The equation of the car rental company in the form y = kx is; y = 18.50x
The equation y = kx is such that;
y = dependent variablex = independent variablek = constant of proportionality.In essence; to determine the constant of proportionality, k in this case;
k = y/xSince the company charges, $55.50 for 3 days; we have;
By evaluation k = $55.50/3
k = 18.50.A constant rate of change means the variation in the dependent variable as dependent on the independent variable is constant
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Solve the system.
y-x=4
x+y=6
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
A store sells 4 cans of soup for $9. How much would it cost you to buy 5 cans of soup?
Answer:
$11.25
Step-by-step explanation:
4 x 5 = 20
9 x 5 = 45
20/4 = 5
45/5 = 11.25
Which expressions are equivalent to
-1/3(12-9+6x)
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
7x+1/3=2 2/3
Help me please
what is the answer for k=6x+100
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!
Rewrite the following equation in slope-intercept form.
y − 3 = 12( x + 4)
Answer:
y=12x+51
Step-by-step explanation:
Solve for r.
-70 +1 > 22
OR
102 +41 81
im stuck on this problem can someone help me? (see photo)
Answer:
I'm thinking the anwer is B
Step-by-step explanation:
I remember doing this problem before :)
an item is regularly priced at $20. It is on sale for 70% off the regular price. What is the sale price?
Answer:
6 dollars
Step-by-step explanation:
Hope this helps. :))
I don’t even know the answer to this one plz help me
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.
Plz solve. I will give 50 points for whoever gets it right.
Answer:
This is like multiplication you solve this question and then you can solve the equation
Convert an area 75000m2 to hectares
Answer:
10000m2 =1 hectare
75000m2 = 75000/10000 hectares
=75/10hectares
=7.5hectares
note:1 hectare =10 000m2
Hope this helps!!What does "?" equal?
Answer:320
Step-by-step explanation:
PLZ HELP 100 POINTS AND DUE TODAY I WILL BE SO GRATEFUL!!
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
What is the perimeter, in meters (m), of ∆PRT?
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
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PLEASE HELP ME 20 POINTS
Determine the x- and y-intercepts of the graph of X-4y=8
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
Last summers, students who worked earned an average of $80 a week with a standard deviation of $12. What percentage of students earned more that $104 per week?
Answer:
2.28%Step-by-step explanation:
Given:
μ = 80σ = 12x = 104Find z-score:
z = (x - μ)/σz = (104 - 80)/12 = 2Percent value corresponding to 2 as per z-table is 0.9772. This is corresponding to 97.72%.
Percentage of students earned more than $104:
100 - 97.72 = 2.281.Mr. Redding sells vehicles to 40% of the people that come to the sales lot. If 165 people came to the lot last month, how many vehicles did he sell?
Write an equation in point-slope form of
the line that has a slope of 2 and passes
through point (5,-3).
Answer:
(y+3)=2(x-5)
Step-by-step explanation:
The claim is that for 10 am body temp of males the mean is less than 98.6 f the sample size is n = 38 and the test statistic is t=-3.768
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.
What is the hypothesis?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.
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[tex]\bold{ \sqrt{12} \times \sqrt{12} }=[/tex]
[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 ~
[tex] \sqrt{12} \times \sqrt{12} [/tex][tex] \sqrt{2 \times 2 \times 3} \times \sqrt{2 \times 2 \times 3} [/tex][tex] \sqrt{2 \times 2 \times 3 \times 2 \times 2 \times 3} [/tex][tex]2 \times 2 \times 3[/tex][tex]12[/tex]
Please answer this. I need and will give
5
x
:
8
=
7
:
2
Calculate the value of x
.
Give your answer in its simplest form.
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.
need 8&9 urgently!!!
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.
The graph of the line y= 3 is a line that has which of the following characteristics?
O parallel to the y -axis
O passing through the point (5,0)
O parallel to the x-axis
O passing through the origin
The characteristics of the horizontal line graph, y = 3 is that it is:
c. parallel to the x-axis
Recall:
The equation of a horizontal line graph is represented as y = k; where k is the point on the y-axis intercepted by the line.Horizontal line graph is always parallel to the x-axis.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
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I need help plz it’s for school plz plz
Answer:
y = 3x + 1
Step-by-step explanation:
Geometry problem, Name the angle pair relationship and then determine which lines must be parallel based on the angles given If they do not prove lines parallel, write none.
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
how can i show the value that 1/10 of 0.5
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.
draw the graph of y=2x+3 on the grid
Suppose that the distance a car travels varies directly with the amount of gasoline it uses. A certain car uses 21 gallons of gasoline to travel 399 miles. How many miles can the car travel if it has 28 gallons of gasoline
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