This table shows the time it took a group of students to complete a quiz

Phil strung two sets of lights around the window of his store. The first set of lights blinks every 30s and the second every 45s

Amiraneli [1.4K]

Answer:

Every 90 seconds, the two sets of light blink together.

Step-by-step explanation:

Given that there are two sets of lights.

First light blinks at every 30s and

Second light blinks at every 45s

To find:

How often the sets of lights blink together?

Solution:

As per given statement,

First light blinks after 30s, 60s, 90s, 120s, 150s, 180s, ........

Second light blinks after 45s, 90s, 135s, 180s, .....

If we look at the common time, shown by underlining it, the two sets of light blink at the same time after 90s, 180s, ...... and so on.

So, the two lights blink together after every 90s.

This can also be solved by finding LCM (Least Common Multiple) of the two numbers i.e. 30 and 45.

Let us have a look at the factors of 30 and 45.

30 = 2 $\times$ 3 $\times$ 5

45 = 3 $\times$ 3 $\times$ 5

So, LCM = 2 $\times$ 3 $\times$ 3 $\times$ 5 = 90

So, after every 90s, the lights will blink together.

5 0

3 years ago

Four-fifths of a spinach casserole is leftover after Sam has lunch. Jackie and Alicia each take 1/2 of the leftover casserole. J

Delvig [45]

Answer:legit?

Step-by-step explanation:legit?

3 0

3 years ago

Which expression can be used to find the price of a $400 telescope after a 32% markup? Select all that apply.

elena-s [515]

<h3>There are 2 answers: choice C, choice D</h3>

====================================================

Explanation:

32% = 32/100 = 0.32

32% of 400 = 0.32*400 = 400(0.32), which adds onto the original 400 to get 400+400(0.32). This is why choice D is one of the answers.

We can factor out the GCF 400 to go from 400+400(0.32) to 400(1+0.32) which then simplifies to 400(1.32) or just 400*1.32. This shows choice C is the other answer. Using a calculator,

400+400(0.32) = 400 + 128 = 528

400*1.32 = 528

meaning that 400+400(0.32) = 400*1.32

The other answer choices result in other values, showing that they aren't equivalent to 528.

6 0

3 years ago

A traveling soccer team allows only the top 3% of athletes who try out to be part of the team. If the team tryout scorecard has

skad [1K]

Answer:

169

Step-by-step explanation:

You need to use a Z-table for this.

There are different tables, in this table i searched for the probability of 97% because that equivalent to the top 3%.

for 0.97, Z = 1.88

The formula of Z is:

$Z = (x-mean)/(st. dev.)$

Solving x:

$1.88 = (x-150)/10 \\x = 168.8 = 169$

3 0

3 years ago

Read 2 more answers

jo has a total of 61 dimes and quarters in her piggy bank. she has 3 more quarters than dimes. the coins have a total value of $

Zepler [3.9K]

D+Q=61 => D=61-Q
3+D=Q

10D+25Q=1090

10(61-Q) + 25Q=1090
610-10Q+25Q=1090

610+15Q=1090
-610 -610

15Q=480

480/15=32

32 quarters

4 0

3 years ago

Read 2 more answers

This table shows the time it took a group of students to complete a quiz​

This table shows the time it took a group of students to complete a quiz