The machines represent equivalent expressions.
The output produced by both machines is 372
The equation represented on machine A is:
[tex]\mathbf{y = 2(5x + 3) - 24}[/tex]
The equation represented on machine B is:
[tex]\mathbf{y = 4(2(x + 11) - 7)}[/tex]
Where: x and y represent the inputs and the outputs, respectively
When the outputs are the same, it means:
[tex]\mathbf{y = y}[/tex]
So, we have:
[tex]\mathbf{2(5x + 3) - 24 = 4(2(x + 11) - 7)}[/tex]
Open brackets
[tex]\mathbf{10x + 6 - 24 = 8x + 88 - 28}[/tex]
[tex]\mathbf{10x - 18 = 8x + 60}[/tex]
Collect like terms
[tex]\mathbf{10x - 8x = 18 + 60}[/tex]
[tex]\mathbf{2x = 78 }[/tex]
Divide both sides by 2
[tex]\mathbf{x = 39 }[/tex]
Substitute 39 for x in [tex]\mathbf{y = 2(5x + 3) - 24}[/tex]
[tex]\mathbf{y = 2 \times (5 \times 39 + 3) - 24}[/tex]
[tex]\mathbf{y = 372}[/tex]
Hence, the output produced by both machines is 372
Read more about equivalent expressions at:
https://brainly.com/question/15715866
Question 20 of 40
Anna thinks of a number. She subtracts 5 from the number, multiplies the
result by 2, and then adds 6. The number she ends up with is 14. What
number did Anna start with?
If you work backward to solve this problem, what do you do first?
A. Divide 14 by 2
OB. Add 5 to 14
C. Subtract 5 from 14
D. Subtract 6 from 14
What’s the first steps when doing it backwards ?
Answer:
2(x-5)+6=14 is your starting equation, and then we solve:
2(x-5)+6=14
2(x-5)/2 +6=14/2
x-5+6=7
the first step is to divide by 2, so A :)))
Which of the following shapes is not a parallelogram? Trapezoid Square Rectangle
Answer: Trapezoid
Step-by-step explanation: A parallelogram is a shape that has two pairs of parallel sides, two pairs of equal opposite angles, two pairs of equal and parallel sides. Hope this helps!! :))
Answer:it's trapezoid i got a 100%
Step-by-step explanation:
by+ax+c = 0 solve for x
Answer:
by + ax + c = 0
-c -c
by + ax = d
by/b d/b
ax/a = e/a
f = x
Step-by-step explanation:
There were no numbers so I substituted them for letters :)
multiple 6 to become 9
whoever solves correctly gets brainliest The number of miles will be x. Next, we’ll have the inequality 8x+2<=10 then we will solve the inequality 8x+2-2<=10-2 and simplify 8x<=8. divide 8 both sides x<=1
4. Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.
Answer:
Step-by-step explanation:
I need help fast please!
Answer:
y=x+9
Step-by-step explanation:
100 POINTS & BRAINLIEST!!
Answer:
The answer is A
Step-by-step explanation:
Answer:
option A is the right answer correct me if im wrong
For each set of three measures, determine if they can be angle measures of a triangle.
Answer:
NO
NO
YES
NO
Step-by-step explanation:
The sum of the angles has to be equal to 180° because the sum of the angles in a triangle is 180°
The first one is already more that 180°, because you are adding 2 angles that are more than 100°
The sum of the second one is equivalent is 160°
The sum of the third one is equivalent to 180°
The sum of the fourth one is more than 180°
-Chetan K
The teacher-student ratio at Dunn Middle School is 1 to 23. If there are 966 students, how many
teachers are there?
Answer:
42 teachers
Explanation:
Teacher to student ratio is 1:23
If there are 966 students, then divide by 23 to get how many teachers their are.
966/23=42
Nadia bought 4.3 pounds of ham on Tuesday and 1.7 pounds of ham on Wednesday. She spent a total of $41.94. What was the price of the ham per pound?
$5.74
Answer:
$6.99
Step-by-step explanation:
add the number of pounds to gwet the total number of pounds
4.3+1.7=6
divide
41.94/6
$6.99 per pound
Hope this helps!
solve for x
2x + 8 < 5x− 4
Answer:
x > 4
Step-by-step explanation:
hope this helps
Choose the correct description of each system of equations.
3x + y = 3
x - 2y = 4
Since we have a unique value of x and y, it shows that the system of the equation is consistent and independent.
Given the system of equation expressed as:
3x + y = 3
x - 2y = 4
Solve simultaneosly;
3x + y = 3 ............. 1 * 1
x - 2y = 4 ...............2 * 3
_________________________
3x + y = 3
3x - 6y = 12
Subtract
y-(6y) = 3 - 12
7y = -9
y = -9/7
Substitute y = -9/7 into the equation to get x
x - 2y = 4
x - 2(-9/7) = 4
x + 18/7 = 4
x = 4 - 18/7
x = 3/7
Since we have a unique value of x and y, it shows that the system of the equation is consistent and independent.
Learn more here: https://brainly.com/question/20052273
30 points reward just answer plsss
HELP ASAP!!! 100 POINTS!! BRAINLIEST TOO!
A 6 foot tall man makes a shadow that is 3 1/2 feet long. How tall is a building that makes a 14 7/8 foot shadow?
25.50
Hope this helped you- have a good day bro cya)
At a community center, you want to rope off an area that id adjacent to a building. The length of the building is 10 ft. You have 42 ft. Of rope. What are the possible widths of the roped off area.
Answer: 1 by 20, 2 by 19, 3 by 18, 4 by 17, 5 by 16, 6 by 15, 7 by 14, 8 by 13, 9 by 12, 10 by 11.
2. On the graph below you will find two different triangles, and three points identified along the line.
(a) Identify the coordinates of Point A, B, & C? Explain.
(b) Does each triangle have the same change in x-values? Explain.
(c) Does each triangle have the same change in y-values? Explain.
(d) Does each triangle have the same ratio of change in y-values over change in x-values? Explain.
#a
Co-ordinates are
A(0,0)B(3,3)C(9,6)#b
No,Both triangles are congruent not same.
#c
No! Both triangles are not same#d
Yes ratio is same as they are congruent
Answer:
Question A:
A.) (0,0)
B.) (3,3)
C.) (9,6)
Question B:
No, both triangles are congruent, not the same change in x-values.
Question C:
No, both triangles do not have are not the same change in y-values.
Question D:
Yes, their ratios of change are the same.
5x - 9 = 3x + 3 what is x
Answer:
x=6
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Then solve
x
=
6
Answer:
x = 6
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable and solve for x.
If each block sides are 1 cm long, what is the volume of this object?
4 cubic centimeters.
Brainliest would be great. Comment below if it helped!
Answer:
The volume for this object is 4.
Step-by-step explanation:
For each block, we need to multiply using the volume formula which is
Length x Width x Height
So, if the side lengths for all these blocks are 1. That means we would do 1x1x1 for every block. Since there are 4 blocks that means our equation for the whole object would be 1+1+1+1 or simply 1x4. And we all know the answer to our equation 1 x 4 is 4.
, Hope this helps :)
Have a great day!!
Will give brainliest!!! Describe the life of peasants in the middle ages. Make sure to include the labor they were put through and how the women were treated. 8-10 complete sentences pleaseeee.
explain in a different way I can't understand what your saying?
answer po plss plss plss
Answer:
additive identity property (a)
Step-by-step explanation:
Help me, please!! I have other math questions up if you guys could help with that too!
Find the value of x and y.
Answer:
x=25, y=19
Step-by-step explanation:
130+2x=180
x=25
54+2x+4y=180
y=19
Answer:
x = 25 , y = 19
Step-by-step explanation:
130° and 2x° are adjacent angles on a straight line and sum to 180° , so
130 + 2x = 180 ( subtract 130 from both sides )
2x = 50 ( divide both sides by 2 )
x = 25
--------------------------------------------------------------
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
130° is an exterior angle of the triangle , then
54 + 4y = 130 ( subtract 54 from both sides )
4y = 76 ( divide both sides by 4 )
y = 19
Josh was driving on a road that had a 30 mi/h speed limit posted. A deer jumped out from the side of the road, causing him to slam on the brakes. His tires left 71 ft skid marks. The road had a drag factor of 0.78. His brakes were operating at 95% efficiency. Should Josh get a ticket for speeding?
Answer no
Step-by-step explanation:
please mark brainlyest
Define the following terms and give an example of each. 1) Exponent 2) Base 3) Power 5) Expanded form 6) Standard form 4) Exponential form plzzzzzzz help me plzz
Answer:
Exponent - "a quantity representing the power to which a given number or expression is to be raised"
Base - "The number that gets multiplied when using exponents"
Power - "The number of times you use the number in multiplication"
Expanded Form - "A way to write a number by adding the value of its digits"
Standard form - "A way of writing down very large or very small numbers easily."
Exponential form - "a shortcut way of writing repeated multiplication involving base and exponents"
Help plz.. it’s due tonight
The sum of three times a number and seven is equal to the difference of the number and fifteen. Find the number. Round your answer to the nearest integer, if necessary.
Answer:
2
Step-by-step explanation:
3x + 7=15 -x
4x= 8
x= 2
3*2 + 7 = 15-2
Algebra 2 ............
The equation of the line through the point (-4, 7) and with a slope of -5/2 is y = -5/2x - 3
The equation of a line in slope intercept form is expressed as:
[tex]y-y_0 = m(x-x_0)[/tex]
m is the slope
(x0, y0) is the point on the line.
Given the following parameters:
m = -5/2 and (x0, y0) =(-4, 7)
Substitute the given coordinates into the formula above;
y - 7 = -5/2(x + 4)
2(y-7) = -5(x+4)
2y-14 = -5x - 20
2y = -5x - 20 + 14
2y = -5x - 6
y = -5/2x - 3
Hence the equation of the line through the point (-4, 7) and with a slope of -5/2 is y = -5/2x - 3
Learn more here: https://brainly.com/question/17003809
i hope i not fail this test someone help
Answer:
the answer to your question is pie
Answer:
A: is irrational number
B: is rational number
C: is irrational number
D: as a natural or whole number, including 9, can also be written as a fraction p1 they are all rational number. hence 9 is a rational number
so D is the the answer
In the equation 3x + 2x + 7 = 6x, what are the like terms?
Answer:
3x , 2x and 6x are like terms!!
Answer:
The like terms are 3x. 2x. 6x because they both have the x statement
Step-by-step explanation:
What is the x-intercept of the line with this equation 8x1/3y=16
8x - ¹/₃y = 16
8x - ¹/₃(0) = 16
8x - 0 = 16
8x = 16
8 8
x = 2
PLEASE HELP MEE!!!!!!!