All categories

2 years ago

2q+10=7q how do i break this down to get the answer

2 answers:

7 0

So subtract 2q from both sides.
This will cancel out the 2q on the left.
So the equation right now should be 10=5q.
Now divide each side by 5.
10/5=2
2=q.
That's the answer! Hope this helped!!

matrenka [14]2 years ago

5 0

Answer:

The value of q is 2.

Step-by-step explanation:

The given equation is

$2q+10=7q$

Using subtraction property of equality, subtract 2q from both sides.

$2q+10-2q=7q-2q$

Combine like terms.

$(2q-2q)+10=(7q-2q)$

$0+10=5q$

$10=5q$

Using division property of equality, divide both sides by 5.

$\frac{10}{5}=\frac{5q}{5}$

$2=q$

Therefore the value of q is 2.

You might be interested in

This week, Marie trimmed 61% of the bushes in her yard. Katie trimmed 7/20 of the bushes in her yard. Who has trimmed a greater

NemiM [27]

Answer- Marie
7/20 = 0.35 = 35%
61% > 35%

5 0

1 year ago

A community swimming pool is 90 2/5 feet long and 55 1/2 feet wide. If Natalie swims the perimeter of the pool four times, what

Drupady [299]

Answer:

the right answer is 254

Step-by-step explanation:

902/5+551/2

=63.5

and Natalie swims the pool 4 times

therefore,

4×63.5=254

3 0

2 years ago

Please help! A-level maths.

astra-53 [7]

$x+y=k\implies y=k-x$

Substitute this into the parabolic equation,

$k-x=6-(x-3)^2\implies x^2-7x+(k+3)=0$

We're told the line $x+y=k$ intersects $C$ twice, which means the quadratic above has two distinct real solutions. Its discriminant must then be positive, so we know

$(-7)^2-4(k+3)=49-4(k+3)>0\implies k$

We can tell from the quadratic equation that $C$ has its vertex at the point (3, 6). Also, note that

$-1\le\sin t\le1\implies3\le3+2\sin t\le5\implies3\le x\le5$

and

$-1\le\cos2t\le1\implies2\le4+2\cos2t\le6\implies2\le y\le6$

so the furthest to the right that $C$ extends is the point (5, 2). The line $x+y=k$ passes through this point for $2+5=k\implies k=7$ . For any value of $k$ , the line $x+y=k$ passes through $C$ either only once, or not at all.