Angie takes a random sample of 100 students in her school and finds that 58% of the sample prefers art over music. There are 1,200 students in the school. Based on the sample proportion, how many students in the school would be expected to prefer art over music? (5 points)

A. 696
B. 1,200
C. 58
D. 100

Answer: [tex]3,9[/tex]

Step-by-step explanation:

Given

A gym owner has purple and white weights that measure 10 kg and 6 kg each

respectively.

They weigh 84 kg in total

suppose there x purple and y white weights

[tex]\therefore x+y=12\quad \ldots(i)\\\Rightarrow 10x+6y=84\quad \ldots(ii)\\\\\text{Solving }(i)\ \text{and }(ii)\\\\[/tex]

[tex]x=3,\ y=9[/tex]

Thus, there are 3 purple and 9 white weights.

Answer:

1.875 gallons

Step-by-step explanation:

Data

distance = 50 mi

volume of gas = 1 gal

volume for 150 km = ?

Process

1.- Convert 50 mi into kilometers

                        1 mile ------------------- 1.6 km

                         x        ------------------ 150 km

                         x = (150 x 1)/1.6

                         x = 93.75 mi

2.- Calculate the gallons wasted

                         1 gallon ----------------- 50 mi

                         x            ---------------- 93.75 mi

                         x = (93.75 x 1)/50

                         x = 93.75/50

                        x = 1.875 gallons

Answer:

1100 Inches Squared

Step-by-step explanation:

Let the triangle on the top right be - (i)

Let the triangle on the top left be - (ii)

Let the bottom rectangle be - (iii)

1) The base of the triangle (i) = 10 + (20/2) (It is the base of the rectangle halfed + the given amount of half base of the triangle)

=> 10 + 10

=> 20 in

Base = 20 in

Height = 30 in

Area = 1/2 * 20 * 30

=> 10 * 30

=> 300 in

Triangle (i) = (ii)

So, the area of triangle (ii)

=> 300 in

Area of rectangle,

Length * Breadth

=> 20 * 30

=> 500 in

Total arrow's area = 300 + 300 + 500 (i + ii + iii)

=> 1100

Therefore the total area of the shape = 1100 in squared.

Hope it helps :)

Answer:

Step-by-step explanation:

From the picture attached,

Addition of the blocks in first row is 60

a + a + a + 12 = 60

3a + 12 = 60

3a = 60 - 12

3a = 48

a = 16

For second row,

(b + 5) + (b + 5) + (b + 5) + (b + 5) = 60

4(b + 5) = 60

b + 5 = 15

b = 10

For third row,

(a + b) + c = (b + 5) + (b + 5) + (b + 5)

a + b + c = 3(b + 5)

16 + 10 + c = 3(10 + 5) [Since, a = 16 and b = 10}

26 + c = 45

c = 45 - 26

c = 19

For fourth row,

3c + d = 60

3(19) + d = 60

57 + d = 60

d = 60 - 57

d = 3

The total possible ways is 810, it means Evie can make total 810 different outfits.

Important information:

Number of ways to select a shirt = 9

Number of ways to select a pant = 5

Number of ways to select a belt = 3

Number of ways to select a pair of shoes = 6

The total number of different outfits is:

[tex]9\times 5\times 3\times 6=810[/tex]

Therefore, Evie can make total 810 different outfits.

Find out more about 'Combination' here:

https://brainly.com/question/16637684

Answer:

180 i think

hope it helped

Answer:

area = 118.04 units²

Step-by-step explanation:

area of circle = πr² = (3.14159)(8²) = 201.06 units²

area of triangle:

corner angle - 60°/2 = 30°

sin 30° = m/8, m = 4

height of triangle = 4 + 8 = 12

cos 30° = n/8, n = 6.93, n = 1/2 base

base of triangle = 13.86

area of triangle = 1/2bh = 1/2(13.86)(12) = 83.02 units²

area of shaded portion = 201.06 - 83.02 = 118.04 units²

Answer:

C 0.0361

Step-by-step explanation:

The probability that the color of the first car is silver and the color of the second car is also siver is 0.0361.

Given that,

Based on the above information, the calculation is as follows:

[tex]= 0.19\times 0.19[/tex]

= 0.0361

Learn more: brainly.com/question/17429689

Answer:

all I know is how to get y but y=122

Step-by-step explanation:

y=3(40)+2

y=120+2

y=122

sorry but I dont know what to do for x

Answer:

216

Step-by-step explanation:

The triangular prism given here is consisting of two triangles and three rectangles

So the area of the triangular prism = area of the two triangles and the area of the three rectangles

= Surface Area ₚᵣᵢₛₘ =[2 ×1/2×8×6] m²+[3×7×10]m²

= (48+210)m²

= 258m² (ans)

Answer:

B. 13

Step-by-step explanation:

3(4) + 1 = 13

Answer:

13

Step-by-step explanation:

3n=3x4=12

12+1=13

Answer:

72

Step-by-step explanation:

By using the fundamental counting principle, we can do 4 x 3 x 6 = 72 to find how many different sandwiches can be made.

Answer:

4. 33 = 33

5. 19 > 10

6. 1 = 1

7. 0.95 > 0.9

8. 39 > 38

9. 14 > 2

10. x = 4

11. m = 44

12. p = 3

13. [tex]z=\frac{15}{23}[/tex]

Answer:

b)   (d

Step-by-step explanation:

no words

Answer:5834.36 You're welcome

Answer:5834.36

Step-by-step explanation:

Answer:

(2, -6)

Step-by-step explanation:

Draw a picture woth a point at (-6, -2)

the rotate it.

Answer:

1 19/25

Step-by-step explanation:

4

5

+  

24

25

=  

4 × 5

5 × 5

+  

24

25

=  

20

25

+  

24

25

=  

20 + 24

25

=  

44

25

=  

1 19

25

[tex] \huge \frak \orange {question:-}[/tex]

The Great Pyramids of Khufu is located in El Giza, Egypt. Pyramids were built to serve as tombs for the pharaohs of ancient Egypt. The Great Pyramid is 481 feet high and has a square base with a base edge length of 756 feet. What is the approximate surface area (to the nearest hundredth) of the pyramid.

(HINT: Is the base on the surface?)

[tex] \huge \frak \red{solution:-}[/tex]

Square with edge length = 756 feet

Square= 1/2 × 297.45 × 481

= 286,146.9ft

= 1,037,709,9ft. base with edge length =756 feet

area of square,

= Side² = 756 × 756 = 571,563ft²

⇒ area of base = 1/2 = 756/2 = 378ft

By pythagorean theorem,

H² = P²+B²

(481)² = P²+(378)²

P² = (481)²-(378)²

P² = 231,361-142,884

P² = 88,477

P = √88,477

P = 297.45

Area of triangle =1/2 × b × h

= 1/2x297.45*481

= 148.725×481

= 71,536.725

Now area of 4 triangles = 4×71,536.725

= 286,146.9ft

total surface area of pyramid + square

= 751,563+286,146.

= 1,037,709,9ft.

[tex] \huge \frak \blue{answer:-}[/tex]

[tex] \boxed{1,037,709,9ft}[/tex]

Answer:

15 degrees

X is an Acute Angle

Step-by-step explanation:

x+ 75 = 90

x =15

Answer:

136 = 2³ x 17.

Step-by-step explanation: Factors of 136: 1, 2, 4, 8, 17, 34, 68, 136. Prime factorization: 136 = 2 x 2 x 2 x 17, which can also be written 136 = 2³ x 17.

Answer:

X=18

Step-by-step explanation:

since angles are supplementary that means their sum is 180

[tex]4x - 24 + 4(2x - 3) = 180 \\ 4x - 24 + 8x - 12 = 180 \\ 12x - 36 = 180 \\ 12x = 216 \\ x = 18[/tex]

Answer:

Step-by-step explanation:

A function f is continuous on its domain D if f is continuous at every point c∈D. Example 1. The function f(x)=ex (with domain R) is continuous on its domain.

Answer:

It's most likely spposed to be 22

Step-by-step explanation:

Answer: 91.65

Part 1: You will need to find the average by adding 108, 72, and 95. This will give you 275. Now you divide the sum by the amount of numbers there are which is 3 numbers. 275/3 would be 91.6

Part 2: Now that you have all four numbers you should repeat the process, 108 + 72 + 95 + 91.6 which is 366.6 now divide by four, and you have 91.65.

Let me know if this was correct!

Answer:

True

Step-by-step explanation:

Two triangles are congruent if they satisfy any of the following:

Two sides and the included angle of one triangle equal to the corresponding parts of the other one.

Two angles and the included side of one triangle equal to the corresponding parts of the other one.

All three sides of one triangle equal to the corresponding parts of the other one.

They are right triangles, and hypotenuse and one leg of one triangle equal to the corresponding parts of the other one.

They are right triangles, and hypotenuse and one acute angle of one triangle equal to the corresponding parts of the other one.

Therefore, the answer is true.

Nice Question

Reason:- According To Isosceles Triangle Theorem:-

Answer:

141°

Step-by-step explanation:

The sum of the internal angles can be calculated using the following formula:

(number of sides - 2) x 180°

This polygon has 7 sides, so (7 - 2) x 180° = 900° total internal angle.

Subtract the other given angles from 900°.

(900 - 131 - 122 - 125 - 148 - 107 - 126)° = 141°

Answer:

x equals 141°

Step-by-step explanation:

The sum of interior angles of this figure is 900°. This was found using the formula (n-2) x 180 where 'n' means number of sides. This figure has 7 sides. So the sum of interior angles would be:-

(7 - 2) x 180°

5 x 180°

= 900°

All the given angles + x gives 900°.

So, to find 'x' we can do the following:-

148° + 125° + 122° + 131° + x° + 126° + 107° = 900°

759 + x = 900

x = 900 - 759

x = 141°

Answer:

The answers to your questions are given below

Step-by-step explanation:

A. 3 × 9 = 27

B. 2 × 3 × 9 = 54

Next, we shall determine which option will give the same result obtained above.

9 × 3 = 27

9 × 3 × 2 = 54

3 × (4 + 5) = 3 × 9 = 27

(2 × 3) × 9 = 6 × 9 = 54

Therefore,

3 × 9 = 27

9 × 3 = 27

3 × (4 + 5) = 27

2 × 3 × 9 = 54

9 × 3 × 2 = 54

(2 × 3) × 9 = 54

SUMMARY

3 × 9 >>>>>>>>> 2 × 3 × 9

9 × 3 >>>>>>>>> 9 × 3 × 2

3 × (4 + 5) >>>>> (2 × 3) × 9

Answer:

(a) $62.92 saved in 25 weeks

(b) 41 weeks to save $100

Step-by-step explanation:

Given

[tex]y = 2.92 + 2.4x[/tex]

[tex]x \to weeks[/tex]

[tex]y \to savings[/tex]

Solving (a): Savings in 25 weeks.

This means that: x = 25

So:

[tex]y = 2.92 + 2.4x[/tex]

[tex]y = 2.92 + 2.4 * 25[/tex]

[tex]y = 2.92 + 60[/tex]

[tex]y = 62.92[/tex]

Solving (b): Whole weeks to save $100

This means that x = 100

So:

[tex]y = 2.92 + 2.4x[/tex]

[tex]100 = 2.92 + 2.4x[/tex]

Collect like terms

[tex]2.4x = 100 - 2.92[/tex]

[tex]2.4x = 97.08[/tex]

Solve for x

[tex]x = 97.08/2.4[/tex]

[tex]x = 40.45[/tex]

Round up

[tex]x = 41[/tex]

Answer:

216 cm²

Step-by-step explanation:

Applying,

V = lwh..................... Equation 1

Where V = volume of the cubiod, l = length of the base, width of the base, h = heigth of the cubiod.

From the question,

Since the base of the cubiod is squared,

Therefore,

w = l = 4 cm, V = 400 cm³

Substitute these values into equation 1

400 = 4×4×h

h = 400/(4×4)

h = 25 cm

A = lw+lh+wh.................. Equation 1

Where A = surface area of the cuboid.

Given: l = 4 cm. w = 4 cm, h = 25 cm

Substitute these values into equation 1

A = (4×4)+(4×25)+(4×25)

A = 16+100+100

A = 216 cm²