At the veterinarian's office, 4 animals out of every 5 seen were cats. A total of 35 animals were seen.a. How many cats were seen?

b. The ratio of male cats seen was 6:7. How many of the cats seen were males?

Answers

Answer 1

Answer: a: 28 cats were seen, to find the answer you multiply the ratio, 4:5 by 7 so that the total animals is 35, 28:35
b:24 cats seen were males, you do this problem similar to the other one. Multiply the ratio by 4 so that the total number of cats is 28, 24:28

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PLEASE HELP !!! Which polygon is a concave octagon?

X^2-5x-24=0

3x^2+x-4=0

Solve by factoring or using the quadratic formula

Answers

$x^2-5x-24=0\n\n-5x=3x-8x\n-24=3\cdot(-8)\n\nx^2-5x-24=0\n\n\Downarrow\n\n(x+3)(x-8)=0\iff x+3=0\ \vee\ x-8=0\n\nx=-3\ \vee\ x=8$

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$3x^2+x-4=0\n\na=3;\ b=1;\ c=-4\n\n\Delta=b^2-4ac\to\Delta=1^2-4\cdot3\cdot(-4)=1+48=49\n\nx_1=(-b-\sqrt\Delta)/(2a)\to x_1=(-1-√(49))/(2\cdot3)=(-1-7)/(6)=(-8)/(6)=-(4)/(3)\n\nx_2=(-b+\sqrt\Delta)/(2a)\to x_2=(-1+√(49))/(2\cdot3)=(-1+7)/(6)=(6)/(6)=1$

$x^2-5x-24=0\n x^2+3x-8x-24=0\n x(x+3)-8(x+3)=0\n (x-8)(x+3)=0\n x=8 \vee x=-3$

$3x^2+x-4=0\n 3x^2-3x+4x-4=0\n 3x(x-1)+4(x-1)=0\n (3x+4)(x-1)=0\n x=-(4)/(3) \vee x=1$

Write the equation of a line through the points (2,3) and (-1,-9)

Answers

Answer:

with the points (2,3) and (-1,-9) the answer is y=4x+10

Step-by-step explanation:

you have to do (x1,y1) (x2,y2) thats for each point

the equation to get the slope is y2-y1 divided by x2,x1

to get the y-intercept to plug in one of the points to the slope-intercept equation

y=4x+5

I picked the points (2,3) but you should get the same answer with the other points

3=4(2)=5

3=8+5

3=13

-3+-3

=10 thats your y intercept.

204 thousand of rename the number

Answers

two thousand four or twenty four thousand or two hundred and four thousand

A camper attaches a rope from the top of her tent, 4 ft above the ground, to give it more supporting she takes a rope to the ground 6 feet from the middle of the tent, about how long is the rope from the ground to the tent

Answers

The rope is tied 4.5 ft from the center of the tent.

What is the Pythagorean theorem?

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

The value of c is calculated as:-

a² + b² = c²

It is given the rope is attached to the top of her tent and the rope the camper takes is 6ft long and tied to the ground. A right-angle triangle is formed with hypotenuse as 6 ft and height that one of the legs of the right triangle as 4 ft.

The length of the rope from the ground to the tent will be calculated as below:-

By Pythagoras's Theorem :

a² + b² = c²

4² + b² = 6²

b² = 36 - 16 = 20

b = √20 = 4.47 ft.

Therefore, the rope is tied 4.5 ft from the center of the tent.

To know more about the Pythagorean theorem follow

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Answer:The rope is tied 4.5 ft from the center of the tent.

Step-by-step explanation:

It is given the rope is attached from top of her tent and the rope the camper takes is 6ft long tied to the ground.A right angle triangle is formed with hypotenuse as 6 ft and height that is one of the legs of the right triangle as 4 ft . We need to find the other leg of the right triangle which will represent the ground distance from the middle of tent to the point where the rope is tied .

By Pythagoras's Theorem :

$a^(2) +b^(2) =c^(2)$

Where a and b are the legs and c the hypotenuse of the right triangle.

Substituting the values of a and c we have:

$4^(2) +b^(2) =6^(2)$

or $16+b^(2) =36$

$b^(2) =36-16=20.$

Tabing root of both sides b=4.47.

The rope is tied 4.5 ft from the center of the tent.

Caroline bought 20 shares of stock at 101/2, and after 10 months the value of the stocks was 111/4. If Caroline were to sell all her shares of this stock, how much profit would she make? A. $15 B. $10 C. $225 D. $210