9514 1404 393
Answer:
B. x +6y = 4.45; x +12y = 5.65
Step-by-step explanation:
The problem statement defines the variables for you. Using x and y for the cost of a loaf and the cost of an egg, respectively, each purchase can be represented by an equation of the form ...
(number of loaves)x + (number of eggs)y = (amount spent)
The first purchase is described as
number of loaves = 1number of eggs = 6amount spent = 4.45equation: x +6y = 4.45The second purchase is of a dozen eggs, which is 12 eggs. The description of this purchase can be ...
number of loaves = 1number of eggs = 12amount spent = 5.65equation: x +12y = 5.65The situation can be represented by the equations shown in the attachment.
How do you calculate the cost of repaying a car
loan?
PLEASE ANSWER
Answer: 200.8
Step-by-step explanation: i juss subtracted
What’s 4x + 7y + 4 + 5x + y
Hello!
Okay, so first we need to add like terms... so first, add the terms with the same variables. That gives us:
9x + 7y + 4 + y
Now add 7y and y
That gives us:
9x + 8y + 4
This can't be added anymore... this is as far as we can go because they are no longer like terms.
Answer: 9x+8y+4
Step-by-step explanation:
4x+7y+4+5x+y
9x+7y+4+y
9x+8y+4
Phil has completed 1/4 of his shift; Darren has completed 3/7 of his shift; Alice has finished 1/8 of her shift; Lisa has 1/5 of her shift remaining. Out of the four employees, who has completed the least work time?
Answer:
Out of the four employees, Alice is the one who has completed the least work time, since she only completed 12.5% of it.
Step-by-step explanation:
Since Phil has completed 1/4 of his shift; Darren has completed 3/7 of his shift; Alice has finished 1/8 of her shift of her; and Lisa has 1/5 of her shift remaining, to determine, out of the four employees, who has completed the least work time, the following calculation must be performed:
Phil: 4 - 1/4 = 3/4 = 0.75
Darren: 7 - 3/7 = 4/7 = 0.57
Alice: 8 - 1/8 = 7/8 = 0.875
Smooth: 5 - 1/5 = 4/5 = 0.8
Thus, of the four employees, Alice is the one who has completed the least work time, since she only completed 12.5% of it.
Interpreting Graphs of Linear and Exponential Functions in Context - Item 31449
Question 2 of 7
A boat depreciates in value each year. Which of the following is NOT true about the
value of the boat after t years?
(s) onje BOA
20,000 -
16,000 -
12,000 -
8,000
4.000-
0
4
8 12 16%
20
Time yn
CLEAR
CHECK
The value of the boat is decreasing over time,
The boat will be worth more in 20 years than the amount it
was purchased for
The boat was initially purchased for $20,000
After 4 years, the boat will be worth exactly half of its
original price
Answer:
???
Step-by-step explanation:
Hello may you please answer this question step by step for me. Thank you.
Answer:
20°
Step-by-step explanation:
A full circle is 360°
So at B,
angle a + 30 + 160 + 90(right angle) = 360
angle a + 280 = 360
angle a = 360 - 280 = 80
Now the markings indicate that side AC = side AB (you have been told it's isosceles right and isoceles triangles have two equal sides and two equal angles)
This also implies that angle a = angle b.
So, angle a is 80°
angle b is 80°
angle x = 180 - (80+80) = 180 - 160 = 20°
Note that the sum of all interior angles of a triangle is always 180
S vi) The temperature in Gulmerg in Kashmir was-10°C in January and it rose by 44°c to reach the maximum temperature during summer. The maximum temperature during summer in that year was
The maximum temperature during summer in that year was 34°C.
It's not possible for the maximum temperature in Gulmarg, Kashmir to rise by 44°C during the summer.
A temperature rise of that magnitude would be extremely unusual and potentially dangerous.
However, assuming that the question meant to ask about the difference between the minimum temperature in January and the maximum temperature in summer, we can proceed with the calculation.
The minimum temperature in January was -10°C, and if we add 44°C to it, we get:
-10°C + 44°C = 34°C
Therefore, the maximum temperature during summer in that year was 34°C.
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Stefan sells Jin a bicycle for $104 and a helmet for $17. The total cost for Jin is 110% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin?
The amount Stefan spent originally to buy the bike is; $100.91.
The amount Stefan made in profit by selling the bicycle and helmet to Jin is; $10.09.
How much did the bicycle cost originally?According to the task content;
Stefan sold the bicycle and helmet for a total of;
104 + 17 = $111.
Also, since the total cost ($111) for Jin is 110% of what Stefan spent to buy the bicycle and helmet, x originally; we have
110% × x = 111
x = (111 × 100) / 110
x = $100.91.
Therefore, Stefan spent $100.91 originally to buy the bike and helmet.
Consequently, the money Stefan made by selling the bicycle and helmet to Jin is; 111 - 100.91 = $10.09.
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Mayerlin has xx dimes and yy nickels. She has no more than 20 coins worth no less than $1.30 combined. Solve this system of inequalities graphically and determine one possible solution.
The region common to both the inequality graphs represents the possible solutions for the given set of inequality.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that Mayerlin has {x} dimes and {y} nickels. She has no more than 20 coins worth no less than $1.30 combined
An inequality is used to make unequal comparisons between two expressions or numbers.1 dime equals to 0.10 dollars or (1/10) dollars.1 nickel equals to 0.05 dollars or (1/20) dollars.We can write the inequalities as -
x + y < 20 .... (1)
x/10 + y/20 > 1.30 .... (2)
Refer to the graph of the inequalities attached. The region common to both the inequality graphs represents the possible solutions for the given set of inequality.
Therefore, the region common to both the inequality graphs represents the possible solutions for the given set of inequality.
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a town's population was 7500 at the beginning of the year 2000 and has been decreasing by 3.2 % each year thereafter.
Answer:
In 2022, the town's population is 2220.
Step-by-step explanation:
It currently the year 2022. Hence, 22 years have passed since 2000.
2022 − 2000 = 22
To solve for the town's population today, first multiply the years passed since 2000 by the percent decrease each year.
\(22 \, \textrm{years} \times \dfrac{3.2 \, \%}{\textrm{year}} = 70.4 \, \%\)
Then, subtract that percent of the population in 2000 from the population in 2000.
\(7500-(70.4 \,\% \cdot 7500)\)
\(= 7500 - 5280\)
\(=2220\)
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Does the series converge or diverge? If it converges, what is the sum? Show your work.
Step-by-step explanation:
This is a geometric series where our common ratio is -1/2, and a is -4
Since r is less than -1, this series converges so
The sun is
\( \frac{ - 4}{1 + 0.5} \)
\( \frac{ - 4}{1.5} = - \frac{8}{3} \)
The sum is -8)3
Gaby's piggy bank contains dimes and quarters worth $12.80. If she has 74 coins in all, how many of each does she have?
Answer:
Number of dimes = d
number of quarters = q
0.1d + 0.25q = 12.80
d + q =74
q = 74 - d
0.1d + 0.25 (74 - d) = 12.80
d = 38
q = 74 - 38 = 36
Step-by-step explanation:
I have a you tube channel "Sciency Sergei". You may want to stop by and see if there is anything useful for you. You may also suggest a topic to discuss or a problem to solve.
Simplify all ratios and keep them as improper fractions
If arc cos = -8/17 and arc sin is negative, then arcsin is _____ and arctan is ______
To find arcsin, we need to use the identity:
sin(arcsin(x)) = x
Since arcsin is negative, sin(arcsin) is also negative. Therefore, we can say:
sin(arcsin) = -sqrt(1 - (cos)^2)
where (cos)^2 = 8/17
Substituting, we get:
sin(arcsin) = -sqrt(1 - (8/17))
Simplifying, we get:
sin(arcsin) = -sqrt(17/17 - 8/17)
Simplifying further, we get:
sin(arcsin) = -sqrt(9/17)
Therefore, arcsin = -sqrt(9/17)
To find arctan, we need to use the identity:
tan(arctan(x)) = x
Substituting, we get:
tan(arctan) = -8/17
Therefore, arctan = -8/17
So, arcsin is -sqrt(9/17) and arctan is -8/17.
Polygon ABCD with vertices at A(−4, 6), B(−2, 2), C(4, −2), and D(4, 4) is dilated using a scale factor of three fifths to create polygon A′B′C′D′. If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′.
A′(5.8, −3), B′(1.6, −1.5), C′(−1.6, 3), D′(2.5, 3)
A′(−12, 18), B′(−6, 6), C′(12, −6), D′(12, 12)
A′(2.4, −3.6), B′(1.2, −1.2), C′(−2.4, 1.26), D′(−2.4, −2.4)
A′(−2.4, 3.6), B′(−1.2, 1.2), C′(2.4, −1.2), D′(2.4, 2.4)
If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′ are: D. A′(−2.4, 3.6), B′(−1.2, 1.2), C′(2.4, −1.2), D′(2.4, 2.4).
What is dilation?In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.
Next, we would have to dilate the coordinates of the preimage by using a scale factor of 3/5 centered at the origin as follows:
Ordered pair A (-4, 6) → Ordered pair A' (-4 × 3/5, 6 × 3/5) = Ordered pair A' (-2.4, 3.6).
Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3/5, 2 × 3/5) = Ordered pair B' (-1.2, 1.2).
Ordered pair C (4, -2) → Ordered pair C' (4 × 3/5, -2 × 3/5) = Ordered pair C' (2.4, -1.2).
Ordered pair D (4, 4) → Ordered pair D' (4 × 3/5, 4 × 3/5) = Ordered pair D' (2.4, 2.4).
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Solve for x and show steps . Is the solution extraneous ? Check your work to show how you determined if the solution is extraneous or not
Square 4x-3=5
The solution of the equation 4x - 3 = 5 is not extraneous .
How to solve an equation?Extraneous solutions are values that we get when solving equations that aren't really solutions to the equation.
Therefore, let's solve the equation to know whether it is extraneous solution.
Hence,
4x - 3 = 5
add 3 to both sides of the equation
4x - 3 + 3 = 5 + 3
4x = 8
divide both sides of the equation by 4
4x / 4 = 8 / 4
x = 2
Therefore, it is not extraneous solution.
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9/15
of this figure is shaded.
Select the three figures that represent fractions equivalent to 9/15
Answer:
Step-by-step explanation:
One of the figures would be 3/5
Another 18/30
or 27/45
If the ratio of boys to girls in the sixth-grade chorus is 2 to 3, which choice shows possible numbers of the boys and girls in the chorus? please answer
Answer:
4 to 6
Step-by-step explanation:
An astronaut drops a hammer on the Moon as part of an experiment. Before the drop, he raises the hammer by a height of 1 m, which increases its gravitational potential energy by 1.2 J. The mass of the hammer is 0.75 kg. Calculate the gravitational field strength on the Moon.
Answer:
1.6 N/kg
Step-by-step explanation:
The units of gravitational field strength are newtons per kilogram. The joule is a derived unit equivalent to a newton·meter.
Then the field strength is ...
newtons/kg = (1.2 N·m)/((1 m)(0.75 kg)) = 1.6 N/kg
Sixty-nine percent of U.S heads of household play video or computer games. Choose 4 heads of household at random. Find the probability that none play video or computer games.
Answer: 0.00923521
Step-by-step explanation:
Given : The probability U.S households play video or computer games=69%=0.69
here, the probability of each U.S household play video or computer games is fixed as 0.69
Then, the probability of each U.S household not play video or computer games= 1-0.69=0.31
For independent events the probability of their intersection is product of probability of each event.
Now, the probability that none play video/computer games will be :-
\((0.31)^4=0.00923521\)
f (x) = 2x^2 - 4x + 1
i don't know specifically what you are looking for but:
Direction: Opens Up
Vertex: (1, -1)
Axis of Symmetry: x = 1
and i attached the graph
Answer: x = √(((-F - 4)^2)/16 - 1/2) + (F + 4)/4 or x = (F + 4)/4 - √(((-F - 4)^2)/16 - 1/2)
Step-by-step explanation:
Solve for x:
F x = 2 x^2 - 4 x + 1
Subtract 2 x^2 - 4 x + 1 from both sides:
-2 x^2 + F x + 4 x - 1 = 0
Collect in terms of x:
-1 + x (F + 4) - 2 x^2 = 0
Divide both sides by -2:
1/2 + 1/2 x (-F - 4) + x^2 = 0
Subtract 1/2 from both sides:
1/2 x (-F - 4) + x^2 = -1/2
Add 1/16 (-F - 4)^2 to both sides:
1/16 (-F - 4)^2 + 1/2 x (-F - 4) + x^2 = 1/16 (-F - 4)^2 - 1/2
Write the left hand side as a square:
(1/4 (-F - 4) + x)^2 = 1/16 (-F - 4)^2 - 1/2
Take the square root of both sides:
1/4 (-F - 4) + x = √(1/16 (-F - 4)^2 - 1/2) or 1/4 (-F - 4) + x = -√(1/16 (-F - 4)^2 - 1/2)
Subtract 1/4 (-F - 4) from both sides:
x = √(((-F - 4)^2)/16 - 1/2) + (F + 4)/4 or 1/4 (-F - 4) + x = -√(1/16 (-F - 4)^2 - 1/2)
Subtract 1/4 (-F - 4) from both sides:
Answer: x = √(((-F - 4)^2)/16 - 1/2) + (F + 4)/4 or x = (F + 4)/4 - √(((-F - 4)^2)/16 - 1/2)
18.2x^3 + 4x^2 + 2x
A. This polynomial could be factored by finding the GCF, then by grouping or using the perfect squares method.
B. This polynomial could be factored by using the difference of squares method, perfect squares method, or grouping.
C. This polynomial could be factored only by using the perfect squares method.
D. This polynomial could be factored by using grouping or the perfect squares methods.
E. This polynomial could be factored only by using the difference of squares method.
F. This polynomial cannot be factored by any of the methods used in this lesson.
Answer:
A. This polynomial could be factored by finding the GCF, then by grouping or using the perfect squares method.
Step-by-step explanation:
2x^3 + 4x^2 + 2x
First factor out the GCF
2x ( x^2 + 2x +1)
Then factor the inside by either using grouping or recognizing that this is a perfect square a^2 + 2ab + b^2 = ( a+b) ^2
2x ( x^2 + 2 * x * 1 + 1^2)
2x ( x+1) ^2
Answer:
A. This polynomial could be factored by finding the GCF, then by grouping or using the perfect squares method.
Step-by-step explanation:
2x^3+4x^2+2x
factor common term 2x
= 2x (x² + 2x + 1)
then factor x² + 2x + 1 to (x + 1)(x + 1)
= 2x (x + 1)(x + 1)
refining the equation
= 2x (x + 1)²
Graph the piecewise function. You must graph on your own and not use a web-based program to graph. f(x)={(1/3 x-1 if " x≤0 -1/2 x+6 if 0
The graph for the piecewise function f(x)={(1/3 x-1" if "x≤0 -1/2 x+6" if "0<x≤6 is attached in the solution.
What is a piecewise function?A piecewise function is a function that is defined on a sequence of intervals.
Given is a piecewise function f(x)={(1/3 x-1" if "x≤0 -1/2 x+6" if "0<x≤6
Plotting the graph for:
f(x)={(1/3 x-1" if "x≤0 -1/2 x+6" if "0<x≤6
From the graph, we conclude that:
The graph of the given piecewise function is a straight line with two segments.
The first segment, which lies between x = 0 and x = 6, has a slope of -1/2 and a y-intercept of 6.
The second segment, which lies between x = 0 and x = -∞, has a slope of 1/3 and a y-intercept of -1.
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help me please .........
Answer:
D. A slope of 3/2
Step-by-step explanation:
FInd slope with the formula y2-y1/x2-x1
Which expression is equivalent to 250 + 150 ?
Answer:
if 25c + 15d = 0, then d = -25/15c
Step-by-step explan
just yes, that
what would be your first step in completely factoring 6a^2-15a+6
The completely factoring form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).
To completely factor the expression 6a^2 - 15a + 6, the first step is to check if there is a common factor among the coefficients (6, -15, and 6) and the terms (a^2, a, and 1).
In this case, we can see that the common factor among the coefficients is 3, so we can factor out 3:
3(2a^2 - 5a + 2)
Now we need to factor the quadratic expression inside the parentheses further. We are looking for two binomials that, when multiplied, give us 2a^2 - 5a + 2. The factors of 2a^2 are 2a and a, and the factors of 2 are 2 and 1. We need to find two numbers that multiply to give 2 and add up to -5.
The numbers -2 and -1 fit this criteria, so we can rewrite the expression as:
3(2a - 1)(a - 2)
Therefore, the completely factored form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).
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A company uses the graph to show how many packages each truck driver delivers .How many packages will one truck driver deliver in a 7-hour day?
The truck driver would deliver 105 packages in a 7 hours day
What is an equation?An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.
Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:
y - 15 = [(60-15)/(4-1)](x - 1)
y = 15x
For a 7 hour day (x = 7):
y = 15(7) = 105
The driver would deliver 105 packages in 7 hours
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Please i need the answer fast k12
(A) The range and IQR for boxplot 1 is 10 and 6 respectively.
(B) The range and IQR for boxplot 2 is 12 and 7 respectively.
What is the IQR?The interquartile range defines the difference between the third and the first quartile.
The formula for the interquartile range is given below.
Interquartile range = Upper Quartile – Lower Quartile = Q3 – Q1
What is the range?The range is the difference between the lowest and highest values.
The formula for the interquartile range is given below.
Range = Maximum – Minimum
(A) For boxplot 1, we need to find the range and IQR from the given data set.
So, let 34 be the maximum and 24 be the minimum.
\(\text{Range}=\sf 34-24\)
\(\text{Range}=\sf10\)
Therefore, the range is 10.
Now time to find the IQR.
So, let 33 be Q3 and 27 be Q1.
\(\text{IQR}=\sf 33-27\)
\(\text{IQR}=\sf 6\)
Therefore, the IQR is 6.
(B) Now for boxplot 2, we will do the same thing as from part A.
Let's find the range.
So, let 24 be the maximum and 12 be the minimum.
\(\text{Range}=\sf 24-12\)
\(\text{Range}=\sf12\)
Hence, the range is 12.
Now for the IQR.
So, let 22 be Q3 and 15 be Q1.
\(\text{IQR}=\sf 22-15\)
\(\text{IQR}=\sf 7\)
Hence, the IQR is 7.
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Exit Ticket
A student number for a high school requires that student identification number consist of 6
characters. The first 4 characters can be any number without restriction. The last 2 characters are
letters and can- not repeat. How many student ID's are possible?
Answer:
There are 6,500,000 possible student IDs
Step-by-step explanation:
Berry, we want to calculate the number of possible student ID’s
The numbers to choose from are;
0 1 2 3 4 5 6 7 8 9 - Ten numbers
and 26 alphabets
For the first digit - there are 10 choices
Second digits - 10 choices
Third digit - 10 choices
Fourth digit - 10 choices
1st Alphabet - 26 choices
2nd Alphabet- we can choose all other alphabets aside the one chosen at first and that leaves us with 25 choices
So, the number of possible student ID will be;
10 * 10 * 10 * 10 * 25 * 26 = 6,500,000
The histogram below gives the distribution of test scores for a sample of
students in a school in Alaska. Approximately how many students received a
score between 70.5 and 80?
Answer:
The correct answer is B.
Approximately 200 students received a test score between 70.5 and 80.
a diver has to dive a depth of 200.2 ft go study
Answer:
The Diver has to dive 20.02 ft at every interval.
Step-by-step explanation:
10 intervals → 200.2
1 interval → 200.2/10
1 interval → 20.02
Linda inherited an estate worth $225,000. The attorney told her that the inheritance tax was 7% and that they would deduct it from the estate before giving her the money. How much money will Linda receive?
(a) $223,425
(b) $209,250
(c) $135,000
(d) $15,750
The inheritance tax is calculated as a percentage of the value of the estate that exceeds an exemption amount. The exemption amount varies by state and can range from $0 to $5.93 million in 2021 for federal estate tax purposes.
In Linda’s case, the inheritance tax is 7% of the estate worth $225,000. Therefore, the amount of money Linda will receive is calculated as follows:
$225,000 - (7% x $225,000) = $209,250
So the answer is (b) $209,250.
I hope that helps! Let me know if you have any other questions.