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MAVERICK [17]
3 years ago
15

mr chu is slicing 4 cantaloupes for his class . There are 24 students in the class. If he cuts the cantal to make an equal porti

on for each student how much of a whole cantal will each student get
Mathematics
1 answer:
HACTEHA [7]3 years ago
4 0
1/6 because 4/24 simplifies to 1/6
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Using the 3 functions below, make the desired transformation(s) to the correct function and describe the transformation(s). Writ
Eduardwww [97]

Answer:

The transformation of g(x) to k(x) consists in a vertical translation. The new equation is k(x) = -12\cdot x-6.

Step-by-step explanation:

Let g(x) = -12\cdot x - 3. We proceed to make the required transformations on g(x), which consists in one vertical translation, 3 units in the -y direction. That is to say:

k(x) = g(x) - 3 (1)

k(x) = (-12\cdot x - 3) - 3

k(x) = -12\cdot x-6

Then, the transformation of g(x) to k(x) consists in a vertical translation. The new equation is k(x) = -12\cdot x-6.

5 0
3 years ago
Solve the following system of equations algebraically:<br> y = x2 - 6x + 9<br> y = -9x + 19
Ratling [72]
{(-5,64), (2,1)}

linear equation: y = -9x + 19
quadratic equation: y = x² - 6x + 9

Substitute the y in the quadratic equation by the its value in the linear equation.

-9x + 19 = x² - 6x + 9
      -  19               - 19    *subtract 19 to both sides
-9x         = x² - 6x -10
+9x              + 9x            *add 9x to both sides
0            = x² + 3x - 10
0            = (x + 5) (x - 2) *Factor

Set each factor = 0 and solve
x + 5 = 0    ;      x - 2 = 0
x = -5         ;      x = 2

Find the corresponding value of y using the linear equation.
y = -9x + 19

x = -5                              x = 2
y = -9(-5) + 19               y = -9(2) + 19
y = 45 + 19                    y = -18 + 19
y = 64                            y = 1

(-5,64)                              (2,1)

Check each value on each equation.
y = x² - 6x + 9
(-5,64)                                                  (2,1)
64 = (-5)² - 6(-5) + 9                          1 = 2² - 6(2) + 9
64 = 25 + 30 + 9                                1 = 4 - 12 + 9
64 = 64                                               1 = 1

y = -9x + 19
64 = -9(-5) + 19                                  1 = -9(2) + 19
64 = 45 + 19                                      1 = -18 + 19
64 = 64                                              1 = 1

{(-5,64), (2,1)}

3 0
3 years ago
Express 24.357 in words.<br> Write the expanded form using fractions or decimals.
Lelechka [254]

Answer:

Twenty-four and three hundred fifty-seven thousandths.

Step-by-step explanation:

The expanded form of 24.357 in decimals is 24.3757 because it is already in it's decimal form.

The expanded form of 24.357 in fractions is 24.357. It is a fraction in decimal form rather than in the form of a ratio. However, that does not stop it being a fraction:\frac{24357}{1000}.

4 0
3 years ago
If you earn 15% on your investment how long will it take for your money to double using the rule of 72
navik [9.2K]

Answer:

If you earn 15% the answer will be 10.8

Step-by-step explanation:

I know this because if you use the rule of 72 you will have to divide the two numbers together and the you will come out with 10.8

7 0
3 years ago
Simplify fraction for 10/25
natulia [17]


2/5

5 goes into 10 2 times and into 25 5 times

5 0
3 years ago
Read 2 more answers
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