Answer:
Step-by-step explanation:
We have total 1200 wildflowers in first year that is first term a is 1200
We have to find sigma notation showing the infinite growth of the wildflowers.
Formula for infinite sum of GP is 
Here, 
On substituting the values in the formula of sum we get:
On simplification we get:
Therefore, total sum of wildflowers 1600.
You have to use the Pythagorean theorem a squared plus b squared is c squared so 13 squared plus 18 squared equals c squared. 13x13=169 18x18=324 169+324=493 so c squared is 493 to get c you square root 493 which equals 22.2 so the diagonal, c, is 22.2 centimeters long
Answer:
Add 6 each time.
Step-by-step explanation:
Figure 1 has 4 tiles.
To go from figure 1 (4 tiles) to figure 2 (10 tiles), you added 6 tiles.
To go from figure 2 (10 tiles) to figure 3 (16 tiles), you added 6 tiles.
∴ the rule is to add 6 tiles each time.
Answer:
It’s a 1/2 chance it’s heads.
Step-by-step explanation:
Because there’s two sides
Answer:
Hotdog: $3.00
Hamburger: $4.00
Step-by-step explanation:
For the first time that Bob buys food, we can make an equation to find how much a single hotdog and a single hamburger costs, where:
x = cost of a hotdog
y = cost of a hamburger
He bought 2 hotdogs and 1 hamburger for $10, so the equation for his first time buying food is:
2x + y = 10
For the second time buying food, he bought 1 hotdog and 3 hamburgers for $15, so his equation would be:
x + 3y = 15
To find the value for x and y we need to solve this system of equations using the two equations we just came up with. We can do this multiple ways, but I'll be demonstrating the substitution method.
Using the second equation, we can solve for x by simply subtracting 3y from both sides:
x = 15 - 3y
We can then insert this value of x into the first equation so that way we are only dealing with one variable to solve - y:
2(15-3y) + y = 10
Distribute out the 2 into the paratheses, combine like terms, and then solve for y:
30 - 6y + y = 10
30 - 5y = 10
-5y = -20
y = 4
This means the cost for one hamburger is $4. But we still need to find the price of one hotdog, so we can insert this value of y into the equation we came up with earlier for x, and then solve for x:
x = 15 - 3y
x = 15 - 3(4)
x = 15 - 12
x = 3
So the price of one hotdog is $3 and the price of one hamburger is $4. Hope this helps.
