Alyssa walked 1/2 miles in 8 1/2 minutes. What is the unit rate in miles per minute?

Answer: Marked price Rs. 600

Step-by-step explanation:

Let M be the marked price

1) When shop keeper sold at 20% discount, ie. SP = 0.8M

CP - SP = 20

CP = 20 + SP

CP = 20 + 0.8M

2) When shopkeeper sells at 8% discount, he makes a profit of 10%

SP = 0.9M/1.08

Equating 1 and 2, we get

20 + 0.8M = 0.9M/1.08

21.6 + 0.864M = 0.9M

0.036 M = 21.6

M = 21.6 / 0 036

M = 600

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[tex]\bf\Huge\red{\mid{\overline{\underline{ ANSWER }}}\mid } [/tex]

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[tex]\Large\fbox{\color{purple}{QUESTION}}[/tex]

A shopkeeper made a loss of Rs 20 when he sold a bag at 20% discount. If he had sold it at 10% discount, he would have gained 8%. Find the marked price of the bag.

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[tex]\Large\fbox{\color{purple}{ SOLUTION }}[/tex]

let M, S and C be the mark price, selling price & cost price respectively.

1) when shopkeeper sells at 20% discount then he suffers a loss of rupees 20 then we have :-

[tex]s = ( 1 - \frac{20}{100} ) \times m = 0.8m \\ \\ and \: c - s = 20[/tex]

C = 20 + 0.8 m ------------- eq 1

2) when shopkeeper sells at 20% discount then he makes a profit of 8% then we have

[tex]s = ( 1 - \frac{10}{100} ) \times m = 0.9m \\ \\ and \\ \\ s = ( 1 + \frac{8}{100} ) \times c = \: \frac{0.9m}{1.08} [/tex]

since the cost price of bag doesn't change and equating 1 and 2 we get

[tex]20 + 0.8m = \frac{0.9m}{1.08} \\ \\ 21.6 + 0.864m \: = 0.9m \\ \\ 0.036m \: = 21.6 \\ \\ m \: = 600[/tex]

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[tex]\bf\Large\red{ THANKS \: FOR \: YOUR}[/tex]

[tex]\bf\Large\red{ QUESTION \: HOPE \: IT } [/tex]

[tex]\bf\Large\red{ HELPS }[/tex]

[tex]\Large\mathcal\green{FOLLOW \: ME} [/tex]

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Answer: do you have the answer chooses?

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

Given the expression: [tex]\dfrac{a}{2x-4}[/tex]

The expression is undefined or "does not exist" when the value of the denominator equals zero.

Therefore, set the denominator of the function equals to zero to find the values at which it does not exist.

2x-4=0

2x=4

x=2

Therefore, at x=2, the function is undefined.

Answer:

A. (x - 5)² = 36

Step-by-step explanation:

Step 1: Isolate x

x² - 10x = 11

Step 2: Complete the Square

x² - 10x + 25 = 11 + 25

(x - 5)² = 36

And we have our answer!

Answer:

Based on the given information in the problem, 18 is found to be 75% of 24.

Step-by-step explanation:

In order to solve this problem, we must first know what we are being asked to do. In the problem, we are asked to find what percent of 24 is 18. We can find this percentage by dividing. We will divide 24 by 18.

18 ÷ 24 = 0.75

Now, we multiply this number by 100 to get the percent.

0.75 × 100 = 75

So, 18 is 75% of 24.

Answer:

the correct answer would be 75%

Answer:

Option A. is the right choice.

Step-by-step explanation:

y-intercept is 0, and slope is negative.

[tex]\mathrm{Slope\:}\left(0,\:0\right),\:\left(3,\:-1\right):\\\\\quad m=\frac{-1-0}{3-0}=-\frac{1}{3}[/tex]

Best Regards!

Answer:

A. [tex] y= - \frac{1}{3} x[/tex]

Step-by-step explanation:

Line is passing through the point [tex] (3,\:-1)=(x_1, \:y_1) [/tex] and origin [tex] (0,\: 0)=(x_2, \: y_2) [/tex]

Equation of line in two point form is given as :

[tex] \frac {y-y_1}{y_1 - y_2} = \frac{x-x_1}{x_1 - x_2} \\\\

\therefore \frac{y-(-1)}{-1-0}= \frac{x-3}{3-0}\\\\

\therefore \frac{y+1}{-1}= \frac{x-3}{3} \\\\

\therefore 3(y+1) = - 1(x-3)\\\\

\therefore 3y + 3 = - x +3\\\\

\therefore 3y = - x +3-3\\\\

\therefore 3y = - x\\\\

\huge \orange {\boxed {\therefore y= - \frac{1}{3} x}} [/tex]

Answer:

b =21

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a  and b are the legs and c is the hypotenuse

20^2 + b^2 = 29^1

400 + b^2 =841

Subtract 400 from each side

b^2 = 441

Take the square root of each side

sqrt(b^2) = sqrt(441)

b =21

Answer:

b = 21

Step-by-step explanation:

Ok so solving this is actually really simple.

We need to use the Pythageorum Theorum formula which is [tex]a^2+b^2=c^2[/tex].

So we already know the c and b which are 29 and 20 and we are trying to find b or a in the formula so.

We have to plug the numbers 29 and 20 into the formula and do the steps which is to sqaure them. So 29 and 20 squared are 841 and 400.

So we have to plug those numbers into the formula and it looks like this now [tex]a^2+400=841[/tex]. So now we have to get a squared alone and to do tha we subtract 400 from 841 which is 441. So now to find a we have to find the square root of a and 441 which is a and 21 so b is 21.

Answer:

c i took th test

Step-by-step explanation:

Answer:

g(1) =7

Step-by-step explanation:

g(x) = 2x + 5

Let x=1

g(1) = 2(1) +5

      = 2+5

       =7

Answer:

g(1) = 7

Step-by-step explanation:

g(x) = 2x + 5

Put x as 1 and evaluate.

g(1) = 2(1) + 5

Multiply 2 and 1.

g(1) = 2 + 5

Add 2 and 5.

g(1) = 7

Answer:

b. 9h

Step-by-step explanation:

Volume of the cube = a*a*a

Volume of the cube = 3*3*h = 9h

But in reality for cube it should be 3*3*3= 27, because of the all edges of a cube are equal.

Answer:

Your x-intercepts are (1, 0) and (5, 0)

Step-by-step explanation:

Factor out the expression:

[tex]y =x^{2} -6x +5[/tex] factors out to [tex]y = (x-1) * (x-5)[/tex]

Because this factored out form is now in intercept form, we can solve that the two intercepts are (1, 0) and (5, 0).

Answer:

The coordinates are (5 ,0) and (1 ,0)

Answer is given below with explanations.

Step-by-step explanation:

[tex]to \: find \: the \: x \: intercepts \: of \: the \: parabola \: \\ defined \: by \: {x}^{2} - 6x + 5 = y \\ let \: y = 0 \\ then \\ {x}^{2} - 6x + 5 =0 \\ by \: factorization \\ (x - 5)(x - 1) = 0 \\ x - 5 = 0 \: \: (or )\: x - 1 = 0 \\ x = 5 \: \: ( or) \: x = 1[/tex]

We want ti express the intercepts as two ordered pairs (y = 0)

Then the coordinates are (5 ,0) and (1 ,0)

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

answer is B. 77 percent means 77/100

Have a great day

Step-by-step explanation:

brainliest please!!!!

Answer:

y=-1/2+2

Step-by-step explanation:

the y intercept is 2

Its negative because the slope is going down

1/2 because down 1 right 2

Answer:

48 degrees

Step-by-step explanation:

Angle 2 is a right angle.

Right angles are 90 degrees.

A line is 180 degrees.

Angle 1, 5, and 2 form a line.

180-90=90

That means that Angles 1 and 5 add up to 90 degrees.

We know that Angle 3 is 42 degrees.

Angle 3 and 5 are Vertical angles.

Vertical angles are always congruent.

This means that Angle 5 is also 42 degrees.

As we discussed earlier, Angles 1 and 5 are complementary. (Add up to 90 degrees)

42+x=90

Subtract 42 from both sides.

x=48

m<1=48

Answer:

It is 48 degrees because I took the test

Step-by-step explanation:

Answer:

Mean = 203.167

Step-by-step explanation:

Mean = [tex]\frac{sum of observations}{total no. of observations}[/tex]

Mean = [tex]\frac{153+230+354+38+180+264}{6}[/tex]

Mean = [tex]\frac{1219}{6}[/tex]

Mean = 203.167

Answer:

(3,2)

Step-by-step explanation:

The solution that satisfies both equations is where the two lines intersects.

The two graphs intersect at x=3 and y =2

Answer:

Experimental Probability is found:

P = 11/24

Step-by-step explanation:

Experimental Probability can be defined as the ration of the number of times (frequency) a desirable event has occurred, to the Total number of time (total frequency) the activity has been performed.

Probability = P = Frequency of an event / Total Frequency

To find the total frequency, we add all three of the given frequencies:

Total Frequency = 10 + 11 + 3

Total Frequency = 24

Frequency of the event (times bus arrived between 8:20 to 8:24) = 11

So, experimental probabilty is found as:

P = 11/24

Answer:

Step-by-step explanation:

Given the expression [tex]\frac{3x^{-6}y^{-3} }{15x^{2}y^{10} }[/tex]for x ≠ 0, y ≠ 0 to get the equivalent expression we will have to simplify the given expression.

[tex]\frac{3x^{-6}y^{-3} }{15x^{2}y^{10} }\\= \frac{3}{15} x^{-6-2}y^{-3-10}\\ = \frac{3}{15}x^{-8}y^{-13} \\ =\frac{1}{5}x^{-8}y^{-13} \\[/tex]

The correct expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction

Answer:

It’s b

Step-by-step explanation:

Answer:

Option (3)

Step-by-step explanation:

To prove ΔMTD ≅ ΔLGS,

               Statements                      Reasons

1). Segment TM ≅ GL               1). Given

2). Segment MD ≅ LS             2). Given

3). Segment TD ≅ GS             3). Additional information required

4). ΔMTD ≅ ΔLGS                   4). SSS property

For SSS property corresponding sides of the given triangles must be congruent.

Therefore, additional information required is segment GS ≅ TD

Option (3). will be the answer.

Answer:

The answers are B, D, and E.

Step-by-step explanation:

Just look at the X coordinates, match them up with the Y, and there you go.

;)

Answer:

Jacob's age = 4 years

Mother's age =  39 years

Step-by-step explanation:

Current year:

Mother's age = m

Jacob's age = j

m = 9j + 3  ------(I) {condition 1}

In 11 year,

Mother's age = m + 11

Jacob's age = j + 11

From condition 2,

m + 11 = 3(j +11) + 5

m + 11 = 3j + 3*11 + 5

m +11 = 3j + 33 + 5

m + 11 = 3j + 38  

Subtract 11 from both sides,

m = 3j + 38 -11

m = 3j + 27  --------------(II)

Linear equations:

m = 9j + 3  ----------(I)

m = 3j + 27 --------(II)

Substitute m = 9j + 3 in equation (II)

9j + 3 = 3j + 27

9j = 3j + 27 - 3

9j = 3j + 24  

Subtract 3j from both sides,

9j - 3j = 24

6j = 24

Divide both sides by 6,

j = 24/6

j = 4

Jacob's age = 4 years

Mother's age = 9*4 +3 = 36 + 3 =  39 years

Answer:

Complementary angles are angles that add up to 90°. Supplementary angles add up to 180°.

Therefore, it's really easy to simply subtract the values that are less than 90 from 90 to receive the complement for those angles, but if it is above 90, subtract the number from 180. Therefore, your answers are as follows:

1. 54° and 144°

Complement: 90 - 36 = 54

Supplement: 180 - 36 = 144

2. 85° and 175°

Complement: 90 - 5 = 85

Supplement: 180 - 5 = 175

3. 20° and 110°

Complement: 90 - 70 = 20

Supplement: 180 - 70 = 110

4. 61° and 151°

Complement: 90 - 29 = 61

Supplement: 180 - 29 = 151

5. 40.8° and 130.8°

Complement: 90 - 49.2 = 40.8

Supplement: 180 - 49.2 = 130.8

6. 12°

Complement: 90 - 168 = -78 (negative angles do not work)

Supplement: 180 - 168 = 12

7. 79° and 169°

Complement: 90 - 11 = 79

Supplement: 180 - 11 = 169

8. 90 - 2x and 180 - 2x

Complement: 2x + (something) = 90 → 90 - 2x

Supplement: 180 - 2x

Answer:

[tex]x^8[/tex]

Step-by-step explanation:

Since you are doing [tex]x^4[/tex] squared, you have to multiply the exponents.

4 * 2 = 8

[tex]x^8[/tex]

Answer:

[tex]x^8[/tex]

Step-by-step explanation:

[tex](x^4)^2[/tex]

Apply the law of exponents, where:

[tex](x^a)^b=x^{ab}[/tex]

[tex](x^4)^2=x^{4 \times 2}=x^8[/tex]

Answer:

b

Step-by-step explanation:

Answer:

a)  f(x) = x² -9

function is an even function

b)  g(x) = |x -3|

function is an even function

c) f(x)= x / x²-1

function is  odd function

d) g(x) = x + x²

Given function is not an even not odd function

This function is neither even or odd

Step-by-step explanation:

Explanation:-

a) Given f(x) = x² -9

Even function

If f(-x) = f(x) , then the function is even function.

f(-x) = (-x)² -9

      =  x² -9

      = f(x)

f(-x) = f(x)

∴ Given function is an even function

b)

Given g(x) = |x -3|

Even function

If g(-x) = g(x) , then the function is even function.

g(-x) = |-(x-3)|

      = |x-3|

g(-x) = g(x)

∴ Given function is an even function

c)

odd function

If f(-x) =- f(x) , then the function is odd function.

f(-x) = [tex]f(-x) = \frac{-x}{(-x)^{2}+1 } = \frac{-x}{x^{2}+1 } = - f(x)[/tex]

      = -f(x)

f(-x) = -f(x)

∴ Given function is odd function

d)

If g(-x) = g(x) , then the function is even function.

g(x) = x + x²

g(-x) =  -x + (-x)²

     = - (x - x²)

This is not either even or odd function

∴ Given function is neither function

a)  f(x) = x² -9

function is an even function

b)  g(x) = |x -3|

function is an even function

c) f(x)= x / x²-1

function is  odd function

d) g(x) = x + x²

Given function is not an even not odd function

This function is neither even or odd

Here, we have,

a) Given f(x) = x² -9

Even function

If f(-x) = f(x) , then the function is even function.

f(-x) = (-x)² -9

     =  x² -9

     = f(x)

f(-x) = f(x)

∴ Given function is an even function

b)

Given g(x) = |x -3|

Even function

If g(-x) = g(x) , then the function is even function.

g(-x) = |-(x-3)|

     = |x-3|

g(-x) = g(x)

∴ Given function is an even function

c)

odd function

If f(-x) =- f(x) , then the function is odd function.

f(-x) = -x/(-x)²-1

     = -f(x)

f(-x) = -f(x)

∴ Given function is odd function

d)

If g(-x) = g(x) , then the function is even function.

g(x) = x + x²

g(-x) =  -x + (-x)²

    = - (x - x²)

This is not either even or odd function

∴ Given function is neither function.

To learn more on function click:

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Answer:

P (X≤1) = 0.000

Step-by-step explanation:

Data given:

p = 79% = 0.79

q = 1 - 0.79 = 0.21

n = 16

P (no more than 1 in 16 adults) = P (X≤1)

P (X≤1) = P (X=0) + P (X=1)

We can find the probability by using binomial functions:

[tex]P=\frac{n!}{x!(n-x)!}p^x(1-p)^{n-x}[/tex]

P(X=0) = (16! / 0!(16-0)!) · 0.79⁰ · 0.21¹⁶

Use calculator to solve:

P(X=0) = 0.000000000798

P(X=1) = (16! / 1!(16-1)!) · 0.79¹ · 0.21¹⁵

Use calculator to solve:

P(X=1) = 0.000000034506

P (X≤1) = P (X=0) + P (X=1)

P (X≤1) = 0.000000000798 + 0.000000034506

P (X≤1) = 0.00000003530

P (X≤1) = 0.000

As 1 is a very low number, its probability is very small

Answer: 72

Step-by-step explanation:

Total Score of 90 nos

90 x 60 = 5400

Total score of 60 nos

60 x 90 = 5400

Average of (90 + 60) = 10800 / 150 = 72

Answer:

72

Step-by-step explanation:

You need to find the average of all the number.  However, you are given two averages that have unequal numbers.  To solve, you need to multiply each average by the amount of number it has in it.

90 × 60 = 5400

60 × 90 = 5400

You need to find the total amount of number as well as the total value of the numbers.

90 + 60 = 150

5400 + 5400 = 10800

Divide the total value by the total amount of number to find the average.

10800/150 = 72

The total average is 72.

Answer:

C =43.96 ft

Step-by-step explanation:

The circumference of a circle is given by

C = pi * d where d is the diameter

C = 3.14 * 14

C =43.96 ft

Answer:

i cant see the bottom

Step-by-step explanation:

Answer:

x=-3y-3

Step-by-step explanation:

x+3y=-3

x=-3y-3

Answer:

x= -3y-3

Step-by-step explanation:

x+3y= -3

Subtract 3y from both sides

x= -3y-3