Rohini spends 88℅ of her monthly income. If she saves rs 3420 per month,what is her monthly income ?
Answer:
rs 28500
Step-by-step explanation:
If she saves rs3420 and spends 88% we need to convert 88% to a decimal first.
88% = 88/100 = .88
Let m equal her monthly income.
m - .88m = 3420
.12m = 3420
.12m/.12 = 3420/.12
m = 3420/.12
m = 28500
He monthly income is rs28500.
The seventh term of an arithmetic progression is equal to twice the fifth term. The sum
of the first seven terms is 84. Find the first term.
Answer:
a₁ = - 24
Step-by-step explanation:
The n th term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₇ = 2a₅ , then
a₁ + 6d = 2(a₁ + 4d) = 2a₁ + 8d ( subtract 2a₁ + 8d from both sides )
- a₁ - 2d = 0 → (1)
The sum to n terms of an AP is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
Given [tex]S_{7}[/tex] = 84 , then
[tex]\frac{7}{2}[/tex] (2a₁ + 6d) = 84
3.5(2a₁ + 6d) = 84 ( divide both sides by 3.5 )
2a₁ + 6d = 24 → (2)
Thus we have 2 equations
- a₁ - 2d = 0 → (1)
2a₁ + 6d = 24 → (2)
Multiplying (1) by 3 and adding to (2) will eliminate d
- 3a₁ - 6d = 0 → (3)
Add (2) and (3) term by term to eliminate d
- a₁ = 24 ( multiply both sides by - 1 )
a₁ = - 24
20 comics for $5.00 seth buys 30 for $7.50 what is the sale price per comic
Given parameters:
20 comics costs $5
30 comics costs $7.50
Unknown:
Sale price per comic = ?
Solution
The sale price per comic is ;
= [tex]\frac{cost}{number of comics }[/tex]
= [tex]\frac{5}{20}[/tex]
= $0.25 per comic
The cost per comic is $0.25 per comic
Answer:
0.25
Step-by-step explanation:
Simplify 6(3a - 8b + 2)
Parker is working two summer jobs, making $11 per hour lifeguards and $22 per hour tutoring. Last week Parker worked a total of 16 hours and earned a total of $242. Determine the number of hours Parker worked lifeguarding last week and the number of hours he worked tutoring last week
Answer:
lifeguarding: 6 hours
tutoring: 10 hours
Step-by-step explanation:
First, to be able to tell apart the two jobs, use the variable x and y for them. use x for lifeguarding and y for tutoring. Since you have the pay per hour, you can create an expression for his pay:
11x + 22y
Then, write a system of equations to be able to find both variables.
If Parker worked a total of 16 hours, then you know that the combined amount of worked hours will be:
x + y = 16
If Parker earned a total of $242, then you know that his combined pay will be:
11x + 22y = $242
Now, you solve the system of equations (IMAGE.A):
First, solve for x:
11x + 22y = 242
11x = 242 – 22y
x = 22 – 2y
Now, plug in the x-value in the other equation:
x + y = 16
22 – 2y + y = 16
22 – y = 16
–y = –6
y = 6
This means that he has worked 6 tutoring hours.
Now, plug in the y-value to find the x-value:
11x + 22y = 242
11x + 22(6) = 242
11x + 132 = 242
11x = 110
x = 10
this means that he has worked 10 lifeguarding hours.
Answer:
10 hours lifeguarding, 6 hours tutoring
Step-by-step explanation:
You mixed it up but your work was right! This is correct because I just had this on a test and got it right. Good LUCK!
I NEED HELP WITH THIS QUESTION!!
Answer:
- 1
Step-by-step explanation:
The product of the slopes of lines perpendicular to each other is - 1
Given y = 4x - 5 with slope 4
y = - [tex]\frac{1}{4}[/tex] x - 5 with slope - [tex]\frac{1}{4}[/tex] then
4 × - [tex]\frac{1}{4}[/tex] = - 1 proving the lines are perpendicular
Who is the coach for - (-5x + 9)
Answer:
[tex]=5x-9[/tex]
Step-by-step explanation:
[tex]-\left(-5x+9\right)[/tex]
[tex]Distribute\: parentheses[/tex]
[tex]=-\left(-5x\right)-\left(9\right)[/tex]
[tex]Apply\:minus-plus\:rules[/tex]
[tex]-\left(-a\right)=a,\:\:\:-\left(a\right)=-a[/tex]
[tex]=5x-9[/tex]
If the area of a rectangle is 100, then the length is 25 and the width is 4
Answer:
Yes.
Step-by-step explanation:
since area is length x the width, so in this case it would be 25 x 4 = 100
the price for rosemary is 49 cents for 6 ounces. what is the price in dollars per pound?
Determine the y-intercept of the following parabola:
y = 3x2 - 12x - 5
Answer:
-5
Step-by-step explanation:
Find the y-intercept by plugging in x = 0:
y = 3x^2 - 12x - 5
y = 3(0^2) - 12(0) - 5
y = 0 - 0 - 5
y = -5
(0, -5)
Ayuda con esto tengo muchos deberes y nececito terminarlos ahora, por favor ayuda :( .María y Nancy son vecinas, y todas estas semanas han realizado compras en el mercado. La semana pasada María gastó 25,75 dólares, exactamente 3 veces más de lo que gastó Nancy, que tenía poco que comprar. ¿Cuánto dinero se gastó Nancy?
Answer:
Nancy gastó 8,58 dólares.
Step-by-step explanation:
Para calcular cuánto dinero gastó Nancy, debemos hallar la relación entre Nancy y María, tal como sigue:
[tex] M = 3N [/tex] (1)
En donde M es por María y N por Nancy
En la relación de la equación (1) tenemos que el dinero que gastó María es 3 veces lo que gastó Nancy, tal como dice el enunciado.
Entonces, podemos hallar ahora cuánto gastó Nancy:
[tex] N = \frac{M}{3} = \frac{25,75}{3} = 8,58 [/tex]
Por lo tanto, Nancy gastó 8,58 dólares.
Espero que te sea de utilidad!
help me and do it out please
2x+4=12
Answer:
x=4
Step-by-step explanation:
2x=12-4
2x=8
2x/2=8/2
x=4
To estimate the mean number of text messages sent by cell-phone users, a researcher chooses a location on a college campus in the city and surveys the first 50 people who walk past. These subjects are asked how many text messages they have sent in the past 24 hours. Is it likely that bias will be present in the sample?
A) Because this is a convenience sample, it is likely that the sample results will be unbiased.
B) Because this is a convenience sample of college students, it is likely that bias is present and that the results will overestimate the mean number of text messages sent.
C) Because this is a convenience sample of college students, it is likely that bias is present and that the results will underestimate the mean number of text messages sent.
D) Because this is a voluntary response sample of college students, it is likely that bias is present and that the results will overestimate the mean number of text messages sent.
Answer:
WARNING! C IS INCORRECT 2021.
MOST LIKELY (B): Because this is a convenience sample of college students, it is likely that bias is present and that the results will overestimate the mean number of text messages sent.
ED2021
Martin painted 255 square feet of his kitchen wall with 23 gallon of paint. If he continues coverage at the same rate, how many square feet can he cover with 2 gallons of paint?765 ft2510 ft2382.5 ft21,020 ft2
Complete Question
Martin painted 255 square feet of his kitchen wall with 2/3 gallon of paint. If he continues coverage at the same rate, how many square feet can he cover with 2 gallons of paint?765 ft2510 ft2382.5 ft21,020 ft
Answer:
765 square ft
Step-by-step explanation:
2/3 gallon of paint = 255 square feet
2 gallons of paint =
Cross Multiply
2 × 255 square feet/2/3 gallon of paint
= 510 ÷ 2/3
= 510 × 3/2
= 765 square feet
HELP ASAP PLZZZZZ Which property is used in the first step to solve this equation?
4 (x minus 6) = 5. 4 x minus 24 = 5. 4 x = 29. x = StartFraction 29 Over 4 EndFraction
Answer:
Distributive Property
Step-by-step explanation:
4(x-6)=5.4x-24
4x-24=5.4x-24
Does 4.5, 6, and 7.5 make a right triangle?
Answer:
yes.
Step-by-step explanation:
find the distance between points (2, 9) and (5, 4) to the nearest tenth
Answer:
[tex]Distance = 5.8[/tex]
Step-by-step explanation:
[tex]d=\sqrt{(4-9)^{2} } { (5-2)} ^{2} \\[/tex]
[tex]d = -5^{2} + 3^{2}[/tex]
[tex]d= 25 + 9[/tex]
[tex]d= \sqrt{34}[/tex]
[tex]distance = 5.8[/tex]
does anyone know? take ur time and its ok if u dont
Answer:
Your answer is: A) x 5/6
Step-by-step explanation:
Hope this helped : )
Answer:
its the first one
Step-by-step explanation:
Is x = 1 a solution of the equation 2 – 8x = –6?
Let's verify by substituting 1 to x.
2 - 8x = -6
2 - 8(1) = -6
2 - 8 = -6
-6 = -6
It is equal, therefore x = 1 is the solution.
Answer:
yes
Step-by-step explanation:
Substitute x = 1 into the left side of the equation and if equal to the right side then it is a solution.
2 - 8(1) = 2 - 8 = - 6 = right side
Thus x = 1 is a solution of the equation
Um I kinda need help on this and how to do it
Answer:
m = 1
Step-by-step explanation:
Slope is defined by the change in y over the change in x, [tex]\frac{\Delta y}{\Delta x}[/tex]. A trick here is to find where 2 points where the slope intersects a corner of the square grids. For example, here, it can be (0,1) and (1,0). Then, you count how many squares you needed to go up or down by and divide by the number of square you needed to move right or left by. If you move up or right, the value will be positive and vice versa for down and left. Which direction you go will depend on which point you start on. Here, we can see between (0,1) and (1,0), we need to move up 1 and right 1. Meaning 1/1 is the slope or m = 1. If this doesn't make sense, just ignore it but it may come in handy when you move to more complex problems where the slope is a fraction or something.
Answer:
b= -1
m=1
Step-by-step explanation:
the equation for a linear graph is y=mx+b
your y intercept would be -1 because thats where the line crosses on the y axis. The slope which would be 1 is because when you are on the point (0,-1) you go up one and one to the right and get (1,0)
therefore the equation would be
y=1x-1 or y=x-1
Write a two-column proof to verify each conjecture: If -1/3n = 12, then n = -36. This is for geometry btw. Any help would be much appreciated, thanks.
Answer:
Step-by-step explanation:
statement reasoning
n = -36 given
-1/3 x -36 = 12 multiplcation property of equality
12 = 12 reflexive property
A hotel patron starts at the fifth floor and goes up seven floors to meet a friend. How many levels, and in which direction, must they take the elevator to get to Parking A? Express your answer in one or more complete sentences.
Answer:
they must go 12 floors downwards because parking A has to be on the last floor
Answer:
they other person is somewhat correct
Step-by-step explanation:
What is the probability that a randomly chosen exam score is above 300?
Answer:
I DONT KNOW SORRY DO YOU HAVE ANY OTHER QUESTIONS ON ANYTHING ELSE?
Step-by-step explanation:
is 3.14 a terminating decimal ?
Answer:
Yes, it is a terminating decimal.
Step-by-step explanation:
3.14 ends and it does not repeat. If it repeated, it would be a repeating decimal but since it does not, it is a terminating decimal.
I need Help PLS
again
Answer:
B
Step-by-step explanation:
It is saying the same thing as 18-7 just in the parenthesis (-7).
Answer:
B. 18+(-7)
Hope this helps!!!!!!
Which definitions describe context? Check all that apply.
words that can give me clues to the meaning of an unknown word
words or ideas inside an unknown word
words or ideas around an unknown word
words that I do not know
words or ideas that are easy to understand
Answer: Words that can give you clues to the meaning of an unknown word
Step-by-step explanation:
Answer:
A and CStep-by-step explanation:
I just answered that question and i got it right. Have a great day :)Evaluate the expressions for the given value and match them with the simplified answer.
5-x/3 for x = -3
-2 + 2x/3 for x = 6
-3 + x/2 for x = 6
2-3x/4 for x = 4
-1
0
2
6
Answer:
1st = 6
2nd = 0
3rd = -1
4th = 2
Step-by-step explanation:
Got it right on EDGE
Hope this Helps!
Have a great day!
pls thank and rate!
Thank u and God bless!
:)
The solutions of the expression for the different values of x will be,
5-x/3 = 6
-2 + 2x/3 = -1
-3 + x/2 = 0
2-3x/4 = 2
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expressions are:-
5-x/3 for x = -3
5 - (-3 / 3 ) = 6
-2 + 2x/3 for x = 6
-2 + (2 x 6 )/3 = 2
-3 + x/2 for x = 6
-3 + (6 / 2 ) = 0
2-3x/4 for x = 4
2 - ( 3 x 4 ) /4 = -1
To know more about an expression follow
https://brainly.com/question/25968875
#SPJ2
Please help!!! will give brainliest
Answer:
Angle D
Step-by-step explanation:
If you flip the triangle upside down, Angle D should be in the same location as Angle A. Congruent triangles will have corresponding congruent angles.
What is 0.362 rounded to the nearest tenth?
Answer:
0.4
Step-by-step explanation:
Answer:
0.4
Step-by-step explanation:
The tenths has 3, the hundredths has 6, and the thousandths has 2. The hundredth is greater than 5, so we have to round the tenths up by 1, making it 0.4
A company's stock began the day at $36.66 per share. That price drops by $1.69 each hour.
a. What is the price per share after 6 hours?
Answer:
After 6 hours the price per share is $26.52
Step-by-step explanation:
You multiply 1.69 by how many hours which in your case is 6. This gives you $10.14. Then you subtract 36.66 by 10.14 and you get your answer.
Hope this helps!