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2 years ago

If a car averages 22 miles per gallon, how many kilometers per liter is this?

Mathematics

1 answer:

kap26 [50]2 years ago

3 0

We have to convert the units. 1 mile = 1.60934km, 1 gallon = 3.78541km

Since it's mile per gallon, we divide the units mentioned above.

1 mile / 1 gallon = 1 km / 1 gallon = 1.60934 / 3.78541 = 0.4251

Now multiply this result as a factor to 22

That is 22 * 0.4251 = 9.3522

So the answer is 9.3522

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Brandon makes lemon water by adding of a cup of sliced lemon to 2 cups of water. At this rate, how many cups of sliced lemon wou

tatuchka [14]

1 lemon to 2 waters will be proportional to what he Brandon needs so:

1 lemon / 2 water = x lemon / 12 water

Multiply by 12
And you get (1/2)*12 which is 6=x lemons

He needs 6 cups of lemons

5 0

3 years ago

Complete the equation of the line whose slope is -2 and y-intercept is (0,-8) y=

Alexandra [31]

Answer:

y = -2x - 8

Step-by-step explanation:

We want to find the slope-intercept form of this equation. Slope-intercept form is denoted by: y = mx + b, where m is the slope and b is the y-intercept.

We already know that the slope is -2, so that means m = -2.

We also know the y-intercept (or the point where the line crosses the y-axis) is (0, -8), which means b = -8.

Thus, our equation is: y = -2x - 8.

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2 years ago

Read 2 more answers

Which statement about solving inequalities is true?

PIT_PIT [208]

None of the statements on that list is true.

8 0

3 years ago

Read 2 more answers

Sort each equation according to whether it has one solution, infinitely many solutions, or no solution.

Sedaia [141]

Answer:

Equations with one solution: $-2(x-3) = 2x-6$

Equations with no solution:

$6(x+5) = 6x+11\\5(x-2) = 5x-7$

Equations with infinite many solutions: $-3(x-4) = -3x+12$

Step-by-step explanation:

We will solve each equation to see if it has one solution, no solution or infinite many solutions.

An equation where the value of variable can be found has one solution.

An equation with no solution has both sides different.

An equation with infinite solution will have both sides equal after solution(number)

So,

Equation 1:

5(x-2) = 5x-7

$5(x-2) = 5x-7\\5x-10 = 5x-7\\5x-5x = -7+10\\0 = 3$

As both sides are not equal, equation has no solution.

Equation 2:

$-3(x-4) = -3x+12\\-3x+12 = -3x+12\\-3x+3x = -12+12\\0=0\\$

As both sides are equal the equation has infinite many solutions.

Equation 3:

$-2(x-3) = 2x-6\\-2x+6 = 2x-6\\-2x-2x = -6-6\\-4x = -12\\\frac{-4x}{-4} = \frac{-12}{-4}\\x = 3$

As x=3, the equation has only one solution.

Equation 4:

$6(x+5) = 6x+11\\6x+30 = 6x+11\\6x-6x+30 = 11\\30 =11$

The equation has no solution.

Hence,

Equations with one solution: $-2(x-3) = 2x-6$

Equations with no solution:

$6(x+5) = 6x+11\\5(x-2) = 5x-7$

Equations with infinite many solutions: $-3(x-4) = -3x+12$

6 0

2 years ago

(a) Find parametric equations for the line through (1, 3, 8) that is perpendicular to the plane x − y + 4z = 3. (Use the paramet

tigry1 [53]

Answer:

a) x = 1 + t

y = 3 - t

z = 8 +2t

b) In XY plane (-3,-1,0)

In YZ plane (0, 4, 6)

In XZ plane ( 4,0,14)

Step-by-step explanation:

The equation of plane is given as

x -y +2z = 5

COMPARE THE ABOVE EQUATION with Ax+ By +Cz = d

A = 1, B = -1. C = 2

N = (1,3,8) {GIVEN POINT]

the parametric eqn. of line P(Xo , Yo, Zo) and prependicular plan Ax+ By+ Cz = d is given as

X = Xo+ At

Y = Yo + Bt

Z=Zo + Ct

x = 1 + t

y = 3 - t

z = 8 +2t

b) Line intersecting XY plane if z equal to zero i.e

0 = 8 + 2t

t =-4

for t = -4

x = -3, y = -1, z = 0

In YZ plane, x = 0

t = -1

interesting point will be

(0, 4, 6)

In XZ plane, Y = 0

t = 3

interesting point will be

(4, 0, 14)

8 0

2 years ago