Point: (-3, 7); Slope: 4

Answer:

16 team members.

Step-by-step explanation:

To find 80% of 20, multiply 20 by 0.8.

20 × 0.8 = 16.

Answer:   $5.64

Step-by-step explanation:

Let x represent 1 box of batteries

Let y represent 1 case of batteries

Given: 14x = 3y

Given: 158 = 14x + 3y

Use substitution: 158 = 14x + 14x

Simplify:                158 = 28x

Divide by 28:        5.64 = x

X< or equal to 8 because x is less than 8 or equal to 8 and x is any number that could be 8 or any number that is less.

Answer:

14.7 trees

Step-by-step explanation:

First you need to find how many trees she cuts down to build one cabin. So you divide:

10.5/5=2.1

She cuts down 2.1 trees to make one cabin.

Next you multiply:

2.1*7=14.7

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

• The coefficient of the x² term must be 1

y = 2(x² - 9x) + 8

• add/subtract (half the coefficient of the x- term)² to x² - 9x

y = 2(x² + 2 (- [tex]\frac{9}{2}[/tex]) x + (- [tex]\frac{9}{2}[/tex])² - (- [tex]\frac{9}{2}[/tex])²) + 8

y = 2(x - [tex]\frac{9}{2}[/tex])² - 2([tex]\frac{81}{4}[/tex] + 8

  = 2(x - [tex]\frac{9}{2}[/tex])² - [tex]\frac{65}{2}[/tex] ← in vertex form

To identify the cup that is not within the specified tolerance, calculate the upper and lower limits of the tolerance and compare them to the actual diameter of each cup in the sample. The fourth cup with a diameter of 5.5in is not within the specified tolerance.

In this question, we are given the tolerance for the diameter of the cup's mouth, which is 5in ± 8%. We have a sample of cups with their diameters listed in a table. To identify the cup that is not within the specified tolerance, we need to calculate the upper and lower limits of the tolerance and compare them to the actual diameter of each cup in the sample.

To calculate the upper limit, we add 8% of 5in to the nominal value of 5in. This gives us 5in + 0.08 * 5in = 5in + 0.4in = 5.4in. To calculate the lower limit, we subtract 8% of 5in from the nominal value of 5in. This gives us 5in - 0.08 * 5in = 5in - 0.4in = 4.6in. Now, we compare the actual diameters of the cups in the sample to these upper and lower limits to determine which cup is not within the specified tolerance.

Looking at the table of cup diameters, we can see that the fourth cup has a diameter of 5.5in, which is greater than the upper limit of 5.4in. Therefore, the fourth cup is not within the specified tolerance.

the odd number after 14 is 15

Answer:

The odd number after 14 is 16

A circle is a curve sketched out by a point moving in a plane. The area of sector BEC when CE = 9 yd is 84.823 yds².

The sector of a circle is like a slice of a circular pizza. Its two straight edge's having an angle, and the edge's length(the radius of the circle) are two needed factors for finding the area of that sector.

Since the whole circle with radius 'r' units have 360 degrees angle on the centre of the circle, and its area is

πr² unit², thus, as the angle lessens, this area gets lessened.

360 degree => πr² unit²

[tex]\rm area\ 1 degree = \pi r^2 \: \rm unit^2/360 area\\\\x\ degree = \dfrac{x \times \pi r^2}{360} \: \rm unit^2 area[/tex]

Thus, the area of a sector with edge length 'r' units and interior angle 'x' degrees is given as:

Given the length of the radius of the circle, CE is 9 yds. Also, the measure of the ∠BEC at the centre of the circle is 120°. Therefore, the area of sector BEC can be written as,

Area BEC = π × r² × (θ/360°)

                 = π × 9² × (120° / 360°)

                 = 84.823 yds²

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19 percent of the people polled who preferred burgers were teachers.

Answer:

Option A is correct.

Step-by-step explanation:

According to results shown, we can say that option A is true.

In the burger column in above segment, we see that total number of students are 17 and total teachers are 4. Making it a total of 21.

So, [tex]\frac{4}{21}*100=19.04[/tex] ≈ 19% are teachers.

So, 19% of the polled people who preferred burgers were teachers.

Option B cannot be true as all the teachers were polled. Out of all 19% preferred burgers.

Option C is also not true because 19% was not from all the population. It was only from the teachers.

So, only option A is correct.

Answer:

Step-by-step explanation:

The equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have the equation:

[tex]x^2+(y-4)^2=25\\\\(x-0)^2+(y-4)^2=5^2[/tex]

h = 0, k = 4, r = 5

Answer:

2 workers will take 12 hours to dig six holes

Two workers take 12 hours to dig 6 holes.

The method in which first we find the value of one unit and then the value of the required number of units is known as the Unitary Method.

Let t be the time taken by the two workers to dig a six hole.

According to the given question.

4 workers take 4 hours to dig 4 holes.

So, the number of hours taken by the one workers to dig a one hole is given by

Number of hour taken by a single worker to dig 1 hole = [tex]\frac{4 \times 4}{4}[/tex] = 4hours

Therefore,

The time taken by 2 workers to dig 6 holes is given by

[tex]\frac{4\times 4}{4} = \frac{2\times t }{6} \\\implies 4 \times 6 = 2\times t\\\implies 24= 2\times t\\\implies t = \frac{24}{2} \\\implies t = 12 hours[/tex]

Hence, two workers take 12 hours to dig 6 holes.

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the second even number is 2n + 2

2n (2n+2)

4n^2 + 4n

[tex]4 {n}^{2} + 4n[/tex]

Answer:

5.3x - 4 .

Step-by-step explanation:

(6.7x -3) - (3.4x - 1) + (2x - 2)

1. using the commutative property:

= 6.7x - 3 +  2x - 2 - (3.4x - 1)      (we can remove the parentheses around the first 2 groups because they are added).

2. Using the distributive property on the last group:

= 6.7x - 3 + 2x - 2 - 3.4x + 1   (distributing the negative over the parentheses).

3. Now adding like terms we get:

5.3x - 4 (answer).

Answer:

25

Step-by-step explanation:

To solve 100 x 0.25, multiply 100 by 0.25 directly, which is the same as dividing 100 by 4. The solution is simply 25.

To solve the problem of 100 x 0.25, you can think of it as finding a quarter of 100. Since 0.25 is the decimal equivalent of 1/4, when you multiply 100 by 0.25, you are essentially dividing 100 by 4. The steps to solve this are simple:

Write the multiplication: 100 x 0.25.

Perform the multiplication: 100 x 0.25 = 25.

No proportions or conversions are necessary for this calculation; it is a straightforward multiplication problem. The answer to 100 x 0.25 is 25.

The probable question may be:

How to solve 100x0.25?

Answer:

1 box = 212

1 ball = 16

I think the answer is C

The elimination method may not be applied directly to solve systems involving nonlinear, transcendental, or linearly dependent equations, demanding more complex techniques for solutions.

A system of equations cannot be directly solved by applying the elimination method if the system involves equations that are not linear or if the equations are dependent in such a way that one cannot eliminate variables easily.

For instance, in the case of two simultaneous transcendental equations, it may be impossible to solve the system through algebraic means using elimination.

In such scenarios, iterative methods like an extension of the Newton-Raphson technique might be necessary. Moreover, dealing with systems of differential equations also requires different approaches, such as the use of matrices or integrating factors when the equations are linearly dependent.

The expanded form is 26,000 + 500 + 90 + 1

Expanded form of any digit is to divide that number into its units, tens, hundreds, thousands and so on.

Since we are given with 26591

So

The expanded form will be

26,000 + 500 + 90 + 1

Answer:

y= -2/3x-3, (Word Form: Y equals negative 2 over 3x minus 3.)

Step-by-step explanation:

The formula for slope-intercept form is y=mx+b. m=Slope. b=y-intercept. Therefore the equation would be y= -2/3x-3

Answer:

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

Step-by-step explanation:

Hello

I think I can help you with this

if you a have  the slope and a point of the line , it is possible to find the equation using:

[tex]y-y_{1}=m(x-x_{1} )[/tex]

where, m is the slope, (x1,y1) are the coordinates of the known point

Step 1

Let

[tex]P1(9,-3)\\slope=-\frac{2}{3}[/tex]

replacing

[tex]y-(-3)=-\frac{2}{3}(x-9 )\\y+3=-\frac{2x}{3}+\frac{18}{3}\\isolating\ y \\y=-\frac{2x}{3}+6-3\\y=-\frac{2x}{3}+3\\[/tex]

Have a good day.

Answer:

[tex]x=2[/tex], [tex]y=0[/tex], or as an ordered pair [tex](x,y)=(2,0)[/tex].

Step-by-step explanation:

We have the system of equations

[tex]5x + 2y = 10[/tex] equation (1)

[tex]3x + 2y = 6[/tex] equation (2)

Since both equations have the term [tex]2y[/tex], we are using the elimination method:

Step 1. Multiply equation (2) by -1 and add the result equation to equation (1):

[tex]\left \{ {{-1(3x + 2y = 6)} \atop +{5x + 2y = 10}} \right.[/tex]

[tex]\left \{ {{-3x -2y = -6)} \atop +{5x + 2y = 10}} \right.[/tex]

Now we can get rid of [tex]-2y[/tex]

[tex]2x=4[/tex]

[tex]x=\frac{4}{2}[/tex]

[tex]x=2[/tex]

Step 2. Replace the value [tex]x=2[/tex] in equation (1) to find the value of [tex]y[/tex]:

[tex]5x + 2y = 10[/tex]

[tex]5(2) + 2y = 10[/tex]

[tex]10 + 2y = 10[/tex]

[tex]2y = 0[/tex]

[tex]y = 0[/tex]

We can conclude that the solution of the system of equations is [tex]x=2[/tex], [tex]y=0[/tex], or as an ordered pair [tex](x,y)=(2,0)[/tex].

The answer to this question is A

a is the best option

Answer:

Step-by-step explanation:

If the radius of a circle is doubled, the area of the circle will be quadrupled and the circumference will also be doubled. This makes sense because the area of a circle is directly proportional to the square of the radius of the circle (if the radius of a circle is increased x times, its area will be increased to x^2 times the original area), whereas the circumference is proportional to the size of the radius (if the radius of a circle is increased x times, its circumference will increase x times).

Answer:

1,260 mg of copper.

Step-by-step explanation:

This is because in a 3 to 1 ratio, the first number has to be 3 times the second number which is just multiplied by one. since zinc is the second number, it stays the same but the copper as to be 3 times the amount of zinc so 420 mg times 3 which equals 1,260.

Answer:140

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

divide the numerator (top number) by the denominator (bottom number) 3/8= 0.375

Answer:

c

Step-by-step explanation:

Answer: 54 times 9 =486 pounds Monica recycled

Step-by-step explanation:

Answer:

Let x be the number of pounds of paper Monica recycled.

Since, it is given that, Cindy recycles 9 times as many pounds of paper Monica recycles.

Thus, the  number of pounds of paper Cindy recycled = 9x,

According to the question,

9x = 54

Which is required the equation to find the number of pounds of paper Monica recycled.

Now, divide both sides of the above equation by 9,

We will get,

x = 6

Therefore, Monica recycled 6 pounds of paper.

[tex]3 {x}^{2} + 7x + 2 \\ = 3 {x}^{2} + 6x + x + 2 \\ = 3x(x + 2) + 1(x + 2) \\ = (3x + 1)(x + 2)[/tex]

Work is attached in the image provided.

For your second pair of binomials, (3x + 1)(x + 2), the product of the outer terms is 6x and the product of the inner terms is 1x and 6x + 1x = 7x which is the middle term in you're original trinomial.

So the second pair of binomials represents your answer.

[tex]\bf \textit{difference of squares} \\\\ (a-b)(a+b) = a^2-b^2 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (a-5)^2(5+a)^2\implies (a-5)^2(a+5)^2\implies [(a-5)(a+5)]^2\implies \stackrel{\stackrel{\textit{difference}}{\textit{of squares}}}{[a^2-5^2]^2} \\[2em] [a^2-25]^2\implies (a^2-25)(a^2-25)\implies \stackrel{\mathbb{F~O~I~L}}{a^4-50a^2+25^2}\implies a^4-50a^2+625[/tex]

Leisure activities can be categorized as either active or passive and include a variety of pursuits from bowling, hunting, and team sports to reading, computer games, and television viewing. Technological advancements have led to an increase in sedentary leisure activities such as web surfing.

Leisure activities encompass a range of pursuits that individuals engage in during their free time for enjoyment, relaxation, and entertainment.

In contemporary society, leisure activities have evolved to include both active and passive forms.

Examples of active leisure activities that were popular in the past include sports such as bowling, hunting, fishing, boating, and golf, as well as attendance at team sports like baseball, basketball, and football.

These activities usually involve physical exertion and outdoor participation.

On the other hand, sedentary or passive leisure activities have grown in prevalence with advancements in technology, including computer games, web surfing, and television viewing.

Furthermore, cultural activities such as reading books and magazines, enjoying music, dancing, and art have remained significant leisure pursuits.

Examples of recreational goods and services include televisions, cable television, pets and pet products, sports equipment, and admissions to events or locations relating to these activities.

Answer:

-4×5+3=,lost 20 pounds and gained 3 pounds

Step-by-step explanation:

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷The answer is True.

You can eyeball the triangle or also get a protractor and also see that this is a right triangle. Remember, right triangles have a right angle.

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

DOGE

Answer:

ΔFGH is right triangle

Step-by-step explanation:

Given a triangle with dimensions 10, 7, [tex]\sqrt{51}[/tex]

we have to find FGH is right triangle or not.

[tex]Hypotenuse=10 units[/tex]

[tex]Base=7 units[/tex]

[tex]Height=\sqrt{51}[/tex]

If ΔFGH is right triangle, then by Pythagoras theorem

[tex](Hypotenuse)^2=(base)^2+(height)^2\text{ must be satisfied}[/tex]

[tex]FG^2=GH^2+FH^2[/tex]

[tex]10^2=(\sqrt{51})^2+7^2[/tex]

[tex]100=51+49[/tex]

[tex]100=100[/tex]

which is true

Hence, ΔFGH is right triangle

The answer is True

Answer:

The answer is 6.209

You could put it into a calculator and get 6.209 but what's the fun in that

I'll attach how to subtract manually