Matt earns $20 for every lawn that he mows.
Part A
Write an equation that can be used to find the total (y), amount Matt will earn after mowing (x) lawns?
Part B
How much will Matt earn if he mows 15 lawns?
Answers
Answer:
20X=Y
so 15 lawns mowed
20×15=300
Related Questions
Which graph shows a linear function?
Answers
Answer:
I this that its the third graph
A man borrowed Rs.7oo for threeyears at a certain rate of interest and Rs 400 for 5 years at the same rate of interest. if he pays a total interest of Rs 246 for both the loans ,find the rate of interest .
Answers
Answer:
6%
Step-by-step explanation:
Explanation is in photo
Given the initial value problem: y' = t y ' (0) = 1 (a) Find the exact solution y(t) and compute y(1) (b) Find the Euler approximation of y on the interval [0, 1] using a step-size h = 0.5. Y
Answers
The given initial value problem's exact solution: y(t) = 1, and thus y(1) = 1. The Euler approximation of y(1) using a step-size h = 0.5 i: y(1) ≈ 1. Given the initial value problem:
y' = ty ' (0)
= 0
We are to determine the exact solution y(t) and compute y(1), and also find the Euler approximation of y on the interval [0, 1] using a step-size h = 0.5 (half step size).
(a) The given initial value problem is a first-order linear differential equation, whose standard form is:
y' + P(t)y = Q(t), where P(t) = 0 and Q(t) = 0. Thus, the integrating factor is:
I(t) = e^∫ P(t)dt
= e^∫ 0 dt
= 1.
The exact solution y(t) is obtained by multiplying both sides of the differential equation by the integrating factor,
I(t) = 1, and integrating:
y' + P(t)y = Q(t) becomes
y' + 0y = 0, which implies
y' = 0.
Hence, y(t) = Ce^0 = C, where C is a constant determined using the initial condition y(0) = 1. Therefore, we have:
C = y(0) = 1.
Hence, the initial value problem's exact solution is y(t) = 1, and thus y(1) = 1.
(b) Euler Approximation of y using step-size h = 0.5We have h = Δt = 0.5, t0 = 0, tn = 1. The number of steps, n, is given by:
n = (tn - t0)/h
n = (1 - 0)/0.5
n = 2.
Therefore, we have two grid points:
t0 = 0, and
t1 = 0 + 0.5
= 0.5
For the Euler approximation of y on [0, 1], we use the formula:
yi+1 = yi + h * f(ti, yi), for i = 0, 1, 2, ..., n - 1, where
f(ti, yi) = tiyi
= (0)(yi)
= 0, for i = 0, 1, 2, ..., n - 1.
Hence, we have:
y0 = y(0) = 1, and
y1 = y0 + h * f(t0, y0)
= y0 + h * 0
= 1 + 0
= 1
Therefore, the Euler approximation of y(1) using a step-size h = 0.5 is: y(1) ≈ y1 = 1. Therefore, y(1) ≈ 1. The exact solution of the given initial value problem is: y(t) = 1, and thus y(1) = 1. The Euler approximation of y(1) using a step-size h = 0.5 is: y(1) ≈ 1.
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show all work please
Answers
Answer:
please I can see the questions well
Step-by-step explanation:
please I want to help you but
the picture is not clear enough
The mathematical model C(x) = 700x + 80,000 represents the cost in dollars a company has in manufacturing x items during a month. Based on this model, how much does it cost to produce 600 items?
Answers
The cost to produce 600 items is $500,000.
The mathematical model C(x) = 700x + 80,000 represents the cost in dollars a company has in manufacturing x items during a month.
Based on this model, the cost of producing 600 items is:
The given mathematical model isC(x) = 700x + 80,000.
Here, x represents the number of items produced by the company during a month.Now, we have to find the cost of producing 600 items.
The given value of x is 600.
C(x) = 700x + 80,000.
Put x = 600
C(600) = 700(600) + 80,000= 420,000 + 80,000= $500,000.
Therefore, the cost to produce 600 items is $500,000.
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36. Mrs. Moore bought one gallon of milk at
$3 per gallon, three loaves of bread at
$2 per loaf, one pound of cheese at $4 per
pound, and six cans of soup at two cans for
$3. What was the total cost of the food?
Answers
The length of a rectangle is represented by the function L(x) = 5x. The width of that same rectangle is represented by the function W(x) = 2x2 − 4x 13. Which of the following shows the area of the rectangle in terms of x? (L • W)(x) = 10x3 − 4x 13 (L • W)(x) = 10x3 − 20x2 65x (L W)(x) = 2x2 1x 13 (L W)(x) = 2x2 − 9x 13.
Answers
The area of the rectangle is \(10x^3 - 20x^2 + 65x\). Option B shows the correct area of the rectangle.
What is the area of a rectangle?
The area can be defined as the space occupied by a flat shape or the surface of an object. The area of a rectangle is the product of its length and width.
Area of Rectangle = Length \(\times\) Width
Given that length of a rectangle is L(x) = 5x and width is W(x) = 2x^2 − 4x + 13.
The area of the rectangle is given below.
\(A =(L \times W)(x) = L(x) \times W(x)\)
\(A = (5x) \times (2x^2 - 4x +13)\)
\(A = (5x \times 2x^2 ) - ( 5x \times 4x) + (5x \times 13x)\)
\(A = 10x^3 - 20x^2 + 65x\)
Hence we can conclude that the area of the rectangle is \(10x^3 - 20x^2 + 65x\). Option B shows the correct area of the rectangle.
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Name two monomials with a quotient of 12^-2b^4
Answers
Answer:
12−2b4
Step-by-step explanation:
What is
-10x -1 > 39
Answers
Answer:
Step-by-step explanation:
x<−4
hope this helps
PLEASEEEEE HELP ME ASAP
Answers
Answer:
12.94
Step-by-step explanation:
220 divided by 17 is 12.94
just divide 220 from 17
an official from the ohio department of education claims that, in recent years, 3% of ohio high school seniors drop out. last year, podunk high school had 30 dropouts from their total enrollment of 600 students. is there sufficient evidence to conclude that the dropout rate at this school is different from the state level?
Answers
The alternative and hull hypotheses is H₀: P=0.03, H₁: P≠0.03.
Given that,
According to a representative of the Ohio Department of Education, 3% of graduating high school seniors in Ohio have dropped out in recent years. Out of the 600 pupils enrolled, 30 students from Podunk High School dropped out of school last year.
We have to find is there enough data to say that this school's dropout rate is higher than the state average. Using symbols and words, state the alternative and hull hypotheses.
We know that,
n is 600,
3% Ohio high school seniors dropout.
30 dropout out of 600 in Podunk high school.
Here,
H₀: μ₁=μ₂ vs H₁:μ₁≠μ₂
In coordinates,
H₀⇒ dropout number is equal for both schools.
H₁⇒ dropout number not equal for both schools.
H₀: P=0.03, H₁: P≠0.03.
Therefore, The alternative and hull hypotheses is H₀: P=0.03, H₁: P≠0.03.
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Determine if the lines through each pair of points are parallel, perpendicular, or neither.(5, 10) and (1, 6), (2,-6) and (-1, -3)-parallel-perpendicular -neither
Answers
Perpendicular
Explanation:Find the slope for the points (5, 10) and (1, 6)
\(x_1=5,\text{ y}_1=10,\text{ x}_2=1,\text{ y}_2=6\)The slope is calculated below
\(\begin{gathered} m_1=\frac{y_2-y_1}{x_2-x_1} \\ \\ m_1=\frac{6-10}{1-5} \\ \\ m_1=\frac{-4}{-4} \\ \\ m_1=1 \end{gathered}\)For the points (2,-6) and (-1, -3)
\(\begin{gathered} m_2=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ m_2=\frac{-3-(-6)}{-1-2} \\ \\ m_2=\frac{-3+6}{-3} \\ \\ m_2=\frac{3}{-3} \\ \\ m_2=-1 \end{gathered}\)Note that:
\(\begin{gathered} m_1m_2=1(-1) \\ \\ m_1m_2=-1 \end{gathered}\)Since the product of the two slopes is -1, the lines through the pairs of points are perpendicular
please solve this equation and show work 4y−70=12y+2
Answers
Answer:
Step-by-step explanation:
Simplifying 4y + -70 = 12y + 2
Add -12y to each side of the equation. -70 + 4y + -12y = 2 + 12y + -12y
Add 70 to each side of the equation. -70 + 70 + -8y = 2 + 70
Divide each side by -8.
So y = -9 is your answer.
Hope I Helped!!!
When Rachel last checked the clock it was 3:52 pm.
It is now 5:00 pm.
How much time has elapsed?
Answers
Answer: 1 hour and 8 minutes or 68 minutes.
Step-by-step explanation:
For this question I would start by finding how many minutes it would take to get to 4pm since it's the closest hour to 3:52 pm.
If we think of the 00 in 4:00 as 60, then we can do 60-52=8.
Then we know that 4:00 + 1 hour is 5:00.
To find the final answer add 8 minutes + 1 hour, which is 1 hour and 8 minutes.
This can also be answered as 68 minutes because, 60 minutes (1 hour) +8 minutes = 68 minutes.
Aiden runs a farm stand that sells apples and strawberries. Each pound of apples sells
for $2 and each pound of strawberries sells for $3. Aiden made $80 from selling a
total of 35 pounds of apples and strawberries. Write a system of equations that could
be used to determine the number of pounds of apples sold and the number of pounds
of strawberries sold. Define the variables that you use to write the system.
Answers
The system of equations that could be used to determine the number of pounds of apples sold and the number of pounds of strawberries sold will be x + y = 35 and 2x + 3y = 80.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, each pound of apples sells for $2 and each pound of strawberries sells for $3. Aiden made $80 from selling a total of 35 pounds of apples and strawberries.
Suppose the number of pounds of apples and strawberries is x and y respectively.
If the total of 35 pounds of apples and strawberries as a result,
x + y = 35-------(1)
If each pound of apples sells for $2 and each pound of strawberries sells for $3. Aiden made $80 then,
2x + 3y = 80---------(2)
Multiply equation 1 by 2 and subtract from equation 2 as
2x + 3y -2(x+y) = 80 - 2(35)
y = 10
Substitute the value of y we get x = 25
As a result, there are 25 pounds of apples and 10 pounds of strawberries in all.
Thus, the system of equations that could be used to determine the number of pounds of apples sold and the number of pounds of strawberries sold will be x + y = 35 and 2x + 3y = 80.
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the big box (made up of 5 small boxes) on the ecg paper measures:
Answers
When we measure a ECG waveform the large boxes represents 0.2 seconds.
To determine the measurements of the big box on ECG paper, we need to consider the standard calibration of ECG paper.
In most ECG papers, the standard calibration is as follows:
The horizontal distance (width) of a big box is typically 0.20 seconds.The vertical distance (height) of a big box is typically 0.5 millivolts (mV).
These measurements allow for accurate interpretation of the ECG waveform and analysis of heart activity.
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How does the phrase "assembling it at super speed" (paragraph 6) emphasize the
annoyed mood of the passage?
Aby demonstrating how careless Jack is with machinery
by illustrating how quickly Jack wants to finish his work
by showing how jealous Jack is about the new computer
by describing how easily Jack can put a computer together
Answers
The phrase "assembling it at super speed" (paragraph 6) emphasizes the annoyed mood of the passage by; B. illustrating how quickly Jack wants to finish his work.
What is the phrase?The use of the term "assembling it at super speed" implies that Jack is rushing to finish the computer's assembly. This focus on speed suggests that Jack is agitated or frustrated, which fits with the passage's irritated tone.
It implies that Jack could be working too quickly and might be compromising precision or attention to detail which could add to his irritation. By emphasising Jack's Jack's desire to finish quickly the phrase emphasises his impatience and supports the passage's generally irritated tone.
Therefore the correct option is B.
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if d represents how many dozens of eggs were ordered, which expression represents the number of eggs that were ordered
Answers
If d represents how many dozens of eggs were ordered, then the expression that represents the number of eggs that were ordered is 12d. Therefore, if we order d dozen of eggs, we will have 12 * d eggs.
The expression 12d is a product of the number of eggs in a dozen (12) and the number of dozens ordered (d).If we multiply d dozen of eggs by the number of eggs in each dozen, which is 12, we will get the total number of eggs that were ordered. So, 12d is the expression that represents the number of eggs that were ordered.Therefore, we can use this expression to calculate the number of eggs when we know how many dozens were ordered. For example, if we ordered 5 dozen eggs, we can use the expression 12d to calculate the number of eggs as follows:Number of eggs = 12d = 12 * 5= 60 eggsFor such more question on dozens
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If a car costs $7,400 with a tax rate of 7%, the percent of down payment is 15%, and you traded in a vehicle worth $1,050.00, how much is the down payment going to be?
Answers
The down payment going to be $60
How to determine the down payment?A down payment is the amount of cash you put toward the sale price of a home. It reduces the amount of money you will have to borrow and is usually shown as a percentage of the purchase price.
The given parameters are
Cost of the car = $7,400
Tax to be paid = 7%
The percent of down payment is 15%
The amount traded in a vehicle worth $1,050.00,
This implies that
0.07*7400 = $518
Down payment = 0.15 * 7400 = $1110
Therefore The amount of down payment is $(1110-1050)
= $60
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What are some reasons you should be intentional about saving money? in other words,
Answers
Answer:
Step-by-step explanation:
The reason why you should save money because if you spend all of your money you won't able to take care of yourself, your house, or have nothing to do
What is size of
angle p?°
Answers
Answer:
A) 75°
Step-by-step explanation:
It is the property of a polygon that the sum of the external angles is equal to 360°.
===============================================================
Solving :
⇒ p + 55 + 30 + 75 + 55 + 70 = 360
⇒ p + 85 + 130 + 70 = 360
⇒ p + 285 = 360
⇒ p = 360 - 285
⇒ ∠p = 75°
Answer :
A) 75°
because the property of polygon is equal to 360° the sum of external angles.
Hope it will help you
find the ratio of1 kg55gram
Answers
Answer:
200 : 11
Step-by-step explanation:
The quantities in the ratio must have the same units, thus ratio is
1 Kg : 55 g
= 1000 g : 55 g ← both in grams ( divide both quantities by 5 )
= 200 : 11
Need help with trigonometry, please explain each step.
Answers
The ceiling for this problem is given as follows:
450 m.
What are the trigonometric ratios?The three trigonometric ratios are defined as follows:
Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the opposite side.The parameters for this problem are given as follows:
Part of ceiling of x.Adjacent side of 150 m.Angle of 71.5º.Hence the value of x is obtained as follows:
tan(71.5º) = x/150
x = 150 x tangent of 71.5 degrees
x = 448.3 m.
Adding 1.7 m, the ceiling is obtained as follows:
448.3 + 1.7 = 450 m.
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if -5,3 and 5,3 are two vertices of an equilateral triangle, then find the coordinates of the third vertex, given that orgin lies inside the triangle (Take √3 = 1.7)
Answers
Therefore, The Coordinates of the THIRD VERTEX is: ( 5, -3 )
Step-by-step explanation:Calculate the midpoint of the given vertices:
MidPoint = ( -5 + 5/2, 3 + 3/2 )
MidPoint = ( 0, 3 )
Calculate the distance between the given vertices:Distance = √( -5 -5 )^2 + ( 3 - 3 )^2
Distance = √( -10 )^2 + (0)^2
Distance = √100
Distance = 10
Calculate the side length of the equilateral triangle:Side Length = 10/√3
Side Length = 10/1.7
Side Length = 5.88
Calculate the height of the Third Vertex:Height = √3/2 * Side Length
Height = 1.7/2 * 5.88
Height = 5
Calculate the Coordinates of the Third Vertex:Since the origin lies inside the triangle, The Third Vertex will have a Positive X-Coordinate and a Negative Y-Coordinate.
Now, Let the Third Vertex Be:( x, y )
Using the MidPoint Formula now we have:x = -5 + x/2
y = 3 + y/2
Solve for X and Y, we now get:x = 5
y = -3
Draw a conclusion:Hence, The Coordinate of the Third Vertex is: ( 5, -3 )
I hope this helps!
what do you call tha tool that can be used to collect data?__________
Answers
Answer:
pendrive, memory, chip
suppose point p divides the directed line segment xy so that the ratio of xp to py is 3 to 5 . describe point r that divides the directed line segment yx so that the ratio of yr to rx is 5 to 3 .a. R and P are the same pointb. Point R is halfway between point P and point Xc. The distance from point X is the same as the distance prom point P to point Yd. Point R is three fifths of the way from point P to point Y along PY
Answers
For point, p divides the directed line segment xy so that the ratio of xp to py is 3 to 5 correct option is d. Point R is three-fifths of the way from point P to point Y along PY.
The directed line segments divide a line into ratios, and each ratio has different properties. The properties of ratios of points on a line are dependent on the way the line is divided. For instance, suppose point p divides the directed line segment xy so that the ratio of xp to py is 3 to 5. We can describe point r that divides the directed line segment yx so that the ratio of yr to rx is 5 to 3 as follows:
We can solve this problem using the concept of directed line segments and the properties of ratios of points on a line.
Since P divides the directed line segment XY in the ratio 3:5, we can write:
XP = (3/8)XY and PY = (5/8)XY
Now, let's consider the directed line segment YX. We want to find a point R on this segment such that YR:RX = 5:3.
We can express YR and RX in terms of XY using the fact that YX = -XY:
YR = (5/8)YX and RX = (3/8)YX
Substituting -XY for YX, we get:
YR = (-5/8)XY and RX = (-3/8)XY
To find the location of point R, we need to find the distance from Y to R along the directed line segment YX. We can do this by adding the distances from Y to P and from P to R:
YR = YP + PR
Using the ratios we derived earlier, we can express YP and PR in terms of XY:
YP = PY = (5/8)XY
PR = R - P = (3/8)XY - (3/8)XY = 0
Therefore, YR = (5/8)XY + 0 = (5/8)XY
This means that point R is located at a distance of 5/8 of the length of YX from Y. So, the correct answer is (d) Point R is three-fifths of the way from point P to point Y along PY.
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ANSWER ASAP!!!!! 20 POINTS + BRAINLIEST!!!!!!!!
Answers
Answer:
5(a-b)=3(a+b)
5a-5b=3a+3b
2a-2b=0
2a=2b
a=b
a:b=1
Step-by-step explanation:
HEEEEEELP MEEEEEEEEEEEE
Answers
Which of the following is a proportion? Please help!! D:
Answers
Answer:
the second one
Step-by-step explanation:
W, E, L, O, V, E, M, A, T, H, determine the probability of randomly drawing a vowel.
two fifths
two sixths
two tenths
four elevenths
Answers
The probability of randomly drawing a vowel is 2/5
Calculating the probability of randomly drawing a vowel.From the question, we have the following parameters that can be used in our computation:
W, E, L, O, V, E, M, A, T, H
Using the above as a guide, we have the following:
Vowels = 4
Total = 10
So, we have
P(Vowel) = Vowel/Total
Substitute the known values in the above equation, so, we have the following representation
P(Vowel) = 4/10 = 2/5
Hence, the solution is 2/5
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