S x 10. S stands for the packages of sponges, and 10 stands for the number of sponges in each package. I hope this helps!
We are given with a function equal to f(x) = x^4. When the function is changed to -f(1/2x), the function changes to -f(1/2x) = (1/2 x)^4 equal to (-1/16 x^4). The graph of the function should be opening the opposite way and has a narrower plot. answer is C
Length (L): w + 3.5
width (w): w
Perimeter (P) = 2L + 2w
31 = 2(w + 3.5) + 2(w)
31 = 2w + 7 + 2w
31 = 4w + 7
24 = 4w
6 = w
Length (L): w + 3.5 = (6) + 3.5 = 9.5
Answer: width = 6 inches, length = 9.5 inches
There are 72 tokens with Riley and 63 tokens with Erik
<em><u>Solution:</u></em>
Riley and Erik have earned a total of 135 tokens to buy items in the school store
Total number of tokens = 135
The ratio of the number of tokens that Riley had to the number of tokens that Erik has is 8 to 7
Number of tokens with Riley : Number of tokens with Erik = 8 : 7
Let the number of tokens with Riley be 8x
Let the number of tokens with Erik be 7x
Since, Total number of tokens = 135
number of tokens with Riley + number of tokens with Erik = 135
8x + 7x = 135
15x = 135
x = 9
Therefore,
Number of tokens with Riley = 8x = 8(9) = 72
Number of tokens with Erik = 7x = 7(9) = 63
Thus there are 72 tokens with Riley and 63 tokens with Erik
9514 1404 393
Answer:
- x² = y + 16
- 4y - 1 = 7x
- (5, 9)
Step-by-step explanation:
Writing equations from words is mostly a matter of understanding what the English words mean.
If the first number is x, then the square of the first number is x². That is said to be equal to the sum of the second number (y) and 16:
x² = y + 16 . . . . the first equation
The wording "the difference of A and B" is usually intended to be interpreted to mean A-B. Here, we have the difference of 4 times the second number (4y) and 1, so ...
4y -1
This is equal to the first number (x) multiplied by 7, so ...
4y -1 = 7x . . . . the second equation
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These can be solved a variety of ways. When no method is specified, I like to use a graphing calculator. It shows the only integer solution for this pair of equations is ...
(x, y) = (5, 9)
