Mr. Thompson rents the kayak for 2 hours
and he rents the paddleboard for 3 hours.
What is the total cost of the rental?

==================================================

Explanation:

Pick any two rows from the table to form (x,y) points

I'll select the first two rows.

(x1,y1) = (-4,-3) from row 1

(x2,y2) = (0,-2) from row 2

Plug those values into the slope formula

m = (y2-y1)/(x2-x1)

m = (-2-(-3))/(0-(-4))

m = (-2+3)/(0+4)

m = 1/4

The slope is 1/4, which is also the rate of change.

Answer:

Step-by-step explanation:

let the number of children be x

and the number of adults be y

so

12x+3y=162-----1

and

8x+3y=122------2

equating both 1 and 2 we have

12x+3y=162-----1

8x+3y=122------2

subtract 2 from 1 we have

  12x+3y=162-----1

 - 8x+3y=122------2

    4y+0=40

4y=40

y=40/4

y=10

put y=4 in eqn 1 we have

12x+3y=162-----1

12x+3*10=162-----1

12x+30=162

12x=162-30

12x=132

x=132/12  

x=11

therefore a child will cost $11 and adult will cost $10

-525 and (35)(-15)

Step-by-step explanation:

You can calculate the result of this expression as follows:

(-7)(-15)(-5)=(-1)³(7×15×5)=-(7×15×5)=-525

as, (-1)^n=1 if n is even and (-1)^n=-1 if n is odd.

We already saw that -525 is equivalent to the expression. Furthermore:

(-7)(-15)(-5)=(-15)(-7)(-5)=(-15)(-1)²(7×5)=(-15)(7×5)=(-15)(35).

so the second expression is also equivalent.

You can discard the third and fourth answers because 115×5=575≠525. The first one is also discarded, because (-7)(75)=525≠-525.

The value of equivalent expression are, (- 1)(525) and (35)(- 15).

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, We can check all the options as,

(- 7) (-15) (- 5)

= (105)(-5)

= - 525

(–7)(–75) and (–1)(525)

= 525   &  - 525  

Not Equal

(–1)(525) and (35)(–15)

= -525  and - 525

Both Equal to  (- 7) (-15) (- 5)

(35)(–15) and (115)(–5)

= -525  and   - 575

Not Equal

(–1)(525) and (115)(–5)

= -525  and - 575

Not Equal

Hence, Expressions (- 1)(525) and (35)(- 15) are equivalent to (- 7) (-15) (- 5).

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

The complete question is this,

Which shows two expressions that are equivalent to (Negative 7) (Negative 15) (Negative 5)? (Negative 7) (Negative 75) and (Negative 1) (525) (Negative 1) (525) and (35) (Negative 15) (35) (Negative 15) and (115) (negative 5) (Negative 1) (525) and (115) (negative 5)

Answer:

negative

Step-by-step explanation:

:Done

Answer: m is slope and b is y intercept

Step-by-step explanation:

M is the slope and b is the y- intercept. Hope that helps.

Answer:

Multiplication

Step-by-step explanation:

Ik

Answer:

the answer would be 7:8 I hope this helps you :\

Step-by-step explanation:

Answer:

28 feet

Step-by-step explanation:

A monkey sits on a limb that is 25 feet above the ground

He swings up 10 feet

Climbs up 6 feet

He then jumps down 13 feet

Therefore the distance of the monkey from the ground can be calculated as follows

= 25 + 10 +6 - 13

= 41-13

= 28 feet

Answer:

A. 78.5m^2

Step-by-step explanation:

To find the area of a circle you have to do:

Area = πr^2

The diameter is 2.5 x 4 which equals 10 and radius is half the diameter, so 5. Now your equation would be:

Area = π5^2

Solve:

π x 5^2

5^2 = 5 x 5 = 25

π x 25

π ≈ 3.14

3.14 x 25 = 78.5

Answer:

π5^2 ≈ 78.5

78.5m^2

Answer:

Greatest to least...

4 to the power of 13, 14 2/5, 14.33

Step-by-step explanation:

I got this correct on my test

Answer:

30 apples for 5 fruit bowls

Step-by-step explanation:

if you divide 12/2, you get 6, and six is the rate of how many apples in each bowl, so 6 x 5 is 30.

Answer:

59%

Step-by-step explanation:

it says there is 200 animal and 82 are cats. we're trying to find the number of dogs. So subtract 82 from 200. that equals 118/200. 118/200 is 59%

If there are 200 animals at the rescue center, the percentage of animals that are dogs is 59%.

Given the following data:

To find the percentage of animals that are dogs:

[tex]Total \;animals = C + D[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]200 = 82 + D\\\\D = 200 - 82[/tex]

Dogs, D = 118 dogs.

Now, we can find the percentage of animals that are dogs:

[tex]Percent = \frac{D}{T}\times 100\\\\Percent = \frac{118}{200}\times 100\\\\Percent = 0.59 \times 100[/tex]

Percent of dogs = 59%

Read more: https://brainly.com/question/13282374

Answer:

the answer is A and D

because i did it

Step-by-step explanation:

A survey found that​ women's heights are normally distributed with mean 64.2 in. and standard deviation 4.2 in. The survey also found that​ men's heights are normally distributed with mean 70.1 in. and standard deviation 4.1 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum of 63 in. Complete parts​ (a) and​ (b) below

a) find the percentage of women meeting the height requirement

b) find the percentage of men meeting the height requirement

Answer:

a

P(57 <  X <  63) = 34.4%

b

P(57 <  X <  63) =  4.096%

Step-by-step explanation:

From the question we are told that

    The mean of women's height is [tex]\mu_ 1 = 64.2[/tex]

    The standard deviation is [tex]\sigma_1 = 4.2 \ in[/tex]

     The mean of men' height is [tex]\mu_2 = 70.1 \ in[/tex]

     The standard deviation of men's height is [tex]\sigma_2 = 4.1 \ in[/tex]

      The minimum height requirement is  a =  57 in

      The maximum height requirement is  b = 63 in

Generally the percentage of women meeting the height requirement  is mathematically represented as

     [tex]P(57 < X < 63) = P(\frac{ 57 - 64.2}{ 4.2} < \frac{X - \mu_1}{\sigma_1} < \frac{ 63 - 64.2}{ 4.2} )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

So

      [tex]P(57 < X < 63) = P( -1.7143 < Z <-0.2857)[/tex]

=>  [tex]P(57 < X < 63) = P ( Z <-0.2857) - P(Z < -1.7143)[/tex]

Generally from the z table the probability of  ( Z <-0.2857)  and  (Z <  -1.7143) is  

    P( Z <-0.2857)   =  0.38755

 and

    P(Z <  -1.7143) =  0.043237

So

   P(57 <  X <  63) = 0.38755  - 0.043237

=>  P(57 <  X <  63) = 0.3443

Converting to percentage

     P(57 <  X <  63) = 0.3443  * 100 =  34.4%

Generally the percentage of men meeting the height requirement  is mathematically represented as

     [tex]P(57 < X < 63) = P(\frac{ 57 - 70.1}{ 4.1} < \frac{X - \mu_1}{\sigma_1} < \frac{ 63 - 70.1}{ 4.1} )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

So

      P(57 <  X <  63) = P( -3.1951  < Z <-1.7317)

=>  [tex]P(57 < X < 63) = P ( Z <-1.7317) - P(Z < -3.1951)[/tex]

Generally from the z table the probability of  ( Z <-0.2857)  and  (Z <  -1.7143) is  

    P( Z <-1.7317)   =  0.041663

 and

    P(Z <  -3.1951 ) =  0.00069891

So

   P(57 <  X <  63) = 0.041663  - 0.00069891

=>  P(57 <  X <  63) = 0.04096

Converting to percentage

     P(57 <  X <  63) = 0.04096   * 100 =  4.096%

Answer:Therefore Natalie bought   3 water melons  and  10 strawberries

Step-by-step explanation:

Step 1

let watermelons be represented by w

and strawberries be represented by s

Step 2

5w +3s = $45.......eqn 1

w+s=13..........eqn 2

Making w subject of formulae and substituting in equation 2

w= 13-s

5(13-s) + 3s=45

65-5s+3s =45

65-45=5s-3s

20=2s

s=20/2=10

substituting s=10  in equation 2

w +10=13

w= 13-10

w=3

Therefore Natalie bought   3 water melons  and  10 strawberries

• Area of rectangle = 120 m²

• Breadth = 8m

• perimeter of the rectangle .

As we know that ,

• Area of rectangle = L× B

=> 120 = L × 8

=> L = 120/8

=> L = 15

Length of the rectangle is 15m .

Now ,

• perimeter of rectangle = 2 (L+B)

=> perimeter of rectangle = 2 (15+8)

=> perimeter of rectangle = 2 ( 23)

=> perimeter of rectangle = 46

Hence, the perimeter is 46 m .

I hope it will help you.

Regards.

Answer:

Step-by-step explanation:

[tex]\frac{x+2}{6}=\frac{2x-10}{8} \\\\Cross\:Multiply\\\\8x+16=12x-60\\\\\mathrm{Subtract\:}16\mathrm{\:from\:both\:sides}\\8x+16-16=12x-60-16\\\\Simplify\\8x=12x-76\\\\\mathrm{Subtract\:}12x\mathrm{\:from\:both\:sides}\\8x-12x=12x-76-12x\\\\Simplify\\-4x=-76\\\\\mathrm{Divide\:both\:sides\:by\:}-4\\\frac{-4x}{-4}=\frac{-76}{-4}\\\\Simplify\\\\x =19[/tex]

Answer:

D

Step-by-step explanation:

The reason is because A, B, C start at the origin and move constantly. D does not increase as much.

Answer:

Option (B)

Step-by-step explanation:

Let the amount of apricots purchased = a pounds

and the amount of bananas purchased = b pounds

Since, Andre purchased total amount of apricots and bananas = 5 pounds

Equation for the total amount will be,

a + b = 5

If the cost of bananas = $4 per pounds and the cost of apricots = $6 per pound

Total amount spent = $24.50

Therefore, equation for the expense will be,

6a + 4b = 24.50

Therefore, Option (B) will be the answer.

Answer:

:)

Step-by-step explanation:

B is correct

( I got it right in class thank you other person who answered)

Answer:

negative

Step-by-step explanation:

a posotive times a negative is a negative

Answer:

positive

Step-by-step explanation:

I hope this helps!

Answer:

Look at my photo to see where to graph this:

Do you see? your going to click - 5 and make it go horizontal

Answer:7) x= Radical 3 y=1

8)x=12    Y=6 radical 3

9) n= 4/radical 3 m=2( 4/radical 3) [you’ll have to rationalize these since you can’t have a radical in the bottom]

10) x= 7/2 radical 3. y=7/2

Answer:

22.7142857143

Step-by-step explanation:

i did it on a calculator

plz give brainliest

Answer:

159/7

Step-by-step explanation:

5 times 4=20

20+3=23

23-2/7

159/7

Answer:

Answer

= -7×5-2

= -35-2

=-37

Answer:

i got -37

Step-by-step explanation:

=-7x5+-2

=-35-2

=-37

Answer:

thanks for the free points don't do this to other people if you don't want it done to you.

Answer:

hiiiii ❤

Step-by-step explanation:

Answer:

x=$10000

Step-by-step explanation:

sorry if its wrong lol

$800 = $300 +.05(x), x being the amount that must be sold

Subtract 300 from both sides

$500= .05(x)

Divide by .05