MP Reason Inductively A student said you
can add the same number to both terms of
a ratio to find an equivalent ratio. Is the
student correct? Explain why or why not.
The student said you.can add the same number to both terms of a ratio to find an equivalent ratio. This is wrong.
How to explain the ratio?It should be noted that equivalent ratios are the ratios that are the same.
In this case, the student said you.can add the same number to both terms of a ratio to find an equivalent ratio. It should be noted that this is incorrect.
The proper thing is to multiply.
For example, 3/4 will be 3 × 2 / 4 × 2 = 6/8. This is the equivalent fraction.
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Answer:
yeah
Step-by-step explanation:
yup
Ms. Jordan bought a box of 32 granola bars. Every day each of her three children ate one granola bar for lunch. Now there are only 11 bars left. Which equation can be used to find the number of days, n, that the children ate the bars for lunch? 32 =-11 32 = 3n - 11 ○ 32 = 3 +11 32 = 3n+ 11
The equation that can be used to find the number of days is 32 - 3n = 11
How to determine the equation that can be used to find the number of days?The given parameters are
Initial amount = 32
Rate = 3 i.e. 3 children
Amount left = 11
Let the number of days be n
So, we have:
Initial amount - number of days * rate = amount left
This gives
32 - 3n = 11
Hence, the equation that can be used to find the number of days is 32 - 3n = 11
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Each 3 sisters intends to pay an equal share of the cost of a christmas gift for their mother. the total cost of the gift including tax is $25.50 how much should each sister pay?
Answer:
$8.50
Step-by-step explanation:
This is a division problem.
You need to divide $25.50 by 3.
25.5/3 = 8.5
Answer: Each sister pays $8.50.
Answer:
$8.50
Step-by-step explanation:
Since the gift is $25.50, including tax, and there are three sisters, divide the cost of the gift ($25.50) by the number of sisters (3) to find how much each one of them has to pay.
25.50 ÷ 3
= $8.50
Each sister should pay $8.50.
Have a lovely rest of your day! :)
A geometric sequence has these properties.
What is the 7th term of this sequence?
What number will make this expression a perfect square trinomial? show your work. x² 8x __
The number must be added in the expression, x² - 8x, to make a perfect square trinomial is 16.
What is perfect square trinomial?Perfect square trinomials are algebraic representations that have three terms and are formed by multiplying a binomial by another binomial. A perfect square is a number formed by multiplying another number by itself.
The form is ax² + bx + c.
Where, a, b, and c are real numbers & a ≠ 0.
Now, as per the question; the expression is given as;
x² - 8x
The perfect square trinomial written in standard form as;
(x - a) = x² - 2ax + a²
In the given equation, enter c as the value to be added.
x² - 8x + c
By comparing it to the standard form
-8x = - 2ax ----->(1)
c = a2----->(2)
When we solve these equations for a and c, we get
-8x = - 2ax
a = -8/-2
a = 4
c = (4)² = 16
Thus,
(x - 4)² = x² - 8x + 16
As a result, the value that must be added is 16.
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The correct question is -
What number must be added in the expression, x² - 8x, to make a perfect square trinomial?
Rewrite the equation below so that it does not have fractions.
2/3x+4=2/5
do not use decimals in your answer.
The rewritten form of the equation as given in the task content such that it has no fraction is; 10x + 60 = 6.
In order words, when the equation " 2/3x+4=2/5" is rewritten such that it does not have fractions, it is rewritten as 10x + 60 = 6.
What is the rewritten form of the equation such that it has no fractions?It follows from the task content that the equation given be rewritten such that it has no fraction.
Given:
(2/3)x + 4 = 2/5
Hence, we multiply all terms in the equation by the lowest common multiple of 3 and 5.
Multiply both sides by 15 so that we have;
10x + 60 = 6.
Ultimately, the rewritten form is as indicated above.
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Can someone help me with this problem? Thank you!
Three friends ate at a restaurant. They ordered nachos for $18.85 and jalapeno poppers. Each friend paid $9.98, not including sales tax or tip, which was one third of the total. Determine the cost of the jalapeno poppers.
$22.18
$6.28
$29.94
$11.09
If three friends ate at a restaurant. They ordered nachos for $18.85 and jalapeno poppers. Each friend paid $9.98, not including sales tax or tip, which was one third of the total. The cost of the jalapeno poppers is: $11.09.
CostFirst step is to calculate the amount that the three friend paid
Amount=$9.98×3
Amount=$29.94
Now let calculate the cost of the jalapeno poppers
Cost=$29.94-$18.85
Cost=$11.09
Therefore If three friends ate at a restaurant. They ordered nachos for $18.85 and jalapeno poppers. Each friend paid $9.98, not including sales tax or tip, which was one third of the total. The cost of the jalapeno poppers is: $11.09.
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Evaluate the function.
f(x) = -4x² + 7x
Find f(5)
Answer:
-65
Step-by-step explanation:
Given ~
[tex] \tt \: f(x) = - 4 {x}^{2} + 7x[/tex]
[tex] \: [/tex]
put x=5 in given function ~
[tex] \: [/tex]
[tex] \tt \: f(5) = - 4(5) ^{2} + 7(5)[/tex]
[tex] \: [/tex]
[tex] \tt \: f(5) = - 4(25) + 7(5)[/tex]
[tex] \: [/tex]
[tex] \tt \: f(5) = -100 + 35 [/tex]
[tex] \: [/tex]
[tex] \underline{\boxed{\red{ \tt f(5) = - 65}}}{\green✓}[/tex]
[tex] \: [/tex]
hope helps ~
The stadium is to be renovated with a new seating capacity of 20790 seats.after the renovation what will be the percentage increase in the number of seats
Although part of your question is missing, you might be referring to this full question: The stadium has 15400 seats and it is to be renovated with a new seating capacity of 20790 seats. After renovation what will be the percentage increase in the number of seats?
The initial capacity of the stadium = 15400 seats
Planned new capacity = 20790 seats
Increment in the number of seats = 20790 - 15400 = 5390 seats
Percentage increase in the number of seats = (Increment in seats/Initial capacity of the stadium)*100
Therefore,
(5390/15400)*100 = 0.35*100 = 35%
So the percentage increase in the number of seats after renovation will be 35%
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I don’t know what that symbol is used for
Answer:
Perpendicular lines.
13. jewelry marena is using a certain number of blue beads in a bracelet
design. she will use 7 more red beads than blue beads. write an expression
in simplest form that represents the total number of beads in her bracelet
design.
The simplest expression that represents the total number of beads in her bracelet design is 2b + 7.
Expression:
An expression is the sentence with a minimum of two numbers or variables and at least one math operation.
This math operation can be addition, subtraction, multiplication, or division.
The structure of an expression is:
Expression = (Number/variable, Math Operator, Number/variable)
Given,
Jewelry Marena is using a certain number of blue beads in a bracelet
design. she will use 7 more red beads than blue beads.
Here we need to write an expression in simplest form that represents the total number of beads in her bracelet design.
Assign a variable for the unknown value.
Let b be the number of blue beads for the bracelet.
The number of red beads will be represented as b + 7.
Determine the expression for the total number of beads.
Then we can written it as,
=> b + (b +7)
=> 2b + 7.
Therefore, the total number of beads can be written as 2b + 7.
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1. Use the diagram to the right to name the following
a Four collinear points.
b) A line that contains point M.
c) A line that contains points H and K.
d) Another name for line q.
e) The intersection of lines p and
H I, N, K
MO
NO
J,I, L, K
M OM
M, O, H, N
line
une
KL
*Put in number form*
1- Two times the sum of four and eight
2- Seven less than eight
3-The product of x squared and thirteen
(1) The numerical expression is 24
(2) The numerical expression is 1
(3) The numerical expression is 13x²
A numerical expression includes two words, ‘Numerical’, which suggests related to numbers, and ‘Expression’, that indicates the operations on the numbers. throughout this text NumericalExpressions unit among the foremost basic but most important mathematical ideas.The term numerical refers to 1 factor that involves numbers. we tend to all grasp that expression is nothing but merely a phrase. Thus, numerical expression may well be a phrase involving numbers. In arithmetic, a numerical expression may well be a group of numbers that ar written on by utilizing arithmetic operators addition, subtraction, multiplication, and division(1) 2 ( 4 + 8) = 2 × 12
= 24
(2) 8 - 7 = 1
(3) 13x²
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IF YOU JUST SIMPLY ANSWER!!!! 100 points!!!!
Answer:
hi loll
Step-by-step explanation:
3, 6)
5. Mr. Tran purchased a phone card
with 300 minutes on it. If he uses
the card to make 2 hours of calls,
how many minutes remain on his
phone card?
Answer: 180 minutes
Step-by-step explanation:
300/60
5-2=3
3x60=180
This spinner has 6 equal sections. What are the odds in simplest form against spinning blue or yellow?
(A) 1:2
(B) 2:3
(C) 3:2
(D) 2:3
Answer:
B)2:3
Step-by-step explanation:
the spinner has all the rainbow colors and thus two colors(blue and yellow) are 2 out of 6 possibilities. the odds against these is 4 out of six (2:3)
Evaluate the indefinite integral. (use c for the constant of integration.) x5 1 x12 dx
The evaluation of the given indefinite integral is (1/8)Tan⁻¹(x⁸) + C.
What is indefinite integral?A function that performs the antiderivative of another function is known as an indefinite integral. It can be represented visually as an integral symbol, a function, and finally a dx. A differentiable function F whose derivative is equal to the original function f is referred to as an antiderivative, inverse derivative, primitive function, primitive integral, or indefinite integral of a function f in calculus.So,
∫[x⁷ / (1 + x¹⁶)]dx = ∫[x⁷ / (1 + (x⁸)²]dxNow, u = x⁸. Then, du = 8x⁷dx. So, x⁷dx = (1/8)du.So, we obtain: (1/8)∫[du / (1 + u²)] = (1/8)Tan⁻¹u + C = (1/8)Tan⁻¹(x⁸) + CTherefore, the evaluation of the given indefinite integral is (1/8)Tan⁻¹(x⁸)+C.
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The correct question is given below:
Evaluate the indefinite integral. (use c for the constant of integration.)
x⁷/1+x¹⁶ dx
i’m confused please help
distance between points -2,2 and 6,-4
Between the locations S(4,-3) and T(-2,2), there are 7.81 units between them.
The length of the line segment connecting two locations serves as a measure of the distance between them. Most importantly, the distance between two points is always positive and segments with the same length are known as congruent segments.
P(x1, y1) and Q(x2, y2) are two points, and the formula for their distance is provided by: d (P, Q) = (x2 - x1)2 + (y2 - y1) 2.
The points S(4,-3) and T are given.
Therefore, the distance (d) between S(4,-3) and T(-2,2) is as follows:
⇒ d (S, T) = √
² + (2 - (-3)) ².
⇒ d (S, T) = √ (-6)² + (5) ².
⇒ d (S, T) = √ 36+25
⇒ d (S, T) = √61
D (S, T) equals 7.81 units
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For which function is f(5) = 2?
Answer: f = 2/5 (0.4)
Step-by-step explanation:
1. Re-order terms so constants are on the left
f x 5 = 2 OR f(5)=2
2. Divide both sides by the same factor
f(5)=2 --> 5f/5 = 2/5
Rodolfo le da una vuelta a la manzana en 4 minutos; Ricardo, en 5 minutos y Rena to, en 6 minutos. ¿En cuánto tiempo existirán si empiezan a hacer el recorrido desde el mismo punto?
Rodolfo, Rena y Ricardo se encuentran después de 6 minutos en la salida si todos comienzan su viaje desde el mismo punto.
Rodolfo tarda unos 4 minutos en dar la vuelta a la manzana.
Ricardo tarda 5 minutos en dar la vuelta a la manzana.
Rena tarda 6 minutos en dar la vuelta a la manzana.
Digamos que los tres comienzan el viaje desde el mismo punto A.
Rena tarda 6 minutos, Ricardo tarda un minuto menos que Rena y Rodolfo tarda 2 minutos menos que Rena.
Por lo tanto,
Rena es la que más tarda en dar la vuelta a la manzana y será la última en salir.
Por lo tanto, Rodolfo, Ricardo y Rena se encontrarán después de 6 minutos en la salida.
Todas se reúnen después de 6 minutos en la salida.
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what are the answers to theseeeeee ahhhhhhh, this is timed, i need answers !
Answer:
Step-by-step explanation:
False, the left side is not equal to the right side
Answer:
-15+13i
Step-by-step explanation:
Distribute the negative to get (-10+6i)
Combine both parenthesis and the answer is -5-10=-15 and 7i+6i=13i
Final answer is -15+13i
an example of a unti price youd find in germany-
pls help gsoehehsjbsgshsjbsfeoanevshksnevehwknsbdgsknwbsgdindvegshsn
Answer:
a) 5.9
b) 4.2
Step-by-step explanation:
Plot the data points on the number line (see attached).
Part (a)
[tex]\begin{aligned}\textsf{Distance between Ben and Kloee} & = \sf \left| Ben - Kloee \right|\\& = \sf \left|-2.65-3\frac{1}{4}\right|\\& = \sf \left|-2.65-3.25\right|\\& = \sf \left|-5.9\right|\\& = \sf 5.9\end{aligned}[/tex]
Part (b)
[tex]\begin{aligned}\textsf{Distance between Middle school and Football field} & = \sf \left| Middle\:school-Football\:field\right|\\& = \sf \left| 1.5-5.7\right|\\& = \sf \left| -4.2 \right|\\& = \sf 4.2\end{aligned}[/tex]
machine a, working alone at its constant rate, produces x pounds of peanut butter in 12 minutes. machine b, working alone at its constant rate, produces x pounds of peanut butter in 18 minutes. how many minutes will it take machines a and b, working simultaneously at their respective constant rates, to produce x pounds of peanut butter?
It will take 7.2 minutes for machines a and b, working simultaneously at their respective constant rates, to produce x pounds of peanut butter.
Rule #1: If a person can finish an entire job in k hours, then the person can complete 1/k of the job in one hour.
For example, if it takes Sue 5 hours to accomplish a task, she can complete 1/5 of the task in one hour. In other words, her hourly rate is one-fifth of the job's.Rule #2: If a person finishes a/b of a job in one hour, it will take b/a hours to finish the entire job.
For example, if Sam can finish 1/8 of the job in one hour, it will take him 8/1 hours to finish the job.Similarly, if Joe can finish 2/3 of the job in one hour, it will take him 3/2 hours to finish the job.Machine A finishes the job in 12 minutes.
Using Rule #1, machine A wraps up one-twelfth of the job in 1 minute.Machine B finishes the job in 18 minutes.
So, according to Rule #1, machine B finishes 1/18 of the job in 1 minute.When their efforts are combined, they can fulfill (1/12 + 1/18) of the job in 1 minute.
1/12 + 1/18 = 3/36 + 2/26 = 5/36So, when the machines work together, they can complete 5/36 of the job in 1 minute.Using Rule #2, the time required to complete the entire job = 36/5 minutes.
Therefore, 36/5 minutes or 7.2 minutes is the correct answer.
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A rectangular piece of metal is 15 in longer than it is wide. squares with sides 3 in long are cut from the four
corners and the flaps are folded upward to form an open box. if the volume of the box is 1782 in2, what were the
original dimensions of the piece of metal?
The original dimensions of the piece of metal are 39 inch by 24 inches.
Let the breadth of the rectangular piece be b inches.
Hence, according to the data given in the question,
Length of the rectangular piece will be (b + 15) inches.
After 4 squares of 3 inches each are cut from the corners of the rectangular piece, the length and breadth of the piece becomes:-
Length = b + 15 - 3 - 3 = (b + 9) inches
Breadth = b -3 -3 = (b - 6) inches
The height of the subsequent open box made will be 3 inches.
We have,
Volume of the cuboidal open box = 1782 cubic inches.
Also, we know that,
Volume of cuboid = l*b*h
Where,
l is the length,
b is the breadth, and
h is the height
Hence,
(b+9)(b-6)(3) = 1782 cubic inches
(b+9)(b-6) = 1782/3 = 594
We can write 594 as 33*18
Hence,
(b+9)(b-6) = 33*18
b+9 = 33 or b-6 = 18
b = 33-9 = 18+6 = 24
Hence, the original dimensions are :-
b + 15 = 24 + 15 = 39 inches, and
b = 24 inches
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Given j(-8,-5) and l(6,-11) if k(r-4,2s) is the midpoint of jl which correctly gives the values of r and s?
The values of r and s is -1 and -4 respectively.
Given that:-
coordinates of j are (-8,-5)
coordinates of l are (6,-11)
coordinates of k are (r-4,2s)
Also, k is the mid-point of jl.
We have to find the values of r and s.
We know that, for (x,y) and (z,w), the mid-point is ((x+z)/2, (y+w)/2).
Here,
(x,y) = (-8.-5)
(z,w) = (6,-11)
(r-4,2s) = ((x+z)/2,(y+w)/2)
Hence,
(r-4,2s) = ((-8+6)/2,(-5-11)/2)
(r-4,2s) = (-1,-8)
Comparing the coordinates, we get:-
r - 4 = -1
r = -1+4 =3
2s = -8
s =-8/2 = -4
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(6/7x-2/3)+3/5+(5/8x-6/7) with full steps
Answer:
Step-by-step explanation:
See the file below. You can see the step-by-step answer and it will improve your score and it will understand how to solve this problem
It can reasonably be inferred from the passage that the main reason that the narrator considers great expectations to be the best gift he ever received is because?
Infer means to guess or reach a conclusion, especially based on an indirect hint.
What exactly does inferred mean?The passage suggests that the main reason the narrator considers Great Expectations to be the best gift he ever received is that reading the book convinced him that he wanted to be a writer.
Infer means to draw a judgement based on evidence; if there is little proof, the term is close to conjecture. To come to a decision or conclusion based on knowledge or an assumption; to arrive at a conclusion through reasoning. To infer is to draw a conclusion based on facts or presumptions. Assuming that a child stole the dish of cookies because he was the only one in the room when they vanished is an example of inferring.To learn more about inferred, refer to:
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