Answer: My friend has sold 7 subscriptions more than me after 5 weeks.
Step-by-step explanation: Given that me and my friend are selling magazine subscriptions for a fundraiser. After w weeks, I have sold (3w+4) subscriptions and your friend has sold (5w+1) subscriptions.
We are to find the number of subscriptions that my friend has sold more than me after 5 weeks.
We have
the number of subscriptions sold by me after 5 weeks will be
and the number of subscriptions sold by my friend after 5 weeks will be
Therefore,
Thus, my friend has sold 7 subscriptions more than me after 5 weeks.
Answer:
B'(16,14)
Step-by-step explanation:
First find the coordinates of the vertex B. The center of the square M is the midpoint of the diagonal AC. Since A(2,7) and C(8,1), the center has coordinates
Point M is also the midpoint of the diagonal BD. Let B has coordinates (x,y), then
Hence, B(8,7).
Now, the dilation by a scale factor 2 with the center of dilation at the origin has the rule
(x,y)→(2x,2y).
Thus,
B(8,7)→B'(16,14).
Answer:
60°
Step-by-step explanation:
This questions tests our knowledge on arcs and arc measures.
-Arc measure is the angle that an arc makes with the circle's center.
-The arc measure is proportional to the arc.
#The sum of the 3 arcs is x+2x+3x=6x
Given a circle has 360°, the arc measurement x can be calculated as:
Hence, the arc measurement x is 60°
The price of less expensive equipment is $1575.
Step-by-step explanation:
Let,
Price of one equipment = x
Price of other equipment = y
According to given statement;
x+y=4000 Eqn 1
x = y+850 Eqn 2
Putting Eqn 2 in Eqn 1
Dividing both sides by 2;
Putting y=1575 in Eqn 2;
The price of less expensive equipment is $1575.
Keywords: linear equation, substitution method
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