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3 years ago

Simplify the ratio 20 in 5ft

1 answer:

6 0

1 foot = 12 inch 20/(5*12) = 20/60 = 1/3 2) .Let x=width 9/5x=length 2W 2L=P 2(x) 2(9/5x)=112 2x (18/5)x = 112 28x = 560 x=560/28 x= 20 inches Width (9/5)x=36 inches Length Check: 2W 2L = P 2(20) 2(36) = 112 8 48 =112

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The diameter of the wheels on your car is 25 inches. You are going to drive 458 miles today. Each of your wheels is going to tur

Kipish [7]

d = Diameter of wheels = 25 inches

s = Distance to be traveled by the wheels = 458 miles

Converting the miles to inches

$s=458\times 5280\times 12=29018880\ \text{inches}$

The distance traveled by the wheels in rotation is the circumference

$D=\pi d\\\Rightarrow D=\pi\times 25$

The number of rotations required to cover the distance would be

$\dfrac{s}{D}\\ =\dfrac{29018880}{\pi\times 25}\\ =369479.855599$

$1$ rotation is $360^{\circ}$ so

$369479.855599\times 360=133012748.016^{\circ}$

The number of rotations to cover the required distance is $133012748.016^{\circ}$

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4 0

2 years ago

1. a line with a slope of 1/3 passes through the point (3, 6) . which point also lies on this line?

valentina_108 [34]

1) Substituting into point-slope form, the equation of the line is y-6=⅓(x-3), which rearranges to:

y-6 = ⅓x - 1
y = ⅓x + 5

So, we can now substitute in the coordinates of each of the options to see which point lies on the line.

3 = ⅓(6) + 5 -> 3 = 7, which is false.
6 = ⅓(7) + 5 -> 6 = 22/3, which is false.
-3 = ⅓(-3) + 5 -> -3 = 4, which is false.
3 = ⅓(-6) + 5 -> 3 = 3, which is true.

So, the answer is (4) (-6, 3)

2) Substituting into point-slope form, the equation of the line is y - 5 = ¾(x-2), which rearranges to:

y - 5 = 0.75x - 1.5
y = 0.75x + 3.5

So, we can now substitute in the coordinates of each of the options to see which point lies on the line.

8 = 0.75(6)+3.5 -> 8 = 8, which is true.
9 = 0.75(5) + 3.5 -> 9 = 7.25, which is false.
1 = 0.75(-1) + 3.5 -> 1 = 2.75, which is false.
2 = 0.75(6) + 3.5 -> 2 = 8, which is false.

So, the answer is (1) (6, 8).

3 0

1 year ago

-y-x=0<br> Write in y=Mx+b

Ymorist [56]

Answer:

y = (-1)x

Step-by-step explanation:

What you are to do here is to "rewrite -y - x = 0 in the slope-intercept form y = mx + b."

Start by solving -y - x = 0 for y: -y = x or y = -x.

Rewrite this by inserting the coefficient 1 and representing b by 0:

y = (-1)x + 0

which is equivalent to y = (-1)x

6 0

2 years ago

Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and poin

Nana76 [90]

The total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30

<h3>What is inequality?</h3>

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards.

Total distance if Pete walks from A to B to C:

= 15 + 25 = 40 yards

As we know in the triangle the sum of the two sides is greater than the third side.

25 + 15 > AC

40 > AC

AC < 40

The direct distance from A to C is more than 10(25-15) yards.

The inequality w < 30 represents the distance, w, that Pete might save by taking the direct path.

Thus, the total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30

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3 0

1 year ago

What is the greatest common multiple of 9 and 27

dusya [7]

Hi,

The greatest common multiple of 9 and 27 is 9

<em>explanations</em><em>:</em>

9 x 1 = 9

9 x 3 = 27

✅;-)

6 0

2 years ago