A group of friends were working on a student film that had a budget of $900 they use 87% of their budget on costumes how much mo
1 answer:
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Answer:
1. 10 square yards
2. $9.10
3. 36 girls
4. 20 cherries
5. 159 bracelets
Step-by-step explanation:
1.
The area of this figure would be the area of the SQUARE minus the area of the RECTANGLE (taken out).
The middle part is taken out (this is a rectangle).
View this as a square with sides 4 by 4 with a rectangle portion taken out. So the area can be said as:
Area = Area of Whole Square - Area of Middle Rectangle Taken Out
Lets calculate:
Area of Whole Square:
side * side = 4 * 4 = 16
Now,
Area of Middle Rectangle Taken Out:
Length * Width
The length is given as 3
The width would be 4 - two 1 from two sides, that is 4 - 1 - 1 = 2
So, area = 3 * 2 = 6
Area of figure = 16 - 6 = 10 square yards
2.
We have to find 20% of the bill.
The bill was 45.50 and we have to find 20% of 45.50.
We first convert percentage to decimal by dividing by 100:
20% = 20/100 = 0.20
Now we multiply this decimal with the bill to get our desired answer:
0.20 * 45.50 = $9.10
The tip is $9.10
3.
The ratio of boys (b) to girls (g) would be 2 is to 3.
There are 24 boys.
We can set up a ratio (fraction) with boys on top and girls on bottom.
Then we equate it with actual number of boys and girls (let it be g). So the ratio set-up would be:
To solve for g, the number of girls, we have to cross multiply and use algebra to solve. The process is shown below:
There are 36 girls in sixth grade
4.
For every "9" lemon, there are "4" cherries.
There are 45 lemons
If we think of "9" lemons as a "box", how many boxes of lemons are there?
45/9 = 5
Similarly, there would be "5" boxes of cherries. But there are "4" cherries per box. So there are:
4 * 5 = 20 cherries
We can also set up a ratio of cherry to lemon as 4 is to 9 and equate it with actual cherries (let it be "c") and lemons (45). Cross multiply and use algebra to solve for cherries ("c"). Algebra process shown below:
See, we have the same answer, 20 cherries!
5.
Number sold total = 14 + 27 + 45 = 86
She still has 73 in her stock
So, she basically started with whatever she now has (73) and whatever she has sold the 3 days (86), that would be:
73 + 86 = 159 bracelets
Tia started with 159 bracelets
Answer:
The forecast for November is 235 if August's forecast was 145.
Step-by-step explanation:
The formula for calculating forecast using exponential smoothing is:
Where Ft = New month forecast
Ft-1 = Previous month forecast
At-1 = Previous month actual value
α = smoothing constant
We are given F₈ = 145 (forecast for August), A₈ = 200 (Actual Value for August), α = 2, and we need to compute the forecast for November. So, We will first calculate the forecast for September then October and then November, step-by-step.
So, forecast for September is:
F₉ = F₈ + α (A₈ - F₈)
= 145 + 2*(200-145)
= 145 + 2*55
F₉ = 255
Then, forecast for October is:
F₁₀ = F₉ + α (A₉ - F₉)
= 255 + 2*(220-255)
= 255 + 2*(-35)
F₁₀ = 185
The forecast for November is:
F₁₁ = F₁₀ + α (A₁₀ - F₁₀)
= 185 + 2*(210 - 185)
F₁₁ = 235
he saves $860 per month
calculate each of his outgoings
rent = × $3600 =
= $900
food = × $3600 =
= $1440
activities = × $3600 =
= $400
savings = $3600 - ( 900 + 1440 + 400 ) = $860