4. Liam can work at most 20 hours a week but he needs to earn at least $125. His dog-walking job pays
$7 per hour and his job as a car-wash attendant pays $11 dollars an hour. How can he earn $125?
Graph a system of linear inequalities that represents this situation. Using the graph, what are two
possible solutions to the system of inequalities?
Answers
Two possible solutions are: (4.5, 8.5) and (8, 6.3)
How to graph the inequality?Let x represents hours dog walking and y represents hours washing cars.
So, we have:
Earnings = Rate of dog walk * x + Rate of car wash * y
This gives
Earnings = 7x + 11y
He wants to earn at least $125.
This means that:
7x + 11y ≥ 125
See attachment for the graph of the inequality
From the attached graph, two possible solutions are: (4.5, 8.5) and (8, 6.3)
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Related Questions
If j is 53 degrees and l is 29 how much is k?
Answers
Answer:
98
Step-by-step explanation:
There are 180 degrees in a triangle.
180 - 53 - 29 = 98
Lola needs to sign 96 invitations. Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3 seconds to sign her full name. Going by the accuracy of the stopwatch, which is the most accurate determination for the number of seconds Lola needs to sign all 96 invitations?
Answers
The time needed by Lola to sign all the 96 invitations is 508.8 second
What is a Product ?Product is the number obtained when two numbers are multiplied with each other
It is given that
Total Invitations that Lola needs to sign = 96
Time taken to sign full name = 5.3 seconds
Total time needed by Lola to sign invitations is
96 * 5.3
= 508.8 seconds
Therefore the time needed by Lola to sign all the 96 invitations is 508.8 second
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Choose the congruence theorem that you would use to prove the triangles congruent.
AAS
SAS
ASA
SSS
Answers
Answer:
C) ASA
Step-by-step explanation:
From the diagram we can see:
The triangles have two congruent angles and one congruent side which is between those two angles.
It means the triangles are congruent by angle-side-angle or in short ASA theorem.
Correct answer choice is C
En una clase hay 30 alumnos. Las 3/5 partes son chicas ¿Cuántas chicas hay?
Answers
Answer:
18
Step-by-step explanation:
30/5=6
6*3=18
It takes 1.5 seconds for a grandfather clock's pendulum to swing from left (initial position) to right, covering a horizontal distance of 10 inches. which function models the horizontal displacement as a function of time in seconds?
Answers
The function that models the horizontal displacement as a function of time in seconds is y = 5cos(2π/3 x)
How to model the function?The given parameters are:
Time, t = 1.5 secondsHorizontal distance, h = 10 inchesStart by calculating the amplitude, A using:
A = h/2
This gives
A = 10/2
A = 5
Next, we calculate the period using:
B = π/t
This gives
B = π/1.5
Evaluate
B = 2π/3
The pendulum is at the middle.
So, it has no vertical displacement
The function is then represented as:
y = Acos(Bx)
This gives
y = 5cos(2π/3 x)
Hence, the function that models the horizontal displacement as a function of time in seconds is y = 5cos(2π/3 x)
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Hi, can someone help please? Thanks! Calculate the correlation coefficient of the following data
Answers
Answer:
Option C is correct
Correlation coefficient of the following data is 0.37
Step-by-step explanation:
Correlation coefficient formula :
r = Σ [([tex]x - x_{m}[/tex]) × ([tex]y - y_{m}[/tex])] ÷ √ [Σ [tex](x - x_{m})^{2}[/tex] × Σ [tex](y - y_{m}) ^{2}[/tex]]
x = Data points in Data set x
y = Data points in Data set y
[tex]x_{m}[/tex]= Mean of Data set x
[tex]y_{m}[/tex]= Mean of Data set y
Now put all the values and sumation it as of given in the formula
Mean of Data set x = (1+4+8+6+2)÷5 = 21÷5 = 4.2
Mean of Data set y = (16+20+15+22+9)÷5 = 82÷5 = 16.4
Now put the values in the equation
r = Σ [(x - 4.2) × (y - 16.4)] ÷ √ [Σ [tex](x - 4.2)^{2}[/tex] × Σ [tex](y - 16.4) ^{2}[/tex]]
Now put every single value of x and y and after we will get the required Correlation coefficient.
And that is Correlation coefficient of the following data is 0.37
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PLEASE HELP ME!
3 markers cost $5.79 Which proportion would help determine the cost of 13
markers?
A:
13/5.79=x/3
B:
x/13=3/5.79
C:
3/5.79=13/x
D:
13/x=5.79/3
E:
None of the Above
Answers
Answer:
C: 3/5.79=13/x
Step-by-step explanation:
Two ratios are said to be in proportion when the two ratios are equal
3 markers cost $5.79 in which the proportion price is unknown
13 markers cost x
markers / cost = markers / cost
3 / $5.79 = 13 / x
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find x if 2+x = -2/3
Answers
First you want to isolate x by subtracting 2 from -2/3. To do this make sure there is a common denominator of 3 so our equation is now x=-6/3 -2/3 which with regular subtraction is -8/3.
Hope this helps:)
The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 37 hours and the median is 33.2 hours. Twenty-four of the families in the sample turned on the television for 22 hours or less for the week. The 10th percentile of the data is 22 hours. Based on the given information, determine if the following statement is true or false. Approximately 120 families turned on their televisions for less than 37 hours.
Answers
The statement; Approximately 120 families turned on their televisions for less than 37 hours is true.
What is true about the data?From the task content, since the 10% percentile of the data corresponds to 24 families, it.follws that the total number of families sampled is; 24 × 10 = 240 families.
On this note, after the first 120 data points, the median is determined to be 33.2 hours which is less than the mean. Conclusively, it follows that approximately 120 families turned on their televisions for less than 37 hours.
Hence, the statement is true.
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Which is a perfect square?
61
62
63
65
Answers
Answer:
So none of these would be a perfect square but the closet one to it would be 65
Step-by-step explanation:
A company makes 140 bags. 39 of the bags have buttons but no zips. 21 of the bags have zips but no buttons. 23 of the bags have neither zips nor buttons. How many bags have zips on them?
Answers
Subtraction is a mathematical operation that reflects the removal of things from a collection. The number of bags that zips on them is 78.
What is subtraction?Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
Given the number of bags that the company makes is 140. 39 of the bags have buttons but no zips. 21 of the bags have zips but no buttons. 23 of the bags have neither zips nor buttons.
Bags that have both zip and button
= Total number of bags - Number of bags with zips but no buttons - Number of bags with buttons but no zips - Number of bags with nor zips nor the buttons
= 140 - 21 - 39 - 23
= 57
Now, the number of bags that has zips will be the bags that only have zips and the number of bags that has zips and buttons. Therefore, the number of bags with zips is,
n = Bags that have both zip and button + Number of bags with zips but no buttons
= 37 + 21
= 78
Hence, the number of bags that zips on them is 78.
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Answer:
Bags with zip = (bag with button and zip) + (bag with no button but only zip)
i.e.,
Rotal bags – (bags with neither of two + bags with only buttons)
=> 140-(39+23)
=> 140-62
=> 78
So, 78 bags have zips on them.
Find the equation of the line through point (−5,5) and perpendicular to y=59x−4
Answers
Answer:
Step-by-step explanation:
Write the algebraic expression for the following statement.
A number plus 15.
Answers
Answer:
the algebraic expression is; x+15
Solve for w.
w^2-9w+18=0
Answers
Answer:
w = 3 or 6
Step-by-step explanation:
[tex]w {}^{2} - 9w + 18 = 0 \\ w {}^{2} - 6w - 3w + 18 = 0 \\w(w - 6) - 3(w - 6) = 0 \\ w - 3 = 0 \\ w - 6 = 0 \\ w = 3 \: or \: 6[/tex]
Solve the following by completing the square y=x^2+10
Answers
The resulting equation on using the completing the square is y = (x+5)² - 25
Completing the square methodThe quadratic equation has a leading degree of 2. Given the equation below;
y = x^2+10x
Add the square of the half of coefficient of x to have;
y = x^2+10x + (10/2)²- (10/2)²
y = x^2 + 10x + 5² - 5²
y = x^2 + 10x + 25 - 25
y = (x+5)² - 25
Hence the resulting equation on using the completing the square is y = (x+5)² - 25
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[tex] {2}^{5} \div 4 = {2}^{5} \div {2}^{a} = {2}^{b} = c [/tex]
What Does:
a= ?
b= ?
c= ?
Answers
Step-by-step explanation:
please mark me as brainlest
21/√7-5√7/2 solve it
Answers
Answer:
√72
Decimal Form:
1.32287565…
Step-by-step explanation:
To subtract fractions, find the LCD and then combine.
The function below models the correlation between the number of hours a plant is kept in sunlight (x) and the height (y), in mm, to which it grows: y = 4 + 2x What does the slope of this function represent? (1 point) a The original height of the plant was 4 mm. b The original height of the plant was 2 mm. c The height of the plant increases by 2 mm for every hour of sunlight it receives. d The height of the plant increases by 4 mm for every hour of sunlight it receives.
Answers
The correct answer is option C which is the height of the plant increases by 2 mm for every hour of sunlight it receives.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Given equation is as follows:-
y = 4 + 2xHere x is the variable which depends on the amount of sunlight and 4 is the original height of the plant so as the sunlight varies the value of x changes and it increases the height of the plant by 2 mm.
The graph of the equation is also attached with the answer. Therefore the correct answer is option C which is the height of the plant increases by 2 mm for every hour of sunlight it receives.
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For a given interest rate, simple interest varies jointly as principal and time. If $2000 left in an account for 4 yr earned interest of $280, how much interest would be earned in 6 yr?
Answers
$280 / 4 = $70
$70 * 6 = $420
Mandy used the input and output in this table to write ratios. She concluded that because they are not all equivalent, this is not a proportional relationship. Is she correct? Explain.
A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 5, 10. Column 2 is labeled y with entries 5, 10, 25, 50.
StartFraction 5 over 1 EndFraction = StartFraction 10 over 2 EndFraction = StartFraction 25 over 5 EndFraction = StartFraction 10 over 50
Answers
Answer:
The conclusion derived by Mandy is incorrect.
Step-by-step explanation:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value time the other. That constant is known as the "constant of proportionality".
To determine if the input and output are proportional, we simply divide the output (y) by the corresponding input (x).
i.e. Ratio[tex]=\frac{y}{x}[/tex]
So, we have:
[tex]Ratio=\frac{5}{1}=5[/tex]
[tex]Ratio=\frac{10}{2}=5\\ Ratio =\frac{25}{5}=5\\ Ratio=\frac{50}{10} =5[/tex]
For the four input and output data, the ratios are equal. This means that the relationship is proportional.
Hence, Mandy's conclusion is incorrect.
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ratios are equal, so its proportionate Mandy's conclusion is incorrect.
please help
PLEASE
Answers
Answer:
9:6:10
Step-by-step explanation:
Copper: Zinc: Tin= C:Z:T
C:Z:T
3:2
3:5
3x3=9
3x2=6
5x2=10
so, Copper:Zinc: Tin= 9:6:10
How do you factor a^2-b
Answers
Answer:
a
2
−
b
2
Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
a
and
b
=
b
.
Toby has five coins. Three of the coins add up to 30p. Three of the coins add up to 40p. All the coins add up to 50p. List Tony's coins in ascending order of value.
Answers
Tony's coins in ascending order of value will be 5p, 10p, and 15p.
How to depict the information?Based on the information given, the values of the coins will be 5p, 5p, 10p, 15p, and 15p.
In this case, 5p + 10p + 15p = 30p
10p + 15p + 15p = 40p
5p + 5p + 10p + 15p + 15p = 50p
Therefore, Tony's coins in ascending order of value will be 5p, 10p, and 15p.
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Answer:
5p, 5p, 10p, 10p, 20p
Step-by-step explanation:
5p, 5p, 10p, 10p, 20p,
What is the equivalent exponential expression for the radical expression below? √3+7
Answers
Answer:
09 l
Step-by-step explanation:
p0-9
The equivalent exponential expression for the given radical expression √(3 + 7) is √10.
To convert the given radical expression √(3 + 7) into its equivalent exponential expression. This process involves using exponentiation to represent the radical form.
The given radical expression is √(3 + 7). To find its equivalent exponential expression, we need to express the radical in terms of an exponent.
Recall that a radical expression of the form √(a) is equivalent to raising 'a' to the power of 1/2. In this case, 'a' is the quantity inside the radical, which is 3 + 7. So, we can write:
√(3 + 7) = (3 + 7)^(1/2).
Next, we simplify the expression inside the parentheses:
3 + 7 = 10.
Now, the expression becomes:
(10)^(1/2).
To further simplify, we raise 10 to the power of 1/2. Recall that raising a number to the power of 1/2 is the same as finding the square root of that number. So:
(10)^(1/2) = √10.
Therefore, the equivalent exponential expression for the given radical expression √(3 + 7) is √10.
To summarize, we transformed the radical expression √(3 + 7) into its equivalent exponential expression √10 by using the rule that √(a) is equal to a^(1/2). By raising the expression inside the radical to the power of 1/2, we simplified it and found the square root of 10 as the final result.
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can you please help me !! I need help ASAP !!
Answers
Reason:
The line is going uphill as it moves to the right.
write and solve a proportion to complete the statement. Round to the nearest hundredth if necessary.
1. 6km ≈ ?mi
2. 2.5 L≈ ?gal
3. 90lb ≈ ?kg
pls help
Answers
Using proportion, the equivalent units of the following units are as follows:
6km = 3.73 miles2.5 L = 0.66 gallons 90 Ib = 40.82 kgHow to use proportion to find equivalent units?Using proportion,
1.60934 km = 1 miles
6 km = ?
cross multiply
distance(m) = 6 / 1.60934 = 3.7282364199 = 3.73 miles
1 litre = 0.264172 gallons
2.5 litres = ?
volume(gallons) = 2.5 × 0.264172 = 0.66 gallons
1 pounds = 0.453592 kg
90 pounds = ?
weight(kg) = 40.82328 = 40.82 kg
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who is father of math?
Answers
Answer:
Archimedes
Step-by-step explanation:
Archimedes is known as the Father Of Mathematics.
Answer:
Archimedes
Archimedes is known as the Father Of Mathematics
Step-by-step explanation:
simplify -9(5 - 2) - 111÷3 show all work
Answers
Answer:
-64
Step-by-step explanation:
use PEMDAS order : Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)
-9(5 - 2) - 111÷3 =
-9(3) - 111÷3 =
-27 - 111÷3 =
-27 - 37 =
-64
Question 1 of 10
What is the volume of the cylinder below?
A.
168 units3
B.
378 units3
C.
252 units3
D.
288 units3
Answers
The volume of the cylinder shown below is 252πcm³
Volume of a cylinderThe formula for calculating the volume of a cylinder is expressed as:
V = πr²h
where:
r is the radius
h is the height
Given the following
radius = 6 units
height = 7 units
Substitute
V = πr²h
V = π(6)²(7)
V = 252πcm³
Hence the volume of the cylinder shown below is 252πcm³
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a shape is rotated 180 to its origin and then its image s reflected in the y axis describe fully the translation that would have the same result as the two transformation drscribe above
Answers
The single transformation that will cause the same effect as that of these two transformation is the reflection of shape in the x-axis .
(x,y) -----------> (x,−y)
What is Transformation ?The change done to a shape on a coordinate plane by reflection ,translation and rotation is a called Transformation .
It is given that a shape is rotated to its origin
Then its image is reflected in the y axis.
The single transformation that would have the same result as the two transformations is (x,y) to (x,−y)
reflection of shape in x-axis .
The x stays the same, but the y changes sign.)
The change caused by Rotation by 180° about the origin,
(x,y) -------> (−x,−y)
The change caused when reflected in the y-axis,
(x,y) --------> (−x,y)
Therefore the single transformation that will cause the same effect as that of these two transformation is the reflection of shape in the x-axis .
(x,y) -----------> (x,−y)
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