In a school of 900 pupils, 30% are boys and 40% of the boys wear glasses.
How many boys wear glasses?​

Answer:

f(-3) = -26

Step-by-step explanation:

To find the answer plug -3 in for every x in the equation. Like this:

[tex]-2(-3)^{2} +5(-3)+7[/tex]

Now, simplify:

-2(9) - 15 + 7                 Square -3.

-18 - 15 + 7                    Multiply -2 by 9.

-26                                Simplify.

So, f(-3) = -26.

Hope this helps! If you have any questions feel free to leave them in the comments!

Answer:

Step-by-step explanation:

f(-3)= -2(-3)^2 + 5(-3) + 7

         -2(9) - 15 + 7

         -18 - 15 + 7

          -33 + 7 = -26

The expression 163.28 + 75.459 is a sum expression, and the result of 163.28 + 75.459 is 238.739

The expression is given as:

163.28 + 75.459

The expression is best solved using a calculator.

However, in the absence of a calculator, the following steps can be applied.

Expand each term

163.28 + 75.459 = 163 + 0.28 + 75 + 0.459

Reorder the terms

163.28 + 75.459 = 163 + 75+ 0.28  + 0.459

Add the decimals and integers

163.28 + 75.459 = 238.739

Hence, the result of 163.28 + 75.459 is 238.739

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Answer:

38.6598 ° or 38.66 °

Step-by-step explanation:

Sides:

a = 4 cm

b = 6.40312 cm

c = 5 cm

Angles:

A = 38.6598 °

B = 90 °

C = 51.3402 °

Other:

P = 15.4031 cm

s = 7.70156 cm

K = 10 cm2

r = 1.29844 cm

R = 3.20156 cm

Agenda:

A = angle A

B = angle B

C = angle C

a = side a

b = side b

c = side c

P = perimeter

s = semi-perimeter

K = area

r = radius of inscribed circle

R = radius of circumscribed circle

Answer:

g(f(x)) = 9x² + 15x + 4

Step-by-step explanation:

Given :

⇒ f(x) = 3x + 4

⇒ g(x) = x² - 3x

=============================================================

Solving :

⇒ g(f(x))

⇒ g(3x + 4) = (3x + 4)² - 3(3x + 4)

⇒ g(3x + 4) = (3x)² + 2(3x)(4) + (4)² - 9x - 12

⇒ g(3x + 4) = 9x² + 24x + 16 - 9x - 12

⇒ g(f(x)) = 9x² + 15x + 4

Answer:

(2,-2), (4,-2), (1,-4), (6,-4)

Answer:

first you have to order the numbers

8, 10, 13, 18, 23, 25, 26, 30

Median is between 18 and 23 so we add them then divide the sum by 2

Median: (18 + 23)/2 = 20.5

First Quartile is between 10 and 13 so we add them then divide the sum by 2

First Quartile: (10 + 13)/2 = 11.5

Third Quartile is between 25 and 26 so we add them then divide the sum by 2

Third quartile: (25 + 26)/2 = 25.5

Range: 30 - 8 = 22

Sorry I don't know how to draw a diagram on brainly

Answer:

-0.5.

Step-by-step explanation:

2pi - 11pi/6 = pi/6

so the angle is in the fourth quadrant  where the sine is negative.

pi/6 = 30 degrees and we know form the 30-60-90 triangle that sin 30 = 0.5,

therefore sin pi/6 = 0.5

and sin 11pi/6 = -0.5

The exact value of sin(11π/6) radians is -1/2 by using unit circle

To find the exact value of sin(11π/6) radians, we can use the unit circle and trigonometric identities.

The angle 11π/6 radians is in the third quadrant of the unit circle.

In the third quadrant, the sine function is negative.

We can find the reference angle by subtracting 2π (or 12π/6) from the given angle:

11π/6 - 12π/6 = -π/6

The reference angle is -π/6 radians.

In the unit circle, the coordinates for the angle -π/6 are (√3/2, -1/2). The y-coordinate represents the value of sine.

Therefore, the exact value of sin(11π/6) radians is -1/2.

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Answer:

D. The person who tells the story

Step-by-step explanation:

The narrator is the person telling the story, or the voice that an author takes on to tell a story.

The person who reads the story is simply a reader. They aren't narrating.
Someone who says all of the dialouge isn't a narrator either, because only saying the dialouge excludes the rest of the story. It's not telling the story.
The person who writes the story is the author, not the narrator.

Therefore, option D makes the most sense.

hope this helps!

Answer:

4,0), (-2,5), (8,-1), (5, 2)}

Answer: paralell

Step-by-step explanation: addion

Answer:

a) neither because both of the lines dont have the same slope. there isnt a line is equal to x= (some value)

1-3/1--1= -1

2--3/2-1= 5

b) parallel

8-2/-4--6= 3

2--4/2-0= 3

Answer:

1 and 125, 5 and 25

Step-by-step explanation:

Any two numbers that multiply to 125 could be considered as the length and width. Because the formula is: A=wl.

Answer:

Step-by-step explanation:

Congruent by SSS  ( three sides are equal in length).

Answer:

10) 5.34

11) 2 pack tooth pastes are more expensive

12) Neil

13) 300cm

14) 15cm

15) 448cm

16) 17cm = 170mm

5km = 5000m

17) 20cm = 200mm

Step-by-step explanation:

put as brainliest please

I already put explanation in answer

Answer:

10. $6.28

11. You can see that the 2-pack of toothpaste is more expensive.

12. Neil had more hair cut off, 2.53 > 2.35.

13. 300 centimeters.

14. The ceiling in the hall is 15 centimeters taller than the one in the classroom.

15. 112 centimeters.

16. 5 meters = 500 millimeters

     5 kilometers = 5,000 meters

     17 centimeters = 170 millimeters

17. 5 meters = 5,000 millimeters

     20 centimeters = 200 millimeters

Step-by-step explanation:

10. 2.88 + 2.88 + 0.52 = 6.28

11. Already explained

12. Already explained

13. 1 meter is 100 times a centimeter.

14. 1 meter is 100 times a centimeter.

15. Half of 56 is 28. 4 times 28 is 112.

16. 1 meter is 1000 times a millimeter, 1 kilometer is 1000 times a meter, and 1 centimeter is 10 times a millimeter.

17. 1 centimeter is 10 times a millimeter, and 1 meter is 1000 times a millimeter.

Answer:

∠b=82°

Step-by-step explanation:

143°=∠c+∠b (exterior angle property)

143°=61°+∠b

∠b=143-61

∠b=82°

The percentage of the runner from team B that finishes the race is 21.4%

How to find the percentage that finish the race from team B?

Team A and Team ran a race. Team A had 28 runners and Team B also had 28 runners.

4 runners from team A finishes the race while 12 runners from team B finishes the race.

Therefore, the percentage from team B that finishes the race can be calculated as follows.

percentage from team B that finishes = 12 / 56 × 100

percentage from team B that finishes = 1200 / 56

percentage from team B that finishes = 21.4285714286

percentage from team B that finishes = 21.4%

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Answer:

C. 5 units

Step-by-step explanation:

Answer:Point form is (-2,3)

Equation form is x=-2y=3

Step-by-step explanation:

Check the picture below.

Answer:

52

Step-by-step explanation:

180-128

Answer:

the answer is 28 degrees

Step-by-step explanation:

all you do is subtract 180-128 since this is a supplementary angle and not a complimentary one.

Answer:

50.24

Step-by-step explanation:

Area = 200.96

Let's find the raidus from the area formula.

200.96 =  π · r^2

Divide both sides by  π !

64 = r^2

square root both sides

r = 8.

Now since we know the raidus we can find the circumferewnce.

-

c=2πr

c=2*3.14*8

c= 50.24

Answer:

  A. 14040 cubic inches

  B. 61 gallons

Step-by-step explanation:

The volume of a cuboid is given by the formula ...

  V = LWH

__

One yard is 36 inches, so 1 yard 3 inches is 36 +3 = 39 inches.

One foot is 12 inches, so 1.5 ft = 1.5×12 = 18 inches.

The volume of the fish tank is ...

  V = (39 in)(18 in)(20 in) = 14,040 in³

The volume is 14,040 cubic inches.

__

One gallon is 16 cups, so 976 cups is 976/16 = 61 gallons.

976 cups equals 61 gallons.

_____

Additional comment

One gallon is 231 cubic inches, so the volume of the tank is actually about 972 cups, or 60.8 gallons.

The radius of a cylindrical gift box is ​(3x+2​) inches. The height of the gift box is twice the radius. The surface area of the​ cylinder is 54πx² + 84πx + 32π square inches.

The surface area of a cylinder is given as:

2πr(r + h)

The radius of a cylindrical gift box is ​(3x+2​) inches. The height of the gift box is twice the radius.

We need to find the surface area of the​ cylinder.

The radius of a cylindrical gift box is ​(3x+2​) inches.

The height of the gift box is twice the radius = 2(3x + 2) inches

= 6x + 4 inches

The surface area of the cylinder is:

= 2 × π × (3x + 2)( 3x + 2 + 6x + 4) square inches

= 2 × π × (3x + 2)(9x + 8) square inches

= 6πx + 4π( 9x + 8) square inches

= 6πx (9x + 8) + 4π( 9x + 8) square inches

= 54πx² + 48πx + 36πx + 32π square inches

= 54πx² + 84πx + 32π square inches

Hence, The surface area of the​ cylinder is 54πx² + 84πx + 32π square inches.

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Answer:

4 and -1

Step-by-step explanation:

Let :

Equations formed :

Subtract : Equation 1 - Equation 2

The numbers are : 4 and -1

Answer:

The answer is D.  quadrilaterals

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Imagine a triangle with two of the corner points being the points (5,5) and (8,1)

The length and width would be 3 and 4 to find the hypotenuse (distance) do

3^2+4^2=x^2

9+16=x^2

25=x^2

x=5

[tex]here \: is \: your \: answer...[/tex]

Step-by-step explanation:

Let (x1,y1) = (5,5) and (x2,y2) = (8,1)

By using distance formula,

[tex]d \: = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]

[tex]d = \sqrt{ {(8 - 5)}^{2} + {(1 - 5)}^{2} } [/tex]

[tex]d = \sqrt{ {(3)}^{2} + {( - 4)}^{2} } [/tex]

[tex]d = \sqrt{9 + 16} [/tex]

[tex]d = \sqrt{25} [/tex]

[tex]d = 5 \: units[/tex]

Therefore, the distance between (5,5) and (8,1) is 5 units

Answer:

C is 6.3

Step-by-step explanation:

We can apply the pythagorean theorum to find C.

A is 2, B is 6

A^2 + B^2 = C^2

2^2 + 6^2 = C^2

C^2 = 40

C = 6.32455532

Answer:

x=10

y=[tex]10\sqrt{3}[/tex]

Step-by-step explanation:

Since there is a 30 degree angle, it is a special right triangle, 30 60 90 triangle. The shorter leg represents "a," the longer leg represents "a√3", and the hypotenuse represents 2a.

The triangle has a hypotenuse of 20 and we are trying to find x and y. x=10 because x is the opposite side of 30 degrees and x is half of the hypotenuse. y=[tex]10\sqrt{3}[/tex] because we already know the x value and y is opposite of 60 degrees. As mentioned before, the longer leg represents a√3.

Hope this helps and have a good day.  

Answer:

-12

Step-by-step explanation:

Answer:

let the unknown number be 'x'

x + (-12) = -24

x = -24+12

x = -12

Answer:

[tex]10x^{3}+x^{2} -1[/tex]

Step-by-step explanation:

Standard form means firstly you will combine like terms (which the problem has already done) and then rewrite the polynomial from greatest power to least power.

We have three separate parts to this polynomial:

The part that has the greatest power is [tex]10x^{3}[/tex]. This is because the x is multiplied by a power of 3, which is the largest power given. Next up would be [tex]x^{2}[/tex]. Finally, -1 would come last.

Thus, the rewritten equation should look like this:

[tex]10x^{3}+x^{2} -1[/tex]

I hope this helps! If you have any questions about my work feel free to ask down in the comments!

Answer:

1.65

Step-by-step explanation:

equation will be 12(f−0.55)=13.20

12f−6.6=13.20

12f = 19.8

f = 19.8/12 = 1.65

So, each can of soup at full price is $1.65.