There are six marbles total.
Answer:
x = - 8
Step-by-step explanation:
Here we are given a linear single variable equation of x and we have to solve it.
Now, the equation is 4(2x + 1) = 6x - 12
⇒ 8x + 4 = 6x - 12 {By distributive property of multiplication}
⇒ 8x - 6x = - 12 - 4
{Separating the x terms to one side and the constant terms to the other side}
⇒ 2x = - 16
⇒ x = - 8 {Dividing both sides by 2} (Answer)
The area of the rectangle URST is 135 mm². so the option C is correct.
<h3>What are Congruent rectangles?</h3>
Congruent rectangles have the same lengths of sides, same measures of angles and same areas and same perimeters
The Rectangle ABCD is congruent to rectangle URST
Given; Rectangle ABCD ≅ rectangle URST
AB = UR , BC = RS , CD = ST , AD = UT
AB = 9 millimeters
UR = 9 millimeters
We know that, The area of any rectangle = l × w,
In rectangle URST
∵ UR = 9 millimeters
∵ RS = 15 millimeters
- Assume that UR = l and RS = w
The area of rectangle URST = UR × RS
The area of rectangle URST = 9 × 15 = 135 millimeters²
Hence, The area of rectangle URST is 135 mm²
Learn more about rectangle here;
brainly.com/question/13307509
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Answer:
there are no solutions
Step-by-step explanation:
x-3y=-3
-2x+6y=12
multiply the first equation by 2
2( x-3y)=-3*2
2x-6y = -6
add the 2 equations together
2x-6y = -6
-2x+6y=12
-------------------
0 = -6
this is not true
so there are no solutions
<span>L/h stand for liter per hour
Now the given problem is 105.6 l/h = l/m
=> this means we need to convert 105.6 liters per hour to liters per minute
Now let’s analyse
=> there are 105.6 liters in 1 hour
=> there are 60 minutes in 1 hour
=> 105.6 liters / 60 minutes
=> 1.76 liters / minute
Thus the answer is:
=> 105.6 liters per hours is equals to 1.76 liters per minute.</span>