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Neko [114]
3 years ago
9

How do I solve this??

Mathematics
2 answers:
Strike441 [17]3 years ago
4 0

Answer:

r = -1/2

Step-by-step explanation:

3(5 + 4r) = -18r

15 +12r = -18r by distributive property

15 = -12r - 18r

15 = -30r

r = - 1/2r

andrey2020 [161]3 years ago
3 0

Answer: Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

r=−411

Decimal Form:

r=−0.¯¯¯¯36

Hope this helps from yours truly Baby yoda ;)

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A watermelon seed is 0.4cm long. How far would a line of 124 watermelon seeds stretch? Write your answer in meters.
Ahat [919]
Distance stretched  = 0.4 *  124  =  49.6 cms

converting to meters we divide by 100:-

Answer is 0.496 meters
6 0
3 years ago
Thomas reads 2/9 of a book on Monday and 1/6 of it on Tuesday. He reads twice as many pages on Wednesday as on Tuesday. What fra
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A chef has 6 jars of spices. How many ways can he line up the jars on his kitchen shelf? Show your work.
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3 0
3 years ago
Read 2 more answers
a dive ring at the bottom of the pool is 10 feet below the surface of the water. sabine dives down and brings the ring back to t
icang [17]

Answer:

-10 feet below the surface of the water

Step-by-step explanation:

We are told that the dive rings position at the bottom of the pool is 10 feet below the surface of the water.

Now, an integer is basically a whole number that can either be be zero, positive or negative.

In this case, it's below the surface which means it's below zero.

Thus, it's negative.

So the integer is -10 feet below the water surface.

7 0
3 years ago
You are constructing a cardboard box from a piece of cardboard with the dimensions 2 m by 4 m. You then cut equal-size squares f
postnew [5]

Answer:

Dimensions:

l =3,15 m

w=1,15 m

x= 0,42 m   (height)

V(max) = 1,52 m³

Step-by-step explanation:

The cardboard is L = 4 m   and   W = 2 m

Let call x the length of the square to cut in each corner, then, volume of open box is:

For the side L       is  L - 2*x               l =  4 - 2*x

For the side W      is  W - 2*x             w=  2 - 2*x

The height              is  x

Volume of the open box, as function of x is:

V(x) = ( 4 -2x) * ( 2 - 2x) *x    ⇒  V(x) = ( 8 - 8x -4x + 4x²) *x

V(x) = ( 8 -12x + 4x² )*x     V(x) = 8x - 12x² + 4x³

V(x) = 8x - 12x² + 4x³

Taking derivatives on both sides of the equation

V´(x) = 8 - 24x + 12x²

V´(x) = 0       8  - 24x + 12x² = 0     reordering    12x² - 24x + 8  = 0

or    3x² - 6x + 2 = 0

A second degree equation. Solving for x

x₁,₂  = ( 6 ± √36 - 24 ) /6

x₁,₂  = ( 6 ± 3.46) /6

x₁  =  6 + 3,46 /6     x₁  = 1.58  we dismiss such solution because 1,58 * 2 = 3,15 and is bigger than 2 one of the side of the cardboard

x₂  =( 6 - 3,46 ) / 6

x₂  = 0,42 m

Dimensions of the open box

l  = 4 - 2*x     l  = 4 - 0,85      l  =  3,15 m

w = 2 -2*x    w  = 2 - 0,85     w = 1,15 m

x = 0,42 m

V(max) =3,15*1,15*0,42

V(max) = 1,52 m³

8 0
3 years ago
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