2. the price of milk is $4.00 a gallon. the price decreases by 24%, what is the new price? a. $0.96 b. $3.04…
2. the price of milk is $4.00 a gallon. the price decreases by 24%, what is the new price? a. $0.96 b. $3.04 c. $3.76 d. $3.96 e. $4.96 5. the greatest common factor of 18, 45, and 81 is: a. 3 b. 6 c. 9 d. 12 e. 18 31. a rectangular prism is 21 ft tall and has a square base with a width of 8 ft. what is 1/4 of the volume of the figure in cubic ft? a. 336 b. 672 c. 1,008 d. 1344 e. 1680 27. the circle below has a center point c. the length of ac is the radius. the area of the circle is 30.25π cm squared. what is the circumference of the circle? a. 2π b. 5.5π c. 11π d. 12.5π e. 15π 12. in the standard (x,y) coordinate plane, a line segment has its endpoints at (2,4) and (6,0). what are the coordinates of the mid - point of the line segment? a. (2,6) b. (4,6) c. (4,2) d. (6,4) e. (8,4) 26. in what order should 6/5, 9/13, 13/7, and 5/3 be listed to be arranged in decreasing order? a. 5/3 > 13/7 > 6/5 > 9/13 b. 6/5 > 5/3 > 13/7 > 9/13 c. 13/7 > 5/3 > 6/5 > 9/13 d. 13/7 > 6/5 > 9/13 > 5/3 e. 5/3 > 13/7 > 9/13 > 6/5
Answer
2.
Explanation:
Step1: Calculate the discount amount
The discount is 24% of $4.00. So the discount amount $d = 4\times0.24=$0.96$.
Step2: Calculate the new price
The new price $p=4 - 0.96=$3.04$.
Answer:
B. $$3.04$
5.
Explanation:
Step1: Prime - factorize the numbers
$18 = 2\times3^{2}$, $45=3^{2}\times5$, $81 = 3^{4}$.
Step2: Find the GCF
The common factors are based on the lowest - power of the common prime factors. The common prime factor is 3, and its lowest power among the three factorizations is $3^{2}=9$.
Answer:
C. 9
12.
Explanation:
Step1: Recall the mid - point formula
The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$.
Step2: Substitute the given points
Given $(x_1,y_1)=(2,4)$ and $(x_2,y_2)=(6,0)$. Then $x=\frac{2 + 6}{2}=4$ and $y=\frac{4+0}{2}=2$.
Answer:
C. $(4,2)$
26.
Explanation:
Step1: Find a common denominator
The common denominator of 5, 13, 7 and 3 is $5\times13\times7\times3=1365$.
Step2: Convert the fractions
$\frac{6}{5}=\frac{6\times273}{5\times273}=\frac{1638}{1365}$, $\frac{9}{13}=\frac{9\times105}{13\times105}=\frac{945}{1365}$, $\frac{13}{7}=\frac{13\times195}{7\times195}=\frac{2535}{1365}$, $\frac{5}{3}=\frac{5\times455}{3\times455}=\frac{2275}{1365}$.
Step3: Compare the numerators
Since $2535>2275>1638>945$, we have $\frac{13}{7}>\frac{5}{3}>\frac{6}{5}>\frac{9}{13}$.
Answer:
C. $\frac{13}{7}>\frac{5}{3}>\frac{6}{5}>\frac{9}{13}$
27.
Explanation:
Step1: Find the radius from the area formula
The area of a circle is $A=\pi r^{2}$. Given $A = 30.25\pi$, then $\pi r^{2}=30.25\pi$. Divide both sides by $\pi$ to get $r^{2}=30.25$, and $r = 5.5$ cm.
Step2: Calculate the circumference
The circumference of a circle is $C = 2\pi r$. Substitute $r = 5.5$ into the formula, $C=2\pi\times5.5 = 11\pi$ cm.
Answer:
C. $11\pi$
31.
Explanation:
Step1: Calculate the volume of the rectangular prism
The volume of a rectangular prism $V=Bh$, where the base is a square with side length $s = 8$ ft and height $h = 21$ ft. So $B=s^{2}=8^{2}=64$ square - feet, and $V=64\times21 = 1344$ cubic feet.
Step2: Find $\frac{1}{4}$ of the volume
$\frac{1}{4}V=\frac{1}{4}\times1344 = 336$ cubic feet.
Answer:
A. 336