11. # of hot dogs= 2s
12. The amount of materials= 4w
13. y= 1.10m + 2
14. t= 0.08d
15. c= 0.25p
16. b= 0.05t + 49
Answer:
m∠ABC = 45°
Step-by-step explanation:
See the attached figure.
As shown in the figure
Line C B extends through point D to form the exterior angle that is 135 degrees.
So, m∠ABD = 135°
But m∠ABC + m∠ABD = 180°
∴m∠ABC = 180° - m∠ABD = 180° - 135°= 45°
Also, we should know that
m∠ABD = m∠BAC + m∠ACB
So, m∠ACB = 135° - 75° = 60°
========================================
<u>Very important note:</u>
If we replaced the location of B and C
SO, m∠ABC = 60° and m∠ACB = 45°
=========================================
Answer:
The solution in point form is (9,7) and the equation would be x+9, y=7
Step-by-step explanation:
By using moving the -4y to the right side and by flipping the signs you can turn the equation -x-4y=-37 into x=37-4y.
With this new equation you can use the substitution method and replace the x in -2x-5y=-53 with 37-4y, making it look like this: -2(37-4y)-5y=-53.
Then you solve for y getting y=7.
With the value of y, you can plug that into the equation x=37-4y so it will look like x=37-4(7)
Then you solve for x getting x=9
And with that you get the point (9,7)
Answer: $172.50
Step-by-step explanation: Method 1:
The original price of the item is $230.
The discount is 25%.
Let's find 25% of $230.
25% of $230 = 0.25 * $230 = $57.50
The discount amount is $57.50.
Now we subtract the amount of the discount from the original cost.
Sale price = $230 - $57.50 = $172.50
Method 2.
The original price is $230.
That means that $230 is 100% of the price since 100% of a thing means the entire thing.
Since the discount is 25% of the price, we subtract 25% from 100%, 100% - 25% = 75%.
The sale price is 75% of the original price.
Now we find 75% of $230.
75% of $230 = 0.75 * $230 = $172.50
Answer:
6%
Step-by-step explanation:
43.50 / 725 x 100 = 6%
