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Yakvenalex [24]
3 years ago
9

The math teachers decided to throw a party. One teacher bought 7 cookies and 2 ice cream bars for $10.95. Another teacher bought

4 cookies and 3 ice cream bars for $10.25 . How much did one cookie and one ice cream bar cost, individually?​
Mathematics
1 answer:
tatyana61 [14]3 years ago
8 0

Answer:

0.95, 2.15

Step-by-step explanation:

cookie-x

ice bar-y

7x+2y=10.95 (*3)

4x+3y=10.25 (*2)

21x+6y=32.85

8x+6y=20.5

21x-8x=32.85-20.5=12.35

13x=12.35

x=0.95

2y=10.95-7*0.95=4.3

y=2.15

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PLEASE HELP DUE ON THURSDAY
valentinak56 [21]

Answer:

  1. 615.8 m^2
  2. 314.2 cm^2
  3. 38.5 ft^2
  4. 113.1 in^2
  5. 1075.2 m^2 . . . . corrected to 107,521.0 m^2
  6. 490.9 yd^2
  7. 18.8 m
  8. 94.2 in
  9. 81.7 ft
  10. 59.7 km
  11. 131.9 cm
  12. 144.5 yd

Step-by-step explanation:

The formula for the area of a circle is ...

   A = πr^2

For each of the given circles, use the value of the radius in this formula. For example, for problem 2, the diameter is shown as 20 cm, so the radius is half that, 10 cm. Putting that value into the formula gives ...

  A = 3.14159·(10 cm)^2 = 314.159 cm^2 ≈ 314.2 cm^2

___

The formula for the circumference of a circle is ...

  C = 2πr . . . . when the radius is given

or ...

  C = πd . . . . . when the diameter is given

As above, put the value for radius (or diameter) into the appropriate formula and evaluate it. For problem 12, that is ...

  C = 3.14159·(46 yd) = 144.513 yd ≈ 144.5 yd

_____

<em>Comment on doing lots of problems</em>

The idea behind having you do lots of problems is that repetition will help you remember the formula and/or how to use it. Personally, I find it tedious, so I like to let a spreadsheet or graphing calculator do the arithmetic when there are lots of identical problems (just with different numbers). This question is posted in the college math forum, so we assume you have a graphing calculator and know how to use it.

The attached photo shows a calculator set up to do the calculation and the rounding for each of the problem types. To get the answer to the last area calculation requires scrolling to the right to find it is 490.9 yd^2.

Note that we have used the calculator's button for π. If you put the number in yourself, use the one shown above, or the ratio 355/113, which is accurate to 7 digits.

In some cases, the numbers in the photo are not terribly clear. I took my best guess. In the event I read the value or units incorrectly, you will have to make appropriate adjustments—that is, do the calculation yourself.

_____

Late edit: apparently I read the number wrong for problem 5. The area of a circle with radius 185 m is 107,521.0086 m^2, which rounds to 107,521.0 m^2. Oops.

3 0
3 years ago
If x=-2, what is the value of (x + 6)(x2 – 3)?
Mashutka [201]
The answer is 28 i’m pretty sure
3 0
2 years ago
Read 2 more answers
How to solve 4.5×-7=20​
kolezko [41]

Simplifying

4.5x + -7 = 20

Reorder the terms:

-7 + 4.5x = 20

Solving

-7 + 4.5x = 20

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.

-7 + 7 + 4.5x = 20 + 7

Combine like terms: -7 + 7 = 0

0 + 4.5x = 20 + 7

4.5x = 20 + 7

Combine like terms: 20 + 7 = 27

4.5x = 27

Divide each side by '4.5'.

x = 6

Simplifying

x = 6

5 0
3 years ago
Read 2 more answers
Some one for the love of god give me the real answer.
lora16 [44]

Answer:

See attached

Step-by-step explanation:

<em>Refer to label attached</em>

<u>Prep date and time: </u>

  • 12/3/2016 04:00 AM

<u>Expiry date and time:</u>

  • 1/17/2017 12:00 PM

6 0
3 years ago
If rain is falling at a rate 1/4 inch per hour how much would you expect after 6 hours
professor190 [17]
I think that it would be 1.5 because if you multiply it by 6 it is 1.5
6 0
3 years ago
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