Answer:
10 pounds
Step-by-step explanation:
You forgot the inequality sing, but since Antoine can't spend more than $18.20, I am positive that the sign is 
(Antony can spend $18.20 or less than $18.20).
Therefore, our inequality is: 
where 
is the pounds of oranges
Let's solve step-by-step to find how many pounds of oranges he can buy
Step 1. Subtract 5.20 fro both sides of the inequality
Step 2. Divide both sides of the inequality by 1.30
We can conclude that Antony can buy 10 pounds of oranges.
Answer:
The proved is given below.
Step-by-step explanation:
Given ABCD is a parallelogram and also ∠ABE equals 180°, ∠CBE ≅ ∠CEB
We have to prove that ∠DAE ≅ ∠CEA
As ∠CEA=∠CBE → (1)
and given ABCD is a parallelogram implies AD||CB
∴ ∠DAE=∠CBE → (2) as these are corresponding angles.
From equation (1) and (2), we get
∠DAE=∠CEA
Hence, ∠DAE is congruent to ∠CEA
Hence Proved
Answer:
y = sin(x + 90°)
Step-by-step explanation:
cos 0 = 1
Since the point (0, 1) is on the graph, this graph is y = cos x, but that is not a choice, so this must be the graph of the sine function with a horizontal translation.
sin 0 = 0
sin 90° = 1
The translation is 90°.
Answer: y = sin(x + 90°)
The initial pay rate is $16.00. It is also mentioned that the price is marked up by 78.7%. It means that the prices are increased by 78.7%. Also, there is a profit of 10% too. So, the pay rates after mark up will be
$16.00 + (78.7% of 16.00)
= $16.00 + $12.592
=$28.592
And the pay rates after estimated profit is
$28.592 + (10% of $28.592)
= $28.592 + $2.8592
= $31.4512
Hence, the revised bill rate, rounded to the nearest cent is $31.45.
