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3 years ago

You bought a magazine for $2 and some erasers for $3 each. You spent a total of $20. How many erasers did you buy?

Mathematics

2 answers:

Lisa [10]3 years ago

6 0

You bought 6 erasers and 1 magazine

velikii [3]3 years ago

3 0

6 erasers!

2 + 3x = 20

20 - 2 = 18

3x = 18

3 divided by 3 is 0

18 divided by 3 is 6

x = 6

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What is the simplified answer to this problem 12 > -3x + 6

Verdich [7]

In this question, you're simplifying the inequality by solving for x.

Solve for x:

12 > -3x + 6

flip the equation:

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3 years ago

A rope of length 18 feet is arranged in the shape of a sector of a circle with central angle O radians, as shown in the

creativ13 [48]

Answer:

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Let

r ---> the radius of the sector

s ---> the arc length of sector

Find the radius r

we know that

$2r+s=18$

$s=r \theta$

$2r+r \theta=18$

solve for r

$r=\frac{18}{2+\theta}$

step 2

Find the value of s

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substitute the value of r

$s=\frac{18}{2+\theta}\theta$

step 3

we know that

The area of complete circle is equal to

$A=\pi r^{2}$

The complete circle subtends a central angle of 2π radians

using proportion find the area of the sector by a central angle of angle theta

Let

A ---> the area of sector with central angle theta

$\frac{\pi r^{2} }{2\pi}=\frac{A}{\theta} \\\\A=\frac{r^2\theta}{2}$

substitute the value of r

$A=\frac{(\frac{18}{2+\theta})^2\theta}{2}$

$A=\frac{162 \theta}{(\theta+2)^2}$

Convert to function notation

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

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4 years ago

Brainliest !!!!!!!!!! correct and fast answers only!!

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Pavlova-9 [17]

7 34/24. Hope this helps!

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