Edith is balancing her lawn care business’ check registry. Her initial balance was $5,850.25. She deposited a check for $45.00 and a check for $55.50. Edith then purchased a new rake for $32.65 and spent $17.50 on gas for the lawn mower. What is the balance after the deposits and purchases? $5,900.60 $5,699.60 $150.65 $6,000.90
Answers
$5850.25+45.00+55.50-32.65-17.50
Related Questions
Consider a variant of the hamburger and figs example from class. Rachel has $50 in income, the price per hamburger is $3 and the price per bag of figs is $2. a) Write out an expression for Rachel's budget line. Sketch a graph, with hamburgers on the x axis. b) Suppose the price of figs increases to $3. Write out the new budget line equation and illustrate in your graph. c) Suppose income is $50, the price per hamburger is $3 and the price per bag of figs is $3. Rachel also receives $10 in cash from a friend. Write out a new budget line equation and illustrate in a graph. d) Suppose income is $50, the price per hamburger is $3 and the price per bag of figs is $3. Instead of cash, Rachel's friend gives her a gift basket containing 3 free bags of figs. Sketch Rachel's new budget line? Has the slope of the budget line changed? Can you write out a new budget line equation?
Answers
a. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis. b. the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.
a) Rachel's budget line equation can be written as follows:
Budget = (Price of Hamburger * Quantity of Hamburgers) + (Price of Figs * Quantity of Figs)
Since the price per hamburger is $3 and the price per bag of figs is $2, the equation becomes:
Budget = 3x + 2y
Where x represents the quantity of hamburgers and y represents the quantity of bags of figs. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis.
b) If the price of figs increases to $3, the new budget line equation becomes:
Budget = 3x + 3y
The graph of the new budget line would show a steeper slope compared to the original budget line. This indicates that the relative price of figs has increased, making them relatively more expensive compared to hamburgers.
c) In this scenario, Rachel has an income of $50, the price per hamburger is $3, the price per bag of figs is $3, and she receives an additional $10 in cash from a friend. The new budget line equation can be written as:
Budget = (3x + 3y) + 10
The graph of the new budget line would shift upward parallel to the original budget line. The additional cash from Rachel's friend increases her purchasing power, allowing her to afford more hamburgers and/or bags of figs.
d) Now, Rachel's friend gives her a gift basket containing 3 free bags of figs. In this case, the budget line equation remains the same as in part c:
Budget = (3x + 3y) + 10
However, since Rachel receives 3 free bags of figs, she can allocate more of her budget towards purchasing hamburgers. This would cause the budget line to rotate outward from the y-intercept, resulting in a flatter slope. The new budget line would reflect Rachel's ability to purchase more hamburgers with the same income and price of figs.
In summary, the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.
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Dystopia county has three bridges. In the next year, the Elder bridge has a 18% the probability that exactly one of these bridges will collapse in the next year? (R x Additional Materials ollapse, the Younger bridge has a 6% chance of collapse, and the Ancient bridge has a 28% chance of collapse. What is final answer to four decimal places. Do not round intermediate calculations.)
Answers
The probability that exactly one of the bridges will collapse in the next year in Dystopia county is 0.2988 (rounded to four decimal places).
To calculate the probability of exactly one bridge collapsing, we need to consider the probabilities of each bridge collapsing and not collapsing. Let E, Y, and A represent the events of the Elder, Younger, and Ancient bridges collapsing, respectively.
The probability of exactly one bridge collapsing can be found by considering three cases:
Only the Elder bridge collapses: P(E) * P(Y') * P(A') = 0.18 * (1 - 0.06) * (1 - 0.28) = 0.18 * 0.94 * 0.72.
Only the Younger bridge collapses: P(Y) * P(E') * P(A') = 0.06 * (1 - 0.18) * (1 - 0.28) = 0.06 * 0.82 * 0.72.
Only the Ancient bridge collapses: P(A) * P(E') * P(Y') = 0.28 * (1 - 0.18) * (1 - 0.06) = 0.28 * 0.82 * 0.94.
Summing up the probabilities from these three cases gives the total probability of exactly one bridge collapsing: 0.18 * 0.94 * 0.72 + 0.06 * 0.82 * 0.72 + 0.28 * 0.82 * 0.94 ≈ 0.2988.
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Sloane kicked a soccer ball off the ground at a speed of 48 feet per second. The height of the ball can be represented by the function H(t) = −16t2 + 48t, where t is the time in seconds. How many seconds did the ball travel before returning the ground?
Answers
If the speed of the ball after kicking is 48 feet per second then the ball will return on the ground after 3 seconds.
Given that the speed of the ball after kicking is 48 feet per second and the function that represents the height of the ball is \(-16t^{2} +48t\).
We are required to find the time that the ball took to travel before returning the ground.
We know that speed is the distance a thing covers in a particular time period.
The height of the ball after t seconds is as follows:
h(t)=\(-16t^{2} +48t\)
It is at ground at the instants of t.
Hence,
\(-16t^{2} +48t\)=0
-16t(t-3)=0
We want value of t different of 0, hence :
t-3=0
t=3.
Hence if the speed of the ball after kicking is 48 feet per second then the ball will return on the ground after 3 seconds.
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Answer:
B. t=3
Step-by-step explanation:
i took the test and got it right
Given the supply of a commodity, x, and the price of a commodity, y, would you expect a positive correlation, a negative correlation, or no correlation?
A. no correlation
B. positive correlation
C. negative correlation **
Answers
The expected correlation between the supply of a commodity (x) and the price of a commodity (y) depends on the nature of the commodity and market dynamics. However, in general, we would expect a **negative correlation** between the supply of a commodity and its price. Correct option is C.
The law of supply states that as the supply of a commodity increases, assuming demand remains constant, the price tends to decrease. This is because an increase in supply leads to a higher quantity of the commodity available in the market, potentially causing an excess supply or surplus. In such situations, suppliers may lower prices to attract buyers and reduce their inventory.
Conversely, when the supply of a commodity decreases, assuming demand remains constant, the price tends to increase. A decrease in supply results in a lower quantity available in the market, potentially leading to a scarcity or shortage. In such scenarios, suppliers may increase prices to maximize their profits due to the limited availability of the commodity.
It's important to note that real-world markets can be influenced by various factors, including changes in demand, production costs, technological advancements, government policies, and market competition, which can complicate the relationship between supply and price. Nonetheless, the general expectation is that a decrease in supply tends to lead to an increase in price, and an increase in supply tends to lead to a decrease in price, indicating a negative correlation.
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What is the image of (8, -12) after a dilation by a scale factor of 1/4 centered at the origin?
Answers
Answer: (2, -3)
Step-by-step explanation:
To get these points, you just need to multiply the coordinates by 1/4, or divide by 4
Solve the system using a matrix.
4x +
2y = 12
3x - y = -16
([?],[ ]
Answers
☁️ Answer ☁️
(-2, 10)
Hope it helps.
Have a nice day noona/hyung ￣▽￣
how many feet can you park from a fire hydrant in nj
Answers
Answer:
Within 10 feet of a fire hydrant
Step-by-step explanation:
Answer:
10 feet.
Step-by-step explanation:
What is:
5+5(5-5•5)-5 = ?
Answers
Answer:
-100
Step-by-step explanation:
= 10 (5 - 25) - 5
= 10 (-20) - 5
= (-2000) - 5
= -2005
2(3x+4)=4x+12 i don’t understand please help me
Answers
Answer:X=2
Step-by-step explanation:first you simplify the left side by multiplying the 2 with both numbers which gets you 6x+8=4x+12 then you can subtract 8 from 12 which gets you 6x=4x+4 then you subtract 4x from 6x which then gets you to 2x=4 and finally you divide the 2 from the 4 to get X alone which then gets you the answer of x= 2
Answer:
2
Step-by-step explanation:
2(3x +4)=4x +12
6x +8=4x +12
6x - 4x =12-8
2x=4
x=4:2
x=2
Jim has 44 nickels and dimes. The total amount of money is $2. 95. How many nickels does he have?
Answers
Answer:
44
Step-by-step explanation:
The slope of the line that passes through the point (2,4) and (3,8)is
Answers
Answer:
4
Step-by-step explanation:
x1 = 2, y1 = 4
x2 = 3, y2 = 8
from, (y2-y1)/(x2-x1) = m
m = (8-4)/(3-2)
m = 4/1
m = 4
Therefore, the slope of the line is 4
Algebraic expressions the quotient of thirty and a number a answer please hurry
Answers
The algebraic expression for the quotient of thirty and a number is 30 x, where x is the number.
The quotient of thirty and a number a is written as the algebraic expression 30/a. The division operation is indicated by a slash (/), which separates the numerator and denominator. A mathematical expression containing numbers, variables, and arithmetic operations is known as an algebraic expression.
It may also contain exponents, radicals, and other mathematical symbols. An algebraic expression is a combination of one or more terms, each of which can be a constant or a variable multiplied by a constant.
The quotient is a number that results from dividing one number by another. It is the answer to a division problem. In other words, if a number is divided by another number, the quotient is the result of that division. It can also be expressed as a fraction, which represents the division operation.
Example of an algebraic expression with a quotient The algebraic expression 30/a is an example of an expression with a quotient. The expression means that 30 is being divided by a, which is an unknown number.
The quotient, or result of the division, is represented by 30/a. The expression can be simplified or evaluated further depending on the context of the problem.
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During the rebuilding after World War II, we were short of tractors. The machine and tractor stations would lend each other equipment as needed. Three machine and tractor stations were neighbors. The first lent the second and third as many tractors as they each already had. A few months later, the second lent the first and third as many as they each had. Still later, the third lent the first and second as many as they each already had. Each station now had 24 tractors.
How many tractors did each station originally have?
Answers
The number of tractors lent by the first, second and third stations results in a system of three simultaneous equations which indicates;
The first originally station had 39 tractors, the second station had 21 tractors and the third station originally had 12 tractors
What are simultaneous equations?Simultaneous equations are a set of two or more equations that have common variables.
Let x represent the number of tractors at the first station, let y represent the number of tractors at the second tractor station, and let z, represent the number of tractors at the third tractor station
According to the details in the question, after the first transaction, we get
Number of tractors at the first station = x - y - z
Number of tractors at the second station = y + y = 2·y
Number of tractors at the third station = z + z = 2·z
After the second transaction, we get;
Number of tractors at the first station = 2·x - 2·y - 2·z
Number of tractors at the second station = 2·y - (x - y - z) - 2·z = 3·y - x - z
Number of tractors at the third station = 2·z + 2·z = 4·z
After the third transaction, we get;
Number of tractors at the first station = 2 × (2·x - 2·y - 2·z) = 4·x - 4·y - 4·z
Number of tractors at the second tractor station = 6·y - 2·x - 2·z
Number of tractors at the third tractor station = 4·z - (2·x - 2·y - 2·z) - (3·y - x - z) = 7·z - x - y
The three equations after the third transaction are therefore;
4·x - 4·y - 4·z = 24...(1)
6·y - 2·x - 2·z = 24...(2)
7·z - x - y = 24...(3)
Multiplying equation (2) by 2 and subtracting equation (1) from the result we get;
12·y - 4·x - 4·z - (4·x - 4·y - 4·z) = 16·y - 8·x = 48 - 24 = 24
16·y - 8·x = 24...(4)
Multiplying equation (3) by 2 and multiplying equation (2) by 7, then adding both results, we get;
14·z - 2·x - 2·y = 48
42·y - 14·x - 14·z = 168
42·y - 14·x - 14·z + (14·z - 2·x - 2·y) = 48 + 168
40·y - 16·x = 216...(5)
Multiplying equation (4) by 2 and then subtracting the result from equation (5), we get;
40·y - 16·x - (32·y - 16·x) = 216 - 48 = 168
8·y = 168
y = 168/8 = 21
The number of tractors initially at the second station, y = 21
16·y - 8·x = 24, therefore, 16 × 21 - 8·x = 24
8·x = 16 × 21 - 24 = 312
x = 312 ÷ 8 = 39
The number of tractors initially at the first station, x = 39
7·z - x - y = 24, therefore, 7·z - 39 - 21 = 24
7·z = 24 + 39 + 21 = 84
z = 84/7 = 12
The number of tractors initially at the third station, z = 12
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In APQR, the measure of R=90°, the measure of Z=7°, and Q= 9.4 feet. Find the
length of QR to the nearest tenth of a foot.
Answers
Answer:
i m insha i no the z=7and jehdbxh jsjzhwj
dj dad nen
UNIT RATE TRUE OR FALSE HELP ME!!!
Answers
Answer:
False
Step-by-step explanation:
This is not a unit rate because neither of the rates are equal to 1. A unit rate, for example, could be 25 ft per second.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
The limit represents f′(c) for a function f(x) and a number c. Find f(x) and c. limx→258x−40/x−25 f(x)= ___ c=__
Answers
The 11th term of the arithmetic sequence is 34. Hence, the correct option is C.
To find the 11th term of an arithmetic sequence, you can use the formula:
nth term = first term + (n - 1) * difference
Given that the first term is -6 and the difference is 4, we can substitute these values into the formula:
We may enter these numbers into the formula as follows given that the first term is -6 and the difference is 4.
11th term = -6 + (11 - 1) * 4
= -6 + 10 * 4
= -6 + 40
= 34
Therefore, the 11th term of the arithmetic sequence is 34. Hence, the correct option is C.
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What is EG?
I need help
Answers
Answer:
30
Step-by-step explanation:
y/x = 30/(x + 10)
(y + 12)/x = 54/(x + 10)
y/x + 12/x = 54/(x + 10)
30/(x + 10) + 12/x = 54/(x + 10)
30x + 12(x + 10) = 54x
30x + 12x + 120 = 54x
120 = 12x
x = 10
EG = x + x + 10
EG = 10 + 10 + 10
EG = 30
a.) Find h(g(x)) if
h(x)= 2x+9
and
g(x) = 4*
Answers
Answer:
h(4)=17
Step-by-step explanation:
h(g(x)), h(x)= 2x+9; g(x)=4
2(4)+9= 8+9=17
Expand.
Your answer should be a polynomial in standard form.
(x - 2) (x – 6) =
Answers
Answer:
\(x^{2} -8x+12\)
Step-by-step explanation:
im pretty sure its this smack me if im wrong
Write the linear equation for this table.
Answers
Answer:
its A
Step-by-step explanation:
A bookstore sells four non-fiction books for every 12 fiction books sold. How many fiction
books will the bookstore sell if they sell 7 non-fiction books. (HINT: Use unit rates to find
your answer)
Answers
Answer: the bookstore has sold 84 fiction books
Step-by-step explanation:
multiply 12 by 7 and get your answer:)
solve the following system
6x-3y=15
x+3y=-8
Answers
This system can be solved for x by elimination.
\(6x - 3y = 15\\ x + 3y = -8\\\\7x = 7\\\\x = 1\)
Now, with what we found for x, we plug it back into one of the equations to solve for y. I chose the second one.
\(1 + 3y = -8\\\\3y = -9\\\\y = -3\)
Now, we have our solution.
\((1, -3)\)
Answer:
(1,-3)
Step-by-step explanation:
6x-3y=15
substitute x with 1 and y with -3
6(1)-3(-3)=15
6+9=15 so that's true
x+3y=-8
again substitute x with 1 and y with -3
(1)+3(-3)= -8
1-9=-8
-8=-8 and that's true
hope i helped
HELP ME PLEASEE ASAP!!!! PLEASEE
Answers
Answer:
B is the correct option.
Hope it helps!!!
120 = 4x + 20
100 = 4x
25 = x
The angle = 180 - 60 = 120
Put the steps in correct order for the equation Solve 3(2x−7)+5=−19
Answers
Answer:
6x-21+5 = -19 Distribute
6x-16 = -19 Combine like terms
6x = -3 Add
x = -1/2 Division
Answer: x=-1/2 in decimal form -0.500
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*(2*x-7)+5-(-19)=0
3 • (2x - 7) + 5) - -19 = 0
Pull out like factors :
6x + 3 = 3 • (2x + 1)
Solve : 2x+1 = 0
Subtract 1 from both sides of the equation :
2x = -1
Divide both sides of the equation by 2:
x = -1/2 = -0.500
x = 8 – 2y x + 3y = 12 What value of x satisfies the system of equations?
Answers
Answer: its 0 of 4 you can pick but i think its 4
Step-by-step explanion: i am not good at explaning this math but i know the answer
Can someone please help me with this problem?
Answers
Answer: 18/9 if not it's something along that-
Step-by-step explanation:
7^2 = 49 so like 49-31 equals 18 and the denominator 3^2 = 9 , so if it's not 18/9 then it's like 1/2 or something bc 9 + 9 is 18 yk-
Sonya found that x = StartFraction negative 4 Over 3 EndFraction is one solution of (6x + 4)2
Answers
Answer:
(6x+4)^2=16; x=0
Step-by-step explanation:
Answer:
It's 16 and 0
Step-by-step explanation:
It's the 4th and 1st answer on Edge
Find the next three terms of the arithmetic sequence.
10, 13, 16, 19
Answers
Answer:
22, 25, 28
Step-by-step explanation:
10 + 3 = 13
13 + 3 = 16
16 + 3 = 19
19 + 3 = 22
22 + 3 = 25
25 + 3 = 28.
all numbers go up by three points
How many sides does a regular polygon have when each side is 30 degrees
Answers
The total number of sides of a regular polygon with each exterior angle of measure 30 degrees is equal to 12.
Let us consider 'n' be the number of sides of the regular polygon.
Let 'y' be the measure of each of the exterior angle of regular polygon.
y = 30 degrees
Measure of each of the exterior angle of regular polygon 'y'
= ( 360° ) / n
⇒ n = ( 360° / y )
Substitute the value we get,
⇒ n = ( 360° / 30° )
⇒ n = 12
Therefore, the number of sides of a regular polygon with each of the exterior angle 30 degrees is equal to 12.
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The above question is incomplete, the complete question is:
How many sides does a regular polygon have when each exterior angle measures 30 degrees?
can you help me please
Answers
Answer:
5.
A) 1:2
6.
D) 9 min
Plz make brainlest, THESE ARE THE CORRECT ANSWERRRRSS!
Step-by-step explanation:
5. 12:24
reduce to get 1:2
6. 225/25= 9 min