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3 years ago

6

The price of CD player was reduced from 80 to 52 what was the percent decrease in the price of the CD player

1 answer:

Nikitich [7]3 years ago

4 0

Answer:

The CD player's price decreased by 35%

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Using the distributive property, Marta multiplied the binomial (2x + 3) by the trinomial (x2 + x – 2) and got the expression bel

Lelu [443]

Answer:

The resultant expression is $2x^{2}+5x^{2}-x-6$ .

Step-by-step explanation:

The distributive property of multiplication is:

$a\times (b+c)=(a\times b)+(a\times c)$

The two polynomials provided are:

$(2x+3)\\(x^{2}+x-2)$

Determine the final expression by multiplying the two polynomials as follows:

$(2x+3)\times (x^{2}+x-2)=[2x\times(x^{2}+x-2)]+[3\times(x^{2}+x-2)]$

$=[(2x\times x^{2})+(2x\times x)-(2x\times 2)]+[(3\times x^{2})+(3\times x)-(3\times 2)]\\\\=[2x^{3}+2x^{2}-4x]+[3x^{2}+3x-6]\\\\=2x^{3}+2x^{2}+3x^{2}-4x+3x-6\\\\=2x^{3}+5x^{2}-x-6$

Thus, the resultant expression is $2x^{2}+5x^{2}-x-6$ .

3 0

3 years ago

A box with a square base and open top must have a volume of 32,000 cm3. Find the dimensions of the box that minimize the amount

nata0808 [166]

Answer:

Step-by-step explanation:

Given

Volume of box $V=32,000 cm^3$

Let b be the square base and h be the height of box

Volume $V=b^2\cdot h$

$h=\frac{V}{b^2}$

Surface Area $A=b^2+4bh$

$A=b^2+4b\times \frac{V}{b^2}$

$A=b^2+4\frac{V}{b}$

Differentiate A w.r.t b to get maxima/minima

$\frac{\mathrm{d} A}{\mathrm{d} b}=2b-\frac{4\times V}{b^2}$

$2b-\frac{4\times V}{b^2}=0$

$b^3=\frac{4V}{2}$

$b^3=\frac{4\times 32,000}{2}$

$b=40 cm$

$[tex]h=\frac{32,000}{40\times 40}$

$h=20 cm$

4 0

3 years ago

I need help with this problem

Irina18 [472]

Answer:

(3,4)

Step-by-step explanation:

Because that's where the two lines intersect.

8 0

3 years ago

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What is the name of the tide when the sun, moon, and earth are all aligned, causing the greatest pull for highest and lowest tid

Naily [24]

Answer:

Whenever the earth, moon and sun are aligned, the gravitational pull of the moon is augmented by the gravitational pull of the sun, causing larger than average tidal ranges — meaning especially high high tides and very low low tides. These extreme tides are called “spring tides.”

Step-by-step explanation:

7 0

3 years ago

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Evaluate \dfrac14c+3d

Crank

Answer: $\frac{45}{2}$

Step-by-step explanation:

<h3> The exercise is: " Evaluate $\frac{1}{4}c + 3d$ when $c = 6$ and $d = 7$ </h3>

Given the following expression:

$\frac{1}{4}c + 3d$

You can follow these steps in order to evaluate it:

1. Substitute $c = 6$ and $d = 7$ into the expression provided in the exercise:

$\frac{1}{4}(6) + 3(7)$

2. Solve the multiplications. Remember that:

$\frac{a}{b}*\frac{c}{d}=\frac{ac}{bd}$

Then:

$=\frac{6}{4} +21$

3. Reduce the fraction. Notice that the numerator 6 and the denomiantor 4 can be both divided by 2. Then:

$=\frac{3}{2} +21$

4. Solve the addition:

$=\frac{3}{2} +\frac{21}{1}$

Since the number 21 has a denominator 1, the Least Common Denominator is:

$LCD=2$

Then, the sum is:

$=\frac{3+42}{2}=\frac{45}{2}$

5 0

3 years ago

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