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garik1379 [7]
3 years ago
10

A 30-mi. stretch of highway has markers every 0.2 mi. The first marker is at the 0.2 mi. mark and the last marker is at the end

of the highway at the 30 mi. mark. If n is the number of markers, which equation is true?
A. 30 • 0.2 = n
B. 30 • 0.5 = n
C. 30 • n = 0.2
D. 30 ÷ 0.2 = n
Mathematics
1 answer:
Marysya12 [62]3 years ago
8 0
I think the answer is D. n=150
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Two friends board an airliner just before departure time. There are only 11 seats left, 4 of which are aisle seats. How many way
Vadim26 [7]

Using the Fundamental Counting Theorem, it is found that:

The 2 people can arrange themselves in 40 ways.

<h3>What is the Fundamental Counting Theorem?</h3>

It is a theorem that states that if there are n things, each with n_1, n_2, \cdots, n_n ways to be done, each thing independent of the other, the number of ways they can be done is:

N = n_1 \times n_2 \times \cdots \times n_n

With one people in the aisle and one in the normal seats, the parameters are:

n1 = 4, n2 = 7

With both in the aisle, the parameters is:

n1 = 4, n2 = 3

Hence the number of ways is:

N = 4 x 7 + 4 x 3 = 28 + 12 = 40.

More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866

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8 0
2 years ago
Segments AB and CD coincide.
Westkost [7]

Answer: it’s the first one

Step-by-step explanation:

7 0
2 years ago
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Let x and y be two positive numbers whose sum is 175 and (x+3)(y+4) is a maximum
Vaselesa [24]

Answer:

Step-by-step explanation:

x+y = 175

y = 175 - x

f(x) = (x+3)(y+4)

= x(175-x) + 3(175-x) + 4x + 12

= 175x - x² + 525 - 3x + 4x + 12

= -x² +176x + 537

f'(x) = -2x + 176

maximum when x = 88

y = 175-x = 87

4 0
2 years ago
Help please!!!!!!!!!!!!!!!
drek231 [11]
The original side length was 12m therefore the perimeter was 36m. 12/4 is 3 so the perimeter is now 9, and the difference between them is 27.
4 0
2 years ago
Solve the compound inequality 7x &gt; –35 and 3x ≤ 30.
docker41 [41]

Answer:

x>-5 x ≤10

Step-by-step explanation:

-35/7=-5

7x/7=x

3x/3=x

30/3=10

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2 years ago
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