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oksano4ka [1.4K]
2 years ago
9

Each envelope in the class contains the same number of triangles and quadrilaterals. Write an expression that

Mathematics
1 answer:
Gala2k [10]2 years ago
3 0

Answer: 3t+4q.

Step-by-step explanation: Triangles have 3 sides, so there will be 3 sides for each triangle in the envelope. This is represented by 3t. Quadrilaterals have 4 sides, so there will be 4 sides for each quadrilateral in the envelope. This is represented by 4q. The total number of sides will be the number of triangle sides and the number of quadrilateral sides together.

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Solution for 8x-3(2x-4)=3(x-6)
NNADVOKAT [17]
The solution is x=30
4 0
3 years ago
A biased coin has a probability of 0.4 of coming up heads. What is the probability that when flipped one hundred times it comes
inn [45]

Using the binomial probability relation ; the probability that an head is obtained at least 50 times is 0.0271

<u>Using the binomial probability relation</u> :

  • P(x = x) = nCx * p^x * q^(n-x)
  • p = probability of success = 0.4
  • q = 1 - p = 0.6
  • n = number of trials = 100

P(x ≥ 50) = p(x = 50) + p(x = 51) + ...+ p(x = 100)

<u>Using a binomial probability calculator</u> :

P(x ≥ 100) = 0.0271

Therefore, the probability that atleast 50 heads are obtained in the trial is 0.0271

Learn more :brainly.com/question/12474772

5 0
3 years ago
Can jack built 1/5 of a shed in the same time that kyle can build 5/8 of shed,
Helen [10]
<h3>Answer: 3/10 of a shed</h3>

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

Explanation:

Let's say the shed comes in 40 equal pieces. Each piece takes the same amount of time to assemble. Why am I picking 40? Because 8*5 = 40.

This will allow us to rewrite the fractions with a common denominator.

  • 1/5 = 8/40 .... multiply top and bottom by 8
  • 5/8 = 25/40 .... multiply top and bottom by 5

So Jack can build 8/40 of the shed in the same amount of time Kyle can build 25/40 of the shed.

Instead of writing fractions (which honestly are a pain to deal with), I'm going to write "8 pieces" and "25 pieces" to represent "8/40" and "25/40" respectively. Just keep in mind that there are 40 pieces total.

So again, Jack can assemble 8 pieces in the time it takes Kyle to assemble 25 pieces.

---------------

The ultimate goal is to have Kyle assemble 40 pieces while Jack puts together some unknown number of pieces (some number between 8 and 40). Let's say it's x.

We can then form this proportion

\frac{\text{Jack's initial 8 pieces}}{\text{x pieces}}=\frac{\text{Kyle's initial 25 pieces}}{\text{goal of 40 pieces}}

which simplifies or cleans up to

5/x = 25/40

-----------------

Let's solve for x using cross multiplication

8/x = 25/40

8*40 = x*25

320 = 25x

25x = 320

x = 320/25

x = 12.8

So in the time it takes Kyle to assemble all 40 pieces, Jack can put together 12.8 pieces of the shed. However, we can't have Jack put together some fractional piece, because each "piece" is as small as it gets. We can't get any smaller. It would be like saying a fractional part of an atom or a lego block.

So we'll round 12.8 down to 12.

Jack can assemble 12 pieces in the time it takes Kyle to assemble 40 pieces.

Let's then convert this back to fraction form

12 pieces = 12/40 of a shed = 3/10 of a shed.

8 0
2 years ago
I NEED HELP!!!!<br> what is the solution for x=4?
umka2103 [35]

Answer:

its basically just x=4

Step-by-step explanation:

8 0
2 years ago
If f(x) = 6x-4, what is f(x) when x = 8?
Aleonysh [2.5K]

Answer:

44

Step-by-step explanation:

6(8)-4 = 48-4= 44

6 0
3 years ago
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