Answer:
y=6
Step-by-step explanation:
X+7=-8
You are trying to get x on its own so you will subtract 7 from both sides.
x+7-7=-8-7
This simplifies to x= -8-7
A negative plus a negative equals a negative. So -8-7 equals -15
Your final answer is x=-15
Answer:
Time taken by Anna = x = 5.6 hours
Explanation:
Strategize. Let x = Anna's time.
We know that, d = s*t
Where,
d is distance
s is speed
t is time
Distance covered by Allen = 7 times 40 = 7*40 = 280
Distance travelled by Anna = x times 50 = 50x
Set up. 7(40)=x(50)
280 = 50x
Solve for x
x = 
x = 5.6 hours
Identify. Anna's time is the unknown.
Solve. x = 5.6
Check. 7(40)=5.6(50)
280 = 280
You're right!
That's the final answer.
I hope it will help you.
Answer:
2 right, 4 down, y-axis
Step-by-step explanation:
Reflection across the y-axis changes the left-right orientation. Reflection across the x-axis changes the up-down orientation. Translation before the reflection can put the figure in a place so that the reflection gives its final location. Translation does not affect the orientation.
__
We observe that the north-south wall is on the west side of the building at Site A, and on the right side at Site B. That means the orientation was changed left-to-right, so reflection was across the y-axis.
If the reflection occurred last, then the position before reflection must have the northeast corner moved from (-3, 5) to (-1, 1). That is, the x-coordinate is increased by 2, and the y-coordinate was decreased by 4.
The building at site A was translated <u><em> 2 </em></u> units right and <u><em> 4 </em></u> units down; then it was reflected across the <u><em> y-axis </em></u>.
Answer:
56
Step-by-step explanation:
Given that Lydia is painting flower vases.
Paint required for painting one flower case = 3/16 quart
total paint available with Lydia = 21/2 quart
We have to find the no of flower cases that can be painted.
This is a problem of direct variation since when no of flower cases increase paint required also increases.
3/16 quart for 1 flower case
Hence 21/2 quart for 21/2 divided by 3/16
= 21*16/(3*2) (by rule for fraction division)
= 7(8)
= 56
