Given that the associative property of multiplication says that you can group the numbers in any combination, we can reorganize the expression as: 7·(10·3)=210. So the answer would be the first option.
Answer:
1) The amount the family spent on pizza is $300
2) The amount the family spent on soda is $43.2
3) The amount the family spent in all is $343.2
Step-by-step explanation:
The number of pizzas bought by the family = 24
The price of each pizza = $12.50
The number of bottles of soda the family bought = 36
The price of each bottles of soda = $1.20
1) The amount the family spent on pizza = 24 × $12.50 = $300
2) The amount the family spent on soda = 36 × $1.20 = $43.2
3) The amount the family spent in all = The amount the family spent on pizza + The amount the family spent on soda
∴ The amount the family spent on soda = $300 +$43.2 = $343.2.
C(a,b), because the x-coordinate( first coordinate) is a (seeing as it is situated directly above point B, which also has an x-coordinate of a) and the y-coordinate ( second coordinate) is b (seeing as it is situated on the same horizontal level as point D, which also has a y-coordinate of b)
the length of AC can be calculated with the theorem of Pythagoras:
length AB = a - 0 = a
length BC = b - 0 = b
seeing as the length of AC is the longest, it can be calculated by the following formula:
It is called "Pythagoras' Theorem" and can be written in one short equation:
a^2 + b^2 = c^2 (^ means to the power of by the way)
in this case, A and B are lengths AB and BC, so lenght AC can be calculated as the following:
a^2 + b^2 = (length AC)^2
length AC = √(a^2 + b^2)
Extra information: Seeing as the shape of the drawn lines is a rectangle, lines AC and BD have to be the same length, so BD is also √(a^2 + b^2). But that is also stated in the assignment!
