If 9 of the sparrows is 45% of the birds in the backyard, 9/x = 45/100.
Cross multiply to get 9 * 100 = 45x; simplified is 900 = 45x or 20.
This means that there are 20 birds in the backyard. You can check this by dividing 9/20 which equals 45%
Let
x = pounds of peanuts
y = pounds of cashews
z = pounds of Brazil nuts.
The total pounds is 50, therefore
x + y + z = 50 (1)
The total cost is $6.60 per pound for 50 pounds of mixture.
The total is equal to the sum of the costs of the different nuts.
Because the cost for peanuts, cashews, and Brazil nuts are $3, $10, and $9 respectively, therefore
3x + 10y + 9z = 50*6.8
3x + 10y + 9z = 340 (2)
There are 10 fewer pounds of cashews than peanuts, therefore
x = y + 10 (3)
Substitute (3) into (1) and (2).
y + 10 + y + z = 50
2y + z = 40 (4)
3(y + 10) + 10y + 9z = 340
13y + 9z = 310 (5)
From (4),
z = 40 - 2y (6)
Substitute (6) into (5).
13y + 9(40 - 2y) = 310
-5y = -50
y = 10
z = 40 - 2y = 40 - 20 = 20
x = y + 10 = 20
Answer:
Peanuts: 20 pounds
Cashews: 10 pounds
Brazil nuts: 20 pounds
Answer:
Linear Function: Its graph has a constant slope (D).
Quadratic Function: Its graph is a parabola (B).
Inverse Variation Function: Its graph has both a horizontal asymptote and a vertical asymptote (F).
Square-root Function: Its graph has a closed endpoint (A).
Exponential Function: Its graph has a horizontal asymptote, but not a vertical asymptote (C).
Logarithmic Function: Its graph is a reflection of the graph of an exponential function in the line <em>y = x </em>(E).
She has a difference of $2.75, she may have subtracted something wrong while balancing out the check book.
Answer:
Part A) 
Part B) She will spend more than 
Step-by-step explanation:
Let
p-----> the number of hamburger patties
Part A) Luna has to buy at least 16 packages for an upcoming picnic


Part B) Suppose she actually needs more than 150 hamburgers. How much will she spend?
Let
c---------> the total cost
step 1
Divide 150 hamburgers by 8 (a package of hamburgers)
so

round to the nearest whole number
----> the minimum number of packages
step 2

