Solving Equations
-5+x=3
x = 8
(x+30)/2 =5
x = 7
A diver starts at the surface of the water and start to descend below the surface at a constant rate. each minute he descends 1.25 meters. what is the equation that describes the relationship between the number of minutes passed (x) and the depth of the diver (y)
1.25x =y
3x > 9
x > 9
2x+3 =11
x=4
(3z+1)/5 =(2z-4)/3
z= 23
a rain water tank starts with 2 L in it. Once it begins to rain it fills up at a constant rate of 2L/Hour for 8 hours. what is the equation that links the number of hours passed (x) and the amount of water in the tank (y)
y=2x+2
21 + 6x ≤ (-5 + 2)/ 3
x ≤ -11/3
5h−3=2h+12
h=5
(4x+1)/5 = (2x-3)/2
x = 17/2
Jhony and Barry ran a fundraiser for a sports team. Together, they raised $1000. if Jhony raised $250 more than Barry, and Barry raised $P. Write an equation in terms of P that represents the relationship between the figure amounts and solve for P
The equation is 2P+250 = 1000
P = 375
-10 < 5x -2 < 29
-8/5 < x < 31/5
(3t+8)/2 =11 + t
t=14
(2p+5)/3 - (p-2)/2 = 4
p=- 2/5
A water tank initially contains 15 liters. Water is pumped in at a rate of 4.5 L/min, but a leak drains 1.5 L/min at the same time. Write an equation for the total amount of water (y) in the tank after (x) minutes.
y= 3x+15
30 ≤ 10(4x + 4) - 3(x + 1) ≤ 40
-7/37 ≤ x ≤ 3/37
Jordan is buying packs of pens. Each pack costs $3, and there is a one-time $5 delivery fee. After also using a $2 discount coupon, the total cost comes to $18.
How many packs of pens did Jordan buy?
He bought 5 packs
Liam is buying boxes of chocolate bars. Each box contains 2 chocolate bars. He gives 7 chocolate bars to his friends, and then divides the remaining bars evenly into 3 gift bags. After placing 4 bars in each gift bag, he notices he has a total of 10 bars. How many boxes of chocolate bars did Liam buy?
he bought 14 boxes (29/2)
A small factory produces gadgets. on monday, the factory produced x+3 gadgets in the morning shift and 2x-5 gadhets in the afternoon shift. on tuesday, the factory produced 3x -2 gadgets in the moring and x+ 4 gadgets in the afternoon.
what is the equation in terms of x and y to represent the total production
7x = y
Caleb is on a diet, he needs to eat between 1500 and 2000 calories a day. He already ate a Mcdonalds Big Mac meal containing 1000 calories. Now, he's really craving some nuggets, if a box of nuggets contains 6 nuggets, and each nugget is 75 calories. How many boxes of nuggets can he eat to stay within his diet while giving his friend 3 nuggets per box? Show inequality.
20/9 ≤ b ≤ 40/9
3 or 4 boxes