Answer:
A. coefficients: 70, 12; variables: x, y.
B. 2 terms: 70x, 12y; separated by an addition symbol
C. 70x
Step-by-step explanation:
We will answer the questions in the context of this problem. In other problems, the meaning of "coefficient", "variable", and "term" may be different.
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A. The coefficients are the numbers; the variables are the letters. Then the coefficients are 70 and 12; the variables are x and y.
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B. Each product is a term. Terms are separated by the + sign. There are two terms in this expression, one on either side of the + sign. When an expression is written with no parentheses, the terms are separated by + or - signs. (Often, we think of the minus sign as being part of the coefficient of the term. Then we can say terms are separated by + signs. 10x + (-32y), for example.)
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C. When you match the coefficients to the numbers in the problem statement, you see that the number matching the earnings at the diner is <em>$70 per shift</em>. If we assume that x represents the number of shifts worked at the diner, then the term 70x will represent the total earned from the diner. It is the product of the earnings per shift and the number of shifts.
One way to describe the U.S. dollar if the foreign exchange rate between the U.S dollar and British pound changed from 1:1 to 1:07 is the dollar has weakened. The correct answer is C.
Bala had 9 stickers
You could set this up as a equation. Because there was a total of 26 you would for sure put =26. Next you are told Alvin has 8 MORE than Bali, therefore you would be adding the unknown value of Bala by 8. This could be represented as x+8=26. Now that you have x added to 8 you need to add another x to the equation to fully represent the problem since Alvin has 8 more stickers than Bala does. The new equation would become 2x+8=26.
You must now isolate x by first subtraction 8 from both sides which will leave you with 2x=18. Then you divide on both sides by 2 and will leave you with x=9
First of all, a bit of theory: since the area of a square is given by
where s is the length of the square. So, if we invert this function we have
.
Moreover, the diagonal of a square cuts the square in two isosceles right triangles, whose legs are the sides, so the diagonal is the hypothenuse and it can be found by
So, the diagonal is the side length, multiplied by the square root of 2.
With that being said, your function could be something like this:
double diagonalFromArea(double area) {
double side = Math.sqrt(area);
double diagonal = side * Math.sqrt(2);
return diagonal;
}
Sophie would’ve earned more
She would’ve earned $37 more
Calculations:
Sophie:
$330(1+4%*2)
=$356
Simple interest: $356-$330
=$26
Avi:
$290(1+5%*2)
=$319
Simply interest: $319-$290
=$29
$29-$26
=$3
