To match equivalent expression is the fractions with distinct numerators and denominators but the same value are said to be equivalent fractions.
In mathematics, equivalent fractions are those with the same denominator and differing numerators.
According to equivalent fractions, two or more fractions are considered to be equal if both provide the same fraction following simplification. Let's imagine that two fractions, a/b and c/d, were simplified to provide comparable fractions, e/f. In this case, the two fractions are equal to one another.
For instance, if we simplify 5/15, we get a fraction that is equal to 1/3, which is equal to 5/15.
We have to find how do we match equivalent expression.
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2. Claire is painting some windows that are all the same size. She used gallon of paint to paint 2 windows. How many gallons of paint are needed to paint 1 window?
Answer:3
Step-by-step explanation:
since 7 is a number and b is to u should just put 3 windows cause u need to add them all up i think, not sure but just do that, why not,
A rectangular garden measures 27 ft by 38 ft. Surrounding (and bordering) the garden is a path 3 ft wide. Find the area of this path. Be sure to include the correct unit in your answer.
The area of this rectangular walk is 390[tex]ft^{2}[/tex]
What is a rectangle?A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°.
The width of the walk is constant and is 2ft, length of the walk is determined by the part of the rectangular yard.
Area of walk = 3 x 27 +3x27 + 3 x 38 + 3 x 38 which is 390[tex]ft^{2}[/tex]
In conclusion the area of the walk is 390[tex]ft^{2}[/tex]
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Use the graph or table to find the equation that represents the relationship.
The linear equations that represent the relationships in the question order are;
y = 4·x - 1y = -x + 4[tex]y = \frac{1}{4} \cdot x -1[/tex][tex]y = -x + \frac{1}{4}[/tex]What is a linear equation?A linear equation is an equation of the form; y = m·x + c
The slope of the line is found as follows;
(-5 - (-21))/(-1 - (-5)) = 4
The equation is y - (-5) = 4·(x - (-1)) = 4·x + 4
y = 4·x + 4 - 5 = 4·x - 1
y = 4·x - 1The y-intercept is (0, 4), the x-intercept is (4, 0)
The slope is therefore; (0 - 4)/(4 - 0) = -1
The equation is therefore; y - 0 = -1 × (x - 4) = -x + 4
y = -x + 4The y-intercept is (0, -1), the x-intercept is (4, 0)
The slope is therefore; (0 - (-1))/(4 - 0) = 1/4
The equation is therefore; y - 0 = (1/4) × (x - 4) = x/4 - 4/4 =
y = x/4 - 1The slope of the line is; [tex]\dfrac{-3\frac{3}{4} - \left(-\frac{3}{4}\right) }{4-1} = -1[/tex]
y - (-3/4) = -1 × (x - 1) = -x + 1
y = -x + 1 - (3/4) = -x + 1/4
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In, a city had a population of 310,000 people. Each year since 2007, the population has grown by 4.8%.
Let t be the number of years since. Let y be the city's population.
Write an exponential function showing the relationship between t and y.
The exponential function showing the relationship between t and y is y = 310000(1.048)⁺
How to determine the exponential function?From the question, we have the following parameters that can be used in our computation:
Initial population = 310000
Rate of growth = 4.8%
These parameters can be represeted as
a = 310000 and r = 4.8%
An exponential function is represented as
y = a(1 + r)⁺
Substitute the known values in the above equation, so, we have the following representation
y = 310000 (1 + 4.8%)⁺
Evaluate
y = 310000(1.048)⁺
Hence, the function is y = 310000(1.048)⁺
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0.9 + 3.706 + 54.23 + .1637 =
Answer: i think its 58.9997
Step-by-step explanation:
Please help asap!!!!!!
What is the reciprocal of ¾?
Group of answer choices
3/1
1/3
3/4
4/3
Answer: 4/3
Step-by-step explanation:
The reciprocal of a/b is b/a.
what is the solution a b to this system of linear equations 3a6b45 2a 2b 12
Solution of the system of linear equation 3a + 6b = 45 , 2a -2b = -12 is equal to a = 1 and b =7.
As given in the question,
System of linear equation are:
3a + 6b = 45 __( 1 )
2a - 2b = -12 __(2 )
Solution of the linear equation by elimination method is given by:
Multiply ( 2 ) by 3 and add it to (1) we get,
3a + 6b = 45
6a - 6b = -36
9a = 9
⇒ a = 1
Substitute the value of a = 1 in (1) we get,
3( 1 ) + 6b = 45
⇒ 6b = 42
⇒ b = 7
Therefore, the solution of the system of linear equation is a = 1 and
b =7.
The complete question is :
What is the solution (a, b) to this system of linear equations?
3a+6b = 45 , 2a-2b = -12
a. (-27, 6)
b. (-1, 7)
c. (1, 7)
d. (27, -6)
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help!! i’ve been stuck on this problem!
Answer:
x less than or equal to -2
Step-by-step explanation:
I believe that's the answer
Answer:
x < -2
Step-by-step explanation:
You want the domain of a function graphed as a curve with an open circle at x=-2, which is the right end of the curve.
DomainThe domain is the horizontal extent of the graph. It is the set of values for which the relation is defined.
ApplicationThe open circle at (x, y) = (-2, 0) means that point is not part of the graph. All x-values to the left of that point have corresponding y-values, so the extent of the graph can be said to be ...
x < -2
The domain of the relation is x < -2.
What is a parent in a graph?
A parent graph is the graph of a relatively simple function. By transforming the function in various ways, the graph can be translated, reflected, or otherwise changed.
What is a Parent Function?
A parent function is an equation in the simplest form of a family of functions. A family of functions is a collection of functions that represent similar characteristics and/or transformations of its parent function. A parent function can be represented with different degree values such as degrees 1, 2, or 3.
The most basic parent function is called a constant function. A constant function is one such that y = b, where b is the constant value. A constant function creates a straight horizontal line that will intersect the y -axis.
Hence the answer is A parent graph is the graph of a relatively simple function. By transforming the function in various ways, the graph can be translated, reflected, or otherwise changed.
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What are the 4 steps to solve a Punnett square?
Answer step-by-step explanation:
Step 1: Write out the cross T = tall, t = short Tt x Tt.
Step 2: Draw 2 by 2 Punnett square.
Step 3: Write the alleles for parent 1 on.
the left side of the Punnett square.
Step 4: Write the alleles from parent 2.
above the Punnett square.
What is the standard form of ( 7 − 5 i ) ( 2 + 3 i ) ?M
The standard form of the complex numbers ( 7 − 5 i ) ( 2 + 3 i ) is
29 + 11iHow to expand the complex numbersComplex numbers are numbers that are represented of the form a + ib
a and b are real numbers. a is the real part and b is in the imaginary part
i = √-1
Opening up the parenthesis by multiplication
( 7 − 5 i ) ( 2 + 3 i )
= 14 +21i - 10i -15i^2
where i^2 = -1
= 14 +21i - 10i -15 * -1
= 14 +21i - 10i +15
= 29 + 11i
The equation is equal to 29 + 11i
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How do you isolate the variable by dividing each side by factors that don't contain the variable?
We isolate the variable in an equation by dividing both sides of the equation in which one side does not contain any variable.
According to the question,
We have the following information:
Isolating a variable by dividing each side of the equation in which one side does not contain any variable.
Now, in this case, it is clearly stated that the first step to isolate the variable from the equation is to perform division.
Now, this can be done as follows in the given equation:
2x = 14
Now, the variable x can be isolated by dividing both sides of the equation by 2:
x = 14/2
x = 7
Hence, we isolate the variable in an equation by dividing both sides of the equation in which one side does not contain any variable.
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What is the length of the radius of a circle given the equation x² y² 8?
The length of the radius of the given circle with the equation x² + y² = 8 is 2√2 units.
What is a circle?All points in a plane that are at a specific distance from a specific point, the center, form a circle.
In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.
In the center of a circle, equal chords subtend equal angles.
The chord is divided in half by the radius drawn perpendicular to it.
So, the length of the radius of the circle is:
The formula for the circle's general equation is: (x - h)² + (y - k)² = r²
Where, the center is (h, k) and the radius is represented by r.
The equation we have: x² + y² = 8
Then, r² = 8
Taking square root as follows:
r = √8
r = √2*2*2
r = 2√2
Therefore, the length of the radius of the given circle with the equation x² + y² = 8 is 2√2 units.
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Correct question:
What is the radius of the circle whose equation is x² + y² = 8?
Please help will mark Brainly
Answer: Horizontal Translation
Step-by-step explanation:
How can dilations and similarity be modeled in real-world examples?
Answer:
It is common to dilate photos to fit the space that you want it to fit. In police work and crime investigation. Detectives and police dilate photos to see smaller details and evidence. In architecture.
Step-by-step explanation:
What happens when the discriminant equals zero?
Answer: It indicates that the quadratic has a repeated real number solution.
Step-by-step explanation:
Find the mode of this data set
Answer:
5, 4, 7
Step-by-step explanation:
Let A and B be two events. Suppose that P (A) = 0.11 and P (B) = 0.06.
(a) Find P (A or B), given that A and B are mutually exclusive.
(b) Find P (A or B), given that A and B are independent.
Answer:
find p (A or ),given that A and B are independent
HELP I BEG
Which of the following is equivalent to 43x + 17y + 3x?
3x(43x + 17y)
43x + 20xy
43x + 3x + 17y
43x(17y + 3x)
Answer:
43x+3x+17y
Step-by-step explanation:
because 43x+17y+3x=43x+17y+3x
Barb has a jewelry box in the shape of a rectangular pyramid. The top opens at a cross section parallel to the base
What is the shape of the opening of the jewelry box?
A rhombus
B rectangle
C triangle
D trapezoid
Which expression is equivalent to 24³ ?
2√3
2³√3
2√6
2³√6
Answer:
[tex]2 \sqrt[3]{3} [/tex]
Step-by-step explanation:
[tex]24 {}^{ \frac{1}{3} } [/tex]
[tex] \sqrt[3]{24} [/tex]
[tex] \sqrt[3]{8 \times 3} [/tex]
[tex] \sqrt[3]{8} \times \sqrt[3]{3} [/tex]
[tex] \sqrt[3]{2 {}^{3} } \times \sqrt[3]{3} [/tex]
[tex]2 \times \sqrt[3]{3} [/tex]
[tex]2 \sqrt[3]{3} [/tex]
Find x:
X=________________
Assuming [tex]\overline{BC}[/tex] is a diameter, minor arc [tex]AB[/tex] has a measure of [tex]180^{\circ}-108^{\circ}=72^{\circ}[/tex].
Using the inscribed angle theorem, [tex]36=x+3 \implies x=\boxed{33}[/tex].
HURRY PLS!!
Kevin took $45 with him to spend on snack for himself and his friends at the movie theater. The price for each bucket of popcorn was $4. The price of each drink was half the price of a bucket of popcorn.
A. Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of buckets of popcorn and the other axis to represent the number of drinks.
Explain your graph.
B. Graph the absolute value function.
C. (a) Graph a linear function of your choice. On the same graph, graph a linear function transformed 2 units up and 3 units down.
(b) What was the equation of your linear function in slope-intercept form?
(c) What was the equation of the transformed function in slope-intercept form?
The equation of Kevin's scenario is 4x + 2y = 45
The absolute equation is y = 2|x - 3| + 5The equation of the linear function in slope-intercept form is y = 2x + 3The equation of the transformed function in slope-intercept form is y = 2x - 1How to determine Kevin's equationFrom the question, we have the following parameters
Amount = $45Bucket of popcorn = $4Bucket of each drink= Half the bucket of popcorn = $2Represent the buckets of popcorn with x and the number of drinks with y
So, we have the following equation
4x + 2y = total amount
This gives
4x + 2y = 45
See attachment for the graph
The graph of an absolute functionAn absolute function is represented as
y = a|x - h| + k
Where the vertex is (h, k)
So, we make use of the following function
y = 2|x - 3| + 5
See attachment 2 for the graph
The graph of a linear functionHere, we are to make use of any equation
A linear equation is represented as
y = mx + b
Where
slope = m
y-intercept = b
So, we make use of
m = 2 and b = 3
This gives
y = 2x + 3
When transformed 2 units up and 3 units down, the resulting equation is
y = 2x + 2 - 3
Evaluate
y = 2x - 1
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What are rational roots Class 10?
The rational root theorem, as its name suggests, is used to find the rational solutions of a polynomial equation (or zeros or roots of a polynomial function). The solutions derived at the end of any polynomial equation are known as roots or zeros of polynomials. A polynomial doesn't need to have rational zeros.
Rational root theorem, also called rational root test, in algebra, theorem that for a polynomial equation in one variable with integer coefficients to have a solution (root) that is a rational number, the leading coefficient (the coefficient of the highest power) must be divisible by the denominator of the fraction and the constant term (the one without a variable) must be divisible by the numerator.
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−8×(−10+(−7))
Evaluate the following expression.
Answer:
136
Step-by-step explanation:
solve the inside of the parentheses and you get -17, then multiply by -8
Find f(h(x)).
f(x) = x² + 4
h(x)=√x-3
Answer:
[tex]f(h(x)) = ( \sqrt{x} - 3)^{2} + 4[/tex]
[tex]f(h(x)) = (x - 9) + 4[/tex]
[tex]f(h(x)) = x - 5[/tex]
Step-by-step explanation:
h(x) became x for function of f(x)
write -1/2x + 4 = 10 in slope intercept form
Answer: y=-1/2x+4
Step-by-step explanation:
By rounding each number to the nearest 10, estimate the value of 197 ÷ 10.3
Answer:
20
Step-by-step explanation:
197 rounded to the nearest 10 is 200.
10.3 rounded to the nearest 10 is 10.
So, 200 ÷ 10 = 20
Answer:
20
Step-by-step explanation:
We are rounding to the nearest 10.
197≈200
10.3≈10
After you have rounded the numbers, The equation simplifies a whole bunch.
200/10=20
Please Mark As BrainliestWhat are the 4 steps in graphing linear inequalities?
Answer:
Separating the variables , using equality symbol , drawing boundary line in XY plane , shading the area are the four steps in graphing linear inequalities
Step-by-step explanation:
What is Linear inequality ?Mathematical expressions known as linear inequalities compare two expressions using the inequality symbol. The expression may be either a numerical or an algebraic expression, or it may be both.
Step 1: Always start by separating the variable y from the left side of the inequality.
Step 2: The equality symbol should be used in place of the inequality symbol
Step 3: Draw the boundary line from step 2 in the XY plane.
Step 4: The last step is to partially or completely shade the border line.
Separating the variables , using equality symbol , drawing boundary line in XY plane , shading the area are the four steps in graphing linear inequalities
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