The total cost of rice and beans bought by Gabriel is 6b + 4r.
The simplified expression of the final cost is 4b + 3r.
<h3>What is simplification?</h3>
Simplification can be defined as a process of replacing a mathematical expression by the cancellation of common factors, regrouping of terms in the same variable to get the more simple form of the given expression.
Given that
6b + 4r represents the total cost of the rice and beans Gabriel bought.
He returns 2 bags of beans and 1 bag of rice.
This can be written as,
Then, the total number of bags of rice and beans is given as,
When we simplify the above equation, we get,
Hence we can conclude that the expression for rice and beans after the return is (4b+3r).
To know more about simplification, follow the link given below.
brainly.com/question/12616840.
Mr. Leonard gets £ 45.84375 as discount
<em><u>Solution:</u></em>
The oil tank can take up to 1200 liters of oil
There are already 450 liters of oil in the tank
The remaining oil which is to be added is given by :
Remaining oil = 1200 - 450 = 750 liters
The price of oil is 81.5 p per liter
<em><u>Then calculate the total price of 750 L of oil:</u></em>
Thus total price is 61125 p
Mr Leonard gets a 7.5% discount on the price of the oil
Therefore,
Discount amount = 7.5 % of 61125
Thus he gets 4584.375 p
We convert p to £
1 p = 0.01£
4584.375 x 0.01 = £ 45.84375
Thus he gets £ 45.84375 as discount
So we know that they spend $100 on the candles. In order to make a $125 profit, they must sell $225 worth of candles. Each candle sells for $4.50, so:
4.5x > 225 is the inequality for that. It just means $4.50 times the number of candles has to be more than the $225 we need. To simplify it, just divide both sided by 4.5:
x > 50
They have to sell more than 50 candles. Make sense?
Answer:
see attached
Step-by-step explanation:
The x-coordinate of the vertex is given by ...
x = -b/(2a)
for f(x) = ax^2 +bx +c.
We see that the vertex is at x = 1, and we are given a = -16. Then we can find "b" from ...
1 = -b/(2(-16))
32 = b
We know the y-intercept of the equation is 5 (the starting height), so the equation must be ...
h(t) = -16t^2 +32t +5 . . . . . matches the last choice
