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Kruka [31]
3 years ago
11

a cat and dog shelter houses 23 animals there are 5 more cats x and dogs y write and solve a system of linear equations to find

the number to cats and dogs in the shelter
Mathematics
2 answers:
vampirchik [111]3 years ago
4 0

Answer:

There would be 14 cats and 9 dogs

Step-by-step explanation:

In order to find the amount of cats and dogs, we need to set up the system of equations. To do so, start by setting cats as x and dogs as y. Now we can write the first equation to show the total number of animals.

cats + dogs = 23

x + y = 23

Now we can write a second one that shows the difference in the number of cats and dogs.

cats - dogs = 5

x - y = 5

Now we can add the two equations together to solve for x.

x + y = 23

x - y = 5

2x = 28

x = 14

Now that we have the number of cats, we can find the number of dogs by using either equation.

x + y = 23

14 + y = 23

y = 9

STatiana [176]3 years ago
3 0

cats + dogs = 23

x + y = 23

x= 14

14 cats and 9 dogs

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A marker costs $0.99. A pad of paper costs $1.25 more than the marker, which is a more reasonable estimate for the total cost of
andrew11 [14]

Answer:

$3

Step-by-step explanation:

Because you have to also think about tax of the item. Plus add them both up and it costs $2.24 without tax. Which means it's already above $2.

8 0
3 years ago
Ms. Moran has started an investment club at BSS. $8000 is invested, some at 10%
labwork [276]
The answer can be readily calculated using a single variable, x:

Let x = the amount being invested at an annual rate of 10%
Let (8000 - x) = the amount being invested at an annual rate of 12%

The problem is then stated as:

(x * 0.10) + ((8000 - x) * 0.12) = 900
0.10(x) + ((8000 * 0.12) - 0.12(x)) = 900
0.10(x) + 960 - 0.12(x) = 900
0.10(x) - 0.12(x) = 900 - 960
-0.02(x) = -60
-0.02(x) * -100/2 = -60 * -100/2
x = 6000 / 2
x = 3000

Thus, $3,000 is invested at 10% = $300 annually; and $8,000 - $3,000 = $5,000 invested at 12% = $600 annually, which sum to $900 annual investment.
6 0
3 years ago
Write down the equation of a line that is parallel to the x-axis and passes through (-2, 5).​
Rudiy27

Answer:

y = 5

Step-by-step explanation:

If the line is parallel to the x-axis, regardless of the value of x, the value of y must remain at y = 5.  Therefore, x can be any number, (x,5), including -2.

8 0
3 years ago
If 1+4=5 and 2+5=12 and 3+6=18 what does 8+11=
stepladder [879]
1+4=5 & 2+5=12 THE REASON FOR 2+5=12 IS <span>5+2+5=12
</span>So the same is for the next

6 0
3 years ago
-64=(2cos(pi/2)+2i sin(pi/2))^n..... n=??​
zvonat [6]

Answer:

The real solution is n=6.

Step-by-step explanation:

\cos(\frac{\pi}{2})=0 while \sin(\frac{\pi}{2})=1

So the equation becomes:

-64=(2(0)+2i(1))^n

-64=(0+2i)^n

-64=(2i)^n

We know that 2^6=64. So let's see what n=6 gives us:

(2i)^6=64i^6=64i^4i^2=64(1)(-1)=-64.

-64  is the result we wanted.

n=6 is therefore a solution.

4 0
3 years ago
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