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Veronika [31]
3 years ago
12

You went to Disney World by car. The trip there took 6 hours. On the way home, people were evacuating for a possible hurricane s

o your speed decreased by 20 m/hr and it took 10 hours to get home. How fast was the car going on the way there? How fast was it going on the way back home?
Mathematics
1 answer:
slavikrds [6]3 years ago
3 0

Answer:

a) on the way there, the speed = 50 m/hr

b) on the way back home, speed = 30 m/hr

Step-by-step explanation:

speed (s) = \frac{distance(d)}{time(t)} \\distance = speed\ \times\ time

on the way to Disney land:

distance = d

speed = s

time = t = 6 hours

d = s × t

d = s × 6

d = 6s - - - - - (1)

On the way back:

speed decreased by 20m/hr

This means that s₂ = (s - 20)m/hr

time = t₂ = 10 hours

∴ d = s₂ × t₂

d = (s - 20) × 10

d = 10s - 200  - - - - (2)

<em>Note that the distance is the same to and from disney land, therefore, equation (1) equals equation (2)</em>

∴ 6s = 10s - 200

<em>collecting like terms:</em>

10s - 6s = 200

4s = 200

∴ s = 200 ÷ 4

s = 50 m/hr

Therefore on the way there, the car was moving at a apeed of 50m/hr

speed on the way back home (s₂) = (s - 20) m/hr

∴ s₂ = 50 - 20

s₂ = 30 m/hr

Therefore on the way back home the speed was 30 m/hr

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A bag contains 2 yellow marbles and 5 red marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then a
Sergio039 [100]

Answer:

Number of red balls = 5  Number of orange balls = 2

Number of yellow balls = 1

Number of green balls = 2

Therefore total number of balls = 10.

Probability of getting a ball =   P(choosing orange ball) =  After picking an orange ball, we are left with 9 ballsP ( choosing a green ball) = P(choosing an orange marble and a green marble) = 0.04444 is the approximate probability of choosing an orange marble and a green marble.

Step-by-step explanation:

3 0
3 years ago
What’s the correct answer
Trava [24]
I think it’s B but I’m not sure
6 0
3 years ago
Shankar has decided to train to be a Carbucks Barrista. Being young and inexperienced, for every order he makes a mistake in mak
astra-53 [7]

Answer:

Step-by-step explanation:

Since each trial is independent of the other

no of mistakes he does is binomial with p = 1/3

a) the probability that he makes no mistakes on his first 10 orders but the 11th order is a mistake

= (\frac{2}{3}) ^{10} *\frac{1}{3}\\=\frac{2^{10} }{3^{11} }

b) Prob that shanker quits = P(Shankar does I one mistake and Fran does not do the first one)+Prob (Shanker does mistake in the II one while Fran does both right)

= \frac{1*5}{3*6} +\frac{2}{3} \frac{1}{3}(\frac{5}{6})^2  =\frac{5}{18} +\frac{50}{216} \\=\frac{55}{108}

6 0
3 years ago
Liang bought a basket of apples to make pies for her friends. The basket of apples weighed ppp pounds. Before she had time to ma
Bess [88]

Answer:

The equation to describe the situation is  p-3=17.

And, the total weight of the basket of apples was <u>20 pounds</u>.

Step-by-step explanation:

<u><em>The question is incomplete so, the complete question is below:</em></u>

Liang bought a basket of apples to make pies for her friends. The basket of apples weighed p pounds. Before she had time to make the pies, she ate 3 pounds of apples. There are 17 pounds of apples left to make pies. Write an equation to describe this situation. What was the total weight of the basket of apples?

Now, to write an equation to describe the situation. And to find the total weight of the basket of apples.

So, the basket of apples total weighed = p\ pounds.

Liang ate apples weighed = 3 pounds.

And the apples left for the pies weighed = 17 pounds.

Now, to write an equation describing the situation:

p-3=17.

<u><em>Thus, the equation is </em></u>p-3=17.<u><em /></u>

Now, to get the total weight of the basket of apples:

p-3=17\\\\Adding\ both\ sides\ by\ 3\ we\ get:\\\\p=20

<u><em>Hence, the basket of apples total weighed = 20 pounds.</em></u>

Therefore, the equation to describe the situation is p-3=17.

And, the total weight of the basket of apples was 20 pounds.

4 0
3 years ago
It’s for question number 2 and please help I would really appreciate that
motikmotik

Answer:

Step-by-step explanation:

Ok so first, you need to do 2.5 - 1.125.

Make 2.5--->2.500

Subtract: 2.500

                1.125

             =1.375 liters

           

3 0
3 years ago
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