Complete question :
Sathish is going on a 2100-kilometer road trip with 2 friends, whom he will pick up 150 kilometers after he begins the trip and drop off when there are 150 kilometer remaining. The car consumes 6 liters of gas for every 100 kilometers, and gas costs $1.20 per liter.
Sathish will pay for all of the gas when he is alone in the car, but he and his friends will split the cost evenly when they are together.
How much will Sathish pay for gas?
Answer:
$64.8
Step-by-step explanation:
Given that :
Total length of trip = 2100 km
Length of journey with Satish alone in the car:
(150km) beginning + (150km) ending = 300km
Length of journey with Satish and 2 friends :
2100 km - 300 km = 1800 km
Gas consumption:
6 liters per 100km
Cost of gas = $1.2 / litre
Consumption when Satish is alone :
(6 litres /100 km) * 300km = 18 litres
Cost = $1.2 * 18 = $21.6
Consumption with his 2 friends :
(6 litres /100 km) * 1800 km = 10800 / 100 = 108 litres
Cost = $1.2 * 108 = $129.6
Since amount is shared equally :
Amount paid by sattish = $129.6 / 3 = $43.2
Hence, total amount paid by Sattish is :
$21.6 + $43.2
= $64.8
Answer:
64.80 or 64.8
Step-by-step explanation:
whatever works <333
How do I figure this out?
Simplify the following expression:
-10w + 3 + 12j
Answer:
=12j−10w+3
Step-by-step explanation:
1/2 x = 14
What is x
Answer:28
Source:trust me bro
Answer:
1/2 x 28 =14 X=28
Step-by-step explanation:
identify the measurements of the missing angles
Answer:
-4 + 12x = 80
11x + 3 = 80
Step-by-step explanation:
-4 + 12x
-4 + 12 (7)
-4 + 84
80
11x + 3
11 (7) + 3
77 + 3
80
what type of slope does this line have
Answer:
yeah it is a positive slope
Step-by-step explanation:
Identify the correct definition of the term. Angle
Answer:
In geometry, an angle can be defined as the figure formed by two rays meeting at a common end point. An angle is represented by the symbol ∠. ... Angles are measured in degrees, using a protractor.
Step-by-step explanation:
find the missing side
C=
Answer:
C = 10
Step-by-step explanation:
[tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]
[tex]6^{2}[/tex] + [tex]8^{2}[/tex] = 100
[tex]\sqrt{100}[/tex] = 10
what is decimals -4.8(5.3)
Answer:
-25.44
Step-by-step explanation:
What is the actual height of the lighthouse
Answer:
239 Feet
Step-by-step explanation:
Answer:
Lighthouse 82.5 metres (271 ft)
Step-by-step explanation:
95°
x°
y°
z°
55°
please fast give me correct ans with full process i will mark u as brainlist
Answer:
Step-by-step explanation:
Answer this question and if right ill make branilliest
Answer:
I think that removing (1, 3) would make the most sense
Answer:
(1,3)
Step-by-step explanation:
Because (1,-2) and (1,3) have the same x value, they do not pass verticle line test, so it is not a function.
1. Which of the following is a rational number? (4 points)
197, 198, 199, 100
197
198
199
V100
Answer:
[tex]the \: rational \: number \: is \: \sqrt{100} [/tex]
Step-by-step explanation:
The reason why
[tex] \sqrt{97} [/tex]
isn't a rational number is because, when simplified, it results in 9.848857802.... its decimal doesn't terminate(stop).
The reason why
[tex] \sqrt{98} [/tex]
isn't a rational number is because, when simplified, it results in 9.899494937.... it's decimal doesn't terminate(stop).
The reason why
[tex] \sqrt{99} [/tex]
isn't a rational number is because, when simplified, it results in 9.949874371.... it's decimal doesn't terminate(stop).
The reason why
[tex] \sqrt{100} [/tex]
is a rational number is because, when simplified, it results in 10, its decimal terminates (stops).
100PTS PLEASE GIVE EXPLANATION
(I really need help please)
2x + 6y= 12
X + 3y= 6
In solving the system of equations shown above, Sean showed the following steps:
Step 1: x = 6 – 3y
Step 2: 2(6-3y) + 6y = 12
Step 3: 12 – 6y + 6y = 12
Step 4: 12 = 12
Sean’s work is correct. However, there are no variables in Sean’s final step. What can he state as the solution of the system?
Answer:
The system has infinitely many solutions
Step-by-step explanation:
There are no variables left. And the final equation is correct.
It means the system is going to be correct for any value of variables. So there are infinitely many solutions
Answer:
Step-by-step explanation:
There are two equations in the question
[tex]2x+6y=12\ -->Equation\ 1\\\\x+3y=6\ -->Equation\ 2\\\\[/tex]
If we take 2 common from the first Equation it becomes,
[tex]2(x+3y)=12\\\\x+3y=12/6\\\\x+3y=6\\[/tex]
Now we can see that both the Equations are similar which means they would have the same graph.
Since both the equations have the same equation of line they have infinitely many solutions which means both the lines intersect at each and every point on the line, since both the lines are on top of each other.
We can also see that in Step 4 where 12 = 12 there are no variables in the equation which also means that the work is correct and Sean can say that the system of equations is consistent and dependent which means they have infinite number of solutions
Oil prices are projected to increase by 75% by next May. A quart of oil currently costs $2.15. What is the projected cost of a gallon of oil next May? Round your answer to the nearest hundredth. After eating dinner at a restaurant, Sid's bill before tax is $62.00. The sales tax rate is 8%. Sid decides to leave a 15% tip for the waiter based on the pre-tax amount. How much money will Sid pay total, including tax and the tip?
Answer:
The oil will cost 3.76.
Sid paid 76.26.
Step-by-step explanation:
2.15 * 0.75 = 1.61
1.61 + 2.13 = 3.76
62*0.15 = 9.30
62*0.08 = 4.96
Simplify. Use a horizontal format.
(-2y2 - 4y - 11) + (4y2 - 4y)
Please show how u got your answer
The scale of a map is 1 inch = 25 miles. On the map, the distance between two cities is 5.25 inches. What is
the actual distance in miles?
Answer:
131.25 miles
Step-by-step explanation:
if 1 inch equals 25 miles then you need to times 25 by 5.25 and you will get 131.25 miles.
Isaac drinks 8 glasses of water each day he say he will drink 2920 glasses of water in a year that has 365 days is the exact answer reasonable explain
Answer: Isaac will be able to drink 2920 glasses of water in a year if he drinks 8 glasses of water each day.
Step-by-step explanation:
365 • 8 = 2920
2920 ÷ 365 = 8
2920 ÷ 8 = 365
Answer:
Yes
Step-by-step explanation:
Without doing all the math ...
1. 8x5 is 40, so we know the answer ends in 0.
2. 8 x 300 is only 2400, but 8 x 60 is 480. Adding those together, we're already in the ballpark of 2900.
a school is purchasing graphing calculators for use in math classrooms. the graph shows a relationship between the number of graphing calculators purchased and the total cost
Answer:
there is no picture
Step-by-step explanation:
The price of a bicycle was decreased by 40% to £96. What was the price before the decrease?The price of a computer was decreased by 20% to £420. What was the price before the decrease?
Give an example of an equation that is a linear function. Explain why is is a linear
Answer:
For example, a common equation, y=mx+b y = m x + b
Step-by-step explanation:
is a linear function because it meets both criteria with x and y as variables and m and b as constants.
Write the equation of the line that passes through the points (0, -3) and (-4,1).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Step-by-step explanation:
I'm going to explain this in standard slope intercept form (y=mx+b) because it is easiest for this situation. I will also include converting it to point slope form. I will also show how to do straight into point slope form if you find that more helpful.
First thing is to identify difference in x and y in both points. From point 1 to point to, the x changes -4 and the y changes +4. We can rapresent this in rise over run fraction
[tex] \frac{4}{ - 4} = - 1[/tex]
So the slope is -1 because the slope is the simplified rise over run fraction.
Our next step is to find the y-intercept. This is easy because the first point is the y-intercept, so -3 is our y-intercept.
Now we know the equation.
[tex]y = - x - 3[/tex]
All we have to do now is convert it into point-slope form. So here is point slope form: y + y1 = m(x + x1). Y1 is the y-intercept and m is the slope.
[tex]y - 3 = - 1(x + x1)[/tex]
So x1 is the x intercept, so to find this you find the x value when y is 0. You can do this by using the standard form I've done because it is easiest.
[tex]0 = - x - 3 \\ x = - 3[/tex]
So when y is 0, then x is -3. Here is the complete point slope form of the line.
[tex]y - 3 = - 1(x - 3)[/tex]
-----------------------------------------------------
To put the line directly into point slope for you need to find the slope, y-intercept, and x-intercept and place the values in accordingly. If you aren't given the y-intercept and x-intercept straight away it can be difficult for some putting it directly in point slope form. That is why I recommend putting it into standard form then point-slope form.
Answer:
y=-1x-3
Step-by-step explanation:
First, you have to find the slope using the formula I attached. Using this formula, you will subtract the second y from the first y, which is 1-(-3) for this problem. That equals 4, so that will be the numerator of the slope. Next, you have to subtract the second x from the first x, which is -4-0 for this problem. That equals -4, so that will be the denominator for this slope. the fraction now is [tex]\frac{4}{-4}[/tex], which is -1. The slope is -1. The current equation looks like this: y=-1x+b. Now we can solve for b, or the y-intercept. To do this, you have to use the x and y of one of the coordinates, it doesn't matter which one, the answer will be the same. Use the first one, for example. The x is 0 and the y is -3, so the our equation to find b is -3=-1(0)+b, which is -3=0+b, which is -3=b, or b=-3. So now we know what b is. Now we have to two components we need to write the equation, the slope (-1) and the y-intercept (-3). Now we can write the equation. y=-1x+(-3), or y=-1x-3.
Plsss help I’ll give u brainlest and 10 points
Find the square root of -36.
A-6
B 6
C Cannot be done
Answer: C) Cannot be done
Taking the square root of a negative number is not possible unless you involve complex numbers. If your teacher has not introduced that topic yet, then you just simply say "cannot be done" or something along those lines.
Consider this system of equations and the partial solution below.
6 x + 2 y = 6.
7 x + 3 y = 9.
Multiply the first equation by –3.
Multiply the second equation by 2.
Add the resulting system of equations.
Which terms will cancel when you add the resulting system of equations?
The first equation will turn into -18x -6y = -18, and the second equation will turn into 14x + 6y = 18. The y terms will cancel out when you add the equations together.
Answer:
A
Step-by-step explanation:
Need Help plz it has to be done now
Answer:
38 ft
Step-by-step explanation:
:)
Answer:
32ft
Step-by-step explanation:
Multiply 8 by 3 to get the area of the rectangle. Multiply 4 by 4 and then divide by two to get the area of the triangle.
Finally add them together to get 32ft
Please answer this I just need the slope.
Answer:
slope is 2/3x-2
Step-by-step explanation:
Answer:
the slope of the line is 2/3 so in y=mx+b format you would get y = 2/3x+(-2) or y=2/3x-2
to find it you have to see how many over and how many up you have to go until you hit the line at a specific reaccuring pattern. then you do rise over run (or up over side) to get the slope.
Step-by-step explanation:
i hope this helps :))
Evaluate the question and simplify
The answer is 11.
Step-by-step explanation:
19-25\19-15
44/4= 11
an item has a listed price of $95 if the sales tax rate is 5% how much is sales tax
Answer:
Sales tax: $4.75
Step-by-step explanation:
You multiply $95 by 5%
$95 × .05 = $4.75
Зr - 7 = 11
What is the answer
i need help asap !!
Answer:
Solving the expression [tex]\frac{\sqrt[3]{7} }{\sqrt[5]{7} }[/tex] we get [tex]\mathbf{7^{\frac{2}{15}}}[/tex]
Option D is correct option.
Step-by-step explanation:
We need to solve the expression: [tex]\frac{\sqrt[3]{7} }{\sqrt[5]{7} }[/tex]
We know that
[tex]\sqrt[3]{x}=x^{\frac{1}{3}[/tex] and [tex]\sqrt[5]{x}=x^{\frac{1}{5}[/tex]
Using above rule:
[tex]\frac{\sqrt[3]{7} }{\sqrt[5]{7} }\\=\frac{7^{\frac{1}{3}}}{7^{\frac{1}{5}}}[/tex]
Now, we know the exponent rule if bases are same and divided then exponents are subtracted i.e: [tex]\frac{a^m}{a^n}=a^{m-n}[/tex]
Using the exponent rule
[tex]=7^{\frac{1}{3}-\frac{1}{5} }\\Simplifying\:exponents\\=7^{\frac{5-3}{15}}\\=7^{\frac{1*5-1*3}{15}}\\=7^{\frac{2}{15}}[/tex]
So, solving the expression [tex]\frac{\sqrt[3]{7} }{\sqrt[5]{7} }[/tex] we get [tex]\mathbf{7^{\frac{2}{15}}}[/tex]
Option D is correct option.