Complete Question
We can calculate EEE, the amount of euros that has the same value as DDD U.S. Dollars, using the equation
E= 17/20 D
a) How many euros have the same value as 1 U.S. Dollar? euros
b) How many U.S. Dollars have the same value as 1 euro? dollars
Answer:
a) 0.85 euros
b) 1.18 dollars
Step-by-step explanation:
The equation is given as:
E= 17/20 D
a) How many euros have the same value as 1 U.S. Dollar? euros
E = 17/20D
D = 1 dollar
Hence:
E = 17/20 × 1
E = 0.85 euros
b) How many U.S. Dollars have the same value as 1 euro? dollars
E = 17/20D
E = 1 euro
1 = 17/20D
D = 1 ÷ 17/20
D = 1 × 20/17
D = 1.1764705882 dollars
D = 1.18 dollars
So,
Simply divide 12 by 18.
The experimental probability of tossing heads was 2 out of 3.
Answer:
With respect to the reference angle, one leg is the adjacent leg, or the leg right next to the reference angle; and the other leg is the opposite leg, or the leg on the opposite side of the triangle. If two triangles are similar, the ratios of corresponding sides are equal.
When calculating consecutive integers, the smaller number is x and the larger number is (x + 1).
So the equation you can use is x + (x + 1) = 5 + 3(x + 1)
This is because the sum of the consecutive integers are equal to 5 more than 3 times the larger integer.
Now simplify:
x + (x + 1) = 5 + 3(x + 1)
2x + 1 = 5 + 3(x + 1)
2x + 1 = 5 + 3x + 3
2x + 1 = 3x + 8
Now isolate the variable:
2x + 1 = 3x + 8
Subtract 2x from both sides:
1 = x + 8
Subtract 8 from both side:
-7 = x
x = -7
So the smaller number is -7 and the larger number is -6.
Now check your answer:
-7 + (-7 + 1) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 - 6 = 5 + 3(-7 + 1)
-13 = 5 + 3(-7 + 1)
-13 = 5 + 3(-6)
-13 = 5 + (-18)
-13 = 5 - 18
-13 = -13
This works!
So the integers are -7 and -6.
