An electric bulb is sold in a box measuring 5 cm by 4 cm by 4 cm. If the shopkeeper receives them in a carton measuring 50 cm by 20 cm by 20 cm, how many bulbs would be packed in one carton ?​

[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{2}x^2\stackrel{\stackrel{b}{\downarrow }}{-4}x\stackrel{\stackrel{c}{\downarrow }}{-7} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x= \cfrac{ - (-4) \pm \sqrt { (-4)^2 -4(2)(-7)}}{2(2)} \implies x= \cfrac{ 4 \pm \sqrt { 16 +56}}{ 4 } \\\\\\ x=\cfrac{4\pm 6\sqrt{2}}{4}\implies x=\cfrac{2\pm 3\sqrt{2}}{2}\implies x= \begin{cases} \frac{2\pm 3\sqrt{2}}{2}\\\\ -\frac{2\pm 3\sqrt{2}}{2} \end{cases}[/tex]

Answer:

42 . 9 in^2

Step-by-step explanation:

Area of trapezoid     average of two bases  X  height

area = ( 3.3 + 9.9)/2   * 6.5 = 42.9 in^2

Answer:

14

Step-by-step explanation:

We can find the sum of these numbers by adding them together.

The cumulative rule of addition lets us add numbers together in any order we want.

So, for 2 + 3 + 4 + 5 …

2 + 3 = 5

So now we have 5 + 4 + 5

5 + 4 = 9

Now we have 9 + 5

And 9 + 5 = 14

So, your answer is 14

Hope this helps!

Answer:

⅜ is the distance

Hope you found this answer very useful

Answer:

there is no solution since the equations are the same hence on trying to solve all variables will cancel out

Simplifying

9x + -17 = 4x + 28

Reorder the terms:

-17 + 9x = 4x + 28

Reorder the terms:

-17 + 9x = 28 + 4x

Solving

-17 + 9x = 28 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.

-17 + 9x + -4x = 28 + 4x + -4x

Combine like terms: 9x + -4x = 5x

-17 + 5x = 28 + 4x + -4x

Combine like terms: 4x + -4x = 0

-17 + 5x = 28 + 0

-17 + 5x = 28

Add '17' to each side of the equation.

-17 + 17 + 5x = 28 + 17

Combine like terms: -17 + 17 = 0

0 + 5x = 28 + 17

5x = 28 + 17

Combine like terms: 28 + 17 = 45

5x = 45

Divide each side by '5'.

x = 9

Simplifying

x = 9

Answer:

[tex]1\frac{1}{5}[/tex]

Step-by-step explanation:

6/5

= 1 1/5

Answer:

[tex]1\frac{1}{5}[/tex]

Step-by-step explanation:

First, we do 6 / 5 = 1.2. We do this because we are sharing 6 cups with 5 friends - we are dividing 6 cups between 5 friends.

So, each friend will get 1.2 cups. But, the question is asking for a fraction. 0.2 is the same as [tex]\frac{1}{5}[/tex], so each person will get [tex]1\frac{1}{5}[/tex]

Alternatively, you could do [tex]\frac{6}{5} = 1\frac{1}{5}[/tex]

Hope this makes sense.

- profparis

Answer:

130 minutes

Step-by-step explanation:

They watched 50% of movie, means 50% left unwatched

Remaining length = 65 minutes = 50% of movie

Movie length = 65 *2 = 130 minutes

Answer:

x = 6

Step-by-step explanation:

To find x we set up an  equation as so:

[tex]\frac{4.5}{x} =\frac{6}{8}[/tex]

Then we solve by multiplying 4.5 by 8 and 6 by x

[tex]6x=36[/tex]    Solve for x

[tex]\frac{6x}{6} =\frac{36}{6}[/tex]    x = 6

To check our answer when we substitute x or 6 we divide to make sure both sides equal the same number

[tex]\frac{4.5}{6} =\frac{6}{8}[/tex]    when divided both equals 0.75

Answer:

85

Step-by-step explanation:

Mean = Sum of the terms / Number of terms

Answer:

27%

Step-by-step explanation:

Red gumballs / total = 27/100 = 27%

Answer:

Most 1995 pennies in circulated condition are only worth their face value of $0.01. These coins can only sell for a premium in uncirculated condition. The 1995 penny with no mint mark and the 1995 D penny are each worth around $0.30 in uncirculated condition with an MS 65 grade.

Step-by-step explanation:

hope this helps.

Step-by-step explanation:

let's be more detailed than the other answer :

the perimeter is the sum of all sides of an object. in case of a triangle, well, that is the sum of all 3 sides.

so,

25 = x + (x-5) + (x+3) = x + x - 5 + x + 3 = 3x - 2

27 = 3x

x = 9

so, the sides are

x = 9 cm

(x-5) = 9 - 5 = 4 cm

(x+3) = 9 + 3 = 12 cm

Answer:

1400

Step-by-step explanation:

67 rounds to 70 because 7 is bigger than 5 so it rounds up. 23 rounds down since 3 is smaller than 5.

So, 70x20=1400

Step-by-step explanation:

As we can see x and 70° is alternate with each other so it can be name as alternative angle ....

So .....

x = 70° ( being alternative angle )

Now....we can see that y and x is vertically opposite ....so it can be name as vertically opposite angle....

y = x ( being vertically opposite angle )

y = 70°

Answer:

Step-by-step explanation:

m<2 + 108 = 180

m<2 = 72

The area and the circumference of the circle are 530.93 square ft and 81.68 ft. If fertilizer will be applied to the lawn. Then the area is used. If the lawn will be surrounded by tape. Then the circumference is used.

It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.

The figure below shows a circular lawn. Its diameter is 26 ft.

Then the area of the circle will be

[tex]\rm A = \dfrac{\pi }{4} d^2\\\\A = \dfrac{\pi }{4} \times 26^2\\\\A = 530.93 \ \ ft^2[/tex]

Then the circumference of the circle will be

Circumference = π d

Circumference = π × 26

Circumference = 81.68 ft

If fertilizer will be applied to the lawn. Then the area is used.

If the lawn will be surrounded by tape. Then the circumference is used.

More about the circle link is given below.

https://brainly.com/question/11833983

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Answer:

119 5/7

Explanation:

I’ve attached my worK

Answer:

6 Miles

Step-by-step explanation:

What do we know: Linda hiked 10 miles last weekend, and she plans to walk 3/5ths of that next weekend.

Thus, we take 10 and multiply it by 3/5.

To understand it all better, let's write the equation like this, X will be the number of miles Linda plans to hike next weekend.

[tex]\frac{10}{1}[/tex]×[tex]\frac{3}{5}[/tex] = [tex]\frac{30}{5}[/tex]

Afterwards we can simplify like so, factoring 5 from both the numerator and the denominator:

[tex]\frac{5(6)}{5(1)}[/tex]

The 5's in the numerator and denominator cancel out, leaving us with:

[tex]\frac{6}{1}[/tex]

Or in simpler terms 6. Thus we can know that Linda will hike 6 miles next weekend.

Answer:

In terms of pi: 243[tex]\pi[/tex]

in decimal form: 763.407

Step-by-step explanation:

to find surface area of a hemisphere the formula is,

[tex]3\pi r^{2}[/tex]

diameter (d) = 18

radius = d / 2 = 18 / 2

radius = 9

[tex]3\pi (9)^{2} \\3\pi (81)\\243\pi \\OR\\763.407[/tex]

Answer:

36

Step-by-step explanation:

4(a+b)-c

4(4)+4(8)=16+32-12

48-12=36

Answer:

15π in²

Step-by-step explanation:

Formula

Solving

Answer:

y = - 2(x - 1)² + 18

Step-by-step explanation:

- 2x² + 4x + 16 ← factor out - 2 from the first 2 terms

= - 2(x² - 2x) + 16

using the method of completing the square

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

= - 2(x² + 2(- 1)x + 1 - 1) + 16

= - 2(x - 1)² + 2 + 16

= - 2(x - 1)² + 18 ← in vertex form

Answer:

a = 24

Step-by-step explanation:

a - 1.5 = 22.5

a = 24

you can plug it into the other 2 to make sure it is right my brain hurts so i won't.

Have a nice day! :) and btw people will think it is a scam because 2 answers are allowed right so the points split in half and the person answering will only get 10 points

A function assigns the values. When in the function f(x)=x, f(x) is replaced by 4f(x), the slope of the function reduces by a factor of 4.

A function assigns the value of each element of one set to the other specific element of another set.

Given the function f(x) is equal to x. If f(x) in the given function is replaced with 4f(x), then the result will be,

[tex]4f(x) = x\\\\f(x)=\dfrac{x}4 \\\\ f(x) = \dfrac14 \times x[/tex]

Hence, when in the function f(x)=x, f(x) is replaced by 4f(x), the slope of the function reduces by a factor of 4.

Learn more about Function:

https://brainly.com/question/5245372

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Answer:

11.33

Step-by-step explanation:

Add all of the numbers together, then divide them by the number of numbers (6)

[tex]~~~~(11.2)^2\\\\=(11+0.2)^2\\\\=11^2 + 2(11)(0.2) + (0.2)^2\\\\=121+4.4+0.04\\\\=125.44[/tex]

Hey there!

11.2^2

= (11.2)^2

= 11.2 * 11.2

= 125.44

Therefore, the answer should be: 125.44

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)