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Minchanka [31]
3 years ago
6

A map use the scale 3/4 of an inch to represent 3 miles .if the actual distance between two cities is25 miles ,then what is the

length on the map
Mathematics
1 answer:
slega [8]3 years ago
5 0
<h3><em><u>given</u></em><em><u>:</u></em></h3>

<em><u>3</u></em><em><u>/</u></em><em><u>4</u></em><em><u> </u></em><em><u>inch</u></em>

<em><u>3</u></em><em><u> </u></em><em><u>miles</u></em>

<h3><em><u>to</u></em><em><u> </u></em><em><u>find</u></em><em><u>:</u></em></h3>

<em><u>the</u></em><em><u> </u></em><em><u>length</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>map</u></em>

<h3><em><u>solution</u></em><em><u>:</u></em></h3>

<em><u>Based on the given conditions, write: </u></em>

<em><u>x=</u></em><em><u> </u></em><em><u>34</u></em><em><u>/</u></em><em><u> 4 · 25</u></em><em><u>/</u></em><em><u> </u></em><em><u>3</u></em>

<em><u>Write as a single fraction:</u></em>

<em><u>x</u></em><em><u>=</u></em><em><u> </u></em><em><u>3 × 25</u></em><em><u>/</u></em><em><u> </u></em><em><u>4</u></em><em><u>/</u></em><em><u> </u></em><em><u>3</u></em>

<em><u>Divide a fraction by multiplying its reciprocal:</u></em>

<em><u>x</u></em><em><u>=</u></em><em><u> </u></em><em><u>3 x 25</u></em><em><u>/</u></em><em><u> </u></em><em><u>4</u></em><em><u> </u></em><em><u>×</u></em><em><u> </u></em><em><u>1</u></em><em><u>/</u></em><em><u> </u></em><em><u>3</u></em>

<em><u>Write as a single fraction: </u></em>

<em><u>x=</u></em><em><u> </u></em><em><u>3 x 25</u></em><em><u>/</u></em><em><u> </u></em><em><u>4</u></em><em><u> </u></em><em><u>×</u></em><em><u> </u></em><em><u>3</u></em>

<em><u>Reduce fraction to the lowest term by canceling 25 the greatest common factor:</u></em>

<em><u>x</u></em><em><u>=</u></em><em><u> </u></em><em><u>2</u></em><em><u>5</u></em><em><u>/</u></em><em><u>4</u></em>

<em><u>therefore</u></em><em><u>,</u></em><em><u>the</u></em><em><u> </u></em><em><u>length</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>map</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>2</u></em><em><u>5</u></em><em><u>/</u></em><em><u> </u></em><em><u>4</u></em><em><u>.</u></em>

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There are 120 five-digit numbers that can be made from the digits 1, 2, 3, 4, 5 if each digit is used once in the number. That s
Harman [31]

Answer:

41235

Step-by-step explanation:

There are 120 five-digit numbers that can be made from the digits 1, 2, 3, 4, 5 if each digit is used once in the number,

The total number of times where each number will occur or be at first place is calculated as:

4! = 4 × 3 × 2 × 1

= 24

Hence,

24th number = The last number where 1 is at first place

We can write this out as:

12345

12354

12435

12453

12534

12543

13245

13254

13425

13452

13524

13542 e.t.c.

48th number = The last number where 2 is at first place

72nd place = The last number where 3 is at first place.

This means, the 73rd number is the first number where 4 is at first place.

Therefore, the 73rd number based on pattern is 41235

8 0
3 years ago
Sally was walking to Ocean Front Housing Complex, In miles, how far is her distance?
Vanyuwa [196]

Answer:

Sally is 10 miles

The coordinate ofthe deli is (1, -1)

Step-by-step explanation:

✍️Coordinate of Sally = (-3, 2)

Coordinate of Ocean Front = (5, -4)

The distance of Sally to Ocean Front Housing Complex = the distance between point (-3, 2) and (5, -4).

Use the distance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}, to calculate the distance between (-3, 2) and (5, -4):

d = \sqrt{(5 -(-3))^2 + (-4 - 2)^2}

d = \sqrt{(8)^2 + (-6)^2}

d = \sqrt{64 + 36}

d = \sqrt{100} = 10

✅The distance of Sally is 10 miles

✍️the coordinate of Deli would be half the distance between Sally and Ocean Front.

Therefore, use the midpoint formula to calculate the coordinate of the midpoint between Sally (-3, 2) and Ocean Front (5, -4).

Midpoint of (-3, 2) and (5, -4).

M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})

Plug in the values

M(\frac{-3 + 5}{2}, \frac{2 +(-4)}{2})

M(\frac{2}{2}, \frac{-2}{2})

M(1, -1)

✅The coordinate ofthe deli is (1, -1)

8 0
3 years ago
Ramiya is using the quadratic formula to solve a quadratic equation. Her equation is x = after substituting the values of a, b,
Stels [109]

Answer:

this is the answer

0 = x2 + 3x + 2

Step-by-step explanation:


3 0
3 years ago
Help me please help ASAP please I will mark brainliest if I can
Over [174]

Answer:

60-9pi if you need that rounded then 31.73

Step-by-step explanation:

10*6= 60

the two semi circles make one full circle. a circle formula is pi*r^2 = pi*3^2= 9pi

then subtract 9pi from 60

60-9pi = 31.73

8 0
3 years ago
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An angelfish was 1 1/2 inches long when it was bought. Now it is 2 1/3 inches long.
____ [38]

A)

Earlier, The length of the angelfish  = 1 \frac{1}{2} inches

Now, the length of angelfish = 2 \frac{1}{3} inches

We have to determine the grown length of angelfish

=  2 \frac{1}{3} -  1 \frac{1}{2}

= \frac{7}{3}- \frac{3}{2}

LCM of '2' and '3' is '6',

= \frac{14-9}{6}

= \frac{5}{6} inch

Therefore, the angelfish has grown by \frac{5}{6} inch.

B)

We have to determine the increased length of angelfish in feet.

Since 1 inch = \frac{1}{12} foot

So, \frac{5}{6} inch = \frac{5}{6} \times \frac{1}{12} = \frac{5}{72}

= 0.069 foot.

7 0
3 years ago
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