Q.1 You are Nu.9 in debt. You borrowed Nu. 15 more. What is the total amount of your debt?​

Answer:

$30.21

Step-by-step explanation:

100% -25%= 75%

Discounted price of the book

= 75% ×$38

= $28.50

Since the customer must pay an additional 6% of the discounted price,

percentage of discounted price paid

= 100% +6%

= 106%

Total amount paid

= 106% × $28.50

= $30.21

_________________________________

Alternative working:

Original selling price= $38

Since the book is discounted 25%,

100% ----- $38

1% ----- $0.38

75% ----- 75 ×$0.38= $28.50

Since the sales tax is based on the discounted price, we let the discounted price be 100%.

100% ----- $28.50

1% ----- $0.285

106% ----- 106 ×$0.285= $30.21

∴ The total amount the customer pays for the discounted book is $30.21.

Answer:

116 degrees

Explanation:

If we divide the triangle from the vertex of the triangle, the vertex angle of each triangle would lie on a straight line in the triangle. Angle on a straight line is 180 degrees.

If the vertex angle of one triangle is 64 degrees then the vertex angle x of the other triangle is 180 degrees - 64 degrees = 116 degrees.

Answer:

3 divided by 7 and x=-1.5*x

Step-by-step explanation:

Answer:

jjanation:jdgjdjgdjgjkdkidjgjghdjjghhkd

Answer:

x=2

Step-by-step explanation:

the sides are proportional due the angles being equal

since the hypotonuse is 5 on the bigger one and 2.5 on the small one we can infer there is a ×2 difference

so 4÷2=x

x=2

Answer:

37.68 in.^3

Step-by-step explanation:

diameter = 4 in.

radius = diameter/2 = 2 in.

height = 9 in.

[tex] V = \dfrac{1}{3}\pi r^2 h [/tex]

[tex] V = \dfrac{1}{3}(3.14)(2~in.)^2(9~in.) [/tex]

[tex] V = \dfrac{1}{3}(3.14)(2~in.)^2(9~in.) [/tex]

[tex] V = \blue{37.68~in.^3} [/tex]

Step-by-step explanation:

....

I Dont Known........

Answer:

16 full cases

Step-by-step explanation:

4 quarts to a gallon

50 gallons is 200 quarts (50 x 4)

200 quarts / 12 quarts per case = 16.66667 (.66667 isn't a full case)

so, it's 16

Step-by-step explanation:

2³×2^n+2=32

2^3+n+2=2⁵

n+5=5

n=0

[tex]_____________________________________[/tex]

[tex]\sf\huge\underline\red{ANSWER:}[/tex]

[tex]\tt n = 0[/tex]

[tex]\sf\huge\underline\red{SOLUTION:}[/tex]

[tex]\tt8 \times {2}^{n + 2} = 32 \\ = \tt {2}^{3} \times {2}^{n + 2} = 32 \\ = \tt {2}^{n + 5} = 32 \\ = \tt {2}^{n + 5} = {2}^{5} \\ = \tt n + 5 = 5 \\ = \tt n = 5 - 5 \\ = \large\boxed{\tt{\green{n = 0}}}[/tex]

[tex]_____________________________________[/tex]

[tex]\large\boxed{\sf{\green{CarryOnLearning}}}[/tex]

[tex]\large\boxed{\sf{\red{MathDemonQueenシ︎✌︎}}}[/tex]

[tex]\large\boxed{\sf{\green{ItsMoreFunInThePhilippines✌︎}}}[/tex]

Answer:

Step-by-step explanation:

E(-1,6)  & F(-2,-10)

[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\ \ \ \ = \frac{-10-6}{-2-[-1]}\\[/tex]

[tex]=\frac{-10-6}{-2+1}\\\\=\frac{-16}{-1}\\\\= 16[/tex]

Slope of the line perpendicular to this line = -1/m =  -1/16

9514 1404 393

Answer:

  u = -3 3/7

Step-by-step explanation:

The new value of v is 4/-7 = -4/7 of the old value. Because u varies directly, its new value will also be -4/7 of the old value.

  u = -4/7(6) = -24/7

  u = -3 3/7

Answer:

3 : 7

Step-by-step explanation:

The ratio of girls to boys = 4 : 3

Since there are only two possible genders :

Then the total fraction of student is the sum of the ratio = (4 + 3)

Since,

Boys = 3

The ratio of boys to the total number of student in the class will be :

Boys : Total

3 : 7

Answer:

x = 4 (ONE solution)

Step-by-step explanation:

This is a first order linear equation, so we can expect 1 solution.

Multiplying out the left side, we get:

8x - 24 = 7x - 20, which simplifies to:

x = 4 (ONE solution)

Answer:

30 hour

Step-by-step explanation:

girls time

12 20 hour

8 x(let)

now,

12/8=x/20

12×20=8×x

240=8x

x=240/8

x=30,,

Answer:

Rs. 42000

Step-by-step explanation:

Let us assume that Mr. Ahmed bought the bicycle for Rs. x, and sold it for Rs. y to Mr. Saad. Since he made a loss of 28%, hence:

y = x - 0.28x = 0.72x

Mr. Saad spent Rs.1680 on its repairs, therefore the total cost price of the motorcycle = 0.72x + 1680

He then sold it for Rs.35910 making a profit of 12.5%. Therefore:

0.72x + 1680 + [0.125(0.72x + 1680)] = 35910

0.81x + 1890 = 35910

0.81x = 34020

x = Rs. 42000

Therefore the cost price of the motorcycle for Mr. Ahmed is Rs. 42000

Answer:

x = 62

Step-by-step explanation:

62 and x are alternate exterior angles and alternate exterior angles are equal when the lines are parallel

Answer:

14.5%

Step-by-step explanation:

Use the number 100 as an example to find the single discount.

Take a 10% discount off of this:

100(0.9)

= 90

Take a 5% discount:

90(0.95)

= 85.5

So, after the successive discounts, $14.5 was discounted.

This means that the single discount is 14.5%.

So, the answer is 14.5%

Answer:

y = 1(x - 5)² + 3

Step-by-step explanation:

The general formula of a quadratic equation is written as;

y = a(x − h)² + k

Where (h, k) are the x and y coordinates at the vertex.

Our vertex coordinate is (5, 3)

Thus;

y = a(x - 5)² + 3

Now,we are given another coordinate as (8, 12)

Thus;

12 = a(8 - 5)² + 3

12 = 9a + 3

9a = 12 - 3

9a = 9

a = 9/9

a = 1

Thus,the equation is;

y = 1(x - 5)² + 3

Answer: 17 and a half

Step-by-step explanation:

M    D    W

20  24  480

20   21  420

24   17 and a half  420

= 17 and a half

Answer:

Step-by-step explanation:

Note : any number or variable with it's power 0 is considered as one.

Last one is the solution to find the two ration numbers between 2/5 and 3/4 (question which u asked just before this question).

Answer:

3 - 2i

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Identify

(1 + 3i) + (2 - 5i)

Step 2: Simplify

Answer:

y < -7.

Step-by-step explanation:

y - 6 < -13

Add 6 to both sides:

y - 6 + 6 < -13 + 6

y < -7.

Answer:

-8

Step-by-step explanation:

An equation at represents this situation is:

-5 = 3 + x

Find x by;

-5 - 3 = -8

So x is -8:

-5 = 3 + -8 (TRUE)

Hope this helps

[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]

Sum of the two numbers = [tex]-5[/tex]

One of the number = [tex]3[/tex]

[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]

The other number.

[tex]\sf \bf {\boxed {\mathbb {SOLUTION:}}}[/tex]

The other number is [tex]\sf\blue{-8}[/tex].

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]

Let the other number be [tex]x[/tex].

As per the question, we have

[tex]Sum \: \: of \: \: the \: \: two \: \: numbers = -5 [/tex]

[tex]➺ \: 3 + x = - 5[/tex]

[tex]➺ \: x = - 5 - 3[/tex]

[tex]➺ \: x = - 8[/tex]

[tex]\sf\purple{Therefore,\:the\:other\:number\:is\:-8.}[/tex]

[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}[/tex]

[tex] ➪ \: 3 + ( - 8) = - 5[/tex]

[tex] ➪ \: 3 - 8 = - 5[/tex]

[tex] ➪ \: - 5 = - 5[/tex]

➪ L. H. S. = R. H. S.

[tex]\sf\orange{Hence\:verified.}[/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35\:ヅ}}}}}[/tex]

We are looking for the total amount of the solution. We only know part of it, that there are 18 milliliters of the alcohol. We also know that the alcohol makes up only 60% of the solution.

To find the whole, we can set up a proportion using the information given.

60 / 100 <--- This is our percentage, which we were given.

18 / x <--- This is the part (alcohol - 60%) over the whole, which we don't know and which also corresponds to the 100.

Therefore, our proportion is as such:

60 / 100 = 18 / x

To solve, cross-multiply.

100 * 18 = 60 * x

1800 = 60x

x = 30 total milliliters of the solution

Hope this helps!

upandover has a great solution. Here's a slightly different approach.

x = total amount of solution (consisting of water and alcohol mixed)

0.60x = 60% of x = amount of pure alcohol

0.60x = 18 since we have 18 mL of pure alcohol

Divide both sides by 0.60 to isolate x

0.60x = 18

x = 18/0.60

x = 30

Answer:  30 mL of total solution (alcohol + water).

Answer:

2

Step-by-step explanation:

Value = 80

Mean = 70

Variance = 25

Standard deviation=root(Variance)=root(25)=5

z score = (value - mean)/standard deviation

            = (80-70)/5

            = 10/5

            = 2

z-score using mean 70 and variance 25 is 2

Given :

A final statistics exam had a mean of 70 and a variance of 25

First we find out standard deviation using variance

standard deviation =[tex]\sqrt{variance} =\sqrt{25} =5[/tex]

Now we find out z-score

[tex]z-score =\frac{value - mean}{standard \; deviation }[/tex]

value =80

mean=70 and standard deviation =5

substitute all the values

[tex]z-score = \frac{80-70}{5} =2[/tex]

So, his z-score using mean and variance is 2

Learn more : brainly.com/question/10649097

Answer:

we have,AD=x cmBC=AD=x cmAB=2AD=2x cmDC=4 cm+AB=(4+2x)cmPerimeter of the trapezium, p=38 cm

The graph of [tex]f(x) = -2x + 8[/tex] has a slope of -2, and a y-intercept of 8

The function is given as:

[tex]f(x) = -2x + 8[/tex]

The above function is a linear function.

A linear function is represented as:

[tex]y =mx + c[/tex]

Where:

m represents the slope, and c represents the y-intercept.

So, by comparison;

[tex]m =-2[/tex]

[tex]c = 8[/tex]

This means that the graph of [tex]f(x) = -2x + 8[/tex] has a slope of -2, and a y-intercept of 8

See attachment for the graph of the function

Read more about linear functions at:

https://brainly.com/question/15602982

Answer:

a.) 15 feet

b.) 3.25 seconds

c.) 17.1125 feet

d.) 12.5 seconds

Step-by-step explanation:

a

This is just asking for the y intercept

to get this just do h(0)= 15

b

This is asking for the x value of the vertex

solve that through -b/2a

-1.3/(2*-.2)= 3.25

c

This is asking for the y value of the vertex

to solve this plug in the x value from b

-.2*3.25²+1.3*3.25+15= 17.1125

d

This is asking for an x intercept

using the quadratic formula...

[tex]\frac{-b(+-)\sqrt{b^2-4*a*c}}{2a}=\frac{-1.3(+-)\sqrt{1.3^2-4*-.2*15}}{2*-.2}= -6, 12.5[/tex]

*note the (+-) before the radical is ± *

logic will tell us that a negative x intercept doesn't make any sense so we only take the positive value, 12.5

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A=3.7

Answer:

-6 < y < ∞

Step-by-step explanation:

The range is the values that y can take

y goes from  almost -6 to infinity ( there is an asymptote at -6)

-6 < y < ∞

Answer: The graph of g is the graph of f translated 5 units right, and g(x) = f(x - 5).

Step-by-step explanation:

The graph f(x) = 2x = 6 translated (1,4,5 or 6) units (left, right, up, or down) are g(x) = 2(x + 1) + 6, g(x) = 2(x - 4),  2x + 11, g(x) = 2x.

Suppose we have a function f(x).

f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).

f(x ± c) = Horizontal left/right shift by c units (x - + c, y).

(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).

f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).

f(-x) = Reflection over y axis, (-x, y).

-f(x) = Reflection over x-axis, (x, -y).

Given, a function f(x) = 2x + 6.

g(x) is translated 1 units left.

g(x) = 2(x + 1) + 6.

g(x) is translated 4 units right.

g(x) = 2(x - 4).

g(x) is translated 5 units up.

g(x) = 2x + 6 + 5 = 2x + 11.

g(x) is translated 6 units down.

g(x) = 2x.

learn more about graphs here :

https://brainly.com/question/2288321

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