Answer:
150th customer
Step-by-step explanation:
To find this we would need the lcm lowest common factor of 30 and 75
LCM 30 = 2,5,3,1
LCM 75 = 3,5,5
H.C.F = 2,3,5,5
= 150
the 150th custome would be getting both gift.
<h3>
Answer: Choice D</h3>
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Explanation:
The inequality sign has an "or equal to", which means the boundary line will be solid. We can rule out choices B and C because they have dashed boundary lines.
A solid boundary line means that points on the boundary are part of the solution set.
Now let's see what happens when we plug in a point like (x,y) = (4,0). This will tell us how to shade the blue region.

This is false because -20 is not larger than -1. It's the other way around.
This tells us the point (4,0) is not in the blue shaded region, and it's not on the boundary line either. We can rule out choice A because of this.
The only thing left is choice D, which is the final answer. I recommend plugging a point from this region into the inequality to confirm we have a true statement.
Answer:
$3,700
Step-by-step explanation:
1,295/7=185
185x4=740
185x9=1,665
740+1,295+1,665=3,700
Hope this helps! :)
Answer:
B
Step-by-step explanation:
Consider all options:
A. Transformation with the rule

is a reflection across the x-axis.
Reflection across the x-axis preserves the congruence.
B. Transformation with the rule

is a dilation with a scale factor of
over the origin.
Dilation does not preserve the congruence as you get smaller figure.
C. Transformation with the rule

is a translation 6 units to the right and 4 units down.
Translation 6 units to the right and 4 units down preserves the congruence.
D. Transformation with the rule

is a clockwise rotation by
angle over the origin.
Clockwise rotation by
angle over the origin preserves the congruence.
Answer:
Question 1:
(A) 22.5 weeks
Question 2:
(A) 35
Step-by-step explanation:
Question 1:
Given:
The line of best fit is given as:

Where,

Height of the puppy (y) = 54 cm
Now, plug in the value of 'y' and solve for 'x'. This gives,

Therefore, the puppy was 22.5 weeks old when he was 54 cm tall.
Question 2:
The line of best fit is given as:

Where,

Number of times at bat (x) = 175
Now, plug in the value of 'x' and solve for 'y'. This gives,

Therefore, the number of hits is 35 to the nearest whole number.