Can someone help me with this.

Answer:

The original price is $90.

Step-by-step explanation:

100% - 40% = 60%

[tex]\frac{54}{y} :\frac{60}{100}[/tex]

y × 60 = 54 × 100

60y = 5400

60y ÷ 60 = 5400 ÷ 60

y = 90

Answer:

90

Step-by-step explanation:

If the discount is 40%, we are still paying 100-40% or 60 %

original price * 60% = sale price

original price * .6 = 54

Divide each side by .6

original price = 54/.6

original price =90

Answer:

x(x-x[tex]y^{2}[/tex]+y)

Step-by-step explanation:

Answer:

101°

Step-by-step explanation:

Answer:

Between 32 and 37

Step-by-step explanation:

Here, we simply want to get the data portion represented by the box alone

we can see that the box starts from 32

It ends at the number 37

Note;

between each individual number on the plot, we have 5 small lines indicating an extra point

Answer:

-6.13406 and 61.13406

Step-by-step explanation:

x + y = 55

x × y = -375

y = 55 - x

x × (55 - x) = -375

55x -x² = -375

x² - 55x - 375 = 0

solution of a quadratic equation :

x = (-b ± sqrt(b² - 4ac))/(2a)

a=1

b=-55

c=-375

x = (55 ± sqrt(55² + 4×375))/2 = (55 ± sqrt(4525))/2 =

= (55 ± sqrt(25 × 181))/2 = (5×11 ± 5×sqrt(181))/2 =

= 5/2 × (11 ± sqrt(181)) =

= 61.13406... or -6.13406...

y = 55 - 5/2×(11 ± sqrt(181)) = 55/2 ± 5/2×sqrt(181) =

= -6.13406... or 61.13406...

Answer:

70in.

Step-by-step explanation:

Since the given formula for perimeter is [tex]2l + 2w[/tex], all that's needed is to fill in the blanks with the numbers they give us.

[tex]2l + 2w[/tex]                  (Fill in for given length and width)

[tex]2(20)+2(15)[/tex]         (Multiply)

[tex]40 + 30[/tex]                  (Add)

[tex]70[/tex]

It tells us that length ([tex]l[/tex]) is 20 and that width ([tex]w[/tex]) is 15. So all that we have to do is use the equation it gave us to solve the equation.

I hope this helped :)

Step-by-step explanation:

Hey there!

Here;

Length (l) = 20 in

Width (w) = 15 in

Perimeter(p) = ?

We have;

Perimeter of rectangle (p) = 2l + 2w

= 2(l+w)

= 2(20+15)

= 2*35

= 70 inches

Therefore, perimeter of rectangular picture is 70 inches.

Hope it helps!

Answer:

[tex] { \tt{8 \sqrt{2} + 2 \sqrt{8} }}[/tex]

separate the biggest root ( √8 ):

[tex]{ \tt{ = 8 \sqrt{2} + 2 \sqrt{4 \times 2} }} \\ = { \tt{ 8 \sqrt{2} + (2 \times 2) \sqrt{2} }} \\ = { \tt{8 \sqrt{2} + 4 \sqrt{2} }}[/tex]

factorise √2 out:

[tex] = { \tt{(8 + 4) \sqrt{2} }} \\ \\ = { \bf{12 \sqrt{2} }}[/tex]

Answer:

ok so the equation would look like this

B=1.5A

so b is 1.5 times more then a

Answer:

x = 26.4

Step-by-step explanation:

Hi there!

What we need to know:

Basic trigonomic ratios (θ is the reference angle):

Given the diagram, we can see that the reference angle is x. We are also given the hypotenuse (9) and the opposite side length (4). With the opposite and the hypotenuse, we know that we need to use the sine ratio:

sin(x) = 4/9

To solve for an angle given the side lengths, we use the inverse functions:

x = sin^-1 (4/9)

x = 26.4

I hope this helps!

Answer:

192 cm

Step-by-step explanation:

length of the ribbon needed = perimeter of right angled triangle x 2

to determine perimeter, the value of the hypotenuse needs to be known

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

32² + 24²

= 1024 + 576

= 1600

square root = 40

length of rope = 2 x (40 + 32 + 24) = 192

Answer:

B 5/6 * -11/-7

Step-by-step explanation:

-5 / -7 = 5/7

-11/-6 = 11/6

Multiply

5/7 * 11/6

Rewriting

5/6 * 11/7

We can make  the 11 and the 7 negative (-11/ -7 = 11/7)

5/6 * -11/-7

Answer:

[tex]{ \tt{circumference \approx\pi \: d}} \\ \approx{ \tt{3.14 \times 15}} \\ \\ \approx47.124 \: inches[/tex]

Answer:

No problem, here is a tip

Step-by-step explanation:

take each whole number then multiply it by the percent in decimal form. So if its 90% of 136 you do 136 * 0.9

Answer:

distance = 68 pie x

Step-by-step explanation:

Hope this helps

Answer:

6.875 degrees

Step-by-step explanation:

[tex]Total=7\times8=56\\56-1=55\\mean for 8 days=\frac{55}{8} =6.875 degrees[/tex]

Answer:

Step-by-step explanation:

➡️ Pembahasan:

Bilangan Genap adalah bilangan yang dapat di bagi 2.

➡️ Penyelesaian Soal:

10 bilangan genap adalah

[tex]HAVE \: \ \: A \: \: \: \: NICE \: \: \: \: DAY![/tex]

Answer:The expression that can be used to convert 100 USD to Japanese Yen is 100 USD = 100/Y Japanese Yen.

Step-by-step explanation:

Answer:

She worked 18 hours of overtime.

Step-by-step explanation:

If she works 40 hours per week and gets $200, subtract $380 - $200 = $180.

If you multiply $180 by 0.1 (which is 10% converted to a decimal), you get 18 which is your final answer.

Answer:

x = 13°

Step-by-step explanation:

Since the lines are parallel , then

the lower left vertex of the triangle = 85° ( alternate angles )

the lower right vertex of the triangle = 180° - 98° = 82° ( adjacent angles )

Then

x = 180° - (82 + 85)° = 180° - 167° = 13° ( angle sum of triangle )

Answer:

A

Step-by-step explanation:

The green is the starting place, when you move from a point on the green triangle to the blue one, you go 5 to the left and 3 down.

Answer:

1499

Step-by-step explanation:

Given that :

New discounted price = 1274

Let original price = p

Reduction in original price = 225

Original price is the sum of the reduction and the new discounted price

The Original price = Reduction in original price + new discounted price

P = 225 + 1274

P = 1499

Answer:0,-16; 1, -13; 2, -10; 3,-7; 4, -4; 5,-1; 6,2; 7,5

Step-by-step explanation:

Answer:

yes for all 4.

Step-by-step explanation:

I am not sure I see the whole information.

but if the question truly is simply, whether a polygon can have an internal angle of 165 or 171 or 75 or 40 degrees, then the answer is a resounding yes to all 4.

the simplest polygon is a triangle.

the sum of all angles in a triangle is always 180 degrees.

so, any angle smaller than 180 degrees is a possible internal angle in a triangle (and therefore in polygons in general), because the difference to 180 can then be split into 2 angles (e.g. half/half).

so, if one angle is 165 degrees, then the other two angles have to have 15 degrees together (e.g. 10 and 5, or 7 and 8, or 2 and 13, or ...). they will be narrow angles, but they are still angles.

similar for 171 degrees. now the other two angles have to have only 9 degrees together. like 5 and 4.

for 75 degrees the other two angles must have 180-75 = 105 degrees together. like 20 and 85.

for 40 degrees the other two angles must have 180-40 = 140 degrees together. like 90 and 50.

Finishing the angles of the smaller triangle if E is 90 and F is 30 then G needs to be 180-90-30 = 60 degrees.

Angles G and C are supplementary angles which need to equal 180 degrees

Angle c = 180-g = 180-60 = 120

Angle c = 120 degrees.

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , then Δ EGF

∠ G = 180° - (90 + 30)° = 180° - 120° = 60°

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

c and g are adjacent angles and sum to 180° , then

c + g = 180° , that is

c + 60° = 180° ( subtract 60° from both sides )

c = 120

That is ∠ C = 120°

Answer:

three consecutive even integers whose sum is 24 are 6, 8 and 10.

Divide the total by amount of numbers. This will be the middle value:

24/3 = 8

The numbers are consecutive even numbers so use the even number below and above 8, which are 6 and 10.

6 + 8 + 10 = 24

The 3 consecutive even numbers are 6, 8 and 10

Answer:

2400

2640

360

Step-by-step explanation:

I am not sure the description is totally clear.

my assumptions are (based on my interpretations of the text) :

the retailer buys from the dealer with 15% discount.

but the retailer has to sell the jacket for the same price as the dealer.

so, both mark the sale price as 2400.

if the customer buys from the retailer, the retailer makes 15% profit (the discount he got from the dealer).

15% = 2400 × 15/100 = 24 × 15 = 360

the retailer makes this profit no matter what other fees or taxes are added.

if the customer buys from the dealer, the dealer makes these 15% and some more (we don't know how much) profit.

now, the final price is to include also 10% VAT

100% = 2400

1% = 2400 / 100 = 24

10% = 24 × 10 = 240

so,

final price = SP + VAT = 2400 + 240 = 2640

Answer:

9

Step-by-step explanation:

Integer

Answer:

a- 14,11

b-13,63

Step-by-step explanation:

Answer:

A number used to multiply a variable. Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient. Variables with no number have a coefficient of 1.

Step-by-step explanation:

Hope it helps

Answer:

A number placed before and multiplying the variable in an algebraic expression (e.g. [tex]4[/tex] in [tex]4x[/tex]).

Step-by-step explanation:

Hope this is helpful.