Answer:
$25.83 / ft^2
Step-by-step explanation:
To find the rate, take the dollar amount and divide it by the area
310/12
25.833333
Rounding to the nearest hundredth
$25.83 / ft^2
Write an expression to represent the net change to Callie’s account balance each month.
Using a proportional relationship, the expression that represents the net change to Callie’s account balance each month is:
y = -104.12x.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the multiplication of the input variable and the constant of proportionality k, in the case of a direct relationship, as presented as follows:
y = kx
In this problem, we have that she is billed $416.48 in 4 months, hence the monthly payments are given as follows:
k = 416.48/4
k = 104.12.
This is the amount taken away from the account each month, hence the constant is negative and the expression is given as follows:
y = -104.12x.
Missing informationCallie was billed $416.48 for car repairs. She will pay the service center in 4 equal monthly installments from her bank account. What is the net change in her bank account balance after each monthly payment? Complete the steps below to solve this problem and others like it.
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I need help this test is important please help brainleist to whoever gets it right
The coordinates of vertex A' is (4,4).
It is given in the question that:-
A triangle ABC with vertices:-
A (-4,4),
B (-2,4) and,
C (-5,2).
We have to find the coordinates of vertex A' if triangle ABC is reflected across the y-axis to produce the image triangle A'B'C'.
If triangle ABC is reflected across the y-axis to produce the image triangle A'B'C' , it will be a mirror image of triangle ABC.
Hence, if the x coordinate is x then its image will be -x whereas the y -coordinate will remain the same.
Hence, the image of A (-4,4) will be A'(4,4).
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Heather is building a fence around her garden. For every 2 feet of fencing, the cost is $18.
Complete the table below showing the length of the fence and the cost.
Length of fencing (feet)
Cost ($)
2
18
45
7
72
10
X
S
The length of the fence that corresponds to the cost of fencing respectively is =
Length of fencing (ft): 2, 8, 5, 7, 10
Cost of fencing ($): 18, 72, 45, 63, 90.
What is Length?Length is defined as the measurement of how long a figure or structure is which is usually measured meters, centimetres or feets.
The cost of every 2 feets of the fence Heather is building is = $18
Cost for 8ft = $72, thus;If 2ft = 18
8ft = ×
Make X the subject of formula,
X = 8 × 18/2
X= 4×18 = $72
Cost for 5ft = $45, thus;If 2ft = 18
5ft = ×
Make X the subject of formula,
X = 5 ×18/2
X = 5×9
X = $45
Cost for 7ft = $63, thus;If 2ft = 18
7 ft = ×
Make X the subject of formula,
X = 7× 18/2
X = 7× 9=$ 63
Cost for 10ft = $90, thus;If 2ft = 18
10ft = X
Make X the subject of formula,
X = 10 × 18/2
X= 10× 9
X = $90
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Can someone help me with this math please
Please help! Two stores are having sales on cameras.
Store Z is offering a 17% off sale
Store B is offering all cameras on sale for 1/6 of their original price
Which store has the better sale price for a camera with an original price of $90?
A- Store Z because the sale price would be $74.70
B- Store B because the sale price would be $75
C- Store Z because the sale price would be $15.30
D- Store B because the sale price would be $15
3) Lacie decides to start a small business making monogrammed towels. She can set aside $3,020 for monthly costs. Fixed costs are $1,850 per month and variable costs are $1 per set of towels. How many sets of towels can she afford to make per month?
Answer: 1170 towels
Step-by-step explanation:
Let x be the no. of towels that can be made in a month
The equation for total cost then becomes,
3020 = 1850 + 1x
1170 = 1x
x = 1170 towels
A group of students was asked, "How many hours did you watch television last week?" Here are their responses. 5,10,12,10,12,6
Based on the number of hours that the group of students gave as their responses, the median 10 hours can be found to be and the mean is 9.1 hours.
How to find the median?To find the median, you have to first order the responses from lowest to greatest and then pick the middle number.
The responses given were:
5, 10, 12, 10, 12, 6
When ordered we get:
5, 6, 10, 10, 12, 12
The middle number is found by the formula:
= (Middle number₁ + Middle number₂) / 2
= (10 + 10) / 2
= 10 hours
How to find the mean?To find the mean, simple add up all the responses and then divide by the number of students:
= (5 + 6 + 10 + 10 + 12 + 12) / 6 student
= 55 / 6
= 9. 2 hours
The question is:
find median and the mean number of hours for these students
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Can someone pls tell me the answer.
The measure of the unknow angle is as follows;
∠7 = 47°How to find the measure of angles?When parallel lines are cut by a transversal lines, angle relationships are formed such as corresponding angles, alternate angles, linear angles, vertically opposite angles etc.
Therefore, line m and n are the parallel lines while the transversal line is line t.
Therefore, ∠7 is an alternate exterior angle to the angle 47 degrees.
Alternate exterior angles are congruent.
Therefore,
∠7 = 47 degrees.
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Which graph represents y=³√x-5
The answer to this hegarty maths question
The expression written as a single power(exponent) is 9⁶ .
Exponentiation, abbreviated as bⁿ, is a mathematical process that involves the base number (b) and the exponent (or power) number (n). The word is pronounced "b (elevated) to the (power of) n."
When n is a positive integer, exponentiation corresponds to repeated base multiplication because bn is the result of multiplying n bases. Normally, the exponent is shown as a subscript to the right of the base. The term "b raised to the nth power," "b (raised) to the power of n," "the nth power of b," "b to the nth power," or, most simply, "b to the nth," is used to describe bⁿ.the given expression is of the form:
9⁶÷9³
Which is equivalent to:
9⁶⁻³ (properties of exponents)
this is equal to 9⁶ .
The value of the expression is 9⁶ .
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pls help will mark brainliest
Ax + By = C is the standard form of the line equation, where A and B are constants.
What exactly is a line equation?A straight line is a mathematical equation which explains the connection between the straight line's coordinates.It can be written in a variety of ways and represents a line's slope, x-intercept, and y-intercept.The most common straight line equation forms are y = mx + c and ax + by = c.A straight line is an image created by connecting the two points A (x1, y1) and B (x2, y2) as closely as possible as well as extending both ends to infinity.As a result, a linear equation with x and y variables has the standard form: Ax + By = C, in which A, C and B are constant.
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4.602 in words how can i get it in words I need help pls help me
The population standard deviation is measured 120. A sample of 25 observations is taken from the population. What is the variance of the sampling distribution of the mean for this sample?.
===================================================
Explanation:
sigma = 120 = population standard deviation
n = 25 = sample size
sigma/sqrt(n) = standard deviation of the xbar distribution
sigma/sqrt(n) = 120/sqrt(25) = 24
The standard deviation of the sampling distribution of the mean for this sample is 24. Rephrased, the standard deviation of the xbar distribution is 24.
To get the variance, we square the standard deviation
variance = (standard deviation)^2
variance = 24^2
variance = 576
Keep in mind this is the variance of the xbar distribution, and not the original underlying distribution it came from.
Please do not lie for this or I will report you.
This is made up of 50 points
Easy math
What is 0.001 as a percentage greater than 100 but less than 1
Answer: it’s 0.1% there’s no precent for it that’s greater than 100 but less than 1
Step-by-step explanation:
what is the slope of y-intercept of the linear function shown (-6,0),(2,-2)
Answer:y=2x−6
Step-by-step explanation:
I am a factor of 40
When you pair me with 15 we have an LCM of 15
I am not one
The number that is a factor of 40 and when you pair it with 15 you have an LCM of 15 is; 5
What is the LCM of the numbers?LCM in mathematics simply means Least Common Multiple which is defined as the least common multiple of two numbers is the very lowest possible number that is divisible by both numbers.
Now, we are told that it is a factor of 40. Let us first list the factors of 40.
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
Now, since you will pair it with 15, the number also has to be a factor of 15 because only a number that is a factor of 15 can have 15 as a multiple.
Factors of 15 are; 1, 3, 5, 15
Now, the only number that is common to both 40 and 15 are 1 and 5. However we are told that it is not 1. Thus, the number is 5.
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Adding mixed numbersFind each sum. Write in simplest form6 2/5 + 3 2/5 =
ANSWER :
The answer is :
[tex]9\frac{4}{5}[/tex]EXPLANATION :
From the problem, we have :
[tex]6\frac{2}{5}+3\frac{2}{5}[/tex]The whole numbers will be added directly.
For the fraction part, the numerator is added and the denominator will stay the same.
That will be :
[tex](6+3)+(\frac{2}{5}+\frac{2}{5})=9\frac{4}{5}[/tex]HURRY!!!
what is negative 24 times positive 24
-24 x 24
Answer:
The answer is -576
Step-by-step explanation:
-24×+24
–×+= –
-24×24= -576
Represent the ratio relationship using the graph.
Ribbon (inches) 1 2 3
String (inches) 3 6 9
Answer:
see attached
Step-by-step explanation:
You want a graph of the relationship shown in the table ...
Ribbon (inches) 1 2 3String (inches) 3 6 9GraphThe attached graph shows a plot of the points in the table, and a line through them. The equation of the line is ...
y = 3x
where x is the inches of ribbon, and y is the inches of string.
The function p(t)=4+2(t−1) represents the number of people who can be seated at an event. The total of t tables are arranged in a certain way.
Select EACH correct statement about the scenario
The function p(t)=4+2(t−1) represents the number of people who can be seated at an event. Then the correct statements are
The function is an arithmetic sequenceThe number 2 is the number of tables added when t increases by 1.The number 4 represents the number of people that can be seated at an event if only 1 table is available.The function is
p(t)=4+2(t−1)
We know the nth term of the arithmetic sequence is
an = a + (n-1)d
By comparing the nth term of the arithmetic sequence and the given function
The first term a = 4
The common difference d = 2
The value of n = t
Hence, the function p(t)=4+2(t−1) represents the number of people who can be seated at an event. Then the correct statements are
The function is an arithmetic sequenceThe number 2 is the number of tables added when t increases by 1.The number 4 represents the number of people that can be seated at an event if only 1 table is available.The complete question is :
The function The function p(t)=4+2(t−1) represents the number of people who can be seated at an event. The total of t tables are arranged in a certain way.
Select EACH correct statement about the scenario.
The function is an arithmetic sequence.The number 2 is the beginning number of tables.The number 2 is the number of tables added when t increases by 1.The number 4 represents the number of people that can be seated at an event if only 1 table is available.Learn more about arithmetic sequence here
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What function translates the function f(x) = |x| to the right 2 units and up 10 units?
g(x) = |_| +__
Answer:
[tex]g(x)=|x-2|+10[/tex]
Step-by-step explanation:
Translations
[tex]f(x+a) \implies f(x) \: \textsf{translated $a$ units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated $a$ units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated $a$ units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated $a$ units down}[/tex]
Given absolute value function:
[tex]f(x)=|x|[/tex]
To translate the given function 2 units to the right, subtract 2 from the x-value:
[tex]\implies f(x-2)=|x-2|[/tex]
Then to translate the given function 10 units up, add 10 to the function:
[tex]\implies f(x-2)+10=|x-2|+10[/tex]
Therefore, the function that translates the function f(x) = |x| to the right 2 units and up 10 units is:
[tex]\large\boxed{g(x)=|x-2|+10}[/tex]
the total costs of ears of corn at the grocery depends upon how many ears of corn you buy . five ears cost $1.50 and 8 ears cost $2.40 . what is the constant rate of change \
The constant rate of change for an ear of corn at the grocery store is $0.30.
What is the constant rate of change?The constant rate of change describes the slope of a linear relationship.
The constant rate of change is the constant ratio of the output to the input in the function.
We can compute the constant rate of change by forming a set of simultaneous equations from the given variables.
Total Costs of Ears of Corn:
5 ears = $1.50 ... Equation 1 = 5c = $1.50
8 ears = $2.40 ... Equation 2 = 8c = $2.40
Subtract Equation 1 from Equation 2:
Difference = 3c = $0.90 ($2.40 - $1.50)
c = $0.30 ($0.90/3)
Constant rate of change = $0.30
Thus, the constant rate of change implies that each ear of corn at the grocery costs $0.30.
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Runners at a cross-country meet run 6 miles east and then 2 miles south from the starting line. Determine the shortest straight path they must run to get back to the starting line.
square root of 40 miles
square root of 32 miles
square root of 8 miles
8 miles
help pls i dont have much time!!
The shortest straights path for run to get back to the starting line will be;
⇒ √40
What is square root of a number?
A square root of a number is a value that multiplied by itself gives the same number.
Given that;
Runners at cross country meet run 6 miles east and again 2 miles south from the starting line.
Now,
We can apply the Pythagoras theorem to find the shortest straights path.
Hence,
Shortest straights path. = √6² + 2²
= √36 + 4
= √40
Thus, The shortest straights path for run to get back to the starting line will be;
⇒ √40
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Answer: square root of 40
Step-by-step explanation:
did the quiz!
EspanolA lamp has the shape of a parabola when viewed from the side. The light source (which is at the focus) is 3 centimetersfrom the bottom of the lamp and the lamp is 12 centimeters deep. How wide is the lamp?? cm? cma(-a, 12)ca. 12)B12 cm| (0.3)13 cmLightsource(0,0)3 cm12 cmcmCheckSave For LaterSubmit Assignment
It is important to know that the definition of the parabola is
[tex]x^2=4py[/tex]Where p represents the focus coordinate, so p = 3. Also, we know that y = 12, let's find x
[tex]\begin{gathered} x^2=4\cdot3\cdot12 \\ x=\sqrt[]{144} \\ x=12 \end{gathered}[/tex]But, the wide of the lamp is 2x, so
[tex]2x=2\cdot12=24[/tex]Hence, the wide of the lamp is 24 cm.If point (4, 5) is on the graph of a function, which equation must be true?
f(5)=4
f(5,4)=9
f(4)=5
f(5,4)=1
The correct representation of the function with point ( 4, 5 ) is f(4) = 5.
A function called f is defined by the notation y = f(x). This should be understood as "y is a function of x." The input value, or independent variable, is represented by the letter x. The output value, also known as the dependent variable, is denoted by the letter y, or f(x).
A mathematical statement known as an equation demonstrates the equality of two mathematical expressions.
Now a point on the graph is ( x, y ).
Consider the point ( 4, 5 ),
Then. x = 4 and y = 5.
So, the correct representation of a function will be:
y = f(x)
5 = f(4)
Therefore the correct representation of the function is (c) f(4) = 5.
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essica worked on metric conversionsin Physics class today.
She calculated 1,100 g into 1.1kg. Did Jessica calculate the
correct answer?Explain the process that she took to come to that conclusion.
Answer:
Yes she did!
Step-by-step explanation:
1000g = 1kg
meaning
1100 / 1000 = 1.1kg
Can you guys please help me with this? This question is worth 40 points for my grade!!
A cardboard box in the shape of cube has volume of 400 cubic inches, then the length of one side box is 7.36806 inches, and the nearest length is 7.4 inches.
Based on the given conditions,
A cardboard box in the shape of cube has volume of 400 cubic inches.
One side of the box = s inches
Given expression,
[tex]s^{3}[/tex] = 400
In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices.
So,
We can write,
[tex]s^{3}[/tex] = 400
s = [tex]\sqrt[3]{400}[/tex]
We can express 400 as 2 × 2 × 2 × 2 × 5 × 5
That is,
[tex]\sqrt[3]{400}[/tex] = [tex]\sqrt[3]{2*2*2*2*5*5}[/tex]
[tex]\sqrt[3]{400}[/tex] = [tex]\sqrt[3]{(2*2*2)*2*5*5}[/tex]
[tex]\sqrt[3]{400}[/tex] = [tex]2*\sqrt[3]{50}[/tex]
[tex]\sqrt[3]{400}[/tex] = 7.36806.
[tex]\sqrt[3]{400}[/tex] ≅ 7.4
Hence,
The value of the cube root of 400 is 7.36806 inches
Therefore,
The length of one side box is 7.36806 inches, and the nearest length is 7.4 inches.
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2. Triangles B and C have been built by dilating Triangle A. A A B C a. Find the center of dilation. b. Triangle B is a dilation of A with approximately what scale factor? c. Triangle A is a dilation of B with approximately what scale factor? d. Triangle B is a dilation of C with approximately what scale factor?
a) The center of expansion is at point P.
b) Triangle B is the reduction of A with a scale factor of about 3.
c) Triangle A is a reduction of B with a scale factor of about 13.
d) Triangle B is a miniature of C with a scale factor of approximately 23.
The scale factor is the ratio of change that occurs due to a change in the size of the shape.
Scale factor = Measurement of a new object ÷ Measurement of an old object
The dilation in scale factor from triangle A to triangle B could be assumed as (6 ÷ 2) + 10 = 13 from the point of dilation that is P.
Similarly, the dilation of triangle B to triangle C is lesser compared to triangle A to triangle B which could be assumed as 23.
When using the dilation approximation, the length of the side starting at the nearest point A is 2 cm. The corresponding segment length of B is approximately 6 cm. The scale factor is approximately 6 ÷ 2 = 3.
Similarly, triangles B and C can be considered equal to 13 and 23, respectively.
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CAN SOMEONE PLEASE ANSWERT THIS?
Answer:
?
Step-by-step explanation:
what are the steps and I can help you
