This is the concept of algebra, suppose that the number of cats is x;
number of cats will be x-20
number of rabbits will be 3/2x
thus the total number of animals will be:
x+(x-20)+3/2x=350
7/2x=350+20
7/2x=370
x=370*2/7
x=105.7=106
therefore we conclude that there we 106 cats in the shelter
Answer:
88°
Step-by-step explanation:
The triangle is an isosceles triangle, so two of the angles are both 46°. We also know that the sum of all the angles in any triangle is 180°, so we can set up the following equation:
46° + 46° + e = 180°
Solving this gets e = 88°.
Answer:
other x values are -5,-4
Step-by-step explanation:
f(x)=0 for x=−6
Apply synthetic division to get the quotient . using that we find other two values of x
-6 1 15 74 120
0 -6 - 54 -120
-------------------------------------------------
1 9 20 0
the quotient is 
now factor the left hand side, product is 20 and sum is 9

So other x values are -5,-4
Answer:
17.5 or 35
Step-by-step explanation:
because 350/10=35
350/12=17.5
The solution to the system of inequalities is (-3.375, 1.75)
<h3>How to graph the inequalities?</h3>
The system of inequalities is given as:
3y > 2x+12
2x+y < -5
Next, we plot the graph of the system using a graphing tool
From the graph, both inequalities intersect at
(-3.375, 1.75)
Hence, the solution to the system of inequalities is (-3.375, 1.75)
Read more about system of inequalities at:
brainly.com/question/19526736
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