The length of a rectangle is 3 inches less than its twice the width. If the perimeter is
78 inches, what is its width?
Answer:
first lets write the formula for the perimeter of a rectangle: P = 2L + 2W or Perimeter = 2*Length + 2*Width
Now lets write the information that we know form the problem given:
We are told that the Perimeter = 30 inches
We are told that the Length is 3 inches less than twice its width. So lets rewrite this one into the equation. The length (L) is equal to (=) 3 inches less (-3) than twice its width (2W). Therefore, L = 2W-3
So now we have an equation to plug in for L and we still do not know what W is
Next, Plug into the equation!
P = 2L + 2W
30 = 2 (2W-3) +2W
Now Solve!
30 = 2 (2W-3) +2W
30 = 4W-6+2W
+6 +6
36 = 4W + 2W
36 = 6W
6 = W
Now we know what W is we can plug in to find L
P = 2L + 2W
30 = 2L + 2(6)
30 = 2L + 12
-12 -12
18 = 2L
9 = L
The length of the rectangle is 9 inches!
Step-by-step explanation:
Students on a campus of a college in California were asked "What will most likely help you to succeed in
college?" The results of this survey are tabulated below.
Reason
have a good roommate
study hard
live on campus
supportive family
always go to class
have a goal in mind
other
(a) What is the relative frequency for the reason "study hard"? (Write your answer as a fraction.)
Answer:
Frequency
583
620
187
163
558
645
439
(b) What is the relative frequency for the reason "have a goal in mind"? (Write your answer as a fraction.)
Answer:
Answer:
(a) \(\frac{620}{3195}\)
(b) \(\frac{645}{3195}\)
Step-by-step explanation:
Relative frequency of an event = Event Frequency/Total Frequency
In this case the event is the number of responses for each reason and the total frequency is the sum of all responses.
Total Responses = 583 + 620 + 187 + 163 + 558 + 645 + 439 = 3195
(a) What is the relative frequency for the reason "study hard"?
= Number of responses for "study hard" / 3195
= 620/3195
==> \(\frac{620}{3195}\) Answer to (a)
(b) What is the relative frequency for the reason "have a goal in mind"?
= Number of responses for the reason "have a goal in mind"/3195
= 645/3195
==> \(\frac{645}{3195}\) Answer to (b)
I think it is OK to leave it as it is without reducing the fraction any further
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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it's tooooo easy who wants brain list
Answer:
1) Isosceles
2) Acute
3) Right angled
4( Obtuse
5) Equilateral
6th grade math! Help me please :))
Subtract 48-19=29 Correct me if I'm wrong.
That means it's 29 cups.
Answer:
29 cups
Step-by-step explanation:
step 1: since the liquid in the photo is shown to go up to between 18 and 20, it has to be 19 cups.
step 2: so she had 48 cups, right? and she used 19. so we have to subtract 19 from 48.
step 3: 48-19 = 29. she has 29 cups left..
i hope this helps!
Please help I’ll mark you as brainliest if correct
Answer:
D
Step-by-step explanation:
It's D
Answer:
Answer D
Step-by-step explanation:
Its right I just took the test.
Please help me with the answer ASAP
Answer:
105/5 i believe
Step-by-step explanation:
find x. Look in the picture for the shape.(it is The Pythagoras Theorem)
The value of x for the given right triangle is 65 cm.
RIGHT TRIANGLEA triangle is classified as a right triangle when it presents one of your angles equal to 90º. In this triangle from the trigonometric ratios or the Pythagoras Theorem (\(hypotenuse^2=(side_1)^2 + (side_2)^2\)), it is possible finding angles or sides. It is important to know that the hypothenuse is the greatest side of a right triangle.
In the question, the variable x is the hypotenuse and 60 is one of the legs of the right triangle. It is necessary to calculate the other leg. For this, you should apply the Pythagoras Theorem for the triangle whose legs are: 15 cm and 20 cm.
Thus,
h²=15²+20²
h²=225+400
h²=625
h=\(\sqrt{625}\)
h=25 cm
Now, you can find x.
x²=60²+25²
x²=3600+625
x²=4225
x=\(\sqrt{4225}\)
x=65 cm
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plz help me with this problem
Answer:
2/3 + 1/8 = 3/11 or 1-(2/3 + 1/8)=8/11
Step-by-step explanation:
To be honest addition or subtraction would be most used in theese types of problems so I think its 2/3 + 1/8 = 3/11 or either 1-(2/3 + 1/8)=8/11
slope intercept form of (-2,3) and (3, -2)
|2x| if x<0
Help please
The expression simplifies to |2x| = -2x, when x<0 by definition of absolute value
If x<0, then the expression |2x| simplifies to -2x.
The absolute value of a number is the distance of the number from zero on the number line.
Since x is negative in this case, 2x will be negative as well.
Taking the absolute value of -2x will give us the opposite of -2x, which is 2x.
However, since we know that x<0, this means that -2x will always be a positive number.
Hence, the expression simplifies to |2x| = -2x, when x<0.
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Complete question
Simplify the expression |2x| when x is less than 0, x<0
Use inductive reasoning to predict the most probable next number in the list.
3, 9, -3, 3, -9, -3, -15, -9, -21, ?
Need Help
Answer: -27
Step-by-step explanation: Use inductive reasoning to predict the most probable next number in the list.
3, 9, -3, 3, -9, -3, -15, -9, -21, ?
We can start by looking at the differences between consecutive terms in the list:
9 - 3 = 6 -3 - 9 = -12 3 - (-3) = 6 -9 - 3 = -12 -3 - (-9) = 6 -15 - (-3) = -12 -9 - (-15) = 6 -21 - (-9) = -12
Notice that the differences alternate between positive 6 and negative 12. This suggests that the pattern involves adding 6, then subtracting 12, and then adding 6 again. Applying this pattern to the last term in the list (-21), we get:
-21 + 6 = -15 -15 - 12 = -27 -27 + 6 = -21
Therefore, we predict that the most probable next number in the list is -27.
Rewrite 2/9+5/12 with a common denominator.
Step-by-step explanation:
direct add the upper both numerator and bottom both denominator ,Then you will get the answer,Then reduce it to lowest form
sorry for bad english
edit:Wrong answer
2/9 + 5/12
LCM = 36
=》2/9 = 2×4/9×4 = 8/36
=》5/12 = 5×3/12×3 = 15/36
2/9 + 5/12
= 8/36 + 15/36 (LCM = 36)
= 23/36 -----> 2/9 + 5/12 with a common denominator.
________
Hope it helps ⚜
An entrepreneur invests in a new play. The cost includes an overhead of $33,750 plus production costs of $1700 per performance. A sold-out performance brings in $2325 . Assume every performance is sold out, and let x represent the number of sold-out performances.
The entrepreneur's revenue is $2325x, entrepreneur's cost is $33,750 + $1700x and entrepreneur's profit from x sold-out performances is $625x - $33,750
The entrepreneur's revenue from x sold-out performances is given by the formula:
Revenue = (Price per Performance) x (Number of Performances)
Revenue = $2325 x x
Revenue = $2325x
The entrepreneur's cost from x sold-out performances is given by the formula:
Cost = Overhead + (Production Cost per Performance) x (Number of Performances)
Cost = $33,750 + $1700x
The entrepreneur's profit from x sold-out performances is the revenue minus the cost:
Profit = Revenue - Cost
Profit = $2325x - ($33,750 + $1700x)
Profit = $625x - $33,750
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please solve the question attached
1. Based on the producer theory, an increase in the demand for labor (L) would be caused by An increase in the productivity of labor, A decrease in the wage rate and A decrease in the rental rate of capital.
2. Missing variables in this simple producer theory would include The technology used to produce output, The preferences of consumers and Quality of labor and capital.
What more should you know about the producer thoery?In the standard producer theory, a producer minimizes costs for a given level of output.
This involves choosing the optimal mix of inputs, such as labor (L) and capital (K), to produce the desired output (y).
The cost function is represented by C = wL + rK, where w is the wage rate (cost of labor) and r is the rental rate (cost of capital).
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What are three consecutive multiples of 3 if 2/3
of the sum of the first
two numbers is 1 greater than the third number?
The three consecutive multiples of 3 are 15, 18 and 21
To solve this problem
First, let's determine three successive multiples of 3:
The subsequent two would be "x+3" and "x+6" if we call the initial number "x".
Since we are aware that the third number (x+6) is one more than the first two numbers (x + x+3), we can write the following equation:
2/3(x + x+3) = (x+6) + 1
Simplifying this equation, we get:
2/3(2x+3) = x+7
Multiplying both sides by 3, we get:
2(2x+3) = 3(x+7)
Expanding and simplifying, we get:
4x + 6 = 3x + 21
Subtracting 3x and 6 from both sides, we get:
x = 15
Therefore, the three consecutive multiples of 3 are 15, 18 and 21
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GIVING 100 PTS AND BRAINLIEST IF ALL ARE ANSWERED CORRECTLY NOT GUESSED WITH EVIDENCE IF YOU GET THEM ALL CORRECT I WILL THROW IN 200 POINTS
Answer:
hopefully i got this right lol
Step-by-step explanation:
First Question:
2, 1
Second Question:
I'm assuming the lawn is the shaded region, which to solve you will need to calculate the area of the trapezoid and then subtract that by the area of the building.
EQUATION for area of building: l*w
48 * 64 = 3072^2ft
EQUATION for area of trapezoid: (a+b)/2h
subsitute
(100 + 150)/2 (80) = 10000
10000 - 3072 = 6928^2 ft
Third Question:
Answer: 26 1/4
Explanation: In order to find the volume of any rectangular prism, you need to multiply the length, width, and height. In this case, the equation is: 6 * 1 1/4 * 3 1/2 = 26 1/4
Please help me with this math problem!
The g intercept is 15 and the t intercepts are 1, -5 , 3 fοr the given functiοn g(t) = (t-1) (t+5) (t-3).
What is a Functiοn?Functiοn is an expressiοn that describes the relatiοnship between twο variables.
An intercept is defined as the values where the functiοn crοsses the x and y axes.
The given functiοn is g(t) = (t-1) (t+5) (t-3)
Tο find the g intercept, put t = 0.
g(0) = (0-1) (0+5) (0-3)
= (-1) * (5) * (-3)
= 15
=> Thus, g intercept is 15.
Tο find the t intercepts, put g(t)= 0.
Since g(t) is already factοred, the intercepts are
t-1 = 0 ; t+5 = 0 ; t-3 = 0
t = 1 ; t = -5 ; t = 3
=> Thus, t intercepts are 1, -5, 3.
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The volumes, in ml, of olive oil can be modeled by a normal distribution, with mean 508 mL and standard deviation 12 ml.. a. Find the probability that a randomly selected bottle has a volume less than 500 mL. Round your answer to 3 significant figures. b. The probability that a randomly selected bottle has a volume greater than v mL is 0.366. Find the value of v.
A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean. The normal distribution appears as a "bell curve" on a graph.
Explain the normal distribution with an example?
One straightforward example of anything that has a normal distribution pattern is height: The majority of people are normal height, although there are nearly equal numbers of people who are taller or shorter than average and a very small (but roughly comparable) number who are either extraordinarily tall or extremely short.
The four properties of a normal distribution are visible here. The mean, median, and mode are all equal in normal distributions, which are symmetric, unimodal, and asymptotically distributed.
Add the mean to the x value in step 1. Subtract the difference from the standard deviation in step two. A value of 1380 has a z-score of 1.53. Thus, 1380 is 1.53 standard deviations away from the distribution's mean.
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Write the first three terms in the sequence given by the formula an = 8n + 4
Answer:
\(a_{1}\) = 12
\(a_{2}\) = 20
\(a_{3}\) = 28
Step-by-step explanation:
In order to find the values of the first three terms of this sequence we would have to substitute in the "n" values for the first three terms that we mention earlier so. So in order to find the value of the first term we will substitute n with 1 (since the first term will be written as \(a_{1}\), and as you see 1 will be equal to n, use the same logic for the other three terms) , in order to find the value of the second term the n would be substituted with 2, and for the third value we will substitute n with 3.
\(a_{1}\) = 8 x 1 + 4
\(a_{1}\) = 8 + 4
\(a_{1}\) = 12
Then.......
\(a_{2}\) = 8 x 2 + 4
\(a_{2}\) = 16 + 4
\(a_{3}\) = 20
And finally .......
\(a_{3}\) = 8 x 3 + 4
\(a_{3}\) = 24 + 4
\(a_{3}\) = 28
Please show work and thank you
The value of the perpendicular side d = 8.66 inches.
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides.
Given that:-
Base = 5 in
Angle = 60
By using trigonometry property:-
\(tan\theta =\dfrac{d}{B}\\\\\)
d = B x tan60
d = 5 x tan60
d = 8.66 in
Hence the value of the perpendicular side d = 8.66 inches.
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Hello! I'm stuck in answering what the Range, Domain of a sideways parabola. Picture attached.
ANSWER:
\(\begin{gathered} x=y^2-2 \\ \text{Domain:}\lbrack-2,\infty) \\ \text{Range:}(-\infty,\infty) \end{gathered}\)STEP-BY-STEP EXPLANATION:
It is a parabola that opens to the right side, which means that it has the form of y^2, it is also moved 2 units to the left, therefore, we must subtract 2 units from the function and it would look like this:
\(x=y^2-2\)The domain is the input values of a function, in this case it would be the interval of values that x can take and the range is the output values, that is, the interval of values that y can take.
Therefore:
\(\begin{gathered} \text{Domain:}\lbrack-2,\infty) \\ \text{Range:}(-\infty,\infty) \end{gathered}\)How many shipments had at least 10 broken tiles but less than 20 broken tiles ?
Answer:
5 shipments had at least 10 broken tiles but less than 20 broken tiles.
Given the equation for the distance a car goes, D = 8t - 4 solve for the time.
Answer:
t = \(\frac{D+4}{8}\)
Step-by-step explanation:
D = 8t - 4 ( add 4 to both sides )
D + 4 = 8t ( divide both sides by 8 )
\(\frac{D+4}{8}\) = t
EQUATIONS
=================================================================
What is the time in the formula?
It's t.
How to solve for time?
below!
d+4=8t > adding 4 to both sides
\(\frac{d-4}{8}=t}\) > dividing both sides by 8
Learn more;work harder
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===============================================================
Find the value of L that Will Maximize the profit Q=L²e^0.01L
The minimum profit occurs at L = 0, where Q = 0.
To find the value of L that maximizes the profit Q = L²\(e^{(0.01L)\).
We need to differentiate Q with respect to L and find the critical points where the derivative equals zero.
Then we can determine whether each critical point is a maximum or a minimum by examining the second derivative.
Testing for critical points:Q = L²\(e^{(0.01L)\)
Q' = \(2Le^{(0.01L)\) + \(0.01 L^2e^{(0.01L)\)
= 0(2L + 0.01L²) \(e^{(0.01L)\)
= 0L (critical point) or 200 \(e^{(0.01L)\)
= 0 (extraneous, ignore)
2L + 0.01L² = 0L(2 + 0.01L) = 0L = 0 or L = -200 (extraneous, ignore)
The only critical point is at L = 0.
Testing for maximum or minimum:Q'' = \(2e^{(0.01L)\) + 0.02Le^(0.01L) + 0.0001L²\(e^{(0.01L)Q''(0)\)
= \(2e^{(0)\) = 2Since Q''(0) > 0,
The critical point at L = 0 is a minimum.
Therefore, there is no value of L that maximizes the profit.
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The values of L that will maximize the profit are 0 and -200
Finding the value of L that will maximize the profitFrom the question, we have the following parameters that can be used in our computation:
\(Q = L\²e^{0.01L\)
Differentiate the function
So, we have
\(Q' = \frac{L \cdot (L + 200) \cdot e^{0.01L}}{100}\)
Set the equation to 0
\(\frac{L \cdot (L + 200) \cdot e^{0.01L}}{100} = 0\)
Cross multiply
\(L \cdot (L + 200) \cdot e^{0.01L} =0\)
When expanded, we have
L = 0, L + 200 = 0 and \(e^{0.01L} =0\)
When solved for L, we have
L = 0 and L = -200
Hence, the values of L are 0 and -200
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Someone pleases answer!
Answer:
Both are 65 degrees
Step-by-step explanation:
because you have parrallel lines, 2 would be the same as 65
Because 1 is on the opposite of 2, it would be the same
what is the product of 2/1 and (-2/3)?
Answer: -4/3 or - 1 1/3
Step-by-step explanation: 2 times -2 = -4 and 3 times 1 is 3.
J&L Electrical Services had a beginning balance (1 January 2019) in accounts receivable (debtors) of R200 000 and a beginning balance of allowance for credit losses of R4 000. During the financial year (1 January 2019 – 31 December 2019) they delivered services on credit for R660 000 and collected R640 000 from debtors. If J&L Electrical Services estimates that 2% of ending accounts receivable will not be collected, his adjusting journal entry will include a: A. credit to allowance for credit losses of R4 400. B. debit to allowance for credit losses of R400. C. debit to allowance for credit losses of R4 400. D. credit to allowance for credit losses of R400.
The adjusting journal entry will include a debit to the allowance for credit losses of R4,400.
the correct answer is C. debit to allowance for credit losses of R4,400.
To determine the adjusting journal entry for J&L Electrical Services, we need to calculate the ending balance of accounts receivable and the necessary adjustment for the allowance for credit losses.
Beginning balance of accounts receivable: R200,000
Services delivered on credit: R660,000
Collections from debtors: R640,000
To find the ending balance of accounts receivable, we subtract the collections from the sum of the beginning balance and services delivered on credit:
Ending accounts receivable = (Beginning balance + Services delivered) - Collections
Ending accounts receivable = (R200,000 + R660,000) - R640,000
Ending accounts receivable = R220,000
Now, we need to calculate the adjustment for the allowance for credit losses. J&L Electrical Services estimates that 2% of the ending accounts receivable will not be collected:
Allowance for credit losses adjustment = Ending accounts receivable * Estimated uncollectible percentage
Allowance for credit losses adjustment = R220,000 * 2% = R4,400
Since the allowance for credit losses has a beginning balance of R4,000, we need to increase it by R4,400 to match the estimated uncollectible amount:
the correct answer is C. debit to allowance for credit losses of R4,400.
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mary will spin the spinner below 150 times. about how many times should mary expect the spinner to land on a number greater than 5
Answer:
where is the spinner at least attact an attachment so i can see the spinner and how the odds of likely it can turn out
Step-by-step explanation:
Find the area of the outer rectangle and find the area of the smaller cut out rectangle subtract the smaller one form the larger one. (please help fast! )
The area of the outer rectangle is 15 in²
The area of the smaller cut out rectangle is 2 in²
The area of the figure is 13 in².
What is area?Area is the region bounded by a plane shape.
To calculate the area of the shape, we use the formula below
A = Area of the outer rectangle-Area of the smaller cut out rectangle................ Equation 1Area of the outer rectangle = LW...................... Equation 2Where:
L = Length of the outer rectangle = 5 inW = Width of the outer rectangle = 3 inSubstitute these values into equation 2
Area of the outer rectangle = 5×3 = 15 in²Also,
To calculate the area of the smaller cut out rectangle, we use the formula below
Area of the smaller cut out rectangle = lw......................... Equation 3Where:
l = 2 inw = 1 inSubstitute these values into equation 2
Area of the smaller cut out rectangle = 2×1 = 2 in²Hence, the area of the figure is = 15-2 = 13 in²
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