(b) In a sale the original prices are reduced by 15%.
(i) Calculate the sale price of a book that has an original price of $12.
$
(ii)
Calculate the original price of a jacket that has a sale price of $38.25.

Answer:

17

Step-by-step explanation:

6 x 2 = 12 so 12 + 5 = 17

Dylan would have to pay $17.

For such questions it is best to form an expression.

The parking fee has a fixed cost of $5.

It also has a cost per hour of $2.

This means that if a person spends t hours at the parking lot, they will have to pay $2 per hour for those t hours.

Expression = 2 x t = 2t

Whole expression including the fixed amount is:

5 + 2t

If Dylan parked for 6 hours therefore, he would pay:

= 5 + 2 t

= 5 + 2 x 6

= $17

Dylan would therefore have to pay $17 if he left his car for 6 hours.

Find out more at https://brainly.com/question/21294839.

Christopher's distance from his starting point is 3.6 km

Since Christopher initially walks South 5 km and then walks on a bearing of of 036º until he is due east of his starting point.

His distance South, his distance from his starting point and his distance from his 036º bearing, all form a right-angled triangle.

This right-angled triangle with opposite side to the angle 036º, as his distance from his starting point, x and the adjacent side to the angle 036º, as his distance 5 km south.

Since we have both the opposite and adjacent sides of a right-angled triangle,

From trigonometric ratios,

tanФ = opposite/adjacent

tanФ = x/5 km

Now Ф = 036º

So, tan36º = x/5km

x = 5 km(tan36º)

x = 5 km (0.7265)

x = 3.633 km

x ≅ 3.6 km to 1 decimal place.

So, Christopher's distance from his starting point is 3.6 km.

Learn more about bearing here:

https://brainly.com/question/11684993

Answer:

Step-by-step explanation:

The secants form a proportion where the full length of the secant is the denominator of a fraction where the numerator is the external part of the secant.

7/(x + 7) = 6/(15 + 6)         Cross Multiply after combining

7 / (x + 7) = 6/(21)                

6 * (x + 7) = 7 * 21             Remove the brackets

6x + 42 = 147                   Subtract 42

6x = 147 - 42

6x = 105                           Divide by 6

x = 17.5

I think I've done this correctly. If you find an error, please let me know and I'll open it for editing.

Answer:

(88°/360°) * total number of students= 110

88x=39600

x=450 students

x is the total number of students

(140/360)*450=175 students going by bus

if u like my answer mark as brainliest

Answer:

the answer is D

Step-by-step explanation:

First you make the y = 0 then you swap the sides

3/2x^2-6x=0 then you factor the expressions X * (3/2x-6)=0. when the product of factors 0, one of the factors are 0.  X=0 finally solve for the other X. 3/2x-6=0  X=0 X=4  

Answer:

y = 3x + 3

Step-by-step explanation:

As x increases, y increases by 3. Therefore, the slope of the function is 3.

Setting x = 0 will give an output of 3. Therefore, the y-intercept is (0, 3).

Overall, the function rule for the given data set is y = 3x + 3.

Answer:

H

Step-by-step explanation:

Jackie

[tex] \sqrt{9} + \sqrt{25} = 3 + 5 = 8[/tex]

Jesse

[tex] \sqrt{9 + 25} = \sqrt{34} [/tex]

Taking the difference, we get the answer to be

[tex]8 - \sqrt{34} [/tex]

Answer:

Step-by-step explanation:

x2 - x - 12

x2 - 4x + 3x - 12

x(x - 4) + 3(x - 4)

(x - 4) (x+ 3)

-4 + 3 will make -1 for -1x

-4 x 3 will make -12

Thus, the factored form will be (x-4)(x+3)

Answer:

51 gingerbread cookies

Step-by-step explanation:

Find how many gingerbread cookies he got by finding 75% of 68:

68(0.75)

= 51

So, Jacob got 51 gingerbread cookies.

Answer:

405

Step-by-step explanation:

A = P(1-r)^t

A = 500 (1-.1)^2

A = 500 (.9)^2

   = 500*0.81

   = 405

Answer:

turning it I think.........

Answer:

hope it helps

Step-by-step explanation:

Answer:

SEE THE IMAGE FOR SOLUTION..

Answer:

6 choose 3 = 20

Step-by-step explanation:

[tex]=\frac{n!}{r!\left(n-r\right)!}[/tex]

6 choose 3 = 20

The total combinations of fruit he can bring is 20 if Bill has an apple, an orange, a pear, a grapefruit, a banana, and a kiwi at home and he wants to bring three pieces of fruit to school the answer is 20.

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

Bill has an apple, an orange, a pear, a grapefruit, a banana, and a kiwi at home and he wants to bring three pieces of fruit to school

Total number of fruits = 1+1+1+1+1+1

Total number of fruits = 6

n = 6

He wants to bring three pieces of fruit to school,

r = 3

Total combination:

= C(6, 3)

= 6!/(6-3)!3!

= 720/(6)(6)

= 720/36

= 20 combination

Thus, the total combinations of fruit he can bring is 20 if Bill has an apple, an orange, a pear, a grapefruit, a banana, and a kiwi at home and he wants to bring three pieces of fruit to school the answer is 20.

Learn more about permutation and combination here:

https://brainly.com/question/2295036

#SPJ5

Answer:

Step-by-step explanation:

We can see:

This is a linear relationship. Use point-slope form to find the equation:

Answer:

$10.80 (about $11)

Brainliest, please!

Step-by-step explanation:

20% = 0.2

+20% = x 1.2

1.5 x 1.2 = 1.8

1.8 x 6 = 10.8

Tanθ = opposite / adjacent

[tex] \tan(32) = \frac{x}{25} \\ 0.624 = \frac{x}{25} \\ x = 15.6 \\ x = 16[/tex]

I hope I helped you ^_^

Answer:

x=4       -3/2 =x

Step-by-step explanation:

y = (x – 4)(2x + 3)

To find the x intercepts set y=0 and solve for x

0 = (x – 4)(2x + 3)

Using the zero product property

0= x-4    0= 2x+3

x=4        -3 = 2x

x=4       -3/2 =x

Answer:

We can find the x intercepts by setting this equation equal to 0.

So we have:

0 = (x-4)(2x+3)

So we get:

x-4 = 0, x = 4

2x+3 = 0, x = -3/2

The x intercepts are 4 and -3/2

Hope this helps!

Answer:

3

Step-by-step explanation:

7-4

Answer:

The correct answer for your geometric series is 4 13/27 (mixed form) or 121/27.

Step-by-step explanation:

Answer:

Step-by-step explanation:

r =term 1 ÷ term 2 = 1 ÷ 3 = 1/3

a =term 1 = 3

n = 5

[tex]Sum = \frac{a(1-r^{n})}{1-r}[/tex]

        [tex]= \frac{3*(1-(\frac{1}{3})^{5}}{1-\frac{1}{3}}\\\\=\frac{3*(1-\frac{1}{243})}{\frac{2}{3}}\\\\=\frac{3*\frac{242}{243}}{\frac{2}{3}}\\\\=3*\frac{242}{243}*\frac{3}{2}\\\\=\frac{121}{27}\\\\=4 \frac{13}{27}[/tex]

Step-by-step explanation:

[tex]1 \div 100th[/tex]

Answer:

x=5

Step-by-step explanation:

1 - x = 16 - 4x

Rearrange :

-x +4x = 16 - 1

3x = 15

x = 5.

Hence, there is one solution : {5}

Answer:

x=5

Step-by-step explanation:

1-x=16-4x

-1 -1

-x=15-4x

+4x. +4x

3x=15

/3. /3

x=5

A = pi x r x l

= 3.14 x 5 x 13

= 204.1

Answer:

282.7 mi^2

Step-by-step explanation:

Surface area of cone=pi*r*(r+l)=pi*5*18=282.7

Answer:

There's no chart below

Step-by-step explanation:

Answer:

6.2 coins he will have

Step-by-step explanation:

its the anwser on han i go it wrong :( the first time and 12 was the anwser!

Answer:

x=4sqrt3 a=4 b=3  ,y=8sqrt3 c=8 d=3

Step-by-step explanation:

because this is a 30-60-90 triangle, it is easy to find the side lengths. the longer leg is sqrt(3) times the shorter leg so x= 12/sqrt(3) or 4sqrt(3). the hypotenuse is 2 times the shorter leg so y= 8sqrt(3)

Answer:

30 lamps

Step-by-step explanation:

30*2= 60

Answer:

sqrt(5) + 8

The result is irrational because the sqrt(5) is a non-repeating, non terminating decimal that cannot be written as a fraction.

Brainliest, please!

Step-by-step explanation:

sqrt(5) + 2sqrt(16)

sqrt(5) + 2(4)

sqrt(5) + 8

The sum of square root 5 and 2 square root 16 in simplest form is, √5 + 8 and it is irrational number

In mathematics, square roots is a concept in which, if we multiply square roots of any number by itself then it will give us an original number.

if 'a' is square root of 'b' then it will represent as, a = √b.

Given that,

Two numbers

square root 5

2 square root 16

sum of square root 5 and 2 square root 16 in simplest form = ?

Sum  =  √5  + 2√16

         =  √5  +  2×4

         =    √5 + 8

the maximum possible simplest form is √5 + 8

As it is clear that, it is a irrational number

Because, √5 can not be written in P/Q form

Hence, the sum is √5 + 8

To know more about square root check:

https://brainly.com/question/29286039

#SPJ2

Answer:

n = 19

Step-by-step explanation:

get the -37 to the other side and solve it

Answer:

3rd answer

Step-by-step explanation:

-37+n=56

n=56+37

n=93

Step-by-step explanation:

The number which is repeated more times will be mode...

So...

11 is Answer

Answer:

[tex]area \: of \: a \: squre = {a}^{2} \\ {a}^{2} = 176 \\ a = 13.26m \\ perimeter = 4a = 4 \times 13.26 = 53.04m^2 \\ thank \: you[/tex]

Answer:

Concept:

Here, we need to know how to find the area and perimeter of the square.

Area (square) = s²

Perimeter (square) = 4s

Solve:

Given information

Area = 1764 m²

Given formula

A = s²

Substitute values into the formula

1764 = s²

Square root both sides

√s² = √1764

[tex]\boxed{s=42m}[/tex]

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

Given information

s = 42 m

Given formula

P = 4s

Substitute values into the formula

P = 4 (42)

Simplify by multiplication

[tex]\boxed{P=168m}[/tex]

Hope this helps!! :)

Please let me know if you have any questions