Paula shovels 3 square feet more than Melinda in 1 minute.
We are given two equations relating the distance covered by each while they shovel. Assuming the x to be representative of Melinda's speed and y to be representative of Paula's speed. Making at least one coefficient same for both the equation.
Equation 1 : 30x + 30y = 450
Equation 2 : 20x + 25y = 345
Dividing equation 1 and equation 2 by 5.
Equation 3 : 6x + 6y = 90
Equation 4 : 4x + 5y = 69
Multiplying equation 3 with 4 and equation 4 with 6.
Equation 5 : 24x + 24y = 360
Equation 6 : 24x + 30y = 414
Subtracting Equation 5 from Equation 6.
24x + 30y = 414
- 24x + 24y = 360
6y = 54
y = 9
Keep the value of y in equation 3
6x + 6×9 = 90
6x + 54 = 90
6x = 90 - 54
6x = 36
x = 6
So, Melinda's speed is 6 square feet per minute and Paula's speed is 9 square feet per minute.
Difference between speed = 9 - 6
Difference = 3 square feet per minute
Hence, Paula's speed is 3 square feet per minute more than Melinda.
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The complete question is -
Melinda and Paula shovel driveways and sidewalks in the winter as a way to earn extra money. Together they shoveled 450 square feet of sidewalk in 30 minutes. Then Melinda shoveled for 20 minutes while Paula shoveled for 25 minutes to complete 345 square feet of driveway.
30x + 30y = 45020x + 25y = 345
How much more can Paula shovel in 1 minute than Melinda?
3 square feet per minute
6 square feet per minute
9 square feet per minute
15 square feet per minute
Answer:
A: 3 square feet per minute
Step-by-step explanation:
Please help me!!!!!!!
Answer:
Step-by-step explanation:
we are given that one angle is 40 degrees. The right angle below that is 90 degrees. Right angles will always equal 90 degrees. with the two angles how do we solve. Triangles no matter what will always be 180 degrees so,
40+90+x=180
130+x=180
-130 -130
x=50 degrees
Answer:
b
Step-by-step explanation:
..........................................
The angle measures of a triangle are shown in the diagram
what is the value of x?
pls hurry its due soon
Answer: Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.
Step-by-step explanation: To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
From the graph of the function, determine the domain and the range.
Domain: [0, 4] Range: [0, 4]
Domain: (-4, 4) Range: (0,4)
Domain: (-4, 4] Range: [0, 4]
Domain: [0, 4] Range: (-4, 4]
Answer:
Domain: (-4, 4) Range: (0,4)
Step-by-step explanation:
Domain is the furthest left and right points on the x-axis while the range is the same but instead of it being the x-axis, it would be the y-axis. The graph shows -4 to 4 being the domain and 0 to 4 being the range.
4. Mark says to do the problem 12 % + 3 %, you just find 12 +3 =4 and % +3/4=1/3 to get 4- How do you respond?
Mark's approach to solving the problem is incorrect.
We have,
To find the sum of percentages, you cannot simply add the numbers together as you would with regular numbers.
Percentages represent proportions or ratios, so they must be converted to their corresponding decimal or fraction forms before adding them.
To solve 12% + 3%, you need to convert each percentage to its decimal form and then add the decimals together.
Here's the correct approach:
12% = 12/100 = 0.12
3% = 3/100 = 0.03
Now, add the decimals:
0.12 + 0.03 = 0.15
Therefore,
The value of 12% + 3% is 0.15 or 15%.
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Rita owed her brother $ 15. After her birthday, she was able to pay him back and still have $45. How much money did Rita receive for her birthday ?
An inscribed angle and a central angle intercept the same arc. The inscribed angle is
the arc.
Select one:
of
O a. half
O b. equal to
O c. twice
Answer:
Half
Step-by-step explanation:
An inscribed angle is an angle with its vertex on the circle and whose sides are chords. The intercepted arc is the arc that is inside the inscribed angle and whose endpoints are on the angle.
The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc.
An image is inserted for your reference.
Which two numbers does √√61 lie between on a number line? O 7.7 and 7.8 O 7.8 and 7.9 O 7.9 and 8.0 Stm O 8.0 and Which two numbers does √√61 lie between on a number line ? O 7.7 and 7.8 O 7.8 and 7.9 O 7.9 and 8.0 Stm O 8.0 and 8.1
Answer:
B) 7.8 and 7.9
Step-by-step explanation:
Taking the square root of 61, we can conclude that the decimal form is 7.810, which falls between the range of 7.8 and 7.9
Answer:
√61 lie between 7.8 and 7.9
All 60 students in the seventh grade must choose a fall sport in which they will participate. If 2/5 of them choose volleyball, 25% of them choose soccer, and the remainder choose softball, how many students choose softball?
Answer:
21
Step-by-step explanation:
24 play volleyball
15 play soccer
Softball= 60-(24+15)=21
or
2/5 = 40%
100% -(40+25)= 35%
60x0.35=21
find the equation of the line shown
Answer:
y = (1/2)x
Step-by-step explanation:
y = mx + b
The line passes through point (0, 0), so b = 0
y = mx
Going from point (0, 0) to point ( 2, 1), rise = 1, and run = 2.
slope = rise/run = 1/2
The slope, m, is 1/2.
y = (1/2)x
How do you find the tenth term in this sequence
Answer:
should be none of the about because each time you multiple by 1/2, i got 1/64 for the 10th
Step-by-step explanation:
The binomial (x + 5) is a factor of x2 + 8x + 15. What is
the other factor?
2
+x
+x
(x + 3)
(x + 7)
(x + 12)
(x + 13)
+
Answer:x+3
Step-by-step explanation:
5×3=15
5+3=8x
Answer:
A
Step-by-step explanation:
Quickk!
Chris will spend at most $21 on gifts. So far, he has spent $13. What are the possible additional amounts he will spend? Use c for the additional amount (in dollars) Chris will spend. Write your answer as an inequality solved for c.
Answer:
he will probaly only spend $7 more
Please help Quickly Look At Image.
Answer:
abc- 130
ebd-130
abe-50
Step-by-step explanation:
What is the inverse of f(x)=2x^2+4x? Please show work.
as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.
\(\stackrel{f(x)}{y}~~ = ~~2x^2+4x\hspace{5em}\stackrel{\textit{quick switcheroo}}{x~~ = ~~2y^2+4y} \\\\\\ x=2(y^2+2y)\implies \cfrac{x}{2}=y^2+2y\impliedby \begin{array}{llll} \textit{now let's complete the square}\\ \textit{to make it a perfect square trinomial}\\ \textit{by using our good friend, Mr "0"} \end{array} \\\\\\ \cfrac{x}{2}=y^2+2y(+1^2-1^2)\implies \cfrac{x}{2}=y^2+2y+1-1\implies \cfrac{x}{2}=(y^2+2y+1)-1\)
\(\cfrac{x}{2}+1=(y^2+2y+1^2)\implies \cfrac{x}{2}+1=(y+1)^2\implies \sqrt{\cfrac{x}{2}+1}=y+1 \\\\\\ \sqrt{\cfrac{x+2}{2}}=y+1\implies \sqrt{\cfrac{x+2}{2}}-1=y~~ = ~~f^{-1}(x)\)
Whether the function is even or odd
The given graph is not symmetric with respect to the y-axis. Hence, this is not even function.
What is Function?
A relation between a collection of inputs and outputs is known as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function.
An example of a rule is a function, which produces one output for a single input.
If the graph of a function is symmetric with respect to the y-axis, then it is said to be an even function. Otherwise, it is odd function.
The given graph is not symmetric with respect to the y-axis. Hence, this is not even function.
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Use the normal approximation to find the indicated probability. The sample size is n, the population proportion of successes is p, and X is the number of successes in the sample.
n = 93, p = 0.48: P(X ≤ 48)
The probability that X is less than or equal to 48 is approximately 0.023.
To use the normal approximation, we first need to check if the conditions are met:
1. The sample size is large enough: n*p = 93*0.48 = 44.64 and n*(1-p) = 93*0.52 = 48.36, both greater than 10.
2. The observations are independent: we assume that the sample is random and that the sample size is less than 10% of the population size.
Given these conditions, we can use the normal distribution to approximate the binomial distribution.
We standardize X using the formula:
z = \((X - n*p) / \sqrt{(n*p*(1-p)) }\)
Substituting the values, we get:
z = (48 - 93*0.48) / sqrt(93*0.48*0.52) = -1.99
Using a standard normal distribution table or calculator, we can find the probability:
P(X ≤ 48) ≈ P(z ≤ -1.99) = 0.023
Therefore, the probability that X is less than or equal to 48 is approximately 0.023.
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Estimate the quotient 4558 divided by 43
Answer:
the answer is 106
Step-by-step explanation:
4558÷43=106
Four people P, Q, R and S have to sit on the four stools marked 1, 2, 3 and 4.
P goes and sits down on stool 4. Q does not want to sit on a stool that is immediately next to P's. Keeping this in mind, in how many different ways could Q, R and S arrange themselves on the remaining stools?
A) 6
B) 4
C) 3
D) 2
Evaluate the line integral
6 integral yzcosx ds x = t, y = cost, z = sint 0 < t < pi
It looks like the integral is
\(\displaystyle 6 \int yz\cos(x) \, ds\)
With \(x=t\), \(y=\cos(t)\), and \(z=\sin(t)\), the line element is
\(ds = \sqrt{\left(\dfrac{dx}{dt}\right)^2 + \left(\dfrac{dy}{dt}\right)^2 + \left(\dfrac{dz}{dt}\right)^2} \, dt = \sqrt2 \, dt\)
and so
\(\displaystyle 6 \int yz\cos(x) \, ds = 6\sqrt2 \int_0^\pi \cos^2(t) \sin(t) \, dt\)
Substitute \(u = \cos(t)\) and \(du=-\sin(t)\,dt\), then
\(\displaystyle 6 \int yz\cos(x) \, ds = -6\sqrt2 \int_1^{-1} u^2 \, du = 12\sqrt2 \int_0^1 u^2 \, du = \boxed{4\sqrt2}\)
where in the second-to-last equality, we have
\(\displaystyle -\int_1^{-1} = \int_{-1}^1\)
and
\(\displaystyle \int_{-1}^1 u^2 \, du = 2 \int_0^1 u^2\,du\)
by symmetry.
f (x) = 3x +2
fine the inverse of the function
Roberto wrote a sentence that describes an equation.
Half of a number is 45.
Which choice shows Roberto’s equation and its solution?
2 x = 45; x = 90
StartFraction 45 Over 2 EndFraction = x; x = 22.5
StartFraction x Over 2 EndFraction = 45; x = 22.5
StartFraction x Over 2 EndFraction = 45; x = 90
Answer: D: x/2 = 45; x = 90
Step-by-step explanation:
half of a number is 45:
x/2 = 45
.: x = 90
Your answer is D
Answer:
D
Step-by-step explanation:
According to data from 2015, women's shoe sales in the us are roughly normally distributed by shoe size with a mean of size 8 and a standard deviation of 1.25 sizes.
a) if a women's shoe sold in the us is a size 7.5, what is the z-score?
b) what size of women's shoe would have a z-score of 1.3?
c) if a women's shoe sold in the us is a size 9, what is the z-score and percentile? z-score:
percentile:
d) what size of women's shoe would have a z-score of -1.5? what percentile is that? shoe size:
percentile:
e) what women's shoe size represents the 80th percentile? z-score:
shoe size:
a) The z-score for a shoe size of 7.5 is approximately -0.4.
b) The shoe size corresponding to a z-score of 1.3 is approximately 9.625.
c) The z-score for a shoe size of 9 is approximately 0.8.
d) The shoe size corresponding to a z-score of -1.5 is approximately 6.125.
e) To find the shoe size representing the 80th percentile, we need to determine the corresponding z-score using a z-score table or calculator and then use the formula x = (z * standard deviation) + mean.
a) To calculate the z-score, we use the formula: z = (x - mean) / standard deviation. For a shoe size of 7.5, the z-score would be: z = (7.5 - 8) / 1.25 = -0.5 / 1.25 = -0.4.
b) To find the shoe size with a z-score of 1.3, we rearrange the formula: x = (z * standard deviation) + mean. Plugging in the values, we get: x = (1.3 * 1.25) + 8 = 1.625 + 8 = 9.625.
c) For a shoe size of 9, the z-score is: z = (9 - 8) / 1.25 = 1 / 1.25 = 0.8. The percentile can be found using a z-score table or calculator.
d) With a z-score of -1.5, we can use the same formula as before: x = (z * standard deviation) + mean. Plugging in the values, we get: x = (-1.5 * 1.25) + 8 = -1.875 + 8 = 6.125. The percentile can be found using a z-score table or calculator.
e) To find the shoe size representing the 80th percentile, we can use the inverse of the z-score formula: x = (z * standard deviation) + mean. The z-score corresponding to the 80th percentile can be found using a z-score table or calculator.
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DO I HAVE TO BUY THE "PLUS" VERSION TO THIS WEBSITE IN ORDER TO GET EXPERT VERIFIED ANSWERS ON MY QUESTIONS?
Answer and Step-by-step explanation:
No, you don't have to pay for anything to get expert-verified answers on your questions.
I'm not completely sure, but it could raise the chances of getting your answers to be that, or to have other people with those types answer your questions.
But no, you don't have to pay for anything. I didn't have to pay for anything and I got my answers to be expert verified in the past.
#teamtrees #PAW (Plant And Water)
The data below shows the temperature (X) and the amount a plant grew(Y) in millimeters, for each of nine randomly selected days. Calculate the correlation coefficient, r. Perform the hypothesis test to determine if rho = 0 and determine the p-value. If y cap = 1.905x + 5.055, and the sigma(Z_x middot Z_y) = 8.875
The correlation coefficient (r) for the given data is 0.926, indicating a strong positive linear relationship between temperature (X) and plant growth (Y).
The calculated correlation coefficient of 0.926 indicates a strong positive linear relationship between temperature (X) and plant growth (Y). The correlation coefficient ranges from -1 to 1, where values close to 1 indicate a strong positive correlation. In this case, a value of 0.926 suggests that as temperature increases, the amount of plant growth also tends to increase.
To perform the hypothesis test we compare the p-value to the chosen significance level (typically 0.05). The p-value represents the probability of obtaining a correlation coefficient as extreme as the observed value (or more extreme) if the null hypothesis were true (rho = 0). If the p-value is smaller than the significance level, we reject the null hypothesis in favor of the alternative hypothesis, indicating that there is a significant correlation.
In this case, the p-value is less than 0.05, which means the probability of observing a correlation coefficient as extreme as 0.926 (or more extreme) under the assumption of no correlation is very low. Therefore, we reject the null hypothesis and conclude that there is a non-zero correlation between temperature and plant growth.
Note: The provided equation "y cap = 1.905x + 5.055" and the value "sigma(Z_x middot Z_y) = 8.875" are not directly used in calculating the correlation coefficient or performing the hypothesis test. They may be additional information given for the purpose of further analysis or calculations.
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Tammy, John, Allison and Henry paid a total of $45 for movie tickets at the theater. Each movie ticket was the same price. How much did each person pay for a movie ticket
Each person (Tammy, John, Allison, and Henry) paid $11.25 for a movie ticket.
To determine the cost of each movie ticket, we will divide the total amount paid by the number of people who bought tickets.
Total amount paid: $45
Number of people: Tammy, John, Allison, and Henry (4 people)
Step 1: Divide the total amount paid by the number of people.
$45 ÷ 4 = $11.25
So, Allison and each of her friends paid $11.25 for a movie ticket.
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see image for question. HELP PLEASE
Answer: the last question at the very bottom
Step-by-step explanation:
the graph is not a scatter plot, so its a line plot .
not every linearly independent set in set of real numbers r superscript ℝn is an orthogonal set. T/F?
The given statement is true.
Consider linearly independent vectors of \(R_{n}\)
Where n = 2
\(V = \[\begin{array}{ccc}4&\\2\end{array}\right]\)
\(U = \[\begin{array}{ccc}5&\\6\end{array}\right]\)
Now product of these vectors
UV = 4x5 + 2x6
= 32
Hence these vectors are not orthogonal.
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Graph y = -3/2 x-3
It would be helpful if you wrote the coordinates I have to change them to !!!
Answer:
(-2,0),(0,-3)
Step-by-step explanation:
Set x to zero to find the Y intercept which is (0,-3)
Set Y to zero and use algebra to find out the x intercept which is (-2,0)
help me Please!!!!!!
Answer:
Step-by-step explanation:
Angle QRS is an inscribed angle. The rule is that an inscribed angle is half the measure of the arc it cuts off; in other words, the measure of the arc is double the measure of its inscribed angle. If the angle is 84, then the arc is
84(2) = 168.
14x^7/7x simplified?
Answer:
2x^6
Step-by-step explanation: