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iragen [17]
3 years ago
9

The lockers at Smith High School are numbered 1-1000. Seth starts at the beginning and opens the even numbered lockers. Tacoda t

hen starts at the beginning and opens all numbers that are multiples of 2. Lastly, Brady starts at the beginning and opens all numbers that are multiples of 5. Which is the first locker that Brady is supposed to open that is already open?
A) 10
B) 15
C) 30
D) 60
Mathematics
1 answer:
AnnyKZ [126]3 years ago
4 0
The answer is 10
I'm going to list the locker numbers by round:
Evens) 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, etc.
2's) 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, etc.
5's) 5, 10, 15, 20, 25, 30, 35, 40, etc.
The first number to repeat is 10, so that would be the first locker Brandy opens.
Hope this helped :)
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What is the distance between Harry’s home and his office?
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Answer:

The distance between Harry’s home and his office? is 15 miles.

Step-by-step explanation:

The speed, distance time formula is:

Speed(s)=\frac{Distance(d)}{Time(t)}

Given:

Speed (<em>s</em>) = 30 miles/hour

Then the relation between distance and time is:

s=\frac{d}{t} \\30=\frac{d}{t}\\d=30t...(i)

If Speed was 60 miles/hour the time taken is (t-\frac{1}{4}) hours.

Then the relation between distance and time is:

s=\frac{d}{t} \\60=\frac{d}{(t-\frac{1}{4}) }\\d=60t-15...(ii)

Use the value of <em>d</em> = 30t in (ii)

<em />d=60t-15\\30t=60t-15\\30t=15\\t=\frac{1}{2} hour<em />

Determine the distance as follows:

d=30t\\=30\times\frac{1}{2} \\=15\ miles

Thus, the distance between Harry’s home and his office? is 15 miles.

5 0
4 years ago
In the diagram below, AB is parallel to CD. What is the value of x?
garik1379 [7]

The correct answer is: Option (D) x = 72°

Explanation:

When two lines are crossed by another line, the angles in matching corners are called <em>corresponding angles</em>. When the two lines are <em>parallel</em>, the corresponding angles are <em>equal</em>.

Here in this case, the two lines are "AB" and "CD", and both are parallel and are crossed by the line; therefore, <em>the corresponding angles will be the same</em>.

Since the first corresponding angle is 72°, the second angle <em>x </em>will be 72° as well. The correct answer is: x = 72° Option (D).

8 0
3 years ago
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Juli2301 [7.4K]

Answer:

The domain of the function should be:

'x greater than or equal to negative -5'.

Hence, option A is true.

Step-by-step explanation:

Given the expression

2\sqrt{x-5}

The domain of a function is the set of input or arguments for which the function is real and defined

We know that the value, inside the radicand, is the number found inside a radical symbol which must be greater than 0, otherwise, it would make the function undefined,

i.e.

x-5 ≥ 0

x ≥ 5

In other words, the domain of the function should be:

'x greater than or equal to negative -5'.

Therefore, the domain of the function:

x ≥ 5

\mathrm{Domain\:of\:}\:2\sqrt{x-5}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:5\:\\ \:\mathrm{Interval\:Notation:}&\:[5,\:\infty \:)\end{bmatrix}

Hence, option A is true.

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