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Genrish500 [490]
3 years ago
14

A Toyota prius drove 208 miles on 5 gallons of gas. how far should it be able to go on a full 11 gallon tank?

Mathematics
2 answers:
JulsSmile [24]3 years ago
8 0

Answer:

457.6 miles

The Prius gets 208 miles / 5 gallons = 41.6 miles/gallon.

 

Distance = Rate * Gallons

Distance = 41.6 miles/gallon * 11 gallon = 457.6 miles

kaheart [24]3 years ago
4 0

Answer:

457.6 miles.

Step-by-step explanation:

208 ÷ 5 = 41.6

41.6 x 11 = 457.6

:)

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What is the first 15 decimal places of pi ?
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For those who don't know, Pi is defined as the ratio of a circle's circumference to its diameter. The first 15 digits of the never-ending number are: 3.14159265358979.Mar 14, 2013
6 0
3 years ago
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A number n, is multiplied by -0.7 the product is -1/2 what is the value of n
Margaret [11]
I’m assuming that -0.7 was multiplied with -1/2
7 0
2 years ago
10/r - 7 - 6b if r = 5 and b = -6
laiz [17]

Steps to solve:

10/r - 7 - 6b when r = 5 and b = -6

~Substitute

10/5 - 7 - 6(6)

~Simplify

5 - 7 + 36

~Subtract

-2 + 36

~Add

34

Best of Luck!

5 0
3 years ago
What are the vertex, focus, and directrix of the parabola with the equation x2+8x+4y+4=0
Novay_Z [31]
<span>x2 +8x +4y +4 = 0
</span>4y=<span> -x2 -8x -4</span>y = -.25*x^2 -2x -1
a = -.25b = -2c = -1
x position of vertex:
h = -b / 2a
h = 2 / 2*-.25h = 2 / -.5h = -4
y position of vertex:
k = ah^2 + bh + ck = -.25*-4^2 + -2*-4 + -1k = -4 +8 -1k = 3
VERTEX = (-4, 3)**************************************************************************
x value of focus =x value of vertex = -4
y value of focus =(1 (-b^2 -4ac)) / 4a

a = -.25 b = -2 c =-1
y value = (1 (-4 -4*-.25*-1)) / 4*-.25
y value = (1 (-4 -4*-.25*-1)) / -1
y value = (1 -4 +1) / -1y value = (-2 / -1)y value = 2
focus value = (-4, 2)
Answer is the last one.

7 0
3 years ago
Use the triangle below to find cos V.
Semenov [28]

Answer:

cos\ V = \frac{2\sqrt{29}}{29}

Step-by-step explanation:

Given

The attached triangle

Required

Find cos V

In trigonometry:

cos\theta = \frac{Adjacent}{Hypotenuse}

In this case:

cos V= \frac{TV}{UV}

Where

TV = 6

and

UV^2 = TV^2 + TU^2 -- Pythagoras

UV^2 = 6^2 + 15^2

UV^2 = 261

Take square roots

UV = \sqrt{261

UV = \sqrt{9*29

UV = \sqrt{9} *\sqrt{29

UV = 3\sqrt{29

So:

cos V= \frac{TV}{UV}

cos\ V = \frac{6}{3\sqrt{29}}

cos\ V = \frac{2}{\sqrt{29}}

Rationalize:

cos\ V = \frac{2}{\sqrt{29}}*\frac{\sqrt{29}}{\sqrt{29}}

cos\ V = \frac{2\sqrt{29}}{29}

8 0
2 years ago
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