MATHEMATICS MIDDLE SCHOOL

Sir Dwayne is in charge of dragon designs at the King's ToyFactory. He hopes that his new designs will please the king
*Your Highness," he says. "I have the plans for the toy
dragons. If it pleases you, every 3rd dragon shall billow
clouds of smoke through its nostrils. every 4th dragon shall
breathe fire, every 6th dragon shall have glowing eyes, and
every 8th dragon shall have a tail with spikes on it. i shail
make 100 dragons." The king asks. Sir Dwayne, how many
dragons shall have more than one of these
characteristics?" Sir Dwayne doesn't have the answer. Can
you help him answer the king before he is thrown into the
dungeon?

Answers

Answer 1
Answer:

Answer:

  • 24 dragons

Explanation:

Any multiple of 3 and 4shall blow clouds of smoke through its nostrils and breathe fire. Those are:

  • the 12th, the 24th, the 36th, the 48th, the 60th, the 72nd, the 84th, and the 96th dragons.

Hence, that is 8 dragons that shall have both characteristics.

Any multiple of 6 shall have glowing eyes. The common multiples of 6 and 3 are: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, and 96.

Then, that adds:

  • the 6th, 18th, 30th, 42nd, 54th, 66th, 78th, and the 90th dragons:

Hence, add 8 more dragons.

And the common multiples of 6 and 4 are: 12, 24, 36, 48, 60, 72, 84, and 96, all of which are already included.

Any multiple of 8 shall have a tail with spikes on it. Then, you must find the common multiples of 8 and 3, 8 and 4, and 8 and 6.

Common multiples of 8 and 3 are: 24, 48, 72, and 96, which are already included.

Common multiples of 8 and 4 are: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, and 96. Then, you must add:

  • the 8th, the 16th, the 32th, the 40th, the 56th, the 64th, the 80th, and the 88th.

Those are other 8 dragons.

At the endthe number of dragons that shall have more than one of these characteristics is:

  • 8 + 8 + 8 = 24

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If x is not equal to zero, what is the value of 4(3x)^2/ (2x)^2
Julia collects colored beads for craft projects. Of Julia’s beads, 4/9 are silver, 1/5 are gold, and 1/4 are blue. The rest of the beads are red. Which expression gives the closest estimate of the fraction of red beads Julia has?
PLEASE HELP,what's the answer

PLEASE HELPWhich equation represents a linear function? (5 points)
Equation 1: y = 2x + 1
Equation 2: y2 = 3x + 1
Equation 3: y = 5x5 − 1
Equation 4: y = 4x4 − 1
Select one:
a. Equation 1
b. Equation 2
c. Equation 3
d. Equation 4

Answers

Equation 1

It provides the slope and the y-intercept.
equation 1, it has a constant slope which determined that the line will be linear

The points (4,t) and (5,-
4) fall on a line with a slope of
-
7. What is the value of t?
t=

Answers

Answer:

t = -3

Step-by-step explanation:

To answer this problem, first you have to know how to calculate the slope of a line. Since we know that y1-y2/x1-x2 is the equation to calculate slope, we are ready to tackle this problem.

Because y1 is t, y2 is 4, x1 is 4, and x2 is 5, we can now plug this in to our equation. The equation becomes t-4/4-5. And because we know the slope is 7, the equation is now (t-4)/(4-5)=7. If you solve this equation, you will get that t=-3

IM BEGGING PLEASE HELP I GIVE THANKS

Answers

Opposite angles are equal:

4y-8=79+y

4y-y=79+8

3y=87

y=87/3

y=29

Kiersten runs a website that helps people learn programming. Every month, Kiersten receives a subscription fee of $10 from each of the subscribers to her website. Last month, the website had 100 subscribers. This month, 30 new members joined the website, and 10 members cancelled their subscription

Answers

Answer:

Last month's income: $1000

This month's income = $1200

Step-by-step explanation:

Number of subscribers for last month = 100

Fee per subscriber = $10

Sol, last month's income = 100(10) = 1000

This month, 30 new members joined and 10 of the existing members cancelled their subscription.

So, number of subscribers this month = 100 + 30 - 10 = 120

This month's income = 120(10) = 1200
Last month, Kiersten earned $1000 (wow that's a lot of money :3) and this month, she earned $1200.

Circle the common factors of 20w and 40wz. Options are 10, 20w, 10xz, 5z, 2w, z, 9w, or w. Can you please explain how you guys got this too

Answers

Answer with Step-by-step explanation:

We are given 2 terms

20w and 40wz

We have to find their common factors.

20w=2×2×5×w

40wz=2×2×2×5×w×z

As we can see from the above factorization that,

10=2×5 is common in both

20w=2×2×5×w is common in both

2w=2×w is common in both

w is common in both

Hence, the common factors of 20w and 40wz are:

10,20w,2w and w
10, 20w, 2w, and we are factors of 20w and 40wz

What is bigger 2/3 or 4/5 or

Answers

4/5 is equal to 0.8 when you divide 4 by 5. 2/3 is 0.66 when you divide 2 by 3. So 4/5 is bigger than 2/3.
2/3 as a percent would be 80%
and 
4/5 as a percent would be 25% 

so your answer would be 2/3 is bigger than 4/5 
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