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Phoenix [80]
3 years ago
9

What us the approximate length of the diameter,d?

Mathematics
1 answer:
zhenek [66]3 years ago
3 0

\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r = radius\\[-0.5em] \hrulefill\\ C=44 \end{cases}\implies 44=2\pi r\implies \cfrac{44}{2\pi }=r\implies \cfrac{22}{\pi }=r \\\\\\ \stackrel{\textit{diameter is 2r}}{2\cdot \cfrac{22}{\pi }}\implies \cfrac{44}{\pi }\qquad \approx \qquad 14.00563499208679

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Marie, Shelia, and Martha bought snacks for a girl's sleepover. They each bought the items shown in the following table at the l
creativ13 [48]

Using a system of equations, it is found that the unit prices are:

  • $2.25 for a bag of chips.
  • $1.50 for a liter of pop.
  • $1.75 for a chocolate bar.

For the system:

  • x is the unit price of a bag of chips.
  • y is the unit price of liter of pop.
  • z is the unit price for a chocolate bar.

From the table, the equations are:

2x + 2y + z = 9.25

3x + 4y + z = 14.50

x + 3y + 3z = 12

Replacing the <u>first equation on the second and the third:</u>

z = 9.25 - 2x - 2y

3x + 4y + z = 14.50

3x + 4y + 9.25 - 2x - 2y = 14.50

x + 2y = 5.25

x = 5.25 - 2y

x + 3y + 3z = 12

x + 3y + 3(9.25 - 2x - 2y) = 12

-5x - 3y = -15.75

5x + 3y = 15.75

Since x = 5.25 - 2y:

5(5.25 - 2y) + 3y = 15.75

-7y = -10.5

y = \frac{10.5}{7}

y = 1.5

Then:

x = 5.25 - 2y = 5.25 - 2(1.5) = 2.25

z = 9.25 - 2x - 2y = 9.25 - 2(2.25) - 2(1.5) = 1.75

The unit prices are:

  • $2.25 for a bag of chips.
  • $1.50 for a liter of pop.
  • $1.75 for a chocolate bar.

A similar problem, also solved using a system of equations, is given at brainly.com/question/14183076

4 0
2 years ago
Help me out please!!!!
DedPeter [7]

Answer:

Answer (e)

Step-by-step explanation:

Note that this graph has a zero at x = 1 and a vertical asymptote at x = -4.  Only Answer (e) corresponds to that.  Try letting x = 1.  y is zero, correct?  Try letting x = -4.  y is undefined, correct?

7 0
3 years ago
Marie wants to purchase a car and finance her purchase with a 4 year loan at 7% interest. If she wants her payments to be $250 p
saveliy_v [14]

Answer:

F = $13,802.31

she can finance $13,802.31 with this loan.

Step-by-step explanation:

Given;

Rate r = 7% = 0.07

Time t = 4 years

Payment per month MP = $250

Number of months per year n = 12

This can be solved using compound interest for future value series formula;

F = future value

F = MP(((1 + r/n)^(nt) - 1)/(r/n))

Substituting the given values, we have;

F = $250(((1 + 0.07/12)^(12×4) - 1)/(0.07/12))

F = $13,802.31

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=5x-4%2B2%28x-4%29%3D16" id="TexFormula1" title="5x-4+2(x-4)=16" alt="5x-4+2(x-4)=16" align="ab
mariarad [96]

Answer:

\boxed{x = 4}

Step-by-step explanation:

=> 5x-4+2(x-4) = 16

Expanding the brackets

=> 5x-4+2x-8 = 16

Combining like terms

=> 5x+2x-4-8 = 16

=> 7x - 12 = 16

Adding 12 to both sides

=> 7x = 16+12

=> 7x = 28

Dividing both sides by 7

=> x = 4

3 0
3 years ago
Read 2 more answers
and a list of numbers the pattern increases by 0.001 as you move to the right if the third number list is 0.0 64 what is the fir
Ksivusya [100]

Answer:

  0.062

Step-by-step explanation:

The numbers will decrease by 0.001 as you move the the left, so the list of numbers can be found as ...

  3rd number: 0.064

  2nd number: 0.064 -0.001 = 0.063

  1st number: 0.063 -0.001 = 0.062

7 0
3 years ago
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