+1886 1. One day, a person went to a horse racing area. Instead of counting the number of humans an horses, he conuted 74 heads and 196 legs. How many humans and horses were there?
A. 37 humans and 98 horses
B. 24 horses and 50 humans
C. 31 horses and 74 humans
D. 24 humans and 50 horses
2. Y=log x If y=10, then what is x?
A. 10
B. 1
C. 100
D. 10^2
3. What is 10*9*8*7*6*5*4*3*2*1?
A. 10! or 3628800
B. 100
C. 1000
D. 10^10
4. If 1/2x+1/2(1/2x+1/2(1/2x+1/2(1/2x+1/2...=ywhat does x equal?
A. 2/4
B. 1/2
C. 1/4
D. 1
5. What's the only place in this world who's fahrenheit and celsius degrees can be equal?
A. Alaska at -50 degrees
B. Antarctica at -40 degrees
C. Hawaii at 100 degrees
D. Anywhere that exceeds freezing point
6. If x*x+2x-35=0then x=?
A. -35
B. 2x^3
C. -5
D. 7
7. What is the square root of 3 to the square root of 2 power times the square root of 3 to the negative square root of 2 power?
A. 100
B. 10
C. 1
D. 10^3
8. What is the square root of 2 to the square root of 2 power to the square root of 2 power?
A. 2
B. 4
C. 8
D. 16
9. What is the square root of 2 to the negative 9 plus 3 power?
A. 1/4
B. 1/8
C. 2/8
D. 1/2
10. Draw 2 supplementary angles. One angle is x-15 degrees and one is 2x degrees. What is the value of x in degrees?
A. 65 degrees
B. 130 degrees
C. 100 degrees
D. 75 degrees
+37084 #1 x = #horses 74-x = #humans
4x = horse legs 2(74-x) = human legs (assuming everyone has all of thier limbs)
4x + 2(74-x) = 196
4x+148-2x=196
2x=48
x=24 = horses 74-24=humans=50
#2 doesn't have an answer it is 10^10
#3 A
#5 at -40 degrees F = degrees C
+9665 #4 have no answer, there are 2 variables but only 1 representation.
#6.
\(x\times x + 2x - 35 = 0\\ x^2 + 2x - 35 = 0\\ (x+7)(x-5)=0\\ x=-7\\ \text{OR}\\ x=5\)
None is the answer for #6.
#7.
\(\sqrt3^{\sqrt2}\times \sqrt3^{(-\sqrt2)}\\ =\sqrt3^{\sqrt2} \times \dfrac{1}{\sqrt3^{\sqrt2}}\\ = 1\)
#7 answer = C
#8.
\(\sqrt2^{\sqrt2^{\sqrt2}}\\ \text{First we need to find what's }\sqrt2^{\sqrt2}\\ \sqrt{2}^{\sqrt{2}}\\ = 2^{\frac{1}{2}^\sqrt{2}}\\ = 2^{\frac{\sqrt2}{2}}\\ \mbox{We will do the same thing to }\sqrt2^{\sqrt2^{\sqrt2}}\\ \sqrt2^{\sqrt2^{\sqrt2}}\\ ={2^{\frac{\sqrt2}{2}}}^{\sqrt2}\\ =2^{\frac{\sqrt2^2}{2}}\\ = 2^1\\=2\)
#8 answer = A
#9.
\(\sqrt2^{-9+3}\\ =2^{\frac{-6}{2}}\\ =2^{-3}\\ =\frac{1}{8}\)
#9 answer = B
#10. Given the 2 angles are supp. Therefore the sum of 2 angles is 180 degrees.
\((x-15)^{\circ}+2x^{\circ}=180^{\circ}\\ (3x-15)^{\circ}=180^{\circ}\\ 3x^{\circ}=195^{\circ}\\ x^{\circ}=65^{\circ}\)
Therefore #10 answer = A
