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3 years ago

MATH HELP PLEASE 10 POINTS !

Mathematics

1 answer:

joja [24]3 years ago

7 0

Three times the difference of a number n and 1

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You have a 32-foot fence around a square garden. You paint 1/3 of one side of the fence. What fraction of the fence did you pain

dmitriy555 [2]

The answer is 1/12.

The perimeter of a square garden with side s is:
P = 4s

s = 1/4P

Since it is painted 1/3 of 1/4 of the fence, the fraction of the painted fence is:
1/3 * 1/4 = 1/12

8 0

3 years ago

An arc of a circle is 3πm long, and it subtends an angle of 72° at the center of the circle. Find the radius of the circle.

Alex777 [14]

72⁰_______3π m
360⁰______15π m

C = 15π = 2π r
r = 7•5 m

8 0

3 years ago

What kind of slope does the following line have? +

Softa [21]

Answer:

horizontal and vertical

Step-by-step explanation:

if its the plus?

5 0

3 years ago

Dwayne drove 18 miles to the airport to pick up his father and then returned home. On the return trip he was able to drive an av

Nesterboy [21]

Answer:

30 mph

Step-by-step explanation:

Let d = distance (in miles)

Let t = time (in hours)

Let v = average speed driving to the airport (in mph)

⇒ v + 15 = average speed driving from the airport (in mph)

Using: distance = speed x time

$\implies t=\dfrac{d}{v}$

Create two equations for the journey to and from the airport, given that the distance one way is 18 miles:

$\implies t=\dfrac{18}{v} \ \ \textsf{and} \ \ t=\dfrac{18}{v+15}$

We are told that the total driving time is 1 hour, so the sum of these expressions equals 1 hour:

$\implies \dfrac{18}{v} +\dfrac{18}{v+15}=1$

Now all we have to do is solve the equation for v:

$\implies \dfrac{18(v+15)}{v(v+15)} +\dfrac{18v}{v(v+15)}=1$

$\implies \dfrac{18(v+15)+18v}{v(v+15)}=1$

$\implies 18(v+15)+18v=v(v+15)$

$\implies 18v+270+18v=v^2+15v$

$\implies v^2-21v-270=0$

$\implies (v-30)(v+9)=0$

$\implies v=30, v=-9$

As v is positive, v = 30 only

So the average speed driving to the airport was 30 mph

(and the average speed driving from the airport was 45 mph)

8 0

1 year ago

Read 2 more answers

11. Solve the system of equations.

astraxan [27]

Answer:

x = 0 y = 2

Step-by-step explanation:

4x + 2 = -2x + 2

6x + 2 = 2

6x = 0

x = 0

y = 4(0) + 2

y = 2

6 0

3 years ago