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3 years ago

Ebony walked at a rate of 3 1/2 miles per hour for 1 1/3 hours. how far did she walk?

Mathematics

2 answers:

Sedaia [141]3 years ago

5 0

Im wondering the same thing i have this question to

Llana [10]3 years ago

5 0

Answer:

She walked $4\frac{2}{3}$ miles

Step-by-step explanation:

Speed of ebony = $3\frac{1}{2}$ miles/hour

= $\frac{7}{2}$ miles/hour

Time Taken = $1\frac{1}{3}$ hours.

= $\frac{4}{3}$ hours.

We are supposed to find how far did she walk i.e. Distance

Formula : $Distance = Speed \times Time$

$Distance = \frac{7}{2} \times \frac{4}{3}$

$Distance = \frac{14}{3}$

$Distance = 4\frac{2}{3}$

Hence she walked $4\frac{2}{3}$ miles

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Points R, S, and T are collinear, and S is between R and T, in addition, RS = 2x-4, ST = 3x+2, and RT = 13. Find the value of RS

Alex17521 [72]

Answer:

RS = 2

Step-by-step explanation:

Points R, S, and T are collinear, and S is between R and T, in addition, RS = 2x-4, ST = 3x+2, and RT = 13. Find the value of RS

Hence:

RS + ST = RT

2x - 4 + 3x + 2 = 13

2x + 3x - 4 + 2 = 13

5x - 2 = 13

5x = 13 + 2

5x = 15

x = 15/5

x = 3

To find the value of RS

RS = 2x-4

RS = 2 × 3 - 4

RS = 6 - 4

RS = 2

5 0

3 years ago

One Solution, Many (infinite) solutions, No solutions.

tensa zangetsu [6.8K]

Answer:

System A the answer is: One solution

System B the answer is: Many infinite solution

System C the answer is: No solution

Step-by-step explanation:

Hope this helps you :)

3 0

3 years ago

what is the circumference of a circle that has a radius of 8 units use 3.14 (pie) and round to the nearest hundredth

SashulF [63]

Remember that the formula for the circumference, $C$ , of a circle is:

$C = d \pi$

In this case, we are not given the diameter. However, remember that the diameter is equivalent to two times the radius of a circle. Thus,

$d = 2 \cdot 8 = 16$ ,

and we can say the circumference of our circle is:

$C = 16 \cdot 3.14 = 50.24 \,\textrm{units}$

The circumference of our circle is 50.24 units.

Also, a little side note not relating to the question:

Remember that $\pi$ is spelled as "pi" not "pie." Pie is a dessert, while pi is a mathematical constant.

5 0

3 years ago

Solve by factoring: 1) x² + 6x + 8 = 0

Serhud [2]

Answer:

x=-4 x=-2

Step-by-step explanation:

x² + 6x + 8 = 0

x² +2x+4x + 8 = 0

x(x+2)+4(x+2)=0

(x+4)(x+2)

x=-4 x=-2

3 0

3 years ago

Read 2 more answers

A certain restaurant always overbooks. If possible. At 7:00 pm the restaurant can seat 50 parties, but takes reservations for 53

oee [108]

Answer:

The probability that the restaurant can accommodate all the customers who do show up is 0.3564.

Step-by-step explanation:

The information provided are:

At 7:00 pm the restaurant can seat 50 parties, but takes reservations for 53.
If the probability of a party not showing up is 0.04.
Assuming independence.

Let X denote the number of parties that showed up.

The random variable X follows a Binomial distribution with parameters n = 53 and p = 0.96.

As there are only 50 sets available, the restaurant can accommodate all the customers who do show up if and only if 50 or less customers showed up.

Compute the probability that the restaurant can accommodate all the customers who do show up as follows:

$P(X\leq 50)=1-P(X>50)\\=1-P(X=51)-P(X=52)-P(X=53)\\=1-[{53\choose 51}(0.96)^{51}(0.04)^{53-51}]-[{53\choose 52}(0.96)^{52}(0.04)^{53-52}]\\-[{53\choose 53}(0.96)^{53}(0.04)^{53-53}]\\=1-0.27492-0.25377-0.11491\\=0.3564$

Thus, the probability that the restaurant can accommodate all the customers who do show up is 0.3564.

7 0

3 years ago