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Whitepunk [10]
4 years ago
11

Latoya is on her way home in her car. She has driven 30 miles so far, which is five-sixths of the way home. What is the total le

ngth of her drive?
Mathematics
2 answers:
Kitty [74]4 years ago
7 0

Answer:

36

Step-by-step explanation:

5/6 of x = 30 miles

Multiply each side by 6 to get rid of the fraction

5x = 180

Divide each side by 5

x = 36

babymother [125]4 years ago
3 0
Did this incorrectly, see the correct way to do it above!
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RideAnS [48]
Hope any of this helps

7 0
3 years ago
Find the sum of the measures of the interior angles of each of the following convex polygons: a pentagon, an octagon, a dodecago
TiliK225 [7]

Answer:

540^{\circ},\ 1080^{\circ},\ 1800^{\circ},\ 6840^{\circ},\ 9000^{\circ},\ 17640^{\circ}

Step-by-step explanation:

The sum of the measures of the interior angles of each convex n-sided polygon is always equal to

(n-2)\cdot 180^{\circ}.

1. A pentagon is 5-sided polygon, then the sum of the measures of the interior angles of pentagon is

(5-2)\cdot 180^{\circ}=540^{\circ}.

2. An octagon is 8-sided polygon, then the sum of the measures of the interior angles of octagon is

(8-2)\cdot 180^{\circ}=1080^{\circ}.

3. A dodecagon is 12-sided polygon, then the sum of the measures of the interior angles of dodecagon is

(12-2)\cdot 180^{\circ}=1800^{\circ}.

4. For 40-sided polygon the sum of the measures of the interior angles is

(40-2)\cdot 180^{\circ}=6840^{\circ}.

5. For 52-sided polygon the sum of the measures of the interior angles is

(52-2)\cdot 180^{\circ}=9000^{\circ}.

6. For 100-sided polygon the sum of the measures of the interior angles is

(100-2)\cdot 180^{\circ}=17640^{\circ}.

5 0
3 years ago
How do I solve this linear system using the elimination method?
kipiarov [429]

Answer:

Solution: x=4, y = \frac{5}{2}

Step-by-step explanation:

<u>System of Equations</u>

Solve the system:

x + 4y = 14

3x - 2y = 7

using the elimintation method.

To use the elimination method, we must add or subtract both equations in such a way that one of the variables goes away, and only one remains.

It requires to multiply one of them by a specific factor to match the coefficients. For example, multiply the first equation by -3:

-3x - 12y = -42

And add it to the second:

3x - 2y = 7

To result:

-14y = -35

Divide by -14:

y = -35/(-14)

Simplifying:

y = \frac{5}{2}

Now calculate x:

x = 14 - 4*\frac{5}{2}

x = 14-10

x=4

Solution: x=4, y = \frac{5}{2}

7 0
3 years ago
Write an<br> explicit formula for an, the nth term of the sequence 39, 43, 47, ....
Inga [223]

9514 1404 393

Answer:

  an = 39 +4(n -1)

Step-by-step explanation:

The formula for the general term of an arithmetic sequence is ...

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Here, the sequence has first term a1 = 39 and common difference d = 43-39 = 4. So, the general term is ...

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3 0
3 years ago
Turn 42/12 into a mixed number
bulgar [2K]
Start by simplifying by dividing both numerator and denominator ;
21/11
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8 0
3 years ago
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