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Harrizon [31]
3 years ago
14

Mia and John are selling boxes of apples. They have small boxes and large boxes. Mia sells 6 small boxes and 2 large boxes for a

total of $28. John sells 4 small boxes and 5 large boxes for a total of $37. How much does each small box and each large box cost?
Mathematics
2 answers:
kvasek [131]3 years ago
6 0

so

6s+2l = 28

4s+5l=  37

eliminate 6s+2l=28 by dividing all numbers by 6

u get s= -1/3 l + 14/3

49-1/3l=14/3) + 5l =37

L=5

s= -1/3(5) + 14/3

s=3

l=5

     

Galina-37 [17]3 years ago
3 0

Answer:

Smalls boxes: $3

Large boxes: $5

Step-by-step explanation:

Small boxes: x

Large boxes: y

6x + 2y = 28

4x + 5y = 37

I will use elimination to solve it.

2(6x + 2y = 28) = 12x + 4y = 56

-3 (4x + 5y = 37) = -12x + 15y = -111

(4y = 56) + (-15y = -111)

4y -15y = -11y and 56 - 111 = -55

-11y = -55

y = 5

6x + 2(5) =28

6x = 28-10

x = 18/6

x = 3

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Answer:

Step-by-step explanation:

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3 years ago
2. A right triangle has a hypotenuse of 15 cm. What are possible lengths for the two legs of the triangle? Explain your reasonin
dolphi86 [110]

Answer:

Two possible lengths for the legs A and B are:

B = 1cm

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Or:

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Step-by-step explanation:

For a triangle rectangle, Pythagorean's theorem says that the sum of the squares of the cathetus is equal to the hypotenuse squared.

Then if the two legs of the triangle are A and B, and the hypotenuse is H, we have:

A^2 + B^2 = H^2

If we know that H = 15cm, then:

A^2 + B^2 = (15cm)^2

Now, let's isolate one of the legs:

A = √( (15cm)^2 - B^2)

Now we can just input different values of B there, and then solve the value for the other leg.

Then if we have:

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A = √( (15cm)^2 - (1cm)^2) = 14.97

Then we could have:

B = 1cm

A = 14.97cm

Now let's try with another value of B:

if B = 9cm, then:

A = √( (15cm)^2 - (9cm)^2) = 12 cm

Then we could have:

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velikii [3]

The length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° is 5.655 meters.

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θ is the angle, which arc creates at the centre of the circle in degree.

The length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° can be written as

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AlladinOne [14]

Answer:

Step-by-step explanation:

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Step by step solution :

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