Answer:
d. 40
Step-by-step explanation:
2x + x +( x + 20) have to all equal 180 degrees in a triangle.
2x + x + x + 20 = 180
2x + 2x + 20 = 180
4x + 20 = 180
4x = 180 - 20
x = (180-20) / 4
x = 160 / 4
x = 40
Answer:
1/27
Step-by-step explanation:
[(3^-5)(3^4)]^3
= [(3^(-5+4)]^3
= [3^-1]^3
= 3^-3
= 1/3^3
= 1/27
Answer:
10 more students chose purple than red as their favorite color
Step-by-step explanation:
Step 1
Determine the proportion of students that chose each color
purple=26%
red=22%
Step 2
Use the expression for the number of students per color as follows;
Number of students per color=proportion per color×total number of students
for purple;
proportion that chose purple=26%
total number of students=250
replacing;
Number of students that chose purple=(26/100)×250=65 students
for red;
proportion that chose red=22%
total number of students=250
replacing;
Number of students that chose purple=(22/100)×250=55 students
Step 3
Difference=65-55=10
10 more students chose purple than red as their favorite color
Answer:
$4.25
Step-by-step explanation:
Let price of drink be x
price of tub y
You have 4x+2y=32.5 (1) and
x = y -3.5 (2)
Plug for x from (2) into (1):
4(y-3.5) + 2y = 32.5
4y -14 +2y = 32.5
6y = 14+32.5
y = (46.5)/6 = $7.75 the price of tub
x= y-3.5 = 7.75 - 3.5 = $4.25