Answer:
513 people per square mile
Step-by-step explanation:
because
a group of teachers and students go on a school trip. for every teachers on the trip, there are four male students and five female students
if there are 30 female students on the trip, how many male students are there ?
The number of male students that went on the school trip given that there are 30 female students is 24
Calculating how many male students are there?Given that we have the following statement:
Every teacher is assigned 4 male students and 5 female students
The above statement means that we have the following ratio
Ratio = Male : Female
So, we have the following equation
Male : Female = 4 : 5
When the number of female students is 30, we have the following
Male : 30 = 4 : 5
Express as fraction
Male/30 = 4/5
So, we have
Male = 4/5 * 30
Evaluate
Male = 24
Hence, the number of male students is 24
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At what point does the line given by the following equation cross the x-axis? -3/7x+6
Answer:
(14,0)
Step-by-step explanation:
Hope this helps....Just simply look at a graph of the equation to find your answer.
Answer:
(14,0)
Step-by-step explanation:
Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern.
-3, 9, -27, 81
Answer:
-243, 729
Step-by-step explanation:
pattern is to multiply by -3 to get next number
Please help I’m stuck on this question
Answer:
B. circumcenter
Step-by-step explanation:
you have to draw in the perpendicular lines inside the triangle to find the circumcenter as shown in the picture.
calculate the Area of parallelogram GDEF if the base is 5m and the altitude is 3,2m
Step-by-step explanation:
the area of a parallelogram is
baseline × height = 5 × 3.2 = 16 m²
Angle ADB and CD are straight lines. angle ADC = 5 x angle CDB Work out the size of angle ADC.
Answer:
Step-by-step explanation:
Determine the equation of this circle Assume the radius is a whole number (3,-2)
Answer:
1 1/2
Step-by-step explanation:
In recent years, Sheffield Transportation purchased three used buses. Because of the frequent turnover in the accounting department, a different accountant was in charge of selecting the depreciation method for each bus, and various methods have been used. Information concerning the buses is summarized in the table below. Bus 1, Bus 2, Bus 3, For the declining-balance method, the company uses the declining method rate. For units-of-activity method, total miles are expected to be 125,000. Actual miles of use in the first 3 years were 2021, 27,000; 2022, 35,000; and 2023, 33,000.
(a1) For Bus #3, calculate depreciation expense per mile under units-of-activity method.
Under the units-of-activity method, the depreciation expense per mile for Bus #3 is $0.4616.
How is the depreciation expense per mile determined?The units-of-activity method is one of the depreciation methods in use.
Under the units-of-activity method, the depreciation expense per unit is determined by dividing the depreciable amount by the total units of activity.
The depreciation amount (the value of the asset subject to depreciation) is the net of the total cost less the salvage value.
Depreciable amount of Bus #3 = $57,700 ($66,500 - $8,800)
Expected total miles for Bus #3 = 125,000
Depreciation expense per mile for Bus #3 = $0.4616 ($57,700 ÷ 125,000)
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Question Completion:Bus Acquired Cost Salvage Useful Life Depreciation
Value in Years Method
1 1/1/12 $99,100 $7,900 4 Straight-line
2 1/1/12 128,000 11,000 4 Declining- balance
3 1/1/13 66,350 8,800 5 Unit-of-activity
6 - 3x = 5x - 10x = 14
Answer:
X=4
Step-by-step explanation:
Sheridan Industries had sales in 2021 of $7,752,000 and gross profit of $1,254,000. Management is considering two alternative budget plans to increase its gross profit in 2022.
The cost of sales for Sheridan Industries, given the gross profit and the sales, is $ 6, 498, 000
How to find the cost of sales ?The cost of sales refers to the amount that the company invested to be able to make the sales they did. This includes the cost of purchases of goods which were then sold ( or their cost of manufacturing ).
The cost of sales to Sheridan Industries can be found by the formula :
= Sales - Gross profit
The cost of sales is therefore :
= 7, 752, 000 - 1, 254, 000
= $ 6, 498, 000
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The full question is:
Sheridan Industries had sales in 2021 of $7,752,000 and gross profit of $1,254,000. Management is considering two alternative budget plans to increase its gross profit in 2022. To do this this, management first needs to determine its cost of sales. Find the cost of sales for 2021.
Anna spent $173 to attend a concert.
10% of this cost was for a parking pass.
Anna spent the remainder of the money on 2 tickets for the event.
What was the price per ticket? Round your answer to the nearest cent.
Answer:
$77.85
Step-by-step explanation:
10% of $173 is $17.30, and $173 - $17.30 is $155.70
$155.70/2 is $77.85
The mayoral election results for the town of Jainsville are shown in the table below.
Voters were able to vote for one of three candidates, each represented by one of the three parties shown in the table. Each voter was given a six-digit identification number. What is the probability that if an identification number is randomly chosen, a 50-year-old or younger voter from the winning party will be chosen from the pool of voters? Round your answer to the nearest hundredth of a percent.
Answer:
ponlo en español para ayudarte
Simplify the following expression: 3(2x+7) *
O 6x + 7
O 6x + 10
O 6x + 21
O 5x + 10
3 x 2x = 6x
3 x 7 = 21
6x+21
0 is an angle in a right-angled triangle. tan 0 = 23/52 What is the value of 0? Give your answer in degrees to 1 d.p.
The value of the angle θ is approximately 24.2 degrees to 1 decimal place.
In a right-angled triangle, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. Given that tan θ = 23/52, we can find the value of the angle θ.
To find the value of θ, we can use the inverse tangent or arctan function. Taking the inverse tangent of both sides of the equation, we have:
θ = arctan(23/52)
Using a calculator or trigonometric tables, we can evaluate the inverse tangent of 23/52. The result is approximately 24.2 degrees.
Note that in the context of a right-angled triangle, the tangent function is defined for acute angles (less than 90 degrees). Since 0 degrees is the smallest possible angle, it is considered an acute angle in this case.
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What is the relationship between same-side interior angles?
Answer:
The relation between the same side interior angles is determined by the same side interior angles theorem the theorem for the same side interior angle theorem states. if a transversal intersects two parallel lines , each pair of same side interior angles are supplementary ( their sum is 180 degree
what equation can b used to find one multiple of 16
Answer:
16 ÷ 8 = 2 16 ÷ 4 = 4 16 × 0 = 0 16 × 2 = 32.
or
16*2=32
If a three-digit number is divided by 5 or by 6, remainder is 1 in each case. What is the least such three-digit number?
Answer:
The least three-digit number which leaves a remainder of 1 when divided by 5 or 6 is 101.
Step-by-step explanation:
This is because 101 is the smallest three-digit number which is not a multiple of either 5 or 6. To see that 101 is the smallest such number, you can check that 100 and 99 are both multiples of both 5 and 6, and 98 is a multiple of 6.
Represent each expression as a power of a, a cannot be equal to 0
Answer:
a^-27
Step-by-step explanation:
(a^3)^-3)^3)
(a^-9)^3)
a^-27
When we represent the expression ((a³)⁻³)³ as a power of a, the result obtained is a⁻²⁷
How to represent the expression as a power of a?The following data were obtained from the question:
Expression: ((a³)⁻³)³Representation as power of a =?We can represent the expression ((a³)⁻³)³ as a power of a by using the power law of indices as illustrated below:
((a³)⁻³)³
Recall
(Bᵐ)ⁿ = Bᵐⁿ (i.e multiply the power)
Thus,
((a³)⁻³)³ = (a⁻⁹)³
= a⁻²⁷
Thus, we can conclude from the above calculation that the representation of the expression ((a³)⁻³)³ as a power of a is a⁻²⁷
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Graphs of a function and its inverse are shown on the same coordinate grid.
Which statements accurately compare the function and its inverse? Check all that apply.
The domains of the two functions extend to positive infinity.
The ranges of the two functions are all real numbers.
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Neither function has a minimum.
The correct statements are;
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Option C and D
How to determine the correct statementsTo accurately compare a function and its inverse based on the graphs, we have to know the following;
The domains of the two functions extend to positive infinity if the domain of the inverse function is equivalent to the range of the original function.The ranges of the two functions are all real numbers if the graphs cover the entire y-axis without any gaps or discontinuities.If the graphs intersect at the point (a, b), it means that f(a) = b and f^(-1)(b) = a, indicating that the functions are inverses of each other.
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The length of a rectangular wall is 16.5 feet. The height of the wall is 8.625 feet. Cameron determines the area of the wall to be 1423.125 square feet. Which best explains the reasonableness of Cameron’s solution?
Cameron’s solution is reasonable because there are four decimal places in the factors and four decimal places in the product.
Cameron’s solution is reasonable because there are three decimal places in the factors and three decimal places in the product.
Cameron’s solution is unreasonable because 17 times 9 is 153, and 153 is not close to his product.
Cameron’s solution is unreasonable because 10 times 10 is 100, and 100 is not close to his product
Answer:
Cameron’s solution is unreasonable because 17 times 9 is 153, and 153 is not close to his product.
Step-by-step explanation:
Area of a rectangle:
The area of a rectangle, of length l and height h, is given by:
\(A = lh\)
The length of a rectangular wall is 16.5 feet. The height of the wall is 8.625 feet.
This means that \(l = 16.5, h = 8.625\)
Estimate of the area:
To use an "easy" multiplication, lets consider \(l = 17, h = 9\). So
\(A = lh = 17(9) = 153\)
Cameron determines the area of the wall to be 1423.125 square feet.
Very far from the area of 153, which means that he made a confusion with the decimal places. Thus, the correct answer is:
Cameron’s solution is unreasonable because 17 times 9 is 153, and 153 is not close to his product.
Find the percentage and round to the nearest hundredth
7.2% of $ 8,650,00
The percentage is given by the expression A = ( 7.2 % ) ( 8650.00 ) and the value of A = $ 622.80
Given data ,
Let the initial amount be represented as P
Now , the value of P is
P = $ 8,650.00
On simplifying the equation , we get
Let the percentage value be d = 7.2 %
On simplifying the percentage , we get d = 0.072
So , A = 0.072 ( 8,650.00 )
Multiplying the expression , we get
A = $ 622.80
Therefore , the value of A is A = $ 622.80
Hence , the expression is A = $ 622.80
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What is the value of 1/7 x 1/7x1/7?
Answer: 1/343
Step-by-step explanation:
To multiply fractions, combine the numerators and denominators and simplify as shown below.
1/7 x 1/7 x 1/7 can be rewritten as:
(1x1x1)/(7x7x7)
Simplifying the numerator and denominator in the new equation, the result is 1/343.
Thus, 1/7 x 1/7 x 1/7 = 1/343.
I hope this helps!
12. 12 ounces is roughly the same as
O A. 340 grams.
B. 356 grams.
O C. 400 grams.
O D. 120 grams.
Mark for review (Will be highlighted on the movin
Answer:
A. 340 grams
Step-by-step explanation:
My brain
two 1−quart bottles
two 1−quart bottles
two 1−quart bottles and two 1−pint bottles
two 1−quart bottles and two 1−pint bottles
one 1−quart bottle and eight 8−ounce fluid glasses
one 1−quart bottle and eight 8−ounce fluid glasses
Select the objects that hold the same amount of liquid as a 96−fluid-ounce jug. Select all that apply.
three 1−quart bottles
three 1−quart bottles
two 8−ounce fluid glasses and two 1−pint bottles
two 8−ounce fluid glasses and two 1−pint bottles
To determine which objects hold the same amount of liquid as a 96-fluid-ounce jug, we need to convert each of the given measurements to fluid ounces and then add them up. Here are the conversions:
Two 1-quart bottles = 64 fluid ounces (2 x 32)
Two 1-pint bottles = 32 fluid ounces (2 x 16)
One 1-quart bottle and eight 8-ounce fluid glasses = 96 fluid ounces (32 + 8 x 8)
So, the objects that hold the same amount of liquid as a 96-fluid-ounce jug are:
One 1-quart bottle and eight 8-ounce fluid glasses
Three 1-quart bottles
Therefore, the correct answer is:
one 1−quart bottle and eight 8−ounce fluid glasses
three 1−quart bottles
Ballet teacher Monica Lawry earns time
and a half for the number of hours she
works over 40. One week she worked 48
hours. If her base pay is $9.00, how much
did she earn that week?
O $432
O $468
$792
Answer:
792
Step-by-step explanation:
You are in business and have a product that sells for $10 that 1000 people buy each month. You want to make a profit and wonder whether you should raise the price in increments of a dollar. For each dollar you raise the price, you lose 100 customers. How many dollars can you go up to maximize your profit, or should you go up at all?
Let:
P = Profit
n = Number of increments by $1
R = Revenue
The profit is given by:
\(\begin{gathered} P=10+1n \\ P=10+n \end{gathered}\)Therefore, the revenue is:
\(R=(10+n)(1000-100n)\)Expand the equation using the distributive property:
\(\begin{gathered} R=10000-1000n+1000n-100n^2 \\ R=-100n^2+10000 \end{gathered}\)The maximum profit of this quadratic function is located at the vertex, we can find the vertex as follows:
\(\begin{gathered} V(h,k) \\ h=-\frac{b}{2a} \\ a=-100 \\ b=0 \\ k=R(h)=R(0)=10000 \end{gathered}\)The vertex is (0,10000) in another words the maximum profit is achieve if you don't raise the price.
Determine the mean, median, mode and midrange for the following data:
13 15 18 18 21
Your answers should be exact numerical values.
The mean of the data is
The median of the data is
The mode of the data is
The midrange of the data is
The Mean is 17, Median is 18, Mode is 18 and, Midrange is 17.
The Mean is defined as the ratio of sum of numbers present in the data to the total numbers present in the data. Median is defined as the ratio of sum of middle numbers present in the data. Mode is defined as the most recurring number present in the data. Midrange is the ratio of the largest and smallest number in the data to 2.
Let's see how to calculate Mean, Median, Mode and Midrange.
Mean = 13 + 15 + 18 + 18 + 21 / 5
Mean = 85 / 5
Mean = 17
Median = 18 (as it is the middle term of the data)
Mode = 18 (as it is most recurring number)
Midrange = 21 + 13 / 2
Midrange = 34 / 2
Midrange = 17
Therefore, The Mean is 17, Median is 18, Mode is 18 and, Midrange is 17.
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what does 0 represent? in a number line
Answer:
neither positive nor negative
Step-by-step explanation:
Answer:
0-1-2-3-4-5-6-7-8-9...
Step-by-step explanation:
zero is the first number in positives and negatives
HELP ME PLS ;-;
Plot -3 1/2, 1 1/4 on the coordinate plane
Answer:
black fart matters
Step-by-step explanation:
Answer:
iwkwkwkwkkwrlrkkdkdkdkelrlfkfkrkrk
Rewrite the rational expression as an equivalent rational expression whose denominator is the given polynomial
Step 1
Given;
\(\begin{gathered} \frac{-5y-3}{30x^2+20}=\frac{z}{60x^2+40} \\ \text{where;} \\ z\text{ is the missing part of the equivalent rational }expression \end{gathered}\)Required; To find the missing part of the equivalent rational expression.
Step 2
Cross multiply
\(\begin{gathered} \frac{-5y-3}{30x^2+20}=\frac{z}{60x^2+40} \\ z(30x^2+20)=(-5y-3)(60x^2+40) \\ \end{gathered}\)Factorize 60x²+40
\(z(30x^2+20)=(-5y-3)(2(30x^2+20))\)Divide all through by 30x²+20
\(\begin{gathered} \frac{z(30x^2+20)}{(30x^2+20)}=\frac{(-5y-3)(2(30x^2+20))}{(30x^2+20)} \\ z=2(-5y-3) \\ z=-10y-6 \end{gathered}\)Hence;
\(\begin{gathered} \frac{-5y-3}{30x^2+20}=\frac{-10y-6}{60x^2+40} \\ \text{Therefore, the missing part of the equivalent rational expression is;} \\ -10y-6 \end{gathered}\)