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alexgriva [62]
3 years ago
8

The scale on a map indicates that 1 inch corresponds to an actual distance of 115 miles . Two cities are 7.5 inches apart on the

map . What is the actual distance between the two cities?
Can someone please help me with this question I don’t understand it. Thank you
Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
4 0

Answer:

it is 862.5

Step-by-step explanation:

each inch is 115 miles, so if theres two inches theres double the amount that there would be if there was 1 inch, so if theres 7 inches then you would have 7 times the amount it would be if there was 1 inch, in this situation theres 7.5 so you would multiply the 115 miles by 7.5 becuase that's how many inches there is, so multiplying that is the same as adding 115 plus 115 plus 115, and so on till you get the amount you need. did this help?

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Xelga [282]

Answer:

you need 100ml of 5X TAE and 400ml of water.

Step-by-step explanation:

You need to use a rule of three:

C_1V_1=C_2V_2

where:

\left \{ {{C_1= 5X} \atop {C_2=1X}} \right.

and

\left \{ {{V_1 = V_{TAE}} \atop {V_2=500ml}} \right.

Therefore:

V_{TAE} = \frac{V_2*C_2}{C_1}

V_{TAE} = 100ml

Then just rest the TAE volume to the final Volume and you get the amount of water that you need to reduce the concentration.

3 0
3 years ago
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5 0
4 years ago
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A school survey found that 7 out of 30 students walk to
nika2105 [10]

Answer: 7/145

Step-by-step explanation:

The probability that the first student walks to school will be: = 7/30.

The probability of selecting the second student that walks to school will be: = 6/29.

Then we multiply both together and this will be:

= 7/30 × 6/29

= 7/145

5 0
4 years ago
How many hours would you have to ride your bike at 10 mi/h to burn 550 calories? (Per Minute)
vesna_86 [32]

Answer:

The  time spend to burn energy is 3300 minutes  .

Step-by-step explanation:

Given as :

The speed at which the bike ride = 10 miles per hours

The energy burn while riding = 550 calories

Let The time spend to burn energy = t minutes

So, According to question

Time spend = \dfrac{\textrm Energy burn}{\textrm rate of ride}

i.e t = \dfrac{550}{10} hours

∴  t = 55 hours

So, in minutes

The time spend

1 hours = 60 min

∴ 55 hours = 60 × 55 = 3300 minutes

So, The spend to burn energy = t  = 3300 minutes

Hence The  time spend to burn energy is 3300 minutes  . Answer

4 0
4 years ago
David wants to measure the width of a road
alexira [117]

Answer:

<u>The width of the road =  25.359 m</u>

Step-by-step explanation:

See the attached figure which represents the problem.

The length of AB = 40 m

let the width of the road w.

Construct PC perpendicular to AB, So, the measure of angle C = 90°

∠B = 60° and ∠A = 45°

Let the length of AC = x, so, the length of BC = 40-x

At ΔBCP which is a right triangle at C

tan B = opposite/adjacent = w/(40-x)

w = (40-x) * tan B  ⇒(1)

At ΔACP which is a right triangle at C

tan A = opposite/adjacent = w/x

w = x * tan A  ⇒(2)

from (1) and (2)

(40-x) * tan B = x * tan A

40 tan B - x *tan B = x tan A

40 tan B  = x tan A + x *tan B

40 tan B  = x (tan A + tan B)

x = (40 tan B)/(tan A + tan B) = (40 tan 60)/(tan 60 + tan 45) = 25.359 m

substitute at (2) with x

w = x tan A = 25.359 tan 45 = 25.359 m

<u>So, The width of the road =  25.359 m</u>

8 0
4 years ago
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