1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
I DONT GET THIS: What is the Domain and Range of the function in context?
Anettt [7]

Answer:

c

Step-by-step explanation:

the domain is every possible input value and the range is every possible output value. since the outputs are all positive, the range is equal to all real numbers. and since the graph starts at 1,000, the domain is greater than or equal to 1,000

6 0
2 years ago
If in triangle ABC, a=5, b=6 and c=8, then cos A is...
s2008m [1.1K]

In a triangle, the nomenclature is that a variable side a is opposite of the angle A. we can use the cosine law to determine the value of cosine A. 
a2 = b2 + c2 -2bc cos a25 = 36 + 64 - 2*6*8 * cos acos a = 25/32 
5 0
3 years ago
If this net were to be folded into a
galina1969 [7]

Answer:

5

Step-by-step explanation:

The squares with 2, 6, 4, 3 will be all the left, front, right, back sides. The 1 and 5 will flap up/down to be the top and bottom. So 1 and 5 will be opposite from each other.

7 0
11 months ago
Please help me ! Reduced to lowest terms
Mandarinka [93]

Answer:

Step-by-step explanation:

7) 2ab + 4ac = 2*a*b + 2 *2 *a*c

                     = 2a(b + 2c)

\dfrac{2ab^{2}c}{2ab+4ac}=\dfrac{2*a* b^{2}*c}{2a(b+2c)}\\\\\\\text{2a in the denominator and numerator get cancelled}\\\\ = \dfrac{b^{2}c}{b+2c}

8) ac - a²c² = c( a - a²c)

bc - abc     = c(b - ab)

\dfrac{ac - a^{2}c^{2}}{bc-abc^{2}}=\dfrac{c(a-a^{2}c)}{c(b-ab)}\\\\

               =\dfrac{a-a^{2}c}{b-abc}

9) b²+ 4b - 5 = b² + 5b - 1b - 5

                    = b(b + 5) - 1(b + 5)

                    = (b +5)(b - 1)

b² + 8b  + 15 = b² + 5b + 3b + 15

                    = b(b + 5) + 3(b + 5)

                    = (b + 5 )(b + 3)

\dfrac{b^{2}+4b-5}{b^{2}+8b+15}=\dfrac{(b+5)(b-1)}{(b+5)(b+3)}\\\\\\

                     =\dfrac{b-1}{b+3}

8 0
2 years ago
Expertsss/aceee plzzz helpppp quickkklyyyy (81% complete a couple more to go)
Mnenie [13.5K]
I believe the answer is the first one
6 0
3 years ago
Other questions:
  • Find the percent of increase 28 minutes to 35 minutes??? HELPPPP
    13·1 answer
  • In his free time, Gary spends 14 hours per week on the Internet and 12 hours per week playing video games. If Gary has five hour
    14·1 answer
  • How do you estimate products
    15·2 answers
  • Find the circumference of a circular field with a diameter of 16 yards.<br> (Let it = 3.14)
    14·1 answer
  • Keith is a salesperson.he sold a beach umbrella for 98$ and earned 10% commissions. How much commission did Keith get
    8·2 answers
  • Abby can buy an 8 pound bag of dog food for $7.40 or a 4 pound bag of the same dog food for $5.38 which is the better buy
    15·2 answers
  • If p(x) = x2 - 1 and q(x) = 5(x-1), which expression is equivalent to (p-q)(x)?
    10·1 answer
  • Let f(x) =3x-3 and g(x) = 21<br>evaluate<br>(-25)(-1)​
    9·1 answer
  • Will the boys ever have the same amount of money at the same time
    13·1 answer
  • WILL GIVE BRAINLIEST GIVE EXPLANATION
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!