One number is 800 less than 3 times the other, and their sum is 1,200. Find the numbers.

Answers

Answer 1

Answer: You can use variables to get the answer. So there's x, and the other number is 800 less than 3 times x

Their sum is 1,200, so you get this equation:

x + 3x - 800 = 1,200 (add like terms)
4x - 800 = 1,200 (add 800 on both sides)
4x = 2,000 (divide by 4 on each side)
x = 5,000

The first number is 5,000.
If the second number is 800 less than 3 times the other, 500(3) - 800 = 700.

CHECK YOUR WORK:
5,000 + 700 = 1,200
1,200 = 1,200

THE TWO NUMBERS ARE: 5,000 & 700

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2x - y = 10 y = -x - 1 Solve the system of equations (3, -4) no solution (9, 8)
I need help with that

The velocity v that an object r unitsfrom Earth's center must have in
order to escape Earth's gravity is
given by v2 = 2GM, where G is a
constant. Solve for the object's
mass M.

Answers

Earth's gravity for the object's mass M is $M = (v^(2) )/(2G)$ .

Here,

The velocity v that an object r units from Earth's center must have in order to escape Earth's gravity is given by,

$v^(2) = 2GM$

We have to find, Earth's gravity for the object's mass M.

What is Velocity?

The distance covered by a body in a unit time in a particular direction is called velocity.

Now,

Earth's gravity is given by,

$v^(2) = 2GM$

In terms of mass M,

⇒ $M = (v^(2) )/(2G)$ .

So, Earth's gravity for the object's mass M is $M = (v^(2) )/(2G)$ .

Learn more about the Velocity visit:

brainly.com/question/80295

#SPJ2

Answer:

M=v^2r / 2G

Step-by-step explanation:

Open the file, it is solved for you, your welcome.

BEST ANSWER GETS A METAL!!!!Which pair of complex numbers has a real-number product?

(1 + 3i)(6i)
(1 + 3i)(2 – 3i)
(1 + 3i)(1 – 3i)
(1 + 3i)(3i)

Answers

we will proceed to verify each case to determine the solution

remember that

$i^(2) =-1$

case A) $(1 + 3i)(6i)$

applying distributive property

$(1 + 3i)(6i)=1*6i+3i*6i \n=6i+18i^(2)\n=6i+18*(-1)\n=6i-18$

$-18+6i$ ------> is not a real number

therefore

the case A) is not a real number product

case B) $(1 + 3i)(2-3i)$

applying distributive property

$(1 + 3i)(2-3i)=1*2+1*(-3i)+3i*(2)+3i*(-3i)\n=2-3i+6i-9i^(2)\n=2+3i-9*(-1) \n=11+3i$

$11+3i$ ------> is not a real number

therefore

the case B) is not a real number product

case C) $(1 + 3i)(1-3i)$

applying difference of square

$(1 + 3i)(1-3i)=(1)^(2)-(3i)^(2)\n=1-9i^(2)\n=1-9*(-1) \n=10$

$10$ ------> is a real number

therefore

the case C) is a real number product

case D) $(1 + 3i)(3i)$

applying distributive property

$(1 + 3i)(3i)=1*3i+3i*3i \n=3i+9i^(2)\n=3i+9*(-1) \n=3i-9$

$-9+3i$ ------> is not a real number

therefore

the case D) is not a real number product

the answer is

$(1 + 3i)(1-3i)$

The answer is (1 + 3i)(1 – 3i).

I have no idea what im doing, please help :,)

Answers

Answer: 2 4 6 4 55567890

I need the coordinates for these

3x-2y=2

5x=5y+10

Answers

Answer:

solution is (-2, -4)

Step-by-step explanation:

I assume you want the solution?

so we want to find the intersection.

3x - 2y = 2

5x = 5y + 10

simplify the last equation

x = y + 2 by dividing out the 5

substitute

3*(y + 2) - 2y = 2

3y + 6 - 2y = 2

y + 6 = 2

y = -4

x = -4 + 2 = -2

solution is (-2, -4)

The sum of six times a number and 8 is equal to five times the number

Answers

the sum of 6 itmes a numbber (6 times x or 6x) and 8 (8) (6x+8) is equal to (=) 5 times the number (5x)

6x+8=5x
subtract 5x form both sides
6x-5x+8=5x-5x
x(6-5)+8=x(5+5)
x(1)+8=x(0)
x+8=0
subtract 8 from both sides
x=-8

$x-\ number\n\n6x+8=4x \ \ \ \ | subtract\ 4x\n\n2x+8=0\ \ \ | subtract\ 8\n\n2x=-8\ \ \ | divide\ by\ 2\n\nx=-4\n\nNumber\ is\ -4.$

A bicyclist travels at the rate of 8 miles in an hour. If the bicyclist continues at this rate, how many miles can the bicyclist travel in five hours?

Answers

they would 40 miles in 5 hours traveling at 8 miles an hour

The bicyclist traveled 40 miles in 8 hours so the answer is D) 40 miles it is correct i took the test

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