Answer:
Cost of a coffee is <u>$2.5</u> and cost of a latte is <u>$4.25.</u>
Step-by-step explanation:
Let cost of 1 coffee be 'c' and cost of 1 latte be 'l' dollars.
Given:
4 coffees and 12 lattes cost $61.
12 coffees and 7 lattes cost $59.75.
∵ 1 coffee cost = 
∴ 4 coffees cost = 
and 12 coffee cost = 
∵ 1 latte cost = 
∴ 12 lattes cost = 
and 7 lattes cost = 
Now, as per question:
Now, multiplying equation (1) by -3 and adding the result to equation (2). This gives,
Now, plug in the value of 'l' in equation 1 to solve for 'c'. This gives,
Therefore, cost of a coffee is $2.5 and cost of a latte is $4.25.
Answer:
Angle C
Step-by-step explanation:
By applying sine rule in the given triangle,
Therefore, sides of the given triangle will be in the same ratio as the sine of the angles.
Since, BD > BC > CD
Therefore, Opposite angles of these sides will be in the same ratio.
∠C > ∠D > ∠B
Largest angle of the triangle is angle C.
Answer:
The cost of spoon is £1.84 and therefore the cost of one knife is £5.52.
Given :
-
A knife is 3 times the cost of the spoon.
- 9 spoons and 12 knives costs £82.80.
Solution :
-
This question is solve by creating a linear equation and linear equations are nothing but yet another subset of "equations".
- Linear calculations that requires more than one variable can be done with the help of linear equations.
- The standard form of a linear equation in one variable is ax + b = 0.
Now let x be the cost of spoon. Than the cost knife is 3x. It is given that 9 spoons and 12 knives costs £82.80.
<h3>
</h3>
Therefore the cost of 1 knife = 5.52
Step-by-step explanation: 
Answer:
x=8
Step-by-step explanation:
We have to find the expected value for the PlayBall lottery.
The price of the ticket = $1
Prize amount = $250
If a player wins, he will be winning $249 as the price is not paid back along with the prize amount. He is spending $1, getting back $250, so the net amount he is getting back is $249.
Now we have to find the probability of winning and losing.
Number of letters from A to T = 20
Number of digits from 0 to 9 = 10
Probability of picking up the same letter that was picked on that day = 1/20
Probability of picking up the same number that was picked on that day = 1/10
Thus, the Probability of picking up the same letter and same number that was picked on that day =
Thus, the probability of winning = 1/200
The probability of losing =
The expected value E for the PlayBall lottery will be:
Thus, the option C gives the correct answer
