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ehidna [41]
3 years ago
10

Convert 86 degrees Fahrenheit to degrees Celsius?

Mathematics
2 answers:
kondor19780726 [428]3 years ago
6 0
- - 86°F=30°C

Final answer: C
Gennadij [26K]3 years ago
5 0
I am pretty sure the answer is 30
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You buy 3 shirts and 1 pair of pants for $32. Your friend buys 2 shirts and 3 pairs of pants for $40.
koban [17]

You buy 3 shirts and 1 pair of pants for $32. Your friend buys 2 shirts and 3 pairs of pants for $40. How much did each item cost?

 

First let’s define a shirt as X and pants as Y!

 

In the first scenario, the equation will be 3X + Y =$32

In the second scenario, the equation will be 2X + 3Y = $40  

 

Now because we have two different variables (X & Y) let’s solve for one of them (Ex: Y) to simplify the equations!

 

3X + Y= $32—> subtract 3X on both sides of the equation  

-3X.        - 3X

 

Net result: Y= 32- 3X

 

Now we can insert this into the second equation 2X + 3Y = $40 in order to solve for X variable  

 

2X + 3(32-3X) = $40

2X + 96 - 9X = $40 —> simplify the equation  

-7X + 96 = $40 —> substrate 96 from both sides  

-7X = -56 —> divide both sides by -7  

X= 8  

 

Now reinsert 8= X into 3X + Y = $32

3(8) + Y = $32

24+ Y = $32 —> substract 24 from both sides

y = 8

   

ANSWER: X= 8, Y= 8

If I am wrong I am sorry >_<

5 0
2 years ago
Divide​ f(x) by​ d(x), and write a summary statement in polynomial form and fraction form. F(x)=x^2-12x+43;\ d(x)=x-6
11Alexandr11 [23.1K]

Answer:

Quotient: x^(2)-6

Reminder: 7

Step-by-step explanation:

See the attached image.

8 0
3 years ago
Three spherical balls with radius r are contained in a rectangular box. two of the balls are each touching 5 sides of the rectan
olganol [36]

Answer:

The volume of the space between the balls and the rectangular box is 4r^{3}(6 - \pi)

Step-by-step explanation:

The attachment below shows the description of the rectangular bow and the three spherical balls.

From the description,  

  • Two of the balls are each touching 5 sides of the rectangular box, say the 5 sides touched by one of the balls are sides 1,2,3,4, and 5; then the other ball will touch sides 2,3,4,5, and 6).  
  • The middle ball also touches four sides of the rectangular box, These four sides touched by the middle ball will be sides 2,3,4, and 5.

This means the balls are tightly fitted into the rectangular box.

Each of the balls has a radius r

Hence, The volume of one of the balls is given by the volume of a sphere

Volume of a sphere = \frac{4}{3} \pi r^{3} \\

The volume occupied by one of the balls is \frac{4}{3} \pi r^{3} \\

∴ The volume occupied by the three spherical balls will be

3 × \frac{4}{3} \pi r^{3} \\

= 4\pi r^{3}

The volume occupied by the three spherical balls 4\pi r^{3}

For the rectangular box,

The volume of a rectangular box = l w h

Where l\\ is the length

w is the width and

h is the height

Since the balls are tightly packed,

The width of the rectangular box will be the diameter of the balls

diameter of the balls = 2r

∴ w = 2r

The height of the rectangular box will also be the diameter of the balls

∴ h = 2r

The length of the rectangular box will be 3 times the diameter of the balls

∴l = 3 × 2r = 6r

Hence,

The volume of a rectangular box = 6r × 2r × 2r

= 24r³

The volume of the space between the balls and the rectangular box is given by

Volume of the space between the balls and the rectangular box =

volume of the rectangular box -  volume occupied by the three spherical balls

Volume of the space between the balls and the rectangular box= 24r³ - 4πr³

=  24r³ - 4πr³

= 4r³(6 - π)

5 0
3 years ago
What is 8/15 x 5/8 and 2/9 x 3/4
larisa86 [58]

Answer:

8/15 x 5/8 = 1/3

2/9 x 3/4 = 1/2

Step-by-step explanation:

multiply the numerators and denominators together.

8/15 x 5/8 = (8 x 5)/ (15 x 8)

40/120

Simplify by dividing by 40. (GCF)

1/3

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

multiply the numerators and denominators together.

2/9 x 3/4 = (2 x 3)/ (9 x 4)

6/36

Simplify by dividing by 6. (GCF)

1/2

4 0
3 years ago
A method for solving 5(x - 2) = 10 is shown below. Which step shows
seropon [69]
The answer to the question is D
5 0
2 years ago
Read 2 more answers
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