5. How long will it take Greg to earn $500.00? Round to the nearest hour
1 answer:
Answer:
61 hours
Step-by-step explanation:
See the attached figure to better understand the problem
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
To find out the constant of proportionality k , divide the variable y (total earned) by the variable x (number of hours)
<em>Kevin's wage</em>
Take any point from the table
I take the point (2,16.50)
The equation of the proportional relationship is equal to
substitute the value of k
For y=$500.00
substitute the value of y in the equation and solve for x
Divide by 8.25 both sides
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Answer:
P(N)=0.3
Step-by-step explanation:
Given: P(M)= 0.46, P(M and N)=0.138
Using P(M) ×P(N)= P(M and N)
⇒0.46×P(N)= 0.138
⇒P(N)=
⇒P(N)=0.3
Answer:
m∠QPM=43°
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m∠NPQ=m∠MPN+m∠MPQ
we have
m∠NPQ=(9x-25)°
m∠MPN=(4x+12)°
m∠MPQ=(3x-5)°
substitute the given values and solve for x
(9x-25)°=(4x+12)°+(3x-5)°
(9x-25)°=(7x+7)°
9x-7x=25+7
2x=32
x=16
Find the measure of angle QPM
Remember that
m∠QPM=m∠MPQ
m∠MPQ=(3x-5)°
substitute the value of x
m∠MPQ=(3(16)-5)=43°
therefore
m∠QPM=43°
Answer: The answer is (D) Reflection across the line y = -x.
Step-by-step explanation: In figure given in the question, we can see two triangles, ΔABC and ΔA'B'C' where the second triangle is the result of transformation from the first one.
(A) If we rotate ΔABC 180° counterclockwise about the origin, then the image will coincide with ΔA'B'C'. So, this transformation can take place here.
(B) If we reflect ΔABC across the origin, then also the image will coincide with ΔA'B'C' and so this transformation can also take place.
(C) If we rotate ΔABC through 180° clockwise about the origin, the we will see the image will be same as ΔA'B'C'. Hence, this transformation can also take place.
(D) Finally, if we reflect ΔABC across the line y = -x, the the image formed will be different from ΔA'B'C', in fact, it is ΔA'D'E', as shown in the attached figure. So, this transformation can not take place here.
Thus, the correct option is (D).
