Consider the attached tree.
You start from the root, and with each level you create a sub-branch for each of the choices you have.
So, the root has two children, white and multigrain bread.
Each of those children has three children, because you have three meat choices
Each of those children has two children, because you have two cheese choices.
Then, you identify all the sandwiches by choosing a leaf, and read the label that lead you there.
For example, leaf number 4 represents a sandwich with white bread, turkey and provolone.
Hello! We know that we have $400. So 23 ten dollar bills is equal to $230. How? We multiply 23 x 10 and get $230. Then, we have 46 dimes. A dime is worth 10 cents so we multiply 46 x 10 which equals $4.60. And of course we have the 19 cents. Now we add. 400 + 230 + 4.60 + 19 = $653.6.
Hope this Helps!
P^-4 x -5p
In properties of exponents, if the exponent is negative then you move the variable with the negative exponent to the denominators place and it changes to positive and the numerator becomes 1.
p^-4=1/(p^4)
Also, if no exponent is present it is understood to be 1.
Keeping this in mind,
p^-4 x -5p
1/(p^4) x -5p^1 substituted p^-4 by 1/p^4 and added ^1 to -5p
-5p^1/p^4 multiplied-5p^1 to 1
-5/p^3 simplified
35 has 4 divisors, hence two factor pairs: 1*35 and 5*7. Each corresponds to a set of perfect squares that differ by 35
One pair is ((35±1)/2)^2 = {17^2, 18^2} = {289, 324}
The other is ((7±5)/2)^2 = {1^2, 6^2} = {1, 36}
Answer:
the price for one pretzel was $1.75
Step-by-step explanation:
d for drinks
p for pretzel
3d + 3p = 9
3d = 9 -3p
d = 3 - p
replace d = 3 - 9 into 4d + 2p = 8.5
4d + 2p = 8.5
4(3 - p) + 2p = 8.5
12 - 4p + 2p = 8.5
-2p = 8.5 - 12
-2p = -3.5
p = 1.75
