A retailer allowed 12% discount and sold a T- shirt at a loss of Rs 16. if he had sold it at 10% discount he would have gained Rs 20.for what price did he purchased the T- shirt.

Answer:

Estimate,... about 40

Step-by-step explanation:

12 + 9 + 8 + 10 = 39

How to solve your problem

Topics: Algebra, Quadratic Equation

2

+

1

=

−

3

2x+1=x-3

2x+1=x−3

Solve

1

Subtract

1

1

1

from both sides of the equation

2

+

1

=

−

3

2x+1=x-3

2x+1=x−3

2

+

1

−

1

=

−

3

−

1

2x+1{\color{#c92786}{-1}}=x-3{\color{#c92786}{-1}}

2x+1−1=x−3−1

2

Simplify

Subtract the numbers

Subtract the numbers

2

=

−

4

2x=x-4

2x=x−4

3

Subtract

x

x

from both sides of the equation

2

=

−

4

2x=x-4

2x=x−4

2

−

=

−

4

−

2x{\color{#c92786}{-x}}=x-4{\color{#c92786}{-x}}

2x−x=x−4−x

4

Simplify

Combine like terms

Multiply by 1

Combine like terms

=

−

4

x=-4

x=−4

Solution

=

−

4

Answer:

Step-by-step explanation:

Perpendicular means that the slopes of the "old" line and the "new" line are opposite reciprocals; bisector means that the "new" line goes directly through the center of the "old" line. This perpendicular bisector, then, will go directly through the center of the "old" line, cutting it directly in half and leaving in its wake a 90 degree angle. To write this equation, then, of the perpendicular bisector, we need the slope of the old line and the midpoint of the old line. Let's work on the midpoint first:

[tex]M=(\frac{3+6}{2},\frac{5-7}{2})\\M=(\frac{9}{2},\frac{-2}{2})\\M=(\frac{9}{2},-1)[/tex] So the "new" line will go through this point.

Onto the slope:

[tex]m=\frac{-7-5}{6-3}\\m=\frac{-12}{3}[/tex]so the slope is

m = -4. That means that the perpendicular slope is

[tex]m=\frac{1}{4}[/tex] Now we're ready to write the equation:

[tex]y-5=\frac{1}{4}(x-3)[/tex] and

[tex]y-5=\frac{1}{4}x-\frac{3}{4}\\y=\frac{1}{4}x-\frac{3}{4}+\frac{20}{4}[/tex] and finally,

[tex]y=\frac{1}{4}x+\frac{17}{4}[/tex]

Answer:

Step-by-step explanation:

A(3, 5)   ; B(6,-7)

Let's find the slope of AB = [tex]\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

                                         [tex]=\dfrac{-7-5}{6-3}\\\\=\dfrac{-12}{3}\\\\= - 4[/tex]

m = -4

Slope of the perpendicular line to AB = -1/m = [tex]\dfrac{-1}{-4}=\dfrac{1}{4}[/tex]

The perpendicular line of AB is bisector also. So, it goes through the midpoint of AB

Midpoint of AB = [tex](\dfrac{x_{1}+x_{2}}{2}, \dfrac{y_{2}-y_{1}}{2})[/tex]

                         [tex]=(\dfrac{3+6}{2},\dfrac{5+(-7)}{2})\\\\=(\dfrac{9}{2},\dfrac{-2}{2})\\\\=(\dfrac{9}{2},-1)[/tex]

Equation of require perpendicular line: y - y1 = m (x -x1)

[tex](x_{1},y_{1})= (\dfrac{9}{2},-1)\\ \\m =\dfrac{1}{4}\\\\y-[-1]=\dfrac{1}{4}(x-\dfrac{9}{2})\\\\y+1=\dfrac{1}{4}x-\dfrac{1}{4}*\dfrac{9}{2}\\\\y=\dfrac{1}{4}x-\dfrac{9}{8}-1\\\\y=\dfrac{1}{4}x-\dfrac{9}{8}-\dfrac{8}{8}\\\\y=\dfrac{1}{4}x-\dfrac{17}{8}[/tex]

Answer:

12345678910

iya lina beb

Answer:

late January or early February

Step-by-step explanation:

On using logical reasoning, we deduce that this month is November.

Logical reasoning comprises aptitude problems that need a logical level of examination to arrive at the right answer.

One year ago from the date he will get married, Tony was away in Spain for New Year's Eve.

This implies, One year ago from the date he will get married, Tony was away in Spain in month of December.

This implies, Tony will get married in month of December.

We know, Tony gets married next month. So, this month is November.

Learn more about logical reasoning here

https://brainly.com/question/2848937

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Answer:

go on doubtnut app

Step-by-step explanation:

hope this helps. ........

Step-by-step explanation:

Product property

Quotient property

Power property

Negetive exponent property

Answer:

Let v = ml of 100% vinegar

Then 150-v = ml of dressing

v  + .05(150-v) = .24(150)

v + 7.5 - .05v = 36

.95v = 28.5

v = 28.5/.95

v = 30 ml of vinegar

dressing = 150-30 = 120 ml

Step-by-step explanation:

Answer:

55 cm

Step-by-step explanation:

height = 4895/89 = 55 cm

Answer:

2nd option

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

Here g(x) = (x - 1)²

The base graph f(x) has been shifted right 1 unit

Answer:

didn't shade all of them

Distance cycled on Monday = p km

Distance cycled of Tuesday

= 8 km less than the distance cycled on Monday

= p km - 8 km

= (p - 8) km

So, distance cycled of Tuesday is (p - 8) km.

Answer:

Step-by-step explanation:

Answer:

linear increasing

Step-by-step explanation:

For the section labeled B, the line goes up as x increases.  This means the line is increasing

Answer:

Linear increasing

Step-by-step explanation:

The slope of interval B is constant since it's a straight line, which makes it linear. The line in interval B is pointing upward so it's increasing.

PLEASE, forgive me but I answered this and hopefully what I see is correct. I’m really sorry if this weren’t the real measurements!

Answer:

192 square inches

Step-by-step explanation:

Surface area questions often include the net for easy answering. All you do is just find the area of each face and add them all up:

As you can see, all triangles in this net of a pyramid are the same, so once we find the area of one triangle, we’ll just multiply by 4:

FIND AREA OF ONE TRIANGLE (1/2 x b x h)

1/2 x 8 x 12 = 48 square inches

MULTIPLY BY 4 for SURFACE AREA:

48 x 4 = 192

so the SA is 192 square inches!

brainliest?

Answer:

The base is 12 the height is 8.

Using the formula of finding the area of a triangle: BH x 1/2

8 x 12 x 1/2 = 48 Area of one triangle.

Since there are 4 equilateral triangles we multiply the area of one triangle 4 times since they are all equal.

48 x 4 = 192 in2 is your surface area

(haven't done this in quite a while so make sure to check other answers for more reassurance)

MAY BE THIS !!!!

HOPE IT'S HELPFUL FOR U MATE

The number of people who play both volleyball and football will be 80.

Sets are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.

In a group of 150 people, 120 like to play volleyball and 85 like to play football. If 25 like to play up of the games.​

The number of people who play volleyball and/or football is calculated as,

A∪B = 150 - 25

A∪B = 125

The number of people who play both volleyball and football is calculated as,

A∩B = A + B - A∪B

A∩B = 120 + 85 - 125

A∩B = 80

The number of people who play both volleyball and football will be 80.

More about the sets link is given below.

https://brainly.com/question/8053622

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Answer:

answer is 7

Step-by-step explanation:

z-(3÷3-1)

make y = 3

z = 7

7 - (3÷3-1)

7 - 0

= 7

I hope it answers your question.

Answer: its 7

have a good day gang

This question involves the hypothesis test for the proportion. First we build the hypothesis, then find the test statistic, and according to the test statistic, we get the following answer:

The conclusion for this hypothesis test would be that because the absolute value of the test statistic is less than the critical value of 1.645, we do not reject the null hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60.

-------------------------------------------------------------------

The National Center for Education Statistics would like to test the hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60

This means that at the null hypothesis, it is tested if the proportion is of 0.6, that is:

[tex]H_0: p = 0.6[/tex]

At the alternative hypothesis, we test if the proportion is different of 0.6, that is:

[tex]H_1: p \neq 0.6[/tex]

-------------------------------------------------------------------

Decision rule:

Two-tailed test(test if the proportion is different of a value), so we exclude the top and bottom 0.1/2 = 0.05, meaning that looking at the z-table, we find a critical value of [tex]|Z_c| = 1.645[/tex], and the decision rule is:

Accept the null hypothesis: [tex]|Z| < 1.645[/tex]

Reject the null hypothesis: [tex]|Z| > 1.645[/tex]

-------------------------------------------------------------------

Test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.6 is tested at the null hypothesis:

This means that [tex]\mu = 0.6, \sigma = 0.4[/tex]

75 out of a sample of 140:

This means that:

[tex]n = 140, \pi = \frac{75}{140} = 0.5357[/tex]

-------------------------------------------------------------------

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.5357 - 0.6}{\frac{\sqrt{0.6*0.4}}{\sqrt{140}}}[/tex]

[tex]z = -1.55[/tex]

So |z| = 1.55

-------------------------------------------------------------------

Decision:

The conclusion for this hypothesis test would be that because the absolute value of the test statistic is less than the critical value of 1.645, we do not reject the null hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60.

For a similar example, you can check https://brainly.com/question/24166849

Answer:

Any number greater than 49.

Step-by-step explanation:

Since 7>0 then multiplying both sides of x>7 by 7 will not effect the direction of the inequality.

If x>7, then 7x>7(7) or 7x>49 after simplifying.

Substituting y for 7 since y=7 gives yx>49.

By commutative property of multiplication we have xy>49.

So any number greater than 49.

Answer:

1/10

Step-by-step explanation:

Percent spent on cable TV = 10%

Percent means "per hundred".

So, we can write 10% as,

10/100

= 1/10

So the family spent 1/10 of their total budget on cable TV.

Answer:

I think this will help you

Refer the attached image for the answer

HOPE SO IT HELPS YOU

=========================================================

Explanation:

Line AE is a tangent while line AU is a secant. The angle formed by the secant and tangent lines connects with the arcs through this formula

secant tangent angle = (larger arc - smaller arc)/2

More specifically, we can say:

angle EAI = (arc EU - arc IE)/2

42 = ( (7m+5) - (3m-1) )/2

42*2 = (7m+5) - (3m-1)

84 = 7m+5 - 3m+1

84 = 4m+6

4m+6 = 84

4m = 84-6

4m = 78

m = 78/4

m = 39/2

m = 19.5

Use this value of m to compute each arc

Let's say arc IU is some unknown number x. It must add to the other two arc measures to form 360 degrees, which is a full circle.

(arc IU) + (arc IE) + (arc EU) = 360

x + 57.5 + 141.5 = 360

x + 199 = 360

x = 360-199

x = 161

The measure of minor arc IU is 161 degrees

Answer:

IU = 161

Step-by-step explanation:

Angle Formed by Two Secants=  1/2 (difference of Intercepted Arcs)

42 = 1/2 (7m+5 - (3m-1))

Distribute the minus sign

42 = 1/2 (7m+5 - 3m+1))

Combine like terms

42 = 1/2 ( 4m+6)

Distribute the 1/2

42 = 2m+3

Subtract 3 from each side

42-3 = 2m+3-3

39 = 2m

Divide by 2

19.5 = m

The sum of the arcs = 360

IU+ 3m-1 + 7m+5 = 360

IU +10m+4 = 360

IU +10(19.5) +4 = 360

IU +195+4 = 360

IU = 360 - 199

IU=161

9514 1404 393

Answer:

  B.  even

Step-by-step explanation:

Functions are classed according to what happens when x is replaced by -x.

  f(-x) = f(x) . . . even

  f(-x) = -f(x) . . . odd

__

Here, we have ...

  f(-x) = 2/(-x)^2 = 2/x^2 = f(x) . . . . an even function