A hardware store sells light bulbs in different quantities. the graph shows the cost of various quantities. according to the graph, what is the cost of a single lightbulb?

A Hardware Store Sells Light Bulbs In Different Quantities. The Graph Shows The Cost Of Various Quantities.

Answers

Answer 1

Looking at the two black dots

5 bulbs cost $9

Divide total cost by number of bulbs bought:

9 / 5 = $1.80 per bulb.

10 bulbs cost $18

Divide total cost by number of bulbs bought:

18 / 10 = $1.80 per bulb

The cost for one bulb is $1.80


Related Questions

Please help me ......:(

Answers

Answer:  B) F(x) = √x and G(x) = 3x + 2

Step-by-step explanation:

The composite function G(F(x)) is when you replace every x-value in the G(x) function with the F(x) function.

[tex]A)\ G(3x+2) = \sqrt{3x+2}\\\\B)\ G(\sqrt{x})=3(\sqrt{x})+2\quad =3\sqrt{x}+2\\\\C)\ G(\sqrt{x}+2) = 3\quad \text{there are no x-values in the G(x) function to replace}\\\\D) G(3\sqrt{x})=2\quad \text{there are no x-values in the G(x) function to replace}[/tex]

The only one that matches G(F(x)) = 3√x + 2 is OPTION B

3x+1÷9=2×-3÷8 solve the equation

Answers

Answer:

x = -35/72

Step-by-step explanation:

3x + 1/9 = 2x - 3/8

x = -3/8 - 1/9

x = -35/72

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
For the right triangle shown, the lengths of two sides are given. Find the third side. Leave your answer in simplified, radical form.

a = 5, b = 10, c =

Answers

Answer:

5 sqrt(5) =c

Step-by-step explanation:

We can use the Pythagorean theorem to find the length of the hypotenuse

a^2 + b^2 = c^2 since this is a right triangle

5^2 + 10^2 = c^2

25+100 = c^2

125 = c^2

Take the square root of each side

sqrt(125) = sqrt(c^2)

sqrt(25*5) = c

sqrt(25) sqrt(5) = c

5 sqrt(5) =c

Alright, in a right-angled triangle, the lengths of the three sides are related by the Pythagorean Theorem, which states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
This can be written as:
c² = a² + b²
In the question you provided, you've given that side a is 5 and side b is 10, and you'd like to find side c, the hypotenuse.
Following the Pythagorean Theorem :
c² = a² + b² = 5² + 10² = 25 + 100 = 125
Now we need to find the length of side c by taking the square root of c²:
c = √125
This can be further simplified by recognizing that 125 is equal to 25 * 5, and the square root of 25 is 5.
c = √(25 * 5) = √25 * √5 = 5√5
Therefore, the length of side c in its simplified radical form is:
c = 5√5
That would be the value of the hypotenuse of the right triangle with side lengths 5 and 10.

x2 - 15x + 56

factor​

Answers

Answer:

(x - 7)(x - 8)

Step-by-step explanation:

To factorise the quadratic

Consider the factors of the constant term (+ 56) which sum to give the coefficient of the x- term (- 15)

The factors are - 7 and - 8, since

- 7 × - 8 = + 56 and - 7 - 8 = - 15, hence

x² - 15x + 56 = (x - 7)(x - 8)

What value of x is in the solution set of 9(2x + 1) < 9x – 18?

–4
–3
–2
–1

Answers

Answer:

-4

Step-by-step explanation:

[tex]9(2x+1)<9x-18\qquad\text{divide both sides by 9}\\\\2x+1<x-2\qquad\text{subtract 1 from both sides}\\\\2x<x-3\qquad\text{subtract}\ x\ \text{from both sides}\\\\x<-3\\\\-4<-3[/tex]

Pamela has a 30-year, 5.75% mortgage on her $250,000 home. She has been
paying on it for 5 years, and has recently hit some financial trouble. If her
lender agreed to lower the interest rate on her $231,905.47 balance to 5.5%,
what will her new payment be for the remainder of the loan?

Answers

Answer:

$1424.10

Step-by-step explanation:

APEX is obnoxious, I understand.

Answer:1424.10

Step-by-step explanation:

Solve the equation for b: A= (1/2)(b)(h)

Answers

Answer:

2A/h = b

Step-by-step explanation:

A= (1/2)(b)(h)

Multiply each side by 2

2A = 2*1/2 *b*h

2A = bh

Divide each side by h

2A/h = bh/h

2A/h = b

Step-by-step explanation:

all work is pictured and shown

find the equation in standard form , of the line passing through points (2,-3) and (4,2)

Answers

The form of linear equation that describes line is:

[tex]y=sx+n[/tex]

First we must calculate the slope.

[tex]s=\dfrac{\Delta{y}}{\Delta{x}}=\dfrac{2-(-3)}{4-2}=\dfrac{5}{2}[/tex]

Now it looks a bit more like this:

[tex]y=\dfrac{5}{2}x+n[/tex]

All we need now is to put in y and x from one point doesn't matter which. I'll pick A.

The equation now looks like this:

[tex]-3=\dfrac{5}{2}\cdot2+n[/tex]

Solve for n.

[tex]

-3=5+n \\

n=-8

[/tex]

And finally write the equation.

[tex]f(x)=\dfrac{5}{2}x-8[/tex]

Hope this helps.

r3t40

Neil started a stamp collection with 12 stamps. Every week , he adds 4 more stamps to the collection. Which function? F represents the relationship between the number of stamps (s) and the number of weeks (w)

Answers

Answer:

[tex]s=4w+12[/tex]

Step-by-step explanation:

Let

s -----> the number of stamps

w ----> the number of weeks

we know that

The linear equation that represent this situation is

[tex]s=4w+12[/tex] ----> equation of the line into slope intercept form

where

the slope m is equal to [tex]m=4\ stamps/week[/tex]

the y-intercept b is equal to [tex]b=12\ stamps[/tex] ---> (the initial value)

The lines shown below are parallel.if the green line has a slope of -2,what is the slope of the red line?

Answers

Answer:

-2

Step-by-step explanation:

If the lines are parallel, the slopes are the same.

Since the green line has a slope of -2, the red line has a slope of -2

The slope is -2.

When lines are parallel, the slopes of the lines will be equal to one another.
When lines are perpendicular they have negative reciprocal slopes, and the product of their slopes will equal -1.

The weight of the paper clip is 1.0025 grams. Find the number of significant digits in the measurement​

Answers

5 significant figures.

Answer: There are 5 sig figs in 1.0025

Step-by-step explanation:

With significant figures, any number other then 0 is a significant figure. The two zeros are significant because they are followed by more numbers. If the number was 1.000, there would only be one sig fig.

Hope this helps!

If f(x) = 3x2 - 4 and g(x) = x+2, find (f - g)(x).

Answers

Answer:

3x^2-x-6

Step-by-step explanation:

f-g means you are going to do (3x^2-4)-(x+2)

3x^2-4-x-2

Combine like terms

3x^2-x-6

Answer:

[tex](f-g) (x) = 3x ^ 2- x - 6[/tex]

Step-by-step explanation:

We have the following functions

[tex]f (x) = 3x ^ 2-4[/tex]

[tex]g (x) = x + 2[/tex]

To find [tex](f-g) (x)[/tex] we must subtract the function f(x) with the function g (x)

Then we perform the following operation

[tex](f-g) (x) = 3x ^ 2-4- (x + 2)[/tex]

[tex](f-g) (x) = 3x ^ 2-4- x - 2[/tex]

[tex](f-g) (x) = 3x ^ 2- x - 2-4[/tex]

Finally we have that:

[tex](f-g) (x) = 3x ^ 2- x - 6[/tex]

rule y=2x
complete the table
x|y
-----
9| ?
? |10
1 | ?

Answers

answer:
x | y
9 | 18
5 | 10
1 | 2

to get this, just substitute the numbers in for the given variables

A karate studio charges $35 for the first course and $22.50 for each course after that, even if the student leaves the course early.
Cena paid $170 for her son to take courses. How many courses did he take?
6 courses
7 courses
8 courses
10 courses

Answers

7 course
Because if 35 is the initial payment you would subtract that from 170. Then get 135 which you would divide by 22.5 and get 6 then you add the first one which makes 7
22.5x+35=170

Answer:  The correct option is (B) 7.

Step-by-step explanation:  Given that a karate studio charges $35 for the first course and $22.50 for each course after that, even if the student leaves the course early.

Cena paid $170 for her son to take courses.

We are to find the number of courses that he took.

Let x represents the number of courses that Cena took.

Then, according to the given information, we have

[tex]35+22.50\times (x-1)=170\\\\ \Rightarrow 22.50(x-1)=170-35\\\\ \Rightarrow 22.50(x-1)=135\\\\ \Rightarrow x-1=\dfrac{135}{22.50}\\\\\Rightarrow x-1=6\\\\ \Rightarrow x=7[/tex]

Thus, the required number of courses that Cena took is 7.

Option (B) is CORRECT.

What is the following sum in simplest form? square root 8 + 3 square root 2 + square root 32

Answers

Answer:

9[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplify each radical before summing

[tex]\sqrt{8}[/tex] = [tex]\sqrt{4(2)}[/tex] = 2[tex]\sqrt{2}[/tex]

3[tex]\sqrt{2}[/tex] is in simplified form

[tex]\sqrt{32}[/tex] = [tex]\sqrt{16(2)}[/tex] = 4[tex]\sqrt{2}[/tex]

Hence

2[tex]\sqrt{2}[/tex] + 3[tex]\sqrt{2}[/tex] + 4[tex]\sqrt{2}[/tex] = 9[tex]\sqrt{2}[/tex]

In simplest radical form, what are the solutions to the quadratic equation 6 = x2 – 10x?

Answers

Answer:

[tex]x = 5+\sqrt{31}\,\, and\,\, x=5-\sqrt{31}[/tex]

Step-by-step explanation:

We need to solve the quadratic equation

6 = x^2 -10x

Rearranging we get,

x^2-10x-6=0

Using quadratic formula to solve the quadratic equation

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

a= 1, b =-10 and c=6

Putting values in the quadratic formula

[tex]x=\frac{-(-10)\pm\sqrt{(-10)^2-4(1)(-6)}}{2(1)}\\x=\frac{10\pm\sqrt{100+24}}{2}\\x=\frac{10\pm\sqrt{124}}{2}\\x=\frac{10\pm\sqrt{2*2*31}}{2}\\x=\frac{10\pm\sqrt{2^2*31}}{2}\\x=\frac{10\pm2\sqrt{31}}{2}\\x = 5\pm\sqrt{31}[/tex]

So, [tex]x=5+\sqrt{31}\,\, and\,\, x=5-\sqrt{31}[/tex]

Answer:

The solutions are:

x1= 5 +√31

x2= 5 -√31

Step-by-step explanation:

We have 6=x^2-10x

Balance the equation by adding the same constant to each side

x^2-10x+25=6+25

x^2-10x+25=31

Rewrite as perfect square,

(x-25)^2=31

Taking square root at both sides

√(x-5)^2 = √31

x-5 = (+/-)√31

x1= 5 +√31

x2= 5 -√31

Therefore the solutions are x1= 5 +√31 , x2= 5 -√31

can someone please help me with this?

Answers

Answer:

[tex]2x^2 - 8x + 6[/tex]

Step-by-step explanation:

Use the FOIL method of multiplying binomials.

First term in each binomial: [tex]x * 2x = 2x^2[/tex]

Outside terms: [tex]x * -2 = -2x[/tex]

Inside terms: [tex]-3 * 2x = -6x[/tex]

Last term in each binomial: [tex]-3 * -2 = 6[/tex]

Now, add them all together.  [tex]2x^2 - 2x - 6x + 6[/tex]

Simplified, this equals [tex]2x^2 - 8x + 6[/tex], which is the answer.

The answer is 2x^2 -8x + 6
Use distributive property

simplify (16x^8 y^64)^1/4

Answers

Answer:

(2x^2)(y^16)

Step-by-step explanation:

Find the LCM of 24,36

Answers

Answer:

LCM of 24, 36  = 72

Step-by-step explanation:

24 = 24, 48, 72, 96

36 = 36, 72, 109

Answer:

The LCM of 24 and 36 = 72

Step-by-step explanation:

Find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.

Multiples of 24:

24, 48, (72), 96, 120

Multiples of 36:

36, (72), 108, 144

Hope this helped!

What is the inverse of the function f(x) = 4x + 8?

h(x) = x – 2

h(x) = x + 2

h(x) = x – 2

h(x) = x + 2​

Answers

To find the inverse of an equation just switch the places of the x and y, then solve for y like so...

(keep in mind that f(x) means the same thing as y)

original equation:

y = 4x + 8

switching x and y:

x = 4y + 8

x - 8 = 4y

[tex]\frac{1}{4}x[/tex] - 2 = y

Hope this helped!

~Just a girl in love with Shawn Mendes

The product of 4 and a number is 3 less than the number. what is the number?​

Answers

Answer:

the number is -1

Step-by-step explanation:

Turn this into an equation. 4x = x-3

subtracting x from both sides gives

3x=-3

so x = -1

Hope this helps!

which graph represents the given linear function 4x+2Y=3​

Answers

Answer:

B

Step-by-step explanation:

4x + 2y = 3

(send 2y to the right and 3 to the left)

4x - 3 = -2y

(divide everything by -2)

(4x)/(-2) - 3/(-2) = y

So now we have a function which is like

y = ax + c

c = the y value of intersection point of the equation and the y-axis

a = amount of increase in y values per x value

so in this example:

(4x/(-2)) = (4/(-2))x -> a = 4/(-2) = -2

and

c = -3/-2 = 3/2

So the graph that we're searching for is increasing (-2) y values (so decreasing 2 y values) per 1 x value and has an intersection with the y-axis where y = 3/2

The equation of the circle with center (3, -2) and radius 7 is:

Answers

Answer:

[tex](x-3)^{2}+(y+2)^{2}=49[/tex]

Step-by-step explanation:

The center-radius form of the equation of a circle is in the format;

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

with the center being at the point (h, k) and the radius being r units.

We simply plugin the values of the center and radius given in order to determine the equation of the circle;

The equation of the circle with center (3, -2) and radius 7 is;

[tex](x-3)^{2}+(y+2)^{2}=49[/tex]

Answer:

[tex](x-3)^2 + (y+2)^2 = 49[/tex]

Step-by-step explanation:

The general equation of a circle has the following form:

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

Where the point (h, k) represents the center of the circle and r represents the radius

In this case we know that the center is (3, -2) and the radius is 7.

Therefore:

[tex]h=3\\k = -2\\r=7[/tex]

Finally the equation of the circle is:

[tex](x-3)^2 + (y-(-2))^2 = 7^2[/tex]

[tex](x-3)^2 + (y+2)^2 = 49[/tex]

prove that tan2A is equal to 2tanA/1-tan^2A

Answers

[tex]\tan(2\alpha)=\dfrac{2\tan \alpha }{1-\tan^2 \alpha}\\\\\\\dfrac{\sin(2\alpha)}{\cos(2\alpha)}=\dfrac{\dfrac{2\sin\alpha}{\cos\alpha}}{1-\dfrac{\sin ^2\alpha}{\cos^2\alpha}}\\\\\\\dfrac{\sin(2\alpha)}{\cos(2\alpha)}=\dfrac{\dfrac{2\sin\alpha}{\cos\alpha} }{\dfrac{\cos^2\alpha}{\cos^2\alpha}-\dfrac{\sin ^2\alpha}{\cos^2\alpha}}\\\\\\\dfrac{\sin(2\alpha)}{\cos(2\alpha)}=\dfrac{\dfrac{2\sin\alpha}{\cos\alpha} }{\dfrac{\cos^2\alpha-\sin^2 \alpha}{\cos^2\alpha}}[/tex]

[tex]\dfrac{\sin(2\alpha)}{\cos(2\alpha)}=\dfrac{2\sin\alpha}{\cos\alpha} \cdot\dfrac{\cos^2\alpha}{\cos^2\alpha-\sin^2 \alpha}\\\\\\\dfrac{\sin(2\alpha)}{\cos(2\alpha)}=\dfrac{2\sin\alpha\cos\alpha}{\cos^2\alpha-\sin^2 \alpha} \\\\\\\dfrac{\sin(2\alpha)}{\cos(2\alpha)}=\dfrac{\sin(2\alpha)}{\cos(2\alpha)}[/tex]

Answer:

See below.

Step-by-step explanation:

tan 2A = sin 2A / cos 2A

= 2 sinA cosA / (cos^2A - sin^2A)

Now divide top and bottom of the fraction by cos^2 A:

2 sinA cosA               cos^2A         sin^2 A

-------------------      /     -----------   -   -------------

cos^2A                      cos^2 A        cos^2 A

= 2 tan A / 1 - tan^2A).

in algebra to you do the numbers in parentheses first

Answers

Answer:

yes you start solving whats in the parentheses

Step-by-step explanation:

In algebra you use the order of operations or PEMDAS

PEMDAS is a way to help you remember what you solve first

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

What’s the value of x

Answers

Answer:

25

Step-by-step explanation:

2x + 2 + 5x + 3 = 180      

2 lines that cross make consecutive angles supplementary.

Combine the left.

7x + 5 = 180        Subtract 5 from both sides.

7x +5-5=180-5    Combine

7x = 175               Divide by 7

7x/7=175/7          

x = 25

What is the volume of the composite figure?
748 cubic inches
680 cubic inches
2,176 cubic inches
1,428 cubic inches

Answers

Answer:

748 in^3.

Step-by-step explanation:

This consists of a triangular prism and a  rectangular cuboid .

Volume of the prism =  .1/2 * 8 *11 * 17 = 748 in^3

Volume of the cuboid =  5*8*17 = 680 in^3

Therefore the volume of the whole figure

= 680 + 748 =  1428 in^3.

Answer:

What is the volume of the composite figure?

748 cubic inches

Step-by-step explanation:

If ABCDE is reflected over the x-axis and then translated 3 units left, what are the
new coordinates D?
are
HE
RE

Answers

Final answer:

When point D in shape ABCDE is reflected over the x-axis, the y-coordinate changes its sign. If it is then translated 3 units to the left, the x-coordinate of D decreases by 3. Therefore, if the original coordinates of D are (d1, d2), after these transformations, its new coordinates will be (d1-3, -d2).

Explanation:

To answer this question, we need to understand how the reflection and translation transformations affect the coordinates of point D in the shape ABCDE.

First, when a point is reflected over the x-axis, the y-coordinate changes sign. For example, if the original coordinates of D are (d1, d2), after reflection over the x-axis, the new coordinates will be (d1, -d2).

Next, a translation of 3 units to the left (in the negative x direction), lowers the x coordinate by 3 units. Thus, after this translation, the final coordinates of point D will be (d1-3, -d2).

So, if you know the original coordinates of point D in the shape ABCDE, you can calculate its new position after these transformations in the described way.

Learn more about Transformations here:

https://brainly.com/question/11709244

#SPJ12

The new coordinates of point D after reflection over the x-axis and translation 3 units left is

How to find the new coordinates

The coordinates is solved by considering the sequence of transformation that took place

Reflection over the x-axis will result to

D (-3, -1) → D' (-3, 1)

Translation of 3 units left will result to

D' (-3, 1) → D"(-6, 1)

Learn more about Translation

https://brainly.com/question/1046778

#SPJ3

A board 60 in. Long is cut two parts so that the longer piece is 5 times the shorter. What are the length of the two pieces?

Answers

Answer:

The shorter piece is 10 in. and the longer one is 50 in.

Step-by-step explanation:

First, let's set the shorter piece to be length x. Then the longer piece is 5x, or 5 times longer than the shorter piece.

Since both pieces combined equals to the length of the entire board, we can set these two lengths equal to it:

x + 5x = 60

And now solve for x:

6x = 60

x = 10 in (length of shorter piece)

Now let's find the length of the longer piece:

Longer = 5x = 5(10) = 50 in.

Triangle ABC is translated 2 units right and 5 units down to form triangle A′B′C′. This triangle is then translated 5 units right and 4 units up to form triangle A″B″C″. If vertex A is at (-4, 2), what are the coordinates of vertex A″? A. (3, -1) B. (3, 1) C. (-4, -2) D. (2, -4) E. (-11, 1)

Answers

Answer:

B

Step-by-step explanation:

So, for this problem, it is only asking for vertex A, so you only have to apply the transformations to one point (unless you want to find out where the other points are at).

Vertex A is at (-4,2).

The triangle is first translated 2 units right and 5 units down.

So to find the coordinate of that you have to understand that is you translate something right or left, the x value will change. And if it's up or down, the y value will change. If you are going right or up, the amount it's moved will be added. And left or down will be subtracted.

-4+2=-2 (so the new x-value will be -2)

2-5=-3 (so the new y-value will be -3)

Thus vertex A' is (-2,-3).

Now for the next transformation.

(-2,-3) is moved 5 units right and 4 units up.

-2+5=3 (so x-value will be 3)

-3+4=1 (so the y-value will be 1)

SO, the new coordinate of vertex A" is...

(3,1)! aka B

(Also, you can just illustrate this on a graph but i'm showing it to you this way because when you get more advanced the amount it is being translated will be much higher.)

Answer: The answer is B

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