Anyone know 7th grade math? i need : o plz i really need
1.before his trip, igor stops at a gas station where 10 gallons of gas costs $27.50. his tank is already 3/5 full and he spends $8.25 on gas.
what is the maximum distance, in miles, igor can travel with the gas he now has in his tank?
2. rafi has $75.00 to spend on games. each game costs $5.00. he writes the expression shown below to represent the amount of money he has after purchasing g games.
75 - 5g
which of these expressions are equivalent to this one, and reflect the maximum number of games rafi can buy?
a. 5(15 - g)
b. 15(5-g)
c. 70g
d. 15g
3.rachel is building a shelf for a wall. the length of the wall is 8 ft 4 inches. the shelf will be built in the center of the wall, and the length of the shelf will be 1/5 the length of the wall.

what is the distance, in inches, between the edge of the shelf and the wall?

_

rachel is building a shelf for a wall. the length of the wall is 8 ft 4 inches. the shelf will be built in the center of the wall, and the length of the shelf will be 1/5 the length of the wall.

4.what is the distance, in inches, between the edge of the shelf and the wall?
a furntiture factory makes 350 tables a week.

create an equation that can be used to find the total number of tables made, y, after x days.

_

a furntiture factory makes 350 tables a week.

create an equation that can be used to find the total number of tables made, y, after x days.
5.jackson buys a new shirt. the shirt is 50% off of the original price. jackson pays a total of 13.75, which includes a sales tax of 10%. what is the original cost of the shirt?

_

jackson buys a new shirt. the shirt is 50% off of the original price. jackson pays a total of 13.75, which includes a sales tax of 10%. what is the original cost of the shirt?
(5 is a photo)
based on charmaine's data, how many trains are likely to be on-time over the next 200 days?

step-by-step explanation:

which of the following statements correctly describes the expression below based on its degree and number of terms?

314 - 7x2 + 11

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

part a

answer: a reasonable domain is where n is a real number. so n can be between 0 and 10. both endpoints are included.

work shown:

n is the number of days after the experiment starts. the smallest n can be is n = 0 which means that 0 days have gone by, and we're at the start. to find out how large n should be, then replace f(n) with 16.13 and solve for n. use logarithms to isolate the exponent.

f(n) = 12*(1.03)^n

16.13 = 12*(1.03)^n

16.13/12 = (1.03)^n

1.34416666666667 = (1.03)^n

(1.03)^n = 1.34416666666667

log[ (1.03)^n ] = log[ 1.34416666666667 ]

n*log[ 1.03 ] = log[ 1.34416666666667 ]

n = log[ 1.34416666666667 ]/log[ 1.03 ]

n = 10.0062999823929

this rounds to n = 10 which is fairly close but not 100% perfect. so this is the largest n can be.

note: if you plug n = 10 into f(n), you'll get roughly 16.127 which rounds to 16.13 (this comes up again in part c)

=====================================

part b

answer: the y intercept is 12. it represents the starting height of the plant in cm.

work shown:

plug n = 0 into the f(n) function. simplify

f(n) = 12*(1.03)^n

f(0) = 12*(1.03)^0

f(0) = 12*(1)

f(0) = 12

on day n = 0, aka the starting point, the height f(n) is 12 cm

=====================================

part c

answer: the average rate of change is approximately 0.43061036458991 (round however you need to). this represents the average growth rate from day n = 3 to day n = 10. so the plant grew roughly 0.43 cm per day during this timespan, assuming you round to 2 decimal places.

work shown:

compute f(3)

f(n) = 12*(1.03)^n

f(3) = 12*(1.03)^3

f(3) = 13.112724 < we'll use this later

compute f(10)

f(n) = 12*(1.03)^n

f(10) = 12*(1.03)^10

f(10) = 16.1269965521294 < we'll use this later

now use the formula below with a = 3 and b = 10

aroc = average rate of change

aroc = [ f(b) - f(a) ]/[ b - a ]

aroc = [ f(10) - f(3) ]/[ 10 - 3 ]

aroc = (16.1269965521294 - 13.112724)/(10 - 3)

aroc = 3.0142725521294/7

aroc = 0.43061036458991

round this however you need to

note: the plant grew approximately 3.01 cm over 7 days, so roughly 0.43 cm per day is the average growth rate (if you were to round to 2 decimal places).