After a 20% discount the phone cost is $70.40. What was the original price?

Answer:

x = 4

Step-by-step explanation:

Given that DE is parallel to AC then DE divides the sides proportionally, so

[tex]\frac{BD}{DA}[/tex] = [tex]\frac{BE}{EC}[/tex] , substitute values

[tex]\frac{x+2}{x}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )

3x = 2(x + 2) ← distribute

3x = 2x + 4 ( subtract 2x from both sides )

x = 4

Answer:

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Answer:

Step-by-step explanation:

I think its 2

Answer:

Step-by-step explanation:

28 kg + 750 g = 28*1000 + 750

                          28000 + 750

                       = 28750 g

Number of sack = Total quantity of sugar ÷ quantity of sugar in a sack

                           = 28750 ÷ 500

                           =  57 sacks

Answer:

57 sacks

Step-by-step explanation:

28750 ÷ 500 =

57 sacks

Glad to help! :)

Step-by-step explanation:

[tex]1) \\ - 2 \leqslant x \leqslant 1 \\ 2) \\ - 3 > x \geqslant 2 \\ 3) \\ x> 0[/tex]

[tex]4) \\ x \leqslant - 3 \\ 5) \\ - 4 \leqslant x \geqslant 1[/tex]

[tex]6) \\ - 2< x \leqslant 0[/tex]

Answer:

239 mm^2

Step-by-step explanation:

We will split the figure into 3 pieces

The bottom rectangle

A = l*w = 7*3 = 21 mm^2

The top rectangle

A = l*w = 5*10 = 50 mm^2

The right triangle

A = 1/2 b*h = 1/2 ( 16) * (16+5) = 8 * (21) = 168 mm^2

The total area is 21+50+168 =239

Answer:

a) y > 14

Step-by-step explanation:

Proving that quadrilaterals are congruent takes more because all quadrilaterals are polygons of four sides and they all have a sum angle of 360°

A quadrilateral can be defined as a polygon shape that possesses four sides.

Congruent quadrilaterals are those quadrilaterals that are similar in sides and angles.

For example, a parallelogram needs to be proved by both the sides and the angles

In conclusion, Proving that quadrilaterals are congruent takes more because all quadrilaterals are polygons of four sides and they all have a sum angle of 360°

Learn more about Congruent quadrilaterals: https://brainly.com/question/224113

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Answer:

Option C: there are zeros between x = 1 and x = 2, x = 0 and x = -1

Step-by-step explanation:

The function is given as;

f(x) = -8x⁴ - 3x³ - 11x² + 8x + 16

Since it's the real zero of the polynomial we are looking for, it means there is a possibility of getting an imaginary zero of the polynomial.

A zero is the value of x that will make the polynomial equal to zero.

Let's try;

x = -2;

f(-2) = -8(-2)⁴ - 3(-2)³ - 11(-2)² + 8(-2) + 16

f(-2) = -128 + 24 - 44 - 16 + 16

f(-2) = -148

Let's try x = -1;

f(-1) = -8(-1)⁴ - 3(-1)³ - 11(-1)² + 8(-1) + 16

f(-1) = -8 + 3 - 11 - 8 + 16

f(-1) = -8

Let's try x = 0;

f(0) = -8(0)⁴ - 3(0)³ - 11(0)² + 8(0) + 16

f(0) = 16

Lets try x = 1

f(1) = -8(1)⁴ - 3(1)³ - 11(1)² + 8(1) + 16

f(1) = -8 - 3 - 11 + 8 + 16

f(1) = 2

Let's try x = 2;

f(2) = -8(2)⁴ - 3(2)³ - 11(2)² + 8(2) + 16

f(2) = -128 - 24 - 44 + 16 + 16

f(2) = -164

From the values of f(x) gotten from x= -2 to x =2, we can see that the zeros will be closest to x = 0 and x = - 1 and also between x = 1 and x = 2 since that is the range that produced f(x) to be close to zero.

Answer:

if you add 14 to 1750 you will get 1764 which equals 42²

Step-by-step explanation:

Answer:

The answer to this question is C.

Answer:

-9 1/4

Hope that this help!

Answer:

x = 6 m

Step-by-step explanation:

x = 16sin22°

x = 6.0 m

Answer:

Step-by-step explanation:

Answer:

-2 + 6i

Parallelogram

Step-by-step explanation:

( 5 - 2i ) + ( - 7 + 8i )

remove parenthesis

5 - 2i + ( -7 ) + 8i

combine like terms

5 + (-7) = -2

-2i + 8i = 6i

-2 + 6i

The arrows on the opposite sides indicate that the sides are parallel

A shape with two sets of parallel sides is known as a parallelogram

Answer:

84 cm^2

Step-by-step explanation:

8 * 21/2=84

Answer:

option A

Step-by-step explanation:

since the two sides of the triangle are equal the given triangle is an isosceles triangle.

Base angles of an isosceles triangle are equal.

angle P = angle R

32 degree = angle R

The measure of <QRP = 32 degree.

An isosceles triangle is one with two sides that are the same size and a third side that is a different size.

According to the isosceles triangle theorem, if two sides of a triangle are congruent, the angles across from those sides are likewise congruent.

We have,

A triangle whose two sides are 8 unit each and an angle 32.

As, we know a triangle whose two sides are equal is said to be isosceles triangle.

So, the given triangle is isosceles.

Now, angle opposite to equal sides are also equal.

so, <QPR = <QRP = 32 degree

Learn more about isosceles triangle here:

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Answer:

rtyujn

Step-by-step explanation:

er456y7ujm

Answer:

22 sides total

Step-by-step explanation:

a hexagon has 6 sides, while a pentagon has 5 sides. In order to find out how many there are total, we would multiply each by two, and add them together.

[tex]2(6)+2(5)=\\12+10=22[/tex]

Answer:

Part A

x + y ≤ 460

2.5·x + 1.25·y ≥ 600

Part B

192 bottles

Step-by-step explanation:

The given parameters are;

The selling price of a can of lemonade = $2.50

The selling price for each bottle of water = $1.25

The amount the club needs to raise to cover the cost of renting costumes, A = $600

The maximum acceptable cans and bottles = 460

Part A

Let 'x', represent the number of cans of lemonade accepted by the students, and let 'y' represent the number of bottles of water accepted, we have;

The situation can be represented by the following system of inequalities

x + y ≤ 460

2.5·x + 1.25·y ≥ 600

Part B

The number of cans of lemonade sold, x = 144

Therefore, we have;

2.5 × 144 + 1.25·y ≥ 600

1.25·y ≥ 600 - 2.5 × 144 = 240

1.25·y ≥ 240

y ≥ 240/1.25 = 192

y ≥ 192

The least number of bottles of water that must be sold to cover the cost of renting costumes, y = 192 bottles

Answer:

35/87

Step-by-step explanation:

To find the probability, we must find (total number of favorable outcomes)/ (total number of outcomes). We thus need to find the total number of outcomes. As people have only answered "yes" or "no", the total number of outcomes is 208+140 = 348.

The total number of favorable outcomes, or what we're looking for, is 140 (140 people responded that they had run a red light). Thus, our fraction is 140/348, or 35/87

Answer:  Most 1997 pennies in circulated condition are only worth their face value of $0.01. These coins can only sell for a premium in uncirculated condition. The 1997 penny with no mint mark and the 1997 D penny are each worth around $0.30 in uncirculated condition with an MS 65 grade. unless you have an very rare 1997 penny thats then when it would become worth 20$

Answer:

25, 32, 40 can not form a right angle triangle.

Step-by-step explanation:

By Pythagoras theorem,

⇒ (40)² = (25)² + (32)²

⇒ 1600 = 625 + 1024

⇒ 1600 ≠ 1689

Answer:

option b

Step-by-step explanation:

according to the pythagoras theorem to be right angled triangle the sum of square of two smaller sides must be equal to the square of hypotenuse.

so ,

20 and 21 are smaller sides and hypotenuse be 29

pythagoras theorem

a^2 + b^2 = c^2

20^2 + 21^2 = 29^2

400 + 441 = 841

841 = 841  (since both sides are equal it forms right angled triangle)

25 and 32 are smaller sides and 40 be hypotenuse

a^2 + b^2 = c^2

25^2 + 32^2 = 40^2

625 + 1024 = 1600

1649 = 1600 (both sides are not equal so it does not form right angle triangle)

30 and 72 are smaller sides whereas 78 is hypotenuse

a^2 + b^2 = c^2

30^2 + 72^2 = 78^2

900 + 5184 = 6084

6084 = 6084 (since both sides are equal it forms right angled triangle )

32 and 60 are smaller sides and 68 is hypotenuse

a^2 + b^2 = c^2

32^2 + 60^2 = 68^2

1024 + 3600 = 4624

4624 = 4624  (since both sides are equal it forms right angled triangle )

Answer:

Step-by-step explanation:

biofertilizers are fertilizers consist of micro-organisms that will help plant growth. they are different from traditional fertilizers which consist of chemicals

Answer:

Any fertilizers involving living organisms, or the products obtained from living organisms can be referred to as biofertilizer, although nowadays, the term is generally used for living organisms used for fertilizer purpose.

Step-by-step explanation:

Hope this helps

Answer:

[tex]y = - \frac{1}{2} x + 4[/tex]

Step-by-step explanation:

Let us consider two points through which the line passes through

[tex](x_1 , y _ 1 ) = ( 0 , 4 ) \ and \ (x_ 2 , y _ 2 ) = ( 4, 2 )[/tex]

Step 1 : Find slope of the line

[tex]Slope, m_1 = \frac{rise}{run} \\\\That \ is \ m_1 \ = \frac{y_2 - y _ 1}{x_2 - x_1}[/tex]

                  [tex]= \frac{2 - 4}{4-0} \\\\=-\frac{2}{4}\\\\= - \frac{1}{2}[/tex]

Step 2 : Find equation of the line.

[tex](y - y _ 1) = m_ 1 (x - x_1)\\\\( y - 4) = - \frac{1}{2}(x - 0)\\\\y = -\frac{1}{2}x + 4[/tex]

Answer:

-k

Step-by-step explanation:

Cos(140)=cos(180-40)=-cos(40)=-k

Answer:

Step-by-step explanation:

Sin (90 - A)  = Cos A

Cos (90 + A) =   -Sin A

Sin 50 = Sin (90 - 40)

          = Cos 40

         = k

Cos 140 = Cos (90 + 50)

             = - Sin 50

            = (- k)

Answer:

The customer should pay RS 506 for a novel book costing RS 450.

Step-by-step explanation:

We are given that

Selling price of calculator, S.P=RS 756

Cost of calculator, C.P=RS 700

We have to find S.P of novel book when the cost of novel book RS 450.

Profit=S.P-C.P

Profit=756-700

Profit=RS 56

Profit of each item is equal.

Therefore, profit for novel book=RS 56

C.P of novel book=RS 450

S.P=C.P+ Profit

Using the formula

S.P=450+56

S.P=RS 506

Hence, the customer should pay RS 506 for a novel book costing RS 450.

Answer:

y= 5x

Step-by-step explanation:

since each x number is 1/5 of the y, it's 5 times x = y

Answer:

the slope of the graph is 3/2

Step-by-step explanation:

Answer:

D. 3x + 1

Step-by-step explanation:

Answer:

6/9 and 4/6

Step-by-step explanation:

Double and Triple the number