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Mathematics

1 answer:

Alla [95]3 years ago

4 0

Answer:

Step-by-step explanation:

3x + 15 = -4x + 8

7x = -7

x = -1

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302 car stereos were recently sold in a car audio store. 149 had a CD player, 116 had a cassette player, and 40 had both a CD an

Mandarinka [93]

Answer:

109 car stereos

Step-by-step explanation:

If 149 car stereos had a CD player (with or without a cassette player), and 40 car stereos had both a CD and a cassette player, the number of stereos with only a CD player is determined by:

$CD_{only} = CD - Both\\CD_{only} =149-40\\CD_{only} =109\ car\ stereos$

109 car stereos had only a CD player.

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3 years ago

Which of the following are binomials? Check all that apply.

Nezavi [6.7K]

<span>Binomial is the sum of two monomials.
</span>
$\text{binominals:}\\\\C.\ x^2+18\\D.\ x+2$
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3 years ago

The circumference of a circle is 65?. In terms of pi, what is the area of the circle?

iVinArrow [24]

Answer:

1056.25π square units

Step-by-step explanation:

A few formulas an definitions which will help us:

(1) $\pi=\frac{c}{d}$ , where c is the circumference of a circle and d is its diameter

(2) $A=\pi r^2$ , where A is the area of a circle with radius r. To put it in terms of d, remember that a circle's diameter is simply twice its radius, or mathematically, (3) $d=2r \rightarrow r=\frac{d}{2}$ .

We can rearrange equation (1) to put d in terms of π and c, giving us (4) $d = \frac{c}{\pi}$ , and we can make a few substitutions in (2) using (3) and (4) to get use the area in terms of the circumference and π:

$A=\pi r^2\\=\pi\left(\frac{d}{2}\right)^2\\=\pi\left(\frac{d^2}{4}\right)\\=\pi\left(\frac{(c/\pi)^2}{4}\right)\\=\pi\left(\frac{c^2/\pi^2}{4}\right)\\=\pi\left(\frac{c^2}{4\pi^2}\right)\\\\=\frac{\pi c^2}{4\pi^2}\\ =\frac{c^2}{4\pi}$