Problem Sathish is going on a 210021002100-kilometer road trip with 222 friends, whom he will pick up 150150150 kilometers after he begins the trip and drop off when there are 150150150 kilometers remaining. The car consumes 666 liters of gas for every 100100100 kilometers, and gas costs \$1.20$1.20dollar sign, 1, point, 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.
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
Marisa got an 85% on her math quiz. She had 34 questions correct. How many questions were on the quiz?
Answer:
40
Step-by-step explanation:
Set up a window pane method to solve this.
That picture is called the window pane method.
36 would go in the A section because it's part of the test questions not all of them. 100 would stay in its spot and 85% goes in the percent spot. The equation would look like this: 36 times 100 divided by 85 = 40
Hi! This is due soon and I really need help. (-:
Write an expression to represent the income of the fundraiser in the following paragraph
Write an expression to represent the profit of the fundraiser.
The varsity basketball team is selling t-shirts as a fundraiser. It costs them $100 to have the shirts professionally designed, and they have to pay $5 for each shirt. They plan on selling the shirts for $10 each.
I already got that the expression that represents the expenses of the fundraiser would be -5x+100. But I was kinda confused about the other ones :-/ Any help would be appreciated (-:
Answer:
10x>5x+100
Step-by-step explanation:
it says expression not equations so its < , >,
The profit would be on one side and the expenses on the other
No negatives
so it would be 5 times X (the amount of shirts) plus the base fee of $100
and they plan on selling it for 10$ each so (10x) is the profit
X = number of shirts
To paint a house, a painting compay charges a flat rate of $500 for supplies, plus $50 for each hour of labor. How much would the painting company charge to paint a house that needs 20 hours of labor?
Answer:
$1500
Step-by-step explanation:
You multiply the $50 an hour by the 20 hours and you end up with $1000, then you add the flat rate of $500 and you get $1500.
find the linear equation from the points (-2,-6) and (2,-3)
Answer:
y = 3/4 x - 9/2
Step-by-step explanation:
find the slope by (y2-y1)/(x2-x1) and then substitute a point in
a science center has v visitors on the first day of an special exhibit and 200 visitors on the second day what is the average number of visitors per day over the two days
19. To the nearest year, how long would an investment need to be left in the bank at 2%, compounded annually, for the investment to double. A. 34 years C.36 years D. 37 years B. 35 years 20 Sam inhorito 150
Answer:
B. 35 years 20 Sam inhorito 150
Step-by-step explanation:
How many like terms are in the expression? 14x- 14y +7 - x + z + 2x
A.0
B.2
C.3
D.5
Answer:
5
Step-by-step explanation:
14y, 7, x, z, 2x are the terms in this equation. A term is separated by signs (like + or-)
What is the answer please hurry
Answer:
I dunno
Step-by-step explanation:
Need Help
Question is in screenshot below
Show your work if you can
Thank you :)
================================================
Work Shown:
One way to express exponential form is to use
y = a*b^x
where 'a' is the initial value and 'b' is linked to the growth rate.
Since we're told 34 bees are there initially, we know a = 34.
Then after 4 days, we have 48 bees. So we can say,
y = a*b^x
y = 34*b^x
48 = 34*b^4
48/34 = b^4
24/17 = b^4
b^4 = 24/17
b = (24/17)^(1/4)
b = 1.090035
Which is approximate.
The function updates to
y = a*b^x
y = 34*(1.090035)^x
------------------------
As a way to check to see if we have the right function, plug in x = 0 and we find:
y = 34*(1.090035)^x
y = 34*(1.090035)^0
y = 34*(1)
y = 34
So there are 34 bees on day 0, ie the starting day.
Plug in x = 4
y = 34*(1.090035)^x
y = 34*(1.090035)^4
y = 34*1.4117629
y = 47.9999386
Due to rounding error we don't land on 48 exactly, but we can round to this value.
We see that after 4 days, there are 48 bees.
So we confirmed the correct exponential function.
------------------------
At this point we can find out how many bees there are expected to be after 20 days.
Plug in x = 20 to get
y = 34*(1.090035)^x
y = 34*(1.090035)^20
y = 190.672374978452
Round to the nearest whole number to get 191.
There are expected to be roughly 191 bees on day 20.
Solve for x in the picture below
Answer:
X = 4
Step-by-step explanation:
Given : Both the triangles are congruent.
And, LM = QR ;
Therefore,
=>. 2x + 11 = 3x - 9
By interchanging.....
=> 11 + 9 = 3x + 2x
=>. 20 = 5x
=> 4 = x
Or,
=> x = 4
Hope it's help you.... ^_^An 8-ounce bottle of lotion costs $4.50. Find the Unit Rate. hint: What is the cost per ounce?
Answer:
approximately 56 cents
Step-by-step explanation:
4.5/8
Simplity
4/x+1 - 3/x-1
Answer:
[tex]\frac{1}{x}[/tex]
or
[tex]\frac{4x^{2} -3}{x}[/tex]
Step-by-step explanation:
can i have brainliest?
find the distance between the point
(-3,-4 and 5,5
(
Answer:
the square root of 145
Step-by-step explanation:
D= square root[(y2-y1)^2 + (x2-x1)^2]
D=square root[(5+4)^2 + (5+3)^2]
D=square root[(9)^2 + (8)^2]
D=square root[81 + 64]
D=square root[145]
Linear or Not?
10y = 4x
Is it linear or not yes or no
Answer:
no
\
Step-by-step explanation:
XYZ is Shown Below
Determine the value of x.
Answer:
x = 10
Step-by-step explanation:
Every triangle has 180o. Just add the three angles together.
8x + 5 + 3x + 25 + 4x = 180 Combine the like terms.
15x + 30 = 180 Subtract 30 from both sides
15x = 180 - 30 Combine
15x = 150 Divide by 15
x = 150/15
x = 10
Answer:
10
Step-by-step explanation:
8x + 5° + 3x + 25° + 4x = 180° (angle sum property of a triangle)
8x + 3x + 4x + 5° + 25° = 180°
15x + 30° = 180°
15x = 180° - 30°
15x = 150°
x = 150/15
x = 10°
hope it helps u!
What is the solution to the equation 2x – 4 = 6?
A) X=1
B) x=4
C) x= 5
D) x=8
Answer: C.x = 5
2x - 4 = 6
⇔ 2x = 10
⇔ x = 10/2 = 5
Step-by-step explanation:
I need help please !
Answer:
3) B is congruent toE
Step-by-step explanation:
B is congruent to E helps you prove triangle ◇ABC is similar to ◇ DEF, not congruent to it.
Find the measure of the numbered angle.
Answer:
1 = 37° 2 = 57°
Step-by-step explanation:
All the angles in a triangle have the sum of 180°The small box in the corner of the angle represents 90°To Find Angle 1
Add -----> 90 + 53 = 143Subtract -----> 180 - 143 = 37To Find Angle 2
In the middle of the two shapes, they come to a point making them vertical angles. This means if one side is 90° the other side is also 90°Add -----> 90 + 33 = 123 Subtract -----> 180 - 123 = 57what is the simplified fractional equivalent of the terminating decimal 0.32
Answer:
8/25
Step-by-step explanation:
Brainliest pls
Answer:
8/25
Step-by-step explanation:
Which property was used to simplify the expression?
distributive property
commutative property
associative property
inverse property
Answer:
distributive property
Answer:
distributive prop.
Step-by-step explanation:
PLS HELP I BEG YOU ASAP! PLS Answer this! I only have 5 minutes PLS I BEG U!!!! I also the the price of each notebook hint:find the value of X
Answer: 2x+4=10
Step-by-step explanation:
because each notebook would cost $3 so 2 x 3 = 6 +4=10
Answer:
first
2x + 4 = 10
2x+4=10
2x+4=10
Solve
1
Subtract
4
4
4
from both sides of the equation
2
+
4
=
1
0
2x+4=10
2x+4=10
2
+
4
−
4
=
1
0
−
4
2x+4{\color{#c92786}{-4}}=10{\color{#c92786}{-4}}
2x+4−4=10−4
2
Simplify
Subtract the numbers
Subtract the numbers
2
=
6
2x=6
2x=6
3
Divide both sides of the equation by the same term
2
=
6
2x=6
2x=6
2
2
=
6
2
\frac{2x}{{\color{#c92786}{2}}}=\frac{6}{{\color{#c92786}{2}}}
22x=26
4
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
3
x=3
x=3
Solution
=
3
Second one
6 = 10
2
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
5
3
x=\frac{5}{3}
x=35
Solution = 5/3
i hope these help to figure out the third sorry its all messed up it wouldnt let me do another way
help MATH ASAP MARKING BRIANLIT!!
Answer:
-41
Step-by-step explanation:
The change is -2
(-2*20)-1 = -41
HI PLS HELP ME ASAP!! THIS IS VERY EASY
The question is there in the picture.
What’s the answer?
A) 34
B) 11
C) 9
D) 28
Answer:
A
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Since the triangles are congruent, then corresponding angles are congruent, that is
∠ Q = ∠ P, substitute values
3x + 1 = 2x + 10 ( subtract 2x from both sides )
x + 1 = 10 ( subtract 1 from both sides )
x = 9
Thus
∠ Q = 3x + 1 = 3(9) + 1 = 27 + 1 = 28° → D
uhm can i get a brain dump moment right here(btw i pick a random subject)
Answer:
liquid
Step-by-step explanation:
the length of a rectangular mat is twice its breath.if its length is 50 cm find its area and perimeter
Answer:
L = 2W
If L = 50cm
then
w= 25cm
Area = L*W= 50*25
Area= 1250 cm^2
Perimeter
P = 2(L+W)
P= 2 (50+25)
P = 150cm
A bag contains 12 red marbles the ratio of red marbles to blue marbles is 4:3 find the number of blue marbles in the bag
Answer:
9
Step-by-step explanation:
this can be written as an equation.
12/x=4/3
and it is just easy now, you see what you multiply 4 by to get 12 and it is 3, so that means you have to multiply 3 by 3
3 times 3 is 9, so the answer is 9
Answer:
Hello There!!
Step-by-step explanation:
First look at the ratios the red marbles ratio is 4 and the blue marbles ratio is 3.
You already know that there are 12 ratios in the bag so 12÷4=3(1 ratio equals 3 marbles)
Therefore,3×3=9.So the answer is 9 blue marbles.
hope this helps,have a great day!!
~Pinky~
у - 2x2 +Чу ...............
there are 50 kilometers in 31 miles. which representation does NOT show the same relationship
Answer: D
Step-by-step explanation: did you get it right
Answer:
D
Step-by-step explanation:
Kylie lives 4/5 kilometer from her friend's house. She has walked
5/8
of the distance. How many kilometers has Kylie walked so far?
Answer:
she has walked half of the journey
can i have brainliest please