To dilate an image with a scale factor, multiply the scale factor with the dimensions of the image
The dilation is the process of changing the size of the given shape or figure ,the shape of the figure will be always same. Therefore dilation is one form transformation of shapes
The scale factor is the ratio of the measurement of the new shape to the measurement of the original shape.
We can use the scale factor for the dilation
To get the dilate and image with scale factor, we have to multiply the scale factor with the measurement of the original shape
The equation will be
The dimension after dilation = scale factor × original dimensions
Therefore, to dilate an image, multiply the scale factor and the original dimensions
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Find x . 6x+2x-17+6x-1+-3x+20
In the preceding equation, x has the value -2/11.
How do equations work?A mathematical formula that connects two expressions with the equals sign (=) expresses the equality of the two expressions. For instance, in English, an equation is any properly stated formula that consists of two expressions linked by the equals sign, whereas in French, an equation is described as containing one or more variables. To solve a variable equation, identify the values of the variables that cause the equality to hold true. The answer is known as the values of the variables that must satisfy the equality. Usually, it only has one variable and an equal sign. as in 2x - 4 Equals 2.
Equations can be categorized as identities or conditional equations.
6x+2x-17+6x-1-3x+20=0
14x-3x=18-20
11x=-2
x= -2/11
Therefore, in the preceding equation, x has the value -2/11.
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a bag contains 40 pieces of candy, of which 36 are mint and 4 strawberry flavor. if the pieces of candy are distributed in a random manner to four children so that each child receives 10 pieces, what is the probability that all four strawberry pieces will be received by the same child?
The probability that all four strawberry pieces will be received by the same child 9/10 outcome.
Total piece of candy = 40
Mint flavor = 36
Strawberry = 04
There are 36 + 04 = 40 total outcomes for the chocolate pick.
There are 36 outcomes resulting in you picking a mint candy.
Probability is the number of outcomes you’re testing for divided by the number of total outcomes. So in this case that’s 36/40 or 4/5 . And also,
04 /40 = 1/10
Therefore, adding both, we get,
4/5 + 1/10 = 9/10
The probability that all four strawberry pieces will be received by the same child is 9/10.
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pls help!! answer quickly please!
The answer for the equation should be 46
Answer:
the answer is 25
hope it is right
please mark as brainliest
How do you simplify 3 equations?
A set of distinct numerical expressions known as simplify algebraic expressions in mathematics has been deconstructed by numerous philosophers and intellectuals throughout history. Speaking of algebra, it is a discipline of mathematics that deals with geometry and number theory, two of the oldest ideas in mathematics.
1. Group like terms: Combining all the terms that have the same variables and coefficients to form a single term.
2. Factor out the greatest common factor (GCF): Factoring out the greatest common factor from each of the terms in the equation.
3. Use the distributive property: Rewriting an expression using the distributive property to make it easier to solve.
4. Combine like terms: Summing or subtraction the same terms on both sides of the equation.
5. Use factoring techniques: Factoring a polynomial equation to make it easier to solve.
6. Use the addition or subtraction principle: Rewriting an equation so that all the terms are on the same side of the equation.
7. Use the multiplication or division principle: Rewriting an equation so that all the terms are on the same side of the equation, multiplied or divided by the same number.
8. Use substitution: Replacing an unknown with a known value in an equation.
9. Use the quadratic equation: Solving an equation with a quadratic equation if it can be written in the form of ax2 + bx + c = 0 by simplify.
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Please answer this question
(x-4/5)-(x+1/6)=1/3
The answer of the algebraic equation is x = 30
How to solve an algebraic expression?
An algebraic equation is when two expressions are set equal to each other, and at least one variable is included
Given: (x-4/5)-(x+1/6)=1/3
(x-4/5)-(x+1/6)= 1/3
The LCM of 5 and 6 is 30
[6(x-4) - 5(x+1)]/30 = 1/3
cross multiply:
[6(x-4) - 5(x+1)] = 30/3
Expand the bracket:
6x -24 -5x -5 = 10
Add/subtract like terms:
x - 29 = 10
x = 10 + 29
x = 30
Thus, the answer is x = 30
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Answer:
39
Step-by-step explanation:
So first up Expand ( - [tex]\frac{4}{5}[/tex]) -(x + [tex]\frac{1}{6}[/tex]): - [tex]\frac{29}{30}[/tex]
so 1 more thing you have to remember their will be no answer so You then have to add this up - [tex]\frac{29}{30} =\frac{1}{3}[/tex]
so last step Multiply by LCM "Least common multiply"
so -29 = 10
and we do not have an answer because The sides are not equal so if you need an answer it will be
39
PLS HELP ME ASAP ILL GIVE BRAINLIESY PLS SHOW ME THE MATH PLSSS HELP TYSM PLS HELP ASASP
Answer:
c = 16
Step-by-step explanation:
–1 = –5c/8 + 9
multiply both sides of the equation by 8
–1 × 8 = –5c/ 8 × 8 + 8 × 9
–8 = –5c + 72
collect like terms
–8 – 72 = –5c
–80 = –5c
divide both sides by –5 to get c
–80/–5 = c
16 =c
c = 16
Lets check our answer if it is correct
since c= 16 lets substitute
–1 = –5 × 16 /8 + 9
–1 = –5 × 2 + 9
–1 = –10 + 9
–1 = –1
LHS = RHS
so our answer is correct
please mark as brainliest
-5/8 = -.625
you can subtract the 9 to get -10
so you have -10 = -.625(c)
as in the picture you provided, c = 16.
if you multiply 16 and -.625
you get -10.
you're welcome :D
hope my answer helped :)
the distribution of scores on a recent test closely followed a normal distribution with a mean of 22 points and a standard deviation of 2 points. for this question, do not apply the standard deviation rule. (a) what proportion of the students scored at least 28 points on this test, rounded to five decimal places?
according to the question,
given question in the data,
a normal distribution with a mean of 22 points
a standard deviation of 2 points,
Z-score
The Z-score is used to determine the number of standard deviations the raw score is above or below the mean. It is given as:
z = (x - μ)/σ
where x is the raw value, σ is the standard deviation, and μ is the mean.
μ = 22, σ = 2
For x > 25:
z = (25 - 22)/2 = 1.5
P(z > 1.5) = 1 - P(z < 1.5) = 1 - 0.9332 = 0.0668
The 42nd percentile z-score is -0.2.
ven data in the question,
-0.2 = (x - 22)/2
x = 21.6
6.68% of students scored 25 or higher on this test
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The proportion of students scoring at least 28 points on this test is 6.68%
What do you mean by proportion?the ratio of the size, number, or quantity of one object or group to that of another. In our class, guys outnumber girls by a factor of three.
What is the mean proportion formula?The positive integer x, such that px=xq, is the geometric mean or mean ratio of two positive numbers, p, and q.
Considering the query,
given query in the information,
an average normal distribution of 22 points
a 2 point standard deviation,
Z-score
The Z-score is used to calculate how many standard deviations above or below the mean the raw score is. It is specified as:
z = (x - μ)/σ
where the mean is and the standard deviation and the raw value, x, is.
μ = 22, σ = 2
For x > 25:
z = (25 - 22)/2 = 1.5
P(z > 1.5) = 1 - P(z < 1.5) = 1 - 0.9332 = 0.0668
The z-score for the 42nd percentile is -0.2.
the information in the question,
-0.2 = (x - 22)/2
x = 21.6
On this test, 6.68 % of students received a 25 or better.
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One leg of a right triangle has a measure of 19 units. The hypotenuse has a measure of 7085 square root units. Determine the length, in units, of the other leg. Show you work for partial credit
Answer:
The other leg is 82 units------------------------
Given:
a = 19,c = [tex]\sqrt{7085}[/tex],b = ?Find the missing leg, using Pythagorean:
a² + b² = c²19² + b² = 7085361 + b² = 7085b² = 7085 - 361b² = 6724b = [tex]\sqrt{6724}[/tex]b = 82An animal kennel can hold twice as many cats as dogs, x. The kennel
holds at most 18 animals. Which inequality represents the maximum
number of dogs the kennel can hold?
A. 2x + x > 18
B. 2x – x > 18
C. 2x + x ≤ 18
D. 2x – x ≤ 18
Answer:
c
Step-by-step explanation:
Hill co. Can further process product o to produce product p. Product o is currently selling for $60 per pound and costs $42 per pound to produce. Product p would sell for $82 per pound and would require an additional cost of $13 per pound to produce.
The Hill Co. should not further produce Product P from Product P.
We need to calculate the incremental cost and incremental revenue of producing P to understand the profit or loss margin.
Incremental revenue = Selling product of P - Selling product of O
Incremental revenue = 82 - 60
Performing subtraction
Incremental revenue = $22
Incremental cost = Cost of producing O - Cost of producing P
Incremental cost = 42 - 13
Performing subtraction
Incremental cost = $29
It is clear that incremental cost is more than incremental revenue, so Hill Co. should not continue the production.
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Look at the simultaneous equations below.
x - 4y = 12
x - 2 = 6y
(1)
(2)
a) Rearrange equation (2) to make the subject.
b) Using your answer to part a), solve the simultaneous
equations using substitution.
(a) The equation of subject x are,
x = 4y + 12
x = 6y + 2
(b) The values of x and y are x = 32, y = 5.
What is simultaneous equations?
A system of equations, also referred to as an equation system or a set of simultaneous equations, is a finite set of equations for which common solutions are sought.
Consider, the given equations
x - 4y = 12 ..(1)
x - 2 = 6y ..(2)
(a) We have to rearrange equations to make x the subject.
So, the equation of subject x are
x = 4y + 12
x = 6y + 2
(b) Now to solve the system of equations.
Let
x = 4y + 12 ..(3)
x = 6y + 2 ..(4)
Plug value of equation (4) in equation (3),
6y + 2 = 4y + 12
2y = 10
y = 5
Plug y = 5 in equation (3)
x = 4(5) + 12
x = 20 + 12
x = 32
Hence, the values of x and y are x = 32, y = 5.
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Janelle and Hector work at the Pumpkin Pi Bakery as
2) Recall that the amount of profit the bakery earns
pie makers. Janelle can make 10 pies in 2 hours and each day depends on the number of pies made, n. This Hector can make 9 pies in 3 hours. Assume these rates profit can be found using the function are constant. How much profit do they bring to the
P(n) = 15.5 - 85. If Janelle and Hector make 20
bakery?
How many pies can Janelle and Hector make together in 1 hour? How many pies can Janelle and Hector make together in t hours?
Answer:
9 pies per hour
Step-by-step explanation:
If Janelle can make 10 pies in 2 hours
10 divided by 2 is 5
so she can make 5 pies per hour
If hector can make 9 pies in 3 hours
9 divided by 3 is 3
so he can make 3 pies per hour
so 3 + 5 is 9 pies per hour
together they they can make 9 pies per hour
Find the dimensions of the box with volume 1000 cm3 that has minimal surface area.
The dimensions of the box with a volume of 1000 cm3 that has a minimal surface area are 10 cm* 10 cm*10 cm.
Let's define the dimensions of the box as x, y and z. The surface area of the box is given by: 2(xy + xz + yz). We want to minimize the surface area. Since the volume is 1000 cm3, we know xyz = 1000. Therefore, the surface area of the box is given by:
2(xy + xz + yz) = 2(1000/x + 1000/y + 1000/z), We need to minimize 2(1000/x + 1000/y + 1000/z) subject to xyz = 1000. This is a constrained optimization problem. We can solve this problem using Lagrange multipliers. Let L(x, y, z, λ) be the Lagrangian given by:
L(x, y, z, λ) = 2(1000/x + 1000/y + 1000/z) + λ(xyz - 1000), To find the minimum, we need to find the critical points of the Lagrangian. Taking the partial derivatives of L with respect to x, y, z, and λ, we get:
∂L/∂x = -2000/x² + λyz = 0
∂L/∂y = -2000/y² + λxz = 0
∂L/∂z = -2000/z² + λxy = 0
∂L/∂λ = xyz - 1000 = 0
From the last equation, we get xyz = 1000. Substituting this value in the first three equations, we get:
∂L/∂x = -2000/x² + 2000/x = 0
∂L/∂y = -2000/y² + 2000/y = 0
∂L/∂z = -2000/z² + 2000/z = 0
Solving these equations, we get x = y = z = 10. Therefore, the dimensions of the box with minimal surface area and volume of 1000 cm3 are x = y = z = 10 cm.
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A fruit punch recipe uses 4 cups of orange juice for every 1 cup of cranberry juice. Select the three statements about the recipe that are true.
A. The ratio of orange juice to fruit punch is 4:5.
B. The ratio of cranberry juice to fruit punch is 1:4.
C. The ratio of cranberry juice to orange juice is 1 to 4.
D. There is 1 cup of cranberry juice for every 4 cups of fruit punch. E. There are 4 cups of orange juice for every 5 cups of fruit punch.
answer: b "the ratio of cranberry juice to fruit punch is 1:4"
C "The ratio of cranberry juice to orange juice is 1 to 4."
D "There is 1 cup of cranberry juice for every 4 cups of fruit punch. E. There are 4 cups of orange juice for every 5 cups of fruit punch"
Bo went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 50 grams of sugar and each bottle of juice has 25 grams of sugar. Bo purchased a total of 7 bottles of juice and soda which collectively contain 250 grams of sugar. Determine the number of bottles of soda purchased and the number of bottles of juice purchased.
Using a system of equations and solving them via simultaneous method, we determined that Bo bought 3 soda and 4 juice.
What is System of Equations?
A system of equations, also known as a set of simultaneous or an equation system, is a finite set of equations for which we sought the common solutions. A system of equations can be classified in a similar manner as single equations.
We can write out the equations and proceed to solve this problem.
Let;
x = soda
y = juice
x + y = 7 ...eq(i)
50x + 25y = 250 ...eq(ii)
Solving equation (i) and (ii)
The value of x and y are 3 and 4 respectively
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what is angle 1 2 and 3 moo
W
(4y-5)
(2y + 5)
S
R
P
V
What is the value of y?
Answer:
Multiply 5 5 by −4 - 4 . Multiply 2 2 by −5 - 5 . Multiply −5 - 5 by 5 5 . Subtract 10y 10 y from −20y - 20 y .
A cereal box says that now it contains 20% more.
Originally, it came with 185 g of cereal.
How much cereal does the box come with now?
Answer:
222 grams.
Step-by-step explanation:
If it is 20% more, then it is 1.2 times more. 1.2*185=222, so the cereal box comes with 222 g of cereal.
One endpoint on GH is G(–7, 24). The midpoint is M(3, 4). Find the coordinates of the endpoint H. ( , )
Please help find endpoint H
Answer:
H (13, -16)
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{7.4 cm}\underline{Midpoint between two points}\\\\Midpoint $=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)$\\\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the endpoints.\\\end{minipage}}[/tex]
Given:
Endpoint (x₁, y₁) = G (-7, 24)Endpoint (x₂, y₂) = H Midpoint = M (3, 4)Substitute the given endpoint G and midpoint M into the midpoint formula:
[tex]\implies M=\left(\dfrac{x_H+x_G}{2},\dfrac{y_H+y_G}{2}\right)[/tex]
[tex]\implies (3, 4)=\left(\dfrac{x_H-7}{2},\dfrac{y_H+24}{2}\right)[/tex]
x-value of endpoint H:
[tex]\implies 3=\dfrac{x_H-7}{2}[/tex]
[tex]\implies 6=x_H-7[/tex]
[tex]\implies x_H=13[/tex]
y-value of endpoint H:
[tex]\implies 4=\dfrac{y_H+24}{2}[/tex]
[tex]\implies8=y_H+24[/tex]
[tex]\implies y_H=-16[/tex]
Therefore, the coordinates of endpoint H are:
(13, -16)Answer: 13 -16
Step-by-step explanation: Edge 2023
What is the slope of a line perpendicular to Y =- 7x?
To get the slope, use the slope-intercept form and calculate the reciprocal of the slope of the given line . The slope of a line perpendicular to Y = -7x is 7.
The slope of a line perpendicular to a given line is the negative reciprocal of the original line's slope. To get the slope, use the slope-intercept form and calculate the reciprocal of the slope of the given line.
Since Y = -7x has a slope of -7,
the slope of the perpendicular line is -1/ -7,
which simplifies to 7.
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the table below shows the population, p, of a city During certain years, t. write a cubic equation to model the data, then predict the population of the city in 2020.
|t: 1993, 1996, 2000, 2005, 2009, 2014|
|s: 2850, 3,257, 4,234, 6,475, 10,158, 27,385|
Answer:Use the model to t = predict the population of each country in 2030.
Step-by-step explanation:
This shows a graph of a function.
Where is the function decreasing?
The function decreases when x is less than –7.
The function decreases when x is greater than –6.
The function decreases when x is between 0 and 4.
The function decreases when x is between –6 and 0.
We can infer from the graph that is attached that (D) the function decreases when x is between -6 and 0.
What is a function?A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X.
The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
So, consider the given chart.
For a certain period of points, the function is decreasing.
Attach the point to the x-axis and we will get that between the x-axis -6 and 0, the function is decreasing.
Therefore, we can infer from the graph that is attached that (D) the function decreases when x is between -6 and 0.
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Complete question:
This shows a graph of a function.
Where is the function decreasing?
a. The function decreases when x is less than –7.
b. The function decreases when x is greater than –6.
c. The function decreases when x is between 0 and 4.
d. The function decreases when x is between –6 and 0.
Determine the quotient: 5 3/5 ÷ 7 1/3 I need the answer Plus showing work
The quotient of the fractions is 42/55
How to determine the quotient of fractions?
The quotient of a fraction is the value that is obtained when you simplify the fraction
Given: 5 3/5 ÷ 7 1/3
5 3/5 = 28/3 and 7 1/3 = 22/3
5 3/5 ÷ 7 1/3 = 28/5 ÷ 22/3
= 28/5 × 3/22
= 84/110
= 42/55
Thus, the quotient is 42/55
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Which phrase best describes the association between days absent and test score?
a
strong negative association
b
strong positive association
c
weak negative association
d
weak positive association
The association between days absent and test score is described by weak negative association.
What is Statistics?The discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
We need to find the association between days absent and test score.
From the graph we know that the x axis is represented by the average number of days absent and y axis is represented by the Average test score.
The association is depended on the correlation.
The correlation will positive increasing when the values of x axis are increasing and the value of y is increasing.
In the given graph as the values are decreasing the x values are increasing.
Which means it is a negative association.
Hence, weak negative association is describes the association between days absent and test score.
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The Produce Place sells a 12-ounce package of cranberries
for the same unit price as the 8-ounce package. What is
the price of the 12-ounce package? Explain.
Answer: the price is 1,5 8-ounce price
Step-by-step explanation: The unitary price is the same, but the quantity is 12/8 = 1,5.
The 12-ounce price should be 1,5 more than the 8-ounce price.
Please answer soon! Thanks in advance
Answer:
Step-by-step explanation:
System A
the two lines have the same slope, so they are parallel and never intercept themselves.
the system has no solution.
System B
By multiplying the first equation by -1
x + 4y = -3
The two equations are equals so the lines are the same.
The system has infinitely many solutions
sarah cut a 21-foot long ribbon into four equal lengths. how many feet long was each length of ribbon
The function f(x) = x² has been transformed to g(x) = (x − h)². If h > 0, then what type of transformation
happened?
O move up
O move down
O move right
O move left
A marina is in the shape of a coordinate grid. Boat A is docked at (3, −1) and Boat B is docked at (−4, −1). The boats are units apart.
Answer:
The distance between boat A and boat B will be 7.2 units apart.
What is the distance between two points?
It is the measure of distance between the two points and is known as length. The length is measured in meters generally. Let one point be (x, y) and another point be (h, k).
Then the distance between the points will be
D² = (x - h)² + (y - k)²
A marina is looking like a direction framework. Boat An is moored at (3.1, −1) and Boat B is moored at (−4.1, −1).
Then the distance between the points (3.1, −1) and (−4.1, −1) will be given as,
D² = (-1 + 1)² + (3.1 + 4.1)²
D² = (7.2)²
D = 7.2 units
The distance between boat A and boat B will be 7.2 units apart.
Answer:
7 Units
Step-by-step explanation:
Dan earns £8.80 per hour. How much will he earn for 6 hours work?
Answer:
£52.8
Step-by-step explanation:
£8.80 per hour
1 hour £8.80
£8.80×6 hours
=£52.8
Answer:
£52.80 after 6 hours
Step-by-step explanation:
8.80*6=52.8 which means £52.80.