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Airida [17]
2 years ago
8

A bus drives 3 1/2 hours at an average speed of 56mph how far does the bus drive?

Mathematics
1 answer:
miskamm [114]2 years ago
3 0

Answer:

196\ miles

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

Let

y-----> the distance in miles

x-----> the time in hours

s----> the speed in mph

so

s=\frac{y}{x}

In this problem we have

x=3\frac{1}{2}\ hours=3.5\ hours

s=56\ mph

substitute and solve for y

56=\frac{y}{3.5}

y=56*3.5=196\ miles

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We have been given that Bonnie is making a dipping sauce. She mixes 150 milliliters of soy sauce with 100 milliliters of vinegar.

1. We can find amount of soy sauce Bonnie mixes with every 1 milliliter of vinegar by dividing total amount of soy sauce by total amount of vinegar.

\text{Amount of soy sauce per ml vinegar}=\frac{150}{100}

\text{Amount of soy sauce per ml vinegar}=\frac{15}{10}=\frac{3}{2}

\text{Amount of soy sauce per ml vinegar}=1.50  

Therefore, Bonnie mixes 1.50 ml of soy sauce with every 1 ml of vinegar.

2. We can find amount of vinegar Bonnie mixes with every 1 ml of soy sauce by dividing total amount of vinegar by total amount of soy sauce.

\text{Amount of vinegar per ml soy sauce}=\frac{100}{150}

\text{Amount of vinegar per ml soy sauce}=\frac{10}{15}=\frac{2}{3}

\text{Amount of vinegar per ml soy sauce}=0.6666666666666667\approx0.67

Therefore, Bonnie mixes 0.67 ml of vinegar with every 1 ml of soy sauce.

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2 years ago
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Write the number that can be shown with this many hundreds tens and ones 1 2 18
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Maybe is 2181 the biggest 
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2 years ago
Mike has coffee worth $4 per pound that he wishes to mix with 20 pounds of coffee worth $7 per pound to get a mixture that can b
Alinara [238K]
\bf \begin{array}{lccclll}
&\stackrel{lbs}{amount}&\stackrel{per~lb}{price}&\stackrel{amount}{price}\\
&------&------&------\\
\textit{\$4/lb coffee}&x&4&4x\\
\textit{\$7/lb coffee}&20&7&140\\
------&------&------&------\\
mixture&y&5&5y
\end{array}

so, we know the mixture is the sum of both types of coffee, thus x + 20 = y, and 4x + 140 = 5y.

\bf \begin{cases}
x+20=\boxed{y}\\
4x+140=5y\\
----------\\
4x+140=5\left( \boxed{x+20} \right)
\end{cases}
\\\\\\
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2 years ago
In a class, 4/5 of the students have mathematical instruments. 1/4 of these students have lost their protractors. What fraction
Novay_Z [31]

Answer:

\frac{11}{20}

Step-by-step explanation:

\frac{4}{5} - \frac{1}{4}          <em>Subtract the students who don't have protractors from the students who have mathematical instruments.</em>

\frac{11}{20}

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An experienced carpenter can frame a house twice as fast as an apprentice. Working together, it takes the carpenters 2 days. How
AleksAgata [21]

Answer:

<em>6 days</em>

<em></em>

Step-by-step explanation:

Let the time taken by Carpenter working alone = C days

Then time taken by apprentice alone = Twice as that of taken by Carpenter = 2C days

Time taken working together = 2 days

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Work done in one day by Carpenter working alone + Work done in one day by Carpenter working alone =  \frac{1}{C}+\frac{1}{2C} = Work done in one day working together = \frac{1}{2}

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Time taken by Carpenter alone to complete the work = 3 days

Time taken by Apprentice alone to complete the work = 3 \times 2= <em>6 days</em>

4 0
2 years ago
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