A kindergarten teacher bought $21 worth of stickers and cardstock for his class. The stickers cost $1.50 a sheet and the cardstock cost $3.50 per pack. The equation 1.5s+3.5c=21 represents the relationship between sheets of stickers, s, packs of cardstocks, c, and the dollar amount a kindergarten teacher spent on these supplies.

1. Explain how we can tell that this graph represents the give equation.

2. What do the vertical and horizontal intercepts, (0,6) and (14,0), mean in this situation?

Answer:

2 miles per hours

Step-by-step explanation:

You divide 1/3 mile by 1/6 hour

Use the reciprocal.

1/3 x 6/1 = 2/1

Simplify

2/1 = 2

You can also solve it this way:

If 1/6 hour is 10 minutes, and it takes 10 minutes to walk 1/3 a mile, then it would take 30 minutes to walk a mile.

30 x 2 = 60

Either way, Richard walks 2 miles per hour.

Richard is walking at an average speed of 2 miles per hour which is the correct answer would be option (B).

Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.

To determine how fast is Richard walking, in miles per hour

We have to calculate the average speed which is the ratio of the total distance traveled by a body to the total time

Total distance traveled by Richard = 1/3 mile

The total time taken = 1/6 hour

Average speed = the total distance / the total time

Average speed = (1/3) / (1/6)

Reciprocal the denominator term, and we get

Average speed = (1/3) × 6

Average speed = 2 miles per hour

Therefore, he is at an average speed of 2 miles per hour

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Answer:

a) The daily fee is $102

The processing fee is $42

b) The maximum number of days the beach house can be rented with no more than $1,200 is (by rounding down) 11 days

Step-by-step explanation:

The data given in the table are as follows;

Number of days (t)  [tex]{}[/tex]                       Total cost, T (dollars)

2               [tex]{}[/tex]                                       246

4   [tex]{}[/tex]                                                   450

6  [tex]{}[/tex]                                                    654

8   [tex]{}[/tex]                                                   858

Whereby, we have that the processing fee is P, and the daily fee is D, we can write;

Total cost, T = D × t + P

From the table, we have;

When t = 2 days and T = $246, the above equation for total cost becomes;

$246 = D × 2 + P = 2·D + P

246 = 2·D + P.....(1)

Similarly, when t = 6 days, and T = $654, we have;

$654 = D × 6 + P = 6·D + P

654 = 6·D + P.....(2)

Subtracting equation (1) from equation (2) gives;

654 - 246 = 6·D + P - (2·D + P)

408 = 4·D

D = 408/4 = 102

The daily fee, D = $102

From equation (1), we have;

246 = 2·D + P = 2 × 102 + p

p = 246 - 2 × 102 = 42

P = $42

The processing fee, P = $42

b) Given that the maximum amount available (total amount) for spending on the beach house rental = $1200, we have;

T = D × t + P

Where, D = $102 and P = $42 are constants and T = $1,200, we have;

1,200 = 102 × t + 42

t = (1200 - 42)/102 ≈ 11.35 days

Given that we can only rent the beach house for a whole number of days, the number of days the beach house can be rented is therefore, by rounding down, t = 11 days.

a) D = $102

   P = $42

b) t = 11 days

Step-by-step explanation:

Given :

Data in the table -

Days (t)                    Total cost (dollors) (T)

 2                                        246

 4                                        450

 6                                        654

 8                                        858

Calculation :

a) Let the total processing fee is P and the daily fee is D.Now,

[tex]\rm T = D \times t + P[/tex]     ------------  (1)

Now, from the table we have ,

When t = 2 days and T = $246 than equation (1) becomes  

[tex]\rm 246 = D\times 2+ P = 2D + P[/tex]  

246 = 2D + P   ------- (2)  

Similarly, when t = 6 days, and T = $654, then equation (1) becomes  

[tex]\rm 654 = D\times 6+ P = 6D + P[/tex]  

654 = 6D + P   --------- (3)  

Subtracting equation (2) from equation (3) ,  

654 - 246 = 6D + P - (2·D + P)  

408 = 4D  

D =  $102    

From equation (2),  

246 = 2·D + P = 2 × 102 + p  

p = 246 - 2 × 102 = 42  

P = $42    

b) Given:

The maximum amount available for spending on the beach house rental = $1200

 Now,

[tex]\rm T= D\times t + P[/tex]  

Where, D = $102 and P = $42 are constants and T = $1,200,  

1200 = 102t + 42  

t = 11.35 days  

Given that we can only rent the beach house for a whole number of days. therefore, the number of days the beach house can be rented is, t = 11 days.

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Answer:

1/2

Step-by-step explanation:

see attached picture.

Answer:

∠ S = 55°

Step-by-step explanation:

∠ R and ∠ S are vertical angles and congruent, thus

∠ S = ∠ R = 55°

Answer:

-12.2, -12, -55.5 and -55

Answer:

Hey mate......

This is ur answer......

-55.5< -55< -12.2< -12

hope it helps,

mark me as the brainliest,

follow me....

Answer:

25

Step-by-step explanation:

Hope This Helps!

Plz Mark Brailiest!

Answer:

Translation

Step-by-step explanation:

Translation means that it moves without changing shape, and here it just moves to the right, but the shape is still the same

Answer:

30−2(32+6)

=30−2(9+6)

=30−(2)(15)

=30−30

=0

Answer:

A=1\8

c=4

then b=2

i am only do this by getting fun and do for help other

The value of [b] if a = 1/8 and c = 4 will be 33/16.

The mean of two numbers [a] and [b] is -

[M] = (a + b)/2

Given is that a = 1/8 and c = 4.

We have the following values -

a = 1/8

c = 4

Therefore, we can write the value of [b] as -

b= (1/8 + 4)/2

b = (33/8)/2

b = 33/8 x 1/2

b = 33/16

Therefore, the value of [b] if a = 1/8 and c = 4 will be 33/16.

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Answer:

Distributive propery

Answer:

Step-by-step explanation:

I hope this helps!

Answer: 12.9

Step-by-step explanation:

5.1 + 2 + 5.8 = 12.9

The perimeter of the triangle ABC is 12.9 units.

The perimeter of a triangle is the sum of length of three sides of the triangle.

Given, the triangle ABC is rotated by 135 degrees about point S to create the triangle A'B'C'.

We know, after rotation of a figure, the whole dimension of the figure remains the same.

Therefore, AB = A'B' = 5.1 units

BC = B'C' = 2 units

CA = C'A' = 5.8 units

Hence, the perimeter of the triangle ABC

= (5.1 + 2 + 5.8) units

= 12.9 units

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Answer:

B

Step-by-step explanation:

Answer:

Z= [tex]-\frac{3}{245}[/tex]

Step-by-step explanation:

Answer:

x3+y3+z3=k  with k is integer from 1 to 100

solution x=0 , y=0 and z=1 and k= 1

For K= 1 , we have the following solutions (x,y,x) = (1,0,0) ; or (0,1,0) ; or (0,0,1) ,

For k =1 also (9,-8,-6) or (9,-6,-8) or (-8,-6,9) or (-8,9,-6) or (-6,-8,9) or (-6,9,8)

And (-1,1,1) or (1,-1,1)

=>(x+y)3−3x2−3xy2+z3=k

=>(x+y+z)3−3(x+y)2.z−3(x+y).z2=k

=>(x+y+z)3−3(x+y)z[(x+y)−3z]=k

lety=αand z=β

=>x3=−α3−β3+k

For k= 2 we have (x,y,z) = (1,1,0) or (1,0,1) or (0,1,1)

Also for (x,y,z) = (7,-6,-5) or (7,-6,-5) or (-6,-5,7) or (-6,7,-5) or (-5,-6,7) or (-5,7,-6)

For k= 3 we have 1 solution : (x,y,z) = (1,1,1)

For k= 10 , we have the solutions (x,y,z) = (1,1,2) or (1,2,1) or (2,1,1)

For k= 9 we have the solutions (x,y,z) = (1,0,2) or (1,2,0) or (0,1,2) or (0,2,1) or (2,0,1) or (2,1,0)

For k= 8 we have (x,y,z) = ( 0,0,2) or (2,0,0) or (0,2,0)

For k= 17 => (x,y,z) = (1,2,2) or (2,1,2) or ( 2,2,1)

For k = 24 we have (x,y,z) = (2,2,2)

For k= 27 => (x,y,z) = (0,0,3) or (3,0,0) or (0,3,0)

for k= 28 => (x,y,z) = (1,0,3) or (1,3,0) or (1,3,0) or (1,0,3) or (3,0,1) or (3,1,0)

For k=29 => (x,y,z) = (1,1,3) or (1,3,1) or (3,1,1)

For k = 35 we have (x,y,z) = (0,2,3) or (0,3,2) or (3,0,2) or (3,2,0) or 2,0,3) or (2,3,0)

For k =36

we have also solution : x=1,y=2andz=3=>

13+23+33=1+8+27=36 with k= 36 , we have the following

we Have : (x, y,z) = (1, 2, 3) ; (3,2,1); (1,3,2) ; (2,1,3) ; (2,3,1), and (3,1,2)

For k= 43 we have (x,y,z) = (2,2,3) or (2,3,2) or (3,2,2)

For k = 44 we have ( 8,-7,-5) or (8,-5,-7) or (-5,-7,8) or ( -5,8,-7) or (-7,-5,8) or (-7,8,-5)

For k =54 => (x,y,z) = (13,-11,-7) ,

for k = 55 => (x,y,z) = (1,3,3) or (3,1,3) or (3,1,1)

and (x,y,z) = (10,-9,-6) or (10,-6,-9) or ( -6,10,-9) or (-6,-9,10) or (-9,10,-6) or (-9,-6,10)

For k = 62 => (x,y,z) = (3,3,2) or (2,3,3) or (3,2,3)

For k =64 => (x,y,z) = (0,0,4) or (0,4,0) or (4,0,0)

For k= 65 => (x,y,z) = (1,0,4) or (1,4,0) or (0,1,4) or (0,4,1) or (4,1,0) or (4,0,1)

For k= 66 => (x,y,z) = (1,1,4) or (1,4,1) or (4,1,1)

For k = 73 => (x,y,z) = (1,2,4) or (1,4,2) or (2,1,4) or (2,4,1) or (4,1,2) or (4,2,1)

For k= 80=> (x,y,z)= (2,2,4) or (2,4,2) or (4,2,2)

For k = 81 => (x,y,z) = (3,3,3)

For k = 90 => (x,y,z) = (11,-9,-6) or (11,-6,-9) or (-9,11,-6) or (-9,-6,11) or (-6,-9,11) or (-6,11,-9)

k = 99 => (x,y,z) = (4,3,2) or (4,2,3) or (2,3,4) or (2,4,3) or ( 3,2,4 ) or (3,4,2)

(x,y,z) = (5,-3,1) or (5,1,-3) or (-3,5,1) or (-3,1,5) or (1,-3,5) or (1,5,-3)

=> 5^3 + (-3)^3 +1 = 125 -27 +1 = 99 => for k = 99

For K = 92

6^3 + (-5)^3 +1 = 216 -125 +1 = 92

8^3 +(-7)^3

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

It would be 26

Step-by-step explanation:

Answer:

25x<25x

Step-by-step explanation:

i think its that

Answer:

1 ≤ x

Step-by-step explanation:

20 + 5x [tex]\leq[/tex] 5(1 + 4x)

20+ 5x ≤  5 + 20x

      -5x           -5x

20 ≤ 5 + 15x

-5     -5

15 ≤ 15x

÷15   ÷15

1 ≤ x

Answer: S = P600 × n

Step-by-step explanation:

Amount earned per day = P600

Number of days used = n

The total salary s, will be the value of p600 multiplied by n. This will be:

= P600 × n

Therefore, the function regarding the total salary, s will be: P600 × n

Answer:

40 degrees

Step-by-step explanation:

There are parallel lines and a transversal. That means that angle a and b are congruent due to corresponding angles theorem.

5x-5=3x+13

Move the variables on one side and numbers on the other. 2x=18

Finally, x=9 And then after you plug it in, your final answer for angle b is 40 degrees.

Answer:

Step-by-step explanation:

Well both angles are the same because the lines are parallel and then there is a line going through them so <A = <B   meaning

5x-5=3x+13 and then you solve

5x - 3x = 13 + 5

2x = 18

x = 9

[tex]\huge\green{Answer}[/tex]

infinite solutions

Explanation:

note that

2(x+1)=2x+2

⇒2x+2=2x+2

since both sides of the equation are equal then any value

of x is a solution to the equation

⇒ there are an infinite number of solutions

Answer:

true

Step-by-step explanation:

2(x + 1) = 2x + 2

2x + 2 = 2x + 2

0 = 0

Answer:

17

Step-by-step explanation:

ZBAM= 90

90=4x+22

90 minus 22= 68

68=4x

68 divided by 4=17

Answer:

4.5 feet, or is there is 5 feet as an option, then 5 feet.

Step-by-step explanation:

ya just subtract

Answer:

it’s neither parallel or perpendicular

Step-by-step explanation:

Answer:

The answer is 1

Step-by-step explanation:

combine like terms!

[tex]8+6x-5x+2+2x=12\\8+2+6x-5x+2x=12\\10+6x-5x+2x=12\\10+x+2x=12\\10+2x=12\\2x=2\\x=1[/tex]

hope this helps!!

Answer:

Step-by-step explanation:

(2n+1)(n+5) - 2(n+3) - (5n+13) = 2n² + 4n - 14 (*)

+) if n is divisible by 3 ⇒ n= 3k ⇒ (*)⇔ 2.9k² + 4.9k -14

2.9k² + 4.9k = 3( 2.3k² +4.3k) ║ 3 but  14∦3

⇒ with n =3k, (*)∦ 3 (1)

+) if n = 3k + m (m∦ 3)

⇒ (*) ⇔ 2.(3k+m)² + 4.(3k+m) -14 = 2.9k² + 2.3k.m + 2m² + 4.3k + 4m -14

= 3(2.3k² + 2.km + 4k) +2m² + 4m -14

3(2.3k² + 2km + 4k)║3 but (2m²+4m-14)∦3

⇒ with n = 3k+m, (*) ∦ 3 (2)

(1)(2)⇒ [(2n+1)(n + 5) - 2(n+3) - (5n+13)] ∦ 3

⇒ (2n+1)(n+5)–2(n+3)–(5n+13)   is not divisible by 6 for any whole n