Q 1: There are n boxes in a large bag and m toys in each box. What is the total number of toys in the bag? Q 2 :The length of a rectangle is given by x + 2 and its width is equal to 3. Give a simplified expression of the area of this rectangle.

Answer:

Federal tax amount = $18,425

Step-by-step explanation:

Given:

Total sales amount = $335,000

Federal tax rate = 5.5%

Find:

Federal tax amount = ?

Computation:

⇒ Federal tax amount = Total sales amount × Federal tax rate

⇒ Federal tax amount = $335,000 × 5.5%

⇒ Federal tax amount = $335,000 × 0.055

⇒ Federal tax amount = $18,425

Therefore, total amount of federal tax owed is $18,425

Answer:

y= -7/-4/-1/2/5/8

Step-by-step explanation:

Answer:

-7, -1, 8

Step-by-step explanation:

substitute the numbers in the equation given:

1) y=3x-1

y=3(-2) -1

y=-6 -1

y=-7

2)y=3x-1

y=3(0) -1

y=0-1

y=-1

3) y=3x-1

y=3(3) -1

y=9-1

y=8

Answer:

2) y= -2/3x +4

Step-by-step explanation:

2x+3y=12 convert to y=mx+b form

move over the 2x to isolate y

3y= -2x+12

divide by 3 in order to completely isolate y

y= -2/3x +4

Answer:

[tex]63[/tex]

Step-by-step explanation:

[tex]1 + 2^1 = 3\\3 + 2^2 = 7\\7 + 2^3 = 15\\15 + 2^4 = 31\\31 + 2^5 = 63[/tex]

Answer:

x = 0.8

Step-by-step explanation:

What this question asks us is that what value of x solves the first inequality but does not work for the second

Let’s solve the first inequality;

4x > 3.2-0.8

4x > 2.4

x > 2.4/4

x > 0.6

Now all values of x which is greater than 0.6 is a solution to the first inequality

Now to the second, we have;

-6 > -5x -1

Using the range of values from the first inequality;

if we say x = 0.8

Then

-6 > -5(0.8) -1

-6 > -4-1

-6 > -5

But this is not right in the real sense as actually

-5 > -6

So we can confirm that 0.8 is a solution that works for the first inequality but doesn’t work for the second

Answer:

no

Step-by-step explanation:

x + 15 = 42

Subtract 15 from each side

x + 15-15 = 42-15

x = 27

x = 17 is not 27 so it is not a solution

Answer:

No.

Step-by-step explanation:

If you substitute 17 in for x in the equation you get 17+15=42.  Simplify to get 32=42.  This is not a true statement, so x=17 is not the answer.

Answer:

D. $5,676.88

Step-by-step explanation:

A=P(1+r/n)^n*t

Where

P=principal=$5000

r=interest rate=6.45%=0.0645

n=periods=2(semiannually)

t=time=2 years

A=P(1+r/n)^n*t

=5,000(1+0.0645/2)^2*2

=5,000(1+0.03225)^4

=5000(1.03225)^4

=5000(1.13553756247925)

=5,676.8781

Approximately

$5,676.88

Answer:

y = [tex]4^{x+1[/tex]

Answer:

9.778 h

8.364 h

7.385 h

Step-by-step explanation:

In the given expression, "s" is Cecilia's average driving speed in miles per hour, 350 is the distance, in miles, between Atlantic City and Williamsburg, therefore:

For s = 45 mph

[tex]T = 2+\frac{350}{45}\\T=9.778\ h[/tex]

For s = 55 mph

[tex]T = 2+\frac{350}{55}\\T=8.364\ h[/tex]

For s = 65 mph

[tex]T = 2+\frac{350}{65}\\T=7.385\ h[/tex]

Answer:

please give more clarification

[tex]answer = \\ triangle \: b \: and \: d \: does \: not \: seems \: to \\ be \: congruent \: to \: each \: other. \: \\ explanation \\ congruent \: triangles \: are \: those \: \\ which \: are \: exactly \: same \: copy \\ of \: each \: other.they \: have \: same \: side \\ lengths \: shape \: size \: and \: angles. \\ triangle \: a \: and \: e \: seems \: to \: be \: \\ congruent. \: triangle \: c \: and \: f \: seems \: \\ to \: be \: congruent.triangle \: b \: and \: d \: \\ doesnot \: match \: with \: any \: other \: triangles. \\ hope \: it \: helps[/tex]

Answer:

triangle b & d

(Apex)

Answer:

a=24.65 sq.m

Step-by-step explanation:

A=[tex]a^{2} or l^{2}[/tex]

608=[tex]a^{2}[/tex]

[tex]a=\sqrt{608}[/tex]

[tex]a=24.65[/tex]

To check your answer

[tex]A=a^{2} \\A=24.65^{2}\\A=24.65*24.65\\A=607.6225=608[/tex]

Answer:

10,000 nickels

Step-by-step explanation:

Answer:jss needed point srry

Step-by-step explanation:

Answer:

Eva swam 400 meters in 1/5 hour. Her average swimming speed was 2000 meters per hour.

Step-by-step explanation:

Eva swam 2/3*600 meters in 1/5 hour. 2/3*600=400. She swam 400 meters in  1/5 hour, which means she swims 5*400 meters in a whole hour. Eva swims 2000 meters per hour.

Answer:

tan A = 28/45

Step-by-step explanation:

                                                                        opposite side

the tangent function is defined as tan A = ------------------------

                                                                        adjacent side

Here the length of the side opposite angle A is 28 and that of the side adjacent to A is 45.  Thus, the tangent of angle A is

tan A = 28/45

Answer:

Sample space can be describes as:

S = {0,1,2,3,4,5,6,7,8}

Step-by-step explanation:

Usually used in probability questions, a sample space is defined as a set of collection of all possible outcomes. It is the list of all possible results.

Sample spaces are usually written using set notation, where each possible outcome is listed only once within curly bracket.

S = {outcome 1, outcome 2, ..........}

As it is given the a bus can hold up to 8 passengers. We need to find the sample space of to number of passengers actually riding the bus.

So the minimum numbers of passengers is 0

The maximum numbers of passengers is 8

So the numbers of passengers lies between 0 and 8.

Answer:

7x

Step-by-step explanation:

10. tan(30) = l / 6√3

l = tan(30) x 6√3

l = 6

cos(30) = 6√3 / y

y =  6√3/cos(30)

y = 12

11. tan(30) = c/30

c = 30 x tan(30)

c = 10√3

cos(30) = 27/w

w = 27/cos(30)

w = 18√3

12.

sin(60) = 36/y

y = 36/sin(60)

y = 24√3

tan(60) = 36/x

x = 36/tan(60)

x = 12√3

Answer:

  10. (l, y) = (6, 12)

  11. (c, w) = (9√3, 18√3)

  12. (x, y) = (12√3, 24√3)

Step-by-step explanation:

Side ratios, shortest to longest, in a 30°-60°-90° triangle are ...

  1 : √3 : 2

__

10. l : 6√3 : y = 1 : √3 : 2

multiply by 6

  = 6 : 6√3 : 12

  l = 6, y = 12

__

11. c : 27 : w = 1 : √3 : 2

multiply by 27/√3 = 9√3

  = 9√3 : 27 : 18√3

  c = 9√3, w = 18√3

__

12. x : 36 : y = 1 : √3 : 2

multiply by 36/√3 = 12√3

  = 12√3 : 36 : 24√3

  x = 12√3, y = 24√3

__

This is easier when the triangle is drawn to clearly differentiate the lengths of the sides. The long leg is opposite the 60° angle; the short leg is opposite the 30° angle.

Answer:

15.33cm

Step-by-step explanation:

when you try to draw out this figure, satisfying the fact that Ad and Ac are both straight lines. you find the ultimately  it forms a right-angled triangle with sides AC and AD and hypotenuse CD.

Now, you may use Pythagoras theorem to solve:

AC^2 + AD^2 = CD^2

12.3^2 + 9.15^2 = CD^2

CD^2 = 235.0125

CD = square root of 235.0125 = 15.33cm

Hope this helps

Answer:

A

Step-by-step explanation:

If I'm completely honest I'm not really sure of this cause I hv another way of doing this...

   ,

Answer:

work is shown and pictured

Answer:

the answer is B

Step-by-step explanation:

actually 7/4 in mixed number is 1 3/4 but i think it's just the same as the B (optional)

Answer:

C=37.680

Step-by-step explanation:

The diameter is 2x the radius, so 6x2 is 12. 12x3.14 = 37.680.

[tex]answer \\ 37.68 \: ft \\ solution \\ r = 6 \: ft \\ d = 6 \times 2 = 12 \: ft \\ circumference = \pi \: d \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times 12 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 37.68 \: ft \\ hope \: it \: helps[/tex]