Ask question

Ask question

All categories

2 years ago

14

The sum of two numbers is 180. one number is 5 times the other

2 answers:

stepan [7]2 years ago

8 0

30 & 150. 150 is five times 30, and 150+30=180

Vlada [557]2 years ago

7 0

Let 2 numbers be x and y then

x + y = 180 and
y = 5x

plug y = 5x into the first equation:-

x + 5x = 180

x = 30

y = 180-30 = 150

The 2 numbers are 30 and 150

You might be interested in

Brenda was going to sell all of her stamp collection to buy a video game after selling half of them she changed her mind she the

BigorU [14]

Answer:

60 stamps

Step-by-step explanation:

Has 33 now. Before adding 13 stamps, she had (33-13) 30. This is half of her total, since she already sold half. To get the whole, multiply 30 by 2. 60 She started with 60

4 0

2 years ago

Three of the four vertices of a rectangle are located at (4, 2), (7, 2) and (4, 8). a. What are the coordinates of the missing v

34kurt

Answer:

a) The coordinates of the missing vertex = (7, 8)

b) Area = 18 square units

Perimeter = 18 units

Step-by-step explanation:

a) We know three of the four vertices:

A: (4, 2) C ______ D(?)

B: (7, 2) | |

C: (4, 8) A |______| B

To find the coordinates of the missing vertex we need to calculate the distance in the x-direction from point A to point B:

$B_{x} - A_{x} = 7 - 4 = 3$

Hence, the distance of point D from point C in the x-direction is:

$D_{x} = C_{x} + 3 = 4 + 3 = 7$

Now, to find the coordinate in "y" we need to calculate the distance in the y-direction between point C and point A:

$C_{y} - A_{y} = 8 - 2 = 6$

Then, the distance of point D from point B in the y-direction is:

$D_{y} = B_{y} + 6 = 2 + 6 = 8$

Therefore, the coordinates of the missing vertex (point D) are:

$D = (D_{x}, D_{y}) = (7, 8)$

b) The area of the rectangle is:

$a = (B_{x} - A_{x})*(C_{y} - A_{y}) = 3*6 = 18 units^{2}$

The perimeter is given by:

$p = 2*(3 + 6) = 18 units$

I hope it helps you!

8 0

2 years ago

Emmanuel carves a cone-shaped hollow out of a solid clay cylinder. What is the approximate volume of the solid portion of the cy

bixtya [17]

Answer:

$3.14r^2(h-\frac{1}{3}h_1)$

Step-by-step explanation:

Let h be the cylinders height and r the radius.

-The volume of a cylinder is calculated as:

$V=\pi r^2h$

-Since the cone is within the cylinder, it has the same radius as the cylinder.

-Let $h_1$ be the height of the cone.

-The area of a cone is calculated as;

$V=\pi r^2 \frac{h}{3}\\\\=\frac{1}{3}\pi r^2h_1$

The volume of the solid section of the cylinder is calculated by subtracting the cone's volume from the cylinders:

$V=V_{cy}-V_{co}\\\\=\pi r^2h-\frac{1}{3}\pi r^2 h_1, \pi=3.14\\\\=3.14r^2(h-\frac{1}{3}h_1)$

Hence, the approximate area of the solid portion is $3.14r^2(h-\frac{1}{3}h_1)$

5 0

3 years ago

Joseph reaches into a bag with 5 red marbles, 3 yellow marbles, and 2 green marbles, and randomly selects one. Then, he puts the

snow_tiger [21]

I think it is 3:10 but im not really sure

3 0

3 years ago

If I multiply the numbers of the last three pages of the book, I get the product of 23,639,616. How many pages does the book hav

zepelin [54]

Answer:

286,287,288

Step-by-step explanation:

(x)(x+1)(x+2)=23639616

x^3+3x^2+2x=23639616

After solving the equations, you should get the answers.

8 0

2 years ago