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marshall27 [118]
3 years ago
5

The total cost for 8 bracelets, including shipping was $54. The shipping charge was $6. Define your variable and write an equati

on that models the cost of each bracelet. Would it be 8x+6=54
Mathematics
2 answers:
Alenkasestr [34]3 years ago
5 0
8x+6=54
    -6   -6
    8x=48   
8x /8=48/8
      x=6 the bracelets were $6 a piece

AleksandrR [38]3 years ago
3 0

Answer:

The equation that models the cost of each bracelet is 8x+6=54

Step-by-step explanation:

Let the cost of each bracelet be = x

So, the cost of 8 bracelets are = 8x

The shipping fee is = $6.

The total cost for 8 bracelets, including shipping was $54.

We can denote this mathematically as:

8x+6=54

Now solving for x to get the cost of 1 bracelet.

8x=54-6

=> 8x=48

Dividing both sides by 8;

We get x = 6

So, the cost of each bracelet is $6.

The equation that models the cost of each bracelet is 8x+6=54

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Please help. I’ll mark you as brainliest if correct!
balu736 [363]

Answer: x= -1, z=2, y= -4

Step-by-step explanation:

System of equations:

-5x - 4y - 3z= 15  +

<u>-10x + 4y + 6z= 6</u>

-15x         + 3z = 21  ------>  3 (-5x + z) = 7.3

-5x + z = 7

now,

-10x + 4y + 6z= 6

2(-5x + z) + 4y + 4z = 6

14 + 4y + 4z = 6

7 + 2y + 2z = 3

2y + 2z= -4

y+z=-2

Now we were using the equation: 20x + 4y + 4z = -28

20x + 4(y+z) = 20x -8= - 28

20 x = -20

x= -1

With this we can find y and z

X=-1

-5x + z = 7

z= 2

y+z=-2

y=-4

Finally we have: x= -1, z=2, y= -4

I hope this can help you.

Thank you

3 0
3 years ago
When studying radioactive material, a nuclear engineer found that over 365 days,
Gnom [1K]

Answer:

a) The mean number of radioactive atoms that decay per day is 81.485.

b) 0% probability that on a given day, 50 radioactive atoms decayed.

Step-by-step explanation:

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\lambda}*\lambda^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\lambda is the mean in the given interval.

a. Find the mean number of radioactive atoms that decayed in a day.

29,742 atoms decayed during 365 days, which means that:

\lambda = \frac{29742}{365} = 81.485

The mean number of radioactive atoms that decay per day is 81.485.

b. Find the probability that on a given day, 50 radioactive atoms decayed.

This is P(X = 50). So

P(X = 50) = \frac{e^{-81.485}*(81.485)^{50}}{(50)!} = 0

0% probability that on a given day, 50 radioactive atoms decayed.

5 0
3 years ago
Thaddeus shakes his head as he pays $12.37 to the clerk for lunch. Complaining to a friend, Thaddeus says, “Do you realize that
atroni [7]

a)

his income must be "x" which is the 100%, and we would know that 0.2% of that is 12.37.

\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 12.37&0.2 \end{array}\implies \cfrac{x}{12.37}=\cfrac{100}{0.2}\implies 0.2x=1237 \\\\\\ x=\cfrac{1237}{0.2}\implies x=61.85

b)

his income must be "x" which is the 100%, and we would know that 2% of that is 12.37.

\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 12.37&2 \end{array}\implies \cfrac{x}{12.37}=\cfrac{100}{2}\implies 2x=1237 \\\\\\ x=\cfrac{1237}{2}\implies x=618.5

btw he's not making much either way.

7 0
2 years ago
1) Is 26,341 divisible by 3? If it is, write the number as the product of 3 and another factor. If not, explain.
yan [13]

Answer:

No

Step-by-step explanation:

26341 ÷ 3 = 8780.333333

because the product has a decimal of 8780 recurring 3, therefore 26341 is not divisible by 3

8 0
3 years ago
0.42 - 4) = 0.24 + 7)
Ronch [10]

Answer:

im sorry if not but i think its 7.24

Step-by-step explanation:

8 0
3 years ago
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