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defon
3 years ago
14

Given a dilation with the origin O (0, 0), by observation determine the scale factor "K."

Mathematics
2 answers:
timurjin [86]3 years ago
7 0
15 is 3 times 5. The point (5, 0) is dilated to the point (15, 0) by using a factor of
  K = 3.
jeka943 years ago
7 0

Answer:

The correct option is <u>b) 3</u>

Step-by-step explanation:

A dilation with the origin O (0, 0),

DO, K = (5, 0) (15, 0)

we need to determine the scale factor "K"

Since, 15 is 3 times of 5.

The point (5, 0) is dilated to the point (15, 0) by using a determine the scale factor of K = 3.

Therefore, the correct option is <u>b) 3</u> .

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Terry wants to divide his 120 baseball cards into two groups, so that the ratio of the number of cards in the first group to the
Naddik [55]
Let the number of cards in each group be 2x and 3x.
So,
2x + 3x = 120
5x = 120
x = 120 / 5
x = 24
Number of cards in each group is
2x = 2 × 24 = 48
3x = 3 × 24 = 72
7 0
3 years ago
You drive 75 miles and use 3 gallons of gas, at the same ratio, how may miles can you drive with 12 gallons of gas?
umka2103 [35]

When you say "at the same ratio", you mean that you consume the same amount of gas for the same amount of miles.

We know that everytime you drive 75 miles, you use 3 gallons of gas.

Since 12 gallons of gas is four times 3 gallons of gas, if the ratio remains the same, you can drive four times the distance:

You drive 75 miles, and use 3 gallons.

You drive 75 more miles (so you are at 75+75 = 150 miles) and use 3 more gallons, so you use 3+3 = 6 gallons.

You drive 75 more miles (so you are at 150+75 = 225 miles) and use 3 more gallons, so you use 6+3 = 9 gallons.

You drive 75 more miles (so you are at 225+75 = 300 miles) and use 3 more gallons, so you use 9+3 = 12 gallons, and you're done.

4 0
3 years ago
Stumped on a few questions.. Grrrr Will give as many hearts and thanks as possible for right answer!&lt;3 :)
Llana [10]
Th one on the left I wanna say x=16 and the right is x=10
7 0
2 years ago
What is 377,060 written in expanded form using exponents
Zinaida [17]
3x10^5
+7x10^4
+7x10^3
+0x10^2
+6x10^1
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7 0
3 years ago
Determine if the function f(x)=x+4 is increasing or decreasing on the interval of 2≤x≤5. Justify your answer.
Rudik [331]

Step-by-step explanation:

Given

The function is f(x)=x+4

for x_2>x_1, we will check the values of f(x_1) and f(x_2)

Take 3 and 4

f(4)=4+4\\f(4)=8

Similarly,

f(3)=3+4\\f(3)=7

Thus, f(4)>f(3)

Also, f'(x) is 1 i.e. a constant value. So, the function is increasing linearly for the given interval.

7 0
2 years ago
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