10% of the tickets sold at a school carnival were early-admission tickets. If the school sold 20 early-admission tickets, how many tickets total were sold? options: The school sold 2 tickets total. The school sold 30 tickets total. The school sold 120 tickets total. The school sold 200 tickets total.

Answer:

Option C.

Step-by-step explanation:

We know that for two vectors:

A = 〈a₁, a₂, a₃ 〉and  B =〈b₁, b₂, b₃〉.

The dot product between A and B is:

A.B = IAI*IBI*cos(θ)

Where θ is the angle between the vectors.

And the dot product can be also written as:

A.B = a₁*b₁ + a₂*b₂ + a₃*b₃

With that, we can find the angle between our vectors.

In this case, the vectors are:

A = 〈6, –3, 1〉 and B = 〈8, 9, –11〉

The modules are:

IAI = √( 6^2 + (-3)^2 + 1^2) = 6.78

IBI = √( 8^2 + 9^2 + (-11)^2) = 16.31

And the dot product between A and B is:

A.B = 6*8 + (-3)*9 + 1*(-11) = 10

Then we have that:

10 = IAI*IBI*cos(θ) = ( 6.78)*(16.31)*cos(θ)

10/(6.78*16.31) = cos(θ)

Now remember the inverse cosine function, Acos(x), this function has the property:

Acos(cos(x)) = x

If we apply this to both sides, we get:

Acos(10/(6.78*16.31)) = Acos(cos(θ)) = θ = 84.8°

The correct option is C.

Answer: 224 feet

Step-by-step explanation:

Each curtain is 48 inches long, and she wants to make 56 curtains.

However, the fabric store sells by the foot.

There are two ways to do this:

1) You can convert beforehand.

48 inches= 4 feet because 1 inch=1/2 foot.

Multiply 48 by 1/12 to find how many feet are in 48 inches.

= 48/12

=4

So 48 inches= 4 feet

Now, each curtain is 4 feet. There are 56 curtains to be made.

Now multiply by 4 to find how many feet are in 56 curtains.

56x4=224 feet.

Answer= 224 ft

Or: You can convert afterwards

48x56= how many inches in 56 curtains

= 2,688 inches

Then, convert to feet!

1 inch= 1/12 foot

2688 multiplied by 1/12:

=2688/12

=224 feet

Answer= 224 feet

Either way, you both get 224 feet.

Answer:

21/60 (simplified = 7/20)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Mathematically , for us to have a function, no 2 y values must have a single x value

Although, 2 x-values can have a single y value

The y values called the output values are listed on the right

The x values called the input values are listed on the left

So out of the options, with the given definition above, the one that represents a function is the option D

Answer:

The volume of the solid figure = Volume of the first cuboid + Volume of the second cuboid

The volume of the solid figure = 15×5×5 + 5×5×10

Or, The volume of the solid figure = 375 + 250

Or, The volume of the solid figure = 625 inch³

Therefore, the volume of the solid figure = 625 inch³

Step-by-step explanation:

If this help pls subscribe to amiredagoat Yt

Answer:

(1/3)(9*9*10)=270cm^3 pyramid volume

270/(4*4*4)=4.22cubes

round

5 wax cubes

Answer:

AFB + BAF and CED + CDE

Step-by-step explanation:

complementary angles are two angles that add up to 90°

62 and 28 add up to 90

50 and 40 add up to 90

Answer:

9 and 2: 1

10 and 4: 2

Step-by-step explanation:

9: 1, 3, 9

2: 1, 2

Answer: 1

10: 1, 2, 5, 10

4: 1, 2, 4

Answer: 2

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

They would be 3x more likely to choose football over tennis, since tennis is 13 and football is 39

39/3=13

Final answer is C

Answer:

-9n - 3

Step-by-step explanation:

Answer: segment

Step-by-step explanation:

Answer:

B. Segment

Step-by-step explanation:

Answer: b

Step-by-step explanation:

Answer:

the rate of interest is 11.7453%

Step-by-step explanation:

Given that

The present value is € 45,000

The Future value is €52,500

Time period 1 year, 4 months and 20 days i.e. 1.38809 years

We need to find out the interest rate

Here we apply the RATE formula in the spreadsheet

The formula is

= RATE(NPER;PMT;-PV;FV;TYPE)

The PMT would be zero

After applying the above formula, the rate of interest is 11.7453%

Answer:

35/ 18

(Decimal: 1.944444)

Step-by-step explanation:

Answer

Step-by-step explanation:35/18

Answer: 180 miles

Step-by-step explanation:

From the question, we should note that the distance taken will be calculated by using the formula which will be:

Distance = Rate × Time

where,

Rate = 60 miles per hour

Time = 3 hours

Distance = 60 × 3

Distance = 180 miles

Therefore, the distance travelled is 180 miles.

Answer:

x=1 y=6

Step-by-step explanation:

make equation 3 from equation 1

substitute equation 3 from 2

find x or y from equation 3

Answer: 1. -5 because what you do on the left you do on the right

2. i believe it’s a disjuction bc its true if at least one of the statements that form it is true.

Answer:

36

Step-by-step explanation:

Answer:

3x+18

Step-by-step explanation:

3 times x

3 times 6

3x

18

3x+18

Answer:

The number of nickels is 47

Step-by-step explanation:

1 nickel is 5 cents while 1 quarter is 25 cents

let the number of nickels be n and the number of quarters be q

From the question;

the number of nickels n is 8 more than half the number of quarters (q/2)

n = q/2 + 8

(n-8) = q/2

q = 2(n-8) = 2n - 16 ••••(i)

let us convert $21.85 to cents

there are 100 cents in $1

Thus; $21.85 will be 21.85 * 100 = 2185 cents

1 nickel is 5 cents; so n nickels will be 5 * n = 5n cents

1 quarter is 25 cents; so q quarters will be 25 * q = 25q cents

The addition of both will give 2185 cents

Thus;

5n + 25q = 2185 ••••••(ii)

Substitute equation i into ii

5n + 25(2n-16) = 2185

5n + 50n - 400 = 2185

55n = 2185 + 400

55n = 2,585

n = 2,585/55

n = 47 nickels

Answer:

3 qt

Step-by-step explanation:

Let's stick to one unit to facilitate things. I'm going to use quarts as the unit.

1 gal = 4 qt

Initial value = 3 gal 2 qt = 14 qt

Change = 2 gal 3 qt = 11 qt

14 qt - 11 qt = 3 qt

Answer:

0.481

Step-by-step explanation:

P(A U B) = P(A) + P(B) - P(A∩B)

              = 0.3 + 0.43 - 0.249

              = 0.73 - 0.249

              = 0.481

Answer:

Volume of composit figure= 4834.14 cm^3

Step-by-step explanation:

here's your solution

=> Radius of hemisphere = 9 cm

==> volume of hemisphere = 2/3πr^3

==> volume of hemisphere = 2/3*22/7* 9^3

==> volume = 1526.04 cm^3

=> Radius of cylinder = 9 cm

=> Height of cylinder = 13 cm

==> volume of cylinder = πr^2h

==> volume of cylinder = 22/7*9^2*13

==> volume of cylinder = 3,308.1 cm^3

Volume of composit figure = 1526.04 + 3308.1

= 4834.14 cm^3

hope it helps

Answer:

8.3% probability

Step-by-step explanation:

(3) YELLOW  ⇒   [tex]\frac{3}{12}[/tex]   ⇒  25%

(5) BLUE       ⇒   [tex]\frac{5}{12}[/tex]   ⇒  41.6%

(4) RED         ⇒   [tex]\frac{4}{12}[/tex]   ⇒  33.3%

║(12) IN TOTAL

[tex]\frac{4}{12}[/tex] ⋅ [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{12}[/tex]

[tex]\frac{1}{12}[/tex] = 8.3%

PROBABILITY OF (1) RED, AND (1) YELLOW  ⇒ 8.3% probability

Answer:

g

Step-by-step explanation:

Answer:

2, 3, 4, and 5

Step-by-step explanation:

Class A and Class B's distributions overlap for the values of 2, 3, 4, and 5. This can be seen in the dot plot below since all of these values have inputs on both of the class' distributions. Values 0 and 1 are not included because they only have inputs for Class A, while values 6 and 7 are not included because they only have inputs for Class B. In order for the values to overlap they need to be included in both class distributions.

Answer:

2,3,4,5

Step-by-step explanation:

Class A and Class B distribution overlap at 2,3,4 and 5 because if you look at both graphs you can see how they both overlap each other.

Answer:

18 feet

Step-by-step explanation:

12/2 is 6

6*3= 18

Answer:

WHeres the questionnn???????

Step-by-step explanation: