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alekssr [168]
2 years ago
11

This morning, Elena wrote a check in the amount of $42.50. This brought her balance down to –$14.25. Suppose n represents Elena'

s balance before she wrote the check.
Which equation can be used to represent this situation?
Mathematics
1 answer:
In-s [12.5K]2 years ago
6 0
N - $42.50 = <span>–$14.25
..............................................</span>
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At a 3​-mile ​cross-country race, an athlete runs 2 miles at 6 mph and 1 mile at 12 mph. What is the​ athlete's average​ speed?
Tom [10]

Answer: the average speed is 7.5 mph or at least im pretty sure

Step-by-step explanation:

This is because if you make the 2 miles at 6 mph to 1 mile at 3 mph then you get 1 mile at 3mph and 1 mile at 12 mph. now that you have the unit rates of these you can add them. 1 + 1 = 2 miles and 3 + 12 = 15 mph now divide this by two and you get 7.5 mph per mile.

I hope this helped, if it did could you give me a good rating? lol

8 0
2 years ago
What is the explicit formula for this sequence -7, -4, -1, 2, 5
Nataliya [291]

Answer:

\large\boxed{a_n=3n-10}

Step-by-step explanation:

It's an arithmetic sequence.

-4-(-7)=-4+7=3\\-1-(-4)=-1+4=3\\2-(-1)=2+1=3\\5-2=3

The difference is constant.

The explicit formula of an arithmetic sequence:

a_n=a_1+(n-1)d

Substitute:

a_1=-7,\ d=3

a_n=-7+(n-1)(3)          <em>use distributive property</em>

a_n=-7+3n-3\\\\a_n=3n+(-7-3)\\\\a_n=3n-10

6 0
3 years ago
A train travels train travels 288 kilometre at a uniform speed. If the speed had been 4 kilometre per hour more it would have ta
kiruha [24]

Answer:

Let the speed of the train be x km/h.

Case 1:

Distance = 288 km

Speed = x km/h

Time = Distance/Speed

= 288/x h

Case 2:

Distance = 288 km

Speed = (x+4) km/h

Time = 288/x + 4 h

Since 288/x > 288/x + 4

288/x - 288/x+4 = 1

288[1/x - 1/x+4 ] = 1

[ x + 4 - x / x(x + 4) ] = 1/288

[4 / x^2 + 4x ] = 1/288

x^2 + 4x = 1152

x^2 + 4x - 1152 = 0

x^2 + 36x - 32x - 1152 = 0

x(x + 36) - 32(x + 36) = 0

(x + 36)(x - 32) = 0

x + 36 = 0 , x - 32 = 0

x = -36 , x = 32

x = -36 , rejected since speed cannot be negative.

Therefore , speed of the train = 32 km/h

4 0
3 years ago
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IgorLugansk [536]

Answer:

That would be 2 pints!1!1!

Step-by-step explanation:


7 0
3 years ago
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Find the value of c using the diagram below
vesna_86 [32]

Check the picture below.


notice that 146° is sitting on a flat-line, and thus it has a sibling linear angle, namely 34°.

now, recalling that a triangle has a sum of 180° for all interior angles, the missing one is 126°, and incidentally that is a corresponding angle with "c".

8 0
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