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3 years ago

Daphne replaced light bulbs in her mothers store.

Mathematics

2 answers:

ozzi3 years ago

7 0

Start with 1/3 - 3/4. Find the lowest common demoninator(LCD) which is 12.

4/12 - 9/12.

5/12 are left.

Vinvika [58]3 years ago

7 0

How many light bulbs might be in a full box?

Answer: 1/2 of the box of light bulbs was left.

What fraction of the box of light bulbs was left?

Answer: Any multiple of 12, because 1/4 and 1/3 have a common denominator of 12.

(1/3) * (3/4) = 3/12 = 1/4 used

4/4 - 1/4 = 3/4 left

To find the number of bulbs in a full box, you need a multiple of 3 and 4 which could be:

12, 24, 36, 48, etc.

Use multiples of 12 to find how many light bulbs are in a whole box.

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The factorization of 8x3 -125 is (2x-5)(jx2 +kx+25)

lbvjy [14]

$\bf ~\hspace{10em}\textit{difference and sum of cubes} \\\\ a^3+b^3 = (a+b)(a^2-ab+b^2) ~\hfill a^3-b^3 = (a-b)(a^2+ab+b^2) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 8x^3-125~~ \begin{cases} 8=2\cdot 2\cdot 2\\ \qquad 2^3\\ 125=5\cdot 5\cdot 5\\ \qquad 5^3 \end{cases}\implies 2^3x^3-5^3\implies (2x)^3-5^3 \\[2em] [2x-5][(2x)^2+(2x)(5)+5^2]\implies (2x-5)(\stackrel{\stackrel{j}{\downarrow }}{4}x^2+\stackrel{\stackrel{k}{\downarrow }}{10}x+25)$

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3 years ago

How would I calculate the horizontal distance of a parabola?

maks197457 [2]

X = y2 is the equation for it just plug in the numbers

7 0

1 year ago

Alicia is writing the program for a video game.

ICE Princess25 [194]

Step-by-step explanation:

A.-6-3 = -9

0+4 = 4

(-9,4)

B.3-3 = 0

-4+4 = 0

(0,0)

7 0

3 years ago

A local yoga studio

Andrews [41]

Answer:

Let's call the first studio, yoga studio A.

Let's call the second studio, yoga studio B.

The equations:

Yoga Studio A: y=10x+55

Yoga Studio B: y=12.5x+25

So, for 12 classes:

Yoga Studio A: y=10(12)+55, y=175

Yoga Studio B: y=12.5(12)+25, y=175

These two numbers are equal, so Griffin is right.

For 10 classes:

Yoga Studio A: y=10(10)+55, y=155

Yoga Studio B: y=12.5(10)+25, y=150.

These two numbers are not equal, so Gigi is wrong.

Let me know if this helps!

5 0

3 years ago

Which is an exponential growth function f(x)=6(0.25)x f(x)=0.25(5.25)x

Vikki [24]

Answer: Second Option

$f(x)=0.25(5.25)^x$

Step-by-step explanation:

The exponential growth functions have the following form:

$f(x) = a(b)^x$

Where a is the main coefficient, b is the base and x is the exponent.

For this type of functions the base b must always be greater than 1. Otherwise it would be an exponential decay function

Among the options given, the only function whose base is greater than 1 is the second option:

$f(x)=0.25(5.25)^x$

6 0

3 years ago

Read 2 more answers