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2 years ago

2(15 - 20d + 5c) what are all the expretions equalivalent to this

Mathematics

1 answer:

anastassius [24]2 years ago

4 0

Answer:

10c-40d+30

Step-by-step explanation:

( 2 )( 15 + -20d + 5c )

( 2 ) ( 15 ) + ( 2 ) ( -20d ) + ( 2 ) ( 5c )

30 - 40d + 10c

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Consider the two lines l1:x=−2t,y=1+2t,z=3tl1:x=−2t,y=1+2t,z=3t and l2:x=−8+4s,y=0+5s,z=5+1sl2:x=−8+4s,y=0+5s,z=5+1s find the po

seraphim [82]

At the point of intersection, the coordinates are the same:

... (x, y, z) = (-2t, 1+2t, 3t) = (-8+4s, 5s, 5+s)

We only need two of the coordinates to solve for the values of s and t. Using the x- and y-coordinates, we have

... 4s + 2t = 8 . . . . . . x2 - x1 = 0, in standard form

... 5s -2t = 1 . . . . . . . y2 - y1 = 0, in standard form

Adding these equations gives 9s=9, so s=1. Substituting into either equation gives t=2.

Using the expression for l1 with t=2, the point of intersection is

... (-2·2, 1+2·2, 3·2) = (-4, 5, 6).

_____

We could have stopped after finding the value of s, because that defines the point. By finding the value of t, we can check the solution to make sure that l1 and l2 both give the same point for the respective values of s and t. (They do.)

8 0

3 years ago

Mrs.scott has 30 pairs of shoes.Out of the 30 pairs 24 of them are black.what percent of shoes are black

pychu [463]

Do 24/30, which is 0.8. Convert this to a percentage

==============> 80%

4 0

3 years ago

In the diagram, O is the centre of the circle, BD = DC and PAB is a straight line. Prove that AD bisects the angle CAP.

nadya68 [22]

Answer:

BAC=BDC(BDX)=30°

Step-by-step explanation:

We know that BD=OD.

But OD=OB= Radius of the circle.

Therefore

BD=OD=OB

BDO is equilateral triangle.

Angle DBO= 60°

Now let us take the intersecting point of CD and AB as X.

In triangle BDX,

BXD= 90°(BXD+BXC=180°, BXD+90°=180°, BXD=90°)

BXD+DBX+BDX=180°{Angle Sum Property}

90°+60°+BDX= 180°

BDX= 30°

We also know that,

BDC(BDX)= BAC (Angles lie on the same arc{BC} are equal in measure.

Therefore,

BAC=BDC(BDX)=30°

8 0

2 years ago

Jenna feeds her cat twice a day. She gives her cat 3/4 can of cat food each time. Jenna is having a friend take care of her cat

Anarel [89]

Given:

Number of times Jenna feeds her cat = 2

Cat food each time $=\dfrac{3}{4}\text{ can}$

Number of days = 5

Number of cans she bought = 8

To find:

Did Jenna buy enough cat food.

Solution:

Required food for each time $=\dfrac{3}{4}\text{ can}$

Jenna feeds her cat twice a day.

Required food for a day $=2\times \dfrac{3}{4}\text{ can}$

$=\dfrac{3}{2}\text{ can}$

Required food for 5 days $=5\times \dfrac{3}{2}\text{ can}$

$=\dfrac{15}{2}\text{ can}$

$=7.5\text{ can}$

Since, 7.5 cans < 8 cans, therefore, Jenna buy enough cat food for her cat.

7 0

3 years ago

Ms. Lin’s son likes to lift weights. He was lifting 125 pounds last year. This year he can lift 35 more pounds. How much weight

katrin [286]

Answer:

He can lift 160 pounds

Step-by-step explanation:

125 (from last year) + 35 (more pounds) = 160 (total pounds)

125 + 35 = 160

5 0

2 years ago