First, sum up the total expenses for the original plan
Duque de Caxias + Campinas + Rio de Janeiro + Guarulhos = 242+185+193+120 = R$740
It is clearly over the intended budget. The average cost per itinerary is around R$200 so we will consider making a swap on either Duque de Caxias and Rio de Janeiro. Possible answers are (b) or (c)
for (b) Replace Duque de Caxias with Fortaleza, we will have
Fortaleza + Campinas + Rio de Janeiro + Guarulhos =
⇒ 201+185+193+120 = R$699 ⇒ This is exactly the budget intended for the trip
for (C) Replace Rio de Janeiro with Porto Alegre
Duque de Caxias + Campinas + Porto Alegre + Guarulhos =
⇒ 242 + 185 + 153 +120 = R$ 700 ⇒ This is over R$1
The answer is (b)
Answer:
168 ft²
Step-by-step explanation:
The equation for the lateral area of a square pyramid is LA = (Pl/2)
Plug in the values LA = (24(14)) / 2
LA = 336/2
LA = 168 ft²
Step-by-step explanation:
The given population models for the trees is given as:
It is required to find which forest will have a greater number of trees after 20 years and by how many.
To do this substitute t=20 in the equations of the models:
Hence, forest A has a greater number of trees after 20 years.
Calculate the difference:
It follows that forest A has a greater number of trees than forest B by 43 trees.
After 20 years, forest A has a greater number of trees than forest B by 43 trees.
Answer:
commercial = 9
movie = 5
Step-by-step explanation:
Step one:
let the number of commercials be x and movies be y
so
40x+130y=1010-------------1
since there are a total of 14 commercials and movies combined
x+y=14--------------2
Hence the systems of equation is
40x+130y=1010------1
x+y=14-------------------2
Step two:
from equation 2
x=14-y
substui]te the value of x in equation 1
40(14-y)+130y=1010
560-40y+130y=1010
collect like terms
130y-40y=1010-560
90y=450
divide both sides by 90
y=450/90
y=5
movies is 90
put y=5 in equation 2
x+5=14
x=14-5
x= 9
commercial is 9 in numbers
and movie is 5
