On Monday, 449 students went on a trip to the zoo. All 9 buses were filled and 8 students had to travel in cars. How many students were on each bus?

Hey!

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Explanation and Solution:

A polygon has to at least have 360° total to form a polygon.

Since there are 24 sides you divide 360 by 24.

360 / 24 = 15

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Answer:

The measure of each exterior angle has to be at least 15° to form a complete polygon of 24 sides.

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Hope This Helped! Good Luck!

Answer:

sin³x

Step-by-step explanation:

Using the trigonometric identities

1 + cot²x = csc²x

cscx = [tex]\frac{1}{sinx}[/tex]

Given

[tex]\frac{sinx}{1+cot^2x}[/tex]

= [tex]\frac{sinx}{csc^2x}[/tex]

= [tex]\frac{sinx}{\frac{1}{sin^2x} }[/tex]

= sinx × sin²x

= sin³x

The distance between 178 and 313 on a number line is:  135

We know that the distance between two points a and b on a number line is equal to the absolute difference between the two numbers.

i.e. Distance between two numbers = |a-b|

Here we have:

a= 178

and b=313

This means that:

|a-b|=|178-313|=|-135|=135

Answer:

164

Step-by-step explanation:

pemdas

parentheses first: 4(25+5+1+10) = 4(41)

parentheses around only on term means multiply

4(41)= 164

Answer:

164

Step-by-step explanation:

PEMDAS requires you to do whatever is asked inside the parenthesis first. So in this case, add all those together to get the answer of 41, then multiply by 4 on the outside

[tex]\text{Hello there!}\\\\\text{We know that Murphy makes \$85,420}\\\\\text{However, we need to find how much he needs to pay in federal taxes}\\\\\text{Looking at the chart, you'll see that federal taxes is 24\%}\\\\\text{This means we have to multiply 85,420 by .24 to see how much he needs}\\\text{to pay}\\\\85420*.24=20500.8\\\\\boxed{\text{Answer: C). \$20500.8}}[/tex]

The amount paid as Federal tax by the Murphys' is  $20,500.80.

A pie chart is a kind of graph that is plotted in circular form. It is often used to present information succinctly and for easy digestion by the target audience.

In order to obtain the amount of  money that the  Murphys' pay as federal tax;

Hence;

Amount paid as federal tax = 24/100 ×  $85,420 =  $20,500.80

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Answer:

A. Counterclockwise rotation 90 about the origin

Step-by-step explanation:

All we have to do is make the 270°-clockwise [90°-counterclockwise] rotation to map it exactly on q' and p'.

I am joyous to assist you anytime.

Option (A) counterclockwise rotation 90° about the origin makes the the parallel lines p and q will coincide with parallel lines p' and q' is the correct answer.

A rotation is a transformation that turns the figure in either a clockwise or counterclockwise direction on the coordinate plane. In both transformations the size and shape of the figure stays exactly the same.

For the given situation,

The graph shows the parallel lines p, q and p', q' in the plane.

The parallel lines p and q coincide with parallel lines p' and q' when we transformed the parallel lines by counterclockwise rotation 90°  about the origin.

After this transformation of rotation, the parallel lines p and q will coincide with parallel lines p' and q'.

Hence we can conclude that option (A) counterclockwise rotation 90° about the origin makes the the parallel lines p and q will coincide with parallel lines p' and q' is the correct answer.

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Answer:

The fraction of the work that are drawings is [tex]\frac{7}{20}[/tex]

Step-by-step explanation:

we have that

100%=100/100=1

we know that

The sum of the fractions of the works must be equal to 1

Let

x -----> the fraction of the work that are drawings

so

[tex]1=\frac{1}{4}+\frac{2}{5}+x[/tex]

Solve for x

[tex]1=\frac{13}{20}+x[/tex]

Subtract 13/30 both sides

[tex]x=1-\frac{13}{20}[/tex]

[tex]x=\frac{7}{20}[/tex]

Answer:

$5.25

Step-by-step explanation:

if it cost 75 cents to play 3 games, that means it cost 25 cents per game. Multiply 21 games by 25 cents per game and you get 525, or $5.25.

Answer:

$1,031.25 will be in the account

Answer:

$1031.25.

Step-by-step explanation:

The formula for simple interest is

I = PRT/100 so substituting:

I = 750 * 7.5 * 5 / 100

Interest I =  $281.25.

Amount in account =  750 + 281.25

=  $1031.25.

Answer:

A ≈ 78.54

Step-by-step explanation:

Area of a circle is A=πr^2

Since you do not know r (radius) you take the formula for the circumference of a circle (C=2πr), plug in 31.4 for C, and solve for r

Now that you have the radius of 4.99746521, you round it up to 5 and solve the area formula with 5 in as r.

answer:78.5

for explanation see the picture

Answer:

RIght

Step-by-step explanation:

RIght is an equal angle so, therefore it would be right

The angle in the standard position is the graph given below.

We have,

An angle in standard position refers to an angle that is formed by the initial side and terminal side in the Cartesian coordinate system.

The initial side is the positive x-axis, and the terminal side is a ray that starts from the origin (0, 0) and extends in a specific direction.

Now,

The graph given below starts from the origin (0, 0).

The initial side is in the positive x-axis.

The terminal is a ray parallel to the positive x-axis.

Thus,

The angle in the standard position is the graph given below.

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Answer:

$ 2330

Step-by-step explanation:

a = $240

Earning at the end of fifth week = $ 680

increase in earnings per weak = ( 680 -240)/2     = 440/2 =110

d =110

l = a + (n-1)d

a20 = 240 + (19 * 110 ) = 240 + 2090 =   2330

Answer:2334

Step-by-step explanation:

Answer:

f=3/2

Step-by-step explanation:

33+12f=51

1) subtract 33 on both sides:

12f=18

2) Divide both sides by 12:

f=18/12

3) Simplify the fraction:

f=3/2

Answer:

31.5

Step-by-step explanation:

42% of 75 is 31.5. The working is as follows :

42 ÷ 100 × 75 = 31.5

You can also use the picture ^^

Answer:

[tex]C.[/tex]  [tex]31.5[/tex]

Step-by-step explanation:

When trying to find a percent of a number, you must always do the following steps:

Multiply the number by the percent number.

[tex]42 * 75 = 3150[/tex]

Dividing you answer by 100.

[tex]3150 / 100 = 31.5[/tex]

Add percent sign.

31.5%

[tex]\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ G(\stackrel{x_1}{1}~,~\stackrel{y_1}{0})\qquad H(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{x+1}{2}~~,~~\cfrac{y+0}{2} \right)~~=~~\stackrel{\stackrel{Midpoint}{M}}{(3~,~0)}\implies \begin{cases} \cfrac{x+1}{2}=3\\[1em] x+1=6\\ \boxed{x=5}\\ \cline{1-1} \cfrac{y+0}{2}=0\\[1em] \boxed{y=0} \end{cases}[/tex]

Answer:

7,045 and 6,123. The sum is 13,168

Answer:

The numbers 7654 and 5463 meets the given conditions.      

Step-by-step explanation:

We are given the following information in the question:

We have to create two four digits number from the digits between 0 and 7 such that there sum is greater than 9999.

Let x and y be the four digits number, then x and y must satisfy the equation:

[tex]x + y > 9999[/tex]

We choose the number 7654 and 5463. These are randomly fenerated from digits between 0 and 7.

Adding the two numbers:

[tex]x + y = 7654 + 5463 = 13117 > 9999[/tex]

Hence, the numbers 7654 and 5463 meets the given conditions.

Answer:

$74

Step-by-step explanation:

25*32 will be the total amount he spent at first. ($800)

He sells 22 calculators at 40$, 22*40 = 880.

He was unable to sell 3, and he had to pay 2$ per (2*3 = 6)

He had an 80 dollar profit before he returned them, (880-800).

Then he returned three for 6$ (80-6)

His end profit was 74.

Answer:

Option A.

Step-by-step explanation:

Expression given in the question is (f g)(5).

We know when two functions are f(x) and g(x) then (f g)(x) represents the multiplication of two functions.

(f g)(x) = f(x).[g(x)]

For x = 5

(f g)(5) = f(5).g(x)

It may be represented by the operation as

(f g)(5) = f(5) × g(x)

Therefore, option A. will be the answer.

The function (f g)(5) can be expressed as f(5) × g(5) as an equivalent expression.

The equivalent expression is determined as follows;

Two given functions such as  (f(5) and g (5), can be represented by the multiplication of the two functions as shown below.

(f g) (5) = (f (5) x g (5)

(f g) (5) = (f (5) x g (5)

Thus, the function (f g)(5) can be expressed as f(5) × g(5) as an equivalent expression.

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Answer:

   w = 9 or  w = 1

Step-by-step explanation:

4|w − 5| = 4

Divide both sides by 4

w - 5 = 4                         w - 5 = -4

   + 5    + 5                          + 5     + 5

     w = 9                             w = 1

Answer:

-9.5

Step-by-step explanation:

2x + 21 =

2x + 20 = 1 (C.P)

2x = 1-20

2x = - 19

x= - 19/2

x = - 9. 5

Answer:

x=0, y=-5

Step-by-step explanation:

The system is

(1)  5x+3y=-15  

(2) -8x-2y=10

Let's solve it by elimination.  In order to do it, you have to multiply the equations by suitable numbers in such a way that when you add the 2 equations, one of the unknowns is eliminated

Multiply (1) by 2 and (2) by 3

(1) 10x+6y=-30

(2) -24x-6y=30

Add the two equations

10x-24x+6y-6y=-30+30 ----> -14x=0---->x=0

Now replace this value in any equation, for example in (1)

6y=-30 ----> y=-30/6----> y=-5

Answer:  The required solution is (x, y) = (0, -5).

Step-by-step explanation:  We are given to solve the following system of equations by the method of substitution or elimination :

[tex]5x+3y=-15~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\-8x-2y=10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]

We will be solving the given system by substitution method.

From equation (ii), we have

[tex]-8x-2y=10\\\\\Rightarrow -4x-y=5\\\\\Rightarrow y=-4x-5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)[/tex]

Substituting the value of y from equation (iii) in equation (i), we get

[tex]5x+3(-4x-5)=-15\\\\\Rightarrow 5x-12x-15=-15\\\\\Rightarrow -7x=0\\\\\Rightarrow x=0.[/tex]

From equation (iii), we get

[tex]y=-4\times0-5=-5.[/tex]

Thus, the required solution is (x, y) = (0, -5).

Answer:

y = -2 2/5

Step-by-step explanation:

-3(y+3)=2y+3

-3y - 9 = 2y + 3

-3y - 2y = 3 + 9

    -5y   = 12

        y = 12/-5  = -12/5 = - 2 2/5

-3(y+3)=2y+3

Mutiply the bracket by -3

(-3)(y)= -3y

(-3)(3)= -9

-3y-9= 2y+3

Move -9 to the other side

Sign changes from -9 to +9

-3y-9+9= 2y+3+9

-3y= 2y+3+9

-3y= 2y+12

Move 2y to the other side

Sign changes from +2y to -2y

-3y-2y= 2y-2y+12

-3y-2y=12

-5y= 12

Divide both sides by -5

-5y/-5= 12/-5

Answer:

y= -12/5 or y=- 2 2/5

Answer:

E.) 5 cm

Step-by-step explanation:

The shapes are congruent and are the same size,  side TU is the same as NP. If TU is 5, then NP is 5.

Answer:

E. 5 cm.

Step-by-step explanation:

As the 2 figures are congruent then corresponding sides are congruent.

NP corresponds to UT = 5 cm.

So NP is  5cm long.

(If we rotate  Figure 2 through 180 degrees anticlockwise we see that it fits exactly on to figure 1.)

Answer:

14 to 20 or 7 to 10 is the ratio

Final answer:

The ratio of blue marbles to green marbles is 14:20, which simplifies to 7:10 or as a fraction, 7/10.

Explanation:

The ratio of blue marbles to green marbles from a bag containing 4 black marbles, 14 blue marbles, 8 brown marbles, and 20 green marbles is simply the number of blue marbles divided by the number of green marbles. To express this ratio, we would do the following:

Count the blue marbles: There are 14 blue marbles.

Count the green marbles: There are 20 green marbles.

Write the ratio: The ratio of blue marbles to green marbles would be 14 blue marbles to 20 green marbles.

Express as a fraction or with a colon: As a fraction, this is 14/20, which simplifies to 7/10. Or, using a colon, it is represented as 14:20, which also simplifies to 7:10.

Answer:

720

Step-by-step explanation:

Percentage share owned by Jillian = 60%

Total shares in corporation = 1200

Number of shares owned by Jillian = [tex]\frac{60*1200}{100} = 720[/tex]

Answer:

The anwser is 2.8000

Step-by-step explanation:

 You look at the tenth place its 8 :

   2.8151

Then you look to the right which is 1

is 1 more than 5 or less

1 < 5

8 stays the same but 1, 5, and 1 turn into zeros

Answer:

2.8151 rounded to the nearest tenth is 2.8, because tenths lie right after the decimal

I hope i helped :)

Answer:

(×-8)5=20

(5×-40)=20

5×(-40+40)=(20+40)

5×=60

5×÷5=60÷5

×=12

Based on the equation given, the value of the number is 12.

Let the number be represented by x.

Based on the information given, the equation to solve the question will be:

(x - 8) × 5 = 20

5x - 40 = 20

Collect like terms

5x = 20 + 40

5x = 60

Divide both side by 5

5x/5 = 60/5

x = 12

Therefore, the number is 12.

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Answer:

Step-by-step explanation:

The answer is 1-4/5