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Dmitry [639]
2 years ago
6

An animal shelter takes in an average of 5 animals per day. The shelter must keep its total occupancy below 300. Currently, the

shelter has 165 animals.
If none of the animals get adopted, which inequality represents how many more days, x, the shelter can continue to take in animals without exceeding its occupancy limit?

A.
x < 25
B.
x < 27
C.
x < 33
D.
x < 35
Mathematics
2 answers:
Serggg [28]2 years ago
8 0

Answer:

B. x<27

Step-by-step explanation:

The shelter has 165 animals.

The shelter must keep its total occupancy below 300.

The shelter takes in an average of 5 animals per day. If x is the number of days, then in x days the shelter takes 5x animals. In total there will be

165+5x animals. This number must be less  than 300, so

165+5x< 300\\ \\5x< 300-165\\ \\5x< 135\\ \\x< 27

KIM [24]2 years ago
3 0

Answer:

B. x <  27

Step-by-step explanation:

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A rectangular field has an area 28800 sq.meter.its length is twice as long as its width.what is the length of its sides?
AVprozaik [17]
Let 
x---------> the length side of rectangle
y---------> the width side of rectangle

we know that
x=2y-----> equation 1
area=x*y-------> 28800=x*y------> equation 2
substitute 1 in 2

28800=[2y]*y-----> 28800=2y²-------> y²=14400------> y=120 m
x=2*y----> x=2*120------> x=240 m

the answer is
the length side of rectangle is 240 m
 the width side of rectangle is 120 m


5 0
3 years ago
-5a-9+a=15 Explain please
IgorC [24]

Answer:

a = -6

Step-by-step explanation:

-5a-9+a=15

Combine like terms

-5a+a  -9 = 15

-4a  -9 = 15

Add 9 to each side

-4a -9+9 = 15+9

-4a = 24

Divide by -4

-4a/-4 = 24/-4

a = -6

8 0
3 years ago
Read 2 more answers
2×|x|+19=167 find the values of x
Nuetrik [128]

Answer:

x = 74

Step-by-step explanation:

2 * x + 19 = 167

2x + 19 = 167

So we have to subtract 19 from both sides

2x = 148

Divide both sides by 2

x = 74

3 0
3 years ago
the length of a rectangle is represented by (6x-2), and the width is represented by (x-1). which expression best represents the
Scrat [10]

Answer:

14x - 6

Step-by-step explanation:

P = 2(length + width)

P = 2(6x - 2 + x - 1) = 2(7x - 3) = 14x - 6

7 0
3 years ago
Which of the following expressions can be used to show 5^3/2 is equivalent to radical 5^3
Nataly_w [17]

Answer:

Option (4) is correct.

Step-by-step explanation:

We need to show that 5^{3/2} is equivalent to radical \sqrt{5^3}.

We can do it as follows :

\sqrt{5^3} =(5^3)^{\dfrac{1}{2}}\\\\=5^{\dfrac{3}{2}}

Hence, the correct option is (4).

5 0
3 years ago
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