There are 70 dogs and 55 cats at the shelter. 7 dogs and 8 cats get adopted. What % of the animals got adopted?

Write an equation in slope intercept form for the line that passes through (2,-2) and is parallel to y=-5/2x+5

DENIUS [597]

$y=mx+b\\y=x-2$

Only y= x - 2 intercepts x-axis at 2 and y-axis at -2. Thus meaning that they intercept oppositely.

Find if both graphs are parallel, that means the equation must be false.

$x-2=-\frac{5}{2}x+5$

Multiply whole equation by 2 to get rid of the fractional 2.

$2x-(2)(2)=-\frac{5}{2}(2)(x)+5(2)\\ 2x-4=-5x+10\\2x-4+5x-10=0\\7x-14=0\\7x=14\\x=2$

Well, that doesn't seem to be parallel. This is called one solution answer. Both graphs intercept at (2,0). There are no linear graphs that intercept at (2,-2) except for y = x-2 so there are no graphs with (2,-2) that are parallel to the equation y = -5x/2+5

8 0

3 years ago

The sum of three numbers is 18. If every number is a prime number, what are the three numbers?

sleet_krkn [62]

The three numbers are 2, 5, and 11.

The sum of 3 numbers is 18. 2 + 5 + 11 = 18

Since the problem states that every number is a prime number, then the number must be a natural number greater than 1 that has no positive divisors other than 1 and itself.

2 / 1 = 2 OR 2 / 2 = 1 These numbers are prime numbers because their divisors
5 / 1 = 5 OR 5 / 5 = 1 are 1 and itself.
11/1 = 11 OR 11/11 = 1

4 0

3 years ago

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Please help! I really don’t understand this and I need to do this for homework

densk [106]

Answer:

Just move each point 17 units left, then 3 down. For example, for U, count seventeen points to the left, and once you are there, count 3 down. You should end up at (-7, 7). Do this for all the points.

Step-by-step explanation:

Hope this helps!

5 0

2 years ago

a car rental agency charge 20 per day plus 30 cents per mile. if you had one of the car for 5 days and your total bill is $197.5

Flura [38]

Answer:

325 miles

Step-by-step explanation:

$20 for each day

5 days

$0.30 for each mile

20(5) + 0.3x = 197.5

100 + 0.3x = 197.5

100 - 100 + 0.3x = 197.5 - 100

0.3x = 97.5

$\frac{0.3x}{0.3} = \frac{97.5}{0.3}$

x = 325

6 0

3 years ago

Using the numbers 5, 8, and 24, create a problem using no more than four operations (adding, subtracting, multiplication, divisi

Alik [6]

The given three numbers are 5,8,24.

We have to use four operations (Adding, Subtracting,multiplication, division, square, square root, cube, cube root) out of these operation to make the result an irrational number.

$1. \sqrt{\frac{24}{8}} + 5=\sqrt{3}+5,\\\\2. \sqrt{\frac{24}{8}} - 5=\sqrt{3} -5 \\\\ 3.\sqrt{\frac{24 \times 5}{8}}=\sqrt{15} \\\\ 4. (5 \times 8 \times 24)^\frac{1}{3}$

There are many more examples that you can write.

Keep in mind

1. Sum of Rational and irrational is always irrational.

2. Difference of rational and irrational is always irrational.

As none of the 5,8,24 is a perfect square , nor addition of any two results in a perfect square, so square root of their addition or subtraction or multiplication results in an irrational number.

Similarly ,apart from 8, none of 5,24 is a perfect cube.So if you add or subtract any number from 8 and take their cube root or square root ,results in an irrational number.

3 0

3 years ago

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