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d1i1m1o1n [39]
3 years ago
14

At the gym, Hillary swims every 6 days and runs every 4 days. If she did both activities today, in how many days will she do bot

h activities again on the same day?"
Mathematics
1 answer:
natulia [17]3 years ago
7 0

Answer:

we know that

Hillary

swims every 6 days---> Multiples of 6---> 6-12-18-24-30-36-42-48-54

runs every 4 days-----> Multiples of 4----> 4-8-12-16-20-24-28-32-36-40-44-48

cycles every 16 days---> Multiples of 16---> 16-32-48-64

therefore

In 48 days she will do all three on the same day.

the answer is

48 days

Step-by-step explanation:

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The mean of five numbers 3,7,9,12, and x is 8. Find the value of x
jeyben [28]
Answer:  " x = 9 "  .
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Explanation:
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To calculate the mean:
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The mean = 

     {the sum of all the values in the number set} ÷ 

     {the number of values in the data set} ;
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 To solve for "x" ;
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Given that the "mean" is:  "8" ;
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            8  =  { 3 + 7 + 9 + 12 + x }  /  5  ;
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    ↔  { 3 + 7 + 9 + 12 + x }  /  5   =  8  ;
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            →  { 3 + 7 + 9 + 12 + x }  = 8 * 5  ;
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            →  { 31 + x } = 40  ;
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            ↔   x + 31  = 40  ;
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       Subtract "31" from EACH SIDE of the equation; to isolate "x" on one side of the equation; and to solve for "x" ;
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            →   x + 31 − 31  =  40 − 31  ;

                       →  x = 9  .
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7 0
3 years ago
Quadrilateral ABCD with vertices A(0, 6), B(-3, -6), C(-9, -6), and D(-12, -3): a) dilation with scale factor of 1/3 centered at
Oksanka [162]

a) The points of the new quadrillateral are A'(x,y) = (0, 2), B'(x,y) = (-1, -2), C'(x,y) = \left(-3,-2\right) and D'(x,y) = (-4, -1), respectively.

b) The points of the new quadrillateral are A'(x,y) = (-5, 5), B'(x,y) = (-8,-7), C'(x,y) = (-13, -7) and D'(x,y) = (-17, -4), respectively.

<h3>How to perform transformations with points</h3>

a) A dillation centered at the origin is defined by following operation:

P'(x,y) = k\cdot P(x,y) (1)

Where:

  • P(x,y) - Original point
  • P'(x,y) - Dilated point.

If we know that k = \frac{1}{3}, A(x,y) = (0,6), B(x,y) = (-3,-6), C(x,y) = (-9, -6) and D(x,y) = (-12, -3), then the new points of the quadrilateral are:

A'(x,y) = \frac{1}{3}\cdot (0,6)

A'(x,y) = (0, 2)

B'(x,y) = \frac{1}{3} \cdot (-3,-6)

B'(x,y) = (-1, -2)

C'(x,y) = \frac{1}{3}\cdot (-9,-6)

C'(x,y) = \left(-3,-2\right)

D'(x,y) = \frac{1}{3}\cdot (-12,-3)

D'(x,y) = (-4, -1)

The points of the new quadrillateral are A'(x,y) = (0, 2), B'(x,y) = (-1, -2), C'(x,y) = \left(-3,-2\right) and D'(x,y) = (-4, -1), respectively. \blacksquare

b) A translation along a vector is defined by following operation:

P'(x,y) = P(x,y) +T(x,y) (2)

Where T(x,y) is the transformation vector.

If we know that T(x,y) = (-5,-1), A(x,y) = (0,6), B(x,y) = (-3,-6), C(x,y) = (-9, -6) and D(x,y) = (-12, -3),

A'(x,y) = (0,6) + (-5, -1)

A'(x,y) = (-5, 5)

B'(x,y) = (-3, -6) + (-5, -1)

B'(x,y) = (-8,-7)

C'(x,y) = (-9, -6) + (-5, -1)

C'(x,y) = (-13, -7)

D'(x,y) = (-12,-3)+(-5,-1)

D'(x,y) = (-17, -4)

The points of the new quadrillateral are A'(x,y) = (-5, 5), B'(x,y) = (-8,-7), C'(x,y) = (-13, -7) and D'(x,y) = (-17, -4), respectively. \blacksquare

To learn more on transformation rules, we kindly invite to check this verified question: brainly.com/question/4801277

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Jamie has $37 and he's a bank account on Sunday the table shows his account activity for the next 4 days what was the balance in
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Answer:

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Step-by-step explanation:


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A. 4 dimes and 1 penny because it equal 41 cents, 7 nickels and 6 pennies equal 41 cents too
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Question 2 i have no idea with functions
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Answer:

the range of all the function is [-1, + infinity[

but when it limits the domain it gonna be

(-1,0,3,8)

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3 years ago
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