Answer
so there are 7 singing acts and 5 comedy acts.
Step-by-step explanation:
Let x= number of singing acts.
Let y= number of comedy acts.
We will take x+y=12 as our first equation, as there are 12 shows in total. We will take 5x+3y=50 as our second equation as there are 50 total minutes, and singing acts are 5 mins and comedy acts are 3 mins.
We solve x+y=12
Y=-x+12
We know y=-x+12, so we will substitute that for the y in the second equation.
1. Substitute 5x+3(-x+12)=50
2. Distribute 5x-3x+36=50
3. Solve 2x+36=50
2x=14
X=7
Now that we have found x, we will find y by substitute the x in 5x+3y=50 with the value, 7, that we found for x.
5(7)+3y=50
35+3y=50
3y=15
Y=5
34 68
becaiseits half of each!
Cara's rate of commission is 12%.
Step-by-step explanation:
Given,
Paycheck = $6500
Salary = $1000
Commission = Paycheck - Salary
Commission = 6500-1000 = $5500
Total sales for the week = $45000
Commission rate =
Rounding off to nearest whole number.
Commission rate = 12%
Cara's rate of commission is 12%.
Keywords: commission, subtraction
Learn more about subtraction at:
#LearnwithBrainly
We see that the shape is made up of 2 shapes:
trapezoid and triangle
(trapezoid is on top of upside down triangle)
area of trapezoid=(1/2)(b1+b2)(h)
area of traignel=(1/2)(b)(h)
area of trapezoid
b1=14
b2=18
h= ok so total height=17 and 12 is taken up by triangle os therefor h=17-12=5
A=(1/2)(14+18)(5)
A=(1/2)(32)(5)
A=(16)(5)
A=(80)
now area of triangle
H=12
B=18
A=(1/2)(18)(12)
A=(9)(12)
A=108
add
80+108=188
total area=188mm^2
Answer:
1,280
Step-by-step explanation:
prob(spots) = 12/180 = 1/15
so of the 1200 frogs, (1/15)(1200) should have spots, so ..
how many should not have frogs ?
or
prob(not spots) = 14/15
number who don't have spots = (14/15)(1200) = 1,280