A car rental company charges, y, for x, days. Days 3 4 5 6
Total Cost ($) $55.50 $74.00 $92.50 $111
Write an equation in the form of y=kx. Explain what the constant rate of change means in this context.

Answer:

x- intercept = 8 , y- intercept = - 2

Step-by-step explanation:

To find the x- intercept, let y = 0 in the equation and solve for x

x - 4(0) = 8

x - 0 = x

x = 8 ← x- intercept

To find the y- intercept, let x = 0 in the equation and solve for y

0 - 4y = 8

- 4y = 8 ( divide both sides by - 4 )

y = - 2 ← y- intercept

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The equivalent value is ~

[tex] \boxed{12}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve ~

Answer:

10000m2 =1 hectare

75000m2 = 75000/10000 hectares

=75/10hectares

=7.5hectares

1 hectare =10 000m2

Answer:

Step-by-step explanation:

5x:8=7:2

5x/8=7/2

By Cross Multiplication:

10x=56

x=56/10

x=28/5

If you need to ask any question,please let me know.

Answer:

8.x=7

7.x=12

Step-by-step explanation:

8.The two Base angles are equal

7. The exterior(outside) angle is equal to the sum of the two interior(inside) angles.

Answer:

(y+3)=2(x-5)

Step-by-step explanation:

Answer:320

Step-by-step explanation:

Answer:

6 gallons of gasoline

Step-by-step explanation:

1 gallon = 24 miles

you need to get 144 miles

144 divided by 24 = 6

there fore you need 6 gallons

hope it helps

Answer:

[tex]\frac{1}{10} * 0.5 = 0.05[/tex]

Step-by-step explanation:

The problem asks "what is the value of _____ of _______"

Step 1: Know The word "of" means to multiply.

So you just need to multiply the first number by the second number.

Example:

The value of 1/6 of 4 is 1/6 * 4 = 2/3.

The perimeter of a triangle is the sum of its dimensions

The perimeter of triangle PRT is 36 meters

Start by calculating the side length PT using the following equivalent ratios

[tex]\mathbf{QR : QS = PR :PT}[/tex]

So, we have:

[tex]\mathbf{3 : 8 = 6 :PT}[/tex]

Multiply 3 : 8 by 2

[tex]\mathbf{6 : 16 = 6 :PT}[/tex]

By comparing the ratios, we have:

[tex]\mathbf{PT = 16}[/tex]

So, the perimeter of triangle PRT is calculated using:

[tex]\mathbf{Perimeter = PR + RT + PT}[/tex]

Substitute values for PR, RT and PT

[tex]\mathbf{Perimeter = 3 + 3 + 7 + 7 + 16}[/tex]

Add up the figures

[tex]\mathbf{Perimeter = 36}[/tex]

Hence, the perimeter of triangle PRT is 36 meters

Read more about perimeters at:

https://brainly.com/question/6465134

Answer:

x=1 y=5

Step-by-step explanation:

y=4+x

x=y=6

x+4+x=6

y=4+x

2x+4=6

y=4+x

2x=2

y=4+x

x=1

y=4+x

y=5

x=1

Answer:

I'm thinking the anwer is B

Step-by-step explanation:

I remember doing this problem before :)

Answer:

See below

Step-by-step explanation:

The null hypothesis would be [tex]H_o:\mu\leq98.6[/tex] which would suggest the claim that the mean body temperature for males is equal to or less than 98.6°

The alternate hypothesis would be [tex]H_1:\mu>98.6[/tex] which would suggest that the mean body temperature for males is greater than 98.6°

The test statistic, t, is given to us as [tex]t=-3.77[/tex], rounded to 2 decimal places

We can determine the p-value by calculating tcdf(-1e99,-3.77,37). This means that we are finding the area less than the t-statistic with degrees of freedom equal to df=n-1=38-1=37. Therefore, the p-value is 0.000285 when evaluated.

Therefore, because our p-value is less than our significance level of α=0.01, there is no sufficient evidence to prove that the claim that for 10 AM body temperatures for males, the mean is less than 98.6°F, is true. We reject the null hypothesis, in other words, because the p-value suggests that it's unlikely that the null hypothesis is true.

The null hypothesis is rejected since the p-value shows that it is unlikely to be true.

In statistics, hypothesis testing is the process by which an analyst tests an assumption about a population's parameter. Using sample data, hypothesis testing is performed to examine the plausibility of a theory.

As per the given question, the required solution would be as:

A) Hypothesis test :

The null and alternative hypothesis is

Hi : u = 98.6

Ha : u < 98.6

B) Test statistic is t = -3.831

C) sample size, n= 31

degree of freedom,

df = n -1 = 31 - 1 = 30

P-value = p(t < -3.831 )

= 0.0003 (from t table)

d) P-value < 0.10, reject the null hypothesis.

is, support

As a result, because our p-value is less than our significance level of =0.01, there is insufficient evidence to support the assertion that the mean body temperature for men at 10 AM is less than 98.6°F.

Thus, we reject the null hypothesis since the p-value shows that it is unlikely to be true.

To learn more about the hypothesis click here:

https://brainly.com/question/18064632

#SPJ2

Answer:

-2x-1

Step-by-step explanation:

first you simplify what is inside the parenthesis to get: -1/3(6x+3)

then, you distribute the -1/3 to each of the numbers inside the parenthesis to get: -2x-1

Answer:

Step-by-step explanation:

Given:

Find z-score:

Percent value corresponding to 2 as per z-table is 0.9772. This is corresponding to 97.72%.

Percentage of students earned more than $104:

The characteristics of the horizontal line graph, y = 3 is that it is:

c. parallel to the x-axis

Recall:

The graph of the line, y = 3 is shown in the diagram attached below. From the graph, k is 3 (on the y-axis) and it is parallel to the x-axis.

Therefore, the characteristics of the horizontal line graph, y = 3 is that it is:

c. parallel to the x-axis

Learn more about horizontal line graph on:

https://brainly.com/question/15616095

Answer:

$11.25

Step-by-step explanation:

4 x 5 = 20

9 x 5 = 45

20/4 = 5

45/5 = 11.25

Answer:

x = k/6 - 50/3

Step-by-step explanation:

K=6x+100

--> Swap sides so that all variable terms are on the left hand side.

6x+100=k

--> Subtract 100 from both sides.

6x=k−100

--> Divide both sides by 6.

6x/6 = k-100/6

--> Dividing by 6 undoes the multiplication by 6.

x = k-100/6

--> Divide k−100 by 6.

Answer : x = k/6 - 50/3

Hope this helps you!

Answer:

y=12x+51

Step-by-step explanation:

Answer:

6 dollars

Step-by-step explanation:

Hope this helps. :))

Answer:

y = 3x + 1

Step-by-step explanation:

Answer:

This is like multiplication you solve this question and then you can solve the equation

Answer:

You would multiply -11 by 9/4

This is because they are on opposite sides of the equation, and 9/4 is connected to a variable.

Answer:

see below

Step-by-step explanation:

a) 1 = 4 they are corresponding angles when j and k are parallel

b) 3 + 4 = 180 these just lies on same straight line and they add up to 180 so none

c) 5 + 7 = 180 are consecutive interior angles when k and l are parallel

d) 6 = 7 they are alternate interior angles when k and l are parallel

and refer this link for theory on this topic

https://www.ixl.com/math/lessons/transversals-of-parallel-lines

Answer:

A) 15(20x14) = 4,200

Step-by-step explanation:

20 pounds each day per horse

so 2 weeks is 14 days

which means 20x14

then there are 15 horse

so 15(20x14)

4,200