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vladimir2022 [97]
3 years ago
13

Franklin rides his bike to the beach averaging 18mph. He rides home along the same route. What speed must he average on the way

home if he wants to average 21 miles per hour for the round trip?
Mathematics
1 answer:
Sedaia [141]3 years ago
8 0
  • <em>Answer:</em>

<em> 24 mph</em>

  • <em>Step-by-step explanation:</em>

<em>Hi there ! </em>

<em>Vm = 21mph</em>

<em>V1 = 18mph</em>

<em>V2 = ?</em>

<em>Vm = (V₁ + V₂)/2</em>

<em>2Vm = V₁ + V₂</em>

<em>V₂ = 2Vm - V₁</em>

<em>replace Vm ; V₁</em>

<em>V₂ = 2×21mph - 18mph</em>

<em>= 42mph - 18mph</em>

<em>= 24 mph</em>

<em>Good luck !</em>

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fluorescent powder comes in 20 G vials with 12 vials in a set, each vilal a different color. so if I order 3 sets I will have 3
Anna007 [38]

First you need to know how many cups of powder you are going to need for the 496 cups of paint you already have

\begin{gathered} 1\text{ CUP POWDER}\Rightarrow5\text{ CUP PAINT} \\ x\text{ CUP POWDER}\Rightarrow496\text{ CUP PAINT} \end{gathered}

We write this as a ratio

\begin{gathered} \frac{x}{496}=\frac{1}{5} \\ x=\frac{496}{5} \\ x=99.2 \end{gathered}

for the 496 cups of paint you will need 99.2 cups of powder.

Continue by seeing how may grams there are in 99.2 cups

\begin{gathered} 60g\Rightarrow0.2536\text{ CUPS POWDER} \\ x\Rightarrow99.2\text{ CUPS POWDER} \end{gathered}

write it as a ratio and solve for x again.

\begin{gathered} \frac{x}{99.2}=\frac{60}{0.2536} \\ x=23470.03155 \end{gathered}

now find how many vials you will need

\begin{gathered} 1\text{vial}\Rightarrow20g \\ x\Rightarrow23470.03155g \end{gathered}

write the ratio and solve

\begin{gathered} \frac{x}{23470.03155}=\frac{1}{20} \\ x=\frac{23470.03155}{20} \\ x=1173.5\approx1174 \end{gathered}

If each sets comes with 12 sets, write the ratio and find the number of sets you will need

\begin{gathered} 1\text{set}\Rightarrow12vials \\ \text{xsets}\Rightarrow1174vials \end{gathered}\begin{gathered} \frac{x}{1174}=\frac{1}{12} \\ x=\frac{1174}{12} \\ x=97.83\approx98 \end{gathered}

you will need 98 sets for this amount of paint.

7 0
1 year ago
5. En el estado de Puebla sembraron 84,092
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Answer:

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Step-by-step explanation:

Aquí, en esta pregunta, nos interesa calcular las hectáreas totales de trigo que se sembraron entre los tres estados.

Para calcular esto, simplemente sumamos las hectáreas de trigo que se sembraron en cada uno de los estados.

Matemáticamente;

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3 years ago
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Shkiper50 [21]

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5 0
3 years ago
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rosijanka [135]

Answer:

$465 at Back Street

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Step-by-step explanation:

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6 0
3 years ago
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Answer:

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This implies that;

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We expand using the distributive property to get;

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Rewrite in standard form to obtain;

f(x)=x^3+x^2-4x-4

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