FORMULAS: PLEASE ANSWER ALL PROBLEM The expression b/c = b/c is an example of a(
ID: 3121088 • Letter: F
Question
FORMULAS:
PLEASE ANSWER ALL PROBLEM
The expression b/c = b/c is an example of a(n)
A. identity.
B. root.
C. square root.
D. reciprocal.
Suppose you're given the formula n = 3m – 2l. If you know that l = m + 2, how could you rewrite the formula?
A. n = 2m – 4
B. n = m + 2
C. n = 2m + 2
D. n = m – 4
Find the area of a triangle with a base of 10 in. and an altitude of 14 in. (The formula for the area of a triangle is A = bh ÷ 2.)
A. 140 sq in.
B. 280 sq in.
C. 24 sq in.
D. 70 sq in.
The expression a = 3b2 + 2 can be written in words as the quantity a is equal to
A. three times the quantity two plus b squared.
B. two plus the square root of three × b.
C. two more than three times the quantity b squared.
D. three times the square root of b plus two.
The perimeter of an isosceles triangle is p = 2a + b. Find the numerical value of a if p = 10 and b = 3.
A. 61/2
B. 13
C. 7
D. 31/2
Find the value of x in the following equation:
x/2 + 2x/5 = 18
A. x = 11/2
B. x = 2
C. x = 20
D. x = 255/7
Solve the equation cx/2 = af/g for x.
A. x = 2cg/af
B. x = gaf/2c
C. x = caf/2g
D. x = 2af/cg
Solve the equation 7x – 8a = 3x + 24a for x.
A. x = 32a
B. x = 3a
C. x = 8a
D. x = 24a
Suppose you're given the formula R = s +2t. If you know that s is three times greater than t, how could you rewrite the formula?
A. R = 5t
B. R = 5s
C. R = 3(s + 2t)
D. R = 3(s + t)
If the area A of a triangle is 60 sq m (square meters) and the base b is 20 m (meters), what is the altitude h?
A. 2/3 m
B. 11/2 m
C. 6 m
D. 3 m
The distance h a body will move in a free fall is expressed by the formula h = 1/2 gt 2. If g = 980 cm per sec per sec and t = 20 sec, the distance h is
A. 49,000 cm.
B. 196,000 cm.
C. 368,000 cm.
D. 9,800 cm.
Simply put, an equation shows
A. that one thing is equal to another.
B. a method for finding the value x.
C. a rule for finding an unknown quantity.
D. the value of an unknown quantity.
Solve the expression for x: (4 – 2) (x – 2) = 4x – 8
A. x = 0
B. x = 2
C. x = –2
D. x = 6/5
14. Solve the following equation for 2 + 4y – 3 = 11
A. y = 36
B. y = 6
C. y = 3
D. y = 18
Calculate the current in a circuit whose electromotive force is
100 volts and resistance is 5 Ohms. Use the formula i = e/r.
A. 500 A
B. 20 A
C. 105 A
D. 0.05 A
Find the value of y in the formula y = 5a – 3b + c, if a = 12, b = 4, and c = 8.
A. 64
B. 40
C. 56
D. 80
The formula for perimeter is p = 2 l + 2 w. If the perimeter p of a rectangle is 200 mm (millimeters) and the width w = 30 mm, what is l?
A. 60 mm
B. 140 mm
C. 100 mm
D. 70 mm
Find the area of a circle with a radius of 6 ft. Round off your answer to one decimal point. (The formula for the area of a circle is A = r2.)
A. 59.2 sq ft
B. 355.3 sq ft
C. 113.1 sq ft
D. 18.8 sq ft
The formula for finding the volume of a pyramid is v = bh/3. What formula should you use to find the altitude h?
A. h = v/3b
B. h = 3b/v
C. h = 3v/b
D. h = 3bv
20. Find the current in a circuit if the power is 500 W (watts) and the resistance is 25 ohms. Round off your answer to two decimal places. Use the formula I = P/R
A. 0.22 A
B. 20 A
C. 0.05 A
D. 4.47 A
Explanation / Answer
1) b/c = b/c will be an identity. It indicates universal truth.
2) n = 3m – 2l and l = m+2
Putting values:
n = 3m - 2(m+2)
n = 3m - 2m - 4
n = m - 4...Option D
3) Area = bh/2 = 10 * 14/2 = 70 in^2
4) Option C is the answer as:
a = 3b^2+2
It is 2 more than 3 times b squared.
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