An amusement park ride allows a maximum of 15 riders at any one time. There are 4 riders already on the ride.

The inequality, r+4≤15, can be used to find r, the number of additional riders allowed on the ride.



Which inequality represents all possible values of r?

r≤19

r≥19

r≤11

r≥11

Answer:

that's The truth

Step-by-step explanation:

that's more like a trade

Answer:

14. T = 20 + 1.50d so T = 44, 15. p = 1.25s - 135 must sell 109 to make a profit

Step-by-step explanation:

14. T = 20 + 1.50d so for 16 deliveries T = 20 + 1.50(16) , T = 44

15. p = 1.25s - 135 so if they sell 109 items (s) there is a profit since the profit starts after the original cost is recovered

Answer:

answer the solution is 3

Answer:

The slope is 5/4 and the y-intercept is 2.

Step-by-step explanation:

5x-4y=-8

4y=5x-(-8)

4y=5x+8

y=5/4x+8/4

y=5/4x+2

y=mx+b where m=slope and b=y-intercept.

Answer:

positive slope

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

Your question isn't complete but I guess that you want to find the population of the cats in Year 1. This will be represented by x. Therefore,

x + (25% × x) = 60

x + (0.25 × x) = 60

x + 0.25x = 60

1.25x = 60

x = 60/1.25

x = 48

The population of cats in year 1 is 48

Answer:

$13,400

Step-by-step explanation:

Simple Interest = principal × rate × time

principal= $9000

Rate= 12/100=0•12

Time=5years

Simple interest =PRT

= 9000× 0•12 × 5

= 5400

Total amount to be paid = 9000 + 5400

= $13400

Answer:

Step-by-step explanation:

What is the question?

g(x) = -0.5x² + 4x - 2 is a down-opening parabola. Do you need to know how to put it in vertex form?

vertex (4,6)

focus (4,5.5)

Answer:

B.24

Step-by-step explanation:

32 divided by 4

=8

8x3=24 paid cans

36-24=8 free cans

Answer:

2

Step-by-step explanation:

Use the vertex form equation first since you are given the vertex (-1,-2) where you have (h,k) so h = -1 and k = -2

y =  [tex]a (x - -1)^{2}[/tex] + (-2) so if you simplify we get y =  a(x+1)^2 -2

Since we are also given a point we can solve for a so x = 2 and y = 16

16 = a(2+1)^2 - 2

16 = a(3)^2 - 2

18 = 9a

a = 2

Answer:

y = 1/2x + 3

Step-by-step explanation:

Rise/Run and since y = 3 when x = 0, then the b part in y = mx + b is 3.

Answer:

18 : 26

Step-by-step explanation:

It is very easy, angel fish and clown fish are fish, so once you add them up you get 26. The seahorses are 18 and we are supposed to make them S:F. Therefore you put the seahorses first and the fish second, so you get the answer 18:26

Answer:

(2,114)

Step-by-step explanation:

g(x)= -16x² + 64x + 80

Plug 2 in to check if it's correct.

g(2)= -16(2)² + 64(2) + 80

-16(4)+128+80

-64+128+80

= 144

Answer:

144

Step-by-step explanation:

Answer:

YZ = 14

Step-by-step explanation:

We are told that;

WZ = 23 and XZ = 18

Now, ∠X in △XWZ which is a right angle triangle can be gotten using trigonometric ratio.

Thus;

WZ/XZ = tan θ

23/18 = tan θ

tan θ = 1.2778

θ = tan^(-1) 1.2778

θ = 51.95°

Now, the ∠X is 90° in △XWY.

Thus, in △XZY, ∠X = 90 - 51.95 = 38.05°

Again, using trigonometric ratio, we can find YZ.

Thus;

YZ/XZ = tan 38.05°

YZ = XZ tan 38.05°

YZ = 18 × 0.7827

YZ = 14.0886

Approximating to a whole number gives: YZ = 14

Answer:

The interquartile range is 30

Step-by-step explanation:

Here, we want to get the interquartile range

We start by arranging the numbers in order

10,20,30,40

The first quartile is;

(n + 1)/4 th term = (4+ 1)/4 = 5/4 = 1.25

This is approximately the first term = 10

Q3 is the third quartile

That is;

3(n + 1)/4 = 3(5)/4 = 15/4 =3.75

This is approximately the 4th term = 40

The interquartile range is the difference between the first and third quartile

Mathematically, we have that as;

40 - 10 = 30

Answer:

Step-by-step explanation:

cost = 3 pitchers × $0.50/pitcher = $1.50

revenue = 36 cups × $0.15/cup = $5.40

profit = $5.40 - $1.50 = $3.90

Answer:

2.74 Seconds

Step-by-step explanation:

-16t²+120=0

-16t²=-120

t²=7.5

t=2.74

Answer:

so you're adding up all the numbers together so 16+13+20+16+12+17+18=112

then you are dividing it by how many numbers there are so there are 7 numbers in total 112÷7=16

Answer:

Step-by-step explanation:

2(3x+2) + x = 39

6x+4+x = 39

7x = 35

x = 5

Answer:

y = 21

Step-by-step explanation:

(3y-8) = 55 (corresponding angles are equal)

3y-8 = 55 (add 8 from both sides)

3y = 63 (divide 3 from both sides to isolate the y variable)

y = 21 (final answer)

Answer:

y = 21

Step-by-step explanation:

Answer:

The first derivative of [tex]y = \sqrt{\frac{1-x}{1+x} }[/tex] is [tex]y' = -\frac{1}{(1-x)\cdot (1+x)^{3/2}}[/tex].

Step-by-step explanation:

Let [tex]y = \sqrt{\frac{1-x}{1+x} }[/tex]. we can determine its first derivative by Rule for the Square Root Function, Rule for Power Function, Rule of Chain and Rule for the Addition of Functions, Rule for the Subtraction of Functions, Rule for the Division of Functions:

[tex]y' = \frac{1}{2\cdot \sqrt{\frac{1-x}{1+x} }}\cdot \frac{(-1)\cdot (1+x)-(1)\cdot (1-x)}{(1+x)^{2}}[/tex]

[tex]y' = \frac{1}{2}\cdot \sqrt{\frac{1+x}{1-x} }\cdot \left[\frac{-1-x-1+x}{(1+x)^{2}} \right][/tex]

[tex]y' = \frac{1}{2}\cdot \sqrt{\frac{1+x}{1-x} } \cdot \left[-\frac{2}{(1+x)^{2}} \right][/tex]

[tex]y' = -\frac{1}{(1-x)\cdot (1+x)^{3/2}}[/tex]

The first derivative of [tex]y = \sqrt{\frac{1-x}{1+x} }[/tex] is [tex]y' = -\frac{1}{(1-x)\cdot (1+x)^{3/2}}[/tex].

Answer:

18 seconds

Step-by-step explanation:

convert km/h to m/s and you get 22.22m/s. Then divide 400 by 22.22 and the answer is 18 seconds.

Hopefully this helps! Let me know if you have any questions!

Answer: used the synthetic division method

y^2+9y-28+(62/y+2)

Step-by-step explanation:

Step-by-step explanation:

nth term = 1 - 5n

6th term = 1 - 5(6)

= 1 - 30

= - 29

Answer:

9

Step-by-step explanation:

This is because 21/7 is 3. So, you use the scale factor of 3 to divide 27/3 to get x which is 9.