The smith is generate one and a half times as much as their neighbors, the joneses. Together, the two households produce 15 bags of trash each month. How much trash does each household generate ?
Answers
Answer:
The Smith generates 6 bags of trash per month, and the Joneses generates 6 bags of trash per month.
Step-by-step explanation:
We know that
- The Smith generates one and a half times trash as much as the Joneses.
- Both families generate 15 bags of trash per month.
To solve this problem, we need to transform each statement in a equation.
Where represents the Smith, and
represents the Joneses.
This expressions expresses the one and a half difference between the two families.
If both families produce 15 bags of trash, the equation would be
Now, we replace the first equation into the second one and solve for
Then, we replace this value into one equation to find the other variable
Therefore, the Smith generates 6 bags of trash per month, and the Joneses generates 6 bags of trash per month.
S=1.5J
S + J = 15
1.5J + J = 15
2.5J = 15
J = 6
S = 9
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Answers
B) have the same vertex
C) be congruent.
Explanation:
Vertical angles are defined as opposite angles that share only a vertex. This definition is why B is true.
Since they are opposite angles, that means that the sides of one angle will be opposite the sides of the other; since this is true, the angles must be congruent.
Answer: Vertical angles must have same vertex and be congruent.
Step-by-step explanation:
When two lines crosses each other , the opposite angles are known as vertically opposite angles or vertical angles where "vertical" refers to the vertex .
Also we know that Vertical angles theorem says that vertical angles are always congruent.
Therefore, Vertical angles must have same vertex and be congruent.
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Answer: 1 large door.
Step-by-step explanation:
You know that the lenght of each door for the small cabinets is:
Since the lenght of the doors for the large cabinets are 3.9 times as long as the doors for the small candidates, the lenght of any of these doors is:
The lenght of the board is 11 feet, so you need to convert it to inches:
Then, the number of large doors that can be cut from that board is:
So, 1 large door can be cut from that board.
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Beef:Pork = 3 : 1
Total ratio = 3 + 1 = 4
Amount of pork: Fraction of Pork = 1/4 of the whole meat
(1/4)*5 = 5/4 = 1.25
Amount of Pork = 1.25 pounds.
Hope this explains it.