A man got a 10% increase in his salary. If his new salary is Rs 1,54,000, find his original salary.
we will say that his original salary is x
x+10x/100=154000
we bring to the same denominator
(100x+10x)/100=154000
we multiply with 100
110x=15400000
we divide by 110
x=140.000
13857552359.3 rounded by it nearest whole number. I will give the brainliest. Please help!
Answer:
13857552359
Step-by-step explanation:
13857552359.3
3 is less than 5, so round down to 13857552359
Answer:
what is given: 13857552359.3
Ones: 13857552359
Tens: 13857552360
Hundreds: 13857552400
Thousands: 13857552000
Millions: 13858000000
Hint: Each of the numbers are different
P.S I put all of them because you didnt say which whole number you wanted
Hope this helped!
The whole number 24 is equivalent to
Answer:
24/1 please mark as brainliest
plzz help
find value of following : 2sin75°.cos15°
Answer:
[tex]\frac{2+\sqrt{3} }{2}[/tex]
Step-by-step explanation:
Using the product to sum formula
sinxcosy = [tex]\frac{1}{2}[/tex] [ sin(x + y) + sin(x - y) ] , then
2sinxcosy = sin(x + y) + sin(x - y)
Given
2sin75°cos15° ← with x = 75 and y = 15 , then
= sin(75 + 15) + sin(75 - 15)
= sin90° + sin60°
= 1 + [tex]\frac{\sqrt{3} }{2}[/tex]
= [tex]\frac{2+\sqrt{3} }{2}[/tex]
15 + 20x = 18 + 20x
Please help him determine the value of x, if any, that makes
the equation true. Explain how you know and what your
answer means in terms of solutions.
15+20x=18+20x
20x+15=18+20x
2. then you want to rearrange the terms again:20x+15=18+20x
20x+15=20x+18
3.Subtract 15 from both sides of the equation:20x+15=20x+18
20x+15-15=20x+18-15
4.Simplify:1.subtract the numbers
20x=20x+3
5.Subtract the 20x from both sides of the equation:20x=20x+3
20x-20x=20x+3-20x
6.Simplify1.combine like terms
0=3
or x=3A simple interest of Ghc 37,500.00 is earned on an amount of Ghc 500,000.00 for three years. Find the rate of interest per annum?
Answer:
2.5%
Step-by-step explanation:
A simple interest of Ghc 37,500.00 is earned on an amount of Ghc 500,000.00 for three years. Find the rate of interest per annum?
The formula for Rate of Interest in a simple interest is given as:
r = (1/t)(A/P - 1)
Where
t = time in years = 3 years
P = Principal = Initial amount invested = Ghc 500,000.00
A = Amount after t years =
Principal + Simple Interest
= Ghc 500,000.00 + Ghc 37,500.00
= Ghc 537,500.00
Hence:
The rate of interest = (1/3) × (Ghc 537,500.00/Ghc 500,000.00 - 1)
= r = 0.025
Converting r decimal to R a percentage
R = 0.025 × 100 = 2.5%/year
Therefore, the rate of interest per annum is 2.5%
Determined an equation for the pictured graph
Cho is making a rectangular garden, where the length is x feet and the width is 2x + 8 feet. He wants to add garden stones around the perimeter of the garden once he is done.
If the garden is 5 feet long, how many feet will Cho need to cover with garden stones?
Cho will need to cover _______ feet with garden stones.
Answer:
38 feet
Step-by-step explanation:
P(x) = ℓ(x) + ℓ(x) + w(x) + w(x)
= x + x + (4x - 1) + (4x - 1)
= (x + x + 4x + 4x) + (-1 -1)
= 10x - 2
P(4) = 10(4) -2 = 38
The perimeter is 38 feet when the length is 4 feet long, so Cho will need to
cover 38 feet with garden stones.
What is the difference of the fractions? 7/8 - 5/8
Answer:
7/8 - 5/8 = 2/8. 2/8 simplified is 1/4
Step-by-step explanation:
P.S Can I have brainliest?
Trey takes the angle shown, places the point of his compass on S, and draws an arc with an arbitrary radius intersecting the rays of the angle at P and R. Trey claims that as long as he draws two more arcs by placing the needle of his compass on P and then on R, drawing a ray from S through the point at which the arcs intersect, he will be able to bisect ∠S. Is Trey correct?
A. Trey is correct. Since the initial arc was drawn with the point of the compass on S, RS=PS.
B. Trey is not necessarily correct. He will need to ensure that the compass width remains the same for each arc drawn from P and R.
C. Trey is correct. Since the compass is placed on the points P and R to draw the remaining two arcs, the ray drawn through their intersection will bisect the angle.
D. Trey is not necessarily correct. He will need to ensure that the distance from S to P and the distance from S to R are equal.
Answer:
b
because he isnt fight nor wrong
Step-by-step explanation:
Terence uses 1/3 pound of clay to make 5 ornaments. He uses the same amount of clay for each ornament. How much clay does Terence use for each ornament?
Which division expression represents this problem:
A - 3 / 1/5
B - 1/4 / 5
C - 5 / 1/3
D - 1/3 / 5
graph each equation using slope and y-intercept. plot 3 points and find m and b.
(SHOW ALL WORK)
Answer:
Hope this helped you!! Have a Wonderful Day!!
Step-by-step explanation:
help it’s also not D :)
Answer:
the answear is c
Step-by-step explanation:
i learnt in class that the number with the letter is used to divide what it equalls
Answer:
C
Step-by-step explanation:
Step 2 is correct, that is
8x = 10 ( divide both sides by 8 ), error made here by dividing by 10
x = [tex]\frac{10}{8}[/tex]
x = [tex]\frac{5}{4}[/tex]
The error was made at step 3
Find the slope of the line between the coordinates (-6, -13) and (3, -1) and simplify the fraction if needed.
Answer:
The slope is 1 1/3.
Step-by-step explanation:
[tex]m=\frac{y2-y1}{x2-x1} \\m=\frac{-1-(-13)}{3-(-6)}\\m=\frac{12}{9}\\m=\frac{4}{3}\\m=1\frac{1}{3}[/tex]
Show work and I will give you brainliest
Answer: There is not enough info and I can't see because the picture is not clear enough. Sorry. :(
Merry (early) Christmas tho! :)
PLEASE HELP 60 POINTS
The table represents the linear function f(x), and the equation represents the linear function g(x).
Compare the y-intercepts and slopes of the linear functions f(x) and g(x) and choose the answer that best describes them.
x f(x)
0 1
2 4
4 7
g(x) = 2x + 1
The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).
The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).
The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).
The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).
Answer: A
Step-by-step explanation: got it right on my test
help me find m and b
Answer:
m = 2/3
b = -1
y = 2/3x - 1
Step-by-step explanation:
Answer:
y=2/3x-1
Step-by-step explanation:
Select the correct answer.
Sean used cross multiplication to correctly solve a rational equation. He found one valid solution and one extraneous solution. If 1 is the extraneous solution, which equation could he have solved?
Answer:
Answer A
Step-by-step explanation:
In the equation [tex]\dfrac{10}{x^2-1}=\dfrac{15}{3x-3}[/tex], 1 makes the denominator zero and 1 is the solution of the equation derived from cross multiplication.
Given :
Sean used cross multiplication to correctly solve a rational equation. He found one valid solution and one extraneous solution. 1 is the extraneous solution.Option A)
Given :
[tex]\dfrac{10}{x^2-1}=\dfrac{15}{3x-3}[/tex]
The above expression is not defined for x equal to 1 so, 1 is an extraneous solution.
Simplify the above equation by doing the cross multiplication.
[tex]10(3x-3)=15(x^2-1)[/tex]
[tex]30(x-1)=15(x-1)(x+1)[/tex]
2 = x + 1
x = 1
In the given equation 1 makes the denominator zero and 1 is the solution of the equation derived from cross multiplication.
Therefore, the correct option is A) and therefore, no need to check the other options.
For more information, refer to the link given below:
https://brainly.com/question/11897796
I need you to give me all of the answers on the page (i answered 2 to show how you will be doing it)
When you tell me the answers make it like this: 3:### 4:### or something like that.
Answer:
3. 72= (x)+(x+1)+(x+2) where x= the smallest number
72=3x+3
-3 -3
69=3x
/3 /3
x=23
x+1=24
x+2=25
smallest is 23
4. 48= (x)+(x+2)+(x+4)
48= 3x+6
-6 -6
42=3x
/3 /3
x=14
x+2=16
x+4=18
smallest is 14
5. all erasers were the same cost
25= 4x+5 (x= cost of erasers)
-5 -5
20=4x
/4 /4
x=5
each cost $5
6. b= boxes
22= b/2 +7
-7 -7
15=b/2
multiply both sides by 2 to cancel the denominator
30=b
30 boxes originally
7. 40= total
8= left
2= balls given to each
x=number of friends
40= 2x+8
-8 -8
32=2x
/2 /2
x=16
she has 16 friends
8. 12= left
a= total allowance
12= (a/2) +4
-4 -4
8= a/2
multiply both sides by 2 to cancel the denominator
a= $16
she had an allowance of $16
9. 4 (2) = amount that her four children recieved
10=amount she took for herself
x= original
x= 4(2) + 10
x= 8 +10
x=18
she started with 18 candies
10. a= age
244= 400 - 2a
-400 -400
-156= -2a
/-2 /-2
a= 78
they are 78 years old
11. c= comic books
36= c/2 + 16
-16 -16
20=c/2
multiply both sides by 2 to cancel the denominator
c=40
she started with 40 comic books
12. b= students in buses
472= 9b + 4
-4 -4
468=9b
/9 /9
b= 52
52 students went in each bus
13. h= hats
17= h/2 +5
-5 -5
12=h/2
multiply both sides by 2 to cancel the denominator
h=24
she had 24 hats on monday
14. p= pies the club made
60= (p+4)/5
multiply both sides by 5 to cancel the denominator
300=p+4
-4 -4
p= 296
the club made 296 pies
Step-by-step explanation:
kolik má čtverec rohů
Answer:
4
Step-by-step explanation:
Options are line ED, line EH or line CD
Answer:
ED and CF are paralell to eachother
Brainliest! Please help me with this
Answer:
I think it is D
Step-by-step explanation:
Answer:
i actually think its c or b
1. Is this a function? (answer Yes, or No) 2. Find the Domain. 3. Find the Range
Answer:
Step-by-step explanation:
yes it is a function
Pls help me ASAP I DONT know what to put. I only have 6 minutes to answer pls help
Answer:
25
Step-by-step explanation:
15 divided by 6 is 2.5, and so is 32.5/13, so 2.5 is your scale factor. Multiply 10 by 2.5 for 25, which is the length of side XY.
Answer:
Step-by-step explanation:
the answer is that d and c is 13 m and y and z is 32.5 m
Can you find the slope and type the correct code?
Answer:
C
A
H
F
Step-by-step explanation:
graph shows slope =2
2. slope is y2-y1 / x2-x1
(4-7)/(1-0)
-3
so A
3. slope is 28-18 / 4-2
10/2 = 5
so H
4. graph shows slope =1
please give thanks by clicking the heart :)
Please help on timer ill give 15 brainlist
Answer:
B
Step-by-step explanation:
PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!
A thermometer manufacturer compares the reading on one of its thermometers to a thermometer that they know is accurate. The accurate thermometer reads 25 degrees Celsius. Their thermometer reads 30 degrees Celsius. What is the percent error in their thermometer's reading?
A.2%
B.20%
C.83%
D.16%
Answer:
B. 20%
Step-by-step explanation:
Percentage Error = (Actual Value - Expected Value) / Expected Value * 100
Actual Value = 30
Expected Value = 25
Percentage Error = (30 - 25) / 25 * 100
Percentage Error = (5) / 25 * 100
Percentage Error = 0.2 * 100
Percentage Error = 20
What are the answers here?
Answer:
The slope is 3
The y-intercept is -2
The linear equation is y = 3x - 2
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slope of the lineb is the y-interceptThe rule of the slope of a line that passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]∵ A line passes through points (2, 4) and (6, 16)
∴ x1 = 2 and y1 = 4
∴ x2 = 6 and y2 = 16
→ Substitute them in the rule of the slope above to find it
∵ m = [tex]\frac{16-4}{6-2}[/tex] = [tex]\frac{12}{4}[/tex] = 3
∴ m = 3
→ Substitute it in the form of the equation above
∴ y = 3x + b
→ To find b substitute x and y in the equation by the coordinates of
a point on the line
∵ Point (2, 4) is on the line
∴ x = 2 and y = 4
∵ 4 = 3(2) + b
∴ 4 = 6 + b
→ Subtract 6 from both sides to find b
∵ 4 - 6 = 6 - 6 + b
∴ -2 = b
→ Substitute its value on the equation above
∵ y = 3x + (-2)
∴ y = 3x - 2
→ Let us answer the questions
The slope is 3
The y-intercept is -2
The linear equation is y = 3x - 2
What are the zeros? Please help
Write an expression to show how much it costs per week to keep the 8 adults x where the number of pounds one adults in a day. Simplify your expression
Answer:
y = 56xStep-by-step explanation:
Given the amount to keep one adult in a day to be x
Since 7 days = 1 week
Amount it will take to keep one adult for a week will be 7x
one adult = 7x pounds
To get the expression that show how much it costs per week to keep the 8 adults, we will say;
8 adults = y pounds
where y is the required amount
Solving both expressions
one adult = 7x pounds
8 adults = y pounds
Cross multiply
1 * y = 7x * 8
y = 56x
Hence the required expression is y = 56x
