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Setler [38]
2 years ago
5

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

Mathematics
1 answer:
kykrilka [37]2 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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Answer:

62

Step-by-step explanation:

2y-5 and 95 are vertical angles so they are equal

2y - 5 = 95

2y = 100

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x=12 and y=50 so

12 + 50 = 62

3 0
3 years ago
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A grocery store was having a sale. Darla had $15 in her wallet. She planned to purchase 2 gallons of fruit juice, 3 bags of chip
Ray Of Light [21]

Answer: Darla would have to pay $17.69 before tax

Step-by-step explanation:

Total amount in Darla's wallet = $15

She intends buying 2 gallons of fruit, 3 bags of chips and a box of cupcakes.

For the gallon of fruit

The first gallon of fruit cost $3.50

The second gallon of fruit has a discount of 50%. We have

(50/100) * 3.50

= $1.75

Therefore, the total amount for the two gallons of fruit =$3.50 + $1.75

= $5.25

Bag of chips

2 bags of chips cost $5 while 1 bag of chips cost $2.65

Since she intends to buy 3 bags of chips we have $5 + $2.65 = $7.65

1 box of cupcakes = $4.79

The total amount Darla is to pay for the groceries before tax equals

$5.25 + $7.65 + $4.79

= $17.69

This is more than the amount Darla has in her wallet

7 0
3 years ago
3. You want to leave a tip for a meal that
Rasek [7]

Answer:

17%

Step-by-step explanation:

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5 0
3 years ago
What is the trigonometric ratio for sin Z ?
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In all right triangles, the ratio between a leg and the hypothenuse is the sine of the angle opposite to the leg.

So, in your case, we have

\sin(Z) = \dfrac{XY}{XZ}

In order to find XY, we have

XY = \sqrt{XZ^2-YZ^2} = \sqrt{1600-1024}=\sqrt{576} = 24

So, the ratio for the sine is

\sin(Z) = \dfrac{XY}{XZ} = \dfrac{24}{40} = \dfrac{3}{5}

6 0
3 years ago
Let the probability of success on a Bernoulli trial be 0.26. a. In five Bernoulli trials, what is the probability that there wil
andreyandreev [35.5K]

Answer:

0.3898 = 38.98% probability that there will be 4 failures

Step-by-step explanation:

A sequence of Bernoulli trials forms the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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And p is the probability of X happening.

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P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{5,1}.(0.26)^{1}.(0.74)^{4} = 0.3898

0.3898 = 38.98% probability that there will be 4 failures

4 0
3 years ago
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