Answer:
n = (123 - 3a) / 0.1
Step-by-step explanation:
Given:
3a + 0.1n = 123
Solve for n
3a + 0.1n = 123
Subtract 3a from both sides
3a + 0.1n - 3a = 123 - 3a
0.1n = 123 - 3a
Divide both sides by 0.1
n = (123 - 3a) / 0.1
The resulting equation if 3a + 0.1n = 123 is solved for n is n = (123 - 3a) / 0.1
Answer:
a) 90 stamps
b) 108 stamps
c) 333 stamps
Step-by-step explanation:
Whenever you have ratios, just treat them like you would a fraction! For example, a ratio of 1:2 can also look like 1/2!
In this context, you have a ratio of 1:1.5 that represents the ratio of Canadian stamps to stamps from the rest of the world. You can set up two fractions and set them equal to each other in order to solve for the unknown number of Canadian stamps. 1/1.5 is representative of Canada/rest of world. So is x/135, because you are solving for the actual number of Canadian stamps and you already know how many stamps you have from the rest of the world. Set 1/1.5 equal to x/135, and solve for x by cross multiplying. You'll end up with 90.
Solve using the same method for the US! This will look like 1.2/1.5 = x/135. Solve for x, and get 108!
Now, simply add all your stamps together: 90 + 108 + 135. This gets you a total of 333 stamps!
Answer:
your answer is 0.375
Step-by-step explanation:
19. 4/6 or 2/3 (lowest term) or 2:3 in ratio
20. 2/3 or 2:3 in ratio
21. 5/12 or 5:12 in ratio
22. 14
To get geometric mean, multiply the numbers then get the square root of the product (if there are two numbers), cube root (if there are three numbers), and so on. In this case, 7*28 = 196; √196 = 14
23. 10 ft : 2.5 ft.
Convert the values so that it will be similar. In this case, 30 inches is converted to ft.
24. 24 is the Perimeter of ABCDE.
ABCDE and FGHJK are similar shapes. Similar shapes have proportional measurements.
Now compute for the sides of ABCDE.
AB = 4; BC = ?; CD = ?; DE = ?; EA = ?
AB + BC + CD + DE + EA
4 + 4 + 5 + 6 + 5 = 24
Find BC:
AB/BC = FG/GH
4/BC = 8/8
8BC = 32
BC = 4
Find CD:
BC/CD = GH/HJ
4/CD = 8/10
8CD = 40
CD = 5
Find DE:
CD/DE = HJ/JK
5/DE = 10/12
10DE = 60
DE = 6
Find EA
DE/EA = JK/KF
6/EA = 12/10
12EA = 60
EA = 5
