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Arisa [49]
3 years ago
8

Hi i will give 50 POINTS and BRAINLIEST to whoever answers this question ​

Mathematics
2 answers:
ikadub [295]3 years ago
5 0

Answer:

Ratio of white:coloured = 1 : 4

Step-by-step explanation:

48mm coloured : 1.2 cm white

48mm coloured : 12 mm white

Express the amount of white fabric to coloured fabric as a ratio in its simplest form.

Order is important, so

WHITE : COLOURED

= 12 : 48 ...............................simplify

= 1 : 4

Alina [70]3 years ago
3 0

Answer:

\boxed{4 : 1}

Step-by-step explanation:

Colored Fabric = 48 mm

White Fabric = 1.2 cm

<u><em>Ratio of white fabric to colored fabric is:</em></u>

48 mm : 1.2 cm

To express any ratio, we need to equalize the units  ( 1 cm = 10 mm)

=> 48 mm : 12 mm

     ÷12           ÷12

=> 4 : 1

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A manufacturer has been selling 1000 flat-screen TVs a week at $500 each. A market survey indicates that for A manufacturer has
luda_lava [24]

Answer:

a) Demand function: q=6000-10\cdot p

b) The rebate should be of $200, so the sale price becomes $300 per unit.

c) The rebate should be of $150, so the sale price becomes $350 per unit.

Step-by-step explanation:

a) In this case, we have a known point of the demand function (1000 units sold at $500), and the slope of a linear function (increase by 100 units fora decrease in $10).

We can express the demand function (linear) as:

q=b+m\cdot p

To calculate the slope m, we use:

m=\Delta q/\Delta p=(+100)/(-10)=-10

To calculate b, we use the known point and the calculated slope:

q=b+m\cdot p\\\\b=q-m\cdot p=1000-(-10)\cdot (500)=1000+5000=6000

Then the demand function is:

q=6000-10\cdot p

b) The revenue can be expressed as:

R=q\cdot p = (6000-10p)\cdot p=6000p-10p^2

To maximize, we can derive and equal to zero

dR/dp=6000-2*10p=0\\\\20p=6000\\\\p=300

The rebate should be of $200, so the sale price becomes $300 per unit.

c) If we take into account the cost, we have that

R=q\cdot p-C=(6000p-10p^2)-(68000+100q)\\\\R=(6000p-10p^2)-(68000+100(6000-10p))\\\\R=6000p-10p^2-(68000+600000-1000p)\\\\R=-10p^2+7000p-668000

To maximize, we can derive and equal to zero

dR/dp=-20p+7000=0\\\\p=7000/20=350

The rebate should be of $150, so the sale price becomes $350 per unit.

5 0
3 years ago
What is the value of x in the equation –x = 4 – 3x + 6?
Nataly [62]
Remember you can do anything to an equaiton as long as you do it to both sides


-x=4-3x
add 3x both sides
3x-x=4+3x-3x
2x=4+0
2x=4
divide 2
2x/2=4/2
2/2x=2
1x=2
x=2
7 0
3 years ago
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What is -5x to the -3 power?
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-125x

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8 0
3 years ago
Read 2 more answers
Multiply and simplify the following expression -4√15 x(-√3)
larisa [96]

Answer:

\large\boxed{12\sqrt5}

Step-by-step explanation:

\text{Use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\-----------------\\\\-4\sqrt{15}\cdot\left(-\sqrt3\right)=4\sqrt{(15)(3)}=4\sqrt{5\cdot3\cdot3}=4\sqrt5\cdot\sqrt9\\\\=4\sqrt5\cdot3=12\sqrt5

6 0
3 years ago
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