The percent of decrease on an item that went from $25 to $20 is 5 percent.
Answer:
Nine
Step-by-step explanation:
3 dollars for children tickets : x
5 dollars for adult tickets: y
Equation is:
3x+5y=57
Where 57 is the total amount spent
x+y=15
where 15 is the total number of tickets bought
3x+5y=57
5(x+y)=5(15)
___________________
3x+5y=57
5x+5y=75
minus the equations top to bottom=
-2x= -18
x= -18/(-2)
x=9
He bought a total of 9 children tickets
Answer:
Chad had 15 dollars left for gift C.
Step-by-step explanation:
Given:
Chad had total amount = 30 dollars.
Amount spend on gift A = 9 dollars.
Amount spend on gift B = 6 dollars.
To Find:
Amount Left for gift C = ?
Solution:
Total Amount = 30 dollars.
Total number of gifts = 3 i .e Gift A, Gift B , Gift C.
Total amount spend for Gift A and Gift B = Amount spend on gift A + Amount spend on gift B
∴ Total amount spend for Gift A and Gift B = 9 + 6
∴ Total amount spend for Gift A and Gift B = 15 dollars.
Now,
Amount Left for Gift C = Total Amount - Total amount spend for Gift A and Gift B.
∴ Amount Left for Gift C = 30 - 15
∴ Amount Left for Gift C = 15 dollars
Answer:
21.4 m
Step-by-step explanation:
Let x represent the sum of the tall metal, medium metal and short metal heights. Since the tall metal has a length of 1.44 m, and the ratio is in 9:8:7, hence:
(9/24) * x = 1.44
x = 3.84 m
For the medium metal pieces:
(8/24) * 3.84 = medium metal height
medium metal height = 1.28 m
For the short metal pieces:
(7/24) * 3.84 = short metal height
short metal height = 1.12 m
Total horizontal metal piece length = 3 * 1.8 m = 5.4 m
Total tall metal piece length = 2 * 1.44 m = 2.88 m
Total medium metal piece length = 5 * 1.28 m = 6.4 m
Total short metal piece length = 6 * 1.12 m = 6.72 m
Total length of metal = 5.4 + 2.88 + 6.4 + 6.72 = 21.4 m
Ok, so the set up would be 3x+8 = 5x-40. If you solve for x you can then enter it into the equation and get your answer.
So subtract 3x from 3x and 5x. That leaves you with 8 = 2x-40
Next, you add 40 to both sides leaving you with 48 = 2x
Now divide 2 from x and 48 which give x = 24
Enter the value of x into the equation 3x+8
3(24)+8
80
And because we know it is an acute angle, angle ABC = 80 degrees
