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meriva
2 years ago
8

Kevin sold 2 unicycles and 1 bicycle for a total of $110. Greg sold 4 unicycles and 3 bicycles for a total cost of $268. What is

the cost of 1 bicycle?
Mathematics
1 answer:
RSB [31]2 years ago
4 0
Simultaneous Equations

2u +   b = $110
4u + 3b = $268

(x2) 4u + 2b = $220
(x1) 4u + 3b = $268

<em />If both the matching coefficients are the same, we subtract equation 2 from equation 1

2b - 3b = -b
$220 - $268 = $-48
-b = -$48
b = $48

If you want to find out what a unicycle costs...
Substitute b = $48 into the first equation
2u + $48 = $110
Balance the equation, whatever happens on one side, happens on the other.
2u + $48 (-$48) = $110 (-$48)
2u = $62
2u(/2) = $62(/2)
u = $31 
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Which expressions are equivalent to (5g+3h+4) •2
timama [110]

Step-by-step explanation:

Unfortunately you didn’t provide the expressions to chose from

however, we can write :

(5g+3h+4) •2 = 2*5g + 2*3h + 2*4  (using distributive property)

                     = 10g + 6h + 8.

5 0
2 years ago
Braceleftzf y = 8/7 x − 2/3 <br> 8/3 x + y = 5/9
givi [52]

Answer:

  (x, y) = (77/240, -3/10)

Step-by-step explanation:

It is convenient to write the equations in standard form.

Multiplying the first equation by 21 gives ...

  21y = 24x -14

Multiplying the second equation by 8 gives ...

  24x +9y = 5

Then the system of equations in standard form is ...

  • 24x -21y = 14
  • 24x +9y = 5

Subtracting the first from the second, we get ...

  (24x +9y) -(24x -21y) = (5) -(14)

  30y = -9

  y = -9/30 = -3/10

Substituting this into the second equation, we have ...

  24x +9(-3/10) = 5

  24x = 7.7 . . . . . . . add 27/10

  x = 7.7/24 = 77/240

The solution is (x, y) = (77/240, -3/10).

7 0
3 years ago
9. If f(x) = 5x-4 and f(2a) =156 , then what is the value of a?
solmaris [256]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

f(x) = 5x - 4

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

f(2a) = 5(2a) - 4

f(2a) = 10a - 4

156 = 10a - 4

10a - 4 = 156

Add sides 4

10a - 4 + 4 = 156 + 4

10a = 160

Divide sides by 10

\frac{10a}{10}  =  \frac{160}{10}  \\

a = 16

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

7 0
3 years ago
The Campbell family has a disposable income of $60,000 annually. Assume that their marginal propensity to consume is 0.8 (the Ca
posledela
<span>Given the Keynesian equation C=A+MD, we find 10000 + (0.8 x 60000) = $58000. M is the Marginal propensity to consume, the A is the Autonomous consumption, and D is disposable income, giving Annual consumer spending as C.</span>
7 0
3 years ago
12. The weight of 7 chocolate bars in grams are 131, 127,125,127,133,129 and 127
Amanda [17]

Answer:

The range is from 125 to 133.

Step-by-step explanation:

That's the lowest and highest the weights go, therefore the range is from 125 and anything in between up to 133.

7 0
3 years ago
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