Answer:
you answer should be 37.26666667
Step-by-step explanation:
1). You will have to divide 256/8 because you will need to know how many buses are needed. By dividing these two the total Number of us is needed for a total of 256 people are 32 buses in total.
2). Just divide 350/27 and you will get approximately 13 cupcakes per student. Multiply your answer to 350 divided by 27 by 27 and you will get 324. Then subtract 324 from 350 and you will get 26. So each student receives 12 cupcakes and the teacher receives 26 cupcakes. I’m sorry I’m not that sure but I answered the rest for you
3). Find the common denominator of 2/3 and 1/5 which is 15.
2/3=10/15 and 1/5=3/15
The answer will be 13/15
4). Sane thing for number 4, find a common factor between 8 and 6 which is 24
3/8=9/24
And 5/6=20/24
Add them and you will get 29/24
Since 29/24 is an improper fraction write this improper fraction as a mixed number which will be 1 5/24.
Hope this really helps for your review and good luck! :)
The numbers are: "3" and "9" .
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Explanation:
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Let "x" represent one of the two (2) numbers.
Let "y" represent the other one of the two (2) numbers.
x = 2y + 3 ;
x + y = 12 .
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Method 1)
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x = 12 <span>− y ;
Plug this into "x" for "2y + 3 = x" ;
</span>→ 2y + 3 = 12 <span>− y ;
</span>
Add "y" to each side of the equation; & subtract "3" from each side of the equation ;
→ 2y + 3 + y − 3 = 12 − y + y <span>− 3 ;
</span>
to get: 3y = 9 ;
Divide each side of the equation by "3" ;
to isolate "y" on one side of the equation; & to solve for "y" ;
3y / 3 = 9 / 3 ;
y = 3 .
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Now: x = 12 − y ; Plug in "3" for "y" ; to solve for "x" ;
→ x = 12 − 3 = 9
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So; x = 9, y = 3 .
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Method 2)
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When we have:
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x = 2y + 3 ;
x + y = 12 .
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→ y = 12 − x ;
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Substitute "(12−x)" for "y" in the equation:
" x = 2y + 3 " ;
→ x = 2(12 − x) + 3 ;
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Note the "distributive property of multiplication" :
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a(b + c) = ab + ac ;
a(b − c) = ab − ac ;
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As such:
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→ 2(12 − x) = 2(12) − 2(x) = 24 − 2x ;
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So; rewrite:
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x = 2(12 − x) + 3 ;
as:
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→ x = 24 − 2x + 3 ;
→ x = 27 − 2x ;
Add "2x" to each side of the equation:
→ x + 2x = 27 − 2x + 2x ;
→ 3x = 27 ;
Divide each side of the equation by "3" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
3x / 3 = 27 / 3 ;
x = 9 .
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Note: "y = 12 − x" ; Substitute "9" for "x" ; to solve for "y" ;
→ y = 12 − 9 = 3 ;
→ y = 3 .
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So, x = 9 ; and y = 3.
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The numbers are: "3" and "9" .
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To check our answers:
Let us plug these numbers into the original equations;
to see if the equations hold true ; (i.e. when, "x = 9" ; and "y = 3"
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→ x + y = 12 ;
→ 9 + 3 =? 12 ? Yes!
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→ x = 2y + 3 ;
→ 9 =? 2(3) + 3 ?? ;
→ 9 =? 6 + 3 ? Yes!!
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You would multiply 60 x 3.14= 188.4
then round and you get 188 ft
You get the nearest whole number by rounding if the number is 5 or more you round up 4 or less round down...in this case you're rounding the decimal and the first number after the decimal is 4 so you round to....