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What are expressions are equivalent to 6x-18y

Soloha48 [4]

Answer:

Step-by-step explanation:

6 is common to both terms, so 6x - 18y is equivalent to 6(x - 3y).

3 0

3 years ago

O'Henry Elementary School has a chess club. Of the students in the sixth

kiruha [24]

Answer:

35% of the sixth grade is in the chess club

Step-by-step explanation:

if there are 100 students consider that as 100%

20 is a fifth of 100

20 x 5 =100

since 7/20 is a fraction you multiple the numerator (7) with the same number you multiplied to the denominator (20) which is 5.

7 x 5 = 35

35/100 = 35%

3 0

3 years ago

To the nearest tenth, which is the perimeter of ABC. Geometry

qwelly [4]

Answer:

23.6

Step-by-step explanation:

Finding AC:

Cos 61 = $\frac{adjacent}{hypotenuse}$

0.48 × 10 = Adjacent

AC = 4.8

Now, CB:

Cos 29 = $\frac{adjacent}{hypotenuse}$

0.87 × 10 = CB

CB = 8.8

The perimeter:

=> 10+4.8+8.8

=> 23.6

3 0

3 years ago

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Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 3 inches, and the larger gear has a ra

Crank

Answer:

Part 1: Angle = 154.3°

Part 2: About 2.33 Rotations

Step-by-step explanation:

Part 1:

The arc length of a circle is given by the formula $s=r\theta$

Where

s is the arc length
r is the radius of the circle
$\theta$ is the angle

**The angle are in radians and we will use radian**

When smaller gear has made 1 complete rotations ( $2\pi$ radians), the arc length traveled is $s=r\theta\\s=(3)(2\pi)\\s=6\pi$

Now, what angle is swept by the larger circle when it travels $6\pi$ ? Put in $s=6\pi$ and r is 7 to find $\theta$ :

$s=r\theta\\6\pi=(7)\theta\\\theta= \frac{6\pi}{7}$

** Since $\pi$ radians is 180°, we plug in 180 into $\pi$ and find the degree measure:

$\frac{6\pi}{7}=\frac{6*180}{7}=154.3$

Angle = 154.3°

Part 2:

In one complete rotation of the larger gear, it travels a distance of:

$s=r\theta\\s=(7)(2\pi)\\s=14\pi$

We know that the smaller circle makes 1 rotation and travels $s=r\theta=(3)(2\pi)=6\pi$ , so in $14\pi$ distance, it makes:

Rotations = $\frac{14\pi}{6\pi}=\frac{14}{6}=2.33$

About 2.33 Rotations

4 0

3 years ago

In the coordinate plane, a circle has center (2, -3) and passes through the point (5, 0).

ICE Princess25 [194]

Answer:

C) 18

Step-by-step explanation:

In order to get the answer to this word problem you have to mentally image in your head looking at a coordinate graph. You see the point (2, -3) which is on the x or y axis. You see the point (5, 0) which is also on the x or y axis. When those two points or coordinates cross, they get the number 18.

7 0

3 years ago

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