Devon purchased one bag of dog food and three bags of cat food. Each bag of dog food weighs x pounds and each bag of cat food weighs half as much as the bag of dog food. The total weight of Devon's purchase is 32.5 pounds. The equation x+3(x/2)=32.5 can be used to determine the weight of the dog food and cat food. What is the weight in pounds of one bag of cat food?
Answers
Answer:
A pound of cat food will weigh 6.5 pounds
Step-by-step explanation:
Firstly, we need to get the value of x. Thus, let’s solve the equation at hand;
x + 3x/2 = 32.5
x + 1.5x = 32.5
2.5x = 32.5
x = 32.5/2.5
x = 13
Now from the question, we are made to know that a pound of cat food measures half of what a pound of dog food measures
Since we calculate a pound of dog food to weigh 13 pounds, a pound of cat food will weigh = 13/2 = 6.5 pounds
Related Questions
Find the measure of x.
8.3
340
х
x = [?]
Round to the nearest tenth.
![Find the measure of x.8.3340x = [?]Round to the nearest tenth.](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/yoVRGW00Qt1ZjMPiLtF8qY0GS3bO3iBp.png)
Answers
Answer:
5.6 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp side/ adj side
tan 34 = x / 8.3
8.3 tan 34 = x
5.59842 = x
To the nearest tenth
5.6 =x
Four friends go out to lunch together. Mike orders a personal pizza with 2 toppings for $7.00. Dustin orders a personal pizza with 5 toppings for $9.25. Lucas orders a calzone with 1 topping for $5.75. Will orders a calzone with 4 toppings for $8.75. For what number of toppings is the price of a personal pizza the same as a calzone?
Answers
Answer:
Step-by-step explanation:
Four friends go out to lunch together.
For what number of toppings is the price of a personal pizza the same as a calzone?
Let us represent the number of toppings as x
We need to know the price of a personal pizza and the price of a calzone
Mike orders a personal pizza with 2 toppings for $7.00.
2x = $7
x = $7/2
x = $3.50
Dustin orders a personal pizza with 5 toppings for $9.25.
5x = $9.25
x = $9.25/5
x = $1.85
Lucas orders a calzone with 1 topping for $5.75.
x = $5.75
Will orders a calzone with 4 toppings for $8.75.
4x = 8.75
x = 8.75/4
x =2.1875
What is 164 lbs to kg?
Answers
164 lbs is approximately equal to 74.3892 kilograms.
lbs is a written abbreviation for pound.
To convert 164 pounds to kilograms, you can use the following formula:
1 pound = 0.45359237 kilograms
Therefore, 164 pounds is equal to:
164 * 0.45359237 = 74.3892 kilograms (rounded to 4 decimal places)
So, 164 pounds is approximately equal to 74.3892 kilograms.
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In ΔABC, m∠A=a, m∠B=β, m∠C=y. AB = c, AC = b, BC = a. Find the remaining parts of each triangle if the following parts are given.
a=5, b=7, y=31°
Answers
Answer:
9.013 square units
Step-by-step explanation:
Leticia bought a new tablet for $425. She had to pay a sales tax of 8%.
What was the amount of sales tax she paid on the tablet? Sales Tax: $
What was the total cost after sales tax that Leticia paid for the tablet? Total: $
Answers
Total: $459
Step to solve:
To find sale tax you would need to multiple 425, the cost of the tablet by 8% or 0.08 in decimal form to get the answer 34.
To find the total add the sale tax, 34, and the cost of the tablet, 425, to get the total, 459 dollars.
Which is an example of discrete data?
A)
amount of time required to drive to work
B)
square footage of a house
height of a pepper plant
D)
number of days in a month
Answers
Number of days in a month is an example of discrete data out of all the four options.
What is Discrete Data?
Discrete data is a numerical type of data that includes whole, concrete numbers with specific and fixed data values determined by counting.
In many cases, discrete data can be prefixed with "the number of".
Some discrete data examples are:
The number of customers who bought different itemsThe number of computers in each departmentThe number of items you buy at the grocery store each weekAccording to the given question:
Number days in a month is an example of discrete data from the given options as it is the type of data that contains fixed data values in the form of days of in a month.
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Hellpp pleaseeeeeeee
Answers
Answer:
4th option
Step-by-step explanation:
The translation shifts Δ ABC → Δ A'B'C'
Consider the x- coordinates of A and A'
A has x- coordinate 1
A' has x- coordinate - 3
Then 1 to - 3 is a shift of 4 units left
Answer:
4 units lefts
Step-by-step explanation:
First you have to take 2 similar points, we will take A' and A and counts the squares between them. Since the dashed A is the new translation, we know the translation is left, all we do now is count the squares which is 4.
Among adults in the US, the distribution of albumin levels in cerebrospinal fluid is roughly symmetric with mean =29.5 mg/100ml and Standard deviation of 9.25mg/100ml. Suppose that you select repeated samples of size 20 from this population and calculate the mean for each. How large must the sample be for 99% of their means to lie within 10 µmol/l of the population mean?
Answers
Rounding up gives us a sample size of 7. Thus, we would require a sample size of 7 for 99 percent of the samples' means to be within 10 µmol/L of the population mean. Therefore, option B is correct.
The distribution of albumin levels in cerebrospinal fluid among adults in the US is roughly symmetric with a mean of 29.5 mg/100 ml and a standard deviation of 9.25 mg/100 ml. If repeated samples of size 20 are taken from this population and the mean is calculated for each, how large should the sample be for 99% of their means to lie within 10 µmol/L of the population mean.Solution:The mean of the population is 29.5 mg/100 ml and the standard deviation is 9.25 mg/100 ml, and we're looking for the number of samples required for 99 percent of the samples' means to be within 10 µmol/L of the population mean. The sample size formula is used for this problem.The sample size formula is:$$n
=\left(\d fraction{z*\sigma}{E}\right)^2$$Where, n is the sample size z is the level of significanceσ is the population standard deviation E is the margin of error The formula for margin of error is:E
= z*σ/√nWe require that the sample mean lies within 10 µmol/L of the population mean with a probability of 0.99.Using a standard normal distribution table, we find that the value of z for a 0.995 probability is 2.58.Accordingly, we have:E
= 10 µmol/Lz
= 2.58σ
= 9.25 mg/100 ml The formula for margin of error is:E
= z*σ/√n Solving for n by plugging in the above values we have:$$n
=\left(\dfraction{z*\sigma}{E}\right)^2$$$$n
=\left(\d fraction{2.58*9.25}{10}\right)^2$$$$n
=6.31$$.Rounding up gives us a sample size of 7. Thus, we would require a sample size of 7 for 99 percent of the samples' means to be within 10 µmol/L of the population mean. Therefore, option B is correct.
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Find the median and mode(s) of the data.
3, 5, 7, 9, 11, 3, 8
Median:
Mode:
Answers
Answer: The median is 7 and the mode is 3
Step-by-step explanation:
Check the picture below.
Example 1 what surfaces in double-struck r3 are represented by the following equations? (a) z = 3 (b) y = 5
Answers
In double-struck ℝ³ (ℝ³), the surfaces represented by the given equations are as follows, In both cases, the surfaces are planes in ℝ³.
y = 5
z = 3
(a) The equation z = 3 represents a plane parallel to the xy-plane, located at a distance of 3 units above the origin. This plane intersects the yz-plane and xz-plane in lines parallel to the y-axis and x-axis, respectively.
(b) The equation y = 5 represents a plane parallel to the xz-plane, located at a distance of 5 units above the origin. This plane intersects the xy-plane and yz-plane in lines parallel to the x-axis and z-axis, respectively.
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In the three-dimensional Euclidean space, ℝ³, the surfaces represented by the equations z = 3 and y = 5 correspond to a horizontal plane parallel to the xy-plane at a height of 3 units above the origin and a vertical plane parallel to the xz-plane intersection the y-axis at a value of 5, respectively.
(a) The equation z = 3 represents a surface that is a horizontal plane parallel to the xy-plane. This means that for any point (x, y, z) on this surface, the z-coordinate is always equal to 3. It forms a flat plane at a height of 3 units above the origin (0, 0, 0). This plane is perpendicular to the z-axis and extends infinitely in the x and y directions.
(b) The equation y = 5 represents a surface that is a vertical plane parallel to the xz-plane. For any point (x, y, z) on this surface, the y-coordinate is always equal to 5. This plane intersects the y-axis at a value of 5 and extends infinitely in the x and z directions. It is perpendicular to the y-axis.
In both cases, the equations define surfaces that are infinite in extent and have specific geometric orientations relative to the coordinate axes in ℝ³.
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What are independent variables and dependent variables when
conducting a research design to investigate the impact of a school
nutrition program on grade performance of students at high
school?
Answers
Independent variables are the factors that are manipulated or controlled by the researcher in a study. In the context of investigating the impact of a school nutrition program on grade performance of high school students, the independent variable would be the school nutrition program itself.
The researcher would design and implement the program, and this variable would be under their control.
Dependent variables, on the other hand, are the outcomes or variables that are measured in a study and are expected to change as a result of the independent variable. In this case, the dependent variable would be the grade performance of the students. The researcher would collect data on the grades of the students before and after the implementation of the nutrition program, and this would be the variable that is expected to be influenced by the independent variable.
In summary, the independent variable in this research design is the school nutrition program, while the dependent variable is the grade performance of the students. The researcher would manipulate the independent variable (implement the nutrition program) and then measure the dependent variable (student grades) to determine if there is an impact of the program on grade performance.
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Answer this question, if anyone just posts an answer that is not relevant to this question will be reported.
Answers
Answer:
A is the correct answer
Step-by-step explanation:
I have looked at your bar graph.
What about B?
B is wrong because the first bar doesn't reach 5.8 billion
And C & D are wrong for the same reason. I hope this helps you:)
Note:
My answer WAS relevant to your question.
Answer:
tysm have a great day! Go rose!
Step-by-step explanation:
which function is the inverse of f(x)= arccsc x
Answers
Let's begin by identifying key information given to us:
\(\begin{gathered} f(x)=arccsc(x)_{} \\ f\mleft(x\mright)=y \\ \Rightarrow y=arccsc(x) \\ We\text{ will proceed to i}nterchange\text{ }the\text{ }variables,\text{ we have:} \\ x=arccsc(y) \\ We\text{ will make ''y'' the subject of the formula, we have:} \\ y=\frac{x}{arccsc}\Rightarrow y=csc(x) \\ y=csc(x) \\ y=f^{-1}\mleft(x\mright) \\ \Rightarrow f^{-1}(x)=csc(x) \\ \\ \therefore f^{-1}(x)=csc(x) \end{gathered}\)PLEASE HELP ASAP
I think I know but I want to double check
Answers
Answer:B 1/18
Step-by-step explanation:
By appropriate streamlining, the drag coetficient for an airplane is reduced by 12% while the frontal area remains the same. For the same power output, by what percentage is the flight speed increased?
Answers
The speed that an aeroplane is intended to fly at is called its maximum operating speed (VA). With elevations of 12, 15, and 18 degrees, the lift and G-force grow.
Speed.
It is the rate at which a displacement adapts to its surroundings. A body's speed is a scalar quantity since it is directionless. It is also the rate at which displacement in relation to the environment is shifting in a particular direction.
Here,
The maximum operational speed of an aeroplane is the speed at which it is designed to fly (VA). Elevations of 12, 15, and 18 degrees result in increasing lift and G-force.
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use dimension analysis, construct a quantity using g, c, and h, that has the dimension of time.
Answers
Let Q=k\(g^{x} h^{y} c^{z}\) where x,y,z are the dimensions and k is dimensionless constant. It will give the Planck's length.
This length is the Planck length, and it is 1.6 x 10-35 meters. Writing the dimensions in Q, we will get the following expression :
[M0L1T0]=(M−1L3T−2)x(ML2T−1)y(LT−1)z = M−x+yL3x+2y+zT−2x−y−z
Applying the principle of homogeneity of dimensions, we get
−x+y=0∴y=x. iii
3x+2y+z=1 iv
−2x−y−z=0
Add (iii) & (iv) x+y=1 or x+x ,x=1/2
From Q, y=x=12
From (iv) z=−2x−y=−2(12)−12=−32
Put in (i) Q=kG1/2h1/2c−3/20
Q=kGhc^3
Taking k=1 and putting the standard values : G=6.67×10^−11 SI units.
h=6.63×10^−34-sec
c=3×10^8m/s , we get
Q≅ \(10^{-35}\) m
This length is called Planck's length.
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Solve the equation for x
√√x+5-3-4
Ox=2
Ox=12
Ox=44
Ox=53
help!!
Answers
Hence, OPTION (C) is your answer: X = 44
Step-by-step explanation:
SOLVE FOR X:√x + 5 - 3 = 4
Isolate√x + 5 = 3 + 4
√x + 5 = 7
Squared Both Sides:(√x + 5)2 = (7)2
x + 5 = 49
Rearranged:x - 44 = 0
+44 = 44
X = 44
Add 44 on both sides:Now we conclude!Hence, X = 44
Draw The conclusion: CheckEquation: √x + 5 = 7
Now we Plug in 44 for x√(44) + 5 = 7
Now Simplify√49 = 7
Conclusion checks Solution is:Hence, x = 44
I hope this helps!
PLS HELP AND EXPLAIN HOW TO DO IT ASWELL ILL MARK YOU BRAINLIEST
Answers
Answer:
251.33 = 251
Step-by-step explanation:
V= πr²h = π·2²·20 ≈ 251.32741 = 251.33
Answer:
Step-by-step explanation:
Solve for A or x, round to the nearest tenth.
13
11
Answers
Answer:
sin x = 0.85
Step-by-step explanation:
since,
sin x = opposite/hypotenuse
= 11 / 13
sin x = 0.85
what do you use to find the inverse variation?
Answers
Answer:i dont knowcan you tell me
Step-by-step explanation:
Let AB be the line segment beginning at point A (2, 4) and ending at point B (14, 15). Find the point P on the line segment that is of the distance from A to B.
Answers
Answer:
df
Step-by-step explanation:
erg
I don't understand this. Can Someone please help?
Answers
Answer:
A. -∞ < x < ∞
Step-by-step explanation:
The domain of a function is the set of all possible inputs (x values). We see from the graph that the function extends forever to the left and to the right. Thus, the domain of the function is all real numbers, as the function extends on the x-axis towards positive and negative infinity. A. represents this fact.
Find (fog)(x) and (gof)(x) and the domain of each,
f(x)=2x-7. g(x)= x+7 2 (fog)(x) = ____(Simplify your answer.) (gof)(x) =_____(Simplify your answer.) The domain of (fog)(x) is_____ (Type your answer in interval notation.) The domain of (gof)(x) is_____
(Type your answer in interval notation.)
Answers
The composition (fog)(x) is equal to 2x + 7, and the composition (gof)(x) is equal to 2x + 42. The domain of (fog)(x) is (-∞, ∞), and the domain of (gof)(x) is also (-∞, ∞).
Why are the domains of (fog)(x) and (gof)(x) both (-∞, ∞)?To find (fog)(x) and (gof)(x), we substitute the functions f(x) and g(x) into each other:
(fog)(x) = f(g(x))
= f(x+7) = 2(x+7) - 7
= 2x + 14 - 7
= 2x + 7
(gof)(x) = g(f(x))
= g(2x-7) = \((2x-7) + 7^2 \\\)
= 2x - 7 + 49
= 2x + 42
The simplified forms are:
(fog)(x) = 2x + 7
(gof)(x) = 2x + 42
The domain of (fog)(x) is the same as the domain of g(x), which is all real numbers since there are no restrictions on x in the function g(x).
The domain of (gof)(x) is the same as the domain of f(x), which is also all real numbers since there are no restrictions on x in the function f(x).
Therefore, the domain of both (fog)(x) and (gof)(x) is (-∞, ∞), representing all real numbers.
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to investigate this claim, a random sample of 150 students is selected. what are the appropriate hypotheses?h0: the distribution of lunch preferences is 70% cafeteria, 10% hut, 10% taco wagon, and 10% pizza : the distribution of lunch preferences is not 70% cafeteria, 10% hut, 10% taco wagon, and 10% pizza place.h0: the distribution of lunch preferences is not 70% cafeteria, 10% hut, 10% taco wagon, and 10% pizza : the distribution of lunch preferences is 70% cafeteria, 10% hut, 10% taco wagon, and 10% pizza place.h0: in the sample of 150 students, 105 will prefer the cafeteria, 15 will prefer the hut, 15 will prefer the taco wagon, and 15 will prefer pizza : in the sample of 150 students, the distribution will not be that 105 will prefer the cafeteria, 15 will prefer the hut, 15 will prefer the taco wagon, and 15 will prefer the pizza place.h0: in the sample of 150 students, the distribution will not be that 105 will prefer the cafeteria, 15 will prefer the hut, 15 will prefer the taco wagon, and 15 will prefer the pizza : in the sample of 150 students, 105 will prefer the cafeteria, 15 will prefer the hut, 15 will prefer the taco wagon, and 15 will prefer the pizza place.
Answers
H0: The distribution of lunch preferences is 70% cafeteria, 10% hut, 10% taco wagon, and 10% pizza.
Ha: The distribution of lunch preferences is not 70% cafeteria, 10% hut, 10% taco wagon, and 10% pizza place.
In hypothesis testing, we have a null hypothesis (H0) and an alternative hypothesis (Ha). The null hypothesis represents the claim or assumption we want to test, while the alternative hypothesis represents the opposite or alternative claim.
In this case, the null hypothesis (H0) states that the distribution of lunch preferences is 70% cafeteria, 10% hut, 10% taco wagon, and 10% pizza place. The alternative hypothesis (Ha) states that the distribution of lunch preferences is not 70% cafeteria, 10% hut, 10% taco wagon, and 10% pizza place.
To test these hypotheses, a random sample of 150 students is selected, and their lunch preferences are recorded. The goal is to determine if the observed distribution of lunch preferences in the sample provides enough evidence to reject the null hypothesis in favor of the alternative hypothesis.
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Renee is going to buy a new car that has a list price of $19,675. She will be responsible for $1,420 in vehicle registration fees, $85 in documentation fees, and 8. 92% sales tax. She plans to trade in her current car, a 2002 Buick LeSabre in good condition, and finance the rest of the cost over four years at an interest rate of 11. 34%, compounded monthly. If the dealer gives Renee 85% of the listed trade-in value for her car, what will her monthly payment be? Round all dollar values to the nearest cent.
Answers
Answer:
521.96
Step-by-step explanation:
Function: f (x) = x + 2
Answers
Step-by-step explanation:
let f(x) be y
y=x+2
make x the subject of the formula
x=2-y
Answer:
Step-by-step explanation:
Solve for s in terms of r, t, and u.
u=tsr
Answers
Answer: s=u/tr
Step-by-step explanation:
In order to find the value of s, you need to isolate it on the side its on. Since t and r are being multiplied by s, you need to divide t and r from both sides. tsr/tr=s and u/tr remains in that format.
Jake bought 4 T-Shirts He
also bought a pair of pants
that cost $45. He spent $119
total. Write an solve an
equation to find the cost of
egch t-shirt.
Answers
Answer:
T-shirt is x
pants is y -> 2y=45
total is : 4x+2y=119
as we know 2y=45
4x+45=119
4x = 119-45
x= 74/4
each T-shirt is 18.5
solve the equation 3a - 6 = -12.
Answers
Answer:
a=-2
Step-by-step explanation:
3a−6=−12
Step 1: Add 6 to both sides.
3a−6+6=−12+6
3a=−6
Step 2: Divide both sides by 3.
3a/ 3 = −6/ 3
a=−2
I looked up the answer lol
help please only 5min left HUrryyyy
Answers
Answer:C
Step-by-step explanation:
if you go up four over two, theres a point. 4/2=2. 2x