Lake Snider High School surveyed its student population about if they prefer pizza or sushi. The students who prefer pizza repre
1 answer:
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Answer:
Options A,C and E.
Step-by-step explanation:
The given equation is
Let n be the unknown number, then
Twice a number minus nine and two-tenths is the same as the number plus four-fifths.
So, option A is correct.
Nine point two decreased by double a number is the same as the number added to four-fifths.
Nine point two less than twice a number is equal to the number added to four-fifths.
So, option C is correct.
Two times the difference of a number and nine and two-tenths is equal to the number plus four-fifths.
Double a number decreased by nine and two-tenths is the same as the sum of four-fifths and the number.
So, option E is correct.
Therefore, the correct options are A,C and E.
Let's start by visualising this concept.
Number of grains on square:
1 2 4 8 16 ...
We can see that it starts to form a geometric sequence, with the common ratio being 2.
For the first question, we simply want the fifteenth term, so we just use the nth term geometric form:
Thus, there are 16, 384 grains on the fifteenth square.
The second question begs the same process, only this time, it's a summation. Using our sum to n terms of geometric sequence, we get:
Thus, there are 32, 767 total grains on the first 15 squares, and you should be able to work the rest from here.
Number of grains on square:
1 2 4 8 16 ...
We can see that it starts to form a geometric sequence, with the common ratio being 2.
For the first question, we simply want the fifteenth term, so we just use the nth term geometric form:
Thus, there are 16, 384 grains on the fifteenth square.
The second question begs the same process, only this time, it's a summation. Using our sum to n terms of geometric sequence, we get:
Thus, there are 32, 767 total grains on the first 15 squares, and you should be able to work the rest from here.
Answer:
1.5 feet
Step-by-step explanation:
Bob wants to plant a 7 foot by 10 foot garden.
Area = square feet
He wants to make a uniform border of petunias around the outside and still have 28 square feet to plant tomatoes and roses in the middle.
Means we have to factor 28 in a way that the length and width is less than 10 and 7.
28 = 2 x 2 x 7
Means 4 feet can be width and 7 feet the length of the area where tomatoes need to be planted.
So, we have feet less than outer garden means at each side
feet decreases.
Similarly, we have feet less width and at each side it is 1.5 feet.
Therefore, the border of petunias will be 1.5 feet wide on all sides.