'The leangth of the shortcut is: '
guessing- '75'
Hope this helps!
Dave can clean pools at a constant rate of 3/5 pools/hour. How long does it take Dave to clean 15 pools?
9 hours will it take to clean the 15 pools.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Dave can clean pools at a constant rate of 3/5 pools per hour.
This also means that he cleans 3 pools in 5 hours
So, the time taken to clean 15 pools is
= 15×3/5
= 9 hours.
Hence, the time taken is 9 hours.
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Calculate the size of angle ABC
Therefore , the solution of the given problem of trigonometry comes out to be B = arcsin(9/14) - 180° = 140.0°.
Describe trigonometry.Correlations between triangles' angles and sides are studied in the branch of mathematics known as trigonometry. Since every straight-sided form may be reduced to a collection of triangles, trigonometry can be found throughout geometry. The relationships between trigonometry and other branches of mathematics, in particular calculus, real or complex, infinite series, logarithms, and infinite series, are astonishingly complicated.
Here,
There are two potential solutions because the supplied angle is opposite the given side that is the shortest.
Using the sine law,
B = b/asin(A)arcsin(9/7sin(30°))arcsin(9/14)
Angle B may take on the following values:
B is equal to arcsin(9/14) = 40.0°.
B = arcsin(9/14) - 180° = 140.0°
Therefore , the solution of the given problem of trigonometry comes out to be B = arcsin(9/14) - 180° = 140.0°.
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jena bought $8 shirt and paid $8.48 with a sales tax. what is the percent of sales tax
Answer:
48 cents
Step-by-step explanation:
Answer:
48 cents
Step-by-step explanation:
The figure shown contains 3 squares and 1 right triangle. What is the length of the hypotenuse of the triangle? Explain how you found your answer
the length of the hypotenuse is ???? cm
In order to find the hypotenuse of the triangle
We need to find the other sides of a right triangle
Length of the 1st side of a right triangle is connected with a square with area 144[tex]cm^{2}[/tex]
Hence in order to find the side we
[tex]\sqrt{144} = side[/tex]
[tex]12 = side[/tex]
Length of the second side is connected to a small square with area 25[tex]cm^{2}[/tex]
[tex]\sqrt{25} = side[/tex]
[tex]5 = side[/tex]
Now we can find the hypotenuse of a right triangle with the phytogorean theorem
[tex]a^{2}+ b^{2} = c^{2}[/tex]
[tex]12^{2}+ 5^{2} = c^{2} \\169 = c^{2}[/tex]
[tex]\sqrt{169}= c[/tex]
[tex]13 = c[/tex]
Hence , the hypotenuse of a right triangle is 13cm
In the given right angled triangle ABC, right
angled at B. P is the mid-point of AC. Prove that
BP=1/2AC
The right angled triangle is missing, so i have attached it.
Answer:
Proved below
Step-by-step explanation:
From the attached image, we can see that QP is parallel to BC.
Now, looking at triangles AQP and ABC, we can see that;
∠ AQP = ∠ ABC
Also;
∠ APQ = ∠ ACB
This means that triangles ABC and AQP are similar.
We are told that P is the mid-point of AC.
Thus; AP = PC
We can now say that;
AP:AC = 1:2 and AQ:AB = 1:2
Since AQ:AB = 1:2, it means Q is the midpoint of AB.
Now, ∠ AQP = ∠ BQP
However, according to SAS congruence test, AQP is congruent to BQP.
Thus; AP = BP = CP
Since AP:AC = 1:2 as we saw earlier, then;
BP:AC = 1:2
Thus:
BP/AC = ½
BP = ½AC
Please help with us math work
Following are the mathematical operations for the numerics.
Mathematical operations -An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands.
In mathematics, addition, subtraction, multiplication, division, and modular forms are the five basic operations.
Calculating a value using operands and a math operator is referred to as performing a mathematical "operation." The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers. Image: The basic mathematical operation symbols. A set of numbers and operations make up a mathematical expression.
24 × 3/4 = 1824 ÷ -3/4 = -3212 - 15 = -312 - 15 = 27-18 ÷ -3/4 = 24To learn more about Mathematical operations from given link
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what is 12/90 pls help tysm!
Answer:
Hi! Not sure if this is the answer you're looking for, but 12÷90 is 0.13333333333 repeating :)
Answer:
12/90 as a decimal is 0.13333333333 recurring
Step-by-step explanation:
simplified it should be 2/15
The circle graph shows the result of an employment survey of 800 people how many of the people surveyed were unemployed?
Answer:
40
Step-by-step explanation:
solvve for z: (1st answer or nice and detailed answer brainliest)
1/2z+5=57
[tex]\dfrac{1}{2} z+5=57[/tex]
Subtract 5 from both sides:
[tex]\dfrac{1}{2} z+5-5=57-5[/tex]
[tex]\dfrac{1}{2} z=52[/tex]
Multiply both sides by 2:
[tex]2\times(\dfrac{1}{2} z)=2\times(52)[/tex]
[tex]\fbox{z = 104}[/tex]
Answer:
z=104
Step-by-step explanation:
1/2z=57-5
1/2z=52
1/2z*2=52*2
1z=104
1/1z=104/1
z=104
The number of years each employee has worked for a company is shown in the dot plot. What percentage of the employees have worked for the company for exactly 35 years? a 20% b35% c5%D 6%
Answer:
Step-by-step explanation:
if your doisjw0= and yes it would be 35%
Ms. Handcox took 36 of the 45 students to
Studio Movie Grill to celebrate the success
of beating Ms. Benjamin's class on the
CCA. Which decimal is equivalent to the
fraction of students who attended the
movies?
Answer:
0.8
Step-by-step explanation:
36/45
4/5
80/100
0.8
Does 3 3 have a solution?
Given equation 3 = 3 is an identity, so it has infinite solutions.
Consider the given mathematical equation 3 = 3
We need to check whether the given mathematical equation has solution or not.
We know that a statement 3 = 3 's true no matter what.
We can observe that for given statement 3 = 3, there's no variable in sight.
This means, 3 = 3 must has infinite solutions.
We know that an equation which is always true, no matter what values we substituted is called as an identity.
This equation is an identity, all real numbers are solutions.
Therefore, the equation 3 = 3 have infinitely many solutions.
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Plzzz help I need a answer . farmer buys donkeys and horses for R53 800 . Altogether he buys 100 Animals . The price of the horse is R730 and of a donkey is R 230 . How many of each animal did he buy ?
Answer: horse = 61.6
donkey = 38.4
Step-by-step explanation:
Let number of donkey be d
Let number of horse be h
Based on the question given, we can form an equation which will be:
d + h = 100 ........ i
230d + 730h = 53800 ........ ii
Multiply equation i by 230
230d + 230h = 23000 ...... iii
230d + 730h = 53800 ....... iv
Subtract iii from iv
500h = 30800
h = 30800/500
h = 61.6
Since d + h = 100
d = 100 - 61.6 = 38.4
Which fraction is equivalent to -3/2
A) 3/-2
b) -(3/-2)
C) -3/-2
D) -(-3/2
HELP ASAP PLS
Answer: A
Step-by-step explanation: The other answer choices have 2 negatives which cancel and make a positive number.
what is 4,600,000 in scientific notation?
Answer:
Step-by-step explanation:
4.6 x 10^6
Answer:
4.6 x 10^6
Step-by-step explanation:
Please help will give Brain liest
Answer:
Lauren will finish the race faster 7 seconds faster, and 14 meters ahead.
Step-by-step explanation:
To answer this question, I will use the strategy of finding the slope of each of the proportional relationships (y = 8x for Lauren's run and y = ?x for Amani's run). The slope represents the rate at which the distance changes for each unit of time, so the person with the greater slope will finish the race faster.
To find the slope of Amani's run, I will use the tool of point-slope form, which is y - y1 = m(x - x1). I will plug in the coordinates for the second point listed in the table for Amani's run (5 seconds and 30 meters) to get y - 30 = m(5 - x1). Since I don't know the value of x1, I will solve for it in terms of m. I get x1 = 5 - (30/m).
Next, I will plug in the coordinates for the first point listed in the table for Amani's run (3 seconds and 18 meters) into the equation y - 30 = m(5 - (30/m)). I get 18 - 30 = m(5 - (30/m)). Solving for m, I find that Amani's run has a slope of m = -6.
Since Lauren's run has a slope of 8 and Amani's run has a slope of -6, Lauren will finish the race faster. To find out by how much, I will use the tool of proportional reasoning. Since the slope represents the rate at which the distance changes for each unit of time, the difference in the slopes (8 - (-6)) represents the difference in the rate at which the distance changes for each unit of time between the two runs. The difference is 14, so Lauren will finish the race 14 meters ahead of Amani for each second that they run. Since the race is 100 meters long, Lauren will finish the race approximately 7 seconds faster than Amani.
How do you create a function in forex?
A trader can create their own automated trading strategies in forex by writing a script or program in a programming language, such as MQL4 or Python. This script will contain instructions to execute trades according to specific criteria defined by the trader. They can then backtest the strategy to see how it performs.
1. Decide on a trading strategy. This could include things like setting entry and exit points, calculating position sizes, and setting stop losses and take profits.
2. Choose a programming language that is compatible with the trading platform you are using, such as MQL4 or Python.
3. Write the script or program that will contain the instructions for the trading platform to follow in order to execute the trading strategy.
4. Test the script or program to make sure it works properly.
5. Run a backtest to see how the trading strategy performs.
6. If the results of the backtest are satisfactory, you can deploy the trading strategy on the trading platform.
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solve the equation 2x+4 1/5=9. Explain the steps and properties you used.
Answer:
x = 2 2/5
Step-by-step explanation:
I will insert an image of my work below
The value of x is 12/5 from the equation 2x+[tex]4\frac{1}{5}[/tex]=9
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 2x+[tex]4\frac{1}{5}[/tex]=9
Two times of x plus four and one fifth equal to nine.
Convert the mixed fraction to improper
[tex]4\frac{1}{5}[/tex]=21/5
Now the equation will be 2x+21/5=9
Now subtract 21/5 from both sides by substitution property
2x=9-21/5
2x=45-21/5
2x=24/5
Divide both sides by two by division property.
x=24/10
x=12/5
Hence, the value of x is 12/5 from the equation 2x+[tex]4\frac{1}{5}[/tex]=9
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Please help
Dean collected data on the favorite sports of the students of two grades. The table shows the relative frequencies of rows for the data collected:
Favorite Sport
Swimming Running Volleyball Row totals
Grade 8 0.17 0.24 0.05 0.46
Grade 9 0.14 0.18 0.22 0.54
Column totals 0.31 0.42 0.27 1
Based on the data, which statement is most likely correct?
In Grade 8, 17 students liked swimming.
In Grade 9, 27% of students liked volleyball.
In Grade 9, 14 students liked running.
In Grade 9, 18% of students liked running.
Based on the data, the statement that is most likely correct is D. In Grade 9, 18% of students liked running.
How to illustrate the information?The ratio (fraction or proportion) of the number of times a data value appears in the set of all outcomes to the total number of outcomes is known as the relative frequency.
From the information, the Dean collected data on the favorite sports of the students of two grades.
Here, the table shows the relative frequencies of rows for the data collected:
Swimming Running Volleyball Row totals
Grade 8 0.17 0.24 0.05 0.46
Grade 9 0.14 0.18 0.22 0.54
Column totals 0.31 0.42 0.27 1
In the table, Grade 9, 18% of students liked running. This is Illustrated above. The correct option is D.
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a cell phone company has a basic monthly plan of $40 plus $0.45 for any minutes used over 700. Before receiving his statement, John saw he was charged a total of $48.10. Write and solve an equation to determine how many minutes he must have used during the month. write an equation without decimals.
Answer: 718
Step-by-step explanation:
The formula for determining the cost of the cell phone bill (when more than the base number of minutes is used) is
c=p+(m−b)r
Where:
c is the total cost of the bill: $48.10 for this problem.
p is the base price of the plan: $40 for this problem.
m is the number of minutes used: what we are solving for this problem.
b is the base number of minutes allowed: 700 for this problem
r is the rate for additional minutes: 0.45 for this problem
Substituting and solving for m gives:
$48.10 = $40.00 + (m − 700)$0.45
$48.10 − -$40- = $40.00 − -$40- + (m − 700)$0.45 $8.10= 0 + (m−700)$0.45
$8.10 = (m - 700)$0.45
$8.10 = ($0.45 × m) − ($0.45 × 700)
$8.10 = $0.45m − $315.00
$8.10 + -$315.00- = $0.45m − $315.00 + -$315.00-
$323.10 = $0.45m − 0
$323.10 = $0.45m
[tex]\frac{323.10}{-0.45-}=\frac{0.45m}{-0.45-}[/tex] (Money)
[tex]\frac{323.10}{0.45}=\frac{0.45m}{0.45}[/tex] (Money): cross out the dollar sign for 323.10 and 0.45 under it... then cross out 0.45m but leave the m, and then cross out 0.45 under it.
[tex]\frac{323.10}{-0.45-}=m[/tex]
718 = m
m = 718
John used 718 total minutes during the month.
if x-3 is directly proportional to the square y and x=5 when y=2 find x when y=6
Answer:
If x-3 is directly proportional to the square of y, then we can say that:
(x-3) = ky^2
Where k is a constant of proportionality.
If x=5 when y=2, we can substitute these values into the equation to find the value of k:
(5-3) = k(2)^2
2 = 4k
k = 0.5
Now that we have the value of k, we can use it to find the value of x when y=6:
(x-3) = (0.5)(6)^2
x-3 = 18
x = 21
So, if x is directly proportional to the square of y and x=5 when y=2, then x=21 when y=6.
please help will mark brainliest
Answerhold on I got you
Step-by-step explanation:
The population of cats in a rural neighborhood has declined in the last year by roughly 30%. Residents hypothesize that this is due to wild coyotes preying on the cats. The current cat population is estimated to be 120. Approximately, how many cats were there originally?
Answer:
Orinal number of cats= 171
Step-by-step explanation:
Giving the following information:
Decrease in population= 30%
Current population= 120
To calculate the original number of cats, we need to use the following formula:
Orinal number of cats= current population / (1 - decrease)
Orinal number of cats= 120 / (1 - 0.3)
Orinal number of cats= 171
fraction bigger than 2 out of 5 and smaller than 2 out of 3. When i divided numerator by denominator , it will be 0.533.
The fraction that is bigger than 2/5 and smaller than 2/3 is 8/15.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Let the fraction be a/b.
2/5 < a/b < 2/3
Now,
a/b
= (2/3 + 2/5) / 2
= (10 + 6) / 30
= 16/30
= 8/15
= 0.533
Thus,
The fraction is 8/15.
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a 2000 investment doubles in value every 5 years. the function f(x)=2000•2^x/5 represents the value of the investment after x years. How much will the investment be worth after 18 years?
Please help
me find the product
Answer:
cant answer sorry i didnt realize it was an equation
Step-by-step explanation:
7/2x+1 + 4/4x+2, x≠-1/2
Step-by-step explanation:
[tex] \frac{7}{2x + 1} + \frac{4}{4x + 2}[/tex]
[tex] =\frac{7(4x + 2) + 4(2x + 1)}{(2x + 1)(4x + 2)}[/tex]
[tex]= \frac{28x + 14 + 8x + 4}{(2x + 1)(4x + 2)}[/tex]
[tex]=\frac{36x + 18}{(2x + 1)(4x + 2)} [/tex]
[tex]=\frac{9(4x + 2)}{(2x + 1)(4x + 2)}[/tex]
[tex]=\frac{9}{2x + 1}[/tex]
Jerry works twice as fast as Kenny. If jerry works for 2 hours and is then joined by Kenny and they work an additional 3 hours how fast could they each do the job alone?
Answer: 1 hour
Step-by-step explanation:
Plz, help me with this question!
Answer:
don't know that sorry can you help me though
Answer:
D. 19
Step-by-step explanation:
veritically opposite angles are congruent so:
8x+2=154
8x=154-2
8x=152
x=152/8
x=19
hope this helps!! :D
Find the equation of the line that passes through (1,3) and is perpendicular to y=2x−1. Leave your answer in the form y=mx+c
Answer:
y = -1/2x + 3.5
Step-by-step explanation:
In order to pass through the point (1, 3), and is perpendicular to y = 2x - 1, then the line must be y = -1/2x + 3.5. Hope this helps!