Answer:
1) The car travels 623.333 kilometers with 85 liters of petrol.
2) The owner of the car must buy 135 liters of petrol at a total cost of $ 303.75 to travel 990 kilometers.
Step-by-step explanation:
1) The distance traveled by the car is directly proportional to the quantity of petrol. Then, we determine the distance needed by this simple rule of three:
[tex]x = \frac{85\,L}{45\,L}\times 330\,km[/tex]
[tex]x = 623.333\,km[/tex]
The car travels 623.333 kilometers with 85 liters of petrol.
2) The quantity of petrol is directly proportional to the traveled distance, which is directly proportional to cost. First, we calculate the quantity of petrol spent by the car:
[tex]x = \frac{990\,km}{330\,km}\times 45\,L[/tex]
[tex]x = 135\,L[/tex]
And the cost of 135 liters of petrol is:
[tex]y = 135\,L\times 2.25\,\frac{\$}{L}[/tex]
[tex]y = \$\,303.75[/tex]
The owner of the car must buy 135 liters of petrol at a total cost of $ 303.75 to travel 990 kilometers.
Consider the following information.
1 hour = 3.6 · 103 seconds
1 day = 24 hours
1 year = 3.65 · 102 days
Use scientific notation to calculate the number of seconds in 3 days.
A number is chosen at random. Find the probability of choosing an odd number
Answer:
1/2, or 50% probability if you have equal amounts of even and odd numbers
do you have a list of the numbers or is it just in general ?
Answer:
It's most likely always be 50/50. You'll either get an odd number or an even one. Hope this helps!! (:
Show work:
Write the fraction or mixed number as a percent.
1 13/20
this is for a test!! aghh
Answer: 165%
Step-by-step explanation:
1 = 100%
13/20 = 65%
1 13/20 = 165%
This is due in 10 min please hurry!!
Which set of solutions will satisfy the inequality −46+r3≤−29?
r = 100 and r = 54
r = 72 and r = 51
r = 51 and r = 26
r = 50 and r = 60
Answer:
i did it, and now u can check somehow is it correct and helpful
the figure is formed from rectangles. find the total area. the diagram is not to scale
Answer:
The area of all the rectangles combined
Step-by-step explanation:
Add them together
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The graph shows a line and two similar triangles. What is the equation of the line
Answer:
y = (1/3)x + 2
Step-by-step explanation:
The equation of a straight line is given by:
y = mx + b, where y and x are variables, m is the slope of the line, that is the ratio of the change in vertical distance to horizontal distance while b is the y intercept of the graph.
From the graph, we can see that the y intercept (where the graph touches the y axis) is 2. Hence b = 2
Also, the slope (m) = change in y / change in x = 1 / 3
The equation of the line is:
y = (1/3)x + 2
Answer:y = (1/3)x + 2
Step-by-step explanation:
hope this helps
URGENT!!! For quiz now!
Solve the pair of simultaneous equations using matrix methods.
1) x + y =2 , x + y =3
2) 3x + 2y = 14 , x + 4y =12
3) -3x + 2y = -16 , -x - 5y = -10
4) y = 2x - 5 , 7x - 2y =16
Answer:3?
Step-by-step explanation:
Please help me
In a city all the houses are either three or four storeyed the ratio of the number of three storyed building to four storeyed building is 5:3 if the total number of buildings is 488 find the number of four storeyed buildings.
Given that R=7x+5Y find Y when X=9 and R=35 give your answer as an improper fraction in its simplest form
Please help
Answer:
y = -28/5
Step-by-step explanation:
R = 7x +5y
35 = 7(9) + 5y
35 = 63 +5y
-5y= 63- 35
-5y/-5 = 28/-5
Y = -28/5
Answer:
Y = - [tex]\frac{28}{5}[/tex]
Step-by-step explanation:
Given
R = 7X + 5Y ← substitute X = 9, R = 35
35 = 7(9) + 5Y
35 = 63 + 5Y ( subtract 63 from both sides )
- 28 = 5Y ( divide both sides by 5 )
- [tex]\frac{28}{5}[/tex] = Y
Pierre walks 24 km due north then 7 km due east.
Calculate how far he is from his starting position.
Answer:
The answer is 17 km due north.
Step-by-step explanation:
24 km due north subtracted by 7 km east
Put north because it was first (this was based on a rule).
The distance between the final position to the initial position will be 25 km.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
Pierre walks 24 km due north and then 7 km due east. Then the distance between the final position to the initial position will be
H² = 24² + 7²
H² = 576 + 49
H² = 625
H² = 25²
H = 25 km
The distance between the final position to the initial position will be 25 km.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
#SPJ2
Please help what's the answer
Answer:
I think the answer the second one
Answer:
No, (4, -2) is only a solution for the red equation.
I hope this helps!
hi please help i’ll give brainliest please
Answer:
5x=90 x=90/5=18. So, the answer is 18.
Answer:
Step-by-step explanation:
given
5x = 90
x = 18
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
Answer:
i did this before the answer is c
Answer: 1/5 x
Step-by-step explanation:
Help what’s the answer???
Grade 10 math help please. Please show work
Answer:
43.94?
Step-by-step explanation:
I think if you use inverse cos you should get the correct number. So, to find cos, you need to know the adjacent side and the hypotenuse. Here, the reference angle would be the person holding the kite. The distance from the person to the barn is the adjacent side, which is 18. The string of the kite, I assume, would be 25.
cos(∅) = [tex]\frac{18}{25}[/tex]
cos(∅) = 0.72
cos⁻¹(0.72) = 43.94
I don't know if that's what you're looking for, but... If it's not correct, lmk so I can rewrite it. :)
FIND X ROUND NEAREST 10 PLEASE ILL GIVE BRAINLIEST
Answer:
x=7
Step-by-step explanation:
Hey There!
I believe they want us to use law of sines
To do so we need to find the missing angle
180-90-25=65
now we set up and equation
[tex]\frac{x}{sin25} =\frac{15}{sin65}[/tex]
step 1 multiply each side by sin25
[tex]x=\frac{15sin25}{sin65} \\x=6.994614872[/tex]
it says to round to the nearest tenth so we can conclude that x=7
Giving brainliest! Please help if you can
Answer:
B.|| and |||
Step-by-step explanation:
I'm not really sure I just know that one of the answer is |||
Help me with this please
Answer: (4 , 2.5)
5 + 3 / 2 = 4
3 + 2 / 2 = 2.5
Guided Practice
The expression πr2hpi r squared h represents the volume of a cylinder, where r is the radius and h is the height. Suppose you want to see how the volume is impacted when you double the height. Which expression represents the volume of the cylinder with a height that is twice the length of the original length?
A.
π(2r)2hpi left parenthesis 2 r right parenthesis squared h
B.
(2π)r2(2h)left parenthesis 2 pi right parenthesis r squared left parenthesis 2 h right parenthesis
C.
(πr2h)2left parenthesis pi r squared h right parenthesis squared
D.
πr2(2h)pi r squared left parenthesis 2 h right parenthesis
Answer:
D.
πr2(2h)pi r squared left parenthesis 2 h right parenthesis
Step-by-step explanation:
I need help I don’t understand this at all please
Step-by-step explanation:
[tex] \tan( \alpha ) = \frac{15}{9} = \frac{7}{h } \\ h = \frac{7 \times 9}{15} = 4.2[/tex]
Tony's town had an election last month. 180 people voted in the election and 720 did not vote. What percentage of the people voted?
Answer:
20%
Step-by-step explanation:
180 + 720 = 900 total people in town
180/900 or 180 ÷ 900 = 0.2 or 20%
Hope this helps!
I am the Real Da Baby
LESS GOOO!
Answer:
yuuhhhhh
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
I am da real baby :) lol
Can you please help me with this problem.
Answer:
C
Step-by-step explanation:
Calculator did it lol
What is the nth term rule of the linear sequence below?
5,8,11,14,17
(btw it says the nth term not the 9th.)
9514 1404 393
Answer:
an = 5 +3(n -1)
Step-by-step explanation:
The n-th term of an arithmetic sequence is ...
an = a1 +d(n -1)
Here, you have first term a1=5 and common difference d=8-5=3, so the n-th term is ...
an = 5 +3(n -1)
_____
If you like, you can simplify this to ...
an = 5 +3n -3
an = 3n +2
Answer:
it's 3n-3
Step-by-step explanation:
The graph of a function, ƒ, is shown here. What is the domain of ƒ? A) (−∞, −3] ∪ (−1, 4) ∪ [5, ∞) B) (−∞, −3] ∪ (−1, 4) ∪ [5, ∞] C) [−∞, −3] ∪ (−1, 4) ∪ [5, ∞) Eliminate D) [−∞, −3] ∪ (−1, 4) ∪ [5, ∞]
Answer:
the answer is c
Step-by-step explanation:
Whats the answer to this question lol
Answer:
1/12
Step-by-step explanation:
Multiply 1/2 x 1/6 = 1/12
Find the Domain and Range. Remember to put answers in
increasing numerical order.
{(0,2), (9,3), (3,7), (6,3), (7,3)}
Domain: {
}
ion
Range:{
}
Answer:
Domain: {0,3,6,7,9}
Range: {2,3,7}
At a school social, parents attended with their children. Everyone had a choice between a sweet snack and a salty snack. Here is a two-way table showing the number of adults and children who made each choice of snack.
sweet snack salty snack total
adult 57 88 145
child 77 31 108
total 134 119 253
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
what us the answe
re
Worth 15 points help me please choose all that apply