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Setler [38]
3 years ago
5

Leila puts an integer into the "In" box of each machine.

Mathematics
1 answer:
kykrilka [37]3 years ago
4 0

The machines represent equivalent expressions.

The output produced by both machines is 372

The equation represented on machine A is:

\mathbf{y = 2(5x + 3) - 24}

The equation represented on machine B is:

\mathbf{y = 4(2(x + 11) - 7)}

Where: x and y represent the inputs and the outputs, respectively

When the outputs are the same, it means:

\mathbf{y = y}

So, we have:

\mathbf{2(5x + 3) - 24 = 4(2(x + 11) - 7)}

Open brackets

\mathbf{10x + 6 - 24 = 8x + 88 - 28}

\mathbf{10x - 18 = 8x + 60}

Collect like terms

\mathbf{10x - 8x = 18 + 60}

\mathbf{2x = 78 }

Divide both sides by 2

\mathbf{x = 39 }

Substitute 39 for x in \mathbf{y = 2(5x + 3) - 24}

\mathbf{y = 2 \times (5 \times 39 + 3) - 24}

\mathbf{y = 372}

Hence, the output produced by both machines is 372

Read more about equivalent expressions at:

brainly.com/question/15715866

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Rufina [12.5K]

Answer: 152,500

hope it helps

4 0
3 years ago
Read 2 more answers
If people blink about 13 times per minute, how many times do they blink in 7 hours?
SCORPION-xisa [38]

Answer:

Step-by-step explanation:

1 hour=60 min

7 hours=60×7=420 min

number of blink=420×13=5460

4 0
3 years ago
4) Arnold ate breakfast at a restaurant. His total came to $76.75. There is an 8% sales tax and 15% tip. What is Arnold's total
lisov135 [29]

Answer:

The total cost is $95.32.

Step-by-step explanation:

Given:

Total came to $76.75. There is an 8% sales tax and 15% tip.

Now, to find the total cost.

<em>8% sales tax is there so we calculate the amount after adding sales tax:</em>

$76.75 + 8% of $76.75

76.75+\frac{8}{100}\times 76.75

76.75+0.08\times 76.75

76.75+6.14

82.89

The cost after sales tax is $82.89.

Now, <em>the cost after 15% tip:</em>

$82.89 + 15% of $82.89

82.89+\frac{15}{100}\times 82.89

82.89+0.15\times 82.89

82.89+12.43

95.32

The cost after the tip is $95.32.

Therefore, the total cost is $95.32.

8 0
3 years ago
Ma<br>Find the co-ordinate the image of a <br>point 6,4). Rotate it than<br>270<br>de acee​
telo118 [61]

Answer:

(4, - 6 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 270°

a point (x, y ) → (y, - x ) , thus

(6, 4 ) → (4, - 6 )

6 0
3 years ago
How do you do: -6(6a-5)=-2(8-5a)
devlian [24]

Answer:

a = 1

Step-by-step explanation:

1. distribute the -6 on the left into the parentheses. you should get -36a + 30.

2. on the side right of the =, distribute the -2 to get -16 + 10a.

now it should look like -36a + 30 = -16 + 10a.

3. move the terms over to isolate the a value. subtract 30 to the right side to get -46 (-36a=-46+10a)

4. move the 10a on the right to the left by subtracting it to the other side.

(-46a=-46)

5.divide by -46 to get a=1

7 0
3 years ago
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