solve;
i) X+10%of X =22
ii)x+20%of X=rs60
iii)X+25%ofx=rs120
iv)X=rs200+50%of X
v)X=180+10%of x​
question from equation and inequality​

Answers

Answer 1

Answer:

i) 20

ii) 50

iii) 96

iv) 400

v) 200

Step-by-step explanation:

Given equations, for which we have to solve for the variable.

i)

[tex]X+$10\% of X $=22\\\Rightarrow X + \dfrac{10}{100}X =22\\\Rightarrow \dfrac{11}{10}X=22\\\Rightarrow X = 20[/tex]

ii)

[tex]x+$20\% of x = Rs.\ 60 $\\\Rightarrow x+\dfrac{20}{100}x =60\\\Rightarrow \dfrac{6}{5}x = 60\\\Rightarrow x = 50[/tex]

iii)

[tex]x+$25\% of x = Rs. 120$\\\Rightarrow x + \dfrac{25}{100}x = 120\\\Rightarrow \dfrac{5}{4}x = 120\\\Rightarrow x = 96[/tex]

iv)

[tex]X= $ Rs. 200+50\% of X$\\\Rightarrow \dfrac{50}{100}X = 200\\\Rightarrow X = 400[/tex]

v)

[tex]X=180+$10\% of X$\\\Rightarrow X - \dfrac{10}{100}X = 180\\\Rightarrow \dfrac{9}{10}X = 180\\\Rightarrow X = 200[/tex]​


Related Questions

Construct a Stem-and-Leaf Display?

Answers

Answer:

Hey mate here's your answer⤵️

A stem and leaf plot is a way to plot data where the data is split into stems (the largest digit) and leaves (the smallest digits). ... The stem and leaf plot is used like a histogram; it allows you to compare data. While a histogram uses bars to represent amounts, the leaves of the stemplot represent amounts.

Hope it was helpfulll

pls help asap no trolls!!

Answers

Answer:

The answer to this is SAS

The equation y = 10x describes the amount of money Serena earns, where x is the number of hours she works and y is the amount of money she earns.
The table shows the amount of money Christine earns for different numbers of hours
worked.

Christine's Earnings
Time (h):
3 5 8 10
Money earned:
60 100 160 200

(a) How much money does Christine earn per hour? Show your work.

(b) Who earns more per hour? Justify your answer.

(c) Draw a graph that represents Christine's earnings over time in hours. Remember
to label the axes.

I WILL GIVE BRAINLIEST IF THEY ARE CORRECT AND ALL ANSWERS WERE ANSWERED!!!

Answers

Answer : Answer:

a) $10 per hour

b) Sandra

Step-by-step explanation: he equation y 10x describes the amount of money Sandra earns, where x is the number of hours she  works and y is the amount of money she earns

The table shows the amount of money Susan cams for different numbers of hours worked

Susan's Earnings

Time (h)           Money Earned

5                              40

8                              64                

10                             80

(a) How much money does Sandra eam per hour? Show your work

(b) Who earns more per hour? Justify your answer

Answer:

a)

y = 10x is sandra's equation. To find her hourly rate, we need to find how much she earns in "1" hour. Since x is hours, we plug in x = 1 and find y (which is her pay).

y = 10x

y = 10(1)

y = 10

$10 is Sandra's hourly rate.

b)

To find who earns more per hour, we need to find the hourly rate of Susan as well from the table. Then compare.

5 hours = $40 so per hour is 40/5 = 8

8 hours is 64, so per hour 64/8 = 8

10 hours is 80, so 80/10 = 8

The table is justified at $8 per hour.

We know Sandra earns $10/hr and Susan earns $8 per hour. So Sandra earns more per hour.

The random variable KK has a geometric distribution with mean 16. Which of the following is closest to the standard deviation of random variable KK ?
A. 0.0625
B. 0.9375
C. 4
D. 15.49
E. 240

Answers

Answer:

E 240

Step-by-step explanation:

Geometric Distribution mean = (1- p) / p

16 = (1 - p) / p

16p = 1 - p  ;  17p = 1 ; p = 1/17 = 0.058  

Standard Deviation = (1 - p) / p^2

= (1 - 0.058) / (0.058)^2

0.942 / 0.003364

= 280 , closest to 240

Find the length of AB

Answers

x=3
that is the answer

Answer:

AB is 15

Step-by-step explanation:

AB and BC are equal because the line that goes through the triangle is going through at a 90 degree angle, u can see that by the small square, and u know it's in the middle bc of the short lines on AD and DC, the short lines means that they are congruent, so:

5x = 4x + 3

subtract 4x from both sides

x = 3

Now u have x, put it in the equation

5x = 5(3) = 15

On Sunday the temperature was 52 degrees and on Tuesday it was -10 degrees. What was the difference in temperature from Sunday to Tuesday?

Answers

The difference was 62 degrees.
52 - (-10) = 62

Answer:

62

Step-by-step explanation:

The answer is 62.

Here's an example.

52 - ( -10 ) = 62

So, the difference in temperature from Sunday to Tuesday is 62.

Just to let you know.

( -10 ) - 52 = -62 ( This is not the answer )

Remember that 62 is the answer.

Hope this helps! <3

Find the equation of the line tangent to the graph of
y = sin^-1 (x/5) at x = 5/2. Show your work.

Answers

Answer:

[tex]\displaystyle y=\frac{2\sqrt{3}}{15}x+\frac{\pi-2\sqrt{3}}{6}[/tex]

Step-by-step explanation:

We want to find the equation of the line tangent to the graph of:

[tex]\displaystyle y=\sin^{-1}\left(\frac{x}{5}\right)\text{ at } x=\frac{5}{2}[/tex]

So, we will find the derivative of our equation first. Applying the chain rule, we acquire that:

[tex]\displaystyle y^\prime=\frac{1}{\sqrt{1-\left(\dfrac{x}{5}\right)^2}}\cdot\frac{1}{5}[/tex]

Simplify:

[tex]\displaystyle y^\prime=\frac{1}{5\sqrt{1-\dfrac{x^2}{25}}}[/tex]

We can factor out the denominator within the square root:

[tex]\displaystyle y^\prime =\frac{1}{5\sqrt{\dfrac{1}{25}\big(25-x^2)}}[/tex]

Simplify:

[tex]\displaystyle y^\prime=\frac{1}{\sqrt{25-x^2}}[/tex]

So, we can find the slope of the tangent line at x = 5/2. By substitution:

[tex]\displaystyle y^\prime=\frac{1}{\sqrt{25-(5/2)^2}}[/tex]

Evaluate:

[tex]\displaystyle y^\prime=\frac{1}{\sqrt{75/4}}=\frac{1}{\dfrac{5\sqrt{3}}{2}}=\frac{2\sqrt{3}}{15}[/tex]

We will also need the point at x = 5/2. Using our original equation, we acquire that:

[tex]\displaystyle y=\sin^{-1}\left(\frac{1}{2}\right)=\frac{\pi}{6}[/tex]

So, the point is (5/2, π/6).

Finally, by using the point-slope form, we can write:

[tex]\displaystyle y-\frac{\pi}{6}=\frac{2\sqrt{3}}{15}\left(x-\frac{5}{2}\right)[/tex]

Distribute:

[tex]\displaystyle y-\frac{\pi}{6}=\frac{2\sqrt{3}}{15}x+\frac{-\sqrt{3}}{3}[/tex]

Isolate. Hence, our equation is:

[tex]\displaystyle y=\frac{2\sqrt{3}}{15}x+\frac{\pi-2\sqrt{3}}{6}[/tex]

You can use this rule to work out the total charge for hiring a cement mixer.



On Monday, Sally hired a cement mixer for 4 hours.

(a) Work out Sally’s total charge.

Answers

Answer:

[tex]Total\ Charge = 58[/tex]

Step-by-step explanation:

Given

The question is completed using the attachment

From the attachment,

[tex]Base\ Charge = 30[/tex]

[tex]Hourly\ Rate = 7/hour[/tex]

Required

Determine the total charges for 4 hours

The total charge will be calculated using:

[tex]Total\ Charge = Base\ Charge + Hourly\ Rate * Number\ of\ hours[/tex]

This gives:

[tex]Total\ Charge = 30 + 7* 4[/tex]

[tex]Total\ Charge = 30 + 28[/tex]

[tex]Total\ Charge = 58[/tex]

Hence, the total charges for 4 hours is #58

Find the 22nd term of the sequence described by the
explicit formula:
f(n) = 8 + 3(n - 1)

Answers

Answer:

[tex]\boxed{\boxed{\pink{\bf \leadsto The \ 22nd \ term \ is \ 71. }}}[/tex]

Step-by-step explanation:

Given that the nth term of the Arthemetic Sequence is given by :-

[tex]\implies f(n) = 8 + 3(n-1) [/tex]

And we need to find the 22nd term .

So in place of n substitute 22 .

[tex]\bf\implies f(n) = 8 + 3(n-1) \\\\\bf\implies f_{22} = 8 + 3(22-1) \\\\\bf\implies f_{22} = 8 + 3\times 21 \\\\\bf\implies f_{22} = 8 + 63 \\\\\bf\boxed{\bf\implies f_{22} = 71 }[/tex]

Hence the 22nd term is 71 .

Solve the following system: (5 points)
y = x + 3 4x + y = 18
(6, 3)
(3, 6)
(−3, 6)
(3, −6)

Answers

Answer:
(3,6)

Explanation:
The answer I think is 3,6

What is the sum of the fractions? Use the nurnber line and equivalert fractions to help find the answer.
o-1
o

Answers

Answer:

-3/4

Step-by-step explanation:

-5/4 + 2/4 = -3/4

Hope this helps :)

Which integer makes the sentence true? (a) -7 (b) 7 (c) 17 (d) -17
---- - (-5) = 12

Answers

Answer: -7

Step-by-step explanation:

Ben, Mingli and Samy shared $180. Ben received $45, Mingli received $63 and Samy received the rest. What percentage of the money did
Samy receive?

Answers

Samy received $72 and 72/180 is 40% i believe

Alyssa had 45$ to spend on 6 snacks.after buying them she had 12$ left how much did each snack cost?

Answers

Each snack cost $5.50

You start with $45, and afterwards end up with $12, so subtract 12 from 45 and you end up with 33. Then divide 33 by 6, since she bought 6 snacks, and you get $5.50.

Divide $45 with $12, you get $3.75

To check your answer, $12 x $3.75 = $45

Each snack costs $3.75

#5 Test question 7th grade math

Answers

Answer:

0.85p and p - 0.15p are right

Find the distance from point A(15,−21) to the line 5x+2y = 4. Round your answer to the nearest tenth.

Answers

Answer:

5.8

Step-by-step explanation:

If done on graph, just subtract x value of point A with x value of the line when its y value is -21.

If done algebraic, then plug in -21 into the y value for 5x+2y=4, then take the answer to x value (in our case 9.2) and subtract that from 15.

Happy new year yall

i hope this one is better than the last for all of us

(´▽`ʃ♡ƪ)

Answers

Happy New Years to you as well! Stay safe

Answer:

happy late new year!

Step-by-step explanation:

~evita

Find the equation of the line through point (−1,2) and perpendicular to x+3y=3.

Answers

Answer:

-2x

Step-by-step explanation:

As you can see the line is perpendicular the the given equation and passes through the point (-1,2).

Answer:

y=3x+5

Step-by-step explanation:

the equation x+3y=3 is in standard form (ax+by=c)

we can put it into slope intercept form (y=mx+b) to make it easier.

subtract x from both sides

3y=-x+3

divide by 3

y=-1/3x+1

Perpendicular lines have slopes that are opposite (one is negative and one is positive) and reciprocal, so if you mutiply them together, it will equal -1

use this equation:

-1/3m=-1

multiply by -3 on both sides

m=3

equation so far: y=3x+b (b is a placeholder)

since the equation passes through the point (-1,2), we can substitute it into the equation

2=3(-1)+b

2=-3+b

5=b

the equation is y=3x+5

Hope this helps!

pls help pls help pls helppp

Answers

Answer:

2/1

Step-by-step explanation:

Rise over run

in a art class, there are 48 pencils to 56 crayons. what is the ratio of pincels to total written as a fraction in simplest form​

Answers

Answer: 48:104

Step-by-step explanation: 48 is the amount of pencils 48+56=108 is the total

Help Me Plz I Really Need It!!!!

Answers

Answer:

x = 4

Step-by-step explanation:

[tex] \sin \: 45 \degree = \frac{x}{4 \sqrt{2} } \\ \\ \frac{1}{ \sqrt{2} } = \frac{x}{4 \sqrt{2} } \\ \\ \sqrt{2} \: \: x = 4 \sqrt{2} \\ \\ x = \frac{4 \sqrt{2} }{ \sqrt{2} } \\ \\ x = 4[/tex]

Jessica is selling books during the summer to earn money for college. She
earns a commission on each sale but has to pay for her own expenses.
After a month of driving from neighborhood to neighborhood and walking
door-to-door, she figures out that her weekly earnings are approximately a
linear function of the number of doors she knocks on.
She writes the equation of the function like this: E() = 10x- 35, where xis the
number of doors she knocks on during the week and E(x) is her earnings for
the week in dollars.
What does the slope of Jessica's function represent?

Answers

Answer:

A you can check it by substituting values into x like 5 and 6 then compare the E(X) value

The solution is :

The slope represents the rate of change of earnings in a week for every unitary change in number of doors knocked. For Jessica's function, her earnings change by +7 units for every unit of door she knocks.

What is slope?

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

The slope of any linear function tells us the rate of increase in Y given 1 unit increase in X

[note the equation as y = mx+b ].

Here, m is the slope.

Jessica's weekly earning function is:

E(x) = 7x - 25

Where,

E(x) is her weekly earnings

x is the number of doors she knocks

So, when comparing this to the meaning of slope stated above, we can say that the slope of Jessica's function represents the rate of change of earnings in a week for every unitary change in number of doors knocked.

To learn more on slope click:

brainly.com/question/3605446

#SPJ7

Question 4 of 10
Suppose that the following group of values has been entered into the TVM
Solver of a graphing calculator: N=300; 1%=7.7; PV=105000; PMT=-
789.65160; FV=0; P/Y=12; C/Y=12; PMT:END. Which of the following uses of
the "balſ" function will give the balance on the loan in question after 11 years?
A. bal(11)
B. bal(14)
C. bal(168)
O D. bal(132)
SUB

Answers

Answer:

ball 132

Step-by-step explanation:

What is corollary to triangle sum theorem?

Answers

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. Triangle Angle-Sum Corollaries: The acute angles of a right triangle are complementary. Corollary: a theorem in which the proof follows directly from another theorem.

Answer:

A corollary to a theorem is a statement that can be proved easily by using the theorem. A useful corollary to the Triangle Sum Theorem involves exterior angles of a triangle. ... The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.

A company wants to evaluate its attrition rate, in other words, how long new hires with the company. Over the years, they have established the following probability distribution.
Let X = the number of years a new hire will stay with the company.
Let P(x) = the probability that a new hire will stay with the company x years.
1. Complete Table using the data provided.
x p(x)
0 0.12
1 0.18
2 0.30
3 0.15
4
5 0.10
6 0.05
2. P(x = 4) = _________
3. P(x ≥5) = __________
4. On average, how long would you expect a new hire to stay with the company?

Answers

Answer:

2.) 0.10 (3.) 0.10 (4.) 2.43

Step-by-step explanation:

Given that:

x p(x)

0 0.12

1 0.18

2 0.30

3 0.15

4

5 0.10

6 0.05

X : __0__ 1 ___ 2 ___ 3 _____ 4 ____ 5 ____ 6

p(x):0.12_0.18_0.30_0.15__0.10___0.10 ___0.05

Σ of p(x) = 1

(0.12 + 0.18 + 0.30 + 0.15 + x + 0.10 + 0.05) = 1

0.9 + x = 1

x = 1 - 0.9

x = 0.1

2.)

P(x = 4) = 0.10

3.)

P(x = 5) = 0.10

4.)

Σ(x * p(x)) :

(0*0.12) + (1*0.18) + (2*0.3) + (3*0.15) + (4*0.1) + (5*0.1) + (6*0.05) = 2.43

Please help ASAP!!!!!!!

Answers

Answer:

404

Step-by-step explanation:

Given the expression

g(x) = 2x and h(x) = x^2 + 4

Find hoh(-4)

First we need to find (hoh)(x)

(hoh)(x) = h(h(x))

h(h(x)) = h(x^2+4)

h(x^2+4) = (x^2+4)²+4

h(x^2+4) = x⁴+8x²+16 + 4

h(x^2+4) =  x⁴+8x²+20

h(h(x)) = x⁴+8x²+20

when x = -4

h(h(-4)) = (-4)⁴+8(-4)²+20

h(h(-4)) = 256+128+20

h(h(-4)) = 404

Hence hoh(-4) is 404

The hourly wages of a sample of 130 system analysts are given below.

mean=90
mode= 103
median =104
range =18
variance= 729

Find the coefficient of variation.

a. 0.30%
b. 30%
c. 8.1%
d. 81%

Answers

Answer: b. 30%

Step-by-step explanation:

A measure of relative variability is known as coefficient of variation. It is the ratio of the standard deviation to the mean.

i.e. [tex]CV=\dfrac{\sigma}{\mu}[/tex]

Given: mean =  [tex]\mu=90[/tex]

Variance = [tex]\sigma^2 = 729[/tex]

[tex]\sigma=\sqrt{729}=27[/tex]

Now, [tex]CV=\dfrac{27}{90}=0.3[/tex]

in percent , [tex]CV= 0.3\times100\%= 30\%[/tex]

Hence, correct option is  b. 30%.

Based on the information given the coefficient of variation is b. 30%.

Coefficient of variation

Using this formula

Coefficient of variation=√Variance/Mean

Let plug in the formula

Coefficient of variation=√729/90

Coefficient of variation=27/90

Coefficient of variation=0.3×100

Coefficient of variation=30%

Inconclusion the coefficient of variation is b. 30%.

Learn more about coefficient of variation here:https://brainly.com/question/12327871


Which best represents the correct way to solve the inequality shown below?
-8.2 great then or equal to 4x

Answers

Answer:

-8.2≥4x

Step-by-step explanation:

theres really not much to it ≥ means greater than or equal to and ≤ means less than or equal to

Tony and Ricky spend a certain amount of money from their accounts each week at a pet shelter.

The table shows the relationship between the amount of money (y) remaining in Tony's account and the number of weeks (x):

Function 1:
Number of Weeks
(x) Amount Remaining (dollars)
(y)
1 30
2 24
3 18
4 12

The equation shows the relationship between the amount of money, y, remaining in Ricky's account and the number of weeks, x:

Function 2:
y = −7x + 30

Which statement states and explains which function shows a greater rate of change?

a. Function 1, because Tony spends $6 each week and Ricky spends −$7 each week

b. Function 2, because Ricky spends $7 each week and Tony spends $6 each week

c. Function 1, because Tony spends $18 each week and Ricky spends $23 each week

d. Function 2, because Ricky spends $30 each week and Tony spends $18 each week

Answers

Answer:

No its not a

Step-by-step explanation:

what is the answer because a is not right. I did the quiz and got it wrong

Answer:

it is answer b.  

NEED HELP ASAP WILL GIVE BRAINLIEST

Answers

I think its D because don’t functions only have 1 equation?

Answer:

d

Step-by-step explanation:

it is d, because functions will only have 1 equation until worked out.

hope this helped ;)

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