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Natalka [10]
3 years ago
9

If georgina travels 355 km in 7 hours how far will she travel in 8.5 hours at the same rate

Mathematics
1 answer:
rosijanka [135]3 years ago
6 0
She'll have traveled approximately 431.07 km in 8.5 hours, also, 267.85448 miles per hour.
You might be interested in
Which system of linear inequalities is graphed?
ANEK [815]

To determine the system of inequality that has been graphed, we need to be very smart.


Observe that all the equations are the same.


Also note that all the lines are solid. This should tell you that the inequities should involve.


\ge \:or\: \le



Therefore the answer is between option A and B.



So we choose a point in the solution region to discriminate between A and B.


Let us choose the origin since that is easy to evaluate.


We substitute into option A to get.

y\le 3x-1\:and\: x+ 3y \ge 6




0\le 3(0)-1\:and\: 0+ 3(0) \ge 6




0\le -1\:and\: 0\ge 6


The above statements are false



We now substitute into option B



y\ge 3x-1\:and\: x+ 3y \le 6




0\ge 3(0)-1\:and\: 0+ 3(0) \le 6




0\ge-1\:and\: 0 \le 6


Both statements are true, therefore the correct answer is option B.




8 0
3 years ago
Every prime number greater than 10 has a digit in the ones place that is include in wich set of numbers A- 1,3,7,9 B-1,3,5,9 D-1
marta [7]

That's very interesting.  I had never thought about it before.
Let's look through all of the ten possible digits in that place,
and see what we can tell:

-- 0:
   A number greater than 10 with a 0 in the units place is a multiple of
   either 5 or 10, so it's not a prime number.

-- 1:
    A number greater than 10 with a 1 in the units place could be
    a prime (11, 31 etc.) but it doesn't have to be (21, 51).

-- 2:
   A number greater than 10 with a 2 in the units place has 2 as a factor
   (it's an even number), so it's not a prime number.

-- 3:
   A number greater than 10 with a 3 in the units place could be
   a prime (13, 23 etc.) but it doesn't have to be (33, 63) .

-- 4: 
   A number greater than 10 with a 4 in the units place is an even
   number, and has 2 as a factor, so it's not a prime number.

-- 5:
   A number greater than 10 with a 5 in the units place is a multiple
   of either 5 or 10, so it's not a prime number.

-- 6:
   A number greater than 10 with a 6 in the units place is an even
   number, and has 2 as a factor, so it's not a prime number.

-- 7:
   A number greater than 10 with a 7 in the units place could be
   a prime (17, 37 etc.) but it doesn't have to be (27, 57) .

-- 8:
   A number greater than 10 with a 8 in the units place is an even
   number, and has 2 as a factor, so it's not a prime number.

-- 9:
   A number greater than 10 with a 9 in the units place could be
   a prime (19, 29 etc.) but it doesn't have to be (39, 69) .

So a number greater than 10 that IS a prime number COULD have
any of the digits  1,  3,  7,  or  9  in its units place.

It CAN't have a  0,  2,  4,  5,  6,  or  8 .

The only choice that includes all of the possibilities is  'A' .

4 0
3 years ago
Rocco is doing an internship with a local carpenter. He is making $11.50 per hour.
SSSSS [86.1K]

Answer:

1. 76.5 days     2. $57.69 per day

Step-by-step explanation:

4 0
3 years ago
Remer<br> 1) 5k? + 10k + 6 = 0
IceJOKER [234]

Ignoring the "?" in your question:

5k+10k+6=0 \iff 15k+6=0 \iff k=-\dfrac{6}{15}

If the "?" is a squared symbol that wasn't caught:

5k^2+10k+6=0

Use the quadratic formula

x_{1,2}=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

to get the solutions:

x_{1,2}=\dfrac{-10\pm\sqrt{100-120}}{10}

as you can see, the discriminant is negative, so the equation has no solution.

6 0
3 years ago
What is the radius of a circle with a central angle of 4π7 radians that intercepts an arc of length 12π inches?
SCORPION-xisa [38]
Radian measure is given by dividing the length of an arc by the radius of a given circle. Such that an arc that subtends an angle of 1 radian to the center of a circle is equivalent to the radius of the circle. 
Therefore; θ = s/r where θ is the angle subtended in radians, s is the length of the arc and r is the radius of the circle.
Hence; r = s/θ
               =  12π ÷ (4π/7)
               = 12 × (7/4)
               = 21 inches
3 0
3 years ago
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