Answer:
x = 6
Step-by-step explanation:
21 : 28
27 : 6x
Cross multiply
21*6x = 27*28
126x = 756
756/126 = x
x = 6
West Junior High needs to fill its swimming pool with water. Determine the amount of water it needs by finding the volume of the pool. Use the drop down menus to complete the statements.
Answer:
West junior High needs to fill its swimming pool with water. Determine the amount of water it needs by finding the volume of the pool. Use the drop-down menus to complete the statements.
First, write the
✔ formula: V = lwh
.
Next, use parentheses when you substitute
✔ 50, 25, and 3
for l,w, and h.
Now, simplify by
✔ multiplying
50, 25, and 3.
The volume of the pool is
✔ 3,750
m3.
Step-by-step explanation:
Answer:
drop down menus its B A C D
Step-by-step explanation:
How much water and how much drink mix should Jerome use to make enough energy drink for all the runners? Create a table to show your work and explain your results in writing.
Answer:
well, you didnt give me any numbers or variables, so ill do it like this. if the container is the size of a pint, and there are 8 runners, and a pint equals 16 fluid ounces, in turn it should end as that each runner gets 2 fluid ounces of energy drink
Step-by-step explanation:
Translate into an algebraic expression and simplify if possible. C It would take Maya x minutes to rake the leaves and Carla y minutes, what portion of the leaves do they rake in one minute if they work together?
Answer:
in one minute they rake \(\frac{y+x}{xy}\) leaves working together.
Step-by-step explanation:
If Maya rakes the leaves in x minutes, then, in one minute she rakes \(\frac{1}{x}\) leaves.
In the case of Carla, if she rakes the leaves in y minutes, in one minute she rakes \(\frac{1}{y}\) leaves.
Therefore, to know the portion of leaves they can rake in one minute working together, we need to sum up both of the portions each one of them rake in one minute, this gives us: \(\frac{1}{x}+ \frac{1}{y}\)
Now, to simplify this expression:
\(\frac{1}{x}+ \frac{1}{y} =\frac{y+x}{xy}\)
Thus, in one minute they rake \(\frac{y+x}{xy}\) leaves.
The sum of two numbers is 50 and the difference is 4
Step-by-step explanation:
let the 2 numbers be x and x + 4 as their deference is 4.
their sum = 50
now,
→ x + x + 4 = 50
→ 2x + 4 = 50
→ 2x = 50 - 4 = 46
→ x = 46/2 = 23
therefore two numbers are,
x = 23
x + 4 = 23 + 4 = 27
hope this answer helps you dear...take care and may u have a great day ahead!
Step-by-step explanation:
x + y = 50
x - y = 4
x = y + 4
let's use that as substitute in the first equation
y + 4 + y = 50
2y = 46
y = 46/2 = 23
=>
x = y + 4 = 23 + 4 = 27
the 2 numbers are 23 and 27.
william used 15 cm of tape to wrap 3 presents, Find the length of tape to wrap for 1 present?
Rearrange the equation so w is the independent variable. u-5=-4(w-1)u−5=−4(w−1)
w =
Answer:
u=−4w+9
Step-by-step explanation:
u−5=−4(w−1)
u=−4(w−1)+5
u=−4w+4+5
u=−4w+9
Find the product. Enter the product in simplest form.
Answer:
5
Step-by-step explanation:
You multiply/divide all the fractions with each other.
S6 for the series
-2 -10 -50 -250….
What is S6
PLEASE HELP!
use the number line to find the absolue value of 7 (A -7, (B 0, (C 7, (D 14
Answer:
Can you put a number line in the picture?
Step-by-step explanation:
That would really help
Answer:
I think its C but without the number line a cant tell.
Step-by-step explanation:
If the values of x is 14 what is the value of y The answer is 1.5 ... 3 divided by 2 = 1.5 15 divided by 10 = 1.5 and 14 x 1.5= 21 also to check 21 divided by 14 is 1.5. Hope this helped
Na, didn't help me at all...
Which equation of the solutions of x2 = -7x – 8
Answer:
x = 1, -5.56
Step-by-step explanation:
x^2 = -7x - 8
shift -7x and -8 to the other side . Remember when u shift minus changes into plus.
x^2 + 7x + 8 = 0
using quadratic equation formula
in quadratic equation one value comes positive and other comes in negative
a = 1 , b = 7 and c = 8
taking positive sign
x = (-b + \(\sqrt{b^2 - 4*a*c}\)) /2*a
x = (-7 + \(\sqrt{7^2 - 4*1*8}\) ) /2*1
x = (-7 + \(\sqrt{49 + 32}\) ) /2
x = (-7 + \(\sqrt{81}\) )/ 2
x = -7 + 9 / 2
x = 2/2
x = 1
taking negative sign
(-b - \(\sqrt{b^2 - 4*a*c}\) ) /2*a
x = (-7 - \(\sqrt{7^2 - 4*1*8}\) ) /2*1
x = (-7 - \(\sqrt{49 - 32}\) ) /2
x = -7 - \(\sqrt{17}\) / 2
x = -7 - 4.12 / 2
x = -11.12/2
x = -5.56
therefore x = 1 , - 5.56
Answer:
\(x = \frac{- 7 + \sqrt{17}}{2} \ , \ x = \frac{-7 - \sqrt{17}}{2}\)
Step-by-step explanation:
\(x^2 = - 7x - 8\\\\x^2 + 7x + 8 = 0 \\\\\)
\(x = \frac{- b \pm \sqrt{b^2 - 4ac}}{2a}\\\\\) \([ \ a = 1 , \ b = 7 , \ c = 8 \ ]\)
\(x = \frac{-7 \pm \sqrt{49 - (4\times 8)}}{2} \\\\x = \frac{-7 \pm \sqrt{17}}{2} \\\\x = \frac{-7 + \sqrt{17}}{2} , \ , \frac{-7 - \sqrt{17}}{2}\)
Why do some of the questions I type. Don't pop up any answers?
Answer:
how am i supposed to know
Step-by-step explanation:
solve this please......
I need help with this
why is paying back along with a nominal interest rate of 13.62% if the interest is compounded quarterly, how much greater is white effective interest rate than his nominal interest rate
The required white effective interest rate is 0.71% more than his nominal interest rate.
What is compound interest?Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
Here,
White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent
So
Difference in interest = 14.33%-13.62%
=0.71%
Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.
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Policies Current Attempt in Progress On May 1, 2021, Sheffield Company sells office furniture for $300000 cash. The office furniture originally cost $746800 when purchased on January 1, 2014. Depreciation is recorded by the straight-line method over 10 years with a salvage value of $80200. What gain should be recognized on the sale? (Hint: Use 7.333333 for years used in calculation.) O $44540. O $22220. O $84080. O $42040. Save for Later -/5 = 1 Attempts: 0 of 1 used Submit Answer
To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.
First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.
Depreciation per year = (Cost - Salvage Value) / Useful Life
Depreciation per year = ($746,800 - $80,200) / 10 years
Depreciation per year = $66,160
Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.
Accumulated Depreciation = Depreciation per year × Years
Accumulated Depreciation = $66,160 × 7.33 years
Accumulated Depreciation = $484,444.80
Now, we can calculate the book value of the furniture:
Book Value = Cost - Accumulated Depreciation
Book Value = $746,800 - $484,444.80
Book Value = $262,355.20
Finally, we can calculate the gain on the sale:
Gain on Sale = Sale Price - Book Value
Gain on Sale = $300,000 - $262,355.20
Gain on Sale = $37,644.80
Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.
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The gain that should be recognized on the sale of the office furniture is $84,080.
The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.
Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.
For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420
Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.
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the within-groups estimate of variance is the estimate of the variance of the population of individuals based on the variation among the:
Group of answer choices
Scores in each of the actual groups studied
Mean of the groups minus the mean of the scores of the actual groups
Equal to the between-groups estimate of population variance
Means of the groups studied
The within-group estimate of variance is the estimate of the variance of the population of individuals based on the variation among the scores in each of the actual groups studied.
The within-groups estimate of variance is the estimate of the variance of the population of individuals based on the variation among the:
Scores in each of the actual groups studied.
This estimate represents the variation within each group and helps in understanding the population's variance by looking at individual differences within the groups.
The estimated within-group variance is the sum of the within-group variances for each group in the model. Effectively, this is the sum of the variance of each value (j) from its group (i) divided by the sample size minus one.
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answer the question picture is there
Answer:
Step-by-step explanation:
1. 500
2. 10
3. 25000
a city council of 11 republicans and 8 democrats picks a committee of 4 at random. what's the probability thy choose all democrats?
The probability they choose all democrats is 0.01805
How to determine the probability they choose all democrats?From the question, we have the following parameters that can be used in our computation:
Republicans = 11
Democrats = 8
Number of selections = 4
If the selected people are all democrats, then we have
P = P(Democrats) * P(Democrats | Democrats) in 4 places
using the above as a guide, we have the following:
P = 8/19 * 7/18 * 6/17 * 5/16
Evaluate
P = 0.01805
Hence, the probability they choose all democrats is 0.01805
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i literally have a test tomorrow and dont know what to do please help
Answer:
(-6, 1)
Step-by-step explanation:
y = 1 is the equation of a horizontal straight line that passes through (x, 1), where x can be any number. Four points are given. y = 1 for only one of them: (-6, 1). Answer "Yes" for this one point (the one in the second row).
WHAT IS 3x6 100 brainly points as a reward
I know this is easy but like hellp
Answer:
Choice b
Step-by-step explanation:
Area of a rectangle: width x length
Now lets find what the width equals :)
Choice a: 10 x 5 = 50
Choice b: 10 x 6 = 60
Choice c: 10 x 7 = 70
Choice d: 10 x 8 = 80
The correct answer would be b :)
Have an amazing day!!
Please rate and mark brainliest!!
Starting from an airport, an airplane flies 290 miles east and then 290 miles northwest. How far, in miles, from the airport is the plane? (Round your answer to the nearest mile.)
Answer:
The airplane is 222 miles far from the airport.
Step-by-step explanation:
After a careful reading of the statement, distances can be described in a vectorial way. A vector is represented by a magnitude and direction. That is:
Airplane flies 290 miles (east) (290 km with an angle of 0º)
\(\vec r_{A} = (290\,mi)\cdot i\)
Airplane flies 290 miles (northwest) (290 km with and angle of 135º)
\(\vec r_{B} = [(290\,mi)\cdot \cos 135^{\circ}]\cdot i + [(290\,mi)\cdot \sin 135^{\circ}]\cdot j\)
The resultant vector is equal to the sum of the two vectors:
\(\vec r_{C} = \vec r_{A} + \vec r_{B}\)
\(\vec r_{C} = \{(290\,mi) + \left[(290\,mi)\cdot \cos 135^{\circ}\right]\}\cdot i + \left[(290\,mi)\cdot \sin 135^{\circ}\right]\cdot j\)
\(\vec r_{C} = (84.939\,mi)\cdot i + (205.061\,mi)\cdot j\)
The magnitude of the final distance of the airplane from the airport is obtained by the Pythagorean Theorem:
\(\|\vec r_{C}\|=\sqrt{(84.939\,mi)^{2}+(205.061\,mi)^{2}}\)
\(\|\vec r_{C}\| = 221.956\,mi\)
The airplane is 222 miles far from the airport.
The triangle in each pair are similar. Find the unknown measures.
Answer:
b=9ft a=32 degrees
Step-by-step explanation:
The triangles in each pair are similar meaning the angles will also be the same.
18ft is 2.25x 8ft so to get b, we multiply the side that is proportionate to it, which is side 4ft
4x2.25=9ft
b=9ft
angle a is directly across from side 4ft which is proportionate to side b.
therefore, angle A is also propertionate to the angle across from side b, 32 degrees.
A certain fossil of a beetle contains 15% as much carbon as a living beetle. The age of the fossil can be found using carbon dating.
Calculate the age of this fossil given that the half life of carbon-14 is 5715 years.
Answer:
Fossil
are impressions of plants or animals embedded in rock and preserved. They may be in the form of a body or trace.
The age of the fossils is determined by the Radioactive carbon dating technique in which the half-life of carbon and found radioactive elements is determined to calculate the age of a fossil
use the following dummy variables to develop an estimated regression equation to account for seasonal effects in the data: if quarter , otherwise; if quarter , otherwise; if quarter , otherwise. enter negative values as negative numbers.
To develop an estimated regression equation to account for seasonal effects in the data, we can use dummy variables.
We need three dummy variables to represent the quarters: Q1, Q2, and Q3. For each quarter, the dummy variable will take a value of 1 if it corresponds to that quarter, and 0 otherwise. Let's denote the dependent variable as Y and the independent variable as X. To account for seasonal effects, we can introduce three dummy variables: Q1, Q2, and Q3.
For Q1, the dummy variable can be represented as follows: Q1 = 1 if the observation belongs to Q1 . Q1 = 0 if the observation does not belong to Q1 (Q2 or Q3) Similarly, for Q2 and Q3, the dummy variables can be defined as follows: Q2 = 1 if the observation belongs to Q2 . Q2 = 0 if the observation does not belong to Q2 (Q1 or Q3).Q3 = 1 if the observation belongs to Q3. Q3 = 0 if the observation does not belong to Q3 (Q1 or Q2). Now, we can include these dummy variables in the regression equation to capture the seasonal effects: Y = β₀ + β₁X + β₂Q1 + β₃Q2 + β₄Q3 + ε Here, β₀ represents the intercept, β₁ represents the coefficient of the independent variable X, β₂ represents the coefficient of Q1, β₃ represents the coefficient of Q2, and β₄ represents the coefficient of Q3. ε is the error term that accounts for any unexplained variation in the model.
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what is the value of a in a/5 + 3= 8
Answer:
Step-by-step explanation:
what is the value of a in a/5 + 3= 8
a/5 + 3= 8
a/5 = 8 - 3
a/5 = 5
a = 5 * 5
a = 25
Answer: a= 25
Step-by-step explanation:
first, you'll have to write the opposite of the + symbol which is - and then you'll have to lose the 3 by substracting it with, so the equation will look like this: a/5= 8-3 not 8+3
a/5=5
after that step you'll have to multiply 5 from the equal sgin with the 5 that is divided by a, so the final equation looks like this:
a=5x5
a=25
now let's make a verification:
25/5+3=8
5+3=8
a=25
hope I helped you :)
How many degrees are in a semicircle? 36° 90° 270° 180°
Answer:
180°
Step-by-step explanation:
voter preferences: a pollster wants to sample 500 votes in a town to ask them who they plan to vote for in an upcoming election. describe a sampling method that would be appropriate in this situation. explain your reasoning.
A simple random sample of 500 voters would be an appropriate method for a pollster to use in this situation.
In this method, each voter in the town is assigned a unique identifier and a list of all unique identifiers is created. Then, using a random number generator or a random number table, 500 unique identifiers are selected and those individuals are surveyed.
Random Voter Poll MethodThis method ensures that each voter in the town has an equal chance of being selected, so that the sample is representative of the population of voters. It also eliminates any potential biases that may be introduced if the pollster were to select individuals based on certain criteria (such as age, gender, or location).
By using a random sample, the pollster can have a good estimate of the true population parameter (voter preferences) with a high degree of confidence.
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find the radius of each circle with the given dimensions. d = 29 m
Answer:
14.5
Step-by-step explanation:
The radius is half the diameter.
29/2=14.5