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3 years ago

A bicycle regularly cost at $396 is on a sale for 25%. What is the sale price

1 answer:

8 0

$99

Firstly, convert the 25% into a decimal, to do that, move the "." to the left two spaces. Now multiply 396 x 0.25 = 99.

Hope this helps!

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Find the distance from the line passing through points P(0,0,0) and Q(9,0,0) to the line passing through points R(3,-2,4) and S(

Alika [10]

Answer:

Step-by-step explanation:

Let the I line be PQ and II line be RS

Direction ratios of PQ = (9,0,0) and direction ratios of RS = (0, -4, -12)

Distance between skew lines

=(a1-a2).(b1xb2)/|b1xb2|

where a1 and a2 are points

Here a1-a2 = (-3,2,-4) taking P and Q as points.

b1 = (9,0,0) and b2 = (0,-4,-12)

Shortest Distance = (a2-a1).(b1xb2)/|b1xb2|

De $\left[\begin{array}{ccc}-3&2&-4\\9&0&0\\0&-4&-12\end{array}\right]$

Numerator = -9(-24-16)=360

Denominator vector = i(0)-j(-108)+k(-36)

Modulus of vector =\sqrt{108^2+36^2} =36\sqrt{10}

Hence Shortest distance = \sqrt{10}

4 0

3 years ago

mckenna and lara work for their uncle eddie, who repairs skateboards and bicycles. uncle eddie is leaving for a vacation to the

juin [17]

The <em><u>correct answer</u></em> is:

15 bicycles and 6 skateboards.

Explanation:

Let x represent the number of bicycles and y represent the number of skateboards. The first equation in our system is then

x+y = 21, since there are 21 total items in the shop.

Each bicycle has 2 tires and each skateboard has 4; this gives us the equation

2x+4y=54 (because they are ordering 54 tires).

This makes our system

$\left \{ {{x+y=21} \atop {2x+4y=54}} \right.$

We will use elimination to solve this; we first need one of the variables to have the same coefficient in both equations. We will make x the same, and we will do this by multiplying the first equation by 2:

$\left \{ {{2(x+y=21)} \atop {2x+4y=54}} \right. \\
\\\left \{ {{2x+2y=42} \atop {2x+4y=54}} \right.$

Now we will subtract the second equation from the first one:

$\left \{ {{2x+2y=42} \atop {-(2x+4y=54)}} \right. \\
\\-2y=-12$

Divide both sides by -2:

-2y/-2 = -12/-2

y = 6

There were 6 skateboards. Substituting this into the first equation,

x+6 = 21

Subtract 6 from each side:

x+6-6 = 21-6

x = 15

There were 15 bicycles.

3 0

3 years ago

The equation of the parabola is (y-1)^2 = 16(x+3)

Mandarinka [93]

We know that

if the y terms is squared so it opens left or right

Is a Horizontal Parabola, the equation is of the form
(y-k)²=4(p)(x-h)
vertex is (h,k)
and
p is distance from focus to vertex, also distance from vertex to directrix
if p>0, then it opens to the right and directrix is to the left of vertex
if p<0, then it opens to the left and directrix is to the right of vertex

so
(y-1)²=4(4)(x-(-3))
vertex is (-3,1)
4>0 so directrix is to left of vertex
left is in x direction
-3-4=-7
directrix is x=-7

the answer is
x=-7

see the attached figure

5 0

3 years ago

What shape will result when you make a vertical cross section through the picture below?

Goryan [66]

Answer:

rectangle

Step-by-step explanation:

3 0

3 years ago

Paula has two fish tanks that are leaking. The first fish tank hold 50 gallons of water and is leaking at a rate of 5 gallons pe

sergey [27]

Answer:what is the question

Step-by-step explanation:

5 0

3 years ago