MATHEMATICS HIGH SCHOOL

Simplify 1/2/5 please.

Answers

Answer 1
Answer:

Answer:

0.1

Step-by-step explanation:

(1/2)/5 = 0.1
Answer 2
Answer:

Answer:

Step-by-step explanation:

1/2 x 1/5 = 1/10

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Tourist: "How many birds and lions do you have in your zoo?" Zookeeper:"There are 30 heads and 100 feet." Find the number of each animal. I need to know how to set this problem up in a system of linear equations. Thank you.

Answers

Each lion has 1 head.  The number of lion heads is L .
Each bird has 1 head.  The number of bird heads is B.
The total number of heads of all species is (L + B) = 30

Each lion has 4 feet.  The number of lion feet is 4L .
Each bird has 2 feet.  The number of bird feet is 2B .
The total number of feet of all species is (4L + 2B) = 100

The system of linear equations is:

         L +   B =  30
       4L + 2B = 100 .

Carlos had to manage his inventory of veggies. He had to balance the number of carrots, c, with the number of tomatoes, t. 4c - 6t = 6 2c + 2t = 8. How many tomatoes should he have?

Answers

carlos should have 1 tomato
if you solve the 2nd equation for c and plug it in you get 1

Find the vertex, focus, directrix, and focal width of the parabola: -1/40x^2=y

Answers

for
(x-h)^2=4p(y-k)
vertex is (h,k)
distance from vertex to directix=p=distance from vertex to focus
|4p|=focal width

remember, focus is on the side of the parabola where it opens and directix is at the back
when p is negative, it opens down
when p is positive, it opens up

look at equation
-1/40(x-0)^2=(y-0)
times -40 to both sides
(x-0)^2=-40(y-0)
(x-0)^2=4(-10)(y-0)
vertex=(0,0)
p=-10,it's negative so it opens down

focus is 10 units below vertex (y direction)
focus=(0,-10)

diretix is 10 above
directix is y=10

focal width=|4p|=|4(-10)|=|-40|=40




vertex=(0,0)
focus=(0,-10)
directix is y=10
focal width=40 units

The weights of 1,000 men in a certain town follow a normal distribution with a mean of 150 pounds and a standard deviation of 15 pounds. From the data, we can conclude that the number of men weighing more than 165 pounds is... and the number of men weighing less than 135 pounds is....

Answers

The weights of 1,000 men in a certain town follow a normal distribution with a mean of 150 pounds and a standard deviation of 15 pounds. From the data, we can conclude that the number of men weighing more than 165 pounds is beyond the mean weight of 1000 men and the number of men weighing less than 135 pounds is less than the mean weight of 1000 men.

Marcie bought a can of corn at the supermarket. The price on the shelf said $3.99, but when Marcie went through the checkout lane, she presented the cashier with a piece of paper that allowed the cashier to reduce the price by $0.25. Which type of discount is this?A. A sale
B. A gift card
C. A coupon
D. A rebate

Answers

That sure sounds like a coupon to me

Answer:

a coupon- apex

Step-by-step explanation:

If each quadrilateral below is a rectangle find the missing measure in #3

Answers

You can solve this exercise as below (View the figure attached):

 1.Divide the figure in four equals parts. Now we have 4 rectangles with the same dimensions.
 2.Choose the rectangle that has the angle given in the problem, which we will call "α" (α=59°). 
 3. We must remember that the sum of the internal angles of a triangle is 180°. We have α=59° and the right angle, so we can find the other one, which we will call "β1":
 β1=180°-90°-59° β1=31°
 4. As we can see in the figure, "α" is alternate interior with α1 (α=α1=59°) and β1 is alternate interior with m∠11 (β1=m∠11=31°).
 5. The others rectangles have the same dimensions of the rectangle we chose, so they have the same angles too.
 We can notice in the figure that m∠7+m∠8+m∠9+m∠10= 360°

 The answer is:
 m∠1=59°
 m∠2=31°
 m∠3=59°
 m∠4=31°
 m∠5=31°
 m∠6=59°
 m∠7=118°
 m∠8=62°
 m∠9=62°
 m∠10=118°
 m∠11=31°
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