Answer:
x=
Step-by-step explanation:
3x-12-6x+21=23
-3x+9=23
-3x=14
x=
Answer:
Step-by-step explanation:
4x-2(x-6)-x=4x-2x-x+12
=x+12
Answer:
Kayla bought 7 tacos and 10 hotdogs
Step-by-step explanation:
Let the number of hotdogs be x.
Let the number of tacos be y.
i) It is given that x = y + 3
ii) It is also given that 3.5x + 4y = 63, therefore 7x + 8y = 126
iii) substituting the value of x from i) in ii) we get 7(y + 3) + 8y = 126
therefore 15y + 21 = 126
therefore 15y = 105
therefore y = 7
Therfore Kayla bought 7 tacos
iv) Using the value of y from iii) in i) we x = 7 + 3 = 10
Therefore Kayla bought 10 hotdogs
9514 1404 393
Answer:
7.056 × 10^31
Step-by-step explanation:
The applicable rule of exponents is ...
(10^a)(10^b) = 10^(a+b)
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As you know, the commutative and associative properties of multiplication let you rearrange the order of the product to any convenient form. Here it is convenient to group the mantissas together and the powers of 10 together.
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<em>Additional comments</em>
This is a product your scientific or graphing calculator can produce for you. Likely it will display the result in scientific notation because it won't have enough display digits to show you the product any other way. For smaller numbers, you can set the display mode to give you scientific notation.
If you choose to use a spreadsheet to perform this calculation, the numbers would be entered as 1.2e19 and 5.88e12. The result will be something like 7.056e31. You may have to format the display to show 3 decimal places.
The total amount that would be spent on all the activities is $1605.40.
<h3>What is the total amount?</h3>
The total amount that would be spent on movies = (14/25) x 1200 x 1.55 = $1041.60
The total amount that would be spent on planetarium tickets = (7/25) x 1200 x 1.05 =352.80
The total amount that would be spent on backstage passes = (4/25) x 1200 x 1.10 =211.20
Total amount = 211.20 + 352.80 + $1041.60 = $1605.40
Please find attached the complete question. To learn more about addition, please check: brainly.com/question/349488