Please solve with explanation

The factored form of 3y - 18 using the G.C.F. is 3 * (y - 6).

What is the factor?

Factor is a mathematical expression or a number that divides another expression or number evenly. The factor of an expression is a number that divides the expression evenly, leaving no remainder.

The expression 3y - 18 can be factored using the greatest common factor (G.C.F.) of 3.

The G.C.F. of 3 and 3y is 3.

So, 3y - 18 can be factored as:

3 * (y - 6)

Hence, The factored form of 3y - 18 using the G.C.F. is 3 * (y - 6).

To learn more about factor, Visit

https://brainly.com/question/25722260

#SPJ1

Answer: 171

Step-by-step explanation:

An obtuse angle means more than 90 degrees. (90 degrees would be the inside corner of your notebook paper) a straight line would be 180 degrees. 171 is the closest to 180

Answer: the graphs of the two lines are ||.

Step-by-step explanation: Notice that in this problem, we have

the parent graph y = x and the equation y = x + 4.5.

Notice that both of these equations have the same slope.

When two equations have the same slope and

have different y-intercepts, the lines are ||.

Answer :it related because it is a slope form.

Step-by-step explanation:

Therefore , the solution of the given problem of expression comes out to be  =C3 by using this formula, the spreadsheet is instructed to show the value in column C3.

Mathematical processes like multiplying, dividing, addition, and subtracting are essential. Combining them would result in the following phrase: An equation, some information, and a mathematical function Values, variables, and functions, such as additions, subtractions, multiplications, and divisions, are the building blocks of a statement of truth. Words and sentences can be contrasted and compared.

Here,

Simply type the following formula into the formula bar to show the value of cell 3 in a chosen cell:

=C3

By using this formula, the spreadsheet is instructed to show the value in column C3.

You can change "C3" to the complex number of the cell whose value you want to show.

Make sure the formula is written in the proper cell and that the cell reference is accurate.

The formula would then calculate and display a value from the designated cell in the chosen cell after you hit the Enter key.

To know more about expressions visit :-

brainly.com/question/14083225

#SPJ4

Answer:

Step-by-step explanation:

8x² - 9x - 14  divided by x - 2

Answer: D. The membership increases by 50 members in each of the six warmest months and decreases by 50 members in each of the other six months.

Step-by-step explanation: Because it is a linear function it needs to fluctuate so by using process of elimination D is the only answer that would look like a linear function by having that curved line we are looking for in a function.

Answer: b = 4

Step-by-step explanation:

Given

4b + 5 = 1 + 5b

Subtract 4b on both sides

4b + 5 - 4b = 1 + 5b - 4b

5 = 1 + b

Subtract 1 on both sides

5 - 1 = 1 + b - 1

\(\boxed{b=4}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

36

Step-by-step explanation:

\(-2[-6(-4+7)]\\\\=(-2)(-6)(3)\\\\=12(3)\\\\=36\)

Answer:

Jordan: 60

School: 900

Step-by-step explanation:

3 x 20 = 60

3 x 300 = 900

Tell me if I miss understood something in this question and I'll fix it.

Answer:  3:10

Step-by-step explanation:

Answer:

6:20 or 3/10

Step-by-step explanation:

Answer:

d) 188.64

Step-by-step explanation:

Let's solve the problem,

→ -78.6(-2.4)

→ -78.6 × -2.4

→ 188.64

Thus, option (d) is correct.

Answer:

D. 188.64 is the correct answer!

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

Remember SOHCAHTOA.

Soh... Sine = Opposite / Hypotenuse

...cah... Cosine = Adjacent / Hypotenuse

...toa Tangent = Opposite / Adjacent

In this case, we’ll use CAH.

cos(45) = x/6\(\sqrt{2}\)

x = cos(45) * 6\(\sqrt{2}\)

x = 6

Answer:

x = 6

Step-by-step explanation:

this is a 45-45-90 triangle where the leg to hypotenuse ratio is always 1 : \(\sqrt{2}\)

so if a leg equals two then the hypotenuse is 2\(\sqrt{2}\)

in this case, x = 6\(\sqrt{2}\) ÷ \(\sqrt{2}\) which is 6

Answer:

On the map below, 14 inch represents one mile. Candler, Canton, and Oteen are three cities on the map.

Map_problem_figure_aff1d9be1f7b39bb6155b3bcf9b3ddd4

If the distance between the real towns of Candler and Canton is 9 miles, how far apart are Candler and Canton on the map?

If Candler and Oteen are 312 inches apart on the map, what is the actual distance between Candler and Oteen in miles?

Commentary

The purpose of this task is for students to translate between information provided on a map that is drawn to scale and the distance between two cities represented on the map. This task is a very straightforward application of the mathematics described in 7.G.A.1. This task would be appropriate for assessment.

Solutions

Solution: 1

A distance of nine miles means 9 quarter inches on the map. This is

9×14=94

or 214 inches between Candler and Canton on the map.

Map_problem_a_425ac563f0de413ec7618e8fe79c1b90

How many 14 inches are in 312 inches? To find this, we divide:

312÷14=72×41=14

So it is 14 miles between Chandler and Oteen.

Step-by-step explanation:

The probability of one team winning the coin toss 14 straight times is (1/2)¹⁴ = 1/16,384.

Here is how we arrived at this solution:

From 1998 until 2011, the NFC team won the Super Bowl coin toss 14 years in a row. Because the coin toss is a random event, the probability of any given team winning the coin toss is 1/2. Therefore, the probability of one team winning the coin toss 14 times in a row is (1/2)¹⁴. Let us now simplify the equation (1/2)¹⁴:

1/2 = 0.5, therefore

(1/2)¹⁴ = (0.5)¹⁴ = 0.000061

That is, the probability of one team winning the coin toss 14 straight times is 0.000061 or 1/16,384.

To know more about Probability, refer to:

https://brainly.com/question/32004014

#SPJ11

Area of the composite figure can be find by using additive areas method and subtractive areas method

Composite geometric figures are made from two or more geometric figures. The composite figure below is made from parts of a rectangle and a circle

Since, Area is the quantity that expresses the extent of a region on the plane or on a curved surface.

Area of the composite figure can be find by using two methods,

Additive areas method and Subtractive areas method

In Addictive areas method

Break the composite shape into basic shapes

Find the area of the each basic shapes

Add all the areas of basic shapes together

In Subtractive areas method

Break the composite shape into basic shapes. That shape maybe larger than the composite shapes.

Find the area of the each basic shapes

Area of the composite shape will be the difference between the area of the larger shape.

Hence, the area of  the composite figure can be find by using additive areas method and subtractive areas method

Learn more about Composite figure here;

brainly.com/question/16193772

#SPJ2

The equation in slope-intercept form of the line that passes through the point is y = -2x+4 , Option B is the correct answer.

The equation of a straight line is given by the equation

y= mx+c

Where m is the slope and

c is the intercept on y axis.

The given data is

line passes through the point (3,-2) with slope -2.

m = -2

y = -2x + c

-2 = - 2 * 3 +c

-2 = -6 +c

c = +4

y = -2x+4

Therefore Option B is the correct answer.

To know more about Equation of a straight line

https://brainly.com/question/959487

#SPJ1

Answer:

18 tables: $143

t tables: $35 + $6t

Step-by-step explanation:

35 + 6t

35 + 6(18) = 35 + 108 = 143

The context that represents linear growth is:

A sunflower was growing at a rate of 2.5 inches per week.

A constant rate of change in a quantity over time is referred to as linear growth. The sunflower in this instance is expanding linearly at a pace of 2.5 inches each week, which is constant.

The other contexts listed do not represent linear growth:

To know more about linear growth, visit:

https://brainly.com/question/29270901

#SPJ1

The HAACP principle addressed by cooking the duck breast to 165 degrees F is a 'critical limit'.

What is the critical limit?

A critical limit is a value to which a biological, chemical or physical factor must be controlled to prevent food safety hazards. These are the conditions under which potential hazards can be controlled, reduced, or eliminated. They are monitored by observation or measurement, such as measuring the temperature of food storage to avoid spoilage.

Critical limits are based on factors such as:

Temperature, Humidity, Moisture level, pH, Water activity (Aw), Time, Salt concentration, and Preservatives.

Production processes that fail to stay within the bounds of the critical limits must be stopped or the products must be discarded.

Hence the answer is critical limit.

Read more about critical limit at

https://brainly.com/question/27982871

#SPJ4

Answer:

x=-12

Step-by-step explanation:

\(\frac{x}{h}+1=-2\\ \frac{x}{4}=-2-1\\ \frac{x}{4}=-3\\ x=4*-3=-12\)

There are 55 adults and 27 younglings attended the club.

let the number of adults attended the club be x

let the number of younglings  attended the club be y

total people attended the club = 82

so,

x + y = 82.....[1]

cost for the adult = $6

cost for the younglings = $4

so total amount collected = $438

so, equation formed is ,

6x + 4y = 438.......[2]

from equation [1]

x + y = 82

x = 82 - y

put this in equation [2]

6(82 - y) + 4y = 438

492 - 6y + 4y = 438

492 - 2y = 438

492 - 438 = 2y

2y = 54

y = 27

put this value in equation [1]

x + y = 82

x + 27 = 82

x = 82 - 27

x = 55

so, there are 55 adults and 27 younglings attended the club.

Learn more about equation here :-

https://brainly.com/question/10413253

#SPJ4

Answer:

Total sales to be made = $13108.57

Step-by-step explanation:

Given that:

Monthly salary = $1959

Commission = 6.3%

Monthly pay to be earned = $2784.84

Commission amount = 2784.84 - 1959 = $825.84

Let,

x be the amount of sales

6.3% of x = 825.84

\(\frac{6.3}{100}x=825.84\\0.063x=825.84\)

Dividing both sides by 0.063

\(\frac{0.063x}{0.063}=\frac{825.84}{0.063}\\x=13108.57\)

Hence,

Total sales to be made = $13108.57

Answer:

the answer is 130 because why not

Answer:

The answer is 7.33 m

Step-by-step explanation:

Answer: It is false, the diameter is not 16 m.

Step-by-step explanation:

P 4m are 8 m are 32 m away. The diameter= 32 m.

(I hope its rights!!!)

Answer:

102

Step-by-step explanation:

Answer:

m∠WZX = 41°

Step-by-step explanation:

diagonals bisect angles and opposite angles are congruent

therefore, ∠WXY ≅ ∠WZY

∠WZY must equal [360 - 2(68)] ÷ 2 which equals 112°

If ∠WXZ = 71° then so does ∠XZY

Which means that ∠WZX must equal 112-71 which is 41°

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

Explanation:

Refer to the diagram below. I've marked up the figure with various angles to point out the angles we'll be working with.

To make things a bit simpler in terms of notation, and to match up colors with variable letters, I'm going to use the following

Notice how the two red angles I've marked up are alternate interior angles. This works because WX is parallel to ZY. Also notice that the red and blue angles combine to form the angle WZY, which is adjacent to angle XYZ in green.

For any parallelogram, the adjacent angles always add to 180.

(angle WZY) + (angle XYZ) = 180

(blueAngle+redAngle) + (greenAngle) = 180

(B+R) + (G) = 180

(B+71) + (68) = 180

B+139 = 180

B = 180-139

B = 41

The blue angle is 41 degrees, which means angle WZX is 41 degrees

Side note: Your steps and answer to problem 11 are correct. Nice work.

Answer:

Step-by-step explanation:

300

The price of the Motorcycle, not including the tax, is $11,500

The price of the motorcycle before the tax, we need to subtract the tax amount from the total price, including the tax. Let's denote the price of the motorcycle before tax as P.

Given:

Tax rate = 12.5%

Tax amount = $1437.50

We know that the tax amount is equal to 12.5% of the price of the motorcycle:

Tax amount = 0.125 * P

We can set up the equation and solve for P:

0.125 * P = $1437.50

To isolate P, divide both sides of the equation by 0.125:

P = $1437.50 / 0.125

Performing the calculation:

P = $11,500

Therefore, the price of the motorcycle, not including the tax, is $11,500.

Tax amount = 0.125 * $11,500 = $1437.50

The tax amount matches the given information, confirming that the price of the motorcycle before tax is indeed $11,500.

To know more about Motorcycle.

https://brainly.com/question/29915026

#SPJ11

To find the point P on the line y=3x that is closest to the point (50,0), we need to use the formula for the distance between a point and a line. This formula is:

distance = |Ax + By + C| / sqrt(A^2 + B^2)

Where A, B, and C are the coefficients of the equation of the line in the form Ax + By + C = 0.

In this case, the equation of the line y=3x can be written as -3x + y = 0. So we have:

A = -3, B = 1, C = 0

Now we can plug in the values of (50,0) and solve for x and y to find the point P that is closest to it:

distance = |-3x + y| / sqrt((-3)^2 + 1^2)
distance = |-3x| / sqrt(10)

To minimize the distance, we need to minimize |-3x|. This occurs when x = 0. So the point P that is closest to (50,0) is the point (0,0).
To find the point P on the line y = 3x that is closest to the point (50, 0), we need to minimize the distance between P and (50, 0).

Let P(x, y) be a point on the line y = 3x. The distance between P and (50, 0) is given by the distance formula:

D = sqrt((x - 50)^2 + (y - 0)^2)

Since y = 3x, we can rewrite the distance formula as:

D = sqrt((x - 50)^2 + (3x)^2)

To minimize the distance, we can minimize the square of the distance (D^2), as it avoids dealing with the square root:

D^2 = (x - 50)^2 + (3x)^2

Now, we can find the derivative of D^2 with respect to x and set it to 0 to find the critical points:

d(D^2)/dx = 2(x - 50) + 2(3x)^2 * 6x = 0

Solve this equation to find the x-coordinate of the point P. Then, use y = 3x to find the corresponding y-coordinate. Finally, you'll have the coordinates of the point P that is closest to (50, 0).

Visit here to learn more about  derivative : https://brainly.com/question/25324584
#SPJ11