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podryga [215]
2 years ago
5

Solve the simultaneous equations 2x+3y=13 4x-y=-2

Mathematics
1 answer:
kherson [118]2 years ago
4 0
From eq1 ,
2x = 13-3y
x = 6.5-1.5y (eq 3)
sub eq 3 into eq2,
4(6.5-1.5y)-y=-2
26-6y-y=-2
-6y-y=-2-26
-7y=-28
7y=28
y=4 ( eq 4 )
sub eq4 into eq3 ,
x=6.5-1.5(4)
x=6.5-6
x=0.5


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Suppose I live in a society with two goods: X and Y. Production of ________________ is my next best alternative to the productio
skelet666 [1.2K]

Answer:

Y

opportunity cost

Step-by-step explanation:

The Production Possibilities Curve, shows the maximum combinations of two goods a theoretical economy can produce with the current state of technology and given the available resources.

Any increase in the production of one commodity must be done at the expense of the other, the opportunity cost of the good increased is the number of unit of the other that we have to give up.

in this question the opportunity cost of producing 10 more unit of good X is the 5 units of good Y that was given up.

6 0
3 years ago
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Shtirlitz [24]

The E3 is the same as writing 10^3.

The answer would be 7.9 x 10^3

3 0
3 years ago
1. A triangular swimming pool is an isosceles triangle in shape. The two
Nady [450]

Answer:

Side a = 35ft

Side b = 35ft

Side c = 20ft

Step-by-step explanation:

The formula for the perimeter of a triangle = Side a + Side b + Side c

In an isosceles triangle, 2 sides are equal to each other.

So, Side a = Side b

In the question, we are told that:

The two equal sides are each 5 ft less than twice the length of the third side.

Hence,

a = 2c - 5

b = 2c - 5

P = 90ft

P = a + b + c

90 = 2c - 5 + 2c - 5 + c

Collect like terms

90 = 5c - 10

90 + 10 = 5c

100 = 5c

c = 100/5

c = 20

The length of the third side = 20ft

a = 2c - 5

= 2 × 20 - 5

= 40 - 5

= 35 ft

b =2c - 5

= 2 × 20 - 5

= 40 - 5

= 35 ft

Therefore,

Side a = 35ft

Side b = 35ft

Side c = 20ft

3 0
3 years ago
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Arada [10]
1.
Convert 22 miles to feet.


1 mile = 5280 feet

22 × 5280 = 116,160 feet

2.
To convert this you divide the speed by 60 since there's 60 minutes in an hour
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6 0
3 years ago
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ruslelena [56]

Answer:

Rosaria purchased 50 bracelets and 70 necklaces

Step-by-step explanation:

Let the number of bracelets be b and the number of necklaces be n

b + n = 120 •••••(i)

Secondly;

10b + 11n = 1270 ••••(ii)

Total cost of b bracelets at 10 per 1 is 10b

Total cost of n bracelets at 11 per 1 is 11n

Adding both gives 1270

From i, b = 120-n

Substitute this into ii

10(120-n) + 11n = 1270

1200 - 10n + 11n = 1270

n = 1270-1200

n = 70

b = 120-n

b = 120-70

b = 50

4 0
3 years ago
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