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HACTEHA [7]
3 years ago
12

a fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 2 small boxes has a t

otal weight of 73 kg. A delivery of 8 large boxes and 4 small boxes has a total weight of 177 kg. how much does each type of box weigh?
Mathematics
2 answers:
TiliK225 [7]3 years ago
5 0

Answer:

x = the wight of the large box

y = the weight of the small box

A delivery of 3 large boxes and 2 small boxes has a total weight of 73 kilograms.

3x + 2y = 73

A delivery of 8 large boxes and 4 small boxes has a total weight of 177 kilograms.

8x + 4y = 177

by solving the system of equations

3x + 2y = 73

8x + 4y = 177

we find

x = 15.5 kg

y = 13.25 kg

the large box weights 15.5 kg.

the small box weights 13.25 kg.

ipn [44]3 years ago
3 0

Answer:

Step-by-step explanation:

3L + 2S = 73 .....multiply by -2

8L + 4S = 177

---------------------

-6L - 4S = - 146 (result of multiplying by -2)

8L + 4S = 177

--------------------add

2L = 31

L = 31/2

L = 15.5 <=== large boxes weigh 15.5 kg (or 15 1/2 kg)

3L + 2S = 73

3(15.5) + 2S = 73

46.5 + 2S = 73

2S = 73 - 46.5

2S = 26.5

S = 26.5 / 2

S = 13.25 <=== small boxes weigh 13.25 kg (or 13 1/4 kg)

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MaRussiya [10]
Area od pizza, A = Pi*Diameter^2/4

A1 = Pi*8^2/4 = 50.27 in^2
A2 = Pi*10^2/4 = 78.54 in^2
A3 = Pi*12^2/4 = 113.10 in^2

Cost (C) per sq. in;
C1 = 50.27/9 = $5.59
C2 = 78.54/12 = $6.55
C3 = 113.10/18 = $6.28

The best buy is the first pizza with 8 in diameter as it costs the least per sq. inch.
3 0
3 years ago
Read 2 more answers
Help !! No work is needed to be shown
o-na [289]

Step-by-step explanation:

By Law of Indices, a^m / a^n = a^(m-n).

Therefore a² / a⁸ = a^(-6).

x = -6.

5 0
3 years ago
A rectangular garden is extended 4% on the long sides and 8% on the short sides. To the nearest hundredth of a percent, by what
liq [111]

Answer: 12.32%

Step-by-step explanation:

1. x is the original long side and y is the original short side.

2. The area of the original rectangle is xy.

3. The rectangle is extended 4% on the long sides and 8% on the short sides. therefore, the new long side is:

\frac{104}{100}x=\frac{26}{25}x

4. And the new short side is:

\frac{108}{100}y=\frac{27}{25}y

5. The new area is:

(\frac{26}{25}x)(\frac{27}{25}y)=\frac{702}{625}xy

6. The percentage of increase is calculated by substracting the new area and the original area:

\frac{702}{625}xy-xy=0.1232xy

7. The result is:

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3 0
3 years ago
1. The perimeter of the square is f(x) = 4x, where x is the side of the square. Find the domain of the function.
Mkey [24]

If the perimeter of the square is 4x then the domain of the function will be set of rational numbers and the domain of the function y=3x+8(3-x) is set of real numbers.

Given The perimeter of the square is f(x)=4x and the function is y=3x+8(3-x)

We will first solve the first part in which we have been given that the perimeter of the square is 4x and we have to find the domain of the function.

First option is set of rational numbers which is right for the function.

Second option is set of whole numbers which is not right as whole number involves 0 also and the side of the square is not equal to 0.

Third option is set of integers which is not right as integers involve negative number also and side of square cannot be negative.

Hence the domain is set of rational numbers.

Now we will solve the second part of the question

f(x)=3x+8(3-x)

we have not told about the range of the function so we can put any value  in the function and most appropriate option will be set of real numbers as real number involve positive , negative and decimal values also.

Learn more about perimeter here brainly.com/question/19819849

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6 0
1 year ago
Read 2 more answers
Please answer the question
soldi70 [24.7K]
The formula is side squared+(2)(side)(height)=answer
So 10x10=100,
2x10=20,
20x8=160
=100+160
=260.
The answer is 260.
4 0
3 years ago
Read 2 more answers
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