Answer:
the length= 182 yards
Step-by-step explanation:
perimeter =550
width =93
length =x
perimeter of a rectangle = 2 length (2l)+ 2 width (2w)
550=2l+ 2(93)
550=2l+186
550-186=2l
364=2l
364/2 = 2l/2
182=l
therefore length(l) =182yards
Answer:
Natalie's age is 14
Sasha's age is 17
Step-by-step explanation:
Let
Sasha's age be "s", and
Natalie's age be "n"
<u>Sum of Sasha and Natalie is 31:</u>
s + n = 31
<u>Twice Natalie is 11 more than Sasha:</u>
2n = s + 11
We ca solve this equation for s first:
s = 2n - 11
We put this into first equation and solve for n first:
s + n = 31
2n - 11 + n = 31
3n = 31 + 11
3n = 42
n = 42/3 = 14
Natalie's age is 14
Also, s = 2n - 11
s = 2(14) - 11
s = 28 - 11
s = 17
Sasha's age is 17
Answer:
"Brand A costs approximately $0.21 per ounce, and Brand B costs approximately $0.18 per ounce."
In order to find the rounded cost per one item (in this case, per one ounce) Susan needs to divide the total price between the number of units and after that, round the result obtained up to the nearest cent.
Therefore:
Brand A
2.55$/12 ounces= 0.2125 $/ounce
As the third decimal digit, 2, is closer to 0 than to 9, then we maintain the second decimal digit as 1.
The price per unit of brand A after rounding it up is 0.21 $ per ounce
Brand B
1.45$/8 ounces= 0.1812
As the third decimal digit, 1, is closer to 0 than to 9, then we maintain the second decimal digit as 8.
The price per unit of brand B after rounding it up is 0.18 $ per ounce
Answer:
b. g(x) = ƒ(3x)
Step-by-step explanation:
We can use the graph to find the transformation which has been performed to obtain g.
g(x) is more stretched than x which means the function values are multiplied by some integer to obtain g(x). <u>This eliminates the options a and d.</u>
Now to check which factor is used to transform the function f(x) we can divide the x-coordinates of the points of new and old function.
So,
6/2 = 3
-6/-2 = 3
The function is stretched by a factor of 3.
Hence, the correct answer is:
b. g(x) = ƒ(3x) ..
