Answer: the box contained 9 square chocolates and 15 round chocolates.
Step-by-step explanation:
Let x represent the number of square chocolates contained in the box.
Let y represent the number of round chocolates contained in the box.
The box of chocolates contains square chocolates, which weigh 10g each and round chocolates which weigh 8g each. The combined weight of all the chocolates is 210g. It means that
10x + 8y = 210- - - - - - - - - - -1
The number of round chocolates is 3 less than twice the number of square chocolates. It means that
y = 2x - 3
Substituting y = 2x - 3 into equation 1, it becomes
10x + 8(2x - 3) = 210
10x + 16x - 24 = 210
26x = 210 + 24
26x = 234
x = 234/26
x = 9
y = 2x - 3 = 2 × 9 - 3
y = 18 - 3
y = 15
Answer:
The slope of the line is -5
The complete question in the attached figure
we know that
length side AB=8 units
length side DE=4 units
[ABC]=[DEF]*[scale factor]
then
[scale factor ]=[ABC]/[DEF]---------> 8/4--------> 2
the answer is
the scale factor for a dilation image of DEF to obtain ABC is 2
ANSWER
The length of the diagonal is 5 ft
EXPLANATION
The diagram of the rug with the diagonal is:
The diagonal and the sides form a right triangle, so we can use the Pythagorean theorem to find x, the length of the diagonal:
Speed = Distance / time:
Speed = 825 miles / 17 hours
Speed = 48.529 miles per hour. (Round the answer as needed).
Gas mileage = miles traveled / gallons used
Gas mileage = 825 miles / 38 gallons = 21.71 miles per gallon (Round answer as needed).
Unit rate of gas = Total money spend / gallons bought:
Unit rate of gas = $125 / 38 gallons = $3.289 per gallon.