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
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It is given that
A = {1, 2, 3, 4, 7} and B = {2, 4, 8, 10).
(i) List all the elements in A∩B in set notation.
(ii) Draw a Venn diagram to represent the sets A and B.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Given :
A = {1, 2, 3, 4, 7}
B = {2, 4, 8, 10)
A∩B = {2 , 4 }
See the venn diagram in attachment ~
Write the decimal as a fraction or mixed number in simplest form.
-2.36 repeating
Answer:
37/2
Step-by-step explanation:
since its a repeating 36 would become a 37 and the 2 would become the denominator
Х у
2 3
5 9
What is the slope of the function?
solve each inequality -43 >-8 +7x
Answer:
28 / 4 = -7.28 / 4 = -7.
Step-by-step explanation:
Your answer would be x < -5
19/24 nearest hundred
Answer:
0.79
Step-by-step explanation:
Answer:
if speaking in decimal terms, your answer would be 0.79/ 0.7916/ 0.79167
Step-by-step explanation:
Month
Pay
1
100
2
150
3
200
4
250
b. Write an equation to define the sequence recursively
Answer:Secondary sources are works that analyze, assess or interpret an historical event, era, or phenomenon, generally utilizing primary sources to do so. Secondary sources often offer a review or a critique. Secondary sources can include books, journal articles, speeches, reviews, research reports, and more.
Step-by-step explanation:
18m + (-13m) = 25 m=
Answer:
m=0
Step-by-step explanation:
i think?
Which statement is correct?(2.06 times 10 Superscript negative 2 Baseline) (1.88 times 10 Superscript negative 1 Baseline) less-than StartFraction 7.69 times 10 Superscript negative 2 Baseline Over 2.3 times 10 Superscript negative 5 Baseline EndFraction(2.06 times 10 Superscript negative 2 Baseline) (1.88 times 10 Superscript negative 1 Baseline) greater-than-or-equal-to StartFraction 7.69 times 10 Superscript negative 2 Baseline Over 2.3 times 10 Superscript negative 5 Baseline EndFraction(2.06 times 10 Superscript negative 2 Baseline) (1.88 times 10 Superscript negative 1 Baseline) greater-than StartFraction 7.69 times 10 Superscript negative 2 Baseline Over 2.3 times 10 Superscript negative 5 Baseline EndFraction(2.06 times 10 Superscript negative 2 Baseline) (1.88 times 10 Superscript negative 1 Baseline) = StartFraction 7.69 times 10 Superscript negative 2 Baseline Over 2.3 times 10 Superscript negative 5 Baseline EndFraction
Answer:
A
Step-by-step explanation:
Just did it
Answer:
A
Step-by-step explanation:
I took the test on edge
If f(x) is the total cost, in dollars, of x cupcakes, which of the following statements best describes the meaning of f(5) = 12?
Answer:
See belowStep-by-step explanation:
This a form of the proportional relationship:
f(x) = kx, where f(x) - total cost, k- cost of each item, x - number of itemsWe have:
f(5) = 12It means:
Total cost of 5 cupcakes is $12In f(x)
f(x) is total costx is total cupcakesSo in f(5)
5 cupcakes cost $12If you take out a loan for $561.60 over eight years at an interest rate of 9.3%, what is the total amount you will have to repay?
The simple interest of a given sum is directly proportional to the rate of interest. The total amount for repayment is $979.43.
What is Simple interest ?The simple interest is a method of calculating the interest over a sum without considering the compounding.
The simple interest over a period of time varies as arithmetic progression.
Given that,
The amount of loan P = $561.60
Time for the interest T = 8 years.
Rate of interest R = 9.3%.
The total amount A can be given by summing the amount of loan to the interest over it as,
A = P + S.I
And the simple interest is given as,
S.I = (P × R × T) / 100
= (561.60 × 9.3 × 8) / 100
= 417.83.
The amount is given as,
A = 561.60 + 417.83
= 979.43.
Hence, the total amount to be repaid is $979.43.
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What is the equation in slope-intercept form of a line that has a slope of -- and a y-intercept of 6?
+**= 6
Ο Α.
y +
o
В.
y + 6 =
--
X
о
C
y +6 = x
O D. y = - 1 / 2 x + 6
Answer:
a
Step-by-step explanation:
I fits the graph that is described
Find the equation of the line that passes through (1,-2) and is parallel to y = 3x + 4.
Leave your answer in the form y = mx + c
Answer: y=3x-5
Step-by-step explanation: Find the slope of the original line. slope is m=3. Then use the point slope formula [tex]y-y1=m(x-x1)[/tex] to find the line parallel to y=3x+4. Parallel lines have the same slope. so you substitute the given point (x1,y1)(1,-2) and slope m=3 into the point slope formula.
y-(-2)=3(x-1)
y+2=3x-3
y=3x-5
5250 marked down 15%
Answer:
4462.5
need 20 characters
Answer:4462.5
Step-by-step explanation:multiply 5250 by 15% (or 0.15), then subtract that # to get the answer.
5250 x 15% = 787.5
5250-787.5= 4462.5
-7(1 - 5 p) = -35 + 7 p
Answer:
-7(1 - 5 p) = -35 + 7 p
p = -5/3 = -1.6666.... = -1 2/3
Step-by-step explanation:
Please help me I will mark brainliest
Solve for X
2 + 3.0-9=1-1+22
1
Answer:
x = 2
Step-by-step explanation:
Can anybody please help me with Rates PLEASE
Answer:
6 miles
Step-by-step explanation:
What is the triangular number of 27
Answer:
378
Step-by-step explanation:
nth triangular number: n(n+1) / 2
27th triangular number: 27(27+1) / 2 = 27*28 / 2 = 378
necesito resolver: 5+2(2x)^-1/2
Answer:
5+(2/x)^1/2 This is the correct answer!!
Step-by-step explanation:
help pls
what is the slope intercept form of (1,6) and (-2,6)
Answer: y = 6
Step-by-step explanation:
This is still in slope intercept form but the only difference is that x equals 0.
If this confuses you, you can write
y = 0x+6 which would still be correct however, your teacher might prefer
y = 6 more.
what is 34/9 in simplest form?
3 7/9
Step-by-step explanation:
34/9
= 34 ÷ 9 = 3 remain 7
= 34 = 9 × 3 + 7
so
34/9
= 3 7/9
Answer:
34/9 is already in it's simplest form but can be written as a decimal: 3.777778
Step-by-step explanation:
1. Find the HCF of both numbers which is 1
2. Divide them both by the HCF
3. 34/1 = 34
4. 9/1 = 9
5. Therefore there is no simpler fraction but you can write it as a decimal.
Given m∠14+m∠3=180° .
Which lines are parallel, if any must be parallel, based on the given information?
a∥b by the converse of the same-side interior angles theorem.
a∥b by the converse of the alternate interior angles theorem.
c∥d by the converse of the corresponding angles theorem.
Not enough information to make a conclusion.
Answer:
C) - a∥b by the converse of the corresponding angles theorem
explanation:
k12 test 100
Answer:
c
Step-by-step explanation:
1 1/2 divided by 1/4
Answer:
6
Step-by-step explanation:
1 1 /2 ÷ 1/ 4
= 3/2 ÷ 1/4
= 6
15 x 15 x 15 x 15 = 15E The raised letter E stands for an exponent
Answer:
15e4
Step-by-step explanation:
I can not raise the exponent but there is 4, 15 being multiplied together and all you do is add how many of the same numbers are being multiplied together.
Please help me I really need your help ASAP
in order to find the answer to your questions you need to find the value
Example:
y+10=18
y=8
A cargo ship is 704 feet long. If 1.1 inch represents 13 feet. How long is the ship in the model? Round your answer to the nearest tenth if needed.
Answer:
59.57
Step-by-step explanation:
704 / 13
= 54.1538461538
54.1538461538 x 1.1
= 59.5692307692
I need help solving number 4 the hint they gave me is v=-2 I'm clueless
Find the value of the x.
Step-by-step explanation:
By angle sum property
7x-41+5x-12+2x+9 = 180
14x -44 =180
14x =224
x= 224/14
x= 16°
Answer:
thanks for this question as I also wanted it
Step-by-step explanation:
may I know in which grade are you
There are 16 students sitting on the bleachers and 21 students sitting on the floor. What is
the ratio of the number of students sitting on the floor to the total number of students?
Answer:16:21
Step-by-step explanation:
The sum of ages of 3 siblings, Alice, Bruce and Chuck is 27. The sum of ages of Alice and Bruce is 14 and the sum of ages of Bruce and Chuck is 22. Find each sibling's age by using system of linear equations.
Answer:
Alice = 5
Bruce = 9
Chuck = 13
Step-by-step explanation:
alice= x
Bruce = y
Chuck = z
x+y+z= 27
x+y= 14
therefore z= 27-14= 13
Chuck = 13
y+13 (z) = 22
therefore y = 22-13= 9
Bruce = 9
9+13= 22
therefore x= 27 - 22= 5
Alice = 5
confirmation
5 + 9 + 13 = 27
5+9= 14
9 + 13 = 22
Each sibling's age i..e Alice be 5 years, Bruce be 9 years, and Chuck be 3 years.
Given that,
The sum of ages of 3 siblings, Alice, Bruce, and Chuck is 27. The sum of ages of Alice and Bruce is 14 and the sum of ages of Bruce and Chuck is 22.Here we assume Alice be x, Bruce be y, and Chuck be z.Based on the above information, the calculation is as follows:
x + y + z = 27
x + y = 14
So,
z = 27 - 14
= 13
i.e. Chuck = 13
Now
y + 13 (z) = 22
So,
y = 22 - 13
= 9
i.e. Bruce = 9
Now
9+13= 22
So,
x = 27 - 22
= 5
i.e. Alice = 5
Therefore we can conclude that each sibling's age i..e Alice be 5 years, Bruce be 9 years, and Chuck be 3 years.
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tell whether the following sequence is geometric or not. If geometric find r
—
hi can someone please answer my question i really need the complete step-by-step solution. thank you.
Answer:
not geometric because of the 4 at the beginning
Answer:
NoStep-by-step explanation:
We can observe the difference of terms is constant:
d = 1/3The sequence is arithmetic, not geometric.