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IRINA_888 [86]
3 years ago
10

The table shows the animals at a petting zoo.What is the ratio of goats to the total number of animals?

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
5 0
Number of Goats in the zoo = 6
number of total animals = 2 + 4 + 3 + 6 = 15

So, ratio would be: 6/15 = 2/5

In short, Your Answer would be 2/5

Hope this helps!
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3. A clothing manufacturing company makes two types of jogging pants, design A and design B. the design A jogging pants sells to
andriy [413]

Answer:

z(max) =  256000  Php

x₁ = 10

x₂ = 110

Step-by-step explanation:

Jogging pants design                Selling Price       Cost    

weekly production

 Design A    x₁                                     2500            1750

  Design B    x₂                                    2100            1200      

1. z ( function is : )

z = 2500*x₁  +  2100*x₂       to maximize

First constraint weekly production

 x₁    +   x₂    ≤  120

Second constraint Budget

1750*x₁  +  1200*x₂   ≤   150000      

Then the model is

z = 2500*x₁  +  2100*x₂       to maximize

Subject to

 x₁    +   x₂    ≤  120

1750*x₁  +  1200*x₂   ≤   150000  

General constraints   x₁  ≥  0           x₂   ≥ 0            both integers

First table

z           x₁           x₂        s₁       s₂      cte

1       -2500      -2100    0       0         0

0          1              1          1        0  = 120

0      1750         1200     0       1   = 150000

Using AtoZmath online solver and after 6 iterations the solution is:

z(max) =  256000  Php

x₁ = 10

x₂ = 110

3 0
3 years ago
a red car is traveling 15 miles per hour faster than a blue car. if the red car travels 180 miles in the time needed for the blu
vlabodo [156]
Their distance differs by 15 miles for each hour of travel time. Thus, the travel time of interest is
.. (180 -144) miles/(15 miles/hour) = 2.4 hour

The red car's speed is 180 mi/(2.4 h) = 75 mi/h.
The blue car's speed is 144 mi/(2.4 h) = 60 mi/h.
5 0
3 years ago
Construct an inscribed circle in triangle PQR by finding the incenter of the triangle.
hodyreva [135]

Answer:

Check it below

Step-by-step explanation:

Hello!

By definition, the intercept of the 3 bisectors, within a triangle is the Incenter. So let's get started, by tracing three bisectors.

In the triangle PQR::

  1. Use a compass, open its legs with a little more than half of \overline{PQ}  . Place the needle point in the vertex of P. Mark!
  2. Do the same, placing the needle point in Q, following \overline{QP} direction. Mark
  3. Repeat it with the other triangle's line segment, namely:

\overline {QR},\:\overline{PR}

   4.Trace with a ruler, from each intersection point a line. You'll trace three lines then.

    5. Place the compass' needle point in this intersection point, (inside the triangle) with a hinge up to the triangle side, draw the circle inscribed.

 

7 0
3 years ago
It takes Dwight 1 1/3 hours to run the sunshine trail. Mike 3 1/5 hours to walk the same trail. How many times as long does it t
Anit [1.1K]

For this case we convert the mixed numbers to fractions:

Dwight:1 \frac {1} {3} = \frac {3 * 1 + 1} {3} = \frac {4} {3} = 1.33

Mike:3 \frac {1} {5} = \frac {5 * 3 + 1} {5} = \frac {16} {5} = 3.2

It is observed, that in fact, Mike takes more time to travel the road.

We subtract to know how much more time it takes Mike:

\frac {16} {5} - \frac {4} {3} = \frac {48-20} {15} = \frac {28} {15}

So, Mike takes \frac {28} {15} hours more than Dwight to walk the road.

Answer:

Mike takes\frac {28} {15}hours longer than Dwight to walk the road.

7 0
3 years ago
Garry is studying a square pyramid and wants to draw a net of the figure to help determine its surface area. Which net represent
notka56 [123]

Answer:

A net with a square base and 4 triangular side

Step-by-step explanation:

8 0
3 years ago
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