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USPshnik [31]
2 years ago
10

What is the ratio of A's to B's ABBBAAA ?/?

Mathematics
1 answer:
Gelneren [198K]2 years ago
6 0

Answer:

1.3 is to 1

Step-by-step explanation:

There at are 4 As and 3 Bs

Therefore:

A:B

4:3

Divide 4 by 3. Then round it off to the first decimal place.

=1.3 : 1

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Alex has $20 and Ellen has $12 Alex saving three dollars per day and Ellen is saving five dollars per day after how many days wi
FinnZ [79.3K]
3x+20=5x+12
-3x -3x
20= 2x +12
-12 -12
8=2x
Divide both sides by two
4=x
It will take four days (this is how to solve algebraically)
3 0
3 years ago
Triangle RST is rotated 90° in a clockwise direction. What is the name of the image after the rotation?
Art [367]
When the triangle RST is rotated by <span>90° in a clockwise direction, the name of the image after the rotation would be SRT.

The reason you get a name like this is because you're not only rotating the triangle, you also rotating the letters along with the image.
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7 0
3 years ago
Jane needs open-topped boxes to store her excess inventory at year's end. She purchases large
Debora [2.8K]

Answer:

x = 1,6 in   ( the side of the corner squares )

V(max) = 67,58 in³

Step-by-step explanation:

The cardboard is:

L = 12 in          w  =  8 in

Let´s call "x" the side of the square from the corner:

Then the sides of the base of the open box are:

( L - 2*x )    and    ( w - 2*x )     and   x is the height

( 12  -  2*x )  and  ( w  - 2*x )

V(ob) = (L - 2*x ) * (  - 2*x ) * x

Wich is a function of x

V(x) = [( 12 - 2*x ) * ( 8 - 2*x ) ]*x

V(x) = ( 96 - 24*x - 16*x + 4*x²) * x

V(x) = 96*x - 40*x² + 4*x³

Tacking derivatives on both sides of the equation

V´(x) = 12*x² - 80*x + 96

V´(x) = 0     12*x² - 80*x + 96 = 0

Solving for x

x₁,₂ = 80 ± √ 6400 - 4608 / 24

x₁,₂ = 80 ± 42,33 / 24

x₁ = 5,10       We dismiss this solution since 2*x  becomes 2*5,10 = 10,20

ant this value is bigger than 8 inches

x₂ = 1,60 in

Therefore dimensions of the box

a = 12 - 2*x     ;  a =  12 - 3,20  ;  a = 8,8 in

b = 8 - 2*x   ; b = 8 - 3,20  ; b =  4,80  in

And the volume of the open box is:

V(max) = 8,8*4,8*1,6

V(max)  =  67,58 in³

How do we Know that is the maximun value for V?

We find  V´´(x)  = 24*x - 80     for  x = 1,6 is negative ( V´´(x) = - 41,6 therefore V (x) has  a local maximun for a value of x = 1,6

3 0
3 years ago
What is the length of BD?
Ket [755]

Answer: BD = 9 units

Step-by-step explanation:

ABQ and CDQ are congruent triangles. That means their angle measures are the same but their lengths may be proportional.

19.2 / 32 = 0.6

15 * 0.6 = 9

So the length of side BD is 9 units.

4 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST AND POINTSSSS
KonstantinChe [14]

Answer:

1) no; 202 + 212 ≠ 282

2) yes; 142 + 482 = 502

3) 2

4)18.0

hope this helped

3 0
3 years ago
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