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Bogdan [553]
3 years ago
15

Dawn and lin took off on skateboards from the same location but traveled in opposite directions. After 20 minutes, Dawn had trav

eled 6.42 kilometers and lin had traveled 7.7 kilometers. How far apart were they?
Mathematics
1 answer:
julia-pushkina [17]3 years ago
4 0

Answer:

14.12 km

Step-by-step explanation:

Distance of Dawn = 6.42 km

Distance from Lin = 7.7 km in the opposite direction.

If they went in opposite directions then they were moving away from each other.

Therefore, the final distance between the two can be written as follows:

d = 6.42 + 7.7 = 14.12 km

After 20 minutes Dawn and Lin were 14.12 km away.

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Determine between which consecutive integers the real zeros of f(x) = 2x - 5x+1 are located.
LuckyWell [14K]

Answer:

between 0&1 and 2&3

Step-by-step explanation:

(Assuming that f(x) = 2x^2 - 5x + 1)

To solve this question we just need to find the zeros of the function f(x), and we do that by making f(x) = 0 and finding the values of x:

2x^2 - 5x + 1 = 0

Now we can use Bhaskara's formula:

Delta = b^2 - 4ac = 25 - 4*2 = 17

sqrt(Delta) = 4.12

x1 = (5 + 4.12) / 4 = 2.28

x2 = (5 - 4.12) / 4 = 0.22

the zero x1 = 2.28 is between 2 and 3, and the zero x2 = 0.22 is between 0 and 1, so the answer is 'between 0&1 and 2&3'

As the options A, B, C and D are not clear in the question text, you can just mark the option that has this result.

3 0
3 years ago
Solve the equation for the given variable. justify each step.
s344n2d4d5 [400]

Answer: y=\frac{5-9x}{2}

s=-30+10t

Step-by-step explanation:

9x + 2y = 5; y

9x-9x+2y = 5-9x

2y=5-9x

y=\frac{5-9x}{2}

1/15s - 2/3t = -2; s

(1/15s - 2/3t = -2)*15     ==> Get rid of fraction by multiplying both sides by 15

s - 30/3 t=-30

s-10t=-30

s=-30+10t

5 0
2 years ago
What is the value of p?
asambeis [7]

Answer:94°

Step-by-step explanation:

The sum of the interior angles of the polygon: 180°(n-2)

180°(5-2)=540°

The sum of the interior angles of the pentagon is 540°

So:

P+Q+R+S+T=540°

(4x+2)°+132°+(4x-10)°+(5x-11)°+128°=540°

4x+2+4x-10+5x-11+260=540

13x=299

x=23°

P=4x+2°=4×23°+2°=94°

7 0
3 years ago
Bruce collects stamps. He collected a total of 250 stamps. If 72% of the stamps he collected were foreign, how many other stamps
mestny [16]

Answer:

He collected 180 other stamps

Step-by-step explanation:

Sorry if it's wrong

5 0
3 years ago
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If you have a 19 year old in 2021 how old would that nineteen-year-old be in 2050 ​
maxonik [38]
I’m pretty sure it’s 48
6 0
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