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Scorpion4ik [409]
4 years ago
12

A fruit company delivers its truit in two type of boxes: large and small. A delivery of 3 large boxes and 2 small boxes has a to

tal weight of 86 kilograms. A delivery of 8 large boxes and 4 small boxes has a total weight of 209 kilograms . How much does each type of box weight?
Mathematics
1 answer:
Ronch [10]4 years ago
8 0

Answer:

Large box: 18.5\ kilograms

Small box: 15.25\ kilograms

Step-by-step explanation:

Let be "l" the weight in kilograms of a large box and "s" the weight in kilograms of a smalll box.

Set up a system of equations:

\left \{ {{3l+2s=86} \atop {8l+4s=209}} \right.

In order to solve the system of equations, you can apply the Elimination Method. Multiply the first equation by -2, add the equations and then solve for "l":

\left \{ {{-6l-4s=-172} \atop {8l+4s=209}} \right.\\......................\\2l=37\\\\l=\frac{37}{2}\\\\l=18.5

Finally, susbstitute the value of "l" into any original equation and solve for "s":

3(18.5)+2s=86\\\\2s=86-55.5\\\\s=\frac{30.5}{2}\\\\s=15.25

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F(7) if f(x)=-3x-2 ​
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Answer:

f(7) = -23

Step-by-step explanation:

f(x) = -3x - 2

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f(7) = -21 - 2 = -23

4 0
2 years ago
the length of 3 peices of wire are in the ratio 10:15:8.if the length of the shortest peice of wire is 2.4 find the difference i
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7 0
3 years ago
what is the distance between point S and U? Round to the nearest tenth of a unit? A 3.3 B 6.4 C 8.1 D 12.0
ki77a [65]
The distance between the points (d) is found using the Pythagorean theorem.

Imagine the two points as defining the hypotenuse of a right triangle. The lengths of the legs of the triangle are the horizontal distance between the points and the vertical distance between the points. The the theorem tells us
   d² = 4² + 7²
   d² = 16 + 49
   d² = 65
   d = √65 ≈ 8.1

The distance between the points is
   C  8.1


_____
You know that the distance must be longer than the longest leg (7) and must be shorter than the sum of the two legs (4+7=11). The only answer choice between 7 and 11 is 8.1.

8 0
3 years ago
Will mark as brainliest if correct
lana [24]

Answer:

wala sa choices ang sagot.

ANS: 128

EXPLANATION

a(9)=14+2(9-1)

a(9)=14+2(8)

a(9)=16(8)

9= 128

yan sagot ko po

4 0
3 years ago
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