3(2x + 5) + 4 = 7
what the answer to c

To determine the number of gallons of paint needed to cover office 143, we need to know the square footage of the office.

Once we have that information, we can divide the square footage by the coverage rate per gallon to calculate the required amount of paint.

Let's assume the square footage of office 143 is 800 square feet.

Number of gallons needed = Square footage / Coverage rate per gallon

Number of gallons needed = 800 square feet / 50 square feet per gallon

Number of gallons needed = 16 gallons

Therefore, you would need approximately 16 gallons of paint to cover office 143, assuming each gallon covers 50 square feet.

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Answer:

9x+4

Step-by-step explanation:

remove the parentheses

Answers:

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

Explanation:

x = amount of money Sarah has

x+15 = amount of money Sam has, since he has $15 more than her

2(x+15) = amount of money Casey has, since he has twice as much as Sam.

Let's add up those three expressions and set that sum equal to 95

Solve for x.

Sarah + Sam + Casey = 95

x+(x+15) + 2(x+15) = 95

x + x + 15 + 2x + 30 = 95

4x+45 = 95

4x = 95-45

4x = 50

x = 50/4

x = 12.50

This says that Sarah has $12.50

That must mean Sam has x+15 = 12.50+15 = 27.50 dollars

And Casey must have 2*27.50 = 55 dollars.

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

As a check,

Sarah+Sam+Casey = 12.50+27.50+55 = 95

So the answer is confirmed.

Answer:

Step-by-step explanation:

Let Sarah have x dollars.

Then Sam has x + 15

Casey had 2(x + 15)

x + x + 15 + 2(x + 15) = 95               Remove the brackets.

2x + 15 + 2x + 30 = 95                    Collect like terms

4x + 45 = 95                                   Subtract 45 from both sides.

4x = 95 - 45

4x = 50                                           Divide by 4

x = 50/4

x = 12.5

Sarah has                          12.50

Sam has    16.67 + 16 =     27.50

Casey has                         55.00

Total                                    95

Given that the total number of shares is 1000 at P30 per value. The total amount of all the shares is

If the company declared 1.5% percentage, the dividend would be

Hence, the value of the dividend is P450

Answer:

201

Step-by-step explanation:

C = 2pi.R

50.24/2pi = R

R= 8

area = pi R² = pi x 8² = 201

0.688 will be the probability of getting a nickel from the jar.

Given,

Probability;-

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Here,

The number of fortunate situations divided by the total number of coins would be the product between the probability of each occurrence and the likelihood of each event.

Therefore,

P(nickel) = 19/69

P(penny) = 17/68

That is,

P = 19/69 × 17/68

P = 323/4692

P = 0.0688

That is,

The probability of getting nickel from the jar is 0.06888

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The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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Answer:

79m

Step-by-step explanation:

P=276

L= P/2 - W

L= 276/2 - 59 m

L = 79m

The value of x in the right triangle is 50.66 units.

The value of x in the right triangle is calculated as follows;

Apply trignometry ratio;

SOH CAH TOA

SOH = sin θ = opposite /hypothenuse side

TOA = tan θ = opposite side / adjacent side

CAH = cos θ = adjacent side / hypothenuse side

x is the hypothenuse side of the right triangle while 23 is the adjacent side,

cos 63 = 23/x

x = 23/cos 63

x = 50.66 units

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Answer: x > 38

Step-by-step explanation:

Answer:

w = .03v + 925

Step-by-step explanation:

3% as a decimal is .03.

He gets a flat 925 + 3% of value of the ads.

The calculated value of the expression x² + y² + 8 is 12 - 2xy

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

x + y + 2 = 0

This can be expressed as

x + y = -2

Using the sum of two squares, we have

x² + y² = (x + y)² - 2xy

So, we have

x² + y² = (-2)² - 2xy

Evaluate

x² + y² = 4 - 2xy

Add 8 to both sides

x² + y² + 8 = 12 - 2xy

Hence, the value of the expression x² + y² + 8 is 12 - 2xy

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d2y/dx2 = (7/x^3 - 7/y^2)

To find d2y/dx2 in terms of x and y, we need to take the second derivative of y with respect to x. We can start by differentiating the given equation with respect to x:

2xy^2 + 2x^2y(dy/dx) - 14 = 0

Simplifying this equation by dividing both sides by 2x^2y, we get:

y(dy/dx) + x(d2y/dx2) - 7/x^2 = 0

Now, we can solve for d2y/dx2 by isolating the term on the left side of the equation:

d2y/dx2 = (7/x^2 - y(dy/dx))/x

Substituting the given equation x2y2 − 14x = 5, we can express dy/dx in terms of x and y:

2xy(dy/dx) - 14 = 0

dy/dx = 7/xy

Substituting this into the expression for d2y/dx2, we get:

d2y/dx2 = (7/x^2 - y(7/xy))/x

Simplifying this expression, we get:

d2y/dx2 = (7/x^3 - 7/y^2)

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The first and third expressions simplify to 0.

Simplification is to make something easier to do or understand and to make something less complicated.

Given

1.  8g, and  -8g

2.  -2g, and   -2g

3.  5g, and   -5g

4.  \(\rm \dfrac{1}{2}g* \dfrac{1}{2}g, and\ \ - \dfrac{2}{3}g* \dfrac{2}{3} g\)

The expressions simplify to 0.

1.  8g, and  -8g on adding it will be

   8g-8g = 0

2.  -2g, and  -2g on adding it will be

   -2g-2g = -4g

3.  5g, and  -5g on adding it will be

    5g-5g = 0

4.  \(\rm \dfrac{1}{2}g* \dfrac{1}{2}g, and\ \ - \dfrac{2}{3}g* \dfrac{2}{3} g\), on adding it will be    

     \(\rm \dfrac{1}{2}g* \dfrac{1}{2}g, - \dfrac{2}{3}g * \dfrac{2}{3} g \\\\\dfrac{1}{4}g^{2} - \dfrac{4}{9} g^{2} \\\\-\dfrac{7}{36} g^{2}\)

Thus First and third expressions simplify to 0.

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Answer:

answer in picture

Step-by-step explanation:

Answer:

6,3

Step-by-step explanation:

The simplified expression (-3 + 2³)(4 + (-42/7)) is equal to -10. The expression evaluates to -10 when the given values are substituted and the operations are performed.

To simplify the expression (-3 + 2³)(4 + (-42/7)), we can start by simplifying the values within the parentheses separately and then multiplying the results.

First, let's simplify the value inside the first set of parentheses, (-3 + 2³):

-3 + 2³ = -3 + 8 = 5

Now, let's simplify the value inside the second set of parentheses, (4 + (-42/7)):

4 + (-42/7) = 4 - 6 = -2

Now, we have the simplified values for both sets of parentheses: 5 and -2.

Next, we can multiply these two values together:

5 * (-2) = -10

Therefore, the simplified expression (-3 + 2³)(4 + (-42/7)) is equal to -10.

In summary, (-3 + 2³)(4 + (-42/7)) simplifies to -10. This means that the expression evaluates to -10 when the given values are substituted and the operations are performed.

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The probability P(X=2, Y+Z ≤ 3) is 13. Random variables are variables in probability theory that represent the outcomes of a random experiment or event.

To find the probability P(X=2, Y+Z ≤ 3), we need to sum up the joint probabilities of all possible combinations of X=2, Y, and Z that satisfy the condition Y+Z ≤ 3.

Step 1: List all the possible combinations of X=2, Y, and Z that satisfy Y+Z ≤ 3:

X=2, Y=1, Z=1

X=2, Y=1, Z=2

X=2, Y=2, Z=1

Step 2: Calculate the joint probability for each combination:

For X=2, Y=1, Z=1:

f(2, 1, 1) = (2+1) * 1 = 3

For X=2, Y=1, Z=2:

f(2, 1, 2) = (2+1) * 2 = 6

For X=2, Y=2, Z=1:

f(2, 2, 1) = (2+2) * 1 = 4

Step 3: Sum up the joint probabilities:

P(X=2, Y+Z ≤ 3) = f(2, 1, 1) + f(2, 1, 2) + f(2, 2, 1) = 3 + 6 + 4 = 13

They assign numerical values to the possible outcomes of an experiment, allowing us to analyze and quantify the probabilities associated with different outcomes.

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Answer:

slope: 1/2, y-intercept: (0, 13/2), y: 6 and 7

slope: -2, y-intercept: (0,15), y: 9 and 5

Step-by-step explanation:

Thus, the limit as x approaches infinity of \((2x^4 - x^2 - 8x)\) is positive infinity (∞).

To find the limit as x approaches infinity of the expression \((2x^4 - x^2 - 8x)\), we examine the highest power of x in the expression.

As x becomes very large (approaching infinity), the terms with lower powers of x become relatively insignificant compared to the term with the highest power.

In this case, the highest power of x is \(x^4.\) As x approaches infinity, the term \(2x^4\) dominates the expression, and the other terms become negligible.

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Answer:

Step-by-step explanation:

L = 2×π×r

9π cm = 2πr

9 cm = 2r

r = 4.5 cm

Answer:

It would be D

Step-by-step explanation:

Answer:

y = -3/2x + 3

Step-by-step explanation:

y = 3/2x + 3

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

If you need it in decimal form ~

y = 1.5x + 3

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

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Answer:

  769.5 yd²

Step-by-step explanation:

You want the surface area of a figure consisting of two back-to-back cones with diameter 16 yd. One has height 19 yd, and the other has slant height 10 yd.

The surface area depends on the slant height. For the cone with only its height given, we can find the slant height using the Pythagorean theorem.

  r² +h² = s²

  s = √(r² +h²) = √(8² +19²) = √425

  s = 5√17

The area of the figure will be the sum of the areas of the two cones:

  A = πr(s1 +s2) = π(8 yd)(10 yd +5√17 yd) ≈ 769.452 yd²

The surface area of the figure is about 769.5 square yards.

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The total surface area of both cones is: 769.56 yd²

The formula for the surface area of a three dimensional object which is a cone is given by the formula:

S.A = πrl + πr²

where:

l is slant height

r is radius

In this case, the base is not part of the surface area and so we will use the formula:

L.S.A = πrl

The slant length for the right cone is gotten from pythagoras theorem as:

l = √(19² + 8²)

l = 20.62 yd

Thus:

T.S.A of both cones = π * 8(10 + 20.62)

T.S.A = 769.56 yd²

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Answer: $101.25

Step-by-step explanation:

Since we are given the information that one metre of ribbon costs $0.45 and that Tabitha buys 225 metres of ribbon, the amount that she will have to pay will be gotten by multiplying the cost of one meter of ribbon by the total meters that she bought. This will be:

= $0.45 × 225

= $101.25

Therefore, the cost is $101.25

I already answered this question to this student today. Student unresponsive.

Answer:

y = 8

x = -2

Step-by-step explanation:

(If you are cancelling the y form the equation to find x first then subtract the equation as the signs are the same or else if you are cancelling the x first then add the equations as the signs are different)

y-12x=12 l cancelled the x from the equation to

y+2x=4 find y

+ + +

_____

2y = 16

y= 16/2

y=8

8 in eqn no 1

y-2x=12 replace the y with 8 and find x

8-2x=12

8-12=2x

-4=2x

-4/2=x

-2=x

Answer:

No

Step-by-step explanation:

2+4 > 4

2+2 is not > 4

Answer:

Yes

Step-by-step explanation:

4 times 932073 equals 3728292

Answer:

yes

Step-by-step explanation:

3,728,292 / 4 = 932,073

92 is divisible by 4.

92 / 4 = 23

To determine the maximum number of 2/0 AWG THW aluminum compact conductors permitted in a 2½-inch PVC conduit, Schedule 80, we need to consult the applicable electrical code or standards.

The number of conductors allowed in a conduit is typically governed by factors such as fill capacity and heat dissipation.

The specific requirements may vary depending on the jurisdiction and the electrical code being followed. It is recommended to consult the local electrical code or a qualified electrician to ensure compliance with the regulations in your area.

They will be able to provide the precise guidelines and restrictions for conductor fill capacity based on the conduit size, type, and the specific application.

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