6. You are planning a camping trip. The campsite you want to rent charges a $15 fee
to reserve the site, plus an extra $3 per day.
Part I: Define your variables and write a linear equation in slope-intercept form to
represent the cost of the campsite. (4 points)
Part II: Find the y-intercept and interpret it. (2 points)
Part III: Graph the equation for the cost of renting the campsite. Label three
points on your graph and indicate the slope. (4 points) Place the given line on the
graph to represent your equation.
Answer:
y=3d+15
y intercept is 15
slope is 3
Step-by-step explanation:
to graph start at 15 on the y axis. then go up 3 points and over one point. keep doing this until you have a straight line.
the distance between the points (-4, -3) and (-8, 6) to the nearest whole number.
Answer:
X1=-4,Y1=-3,X2=-8,Y2=6
=√(X2-X1)^2+(Y2-Y1)^2
=√(-8-(-4))^2+(6-(-3))^2
=√(-4)^2+(9)^2
=√(16+81)
=√97units
|2x +4| = 12; =
Can someone else me solve this please
[tex]|2x+4| = 12\\\\\implies 2x +4 = 12 ~~ \text{or}~~ 2x +4 = -12\\\\\implies 2x = 8 ~~ \text{or}~~ 2x = -16\\\\\implies x = 4 ~~ \text{or} ~~ x = -8[/tex]
A car slows down at -5.00 m/s2 until it comes to a stop after traveling 15.0 m. How much time did it take to stop.
Answer:
2.45 seconds to the nearest hundredth.
Step-by-step explanation:
Acceleration a = -5, distance s = 15, time = ?.
Final velocity = v = 0.
We need to use the equations of motion under constant acceleration.
v^2 = u^2 + 2as where u is the initial velocity
0 = u^2 + 2*-5*15
u^2 = 150
so u = √150
Now we use v = u + at:
0 = √150 - 5t
t = √150/5
t = 2.45 seconds.
1 1/3 x 5 Multiply and answer with a mixed number in the simplest form.
Answer: 6 2/3
4/3 * 5
20/3
6 2/3
PLEASE ANSWER ASAP
Which graph
Answer:
graph 4
Step-by-step explanation:
the triangle has a right angle at the middle letter.
In AABC, Ĉ = 40°, BC = 4 cm. Find AB.
i don't know the answer to log4(x+6)=2
Answer:
10
Step-by-step explanation:
log4(x+6)=2
x+6=4²
x=4²-6
x=10
Answer:
[tex]x=10[/tex]
Step-by-step explanation:
[tex]log_4(x+6)=2[/tex]
[tex]4^{log_4(x+6)}=4^2[/tex]
[tex]x+6=16[/tex]
[tex]x=10[/tex]
Remember that logarithmic functions are the inverses of exponential functions. Therefore, we raise the base of the logarithm to the logarithm to undo the operation.
If there were 24 coins in all, how many more gold coins than copper coins were in the jar?
Answer: 8 (I think)
Step-by-step explanation:
There are 24 coins in all. 1/2 gold coins and 1/6 copper coins.
1/2 of 24 is 12
1/6 of 24 is 4
12 - 4 = 8
So there are 8 more gold coins than copper.
Use the information to answer the question.
A crew is loading crates onto a train. They can load 4 crates every 1.25 minutes. Each crate weighs 160 pounds.
C
=
At that rate, how many minutes would it take the crew to load crates with a total weight of 2400 pounds? Round the answer to the nearest
tenth. Enter the answer in the box.
minutes
Plz help me no links
Answer:
4.7
Step-by-step explanation:
2400/160 =15 crates
4/1.25=3.2 crates a minute
15/3.2=4.68 minutes
4.7 because it rounds up
To load 2400 pounds of crates crew will take around 4.69 minutes.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Given,
Crew can load 4 crates every 1.25 minutes
4 creates ⇔ 1.25 minutes
Given,
1 crate = 160 pounds
So,
4 crate = 640 pounds
So,
640 pounds ⇔ 1.25 minutes
1 pound ⇔ 1.25/640 minutes
To load 2400 pounds
2400 pounds ⇔(1.25/640)2400 minutes
2400 pounds ⇔ 4.6875 minutes.
Hence " To load 2400 pounds of crates crew will take around 4.69 minutes".
For more information about ratio and proportion,
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Ed is on a road trip. He has already traveled 226 miles and is driving at a rate of 66 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 638 total miles?
Answer:
[tex]\purple{\rule{1000pt}{900000pt}} [/tex]
The equation is
[tex]\\ \sf{:}\Rrightarrow 66x+226=639[/tex]
[tex]\\ \sf{:}\Rrightarrow 66x=413[/tex]
[tex]\\ \sf{:}\Rrightarrow x\approx 6[/tex]
if the nth term is 6-2n^2 what is the 4th term?
Answer:
a₄ = - 26
Step-by-step explanation:
Substitute n = 4 into the nth term formula
a₄ = 6 - 2(4)² = 6 - 2(16) = 6 - 32 = - 26
.RP.1.3 | JoAnn bought 2 shirts for $13.50 each and a purse for $8.
The sales tax was 6%. What is the total she paid for her
purchase, including tax?
Answer:
The answer is $22.79. Hope this helped! If the answer is wrong i'm super sorry!
Step-by-step explanation:
$13.50 + $8 = $21.50
0.06 x 21.50 = $1.29
$1.29 + $21.50 = $22.79
if the interest rate is lower than the inflation rate, what happens for those who put money in a savings account.
Answer: Savers Lose
Step-by-step explanation: I had this question
pls someone help if you do all 3 i'll give you brainliest
Solve for “x.”
9x = 912.6
Answer:
If it's not what You are looking for type in the equation solver your own ... is 12 percent of 912.6 - step by step solution || 2x-9=2x-9 || 2(x-3)=4(x+2) ...
Step-by-step explanation:
sorry if im wrong
How to solve this question?
Answer: -3
Step-by-step explanation:
The axis of symettry is basically what cuts the parabola perfectly in half. In this case draw a horizontal line right through -3 on the x-axis
Answer:
[tex]x=-3[/tex]
Step-by-step explanation:
A parabola's axis of symmetry is located at the line [tex]x=h[/tex] and essentially divides the parabola in half. The vertex is [tex](-3,4)[/tex] so the axis of symmetry is located at the line [tex]x=-3[/tex]
If s(x)=x-7 and t(x)=4x^2-x+3, which expression is equivalent to (t x s) (x)
Which sign makes this number sentence true?
|-56|___ 1561
A)>
B)<
C)=
D) X
The absolute value of -56 is 56
the new sentence is 56____1561
A is not true because 56 is not bigger then 1561 if you count and put on number line
B is very true if you look at A. 56 is smaller than 1516
So, the answer is a
I hope this helped if it's wrong, plz blame me.
Ps.Brainlist would help a lot
Answer:
B
Step-by-step explanation:
The | | around -56 means absolute value or the total of the number, which in this case is 56, therefore 56 is less than 1561.
Multiplying radicals. Simplify
Answer:
9√10
Step-by-step explanation:
3√15 x 6 = √90
3√90 = 3 x √9 x √10
3 √90 = 3 x 3 √10 = 9√10
I have a system of equations I don’t remember how to do :|
I forgot how to solve this, and I forgot how to find the slope…
Answer:
x + y = 3 (infinite solutions)
Step-by-step explanation:
You observe that all of the numbers in the second equation are multiples of 3. When you divide the second equation by 3, it becomes identical to the first equation. The equations are said to be "dependent."
That means both equations graph as the same line, so will intersect at every point on the line. The system of equations has an infinite number of solutions.
_____
Additional comments
There are a number of ways to solve a system of equations. Two methods commonly taught are "substitution" and "elimination". Either one works here.
We can solve the first equation for y by subtracting x from both sides:
x +y -x = 3 -x
y = -x +3 . . . . . . simplify
In this form, the slope is the coefficient of x. Here, it is -1.
This expression for y can be substituted into the other equation:
3x +3(-x +3) = 9
3x -3x +9 = 9 . . . . . eliminate parentheses
9 = 9 . . . . . . . . . . . simplify
This is true for all values of x or y. There are an infinite number of solutions.
Answer:
There are infinite numbers of solution.
Step-by-step explanation:
Question :[tex]\begin{gathered}\begin{gathered}\begin{gathered}\small\begin{cases}\sf{x + y= \bf{3}} \\ \\ \sf{3x + 3y= \bf{9}}\end{cases} \end{gathered}\end{gathered}\end{gathered}[/tex]
Solution :Solving the question and finding the final answer.
Here,
x + y = 3 . . . (i)3x + 3y = 9 . . . (ii)━━━━━━━━━Now, from equation (i),
[tex]\twoheadrightarrow{\sf{x + y = 3}} [/tex]
[tex]\twoheadrightarrow{\sf{x = 3 - y}} [/tex]
━━━━━━━━━Now, putting the value of x in equation (ii)
[tex]\begin{gathered} \qquad{\longrightarrow{\sf{3x + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{3(3 - y) + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 3y + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 0 = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 0 = 9}}} \\ \\ \qquad{\longrightarrow{\sf{\underline{\underline{\red{9 = 9}}}}}}\end{gathered}[/tex]
This statement is true for all values of x and y.
So, there are infinite numbers of solution.
[tex]\underline{\rule{220pt}{3pt}}[/tex]
helpppppppppppppppppp
Answer:
IP information is attached to each packet, and this information helps routers to send packets to the right place. Every device or domain that connects to the Internet is assigned an IP address, and as packets are directed to the IP address attached to them, data arrives where it is needed.
Step-by-step explanation:
hope i helped!
Which mathematical statement represents “17 more than a number is 26”?
17 greater-than 26
n + 17 = 26
17 less-than 26
26 + n = 17
Answer:
n + 17 = 26
Step-by-step explanation:
Let's replace the sentence with mathematical terms:
17 more than a number is 26
More than means addition. The answer will also be a sum.
17 + a number is 26
Since the number is not specified, it will be represented by a variable. In this instance, the variable is n.
17 + n is 26
The equal sign will replace the word "is".
17 + n = 26
Now, we can use the associative property of addition.
17 + n = 26 into n + 17 = 26
Which mathematical statement represents “17 more than a number is 26”?
Answer:
n + 17 = 26
Step-by-step explanation:
17 more than a number means that you are adding 17 to a number (n) to equal 26.
If you take 17 away from each side you get n = 9
9 + 17 = 26 is a true statement so the equation is correct.
A machine prints 8 banners in 120 seconds. How many seconds does it take to print one banner?
Answer:
15 seconds
Step-by-step explanation:
Number of seconds taken to print 8 banners = 120 seconds
Number of seconds taken to print 1 banner will be x seconds
Banners Seconds
8 120
1 x
By cross multiplication, we get
=> 120*1/8 = x seconds
=> 120/8 = 15 seconds
It takes 15 seconds to print one banner.
Hope you got it!!
The domain of function f is (-00, 6) U (6,00). The value of the function approaches -o as x approaches -00, and approaches oo. Which function could be function ?
Answer:
a
Step-by-step explanation:
The function is [tex]F(x) = \dfrac{x+6}{x-6}[/tex]. Option C is correct.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The value of the function approaches -∞ as x approaches -∞ is,
[tex]F(x) = \dfrac{x+6}{x-6}[/tex]
The graph of the function is attached with the answer which is showing the approach of the function in the x-y plane.
Therefore, the function is [tex]F(x) = \dfrac{x+6}{x-6}[/tex]. Option C is correct.
To know more about functions follow
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Last year, the ratio of the ages of Mel and her friend is 3:4. Next year, the ratio will be 4:5. Form two simultaneous equations using the information above, and solve them by using the elimination method. Hence find their ages now.
Answer:
Above is the answer, coupled with detailed step-by-step explanations. Thank you!
WILL MARK BRAINLIEST IF
- Answer is correct
- Answer is detailed
WILL NOT MARK BRAINLIEST IF:
-Answer contains links
-Answer not detailed
-Answer incorrect
(P.s: must be 2 answers pls)
Thanks
Answer: 65£40625
Step-by-step explanation:
We know that there are already 150L of oil in the tank. So if we want to fill the tank, we need to add 1250L to fill the rest of the tank. The price of 1L of oil is 80.5p, which can be represented as [tex]\frac{80.5p}{L}[/tex]. If we want to know the price of the remaining 1250L, then we can multiply the denominator by 1250 because that way we can find the cost in p of 1250L. Now if you want to keep the ratio of the original equation to the cost of 1250L equal (or just keeping both expressions equal), then we also have to multiply the numerator by 1250. So, we then get [tex]\frac{(1250)(80.5p)}{(1250)(L)}[/tex]=[tex]\frac{100625p}{1250L}[/tex]. So the cost of 1250L is 100625p.
Now, applying the discount. To apply a discount x to some value y:
x - xy, where x = original value, y = discount.
So, substituting the original value of 100625p for x and the discount 6.5% = 0.065 for y, we get: (100625) - [(100625)(0.065)]. The question, however, doesn't ask for the discounted price, but rather the discount itself, or how much money you save. The expression xy gives us just that.
So, (100625)(0.065) gets us to to 6540.625p = 65£40625.
The First step to this problem is to find how much oil He needs.
In order to do that, we have to subtract 1400 L by 150 L
1400-150=1250
The second step to this problem is to calculate the total price (p) of the Oil that is needed
In order to do that, we have to find the price of the oil per liter which is 80.5p
Take out the P so it won't be hard
80.5x1250=100625p
The third step to this question is to Multiply the number: 100625 by 6.5/100. Given the fact that we convert 6.5% to Fraction
100635x6.5/100= 6541.275p
So, the answer is 6541.275
I hope this helps, if it's wrong plz blame me
Have a nice day (:
Please help I’ll mark brainliest
Answer:
y= 2, x= -1 (-1, 2)
Step-by-step explanation:
y= x + 3
y= -x+1
substitute y= -x+1
-x + 1 = x + 3
isolate x
-x + 1 = x + 3
x + 1 - x = x + 3 - x
After isolating x you'll get x = -1
for y= - x + 1
y= - (-1) + 1
simplify y = 2
solution:
y= 2, x= -1 (-1, 2)
Samir sold 4 of his old Star Leaper video games at Trading Post Game Shop. Before he left, he spent $23.65 of his earnings on a controller. Samir had $6.35 remaining.
Which equation can you use to find the amount of money, v, Samir received for each video game? Also, can you solve for v?
The equation you can use to find the amount of money, v, Samir received for each video game is;
4v - 23.65 = 6.35 and v = $7.5
Algebraic word problemsSamir sold 4 oh his old star leaper video games.
He spent $23.65 of his earnings on a controller and has $6.35 left.If the amount received for each video game is v, the total cost of the 4 video games is; 4v
He spent $23.65 out of 4v and is left with $6.35Thus, this equation is;
4v - 23.65 = 6.35
Solving this gives;
v = $7.5
Read more about algebra word problems at; https://brainly.com/question/21405634
Pls help! Will mark Branliest!! 50 points for whoever answers!!!!!!
Answer: See below
Step-by-step explanation:
Isolate x for x-2y+2z=9
3x=9+2y
[tex]x=\frac{9+2y}{3}[/tex]....(1)
Substitute (1) into the 2nd equation
[tex]\begin{bmatrix}-\frac{9+2y}{3}+3y=-4\\ 2\cdot \frac{9+2y}{3}-5y+3z=16\end{bmatrix}[/tex]
[tex]\frac{3\left(-9+7y\right)}{3}=3\left(-4\right)[/tex]
7y=-3
y=-3/7
Substitute y=-3/7
[tex]\begin{bmatrix}3z+\frac{18-11\left(-\frac{3}{7}\right)}{3}=16\end{bmatrix}[/tex]
[tex]\begin{bmatrix}3z+\frac{53}{7}=16\end{bmatrix}[/tex]
Isolate z by substituting it
[tex]3z+\frac{53}{7}=16[/tex]
[tex]\frac{3z}{3}=\frac{\frac{59}{7}}{3}[/tex]
[tex]z=\frac{59}{21}[/tex]
For x =9+2y/3 substitute z=59/21 and y=-3/7
[tex]x=\frac{9+2\left(-\frac{3}{7}\right)}{3}[/tex]
[tex]x=\frac{19}{7}[/tex]
[tex]x=\frac{19}{7},\:z=\frac{59}{21},\:y=-\frac{3}{7}[/tex]
Answer:
(1, - 1, 3 )
Step-by-step explanation:
x - 2y + 2z = 9 → (1)
- x + 3y = - 4 → (2)
2x - 5y + 3z = 16 → (3)
Add (1) and (2) term by term to eliminate x
y + 2z = 5 → (4)
Multiply (2) by 2
- 2x + 6y = - 8 → (5)
Add (3) and (5) term by term to eliminate x
y + 3z = 8 → (6)
Subtract (6) from (4) term by term to eliminate y
- z = - 3 ( multiply both sides by - 1 )
z = 3
Substitute z = 3 into (4)
y + 2(3) = 5
y + 6 = 5 ( subtract 6 from both sides )
y = - 1
Substitute y = - 1, z = 3 into (1) and solve for x
x - 2(- 1) + 2(3) = 9
x + 2 + 6 = 9
x + 8 = 9 ( subtract 8 from both sides )
x = 1
solution is (1, - 1, 3 )