Answer:
Step-by-step explanation:
a. 0.04... 4/100... 0.04
b. 4.25... 4 25/100... 4.25
c. 4... 4/100... 0.04
Answer:
80%
Step-by-step explanation:
24/30 = x/100
100/30= 3 1/3
24 x 3 1/3= 80
complete question:
The sum of the digits of a two-digit numeral is 8. If the digits are reversed, the new number is 18 greater than the original number. How do you find the original numeral?
Answer:
The original number is 10a + b = 10 × 3 + 5 = 35
Step-by-step explanation:
Let
the number = ab
a occupies the tens place while b occupies the unit place. Therefore,
10a + b
The sum of the digits of two-digits numeral
a + b = 8..........(i)
If the digits are reversed. The reverse digit will be 10b + a. The new number is 18 greater than the original number.
Therefore,
10b + a = 18 + 10a + b
10b - b + a - 10a = 18
9b - 9a = 18
divide both sides by 9
b - a = 2...............(ii)
a + b = 8..........(i)
b - a = 2...............(ii)
b = 2 + a from equation (ii)
Insert the value of b in equation (i)
a + (2 + a) = 8
2a + 2 = 8
2a = 6
a = 6/2
a = 3
Insert the value of a in equation(ii)
b - 3 = 2
b = 2 + 3
b = 5
The original number is 10a + b = 10 × 3 + 5 = 35
Answer:
y = -140
Step-by-step explanation:
Y varies directly with x
y = kx
We know y = -20 when x =2, we can solve for k
-20 = k*2
Divide each side by 2
-20/2= 2k/2
-10 =k
y = -10x
Now we want to find y when x = 14
y = -10 *14
y = -140
Answer:
Step-by-step explanation:
In any triangle, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse (longest side) of the triangle. (a/h)
The angle marked 40 degrees has an adjacent side of 
and the hypotenuse of the triangle is 60.
Therefore, we have the equation:
