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ludmilkaskok [199]
2 years ago
11

On a map to cities are about 50 mm apart if the scale is 1 cm equals 15.5 miles how far apart are the two cities

Mathematics
1 answer:
Mademuasel [1]2 years ago
4 0

Given:

On a map to cities are about 50 mm apart.

Scale is 1 cm equals 15.5 miles.

To find:

The distance between two cities.

Step-by-step explanation:

We have,

1 cm = 15.5 miles

It means

10 mm = 15.5 miles             [1 cm = 10 mm]

Now,

10 mm on a map = 15.5 miles

1 mm on a map = \dfrac{15.5}{10} miles

                          = 1.55 miles

50 mm on a map = 50 × 1.55 miles

                            = 77.5

Therefore, the two cities are 77.5 miles apart.

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AleksAgata [21]

Answer:

The answer is below

Step-by-step explanation:

A) i)

For Anna initially, she has $0 from making 0 envelopes. After making 400 envelopes she has $20. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (400, 20). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{20-0}{400-0}(x-0)\\\\y=\frac{1}{20} x

The table is:

x:   200     400       600     800     1000

y:    10        20          30        40       50

ii)

For Jason initially, he has $0 from making 0 envelopes. For every 250 envelopes he has $10. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (250, 10). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{10-0}{250-0}(x-0)\\\\y=\frac{1}{25} x

The table is:

x:   200     400       600     800     1000

y:    8         16           24        32       40

The graph is plotted using geogebra online graphing

b) From the table above we can see that Anna makes more stuffing than Jason.

c) Anna has a savings of $100. Hence this can be represented by the points (0, 100) and (250, 10). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-100=\frac{20-0}{400-100}(x-0)\\\\y=\frac{1}{15} x+100

We can see from the graph that there is a y intercept at 100. That is the earnings starts from 100.

The equation of a line is given as y = mx + b, where m is the slope and b is the y intercept (initial value)

For the first graph, the slope is 1/20 and the initial value is 0 while for the second graph the slope is 1/15 and the initial value is 100

D) The line pass through (10, 10) and (100, 40), hence:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-10=\frac{40-10}{100-10}(x-10)\\\\y-10=\frac{1}{3} (x-10)\\\\y=\frac{1}{3}x+\frac{20}{3}

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What is the area of a rectangle whose side lengths are o and g?
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Answer:

Area=Base length x Height

Area= O x g.

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In the video, the water level was 15 milliliters before adding the chain, and 20 milliliters after adding the chain. When I weig
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Answer:

  • 39.7%

Explanation:

<u />

<u>1. First find the density of your chain</u>

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                      = Volume of Final level of water - initial level of water

                     = 20 ml - 15 ml = 5 ml

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<u />

<u>2. Second, write the denisty of the chain as the weighted average of the densities of the other metals:</u>

Mass of gold × density of gold + mass of other metals × density of other metals, all divided by the mass of the chain.

Calling x the amount of gold, then the amount of other metals is 66.7 - x:

        \dfrac{19.3\cdot x+9.7\cdot (66.7-x)}{66.7}=13.34

       19.3x+635.66-9.7x=889.778

      9.6x=254.118\\\\x=26.47

Then, there are 26.47 grams of gold in 66.7 grams of chain, which yields a percentage of:

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Triangle ABC has side lengths of 4 units, 7 units, and 5 units. Use the Converse of the Pythagorean Theorem to prove that ABC is
zaharov [31]

Answer:

3

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1

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4

41 ≠ 49

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Step-by-step explanation:

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2 years ago
Which point below is a solution to the equation y = 2x + 3?
Anastasy [175]

Answer:

C (37, 77)

Step-by-step explanation:

<h3>Option A:</h3>

291=2(145)+3\\\\291=290+3\\\\\boxed{291\neq 293}

Option A is not a solution.

<h3>Option B:</h3>

163=2(78)+3\\\\163=156+3\\\\\boxed{163\neq 159}

Option B is not a solution.

<h3>Option C:</h3>

77=2(37)+3\\\\77=74+3\\\\\boxed{77=77}

Option C is a solution.

Hope this helps.

6 0
3 years ago
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