In a class of 50 students, 40 students offered Physics and 30 offered Biology. How many offered both Physics and Biology?

Answer:

Can you picture the question?

Answer:

Step-by-step explanation:

Answer:

The number is 20

Step-by-step explanation:

( x / 5 ) - 7 = -3

           +7    +7

————————

( x / 5)        = 4

     *5          *5

————————

x =               20

To Check;

20 / 5 = 4

4 - 7 = -3

Hope this helps!

Answer:

12

Step-by-step explanation:

Distance from (-4,1)to (-1,1) =|-4|-|-1|=3

Side of square =3

Since each side of square is equal.

3x4=12

If vertices A (-1,1) and vertices B (-4,1) of Square ABCD then  perimeter of the square ABCD is 12 units.

The length along a line or line segment between two points on the line or line segment.

The distance between A and B is 3 units, so the distance between B and C must also be 3 units since the square has equal sides.

The coordinates of C are (-4, -2) since it is directly below B.

The distance between C and D is 5 units since it is a horizontal line between the x-coordinates of C and D.

The coordinates of D are (-1, -2) since it is directly to the right of C.

Now we have the coordinates of all four vertices

A (-1,1), B (-4,1), C (-4,-2), and D (-1,-2).

To find the perimeter, we add up the lengths of all four sides:

AB = BC = CD = AD

= √[(xB - xA)² + (yB - yA)²]

= √[(-4 - (-1))² + (1 - 1)²]

= 3

So the perimeter is P = AB + BC + CD + AD

= 3 + 3 + 5 + 3

= 14

Therefore, the perimeter of the square ABCD is 12 units.

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Answer:

25 miles per hour

Step-by-step explanation:

Given

[tex]W = Wind\ resistance[/tex]

[tex]A = Surface\ Area[/tex]

[tex]V = Velocity[/tex]

The joint variation can be represented as:

[tex]W\ \alpha\ A*V[/tex]

Where:

[tex]V = 55; A = 20; W = 220[/tex]

Required

Find V,  when: [tex]A = 55; W = 275[/tex]

We have:

[tex]W\ \alpha\ A*V[/tex]

Express as an equation

[tex]W= k *A*V[/tex]

Where k is the constant of variation

Make k the subject

[tex]k = \frac{W}{A*V}[/tex]

When: [tex]V = 55; A = 20; W = 220[/tex]

We have:

[tex]k = \frac{220}{20 *55 }[/tex]

[tex]k = \frac{220}{1100}[/tex]

[tex]k = 0.2[/tex]

When: [tex]A = 55; W = 275[/tex]

We have:

[tex]k = \frac{W}{A*V}[/tex]

Substitute: [tex]A = 55; W = 275[/tex] and [tex]k = 0.2[/tex]

[tex]0.2 = \frac{275}{55 * V}[/tex]

Make V the subject

[tex]V= \frac{275}{55 * 0.2}[/tex]

[tex]V= \frac{275}{11}[/tex]

[tex]V= 25[/tex]

Answer:

7) 24 8) 75 9) .9

Step-by-step explanation:

You multiply the denominatior with the whole number.

Answer:

x = 24   b = 75   s = 0.9

Step-by-step explanation:

7. Multiply both sides by 2 and you get x = 24

8. Multiply both sides by 5 and you get b = 75

9. Multiply both sides by 0.3 and you get s = 0.9

Answer:

Cos Y = 12/13

Step-by-step explanation:

Recall, SOHCAHTOA.

Cos Y = Adjacent/Hypotenuse

Reference angle = Y

Adjacent = 12

Hypotenuse = 13

Therefore:

Cos Y = 12/13

Answer:

(3,3)

Step-by-step explanation:

Answer:

V≈33238.05

Step-by-step explanation:

The circumference of the cylinder base is

= ( 2 )*(pi)*( r ) cm where r = radius of the circular base.

That is ( 2 )(pi)( r ) = ( 44 )cm or

( radius ) = [ (44/((2)(pi)) ] = ( 7.0064 )cm.

I have approximated ( pi ) as ( 3.14 ) for this calculation.

The area of the cylindrical base is ( pi )*( radius )^2

Therefore area of the base

= ( 3.14 )*( 7.0064 )^2 =( 154.1415 )cm squared.

Volume of Cylinder

Volume = Atea of the base multiplied by cylinder height or

= ( 154.1415 ) * ( 7 )

= ( 1079.0 ) cubic centimeters approximately with some slight loss inaccuracy due to rounding of pi.

Lateral Surface Area

The lateral surface area = circumference of the cylindrical base multiplied by the height of the cylinder.

= ( 44 )*( 7 ) = ( 308 ) cm squared

Inherent Assumption

It is assumed that the thickness of the cylinder material is small and the cylinder doesn't overlap the area of the base. If it did, the lateral surface area calculated here might be understated slightly.

Answer:

A. 8π / 3

Step-by-step explanation:

Answer:

24.5x = 30

      x = 30/ 24.5

         = 1.22448979592

hope this answer helps you.....

Answer:

x= 30/24.5=1.22448

Step-by-step explanation:

we have :

2.24x=30 ---------------->> 224x/2.24=30/2.224 ------------->> x= 30/24.5=1.22448

Answer:

32z-14

Step-by-step explanation:

2(9z-8)+2(7z+1)

18z-16+14z+2

simplify

32z-14

Answer:

775.64

Step-by-step explanation:

Answer:

Shortest Path : A-C, C-Z

Shortest possible time = 143

Step-by-step explanation:

P.S - The exact question is -

Given -

T1 = 38

T2 = 52

T3 = 63

T4 = 67

T5 = 91

T6 = 62

T7 = 64

To find - What is the shortest path and what is the shortest possible time to travel from A to Z ?

Proof -

Choices for shortest path is -

Choice 1 : A-B, B-E, E-Z ;

Choice 2 : A-C, C-Z ;

Choice 3 : A-B, B-D, D-Z

Now,

For Choice 1 : A-B, B-E, E-Z

Distance between A-B = T1 = 38

Distance between B-E = T4 = 67

Distance between E-Z = T7 = 64

So,

The distance = 38 + 67 + 64 = 169

Now,

For Choice 2 : A-C, C-Z

Distance between A-C = T2 = 52

Distance between C-Z = T5 = 91

So,

The distance = 52 + 91 = 143

Now,

For Choice 3 : A-B, B-D, D-Z

Distance between A-B = T1 = 38

Distance between B-D = T3 = 63

Distance between D-Z = T6 = 62

So,

The distance = 38 + 63 + 62 = 163

∴ By comparing we get

Shortest Path = A-C, C-Z

Shortest possible time = 143

The shortest path is A→C→Z and the shortest possible time is 143 units option second is correct.

It is given that the traveler is trying to determine the fastest way to travel from city A to city Z.

It is required to find the shortest path and the shortest possible time to travel from A to Z.

It is defined as the path in which all the sum of the path will be shortest in a weighted diagram known as the shortest path.

We have the time required to travel from A to B is T1 = 38 units

Similarly, for the path A to C is T2= 52 units

For the path B to D is T3= 63 units

For the path B to E is T4 = 67 units

For the path C to Z is T5 = 91 units

For the path D to Z is T6 = 62 units

For the path E to Z is T7 = 64 units

For the path A→B→E→Z

The total time required = T1+T4+T7

                                       = 38+67+64 ⇒169 units.

For the path A→C→Z

The total time required = T2+T5

                                       = 52+91 ⇒143 units.

For the path A→B→D→Z

The total time required = T1+T3+T6

                                       = 38+63+62 ⇒ 163 units.

Thus, the shortest path is A→C→Z and the shortest possible time is 143 units option seconds is correct.

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Answer:

The constant of proportionality of the equation is 1.5.

Step-by-step explanation:

Equation of proportional measures:

Suppose that y and x are proportional measures. This situation can be equatialized is:

y = ax

In which a is the constant of proportionality.

y = 1.5x. What is the constant of proportionality of the equation?

a = 1.5, so the constant of proportionality of the equation is 1.5.

Answer:

9/17

Step-by-step explanation:

there are 17 marbles in total 9 of them are blue therefore, 9/17 is the correct answer

Answer:

8. X=108.

9. X= 14.

Step-by-step explanation:

Hope it was helpful ;)

Answer:

[tex]12.3[/tex]

Step-by-step explanation:

[tex]\bar{x}=\frac{6+17+15+11+10+9+18}{7}=12.3[/tex]

multiplying each number by 8

Answer: n=m divided by 8

Step-by-step explanation:

Answer:

5/8

Step-by-step explanation:

there are 8 slices.

if he and his friends eat 5 pieces, they ate 5 out of 8 pieces.

in maths, we write 5 out of 8 like 5/8

hope this helped, any questions - just ask

good luck,

-cheesetoasty

Answer:  

Scale distance on map representation = 2.4 cm

Step-by-step explanation:

Given:

Scale factor [6 cm - 15 Km]

Actual distance = 6 km

Find:

Scale distance on map representation

Computation:

Scale distance on map representation = Actual distance[6cm / 15km]

Scale distance on map representation = 6km [6cm / 15km]

Scale distance on map representation = 36 / 15

Scale distance on map representation = 2.4 cm

Answer:

x=74

Step-by-step explanation:

Solve big triangle first 33+45= 78

78+28= 106

Answer:

part b is 32

Step-by-step explanation:

Answer:

51ft^2

Step-by-step explanation:

Given data

Side of square patio= 9ft

Area= 9*9= 81 ft^2

New length = 9+3= 12ft

New Widht = 9+2= 11ft

New Area= 12*11

New Area= 132ft^2

Hence the area added is

=132-81

=51ft^2

The 51 square feet area will be added to the patio if the length is increased by 3 feet and the width is by increased  2 feet, Option fourth is correct.

It is given that steve has a square patio with a side length of 9 feet he plans to enlarge it to a rectangular patio by increasing the length by 3 feet and the width by 2 feet.

It is required to find how many square feet in the area will be added.

In mathematics, the area is the space occupied by the 2-dimensional figure or surface.

We know the formula for finding the area of square 'A'

[tex]\rm A= a^{2}[/tex]  where a is the length of the side.

We have a = 9 feet

[tex]\rm A= 9^2\\\rm A= 81 \ Feet^2[/tex]

Increasing the length by 3 feet and the width by 2 feet respectively, wet get:

L =  9+3  ⇒ 12 Feet

W = 9+2 ⇒ 11 Feet, Where L is the length and W is the width of the rectangle.

Area of rectangle = L×W

Area of rectangle = 12×11

Area of rectangle = 132 [tex]\rm Feet^2[/tex]

The area which will be added = (Area of rectangle) - (area of square)

The area which will be added = (132) - (81)

The area which will be added = 51 [tex]\rm Feet^2[/tex]

Thus, the 51 square feet area will be added to the patio.

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Answer:

One Way: 79 + 62H + 15H = X

Second Way: 79 + ((62 + 15) x H) = X

Step-by-step explanation:

Given that a plumber charges a customer a one-time service fee of $ 79, $ 62 per hour for labor, and a surcharge of $ 15 per hour due to the call being an emergency, to write an expression to represent the total charges for the plumber in two different ways, with H representing the number of hours the job takes, the following equations should be formulated:

79 + 62H + 15H = X

So, for example, if the job had lasted 2 hours, the equation would apply as follows:

79 + 62x2 + 15x2 = X

79 + 124 + 30 = X

233 = X

79 + ((62 + 15) x H) = X

In the case, if the work had lasted 1 hour, the equation would apply as follows:

79 + (62 + 15) x 1) = X

79 + 77 x 1 = X

79 + 77 = X

156 = X

The total charge when there is an emergency is $79 + $77h. The total charge when there is no emergency is $79 + $62h.

There are two ways of representing the total charges of the plumber,one when there is an emergency call and two when there is no emergency call. The total charge a function of the one-time service fee, labor charge and the surcharge.

Total charge when there is an emergency = one-time service fee + labor charge per hour + surcharge per hour

$79 + $62h + $15h

= $79 + $77h

Total charge when there is no emergency = one-time service fee + labor charge per hour

$79 + $62h

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Answer:

No that would be a 90 degree

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

119.32/3.14 since 3.14 is pi and c=pi*d

Answer:

d≈37.98

Step-by-step explanation:

C=2πr

d=2r

Solving for d

d=C

π=119.32

π≈37.98074