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ASHA 777 [7]
3 years ago
11

A bakery charges two different prices for desserts. The table shows the number of cupcakes and the number of cookies sold in the

past
3
hours. The total earnings for hours
1
and
2
are given. Each cupcake costs the same price, and each cookie costs the same price. The system of equations can be used to represent the situation.

Mathematics
1 answer:
andreev551 [17]3 years ago
8 0

Answer:

hope this helps

Step-by-step explanation:do not need one really

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The size of a cell is typically found by capturing an image under a microscope then using software to measure its diameter. Two
nika2105 [10]

Answer:

  7.789×10^-2 = 0.07789 cm

Step-by-step explanation:

Your calculator can find the difference of the two given diameters and express it in any format you like.

The attached image of a calculator display shows the difference of the cell diameters is 0.07789 = 7.789×10^-2 cm.

__

The difference of two numbers with different exponents is found by first adjusting the exponents so they are the same. Here, we choose to adjust both numbers so they have the highest exponent value.

  8.83×10^-2 - 6.01×10^-3

  = 8.39×10^-2 - 0.601×10^-2 = (8.39 -0.601)×10^-2 = 7.789×10^-2

Alternatively, you can convert both numbers to standard form and do the subtraction that way.

  8.83×10^-2 - 6.01×10^-3

  = 0.0883 -0.00601 = 0.07789

_____

<em>Additional comment</em>

The second attachment shows the relationship between place values and their multiplier in scientific notation.

__

The choice of exponent when computing the sum or difference of numbers in scientific notation is usefully informed by an estimate of the value of the sum or difference. A proper choice can avoid the need to adjust the exponent of the result of the operation. Here, we see the subtraction will change the larger value by less than 10%, so the exponent of the result in scientific notation will be that of the larger value (-2).

3 0
2 years ago
Two angles in a triangle have measures of 25° and 55°.
rosijanka [135]

Answer:

B) 100

Step-by-step explanation:

All 3 interior angles of a triangle add up to 180 so:

x + 25 + 55 = 180

x + 80 = 180

x = 180 - 80

x = 100

4 0
3 years ago
A local high school held a two-day fundraiser selling lunches. The equations shown represent the amount of money the school coll
Over [174]

Answer:

  11

Step-by-step explanation:

The two equations appear to be ...

  • 12x +4y = 152
  • 32x +12y = 420

These can be solved for y using Cramer's rule:

  y = (152(32) -420(12))/(4(32) -12(12)) = -176/-16 = 11

The cost of the vegetarian lunch is 11.

_____

<em>Comment on Cramer's Rule</em>

For equations ...

  ax +by =c

  dx +ey = f

The solutions are ...

  x = (bf -ey)/(bd -ea)

  y = (cd -fa)/(bd -ea) . . . . note the denominators are the same expression

Once you memorize the pattern of products, this can be the simplest way to solve a pair of equations--especially if you only need one of the variable values.

6 0
3 years ago
What is the first step that should be used to solve the equation?<br> 12.5n=200
zimovet [89]

Answer:

200/12.5 and then you'll get the answer

Step-by-step explanation:

5 0
3 years ago
Value​ Rent-A-Car rents a luxury car at a daily rate of ​$44.86 plus 50 cents per mile. A business person is allotted ​$100 for
natta225 [31]

Answer:

110.28

Step-by-step explanation:

First: 100 - 44.86 = 55.14

Second: 55.14/.50 = 110.28

Last: The most you can travel is 110.28 miles per day!

Please mark Branilest!


3 0
3 years ago
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