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Helen [10]
3 years ago
10

A certain hybrid car can travel 1 4/11 times as far as a similar nonhybrid car can, each one gallon of gasoline. If the nonhybri

d car can travel 33 miles per gallon of gasoline, how far can the hybrid travel on 4/5 gallon of gasoline?
Mathematics
1 answer:
stich3 [128]3 years ago
4 0

Answer:

On 4/5 gallon of gasoline, hybrid car will travel 36 miles of distance.

Step-by-step explanation:

Suppose, non hybrid car travel "x" distance in 1 gallon of gasoline

then, hybrid will travel " 1 4/11* x" distance in 1 gallon of gasoline

Given that, non hybrid car travel, x = 33 miles per gallon

Then, hybrid car travel, 1 4/11*x = 1 4/11* 33 = 45 miles per gallon

On 1 gallon of gasoline hybrid car travel= 45 miles

On 4/5 gallon of gasoline hybrid car will travel= 4/5*45= 36 miles

On 4/5 gallon of gasoline, hybrid car will travel 36 miles of distance.

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\bf \qquad \qquad \textit{ratio relations}
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\begin{array}{ccccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array} \\\\
-----------------------------\\\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-------------------------------\\\\

\bf \cfrac{small}{large}\qquad \cfrac{s}{s}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\implies \cfrac{2}{7}=\cfrac{\sqrt[3]{32}}{\sqrt[3]{v}}\implies \cfrac{2}{7}=\sqrt[3]{\cfrac{32}{v}}\implies \left( \cfrac{2}{7} \right)^3=\cfrac{32}{v}
\\\\\\
\cfrac{2^3}{7^3}=\cfrac{32}{v}\implies v=\cfrac{7^3\cdot 32}{2^3}
5 0
3 years ago
Jolene bought a savings certificate that earned 2% in simple interest per year. She earned a total of $240 in interest over four
Travka [436]
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8 0
3 years ago
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BRAINLIEST +STARSS!!!
yulyashka [42]

Answer:

The green would take 4 and the blue would take 16 times respectivly.  I did it by finding the volumes of the cups in terms of pi, then dividing it by the volume of the sink.

Step-by-step explanation:

So the volume of the whole half sphere is 512pi.

Now we have to find the volumes of the cup.

Equation: \pi r^2h

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2 years ago
F(x)=23x−1 and g(x)=−4x+6.
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The transformation occurs from function g is a vertical translation 6 units down.

<h3>What is Transformation?</h3>

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Given:

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x= -6/4

Now,

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By seeing g(x), we can say that  function g is a vertical translation 6 units down.

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3 0
2 years ago
What is the quotient of 1060 ÷ 48
nikdorinn [45]

1060 / 48 = 22.08 = 22.1

⭐ Please consider brainliest! ⭐

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