Jackie purchased 3 bottles of water and 2 cups of coffee for a family for $7.35. brian bought 4 bottles of water and 1 cup of coffee for his family for $7.15. how much does each bottle of water cost? how much does each cup of coffee cost? i need this done
Cost of each cup of coffee is $1.59.
Cost of each bottle of water is $1.39.
Let C be the cost of each cup of coffee and B be the cost of each bottle of water.
We have been given that Jackie purchased 3 bottles of water and 2 cups of coffee for the family. So the cost of 3 bottles of water will be 3B and cost of 2 cups of coffee will be 2C.
As Jackie spent $7.35 on these items, so we can represent this information in an equation as:
We are also told that Ryan bought 4 bottles of water and 1 cup of coffee for his family. So the cost of 4 bottles of water will be 4B and cost of 1 cup of coffee will be C.
As Ryan spent $7.15 on these items, so we can represent this information in an equation as:
To find the cost of one cup of coffee we will solve our system of equations using substitution method.
From equation (2) we will get,
Substituting this value in equation (1) we will get,
Upon using distributive property we will get,
Let us combine like terms.
Upon multiplying both sides of our equation by -5 we will get,
Therefore, the cost of one bottle of water is $1.39.
Upon substituting B=1.39 in equation (2) we will get,
Upon subtracting 5.56 from both sides of our equation we will get,
Therefore, the cost of each coffee is $1.59.
the largest number of the four options is 1.8 x 10-2
you have it in scientific notation.
1.80 x 10-6 = 0.00000180
1.80 x 10-4 = 0.000180 (bigger, or "less small", than the former one)
1.8 x 10-2 = 0.0180. as you see. the "less small", or the biggest one of them all.
as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).
if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:
1.8 x (10)2 = 180
so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.
the answer is b: 18
use the pythagorean theorem to .
plug 18 for "r"
the 2 legs are 18 and 24
18 is the radius