Answer:
The price per gallon of gas with a $7 car wash is $3.19
Then if you purchase x gallons of gas and also pay for the car wash, the total cost is:
C(x) = $7 + $3.19*x
In the case that you do not pay for the car wash, the cost per gallon is $3.39
Then the cost for x gallons of gas in this case is:
K(x) = $3.39*x
When is it worth it to buy the car wash?
We need to sett the equations:
C(x) = K(x)
This means that you pay exactly the same in both cases, but in one ( C(x)) you get the car wash and in the other not.
Then we need to solve:
$7 + $3.19*x = $3.39*x
$7 = ($3.39 - $3.19)*x = $0.20*x
$7/$0.20 = x = 35
Then for 35 gallons, is worth to buy the car wash.
In the case where the car wash costs $2, then the equation C(x) becomes:
C(x) = $2 + $3.19*x
Then if we solve the same equation:
C(x) =K(x)
$2 + $3.19*x = $3.39*x
$2 = ($3.39 - $3.19)*x
$2 = $0.20*x
$2/$0.20 = x
10 = x
Then for 10 galons is whort buy the car wash.
Flight 101, headed straight north, climbed to 30,000 feet and started its cruising speed of 360 mph 10 miles south of the point directly above our location. Flight 222, headed straight west, already cruising at 30,000 feet at 300 mph, was 5 miles east of the point above us at that time. Clearly, the paths of the planes intersect directly above us. Do they collide? Parametrize the linear paths and give the times when they are at the intersection point. By how many seconds do they miss each other?
Answer:
The answer is "40 second".
Step-by-step explanation:
Flight 101 headed north straight, ascended to a speed of 30,000 feet, and began a 360 mph cruising speed 10 kilometers from the point above our place. Flight 222, heading right west, was at the same time five miles east of the above-used spot already at 30 000 feet at 300 mph.
[tex]flight\ 101: x=0;\\\\y-10 +360 t\\\\10=360 t\\\\t=\frac{1}{36} \ hrs\\\\flight\ 222: x=5-300t\\\\ y=0\\\\5=300 t\\\\t=\frac{1}{60} \ hr\\\\[/tex]
Their [tex]\frac{1}{36}-\frac{1}{60}=\frac{1}{90}\ hr=40[/tex]seconds are missing each other.
If 40% of a number is 28, find 10% of that number.
Answer: 7
Step-by-step explanation:
The point (-4, 6) is a solution to which of the following system of
inequalities?
x + 2y > 8 and - 4x – y > 10
x + 2y < 8 and - 4x - y = 10
x + 2y = 8 and - 4x - y s 10
x + 2y = 8 and - 4x – y < 10
Answer:
x + 2y < 8 and - 4x -y = 10
Step-by-step explanation:
make x the subject of the formula then collect like terms then subtract and make them cross the equally sign
The given point (-4, 6) is the solution of the system of equations x + 2y = 8 and - 4x - y = 10. Option C is correct.
Gvien that,
To determine the system of inequality and equation where point (-4, 6) lies.
Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
here,
= x + 2y
where x = -4 and y = 6
= -4 + 12
= 8
So it matches with the equation given in option C
Now,
=-4x - y
Substitute the point
= -4 × -4 - 6
= 16 - 6
= 10
So it matches with the equation given in option C
Thus, the given point (-4, 6) is the solution of the system of equations x + 2y = 8 and - 4x - y = 10. Option C is correct.
Learn more about inequality here:
brainly.com/question/14098842
#SPJ2
Brainliest for answer
Answer:
C. 8 and -32
Step-by-step explanation:
-2 → 8 → -32 → 128
-4 -4 -4
f(n) = -2 • -4^(n–1)
The common ratio is -4, and the first term of the sequence is -2.
Where f(n) is the nth term of the sequence.
??? please help i cant do it
Answer: 111 degrees
Step-by-step explanation:
all angles added up together is 360 degrees
vertical angles = 180 degrees -> 3x+15=R, 2x+5= missing angle
360 = (2x+5)+(2x+5)+(3x+15)+(3x+15)
360 = 10x+40
320 = 10x
32 = x
plug it in
3x+15 -> 3(32)+15 = 111 degrees
HeLp PlEaSe ThAnKs! THIS IS A GRADE (SHOW WORK)
Answer:
1) 5400
2) 113.04
Step-by-step explanation:
40 x 135 = 5400
3.14 x 6² = 113.04
Answer:
A.
area of rectangle=l×b=135×40=5400ft²
B.
diameter=36ft
area =1/4×π×d²=1/4×π×36²=324π 0r 1017.87ff²
Create a table of values that could represent the function f(x) = 3x + 4. Justify your response.
F(x)=3/2 x2-4+C
I looked it up
Suppose one serving of Vegetables is 3/4 cup. How many servings are there in 35 cups?
9514 1404 393
Answer:
46
Step-by-step explanation:
The number of servings is ...
(35 cups)/(3/4 cup/serving) = (4/3)(35) servings = 46 2/3 servings
There are 46 full servings of Vegetables in 35 cups.
Find the x in each triangle
HELP NOW!!!! PLSSS
Answer:
8 CM
Step-by-step explanation:
(Hypotenuse)²=(Base)²+(Height)²
10²=X+6².
100=X+36
100-36=X ( by transposition method )
√64=X
8=X
what is the median of 17, 12, 28, 21, 14, 74, 32, 14, 25, 23
Answer:
The median is 22.
Step-by-step explanation:
HELP DUE NOW BRAINLEST AND A THANKS
Answer:
its c bc it starts at 30
Step-by-step explanation:
Histogram help!(look at the picture)The histogram below shows the admission cost of some theme parks across the country.How many theme parks have an admission cost between $7 and $22?
12 theme parks
5 theme parks
18 theme parks
8 theme parks
Answer:
12
Step-by-step explanation:
5+7=12
5 have 7-14
7 have 15-22
The final answer is 12
Helene paid back $100 in the Month 1 of her loan. In each month after
that, Helene paid back $50. The graph shows the sequence. Write an
explicit rule, using function notation, to model the situation.
Find the 4th term in the sequence
with the following definition:
a1 = 0
an = 2(an-1 -3)
Answer:
-42
Step-by-step explanation:
[tex]a_{1}=0\\a_{n}=2(a_{n-1}-3)\\a_{2}=2(a_{1}-3)=2(0-3)=-6\\a_{3}=2(a_{2}-3)=2(-6-3)=-18\\a_{4}=2(a_{3}-3)=2(-18-3)=-42[/tex]
please help me out I'll give you a virtual high five
Answer:
[tex] \red{ \bold{\frac{2x(x - 1) + 3(2x - 3)}{(2x + 3)(2x - 3)(x - 1)} }}[/tex]
Step-by-step explanation:
[tex] \frac{2x}{4 {x}^{2} - 9 } + \frac{3}{2 {x}^{2} + x - 3} \\ \\ = \frac{2x}{(2 {x})^{2} - {(3)}^{2} } + \frac{3}{2 {x}^{2} - 2x + 3x - 3} \\ \\ = \frac{2x}{(2x + 3)(2x - 3)} + \frac{3}{2 {x}(x - 1) + 3(x - 1)} \\ \\ = \frac{2x}{(2x + 3)(2x - 3)} + \frac{3}{(x - 1) (2x + 3)} \\ \\ = \frac{2x(x - 1)}{(2x + 3)(2x - 3)(x - 1)} + \frac{3(2x - 3)}{(x - 1) (2x + 3)(2x - 3)} \\ \\ \purple{ \bold{ = \frac{2x(x - 1) + 3(2x - 3)}{(2x + 3)(2x - 3)(x - 1)} }}[/tex]
Simplify:
12(5 + 5)2 - 17 +3
Answer:
My first answer: 5 + 5 = 10 x 12 = 120 x 2 = 240 - 17 = 223 + 3 = 226
If not then,
12 x 5 + 12 x 5 = 120 x 2 = 240, 17 + 3 = 20, 240 - 20 = 220
Step-by-step explanation:
Numbers in parenthesis are evaluated first.
Answer:
1186 --- Sorry if I'm wrong -_-
Step-by-step explanation:
Add: 5 + 5 = 10
Exponentiation: the result of step No. 1 ^ 2 = 10 ^ 2 = 100
Multiple: 12 * the result of step No. 2 = 12 * 100 = 1200
Subtract: the result of step No. 3 - 17 = 1200 - 17 = 1183
Add: the result of step No. 4 + 3 = 1183 + 3 = 1186
pls help me giving brainless. find all angle measures. Assume each truss is symmetric. All of the roofs have a total top peak angle of 120 degrees
Answer:
Pls mark me branliest
A random sample of 436 mothers in the United States found that their average age at first birth was 25.9 with a standard deviation of 4.5. A random sample of 364 mothers in France found that their average age at first birth was 28.6 with a standard deviation of 9.5. We will be testing if the mothers give birth to their first birth in the United States are at younger ages than those in France.
Required:
Calculate the degrees of freedom for this hypothesis test.
Answer:
Degree of freedom = 798
Step-by-step explanation:
Given that,
First random sample, n₁ = 436
Second random sample, n₂ = 364
So,
Degree of freedom = n₁ + n₂ - 2
= 436 + 364 - 2
= 798
⇒Degree of freedom = 798
helppppppppppp meeeeeeeeeeee!!!
Answer:
i think it is 3
Step-by-step explanation:
Determine if each statement is True or False. If False, determine what needs to be
changed to make the statement True.
a. In 5x - 8,5 is the constant.
b. In x - 6.5, x is the variable.
C. In 9y + 38, 38 is the constant.
Answer:
a. False. A constant is a number on it's own, and 5 would be the coefficient of x. 8 would be the constant.
b. False. -6.5 would be the constant, since it's on its own. But actually, x would be carrying on a coefficient of 1. Letters are variables, not constants.
c. True.
Find the solutions of :
-3X + 2 2 14
Give 5 solutions
Answer:
-3(x - 738)
Step-by-step explanation:
-3x+2214
-3x+3 . 738
-3(x-738)
The picture shows a carousel. The carousel spins while the horses move up and down. A student determines to
each horse completes one up-down cycle in 30 seconds. The student rides a horse on the carousel for 2 minute
which equals 120 seconds.
raal
Answer:
4 times
Step-by-step explanation:
Note,
60 seconds = 1 minute120 seconds = 2 minutes (60*2).Since the student rode a horse for 120 seconds, to find the number of times the student riding the carousel completed the up-down cycle, we divide it by 30 seconds (which is the duration for the horse to complete one up-down cycle) because the student would be having the same duration as the horse because he was on top the horse.
Hence, we have;
120/30 = 4
What is the probability of gettting a odd number out of 1 2 3 4
Answer:
0.5
50%
1/2
Step-by-step explanation:
what's the range of 7,5,7,8,6
Answer:
3
Step-by-step explanation:
Define the range of a list of numbers.
I'm not %100 percent certain because I learned that a long time ago.
Answer: 3
Step-by-step explanation:
The range is the difference between the largest and smallest numbers. The midrange is the average of the largest and smallest number.- source
SOO the first thing we have to do is find the smallest and largest numbers : 5 (smallest), 8 (largest).
Then we have to substract5 from 8 (8-5= 3)
The range is 3!
If you need extra help you can go to the site khanacademy as they give educational videos and practice on how to do the standards. Ever since I started using it I have become an A students.
I hope this helps and may God bless you! Have a nice day, bye!
Write the word sentence as an equation. Then solve the equation.
A number k increased by 7 is 34.
An equation that represents this word sentence is
.
The solution is k=
.
Answer:
27
Step-by-step explanation:
Here's the complete question:
Write the word sentence as an equation. Then solve the equation. A number k increased by 7 is 34.
An increase in k simply means that there's an addition. This will be:
k + 7 = 34
k = 34 - 7
k = 27
Therefore, the value of k is 27
Step-by-step explanation:
Answer:
k = 34 - 7
k = 27
Step-by-step explanation:
increased by 7 = 34 which is means,
this number was 27
The solution is Equation: k = 34 - 7
Solution: k = 27
Jenny has $120 to spend on parking and admission to the county fair. The parking will cost $9, and the
admission will cost $18.50 per person, including tax
Answer:
what is your question to help you-what is the area and perimeter of the trapezoid.
-what are the area and perimeter of a trapezoid that is similar to this one but reduced by a linear scale factor of 1/3.
- will give you brainliest if it’s correct
Answer:
I think its 42 can you pls give brainliest I wanna level up RSM SUCKS
Step-by-step explanation:
Does 1/6, -3, square root of 7 or 4.5 come first when
the numbers are listed from least to greatest?
Explain.
From least to greatest:
-3, 1/6, √7, 4.5
-3 comes first as the least value because it is negative. It does not matter if the numbers are very small, as long as the value is positive, -3 will always be the least.
order of operations problem please help
Answer:
36 .......................
Answer:
1/2
Step-by-step explanation:
Two angles in a triangle have measures of 35 and 73
What is the measure of the third angle?
Hello!
This is a question relating the interior angle sum of a triangle.
The interior angle sum of a triangle will be 180 degrees.
Since we are given two angle measures, we can set up an equation to find the unknown angle measure.
[tex]35+73+x=180[/tex]
[tex]x=180-35-73[/tex]
[tex]x=72[/tex]
The third angle's measure is 72 degrees.
Hope this helps!
Answer:
(A) P E X
Step-by-step explanation: