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Yanka [14]
2 years ago
9

Italian Tours offers a daily sightseeing trip around Florence. The list below gives the number of people who made the trip for a

selection of summer days.
27, 56, 64, 36, 40, 29, 27, 56, 30

Find the range of the data set.
Mathematics
1 answer:
den301095 [7]2 years ago
4 0

Answer:

37

Step-by-step explanation:

Highest - lowest = range

64-27= 37

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Find the value of k so that 48x-ky=11 and (k+2)x+16y=-19 are perpendicular lines.
Rufina [12.5K]

Answer: k = -1 +/- √769

<u>Step-by-step explanation:</u>

48x - ky = 11

<u>-48x        </u>  <u> -48x</u>

         -ky = -48x + 11

         \frac{-ky}{-k} = \frac{-48x}{-k} + \frac{11}{-k}    

           y =\frac{48x}{k} - \frac{11}{k}

Slope: \frac{48}{k}

*************************************************************************

 (k + 2)x + 16y = -19

<u>- (k + 2)x          </u>   -<u>(k + 2)x </u>

                 16y = -(k + 2)x - 19

                  \frac{16y}{16} = -\frac{(k + 2)x}{16} - \frac{19}{16}

                  y = -\frac{(k + 2)x}{16} - \frac{19}{16}

Slope: -\frac{(k + 2)}{16}

**********************************************************************************

\frac{48}{k} and -\frac{(k + 2)}{16} are perpendicular so they have opposite signs and are reciprocals of each other.  When multiplied by its reciprocal, their product equals -1.

-\frac{(k + 2)}{16} *  \frac{k}{48} = -1

\frac{(k + 2)k}{16(48)} = 1

Cross multiply, then solve for the variable.

(k + 2)(k) = 16(48)

k² + 2k - 768 = 0

Use quadratic formula to solve:

k = -1 +/- √769



5 0
3 years ago
Math how many models of 100 do u need to to model 3,200 explain
Keith_Richards [23]
32 because 32 x 100 = 3,200
4 0
3 years ago
5 1/8+5/6+5/12=6.375 what is 6.375 as a fraction? A 6 3/4. B.6 3/8. C6 3/12. D 6 3/24 please help
vovikov84 [41]
B. 6 3/8
How do we get this? Simple:
6.375--->We already know that 6 will be the whole number in the mixed fraction.

We then move on to represent the decimal part as the fraction. 375 will be the numerator. The denominator depends on how many  decimal places we have (3 in this case, since there are 3 numbers after the period--375). Each decimal place represents a 10 (or a 0 after the 1). So we get that our denominator will be a 1000.

We get the following fraction
6 375/1000

We simplify. Let's start by dividing numerator and denominator by 5:
6 75/200

Let's divide by 5 again:
6 15/40

Let's divide by 5 again:
6 3/8

Or we could have divide by 125 from the  get go and get the same results.

3 0
3 years ago
Which of the following sets of numbers could not represent the three sides of a right
mario62 [17]

Answer:

The answer is (13,48,50)

5 0
2 years ago
Another one help please
guapka [62]

there must be subtraction of multiplication of each two diagonal,

|G|=[12×2-(-6)×0]

=(24+0)

=24ans

8 0
3 years ago
Read 2 more answers
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