Answer: y = 8x + 9
Step-by-step explanation: Descartes begins with only $9.00, so 9 is the y-intercept. He makes $8.00 every hour, so that is the slope.
y = mx + b
m is the slope, and b is the y-intercept.
y=8x + 9
The expression that represents the given situation is y = $49.
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now it isgiven that,
Descartes has Money = $9
Each hour earning = $8
Total time of work = 5 hours
So, total money earned in 5 hours = 8*5 = $40
Let y be the total money Descartes has.
So total money Descartes has = Money + total money earned in 5 hours
⇒ y = $9 + $40
⇒ y = $49
This is the required expression for the present situation.
Thus, The expression that represents the given situation is y = $49.
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Question
The value of y varies directly as a, and y = 2 when x = 8. Find the equation represents this relationship.
Optionally you can replace 0.25 with the fraction 1/4
===================================================
Explanation:
The variable y varies directly with x, which means we have the template of y = kx for some constant k.
Plug in x = 8 and y = 2. Then solve for k
y = kx
2 = k*8
8k = 2
k = 2/8
k = 1/4
k = 0.25
Therefore, we go from y = kx to y = 0.25x
-------------
Check:
Plugging in x = 8 should get us to y = 2
y = 0.25x
y = 0.25*8
y = 2
The answer is confirmed.
Which of the following characteristics is not associated a general journal
The characteristics which is not associated a general journal is that transactions are ordered from greatest to smallest.
Given that four options which are as under:
1) Transactions are ordered from greatest to smallest,
2) It is used daily to record transactions,
3) Events are listed in chronological order,
4) The amount credited equals the amount debited.
We are required to choose the correct option which is not a characteristics of general journal.
A general journal is basically an initial record-keeping that records all the transactions except those recorded in a specialty journal like a cash journal, purchase journal, etc.
The option which is correct is option a which tells that transactions are ordered from greatest to smallest.
Hence the characteristics which is not associated a general journal is that transactions are ordered from greatest to smallest.
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Question is incomplete. It should include the following options:
1) Transactions are ordered from greatest to smallest,
2) It is used daily to record transactions,
3) Events are listed in chronological order,
4) The amount credited equals the amount debited.
Please help I’m about to lose it!!!
Calculate the distance between the points N=(-8, -2) and C= (-3, 1) in the coordinate plane
Give an exact answer (not a decimal approximation).
34 is incorrect
Answer: 8
Step-by-step explanation:
starting from the x coordinates, -8 and -3, subtract them and get 5. Moving on to the y coordinates, -2 and 1, you add 2 and 1 to get 3. In total after adding 5 and 3 you get 8. When the coordinates (that are in the same spot) are the same, you are subtract. But when they are different, you add. Sorry if this is confusing! But in the end, 8 is he answer.
If lineman works 9-
hours a day on a certain job at $26.00 per hour, what is the pay for a day?
Answer:
234$
Step-by-step explanation:
9x26=234
There are 8 adults in line for a ride. The line has 4 fewer children than adults. How many people are in line? Explain your answer.
Answer:
12 People
Step-by-step explanation:
To start you have 8 people for sure. Then you know that there are 4 fewer children. So then you subtract 4 from 8 and get four. Four plus eight is twelve!
The number of people in line will be 12.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
There are 8 adults in line for a ride. The line has 4 fewer children than adults. Then the number of children will be
⇒ 8 - 4
⇒ 4 children
Then the number of people in line will be
⇒ 8 + 4
⇒ 12
The number of people in line will be 12.
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Which of the following is a valid claim based on the graph?
Time Spent Studying for
Math Mid-Term Exam
il..
Sandra Evan
Marie Ted Jose
Students
OA. Marie finds math easier than the other students.
Time (in hours)
O B. Marie had another test to study for the same night.
4
OC. Evan received the highest score on the exam.
O D. Evan studied twice as long as Ted.
A valid claim based on the graph is that: D. Evan studied twice as long as Ted.
What is a graph?A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
By critically observing the graph (see attachment), we can logically deduce the following data points:
Sandra's study time, S = 4 hours.Evan's study time, E = 6 hoursMarie's study time, M = 1 hour.Ted's study time, T = 3 hours.Jose's study time, J = 4 hours.From the information provided, we have the following true statements:
S = T
E = 2T
In conclusion, we can reasonably infer and logically deduce that a valid claim based on the graph is that Evan studied twice as long as Ted.
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4) Joe took 15 small erasers and placed them on his
rectangular desk What is one way you could describe
how Joe could place the erasers in an array. Then write
the multiplication fact for it.
Joe could arrange the eraser in an array by placing 5 rows of 3 erasers each. The multiplication fact for this representation in an array is given by 5 × 3 .
A group of numbers or objects that will follow a predetermined pattern are referred to as an array in mathematics.
An array is a systematic arrangement, frequently in rows, columns, or a matrix, that is most frequently used as a visual aid for multiplying and dividing numbers.A matrix is a rectangular array or table with rows and columns of numbers, symbols, or expressions that is used to represent a mathematical object or an attribute of one.Here Joe has 15 eraser and he placed them on his rectangular bench.
Assuming that the erasers are all uniform , Joe placed them on the bench in an array of 5 rows each containing 3 erasers.
The multiplication fact for this representation in an array is given by
5 × 3 .
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3. An object is dropped from a 450-meter tower. The height of the falling object is given
by y(t) = 450-4.9t2, with height y in meters and time t in seconds.
(a) Use the basic derivative rules to compute y' (2).
Using basic derivative rules the value of y' (2) is 19.6 .
Derivative rules in calculus square measure accustomed realize the derivatives of various operations and differing types of functions like power functions, exponent functions, exponential functions, etc. Some vital spin off rules are:Power Rule ,Sum/Difference Rule ,Product Rule ,Quotient Rule,Chain Rule The power rule of derivatives says d/dx (xⁿ) = nxⁿ⁻¹We have given a function of t y(t) = 450-4.9t².
On differentiating with respect t , we get
y'(t) = 2 × 4.9t
y'(t) = 9.8 t ......(1)
Putting t = 2 in equation (1) , we get
y'(2) = 9.8 × 2
= 19.6
Hence , value of y'(2) is 19.6
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HELP ME OUT PLEASE!!!
What does the slope represent?
Answer:
there is a change of 2* per hour
Step-by-step explanation:
Answer:
The slope is 2
Step-by-step explanation:
Slope is rise/run
4/2=2
_____= 240 mL
Group of answer choices
4 oz
4 pints
1 cup
8 drams
The volume 240 ml to oz is 8 oz.
How to find volume in different units?The volume is in millilitres. Therefore, we have to convert to other units.
1 ml = 0.033814 oz
1 ml = 0.00175975 pints
1 ml = 0.00422675 cup
1 ml = 0.57 grams
Hence, lets convert the volume to the various units.
1 ml = 0.033814 oz
240 ml = ?
cross multiply
volume = 240 × 0.033814 = 8.11536 oz = 8 oz
1 ml = 0.00175975 pints
240ml = ?
volume = 0.00175975 × 240 = 0.42216 = 0.4 pints
1 ml = 0.00422675 cup
240 ml = ?
volume = 0.00422675 × 240 = 10.1442 cups
1 ml = 0.57 grams
240 ml = ?
volume = 0.57 × 240 = 136.8 grams
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The perimeter of the rectangle shown below is 23 feet. What is the missing side length
Answer:
If you could take a picture of the rectangle I could help you answer that. I can't see the rectangle.
let f(x)= |x-4| +1. write a function g whose graph is a vertical shrink of the graph of f by a factor of 1/3
The function g(x) is (|x-4| +1)/3.
In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.The relationships between two or more items are frequently represented by the points on a graph.The graph is compressed vertically, or shrunk, in the direction of the x-axis. If k > 1, the graph of y = k*f (x) is the graph of f (x) that has had each of its y-coordinates extended vertically by the factor k.The function f(x) is defined as |x-4| +1. To vertically shrink the graph of f(x) by a factor of 3, divide the function by 3.g(x) = f(x)/3g(x) is equal to (|x-4| +1)/3.To learn more about functions, visit :
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Erin charged $900 on the current credit card this billing cycle. Erin pays $300 towards the balance by the due date, but is unable to pay the remaining $600. The balance of $600 carries over to the next billing cycle, but he must pay interest on this amount as well. If the APR is 15%, how much interest will be added to the payment for the next billing cycle?
$690 is the next bill payment will be added for the next billing cycle.
What is rate of interest ?
An interest rate tells you how high the cost of borrowing is, or high the rewards are for saving. So, if you're a borrower, the interest rate is the amount you are charged for borrowing money, shown as a percentage of the total amount of the loan.
Total payment charged = $900
amount paid = $300
amount remained = $600
APR on $600 = 15%
= 600*15/100
= 600*0.15
= $90
Therefore, in the next bill total amount charged is 600 +90 = $690
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Answer:
7.50
Step-by-step explanation:
Finance Charge =.1512×$600=$7.50
$7.50 will be added to his balance next billing cycle, it is the cost he must pay for borrowing $600 from the credit card company this cycle.
Please help me solve this question. The correct answer will be marked as brainliest
Answer:
No
Step-by-step explanation:
The largest number would have 6 counters in the 10s and the remainder the in the 1s column making the number 63 which is greater than 51.111
Stretched 1 cm beyond its natural length, a rubber band exerts a restoring force of magnitude 2 newtons. Assuming that Hooke's Law applies, answer the following questions:
(a) How far will a force of 3 newtons stretch the rubber band?
(b) How much work does it take to stretch the rubber band this far?
A) The distance that a force of 3 newtons would stretch the rubber band is; 0.015 m
B) The amount of work it takes to stretch the rubber band this far is; 0.0225 J
How to solve Hooke's Law?
From Hookes's law, as long as the elastic limit is not exceeded the extension is directly proportional to the force applied.
F = Ke
Where;
F = force
K = force constant
e = extension
Thus, for a restoring force of magnitude 2 newtons ;
2 N = K(1 × 10⁻²) m
K = 2 N /(1 × 10⁻²) m
K = 200 N/m
a) For a force of 3 newtons, we have;
3N = 200 N/m × a
Where a is the extension in meters
a = 3N/200 N/m
a = 0.015 m
b) The formula to find the work done is;
P.E = ¹/₂Ke²
P.E = ¹/₂ * 200 * 0.015²
P.E = 0.0225 J
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For the universal set, u= (5, 6, 7, 8, 9) , complete the parts below.
Write your answers in roster form or as .
Given the subset A, the complement of A, A' is {6}
Given the complement of C, C is {5, 7, 9}
What are the answers in roster form?The universal set contains all the elements of the subsets. ' means complement = it means elements that are not in the subset but in the universal set.
To write a set in a roster form, the elements in the set are written in a row within curly brackets - { }. The elements in the set are then separated by commas.
A' = {6}
C = {5, 7, 9}
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Need help with this paper please
Answer:
Step-by-step explanation:
Use the given graph of f to find a number such that if 0 < |x − 3| < then |f(x) − 2| < 0.5.
Answer:
x=3, = -2
Step-by-step explanation:
9. Use the following data. 15, 24, 32, 46, 46, 58. Match the measures on the left with the values on the right.
1. median
2. mode
3. mean
4. range
An athlete is throwing a javelin on an open field, and the image below shows the path, or arc of the javelin's
path, on its journey from his hand to the ground. The path is measured in feet. This example is modeled
by a quadratic function. What are the domain and range of the function, and what do they represent?
Total path coered by the javelin in horizontal direction is domain
Maximum height achieved by the javelin is its range
The polynomial equations of degree two in one variable of type f(x) = ax² + bx + c = 0 and with a, b, c, and R R and a 0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" for the absolute term of f(x). The roots of the quadratic equation are the values of x that fulfill the equation (α,β ).
It is a given that the quadratic equation has two roots. Roots might have either a real or imaginary nature.
Total path coered by the javelin in horizontal direction is domain
Maximum height achieved by the javelin is its range
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Find the perimeter and are of the trapezoid
Answer:
47.7ft
Step-by-step explanation:
12.8ft+6.2ft+13.9ft+15.5ft=47.7ft
Find the length of AD. Round the answer to the nearest hundredth.
A. 5
B. 5.1
C. 5.42
D. 6.23
Answer: C 5.42
Step-by-step explanation:
7/5 fracción simplificada
Answer:
1,4
Step-by-step explanation:
7/5
Esto es una división, solo divide y ya
Describe the end behavior of each polynomial.
(a) The leading coefficient is positive and the degree is odd, so:
As x approaches infinity, y approaches infinity.As x approaches negative infinity, y approaches negative infinity.(b) The leading coefficient is negative and the degree is even, so:
As x approaches infinity, y approaches negative infinity.As x approaches negative infinity, y approaches negative infinity.emiah The length of a ruler is 12 inches. There are approximately 25.4 millimeters in 1 inch. Which measurement is closest to the length of the ruler in millimeters? A 3,048 mm B 30.48 mm C304.8 mm D 3.048 mm
Answer:
C 304.8
Step-by-step explanation:
Answer:
C 304.8 mm
Step-by-step explanation:
12*25.4 = 304.8
An oatmeal cookie recipe calls for 1/3 cup of butter to make 12 cookies. Hilda needs to make 36 cookies for the bake sale. How many cups of butter will she need?
Answer:3/3 cup or 1 full cup
Step-by-step explanation:1/3 cup=12
2/3 cup=24
3/3 or 1 whole cup=36
Debra bought 1.025 pounds of ham and 1.143 pounds of turkey. Each pound of ham and turkey costs $5.00. How much did Debra spend?
Answer:
10.84
Step-by-step explanation:
1.025*5+1.143*5=10.84
150 is 96 percent of what number
Answer:
Step-by-step explanation:
Comment
Let the unknown number = x
You should try and figure out if x is bigger than 150 or less than 150.
The equation will tell you.
96/100 * x = 150 96/100 = .96 So you will get something larger than 150 for x
Combine
96/100 = 0.96
Equation
.96*x = 150 Divide by 0.946
.96x/.96 = 150/0.96
Answer
x = 156.25
And as predicted, the answer is larger than 150, because you were dividing by a number less than 1
Solve for x
|4x + 7| + 9 = 6
Add -9 to both sides.
|4x+7|+9+−9=6+−9|4x+7|=−3Solve Absolute Value.
|4x+7|=−3No solutions. (Absolute value cannot be less than 0.)
Skandar
The line of reflection is the y-axis.
True
False
Answer: True :)
Step-by-step explanation: