Answer:
boys:girls:teachers
5 : 4 :1
Step-by-step explanation:
75 boys, 60 girls and 15 teachers
boys:girls:teachers
75 : 60 :15
Divide each term by 15
75 /15 : 60/15 :15/15
5 : 4 :1
Since only the first term has ax for coefficients the GCF cant be -3ax^5.
The GCF would be -3a
Factor -3a out of all the terms:
-3a(2x^7)-3a(-4a^5)-3a(a^4)
Now factor -3a out of the equation for the final answer:
-3a(2x^7-4a^5+a^4)
The answer is: [D]: " 24 + 2w " .
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Explanation:
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Given: The formula for the Perimeter of a rectangle:
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P = 2L + 2w ;
in which:
P = perimeter ;
L = length = 12 units (given);
w = width = unknown;
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Find the perimeter, "P", in terms of "w" ; since "w" (width) is unknown; and considering the answer choices given; along with the information provided in the problem, we only have enough information to solve for the perimeter, "P", in terms of "w" ;
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So, given the formula/equation for the perimeter, "P" :
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P = 2L + 2w ; we know that: " L = 12 units " ;
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P = 2*12 + 2w = 24 + 2w ; which is: "Answer choice: [D]" .
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Consider the cup a cylinder. The formula for the volume of a cylinder is: V= PI x r^2 x h
Cup A: 3.14 x 7 x 1.5^2 = 49.46
This is large enough
Cup B: 3.14 x 5 x 1^2 = 15.7
This is too small
Cup C: 3.14 x 6 x 1.25^2 = 29.44
This is too small.
