Answer:
T.A. = 16√3 units²
Step-by-step explanation:
∵ The total area = the area of the four faces
∵ The four faces are equilateral triangles with side length 4
∵ Area of the equilateral Δ = 1/4 s² √3
∴ T.A. = 4 × 1/4 × 4² × √3 = 16√3 units²
D = # of dimes
n= # of nickles
d + n = 34 so d = 34 - n
.10d + .05n = 2.05
substitute d = 34 - n into .10d + .05n = 2.05
.10d + .05n = 2.05
.10( 34 - n) + .05n = 2.05
3.4 - .1n + .05n = 2.05
-.05n = -1.35
n = 27
d = 34 - n
d = 34 - 27
d = 7
answer
<span>she received 7 dimes and 27 nickels</span>
Answer:
$16.25 $15.95 $15.75
Step-by-step explanation:
because a 15% tip is $3.00
Based on the information of the table, you have:
1. The ratio is 105/150. By simplifying you get for the ratio 7/10.
2. The students that prefer action movies are 75+90 = 165 and the total numbe of students is 180+240 = 420. Then, the fraction of students who prefer action movies is:
165/420 = 11/28
3. The fraction of seventh graders students that prefer action movies is:
75/180 = 5/12
4. The percent of student that prefer comedy is:
105 + 150 = 255 total student that prefer comedy
420 total number of students
the fraction is:
(x/100)420 = 255
solve for x:
x = 255(100/420)
x = 60.71
the percent of students is 60.71%
5. The percent of eighth graders student who prefer action moveis is:
(x/100)240 = 90
x = 90(100/240)
x = 37.5
the percent of students is 37.5%
6. To determine which from the given grades has the greatest percent of student that prefer action movies, calculate the percent of student in seventh-grade:
(x/100)180 = 75
x = 75(100/180)
x = 41.66
the percent of student is 41.66%
then, seventh grade has the greatest percent of student that prefer action movies.
