How many whole numbers less than 100 are multiples of 3 but not multiples of 5?

Answers

Answer 1

Answer:

Answer: There are 6 whole numbers less than 100 that are multiples of 3 but not multiples of 5: 15, 30, 45, 60, 75, and 90.

Step-by-step explanation:

To find the number of whole numbers less than 100 that are multiples of 3 but not multiples of 5, we need to determine the range of numbers that satisfy this condition.

First, let's consider the multiples of 3. The multiples of 3 are 3, 6, 9, 12, and so on. We can observe that every third number is a multiple of 3.

Next, let's consider the multiples of 5. The multiples of 5 are 5, 10, 15, 20, and so on. We can observe that every fifth number is a multiple of 5.

To find the numbers that are multiples of 3 but not multiples of 5, we need to find the common multiples of 3 and 5. This means we need to find the numbers that appear in both lists.

Let's compare the two lists:

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96

Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95

We can see that the numbers 15, 30, 45, 60, 75, and 90 appear in both lists.

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To determine customer opinion of their pricing, Home Depot randomly selects 140 check out lines during a certain week and surveys all customers in the check out lines. What type of sampling is used?

Answers

Answer: Cluster sampling

Step-by-step explanation:

A cluster sampling is a kind of random sampling technique in which the researcher splits the whole population into distinct sets known as clusters.

After that, he choose a random sample of clusters from the population and do analysis on it.

In the given situation, the objective of survey : "To determine customer opinion of their pricing:".

He first divides the number of check out lines according to weeks and randomly selects 140 check out lines during a certain week and surveys all customers in the check out lines. .

(Here , check out lines = clusters )

Therefore , the type of sampling is used = Cluster sampling

Cluster sampling is used by Home Depot for a certain week and surveys all customers in the check out lines.

A cluster sampling is a kind of random sampling technique in which the researcher splits the whole population into distinct sets known as clusters.

Given, Home depot randomly selects 140 check out lines.

In the given situation, the objective of survey : "To determine customer opinion of their pricing:".

He first divides the number of check out lines according to weeks and randomly selects 140 check out lines during a certain week and surveys all customers in the check out lines. .

Here , check out lines = Clusters

Therefore , the type of sampling used is Cluster sampling .

Know more about cluster sampling,

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Find the measure of angle X in the figure below Choices: 35°, 47°, 73°, 78°

Answers

Answer:

To find angle x we must first find y

For angle y

Angles on a straight line add up to 180°

56 + 51 + y = 180

y = 180 - 56 -51

y = 73°

Now for angle x

Angles in a triangle add up to 180°

y + x + 72 = 180

y = 73°

73 + x + 72 = 180

x = 180 - 73 -72

x = 35°

Therefore angle x is 35°

Hope this helps.

First, it's worth noting that angles on a straight line sum to 180°. We can use this information to find out the value of y:

180-52-59=69

y=69°

Another rule is that the angles in a triangle sum to 180° as well. This means that we can now find out x:

63+y+x=180

63+69+x=180

180-63-69=x

x=47°

Find the equation of the graphed line.
Thank you btw!

Answers

Answer:

Step-by-step explanation:

To get from one point to the other, you have to go down 7 points and right 6 points, resulting in a negative slope. The y-intercept (where it crosses the y-axis, or the line in the middle going up and down) is at y=-7. Hope this helps!

Answer:

The answer is d

Step-by-step explanation:

The equation for slope is y=mx+b

First find the y-intercept (b) which is -7

Then you pick two points on the line to find the rise and run of the line (the slope which is m). The slope of this line in -7/6

Could you please solve me this exercice: :3 $x^2-5x+√(x^2-5x+7)=5$

Thank you a lot! :3 :3 :3

Answers

$Domain:x^2-5x+7\geq0\n\na=1;\ b=-5;\ c=7\n\n\Delta=b^2-4ac\to\Delta=(-5)^2-4\cdot1\cdot7=25-28=-3 < 0\n\ntherefore\ D:x\in\mathbb{R}$

$Find\ minimum\ value\ of\ x^2-5x+7\n\ny_(min)=(-\Delta)/(4a)\to y_(min)=(-(-3))/(4\cdot1)=\boxed{(3)/(4)}\n-----------------------------\nx^2-5x+√(x^2-5x+7)=5\ \ \ \ \ |add\ 7\ to\ both\ sides\n\nx^2-5x+7+√(x^2-5x+7)=12\n\nsubtitute\ t=x^2-5x+7\ (t\geq(3)/(4))\n\nt+√(t)=12\ \ \ \ |subtract\ t\ from\ both\ sides\n\n√(t)=12-t\ \ \ \ \ \ |square\ both\ sides$

$t=(12-t)^2\n\nt=12^2-2\cdot12\cdot t+t^2\n\nt=144-24t+t^2\n\nt^2-24t+144=t\ \ \ \ \ |subtract\ t\ from\ both\ sides\n\nt^2-25t+144=0\n\nt^2-9t-16t+144=0\n\nt(t-9)-16(t-9)=0\n\n(t-9)(t-16)=0\iff t-9=0\ or\ t-16=0\n\nt=9\ or\ t=16$

$t+√(t)=12\ therefore\ t=16\ is\ not\ a\ solution.$

$t=9\to x^2-5x+7=9\ \ \ \ |subtract\ 9\ from\ both\ sides\n\nx^2-5x-2=0\n\na=1;\ b=-5;\ c=-2\n\n\Delta=(-5)^2-4\cdot1\cdot(-2)=25+8=33\n\nx=(-b\pm\sqrt\Delta)/(2a)\to x=(5\pm√(33))/(2)$

$Answer:\n\boxed{x=(5-√(33))/(2)\ or\ x=(5+√(33))/(2)}$

if xy=0 then x or/and y must be 0 so we try to get it to zero later

so first we get the square root on one side by itself
so subtract x^2-5 from both sides (-x^2+5 to both sides)

√(x^2-5x+7)=-x^2+5x+5
square both sides (or both sides to the ^2 power)
gets rid of the √
x^2-5x+7=(-x^2+5x+5)^2=x^4-10x^3+15x^2+50x+25
so subtract x^2 from both sides
-5x+7=x^4-10x^3+14x^2+50x+25
add 5x to both sides
7=x^4-10x^3+14x^2+55x+25
subtract 7 from both sides
0=x^4-10x^3+14x^2+55x+18
factor
(x^2-5x-9)(x^2-5x-2)=0
(x^2-5x-9)=0
(x^2-5x-2)=0
I'm not sure how to proceed but if you can find the factors of (x^2-5x-2) and (x^2-5x-9) and set them to zero, you can get the answers

Sam has $40. He buys a book for $12.99 and a puzzle for $15.49.Which equations can be used to find how much money Sam has left?

Answers

40 = 12.99 + 15.49 + x

Total 40, 12.99 and 15.49 is how much he has spent, and x is the variable to be solved for

If this helped pls mark branliest.

Answer:

40-12.99-15.49=11.52

40-(15.49+12.99)=11.52

Step-by-step explanation:

There are two ways you can complete this you can just keep subtracting or you can add the two number that you need to subtract and then subtract them.

How do you factor out the trinomial: 6x²+14x+4

Answers

6x² + 14x + 4
sum: 14 (12+2=14)
product: (6 × 4 = 24) (12×2=24)

6x² + 12x + 2x + 4
6x(x + 2) + 2(x + 2)
(6x + 2)(x + 2)

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