so find two points and find the rise/run. (0,-1) and (4,2) so the slope would be 4/3

The width of a rectangle measures (3.1s-1.6)(3.1s−1.6) centimeters, and its length measures (7.2s-4.6)(7.2s−4.6) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle? A. −6.2+10.3s B. −12.4+20.6s C. 1.5s+2.6 D. 5.2+3s

Answers

Answer:

B.  -12.4 + 20.6s.

Step-by-step explanation:

Perimeter = 2*length + 2 * width

= 2(3.1s - 1.6) + 2(7.2s - 4.6)

= 6.2s + 14.4s - 3.2 - 9.2

= 20.6s - 12.4

= -12.4 + 20.6s.

[tex]\boxed{-12+20.6s}[/tex]

To find the perimeter of a shape, we add length + width + length + width (or length * 2 + width *2). So we would multiply the width, (3.1s - 1.6), and the length, (7.2s - 4.6), by 2, and then add them together to find the perimeter.

2(3.1s - 1.6) + 2(7.2s - 4.6)

This is equal to:

6.2s + 14.4s - 3.2 - 9.2

Simplified, this is equal to:

20.6s - 12.4

(We have to switch it around, but this answer is equal to option b.)

-12.4 + 20.6s

Tip: To simplify an equation, you add like terms. Like terms are numbers that have the same variables or exponents; for example, -4 and 3 are like terms, as well as 5^2 and 8^2. (Keep in mind, the variables and/or exponents have to be the same if you combine the like terms. Numbers with different variables and exponents can never be combined!)

. The Barnaby Corporation issued 2,700,000 shares of stock at its beginning to shareholders.
How many shares must a shareowner own to have a majority of the shares?

Answers

Answer:

1,350,001 shares

Step-by-step explanation:

Barnaby corporation issued 2,700,00 shares of stock to its respective shareholders

A shareholder is required to own more than half of the share of the stock of a corporation inorder to have most of it.

This implies that the shareholder must have 50% + 1 inorder to attain the majority shares

Therefore, the number of shares that must by owned by a shareholder to have majority of the shares can be calculated as follows

= 50/100 × 2,700,000

= 0.5×2,700,000

= 1,350,000+1

= 1,350,001 shares

A golfer recorded the following scores for each of four rounds of golf: 86, 81, 87, 82. The mean of the scores is 84. What is the sum of the squared deviations of the scores from the mean?

Answers

Answer:

26

Step-by-step explanation:

The mean of a set of number is the average the set of number, it is the ratio of the total sum of the terms to the sum of terms.

The standard deviation is the variation of a set of numbers to their mean. A low standard deviation means the value are close to the mean and a high standard deviation means the values are far from the mean. The standard deviation is given as:

[tex]\sigma=\sqrt{\frac{\Sigma (x_i-\mu)^2}{n} }\\ \\\mu=mean,n=number\ of\ terms, \sigma=standard\ deviation[/tex]

Given the numbers:

86, 81, 87, 82. mean = μ = 84

[tex]\Sigma(x_i-\mu)^2=(86-84)^2+(81-84)^2+(87-84)^2+(82-84)^2=4+9+9+4=26[/tex]

Sum of squared deviations = 26

The sum of the squared deviations of the scores from the mean is 26.

-----------------------

The observations are: 86, 81, 87 and 82.The mean of the observations is 84.The sum of the squared deviations of the scores from the mean is the sum of the differences squared of each observation and the mean.

Thus:

[tex]S_{ds} = (86-84)^2 + (81-84)^2 + (87-84)^2 + (82-84)^2 = 4 + 9 + 9 + 4 = 26[/tex]

The sum of the squared deviations of the scores from the mean is 26.

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