This question is based on combinations
Out of 7 appetizers, 4 are to be selected, this becomes = 7C4
Out of 3 main courses, 2 are to be selected , this is = 3C2
Out of 5 desserts, 4 are to be selected, this is = 5C4
So, total ways become =
7C4 * 3C2 * 5C4
7!/4!(7-4)! * 3!/2!(3-2)! * 5!/4!(5-4)!
= 35*3*5 =525 ways
Hence, this can be done in 525 ways.
Answer:
x = 6
Step-by-step explanation:
It's simple.
This is just dilation. Since its a scale factor of 0.25 and you want to find x on the bigger one. Then we know we have to then change it into a fraction, 1/4. Which means that 1.5 is only a fourth of x. So, if you do the math: 1.5*4=6.
Therefore, your answer would be x = 6
<span> Add x to both lenght and width and you get 25+x and 10+x. Set up equation with new area </span>
<span>(25+X)(10+X)=1000 </span>
<span>solve using quadratic formula
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167 multiplied by 235 would equal 39,245
The appropriate words to fill each blank as required in the task content are; -3, -4 and {-4} respectively.
<h3>What is the appropriate numbers to fill in the blank spaces?</h3>
It follows from the task content that the numbers which can be used to fill in each of blanks are as follows;
a). To solve the equation, we must divide each side of the equation by; -3.
b). Performing this operation gives the equation X= -4.
C). When the solution is written in solution set notation, it is written as; {-4}.
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