Drew has two cats. One cat weighs 17 pounds, and the other one weighs 12 1/2 pounds. Audrey’s dog weighs 33 pounds. What is the difference in ounces between Audrey’s dog and the combined weights of Drew’s cats?
Answers
Answer: 3.5 pounds
Step-by-step explanation:
17+12.5=29.5
33-29.5=3.5
Related Questions
I need help please help me guys with the correct answer
Answers
Answer:the answer is D
Step-by-step explanation:
it is
A theme park guest takes an innertube into the wave pool. The innertube moves up and down in a way such that the height h of the innertube, in meters, above the floor of the pool can be modeled by the function h = asinbx + 5. When the wave pool is turned on, the innertube's height fluctuates between 2 meters and 8 meters, with an interval of 12 seconds between maximums. Based on the context of the problem, what are the values of a and b?
Answers
So we are told that the height of the innertube in meters is given by:
\(h(x)=a\sin (bx)+5\)The minimum height is 2 meters, the maximum is 8 meters and the time between two consecutive maximums is 12 seconds. Here is important to note a few properties of the sine. First of all, the minimum value of sin(bx) is -1 and its maximum value is 1. Then the height of the innertube is minimum when sin(bx)=-1 and maximum when sin(bx)=1. With these two values we can build two equations for a:
\(\begin{gathered} \min (h)=2=a\cdot(-1)+5 \\ \max (h)=8=a\cdot1+5 \end{gathered}\)So we have:
\(\begin{gathered} 2=-a+5 \\ 8=a+5 \end{gathered}\)Substracting 5 from both sides of the second equation we get:
\(\begin{gathered} 8-5=a+5-5 \\ 3=a \end{gathered}\)Using this in the first equation gives us:
\(\begin{gathered} 2=-3+5 \\ 2=2 \end{gathered}\)Which confirms that a=3. Now we have to find b. For this purpose we can recal another property of the sine. Its period i.e. the distance (in this case the time) between two consecutive maximums is given by:
\(\frac{2\pi}{b}\)Since we know this time is 12 seconds we get:
\(\frac{2\pi}{b}=12\)If we multiply both sides by b and divide them by 12 we get:
\(\begin{gathered} \frac{2\pi}{b}\cdot\frac{b}{12}=12\cdot\frac{b}{12} \\ \frac{2}{12}\pi=b \\ \frac{\pi}{6}=b \end{gathered}\)So we have:
\(a=3\text{ and }b=\frac{\pi}{6}\)Which means that the answer is the second option.
lve for m.
-3 + m
9 = 10
A.
-30
B.
63
C.
87
D.
93
Answers
The value of m that satisfies the equation -3 + m = 9 is m = 12.
To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.
-3 + m = 9
To move -3 to the other side, we can add 3 to both sides of the equation:
-3 + 3 + m = 9 + 3
Simplifying, we have:
m = 12
Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.
None of the provided answer options (A, B, C, D) match the correct solution.
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If triangle ABC was reflected over the x-axis, what would be the coordinates of B’?
a(-3, 4)
b(3, -4)
c(4, -3)
d(-4, 3)
Answers
The coordinates of B’ is given by D. A'(2, -5)
Since point A is at (2, 5), and you are reflecting it across the x-axis, you take a look at the y-coordinate.
What is the reflecting axis?A reflection of a point, a line, or a figure in the X-axis involved reflecting the image over the x-axis to create a mirror image. In this case, the x-axis would be called the axis of reflection.
Since it is five above the x-axis, you go five below the x-axis, or just give the opposite of 5, which is -5.
So, A' is at (2, -5).
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Answer:
c (4, -3)
Step-by-step explanation:
took the quiz
The equation of the graphed line is 2x – y = –6. A coordinate plane with a line passing through (negative 3, 0) and (0, 6). What is the x-intercept of the graph? –3 –2 2 6
Answers
Answer:
-3
Step-by-step explanation:
-3 is the answer
Answer:
-3
Step-by-step explanation:
In a water park, there is a swimming pool of dimensions 40 m × 20 m × 2 m. The management wants to repaint it, if the cost of painting an area of 1 m 2 is ₹13, then how much amount of money is required to paint the swimming pool?
Answers
The cost of repainting the swimming pool is 15,600 pounds
The swimming pool forms a three-dimensional object. Three-dimensional space is a geometric setting in which three values are required to determine the position of an element or its area.
The area of the object is the space the swimming pool occupies
How to find the area of the swimming pool?
Mathematically represented as: A =lbh metres square
A=areal =lengthb=breadthA=40x20x2
A=1200m²
The cost of im² is 13 pounds
Therefore, multiplying the area by cost of 1m per square
Cost=1200x13
Cost=15,600 pounds
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A truck can be rented from Company for 50 dollars a day plus 0.50 per mile. Company B charges 30 dollars a day plus 0.90 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for company A and company B are the same.
Answers
Answer:
no company a gets 3 miles company b gets 5 miles
Step-by-step explanation:
A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 1900 seats. The students filled 44% of the seats in the theater. How many 6th graders went on the trip?
Answers
1900 * 0.44 = 836
help plsss, i need it asap!!!!! thankss
Answers
Can someone PLEASE HELP!!!??
Answers
Answer:
I think the answer is 155 ft^2. Hope this helps.
find the height of the building when x = 3m, y = 6m, and d = 6m
Answers
Answer:
To find the height of the building, we can use the following formula:
height = y(d-x)/x
Substituting the given values, we get:
height = 6(6-3)/3
height = 6(3)/3
height = 6 meters
Therefore, the height of the building is 6 meters.
Simplify this expression for 19 point!
-0.5p+1/2p-2.75+2/3p
Answers
Answer:
you mean 10?
-2.75+\(\frac{2p}{3}\)
Step-by-step explanation:
Find the missing number so that the equation has infinitely many solutions.
3( –x – 7) + x + 5 = – 4(5x + 4)
Answers
equation has infinitely many solutions has the same number on both sides of the equal sign
-3x -21 + x + 5 = -20x -16
-2x -16 = -20x -16
so either you have -18x on the left or +18x in the right
PLEASE HELP DUE SOON!
I'm so confused, help determine the 100th line segment from question below!
Answers
Answer:
20200
Step-by-step explanation:
As you're in a hurry, I can give it later? xx
9. Apply Math Models A landscaper is planning a rectangle shaped flower garden
with an area given by the expression 4p² + 12p square yards. Draw one possible design
for the flower garden and label the dimensions for the length and width.
Answers
Answer:
Hope this helps ;) don't forget to rate this answer !
Step-by-step explanation:
The area of a rectangle is given by the formula A = lw, where l is the length of the rectangle and w is the width. Therefore, to find the dimensions of the rectangle, we can set up the equation 4p² + 12p = lw.
To solve this equation, we can first distribute the 4p² on the left side of the equation to get 4p² + 12p = 4p²l + 12pw. Then, we can rearrange the terms to get 12pw - 4p²l = 0.
To solve this equation for w, we can divide both sides by 4p(p - l), which gives us w = 3l/4p.
Therefore, the dimensions of the rectangle are l and 3l/4p. You can choose any value for l and then use the equation above to find the corresponding value for w. For example, if you choose l = 4, then w = 3(4)/4p = 3/p.
To draw, first, decide on a value for the length of the rectangle, l. Then, use the equation w = 3l/4p to calculate the corresponding value for the width of the rectangle, w.
Next, use the ruler or straight edge to draw two straight lines that are perpendicular to each other, forming the sides of the rectangle. The length of the rectangle should be equal to l, and the width of the rectangle should be equal to w. Make sure to label the length and width on your drawing.
A food delivery service has delivery times with known m=45 minutes and s=12 minutes. A sample of 36 delivery times is taken. What is the probability the sample mean will be > 48 minutes? What is the probability the sample mean is between 44 and 49 minutes? If 100 samples were collected, and the sample mean was 65 minutes, what would you conclude?
Answers
1.) The probability that the sample mean will be greater than 48 minutes is 0.9332.
2.) The probability of the sample mean being between 44 and 49 minutes is 0.6687.
3.) The z-score of 10 indicates that the sample mean of 65 minutes is 10 standard deviations above the population mean.
To solve this problem, we can use the Central Limit Theorem (CLT), which states that the distribution of sample means tends to be approximately normally distributed, regardless of the shape of the original population, when the sample size is large enough.
1.) Probability of sample mean > 48 minutes:
To calculate this probability, we need to standardize the sample mean using the formula: z = (x - μ) / (σ / √n), where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.
In this case, the population mean (μ) is 45 minutes, the population standard deviation (σ) is 12 minutes, and the sample size (n) is 36. We want to find the probability of the sample mean being greater than 48 minutes.
Calculating the z-score:
z = (48 - 45) / (12 / √36) = 3 / 2 = 1.5
Using a standard normal distribution table or calculator, we find that the probability corresponding to a z-score of 1.5 is approximately 0.9332. Therefore, the probability that the sample mean will be greater than 48 minutes is approximately 0.9332.
2.) Probability of sample mean between 44 and 49 minutes:
To calculate this probability, we need to find the z-scores for both 44 and 49 minutes and then calculate the area between those z-scores.
Calculating the z-scores:
For 44 minutes:
z1 = (44 - 45) / (12 / √36) = -1 / 2 = -0.5
For 49 minutes:
z2 = (49 - 45) / (12 / √36) = 4 / 2 = 2
Using the standard normal distribution table or calculator, we find the probabilities corresponding to z1 and z2:
P(z < -0.5) ≈ 0.3085
P(z < 2) ≈ 0.9772
The probability of the sample mean being between 44 and 49 minutes is approximately P(-0.5 < z < 2) = P(z < 2) - P(z < -0.5) ≈ 0.9772 - 0.3085 = 0.6687.
3.)Conclusion from 100 samples with a mean of 65 minutes:
If 100 samples were collected, and the sample mean was 65 minutes, we would need to assess whether this value is significantly different from the population mean of 45 minutes.
To make this assessment, we can calculate the z-score for the sample mean of 65 minutes:
z = (65 - 45) / (12 / √36) = 20 / 2 = 10
The z-score of 10 indicates that the sample mean of 65 minutes is 10 standard deviations above the population mean. This is an extremely large deviation, suggesting that the sample mean of 65 minutes is highly unlikely to occur by chance.
Given this, we can conclude that the sample mean of 65 minutes is significantly different from the population mean. It may indicate that there is a systematic difference in the delivery times between the sample and the population, possibly due to factors such as increased demand, traffic, or other external variables
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What are the points of the image of the line in Q4 after the dilation?
Answers
Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)
How is this so ?To rotate a point 90 degrees clockwise about a given point,we can follow these steps -
Translate the coordinates of the given point so that the center of rotation is at the origin. In this case,we subtract the coordinates of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).
Perform the rotation by swapping the x and y coordinates and changing the sign of the new x coordinate. In this case,we swap the x and y coordinates of (-5, 3) to get (3, -5).
Translate the coordinates back to their original position by adding the coordinates of the center (0,1) to the result from step 2. In this case, we add (0,1) to (3, -5) to get (3, -4).
Therefore, the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).
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pls help me with these 2 questions
Answers
Answer:
3a. about 1200 i think
3b. 50 miles i think
4a 25 push ups
4b 2 minutes and 10 seconds
Step-by-step explanation:
Markson and Sons leases a copy machine with terms that include a fixed fee each month plus a charge for each copy made. Markson made 8,000 copies and paid a total of $980 in January. In April, they paid $760 for 6,000 copies. What is the variable cost per copy if Markson uses the high-low method to analyze costs? If required, round your answer to two decimal places.
Answers
The variable cost per copy if Markson uses the high-low method to analyze costs. will be $0.11.
How to calculate the cost?It should be noted that the variable cost per unit will be calculated as:
= Difference in cost between high and low level activities / Difference in units
= (980 - 760)/(8000 - 6000)
= 220/2000
= 0.11
Therefore, the variable cost per copy if Markson uses the high-low method to analyze costs. will be $0.11.
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Drag and drop the range of each data set into the boxes.
PLEASEE
Answers
The range of data set 1 is 4
The range of data set 2 is 4.
What is the range?A line plot is a graph that is made up of a number line and check marks above the number line. The check mark above the number represents the frequency of the number in the data set. For example, if the number 3 on the number line has 2 checkmarks above it, it means 3 has a frequency of 2.
The range is the difference between the highest number in a dataset and the smallest number in the dataset. Range is a measure of variation.
Range = highest number - lowest number
The range of data set 1 = 7 - 3 = 4
The range of data set 2 : 7 - 3 = 4
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What is the domain of the given function? {(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}
{x | x = –4, –1, 3, 5, 6}
{y | y = –2, 0, 1, 4, 9}
{x | x = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9}
{y | y = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9}
Answers
Answer: {x | x = –4, –1, 3, 5, 6}
Step-by-step explanation:
The domain is the set of x values, which is 3, 6, -1, 5, and -4 in this case.
Answer:
{x | x = –4, –1, 3, 5, 6} its a
Step-by-step explanation:
hope this helps
Trace is buying notebooks. Each notebook is $2 off the original price. He buys 8 notebooks for $28. What is the original price of a notebook?
Answers
The original price of each notebook is $5.5
How to calculate the original price of each notebook ?
Trace is purchasing some notebooks
Each notebook is $2 off the original price
He buys 8 notebooks for $28
The first step is to calculate the price of one notebook
8= 28
1= x
Cross multiply both sides
8x= 28
x= 28/8
x= 3.5
1 notebook is $3.5
$2 was removed from the initial price. Therefore the original price is
2 + 3.5
= 5.5
Hence the original price of the notebook is $5.5
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Need Help Asap Please
Answers
Answer:
corporation C owns the most land
Step-by-step explanation:
hope it helps
help what is 1/3 to decimal
Answers
Hey there! I'm happy to help!
To turn a fraction into a decimal, you simply divide the numerator by the denominator!
1÷3=0.3333333333.... (the 3s never end!)
Have a wonderful day! :D
2
1
-1
-2
Determine the period.
2 4
6 8 10 12 14
Acellus
Answers
According to the information we can infer that the period of the graph is 8.
How to determine the period of the graph?To determine the period of the graph we have to consider that the period of a grah is the distance between rigdes. So, in this case we have to count what is the difference between each rigde.
In this case, the distance between rigdes is 8 units because the first is located in the line 1 an the second is located in the line 9. So we can conclude that the period of the graph is 8.
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A box with a square base and no top is to be made from a square piece of carboard by cutting 3 in. squares from each corner and folding up the sides. The box is to hold 972 in3. How big a piece of cardboard is needed? Your answer is:__ in. by___ in.
show your work
Answers
Answer:
24 in by 24 in
Step-by-step explanation:
Height of the box is 3 in, then
area of base is 972/3 = 324 in.
The side of the box base is \(\sqrt{324}\) = 18
The side of the square piece of carboard is 18 + 2 x 3 = 24 in.
Jana can spend, at most, $200 on school clothes.
Which inequality represents the amount that Jana can spend on clothes?
Answers
Answer:
I believe the answer is c
WEEK 2 Direction: Answer the following problems. 1. Jun wanted to know how much ice cream he got in on scoop. The radius of a scoop is 2 inches. Find the volum Use 3.14 for pi. (SHOW YOUR SOLUTION) a) What is asked in the problem? b) What are the given facts? c) What is the formula to be used? d) Number Sentence e) Final answer. (show your solution pls)
Answers
We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.
a) The problem asks for the volume of ice cream in one scoop.
b) The given fact is that the radius of the scoop is 2 inches.
c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.
d) Number Sentence:
- Given: Radius (r) = 2 inches
- Formula: V = (4/3)πr³
- Substituting the value: V = (4/3)π(2)³
- Simplifying: V = (4/3)π(8)
- Evaluating: V = (4/3)(3.14)(8)
- Multiplying: V = 33.49333333 (approx.)
e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.
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how would i anwser this? help pls!
Answers
Answer:
Step-by-step explanation:
To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.
For example:
y=-2/3(-6)=7
-2/3x6=-4
-4+7=3
(-6,3)
You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.
To get the x value, you need to fill in the y in the equation y=-2/3x+7
for example:
5=-2/3x+7
-2=-2/3x
3=x
(3,5)
y=-2/3x+7
y=-2/3(15)+7
y=-10+7
y=-3
(15,-3)
y=-2/3x+7
15=-2/3x+7
8=-2/3x
-12=x
(-12,15)
How much would you have to deposit today to accumulate the SAME AMOUNT OF MONEY that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn?
Answers
Answer:
7606.62
Step-by-step explanation:
Start by finding how much you will have through the annuity. The question isn't that clear, so i will just assume it's an annuity due.
\(p(\frac{(1+i)^n-1}{i})*(1+i)\\i=.035/12= .0029166667\\n=10*12=120\\p=75 (given)\\75\frac{(1+.0029166667)^{120}-1}{.0029166667}*(1+.0029166667)= 10788.814149\\\)
Now just equate this to a time 0 payment at the same rate
\(10788.814149=(1+.0029166667)^{120}*x\\x= 7606.6228603=7606.62\)
As a quick note, if you were supposed to assume that your annuity was an annuity immediate the answer would be 7584.50.