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Twice the sum of a number and 3 times a second number is 4. The difference of ten times the seco

34kurt

Two numbers that gives twice the sum of a number and 3 times a second number is 4. The difference of ten times the second number and five times the first is 90 are -10 and 4

Given :

Twice the sum of a number and 3 times a second number is 4. The difference of ten times the second number and five times the first is 90.

Let a and b be the two unknown numbers

Lets frame equation using the given statements

Twice the sum of a number and 3 times a second number is 4.

$2(a+3b)=4\\a+3b=2$

the difference of ten times the second number and five times the first is 90

$10b -5a=90\\Divide \; by \;5 \\2b-a=18$

Now use these two equations to solve a and b

$a+3b=2\\-a+2b=18$

Add both the equations

$a+3b=2\\-a+2b=18\\--------------------------\\5b=20\\b=4$

Now find out 'a'

$a+3b=2\\a+3(4)=2\\a+12=2\\a=2-12\\a=-10$

The two numbers are -10 and 4

Learn more : brainly.com/question/13856304

4 0

2 years ago

sally and belvedere are collecting shirt with a ratio of 4:10. if they collected 462 shirts altogether, how many shirts did sall

Korvikt [17]

Answer:

Step-by-step explanation:

500

5 0

2 years ago

Explain how you could use a number line to show that -4 + 3 and 3 + (-4) have the same value

iogann1982 [59]

Find (-4) on the number line and move 3 to the right. You will end up at (-1).

Find (3) on the number line and move 4 to the left. You will end up at the same value of (-1).

6 0

3 years ago

Helppppppppppppppppppppppppp

KiRa [710]

<h2>Answer:</h2><h2>52.7856 cm</h2>

Solution,

diameter=16.8 cm

radius=8.4 cm

Circumference of circle=2 pi r

 = 2*3.142*8.4

 =52.7856 cm

Hope it helps

Good luck on your assignment

5 0

3 years ago

What value of x in the solution set of 2(3x – 1) ≥ 4x – 6?

Brrunno [24]

First, you must distribute 2(3x-1).
To do that, you will multiply 2•3x, and 2•-1 because you are taking the number outside of the parentheses and multiplying (distributing) it to all the numbers inside

After distributing, the left side of your inequality will be 6x-2

Now you have
$6x - 2 \geqslant 4x - 6$

To find the value of x, you must subtract an x value from both sides of the equation, as well as a constant from each side.

so you have
$6x - 2 \geqslant 4x - 6 \\ - 6x \geqslant + 6$
And that will make the equation
$- 4 \geqslant - 2x$
Now, divide the variable side, ***BUT, because you are dividing by a negative number in an inequality, the inequality will switch sides.

Then, the value of x is greater than or equal to 2

5 0

2 years ago

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