Let the number of cards in each group be 2x and 3x.
So,
2x + 3x = 120
5x = 120
x = 120 / 5
x = 24
Number of cards in each group is
2x = 2 × 24 = 48
3x = 3 × 24 = 72
Let's say the first truck weighs x tons
Then, the weight of 2nd truck = x+2 tons
The weight of 3rd truck = (x + 2) + 2 = x+4 tons
The weight of 4th truck = (x + 4) + 2 = x+6 tons
Total weight of 4 trucks:
x + (x+2) + (x+4) + (x+6) = 32
which can be solved easily to give x = 5
Answer:
The approximate area of the circle is 27.5184∧2
Step-by-step explanation:
In order to calculate the approximate area of the circle we would have to calculate the following formula:
approximate area of the circle=approximate area of one triangle*number of congruent sectors
number of congruent sectors=16
approximate area of one triangle=1/2*base*height
base=1.17 units
height=2.94 units
Therefore, approximate area of one triangle=1/2*1.17*2.94
approximate area of one triangle=1.7199 units∧2
Therefore, approximate area of the circle=1.7199 units∧2*16
approximate area of the circle=27.5184∧2
Answer:
Step-by-step explanation:
4x > -16 reduces to x > -4: All numbers greater than x = -4 (shaded area to the right of -4).
6x < -48 reduces to x < -8: All numbers to the left of -8 (shaded area to the left of -8).
Solution: (-infinity, -4) ∪ (-8, infinity)
The number line between -8 and -4 is not part of the solution set (is not shaded or darkened)
Draw an open circle at -8 and extend an arrow to the left of this circle. Then draw an open circle at -4 and extend an arrow to the right of this circle.
The <em>total surface</em> area of the three figures are 702 square feet.
<h3>How to estimate the amount of metal needed to produce a given amount of figures</h3>
According to this problem, we are required to determine the amount of metal needed to build three pieces with the dimensions presented in the figure.
In this case, we need to estimate the <em>total</em> surface area (
), in square feet, required for the production of the three pieces, that is, the product of the number of pieces (<em>n</em>), no unit, and the surface area of each piece (<em>A</em>).
Now we proceed to calculate the total surface area:
![+(5\,ft)\cdot (8\,ft)+2\cdot (3\,ft)\cdot (5\,ft) + 2\cdot (4\,ft)\cdot (2\,ft) + (3\,ft)\cdot (4\,ft) ]](https://tex.z-dn.net/?f=%2B%285%5C%2Cft%29%5Ccdot%20%288%5C%2Cft%29%2B2%5Ccdot%20%283%5C%2Cft%29%5Ccdot%20%285%5C%2Cft%29%20%2B%202%5Ccdot%20%284%5C%2Cft%29%5Ccdot%20%282%5C%2Cft%29%20%2B%20%283%5C%2Cft%29%5Ccdot%20%284%5C%2Cft%29%20%5D)
The <em>total surface</em> area of the three figures are 702 square feet. 
To learn more on surface areas, we kindly invite to check this verified question: brainly.com/question/2835293
