A trader buys tea for $1200 and sells it for $1500. Per sack of tea he makes a profit of $50. How many sacks of tea did he have?

Answer:

x = 7/3

Step-by-step explanation:

3(x-4)=-5

Distribute

3x - 12 = -5

Add 12 to each side

3x -12+12 = -5+12

3x = 7

Divide by 3

3x/3 = 7/3

x = 7/3

Answer:

x = 7/3

Step-by-step explanation:

3(x-4)=-5

3x -12= -5

3x = 7

x =7/3

Answer:

see below (I hope this helps!)

Step-by-step explanation:

We can split this into 2 cases:

3x + 2 > 9 or -(3x + 2) > 9

3x > 7 or 3x + 2 < -9

x > 7/3 or x < -11/3

Answer:

length=4 cm

Step-by-step explanation:

Area of rectangle= length * width

48=l*12

length=48/12

length=4 cm

Answer:

6750

Step-by-step explanation:

4 digit numbers are 1000,1001,1002,...,9999

let numbers=n

d=1001-1000=1

9999=1000+(n-1)1

9999-1000=n-1

8999+1=n

n=9000

now let us find the 4 digit numbers divisible by 4

4| 1000

______

| 250

4 |9999

  _____

  | 2499-3

9999-3=9996

so numbers are 1000,1004,1008,...,9996

a=1000

d=1004-1000=4

let N be number of terms

9996=1000+(N-1)4

9996-1000=(N-1)4

8996=(N-1)4

N-1=8996/4=2249

N=2249+1=2250

so number of 4 digit numbers not divisible by 4=9000-2250=6750

Answer:

.5 more kilometres.

Step-by-step explanation:

3600 m = 3.6 km. 4.1 is .5 greater than 3.6

Answer:

The correct option is;

False

Step-by-step explanation:

An imaginary number is also known as a imaginary part of a complex number is a real number that has a factor of √(-1)

Rational numbers are numbers that can be put in the form of the ratio of two integers (real numbers), forming a simple fraction such as 1/2, or 3/7

Irrational numbers are the subset of real numbers that cannot be expressed as a ratio of two numbers such as π, √2, Eulers number, e, the golden ratio, φ

Therefore, rational numbers and irrational numbers are real numbers not imaginary numbers.

Answer:

the third option

Step-by-step explanation:

as any number is greater than -2

Answer:

j = 29.7 inches

Step-by-step explanation:

The following data were obtained from the question:

m = 21 inches

k = 34 inches

Angle L = 60°

j =?

Using Cosine rule, the value of j can be obtained as follow:

j² = m² + k² – 2mk Cos J

j² = 21² + 34² – 2 × 21 × 34 × Cos 60°

j² = 441 + 1156 – 1428 × 0.5

j² = 1597 – 714

j² = 883

Take the square root of both side

j = √883

j = 29.7 inches

Therefore, the value of j is 29.7 inches.

Answer:

I hope this helps!

Answer D

Step-by-step explanation:

Step-by-step explanation:

salary per day =$140

bonus on sales =14%

sales on Saturday =$600

bonus on Saturday sales=14/100*$600

=$84

sales on Sunday =$1200

bonus on Sunday sales=14/100*$1200

=$168

total amount she earned over the two days=$140+$84+$168

=$532

Answer:

u should put his is English and then translate it to read it

Answer:

7/25 of a chance or a 28% chance as said in the questiom

Step-by-step explanation:

So, the question says it's a 28% chance or a 28/100 chance.

All you have to do is simplify the fraction or just still right 28% chance.  But for the fraction:

Divide the numerator and denominator by 2 to get 14/50.

Divide both by two again to simplify fully to 7/25

Answer:

3

Step-by-step explanation:

basically the largest number decided by 5 smaller than 438 is 435. so the answer is 3

Answer:

Any number divisible by 9 must have the sum of its digits divisible by 9. The sum of the digits of 456 is 15, so you need to subtract 6.

Answer:

Step-by-step explanation:

=-5 +4

= -1

put a dot on -1 and go from -5 to -1 and then from -1 to -5

Answer:

a = -8

Step-by-step explanation:

-5/2 a + 5 = 25

Subtract 5 from each side

-5/2 a + 5-5 = 25-5

-5/2 a = 20

Multiply each side by -2/5

-2/5 *-5/2 a = 20*-2/5

a = -8

Graphed in attached file and drawn!

Answer:

see attachment

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

3^3 = 3 x 3 x 3 = 27

Using proportions, it is found that Lennox gets 2.5 dollars per kilogram.

During each week:

Hence, the amount of kilograms delivered each week are:

[tex]A = 3(50)(12) = 1800[/tex]

He sells 4500 dollars each week(1800 kilograms), hence, the amount of dollars per kg is:

[tex]D = \frac{4500}{1800} = 2.5[/tex]

Lennox gets 2.5 dollars per kilogram.

To learn more about proportions, you can take a look at https://brainly.com/question/24372153

Answer:0.50

Step-by-step explanation:

Answer:

  $562.75

Step-by-step explanation:

The future value formula is good for this.

  FV = P(1 +r/n)^(nt)

where principal P is invested at annual rate r compounded n times per year for t years.

Using your numbers, we find the account value to be ...

  FV = $500(1 +.06/2)^(2·2) = $500·1.03^4 ≈ $562.75

There will be $562.75 in the account after 2 years.

Answer:

see below

Step-by-step explanation:

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

0= 10x - 32

32 = 10x

Divide by 10

3.2 = x

The x intercept

( 3.2,0)

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

y= 0 - 32

y = -32

( 0, -32)

Answer:

(0, -32)

(3.2, 0)

Step-by-step explanation:

The line is in slope intercept form. It is easy to identify the y-intercept.

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

The y-intercept is (0,-32). '-32' replaces the 'b' in the equation.

To find the x-intercept, set the value of 'y' to zero and solve for 'x'.

[tex]0=10x-32\\\\0 + 32 = 10x-32+32\\\\32=10x\\\\\frac{32}{10}=\frac{10x}{10}\\\\\frac{32}{10}=x\\\\\rightarrow \frac{32/2}{10/2}=\frac{16}{5}\\\\ \boxed{x=\frac{16}{5}}[/tex]

The x intercept is (16/5, 0).

This can also be expressed as (3.2, 0).

Hope this helps.

Answer:

  161.8 cm²

Step-by-step explanation:

The given formula works if you have both legs of the triangle. Using the given information, a better formula is ...

  A = (1/2)ab·sin(C) . . . . C is the angle between sides 'a' and 'b'

  A = (1/2)(27.6 cm)(30 cm)sin(23°) ≈ 161.8 cm²

Answer:

B on edg 2020

Step-by-step explanation:

Just took test

Answer:

The answer is

Step-by-step explanation:

To find the slope passing through two points we use the formula

Where

m is the slope

( x1 , y1) and ( x2 , y2) are the points

From the question the points are

(-8,-3) and (2, 3)

So the slope is

Hope this helps you

Answer:

21.4 m²

Step-by-step explanation:

To find the surface area of this whole triangular prism, we have to look at the bases (the triangles), find their surface area, then look at the sides (the rectangles) and find theirs.

Let's start with the triangles. The area of any triangle is [tex]\frac{bh}{2}[/tex]. The base of this triangle is 2m (because there are 2 one meters) and the height is 1.7m.

[tex]\frac{2\cdot1.7}{2} = \frac{3.4}{2} = 1.7[/tex]

So the area of one of these triangles is 1.7m. Multiplying this by two, because there are two triangles in this prism:

[tex]1.7\cdot2=3.4[/tex]

Now let's find the area of the sides.

The side lengths are 2 and 3, so

[tex]2\cdot3=6[/tex], and there are 3 sides (including the bottom/floor) so [tex]6\cdot3=18[/tex].

Now we add.

[tex]18+3.4=21.4[/tex] m².

Hope this helped!

Answer: 21.4 square meters^2

Step-by-step explanation:

Answer:

Felipe = 23 messages

Keisha = 31 messages

Manuel = 46 messages

Step-by-step explanation:

Keisha = K

Felipe = F

Manuel = M

=> There are a total of 100 messages.

=> K sent 8 +F => K = 8 + F

=> M sent 2 * F => M = 2F

=> F = F

=> 8 + F + 2F + F = 100

=> 8 + 4F = 100

=> 8 - 8 +4F = 100 -8

=> 4F = 92

=> 4F/4 = 92/4

=> F = 23

So, Felipe = 23 messages.

      Keisha = 8 + F = 8 + 23 = 31 messages.

      Manuel = 2F = 2* 23 = 46 messages.

46 + 31 + 23 = 77 + 23 = 100 messages.

So, the answer is correct.

Answer:

one

Step-by-step explanation:

Zero has one square root which is 0.

Negative numbers don't have real square roots since a square is either positive or 0.

Answer:

Step-by-step explanation:

A=a(r)^t

a=1

time=2.5 hours=25/10 ×60=150 minutes

10t=150

t=150/10=15

[tex]A=1(2)^{15}=32,768[/tex]

Answer:

x = -4

Step-by-step explanation:

-5x-10=10

Add 10 to each side

-5x-10+10=10+10

-5x = 20

Divide each side by -5

-5x/-5 = 20/-5

x = -4

Answer: x= -4

Step-by-step explanation:

[tex]-5x-10=10[/tex]

add 10 on both sides

[tex]-5x=20[/tex]

divide -5 on both sides

[tex]20/-5=-4[/tex]

[tex]x=-4[/tex]

Answer:

El ancho de la superficie = 444,44 my el largo = 200 m

La superficie de la superficie de la presa = 88888,89 m²

Step-by-step explanation:

Los parámetros dados son;

La altura del agua en la presa = 225 m

El volumen de agua en la presa, d = 20 millones de m³

La longitud de la base = 200 m

Sea el ancho de la presa = x

El volumen viene dado por la relación;

200 × 225 × x = 20 millones de m³

x = 20.000.000 / (200 × 225) = 444,44 m

Por tanto, las dimensiones de la superficie son ancho = 444,44 my largo = 200 m

El área de superficie de la superficie de la presa = 444.44 × 200 = 88888.89 m².

Answer:

B

Step-by-step explanation:

The rules for reflecting across the x axis are just multiply the y value by -1

your answer is the second answer choice

For y axis refection, it is the same but for the x value, not the y .

Answer:

co-ordinates are (-3,7) and (5,7)

or

(-3,-5) and (5,-5)

length of diagonal=10 units

Step-by-step explanation:

[tex]length=\sqrt{(5+3)^2+(1-1)^2} =\sqrt{64} =8\\slope ~of~length=\frac{1-1}{5+3} =0\\\\length ~of~rectangle~is~parallel~to~x-axis\\ width~ is~ parallel ~to~y- axis~and~is~6~units~away~from~length.\\other co-ordinates ~of~rectangle are~(-3,1+6)~and ~(5,1+6)~or~(-3,7)~and~(5,7)\\and~other~co-ordinates~are~(-3,1-6)~and~(5,1-6)~or~(-3,-5)~and~(5,-5)[/tex]

length of diagonal

d=\sqrt{8^2+6^2} =\sqrt{64+36} =\sqrt{100} =10 ~units\\or\\d=\sqrt{(5+3)^2+(1-7)^2} =\sqrt{64+36} =\sqrt{100} =10~units.

Answer:

3y²+y+8

=3(4)²+4+8

=3(16)+4+8

=48+4+8

=60