A powerful way to find out is to solve the equation. Let's try that.

   3 (d + 11) = 6 (d + 33)

Eliminate the parentheses: 3d + 33 = 6d + 198

Subtract 3d from each side: 33 = 3d + 198

Subtract 198 from each side: -165 = 3d

Divide each side by 3 : - 55 = d

There it is ... the solution to the original equation.
'd' has to be -55, otherwise the original equation isn't a true statement.
-55 is the ONLY number that 'd' can be. If you write in any other number
for 'd', the equation will be false.

For example, less see what the equation says when d=2 :

   3(2 + 11) = 6(2 + 33)

   3( 13 ) = 6( 35 )

   39    = 210

Is that a true statement ? Is 39 equal to 210 ?
No. 39 and 210 are not equal. They are different.
So the equation is not true when d = 2 .
The equation is true ONLY when d = -55 .

The equation has exactly one solution.

4 0

3 years ago

n parallelogram LMNO, MP = 21 m, LP = (y + 3) m, NP = (3y – 1) m, and OP = (2x – 1) m. What are the values of x and y? x = 10, y

seropon [69]

Answer:

The value of x = 11 and y = 2

Step-by-step explanation:

Given : parallelogram LMNO, MP = 21 m, LP = (y + 3) m, NP = (3y – 1) m, and OP = (2x – 1) m.

We have to find values of x and y.

Let P be the point of intersection of diagonals OM and LN.

In a parallelogram diagonal bisects at right angles and point of intersection divide diagonal in equal parts.

Thus, OP = MP and LP = PN

OP = MP , substitute the values, we get,

(2x-1) = 21

⇒ 2x = 22

⇒ x = 11

LP = PN , substitute the values, we get,

y + 3 = 3y -1

⇒ 3y - y = 4

⇒ 2y = 4

⇒ y = 2

Thus, the value of x = 11 and y = 2

8 0

4 years ago

Sumo-Sumo Gas Company has a tanker-truck for hauling gasoline. The cylindrical tank has a

atroni [7]

422.72 is your answer vote me brainliest if you liked it

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B8%7D%20%20%5Ctimes%20%20%5Cfrac%7B2%7D%7B4%7D%20%20%3D%20" id="TexFormula1

disa [49]

Answer:

7/16

Step-by-step explanation:

$\dfrac78 \times \dfrac24=\dfrac{7 \times 2}{8 \times 4}=\dfrac{14}{32}=\dfrac{7}{16}$

4 0

3 years ago