<span>A quarter is equivalent to 25 cents or $0.25 and a nickel is equal to 5 cents or $0.05. In the given in this item, if there are x nickels then, there are x + 7 quarters. With these and the total amount known, we can now compute for the value of x.
(x)(0.05) + (x + 7)(0.25) = 2.65
Simplifying,
0.05x + 0.25x + 1.75 = 2.65
Simplifying further,
0.3x = 0.9
The value of x from the equation is 3. Hence, there are 10 quarters.</span>
Answer:
C
Step-by-step explanation:
What exactly is your question?
Answer:
x = 43
Step-by-step explanation:
The sum of angles in a triangle is equal to 180.
x + 2x + x + 8 = 180 add like terms
4x + 8 = 180 subtract 8 from both sides
4x = 172 divide both sides by 4
x = 43
To find the measure of each angle, replace x with 43
Answer:
The depth is 127 inches.
Step-by-step explanation:
The stairway and its depth can be compared to a right angled triangle. Let the depth be represented by d.
But,
12 inches = 1 foot
20 ft 6 in = 20 + 
= 20.5 feet
So that applying the appropriate trigonometric function, we have;
Sin θ = 
Sin 31º = 
d = 20.5 x Sin 31º
= 20.5 x 0.5150
d = 10.5575
d ≅ 11 feet
Therefore,
d = 10.5575 feet = (10.5575 x 12) inches
= 126.69 inches
The depth is 127 inches.
