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Georgia [21]
3 years ago
7

Leon has 3/8 the number of tropical fish that haru has how many times the number of tropical fish Leon has is the number of trop

ical fish haru has
Mathematics
2 answers:
stealth61 [152]3 years ago
5 0
Let
Haru's number ---> x 
<span>Leon's number ---> (3/8)x 
</span>so
ratio of 
<span>Leon : Haru = (3/8)x : x </span>
<span>= 3/8 : 1 </span>
<span>= 3 : 8
</span>
the answer is
3 : 8
Arisa [49]3 years ago
4 0

Answer: thus haru has 8 tropical fish

Leon has 3 tropical fish  3:8

Step-by-step explanation:

Let K denote the number of haru 's fish

Leon has 3/8 the number of tropical fish that haru = 3/8K

Ratio of Leon to haru is 3/8K : K

thus 3/8 : 1

thus haru has 8 tropical fish

Leon has 3 tropical fish

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If 40% of a given number is 8, then what is 15% of the given number?
Norma-Jean [14]
40% of a given number is 8...
0.40x = 8
x = 8 / 0.40
x = 20....so 20 is the given number

what is 15% of 20...
0.15(20) = 3 <==== ur answer
5 0
3 years ago
One number is 23 more than another. If the sum of the two numbers is 163, find the two numbers.
kipiarov [429]

ANSWER

93 and 70

EXPLANATION

We have that one number is 23 more than another.

Let the first number be x.

Let the second number be y.

This means that:

x = 23 + y ____(1)

The sum of the two numbers is 163. This means that:

x + y = 163 ____(2)

Put (1) in (2):

23 + y + y = 163

23 + 2y = 163

2y = 163 - 23

2y = 140

y = 140 / 2

y = 70

From (1):

x = 23 + 70

x = 93

The two numbers are 93 and 70.

5 0
1 year ago
Find the value of x and y<br> 3х<br> 20<br> 25<br> 18<br> бу -2<br> Х=<br> ү=
sweet-ann [11.9K]

Answer: first one =109360044xy−36453348x−2, 2nd,=3037778998,last one,=1968480790

Step-by-step explanation:Evaluate for x=3x,y=6y−2

33x(2025186)(6y−2)−2

33x(2025186)(6y−2)−2

=109360044xy−36453348x−2

Evaluate for x=20,y=25

(3)(20)(2025186)(25)−2

(3)(20)(2025186)(25)−2

=3037778998

because 18 is by itself i just did Evaluate for x=18,y=18

(3)(18)(2025186)(18)−2

(3)(18)(2025186)(18)−2

=1968480790

7 0
3 years ago
1. Determine the magnitude of the resultant force acting on the plate and its direction, measured counter-clockwise from the pos
AlexFokin [52]
F1 . . . 100% of it = 900N is in the +x direction.

F2 . . . 70.7% of it (cos45°, 530.3N) is in the +x direction,
and 70.7% of it (sin45°, 530.3N) is in the +y direction.

F3 . . . 80% of it (520N) is in the -x direction,
and 60% of it (390N) is in the +y direction.

Total x-component:  900 + 530.3 - 520  =  1,950.3 N

Total y-component:  530.3 + 390  =  920.3 N

Magnitude of the resultant = √ (x²  +  y²)

                                       = √(1950.3²  +  920.3²)

                                       =  √4,650,070.09

                                       =   2,156.4 N  .

Angle of the resultant, measured counterclockwise
from the +x axis, is 
 
                               tan⁻¹  (y / x)

                         =    tan⁻¹  (920.3 / 1950.3)

                         =    tan⁻¹  (0.4719)

                         =    about    25.3°  .

Caution:
The same fatigue that degrades my ability to READ the question accurately
may also compromise the accuracy of my solutions.  Before you use this
answer for anything, check it, check it, check it !

 
4 0
3 years ago
A parabola has a focus of F(2, -0.5) and a directrix of y=-1.5 P(x,y) represents any point on the parabola, while D(x, -1.5) rep
prohojiy [21]
The sketch of the parabola is attached below

We have the focus (a,b) = (2, -0.5)
The point P(x,y)
The directrix, c at y=-1.5

The steps to find the equation of the parabola are as follows

Step 1
Find the distance between the focus and the point P using Pythagoras. We have two coordinates; (2, -0.5) and (x,y).
We need the vertical and horizontal distances to find the hypotenuse (the diagram is shown in the second diagram).
The distance between the focus and point P is given by
\sqrt{ (x-a)^{2}+ (y-b)^{2} }

Step 2
Find the distance between the point P to the directrix c. It is a vertical distance between y and c, expressed as y-c

Step 3
The equation of parabola is then given as 
\sqrt{ (x-a)^{2}+ (y-b)^{2} }=y-c
(x-a)^{2}+ (y-b)^{2}= (y-c)^{2} ⇒ substituting a, b and c
(x-2)^{2}+ (y--0.5)^{2}  = (y--1.5)^{2}
(x-2)^{2}+ (y+0.5)^{2}= (y+1.5)^{2}⇒Rearranging and making y the subject gives

y= \frac{ x^{2} }{2} -2x+1

7 0
4 years ago
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