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3 years ago

How many integers from 4 to 50 inclusive are neither multiples of 3 nor 4????

Mathematics

1 answer:

puteri [66]3 years ago

6 0

Answer:

24 integers

Step-by-step explanation:

There are (50 - 4)+1 = 47 integers from 4 to 50 INCLUSIVE.

We find the multiples of 3 and find the multiples of 4 and subtract that from the 47 integers to get INTEGERS that are NEITHER multiple of 3 nor 4.

Let's list multiples of 3 (from 4 to 50 inclusive):

6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48

Multiples of 4 (from 4 to 40 inclusive):

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48

From the 2 lists, let's take out the <em>common ones:</em>

<em>THe common ones are 12, 24, 36, 48</em>

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We count all from multiples of 3 list, but don't count the common from multiples of 4's list.

So there are 15 multiples of 3, and 8 multiples of 4

In total 15 + 8 = 23 multiples of 3 and 4

So there are 47 - 23 = 24 integers that are NOT multiples of 3 nor 4

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Artyom0805 [142]

The equation which shows the situation are 8g + 6h = 62 and 5g + 10h = 70.

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

Kyle and Lauren teach swimming lessons during the summer. Kyle has 8 classes with g students in each class and 6 classes with h students in each class.
Lauren has 5 classes with g students in each class and 10 classes with h students in each class.
If Kyle has a total of 62 students and Lauren has a total of 70 students,

The equation made by the given situation is:-

For kyle, there are g students attending 8 classes sp total number of students will be 8g similarly for h students there are 6 classes so the total number of h students will be 6h. The total number of students for both g and h students attending kyle's class is 62. So the equation will be given as:-

8g + 6h = 62

Now for Lauren, there are g students attending 5 classes so the total number of students will be 5g similarly for h students there are 10 classes so the total number of h students will be 10h. The total number of students for both g and h students attending Lauren's class is 70. So the equation will be given as:-

5g + 10h = 70

Therefore the equation which shows the situation are 8g + 6h = 62 and 5g + 10h = 70.

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2 years ago

Hailey wants to put a skirt around her desk to hide all her computer equipment and cords. She measured her desk, found the dimen

xeze [42]

Answer:

$C.\ Perimeter = 48 * 18$

Step-by-step explanation:

Given

See attachment for her sketch

Required

Which equation do not represent the perimeter

From the attached sketch:

$L =18in$ --- Length

$W =48in$ --- Width

Perimeter (P) is calculated as:

$P = 2 * (L + W)$

This gives:

$P = 2 * (18 + 48)$ ---- This represents (A)

Open bracket

$P = 2 * 18 + 2*48$ ---- This represents (B)

In algebra:

$2 * a$ means $a+ a$

So, the expression becomes

$P = 18 + 18 +48 + 48$ --- This represents (D)

<em>This implies that (C) does not represent the perimeter</em>

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2 years ago

The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard dev

Vladimir [108]

Answer:

Probability that the average length of a sheet is between 30.25 and 30.35 inches long is 0.0214 .

Step-by-step explanation:

We are given that the population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches.

Also, a sample of four metal sheets is randomly selected from a batch.

Let X bar = Average length of a sheet

The z score probability distribution for average length is given by;

Z = $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)