This is a multi step problem. For this we do system of equations.
2.5x + 7y = 82.50
X+y = 24
To do the elimination method we have to make the y values equals to each other so we multiply the x+y=24 equation by 7
7x +7y = 168
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2.5x + 7y = 82.50
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4.5x = 85.50
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4.5. 4.5
X = 19
19 cats on Friday
Answer:
13 and 14.
Step-by-step explanation:
So we have two consecutive integers.
Let's call the first integer a.
Since the integers are consecutive, the other integer must be (a+1) (one more than the last one).
We know that the sum of the greatest integer (or a+1) and twice the lesser integer (a) is 40. Therefore, we can write the following equation:

The first term represents the greatest integer. The second term represents 2 times the lesser integer. And together, they equal 40.
Solve for a. Combine like terms:

Subtract 1 from both sides. The 1s on the left cancel:

Divide both sides by 3:

Therefore, a or the first integer is 13.
And the second integer is 14.
And we can check:
14+2(13)=14+26=40
Answer:
-243v^5
Step-by-step explanation:
(-3v)^5
= (-3)^5 * v^5
= (-3 * -3 * -3 *-3 * -3)* v^5
= -243v^5
Answer:
54 miles/hour
Step-by-step explanation:
His rate in miles per hour will be also his speed: to calculate the speed, we just need to divide the total number of miles travelled by the total number of hours, so we will have the average speed in the course:
Speed = 216 miles / 4 hours = 54 miles/hour
So the rate Max travelled is 54 miles per hour.
Answer: B. Jessie sold 2 cars in the first week and x number of cars in the second week, earning a commission of $400 on each car.
Step-by-step explanation:
The options include:
A. Jessie earned a total commission of $800 in the first week and x dollars in the second week.
B. Jessie sold 2 cars in the first week and x number of cars in the second week, earning a commission of $400 on each car.
C. Jessie sold 1 car in the first week, earning $800, and x number of cars in the second week, earning a total commission of $1,200.
D. Jessie earned a commission of $800 on each car in the first week and $400 on each car in the second week, selling x number of cars each week.
The situation that could be described by this expression will be option B "Jessie sold 2 cars in the first week and x number of cars in the second week, earning a commission of $400 on each car". This will be:
= (400 × 2) + 400(x)
= 800 + 400x