3 years ago

540 less than the product of 54 and a number is 918

Mathematics

2 answers:

maria [59]3 years ago

8 0

54x - 540 = 918
+540 +540
54x = 1458
/54 /54
x = 27

Evgen [1.6K]3 years ago

5 0

First, you get you equation, which is 54x-540=918. Then you solve your equation. First, add 540 to both sides, get 54x=1,458. Then divide both sides by 54, and get x=27

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Answer:

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Step-by-step explanation:

1.Convert all volumes to millilitres

(a) Chlorpheniramine

V = 100 mL

(b) Lidocaine

$V = \text{2 fl oz} \times \dfrac{\text{29.57 mL}}{\text{1 fl oz}} = \textbf{59 mL}$

(c) Banana flavouring

$V = \dfrac{1}{2}\text{ tsp} \times \dfrac{\text{4.928 mL}}{\text{1 tsp}} = \textbf{2.5 mL }$

2. Calculate the total volume

Chlorpheniramine = 100 mL

Lidocaine = 59

Banana flavouring = <u> 2.5 </u>

TOTAL = 162 mL

3. Calculate the number of doses

$\text{Doses} = \text{162 mL} \times \dfrac{\text{1 dose}}{\text{10 mL}} = \text{16.2 doses}\\\\\text{You can't take a fraction of a dose, so the there are $\large \boxed{\textbf{16 doses}}$}$