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Katena32 [7]
3 years ago
10

30 POINTS!!!!!

Mathematics
1 answer:
Talja [164]3 years ago
3 0

Answer:

Find the multiples of each number:

6= 6, 12, 18, 24

9 = 9, 18, 27

The least common multiple is 18, so every 18 minutes they will leave at the same time,

Add 18 minutes to the given time to get 7:21

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Which function has a greater rate of change? Function A: x 1.5 2.5 3.5 4.5 5.5 y 5 0 –5 –10 –15 Function B: y = –4.5x + 15 Funct
expeople1 [14]

Answer:

Function A has a rate of change of -5 and Function B has a rate of change of -4.5, so Function B has a greater rate of

Step-by-step explanation:

Function A:

\begin{array}{cccccc}x & {1.5} & {2.5} & {3.5} & {4.5} & {5.5} \ \\ y & {5} & {0} & {-5} & {-10} & {-15} \ \end{array}

Function B:

y = -4.5x + 15

Required

Which has a greater rate of change

The rate of change of function A is calculated as thus:

m = \frac{y_2 - y_1}{x_2 - x_1}

Where:

(x_1,y_1) = (1.5,5)

(x_2,y_2) = (2.5,0)

So, we have:

m = \frac{0-5}{2.5 - 1.5}

m = \frac{-5}{1}

m = -5

For function B

The general function is:

y = mx + b

Where

m is the rate of change

By comparing y = mx + b to y = -4.5x + 15

m = -4.5

So, we have that:

Function A has a rate of -5; function B has a rate of -4.5.

By comparison: -4.5 is greater than 5

Hence, function B has a greater rate.

4 0
3 years ago
Y=3x+14<br> 2x-3y=-14<br> Substitution method
Montano1993 [528]

Answer:

x = -8

Step-by-step explanation:

y = 3x + 14

2x - 3y = -14

So, what is the substitution? Y of course, this is because y is equal to 3x + 14.

2x - 3 (3x + 14) = -14

Multiply 3 with the numbers in the parentheses.

2x - 9x + 42 = -14

So you maybe be wondering why it is a negative 7 instead of subtracting 9 with 2. Using PEMDAS, we always read from left to right. So it is basically 2 -9 and you get -7.

-7x + 42 = -14

Then subtract 42 from both sides.

-7x + 42 - 42 = -14 - 42

Simplify

-7x = -56

Divide 7 by both sides.

-7x / 7 = -56 / 7

x = -8

And you might ask, why we get x instead afterwards. This is because both -7 and 7 cancel each other out leaving us with x.

4 0
2 years ago
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There are a total of 20 cubes in a box. There are 8 red cubes, 6 green cubes, 4 orange cubes, and 2 yellow cubes. What is the pr
natita [175]
Green = 6
Yellow = 2

6 + 2 = 8

8/20 can be simplified to 2/5
8 0
1 year ago
What is the following product in simplified form?
erastova [34]

Answer:

a

Step-by-step explanation:

because I just think its a

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Tim plans to spend 40 hours on exercise training to earn a private trainer license. He has saved $2,000
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Answer:

round it then divide it by 5

Step-by-step explanation:

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