Please Solve This Equation

Mathematics

1 answer:

IgorLugansk [536]3 years ago

6 0

The answer is A 7 7/10

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One number is 2 more than 3 times another. Their sum is 22. Find the numbers.

ivolga24 [154]

Make a system of equations.

$\sf~x=3y+2$
$\sf~x+y=22$

Re-arrange the 2nd equation:

$\sf~x+y=22$

Subtract y to both sides:

$\sf~x=-y+22$

Plug in -y + 22 for 'x' in the first equation.

$\sf~x=3y+2$

$\sf~-y+22=3y+2$

Subtract 3y to both sides:

$\sf~-4y+22=2$

Subtract 22 to both sides:

$\sf~-4y=-20$

Divide -4 to both sides:

$\sf~y=\boxed{\sf5}$

Plug this into any of the two equations to find 'x':

$\sf~x+y=22$

$\sf~x+5=22$

Subtract 5 to both sides:

$\sf~x=\boxed{\sf17}$

So one of the numbers is 5 and one of them is 17.

6 0

3 years ago

Answer a is 12/35 <br>answer b is 12/37 <br>answer c is 35/12 <br>answer d is 35/37

Rainbow [258]

Answer:

c. 35/12

Step-by-step explanation:

Use soh cah toa, tangent equals opposite over adjecent. A also remember tangent by remembering that it is the only ratio to not use the hypotenuse.

7 0

3 years ago

A package 25 mechanical pencils costs $5.75 how much doe each pencil cost

Blababa [14]

Cost per one is 5.75/25=0.23

each one costs 23 cents

6 0

3 years ago

Like terms that have the same __________, with each variable raised to the same exponent.

kvv77 [185]

I think It should be "Variable".

7 0

3 years ago

10. The city's elevation is 15.3 feet

Airida [17]

The elevation of the city is between -15 and -16

Step-by-step explanation:

The Earth surface is highly uneven. Hence for relative comparison, scientist over the world assume the sea level as the reference point (meaning that sea level is considered to be at 0 elevation and all other elevations and depths are calculated regarding the sea level)

As given in the question city’s elevation is 15.3 feet below sea level. Hence the city is below the sea level by 15.3 feet

On the mathematical scale below 0 would mean the number system is negative. Similarly, the city is located at -15.3 feet when compared to sea level which is at 0 feet.

Hence -15.3 would lie between -15 and -16

7 0

3 years ago