Answer: 192 books
Step-by-step explanation:
2/3 + 1/4 = 11/12
16 remaining books = 1/12
16 x 11 = 176
176 + 16=192
Answer:
![y=1.94x](https://tex.z-dn.net/?f=y%3D1.94x)
13 glue sticks cost $25.22.
Step-by-step explanation:
4 blue sticks cost $7.76, this means that one glue stick costs
$7.76/4 = $1.94.
Let
be the cost of the glue sticks, and
be the number of glue sticks; then
![\boxed{y=1.94x}](https://tex.z-dn.net/?f=%5Cboxed%7By%3D1.94x%7D)
We can use this equation to find the cost of 13 glue sticks; we just put
into our equation and it gives:
![y=1.94(13)=25.22](https://tex.z-dn.net/?f=y%3D1.94%2813%29%3D25.22)
So 13 glue sticks cost $25.22.
Answer:
2.2
Step-by-step explanation:
To find a, you use a formula called the law of cosines:
The law of cosines tells us:
a^2 = b^2 + c^2 - 2bc cosA
So lets plug in the values:
a^2 = 4^2 + 3^2 -2(4)(3)cos(32)
a^2 = 25-24cos32
a^2 is roughly equal to 4.97
therefore a roughly equal to 2.2
Let
x---------------> number of <span>bulbs produced per year
n--------------> number of years
</span>we know that
the pattern can be modeled through the following equation
x=6*[2^(n-1)]
for n=1 year
x=6*[2^(1-1)]----------> 6 bulbs
for n=2 year
x=6*[2^(2-1)]----------> 12 bulbs
for n=3 year
x=6*[2^(3-1)]----------> 24 bulbs
for n=8 year
x=6*[2^(8-1)]----------> 6*128=768 bulbs
the answer is 768 bulbs