Brainliest will be given to the CORRECT answer.

Answer:

C. Divide by 3 and multiply by 2.

Step-by-step explanation:

To find 2/3 of a number, we multiply by 2 and divide by 3

2/3 * x

This is the same as dividing by 3 and multiplying by 2

Answer:

B and E

Step-by-step explanation:

2x²-7x+3=0

2x²-x-6x-3=0

x(2x-1)-3(2x-1)=0

(x-3)(2x-1)=0

x=3 or x=1/2

Answer:

x=7

Step-by-step explanation:

(3x+7)=4x

Subtract 3x from each side

(3x+7) -3x=4x-3x

7 = x

Answer:

50,000 thousands make a crore.

Step-by-step explanation:

One crore (1,00,00,000) is equal to one hundred lakh (10,000 × 1,000). Thus, 10,000 thousands make a crore.

Answer:

x = -3  ±sqrt(27)

Step-by-step explanation:

x^2 +6x = 18

Take the coefficient of x

6

Divide by 2

6/2 =3

Square it

3^2 = 9

Add this to each side

x^2 +6x+9 = 18+9

6/2 or 3 is what is inside the (x+   )^2 on the left

(x+3) ^2 = 27

Take the square root of each side

sqrt((x+3) ^2) = ±sqrt(27)

x+3 = ±sqrt(27)

Subtract 3 from each side

x+3-3 = -3  ±sqrt(27)

x = -3  ±sqrt(27)

Answer:

12

Step-by-step explanation:

Just substitute 60 for a and divide it by 5

Ta Da!!

Answer:

195 m3

Step-by-step explanation:

Answer:195 m^3

Step-by-step explanation:

volume of triangular prism=base area x height

height=h=5m

Base area=0.5 x 13 x 6

Base area=39

Volume of triangular prism=39 x 5

Volume of triangular prism=195m^3

Answer:

33.51

Step-by-step explanation:

Answer:46

Step-by-step explanation:

x/4 - 1/2(6-x)=7x+3(6-2x)-1

x/4 - (6-x)/2=7x+18-6x-1

(x-2(6-x))/2=7x+18-6x-1

(x-12+2x)/2=7x-6x+18-1

(x+2x-12)/2=7x-6x+18-1

(3x-12)/2=x+17

Cross multiply

3x-12=2(x+17)

3x-12=2x+34

Collect like terms

3x-2x=12+34

x=46

Answer:

the answer is -80

Step-by-step explanation:

Answer: I think that it is B

Step-by-step explanation:

Answer:

1. The circumference of the circular base of the conical hat is 52.36 inches

2. The surface area of the cone that needs to be covered is  262 in.²

Step-by-step explanation:

Here we have that the given parameters are;

Diameter, D of circular = 20 in. = 2 × radius R, of the circle

R = 10 in.

Cut out section of cut out sector of circle = 60°

Therefore, circumference of the circular base = π×D×(360 - 60)/360 which gives;

The circumference of the circular base of the conical hat = π×20×(30)/36 = π·50/3 = 52.36 in.

Therefore, the radius of the formed cone = π·50/3/(2·π) = 25/3 = [tex]8\tfrac{1}{3}[/tex] = 8.33 in.

The formed cone satisfies the equation;

R² = h² + r²

Where:

h = Height of the cone

r = radius of the cone

∴ 10² = h² + 8.33²

∴ h² = 10² - 8.33² = 30.56 in.

The lateral surface area of the cone = π×r×l where l = R, we therefore have;

The lateral surface area of the cone = π×8.33×10 = [tex]\pi \cdot 8\tfrac{1}{3}[/tex] = 261.8 in.² = 262 in.².

The surface area of the cone that needs to be covered = The lateral surface area of the cone = 262 in.².

Answer:

Step-by-step explanation:

d = 16 cm

r =16/2= 8 cm

Total surface area = 3πr² cubic units

= 3 * 3.14 * 8 * 8

= 602.88

= 603 cm²

Answer:

(x+1)(x+2)

Step-by-step explanation:

Answer:

(x-1)(x-2)

Explanation:

To factor x^2-3x+2 as (x+a)(x+b) we need to find number a and b such that a+b=-3 ab=2

Summary of above: (−1)+(−2)=−3

So the integers we are looking for are

−1 and −2

Therefore, x^2-3x+2=(x-1)(x-2)

Answer: C(x) = 2000+ 0.05 x

Step-by-step explanation:

Hi, to answer this question we simply have to apply the next formula:

Cost (C) = fixed cost + (cost per pencil x number of pencils)

Since:

Fixed cost: $2000

Cost per pencil : $0.05

Replacing with the values given:

C(x) = 2000+ 0.05 x

Where x is the number of pencils manufactured.

Feel free to ask for more if needed or if you did not understand something.

Answer:

B.

Step-by-step explanation:

Again taking proportionality between their any two sides as the two triangles as considered separate are similar

AB/AC=AD/AE

4/6=7/AE

cross Multiplying

4×AE =6×7

AE=42/4

AE=10.5

Answer:

12.8

12 1/2

12 2/5

12.09

Answer:

1 . There will be enough cup of punch to serve all 14 guest

2. There will be 2 cups of punch left.

Step-by-step explanation:

Mr  Hernandez combines 1 gallon of orange juice, 3 pint of pineapple juice and 2 quarts of lemon-lime soda to make punch for a party.

This combination makes up the punch.  We have to convert to cups to ascertain if the punch will be enough to serve 14 guest which are entitle to 2 cups of punch. The 14 guest will consume a total of 28 cups of punch .

1 gallon of  orange juice = 16 cups of orange juice

1 pint = 2 cups

3 pints of pineapple =  6 cups

1 quarts = 4 cups

2 quarts of lemon-lime soda = 8 cups

When you combine all the cups together, the total punch will be = 16 + 6 + 8 = 30  cups of punch.

The guest will consume a total of 14 × 2 = 28 cups of punch. There will  be 30 - 28 = 2 cups of punch left.

Answer:

Step-by-step explanation:

true true false

Answer:

[tex]z_{1}\cdot z_{2} = 2\cdot (\cos 90^{\circ} + i \cdot \sin 90^{\circ})[/tex]

Step-by-step explanation:

Both variable can be rewritten into polar form:

[tex]z_{1} = 3\cdot e^{i\cdot 0.205\pi}[/tex] and [tex]z_{2} = \frac{2}{3}\cdot e^{i\cdot 0.294\pi}[/tex]

The complex product is equal to:

[tex]z_{1}\cdot z_{2} = (3)\cdot \left(\frac{2}{3}) \cdot e^{i\cdot (0.205\pi+0.294\pi)}[/tex]

[tex]z_{1}\cdot z_{2} = 2 \cdot e^{i\cdot 0.499\pi}}[/tex]

The resultant expression in rectangular form is:

[tex]z_{1}\cdot z_{2} = 2\cdot (\cos 90^{\circ} + i \cdot \sin 90^{\circ})[/tex]

Answer:

The correct question is:

Find [tex]z_{1}.z_{2}[/tex] if [tex]z_{1}= 3(cos37 + isin37)[/tex] and [tex]z_{2}= \frac{2}{3} (cos53 + isin53)[/tex].

(Note: the angles mentioned in the equations above are in degrees)

The answer is [tex]z_{1}.z_{2}= 2i[/tex]

Step-by-step explanation:

[tex]z_{1}.z_{2}= 3(cos37 + isin37)* \frac{2}{3} (cos53 + isin53)[/tex]

[tex]z_{1}.z_{2}= (3cos37 + 3isin37)* (\frac{2}{3} cos53 + \frac{2}{3}isin53)[/tex]

[tex]z_{1}.z_{2}= 3cos37*\frac{2}{3} cos53 + 3cos37*\frac{2}{3}isin53+3isin37*\frac{2}{3} cos53+3isin37*\frac{2}{3}isin53[/tex]

[tex]z_{1}.z_{2}= 0.961+1.275i+0.724i-0.961[/tex] (Because [tex]i*i=i^{2}=-1[/tex] & [tex]i=\sqrt{-1}[/tex])

[tex]z_{1}.z_{2}= 0.961+1.275i+0.724i-0.961[/tex]

[tex]z_{1}.z_{2}= 2i[/tex]

Answer:

A

Step-by-step explanation:

Answer:

8m(4 + 7p)

Step-by-step explanation:

Take out the greatest common factor:

8m(4 + 7p)

Answer:more people will be living in Africa than in Asia sometime around 2120

Step-by-step explanation:

Answer:

More people will be living in Africa than in Asia sometime around 2120.

Step-by-step explanation:

Answer:

It would be 2 x the absolute value of the y coordinate.

Step-by-step explanation:

Example:

(5,-3)

Absolute value of y-coordinate is 3 and distance would equal 2 x 3 = 6 units apart.

Answer:

3

Step-by-step explanation:

This is written in the form

y= mx+b

where m is the slope and b is the y intercept

3 is the slope and -4 is the y intercept

Answer:

A: (-5,2)

Step-by-step explanation:

algebraically, a 180 rotation about the origin switches the original coordinates of (x,y) to (-x,-y), so the answer would be (-5,2) after plugging the numbers into this formula

Answer:

Pierre is right.

Step-by-step explanation:

A growth rate of 2% means that the values is increasing by 0.02 each year so the multiplying factor is 1.02.

Pierre is correct y = 300(1.02)^x.

Scotts  answer 1.2 = a growth rate of 20%.

Answer:

  C. correct, but can be further simplified

Step-by-step explanation:

Elliot's work is correct, but he apparently failed to recognize that 64 = 8². The radical could be simplified to ...

  √64 = 8

Answer:

c

Step-by-step explanation:

got it right

Answer:

The value of the first quartile is 13.

Step-by-step explanation:

0    0 0 5 8

1     2 3 5 8 8 9

2    2 4 6 7 7 7

3    3 5 6

4    2 4 6

5    7

Its median is greater than its mode.

median is 12th data point = 24  mode = 27  false

It has a range of 52 pages.  

range is largest minus smallest = 57-0 = 57  false

The value of the first quartile is 13.

There are 11 data points 11/2 = 5.5 = 1st quartile is 6th data point = 13

The data is symmetric.

it is not symmetric

Answer:

C) The value of the first quartile is 13.

Step-by-step explanation:

Answer:

24/36 = 12 x 2/12 x 3 = 2/3.

Step-by-step explanation: