Answer:
Step-by-step explanation:
The question is misleading. It was not specified that his salary is Rs 9,600 per month. That is 115,200 yearly. Of that, 115,200- 85,000 = 30,200 is taxable.
tax = Rs 377.50/month = Rs 4,530/year
4,530/30,200 = 0.15 = 15%
Hello, I really struggle with math and I was wondering if you could help me with the following problem please? It will be much appreciated and I will give brainliest to the answer that explains it to make it the easiest. Thanks
Answer:
x=7
Step-by-step explanation:
Simplifying
3x + 2(4 + 6x) = 113
3x + (4 * 2 + 6x * 2) = 113
3x + (8 + 12x) = 113
Reorder the terms:
8 + 3x + 12x = 113
Combine like terms: 3x + 12x = 15x
8 + 15x = 113
Solving
8 + 15x = 113
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + 15x = 113 + -8
Combine like terms: 8 + -8 = 0
0 + 15x = 113 + -8
15x = 113 + -8
Combine like terms: 113 + -8 = 105
15x = 105
Divide each side by '15'.
x = 7
Simplifying
x = 7
Answer:
x=7
Step-by-step explanation:
3X+2(4+6X)=113
=> 3X +2x4+2x6X=113
=> 3X+8+12X=113
=> 3X+12X=113-8
=>15X=105
=>X=7
Casper write the algebraic expression 5b + 3.79. I represents the total cost, in dollars, of buying 5 bagels and a container of cream cheese. Identify any variables, coefficients, and termsin the expression. Tell me what each represents
Answer:
5 is a co efficient and b is a variable together is a term, 3.79 is a constant/term the whole equation is an expression.
The total cost of buying 5 bagels and a container of cream cheese is $28.79 and in the expression 5 is constant, b is variable, and 3.79 is constant representing the cost of the container.
What is an expression?An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.
For example 3x +5y
Given the expression for the total cost,
C = 5b + 3.79 where b is the number of bagels.
Cost of 5 bangles →
C = 5(5) + 3.79 =$ 28.79
Cost of container = $3.79
Thus b is the only variable and 5b represents the cost of bagels while by the sum of container cost 3.79 total costs are created.
Hence "The total cost is $28.39 and container cost is $3.79 while b is variable".
To learn more about expression,
https://brainly.com/question/14083225
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PUT THE NUMBERS IN ORDER FROM LEAST TO GREATEST.
-29/5^2
(1, 2.5)
4,21
5.5
6
9
DONT SKIP ILL GIVE 40 POINTS.!!!
Answer:
boop
Step-by-step explanation:
Contributions to the annual Grayson School fund raising campaign were 10% greater in 1984 than they were in 1983. In 1983, contributions were 15% greater than they were in 1982. If contributions for 1984 total $8855, what was the total in 1982?
Answer:
6774.075
Step-by-step explanation:
1984: 8855
1983: 8855*10/100=885.5
8855-885.5
7969.5
1982
7969.5*15/100=1195.425
7969.5-1195.425
6774.075
The scatter plot shows the test scores of a group of students who studied for different amounts of time in a week. A graph shows Hours Spent Studying on x axis and Test Score on y axis .The graph is shown with scale along x axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 100 at increments of 10. The ordered pairs 0, 21 and 0.8, 32 and 1.2,35 and 1.5,39 and 2.1, 42 and 2.3,45 and 2.5,49 and 2.7, 50 and 3, 67 and 4.6, 56 and 5, 69 and 5.3,70 and 5.7,74 and 6.4,78 and 7.2,80 and 7.5,84 and 8.5,88 and 8.7,92 and 9.5,96 are shown on the graph. What will most likely happen to the test scores of students if the number of hours they study increases? Test scores will increase because the graph shows a negative association. Test scores will increase because the graph shows a positive association. Test scores will decrease because the graph shows a positive association. Test scores will decrease because the graph shows a negative association.
Answer:
Test scores will increase because the graph shows a positive association.
Step-by-step explanation:
Since it is going upwards to the right instead of going downwards and for the people who steady more hours they get better scores on there test.
btw i just took it and got it right
From given scatter plot, if the number of hours they study increases then the test scores will increase because the graph shows a positive association.
What is scatter plot?"A type of data representation that shows the relationship between two numerical variables. "
What is positive association?"When the values of one variable tend to increase as the values of the other variable increase, then two variable have positive association."
What is negative association?"When the values of one variable tend to decrease as the values of the other variable increase, then two variable have negative association."
For given question,
The scatter plot shows the test scores of a group of students who studied for different amounts of time in a week.
A scatter plot shows Hours Spent Studying on x axis and Test Score on y axis .
Also we have been given the ordered pairs
(0, 21), (0.8, 32), (1.2, 35), (1.5, 39), (2.1, 42), (2.3, 45) and (2.5, 49) and (2.7, 50) and (3, 67) and (4.6, 56) and (5, 69) and (5.3, 70) and (5.7, 74) and (6.4, 78) and (7.2, 80) and (7.5, 84) and (8.5, 88) and (8.7, 92) and (9.5, 96)
From the given data points of scatter plot,
as x - value increases, y - value also increases.
This means, if the number of hours they study increases, the test scores will increase.
Here, the values of one variable tend to increase as the values of the other variable increase.
This means, there is positive association in variables Hours Spent Studying and Test Scores.
Therefore, from given scatter plot, if the number of hours they study increases then the test scores will increase because the graph shows a positive association.
Learn more about the positive association here:
https://brainly.com/question/858660
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Y really help in this problem !
I will give you 40 points
Answer:
160
Step-by-step explanation:
5
After simplifying the expressions on each side of an equation, you observed that the coefficients of x and the constants
on each side of the equal sign were the same. What kind of solution(s) do you expect for this equation?
No solution
Infinitely many solutions
One unique solution
T
Answer:
The solution has infinitely many solutions.
Step-by-step explanation:
Correct option is - The solution has infinitely many solutions.
The expression is of the form -
ax + b = ax + b
In the expression , any value of x will satisfy
So, we get infinitely many solution
For example -
for x = 1
a(1) + b = a(1) + b
⇒ a + b = a + b
satisfied.
for x = 2
a(2) + b = a(2) + b
⇒ 2a + b = 2a + b
satisfied.
Hereon, for any value of x , it satisfies.
Use the substitution method to solve the system of equations. choose the correct ordered pair.x+y=12 -x=-y+10
Answer:
x=1 y=11
Step-by-step explanation:
Solve the following equation.
4x - 2 = 22-8x
Answer:
x = 2
Step-by-step explanation:
4x - 2 = 22 - 8x
Move all variables to a single side by adding 8x to both sides of the equation.
4x + 8x - 2 = 22 - 8x + 8x
12x - 2 = 22
Add 2 to both sides to move the constants to one side.
12x - 2 + 2 = 22 + 2
12x = 24
Divide both sides by 12 to isolate the x.
12x / 12 = 24 / 12
x = 2
Answer:
x = 2
Step-by-step explanation:
Add 2 to both sides.
4x - 2 +2 = 22 - 8x + 2
Simplify.
4x=-8+24
Add 8x to both sides.
4x+8x= -8x + 24 + 8x
Simplify.
12x = 24
Divide both sides by 12.
12x/12 = 24/12
Simplfy.
x = 2
hope this helps! :)
Will mark brainliest for correct answer, due soon!
circumference = pi*d
70cm*pi = 219.8cm
219.8cm × 240 rev = 52752 cm
52752cm/100 = 528m
Ill mark brainliest please answer!
Answer:
Step-by-step explanation:
You can change radicals to fractional exponents and vice versa. The 1/2 power means square root. The 1/3 power means the cubed root. etc etc
A:) [tex](81)^\frac{1}{2} =\sqrt{81} =9[/tex]
B:) [tex](125)^\frac{1}{3} =\sqrt[3]{125} =5[/tex]
C:) [tex](49)^\frac{3}{2}=\sqrt{(49)^3} =343[/tex]
D:) [tex](8)^\frac{5}{3}=\sqrt[3]{(8)^5}=32[/tex]
An article in Fire Technology, 2014 (50.3) studied the effectiveness of sprinklers in firecontrol by the number of sprinklers that activate correctly. The researchers estimate the probability of a sprinkler to activate correctly to be 0.7. Suppose that you are an inspector hired to write a safety report for a large ballroom with 10 sprinklers. Assume the sprinklers activate correctly or not independently.
Required:
a. What is the probability that all of the sprinklers will operate correctly in a fire?
b. What is the probability that at least 7 of the sprinklers will operate correctly in a fire?
c. What is the minimum number of sprinklers needed so that the probability that at least one operates correctly is at least 0.98?
Answer:
0.028 ; 0.649 ; 4
Step-by-step explanation:
P(correctly activation), p = 0.7
Number of sprinklers, n = 10
q = 1 - p = 1 - 0.7 = 0.3
Using the binomial probability relation :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
Probability that all sprinklers activate correctly;
P(x = 10) = 10C10 * 0.7^10 * 0.3^0
P(x = 10) = 1 * 0.0282475249 * 1
P(x = 10) = 0.028
Probability that atleast 7 will operate correctly :
P(x ≥ 7) = p(x = 7) + p(x = 8) + p(x = 9) + p(x = 10)
P(x ≥ 7) = 0.267 + 0.233 + 0.121 + 0.028
P(x ≥ 7) = 0.649
3.)
Probability of atleast 1 operates :
P(x ≥ 1) = 0.98
1 - probability of 0 operates
1 - p(x =0)
P(x = 0) = nC0 * 0.7^0 * 0.3^n = 0.02
Recall :
nC0 = 1 ;
1 - p(x = 0)
P(x = 0) = 1 * 1 * 0.3^n = 0.02
0.3^n = 0.02 - - - (1)
0.3^3.24 = 0.02 - - - (2)
Comparing (1) and (2)
n = 3.24
Since, n cannot be a fraction ;
Then n is rounded to the next whole number = 4
The square pyramid shown below has a base with sides of 101010 units. The slant height of the pyramid is 888 units.
Answer:6.12
Step-by-step explanation:
got the answer right
Answer:
on khan the answer is 6.12
I PUT THE PICTURE ALONG WITH THIs. SOMEONE PLEASE PLZ PLZ PLZ PLZ HELP ASAP.
Answer:
get math it will help you
Step-by-step explanation:
Puzzles are packaged in groups of 3. If the store has 183 nature puzzles and 165 animal puzzles, how many packages of puzzles are there?
Answer: 116 packages
Step-by-step explanation:
From the question, we are informed that Puzzles are packaged in groups of 3 and that the store has 183 nature puzzles. The number of packages here will be:
= 183/3
= 61 packages
For the 165 animal puzzles, the number of packages will be:
= 165/3
= 55 packages
The total number of packages of puzzles will be:
= 61 + 55 packages
= 116 packages
Answer:
116
Step-by-step explanation:
First find total number of puzzles.
183+165=348
Then divide the total puzzles by puzzles in a package (3)
348÷3=
116 packages of puzzles
the diameter of a circle is 19 meters complete the description of how you would find the circumference
Answer:
Then substitute 3.14 for pi and 19 for the diameter.
The image shows the circumference formula.
19/2=9.5
C = 2(9.5)times pi.
C = 19 times 3.14
3.14 times 19 ≈ 59.69
PLEASE HELP ;-; Ill GIVE BRAINLY
What is the solution to the following system of equations? Explain how you know.
Answer:
-3,1
Step-by-step explanation:
When you are doing Systems Of Equations using a graph, the point where the lines intersect is your answer
Would the hypotenuse of a right triangle with a vertical length of 6 and a horizontal length of 10 have the same slope as the hypotenuse of the blue and red
triangles shown in the graph?
Is 15/16 bigger than less than or equal to 1/2
Answer:15/16 > 1/2
Step-by-step explanation:
Answer:
15/16 is greaterStep-by-step explanation:
Select all the equations where x = 3 is a solution.
Choose 2 answers:
3
5-2= 2
82 = 32
22 - 10 = 7
homework 1 relations domain range and functions 3-8
Answer:
Step-by-step explanation:
Domain - Set of x-values
Range - Set of y-values
3). Since, x values vary from x = -6 to x = 5,
Domain of the graph = [-6, 5]
Since, y-values vary from y = -2 to y = 3
Range of the graph = [-2, 3]
4). Domain of the graph = [-3, 3]
Range of the graph = [-6, 5]
5). Domain of the graph = (-∞, ∞)
Range of the graph = (-∞, ∞)
6). Domain of the graph = (-∞, 4]
Range of the graph = (-∞, ∞)
7). Domain of the graph = (-∞, ∞)
Range of the graph = [-1, 5]
8) Domain of the graph = [-1, 5)
Range of the graph = [-3, 3)
Answer:
Step-by-step explanation:
A Cepheid variable star is a star whose brightness alternately increases and decreases. Suppose that Cephei Joe is a star for which the interval between times of maximum brightness is 6 days. Its average brightness is 3.5 and the brightness changes by /-0.25. Using this data, we can construct a mathematical model for the brightness of Cephei Joe at time t, where t is measured in days: B(t)=4.2 +0.45sin(2pit/4.4)
A) Find the rate of change of the brightness after t days.
B) Find the rate of increase after one day.
Answer:
a) The rate of change of the brightness after t days is [tex]B^{\prime}(t) = 0.204525\pi\cos{(0.4545\pi t)}[/tex]
b) The rate of increase after one day is of 0.0915.
Step-by-step explanation:
The brightness after t days is given by:
[tex]B(t) = 4.2 + 0.45\sin{(\frac{2\pi t}{4.4})} = 4.2 + 0.45\sin{(0.4545\pi t)}[/tex]
A) Find the rate of change of the brightness after t days.
This is [tex]B^{\prime}(t)[/tex]
The derivative of a constant is 0, the derivative of [tex]\sin{at}[/tex] is [tex]a\cos{at}[/tex]
So, in this case, we have that:
[tex]B^{\prime}(t) = 0.45*0.4545\pi\cos{(0.4545\pi t)} = 0.204525\pi\cos{(0.4545\pi t)}[/tex]
The rate of change of the brightness after t days is [tex]B^{\prime}(t) = 0.204525\pi\cos{(0.4545\pi t)}[/tex]
B) Find the rate of increase after one day.
This is [tex]B^{\prime}(1)[/tex]. So
[tex]B^{\prime}(1) = 0.204525\pi\cos{(0.4545\pi)} = 0.0915[/tex]
The rate of increase after one day is of 0.0915.
BRAINLY Find the surface area of the pyramid.
Answer:
100 square centimeters
Step-by-step explanation:
Can someone help me im having a hard time
-8=1/2(-4)+b what is b
Answer: -6
Step-by-step explanation:
Answer:
B = - 6
Step-by-step explanation:
Multiply the numbers
[tex]-8=\frac{1}{2} (-4)+b\\-8=-2+b\\[/tex]
Rearrange terms
[tex]-8=-2+b\\-8=b-2[/tex]
Add 2 to both sides of the equation
[tex]-8=b-2\\-8+2=b-2+2[/tex]
Simplify
Add the numbers
Add the numbers
Move the variable to the left
[tex]b=-6[/tex]
Write formulas for the following mathematical statement.
The difference between the selling price and cost price is profit.
(1 Point)
profit=S.P-C.P
profit=S.P+C.P
profit=C.P-S.P
profit=C.P+S.P
Answer:
[tex]Profit = SP - CP[/tex]
Step-by-step explanation:
Given
[tex]S.P = Selling\ Price[/tex]
[tex]C.P = Cost\ Price[/tex]
Required
Represent the profit, mathematically
The profit is the difference between SP and CP.
This is represented as:
[tex]Profit = SP - CP[/tex]
5 ^ 3 + 1/2 ^ 2.
I need help.
Answer:
125.25
Step-by-step explanation:
5 cube =125
1/2=0.5
0.5 squared =0.25
125+0.25=125.25
Halla tres enteros consecutivos tales que 4 veces el entero del medio es 6 más que la suma del primero y el tercero
Jennifer is saving money to buy a bike. The bike costs $258. She has $125 saved, and each week she adds $19 to her savings.
How long will it take her to save enough money to buy the bike?
It will take her___
weeks to save for the bike.
Answer:
7 weeks
Step-by-step explanation:
Answer:
7 weeks
Step-by-step explanation:
Find the equation of the exponential function represented by the table below:
Answer:
[tex]y =5(3)^x[/tex]
Step-by-step explanation:
Given
The attached table
Required
Determine the equation of the table
The table represents an exponential function. So, we make use of
[tex]y = ab^x[/tex]
When x = 0, y= 5.
So:
[tex]y = ab^x[/tex] becomes
[tex]5 = ab^0[/tex]
[tex]5 = a*1[/tex]
[tex]5 = a[/tex]
[tex]a = 5[/tex]
When x = 1; y = 15
So;
[tex]y = ab^x[/tex] becomes
[tex]15 = a * b^1[/tex]
[tex]15 = a * b[/tex]
Substitute 5 for a
[tex]15 = 5 * b[/tex]
Divide both sides by 5
[tex]\frac{15}{5} = \frac{5 * b}{5}[/tex]
[tex]3 = b[/tex]
[tex]b = 3[/tex]
Substitute values for a and b in: [tex]y = ab^x[/tex]
[tex]y =5(3)^x[/tex]