Answer: 200 literes will be used in an hour
Step-by-step explanation:
1. 150 divided by 45 mins = 3.3 recurring
2. 3.3 recurring times 60 ( 60 mins in an hour) = 200
The amount of the petrol will be consumed in one hour will be 200 liters.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
A car uses 150 liters of petrol in 45 minutes.
Then the rate at which the amount of petrol is consumed in liters per minutes will be
⇒ 150 / 45
⇒ 10 / 3 Liters per minutes
We know that there are 60 minutes in one hour.
Then the amount of the petrol will be consumed in one hour will be
⇒ (10 / 3) x 60
⇒ 10 x 20
⇒ 200 liters
Thus, the amount of the petrol will be consumed in one hour will be 200 liters.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
Which of the following relations could be a function? Select all that apply. A {(1,1), (1,2), (1,3)} B {(1,5), (3,6), (5,9)} C {(8,3), (6,-1), (2,0)} D {(5,2), (3,6), (5,8)} E {(-1,5), (9,4), (2,-3)}
Answer:
sorry
Step-by-step explanation:
Given that f(x)= 4x-3 and g(x)= 2x-1 over 3 solve for g(f(2))
Answer:
[tex]g(f(2))=3[/tex]
Step-by-step explanation:
So we have:
[tex]f(x)=4x-3\text{ and } g(x)=\frac{2x-1}{3}[/tex]
And we want to solve for g(f(2)).
First, find f(2):
[tex]f(2)=4(2)-3[/tex]
Multiply:
[tex]f(2)=8-3[/tex]
Subtract:
[tex]f(2)=5[/tex]
Now, substitute this in for g(f(2)):
[tex]g(f(2))=g(5)[/tex]
Substitute this in for g(x):
[tex]g(5)=\frac{2(5)-1}{3}[/tex]
Multiply:
[tex]g(5)=\frac{10-1}{3}[/tex]
Subtract:
[tex]g(5)=\frac{9}{3}[/tex]
Divide:
[tex]g(5)=3[/tex]
Therefore:
[tex]g(f(2))=3[/tex]
Turn 5 8/25Into a decimal
Answer: 5.32
Step-by-step explanation:
8/25 as a decimal is 0.32. Add the fraction and whole number and you get 5.32
Answer:
5.32
Step-by-step explanation:
We know that the 5 in [tex]5 \frac{8}{25}[/tex] will just be a 5, so we can leave that be for now.
Since we have [tex]\frac{8}{25}[/tex], we want to turn it into a decimal.
A way of representing decimals is [tex]\frac{x}{100}[/tex], like [tex]\frac{69}{100}=0.69[/tex].
Therefore, we can convert [tex]\frac{8}{25}[/tex] into hundredths and find the decimal that way.
[tex]\frac{8}{25} = \frac{x}{100}[/tex]
We can cross multiply to find the value of x.
[tex]100\cdot8=800\\\\800\div25=32[/tex]
This means that [tex]\frac{8}{25} = \frac{32}{100}[/tex]. This means the decimal is 0.32.
Adding the 5 to it, we get 5.32.
Hope this helped!
Approximately 220 million tires are discarded in the U.S. each year. These tires present a disposal problem because they take up space, harbor pests, and have been known to catch fire. One tire can generate about 250,000 BTUs (1 BTU = 3 x 10-4 kWh) when it is burned. The average American home consumes about 10,000 kWh of electricity per year. How many tires would be needed to meet the annual electricity demand of ten homes for one year if the production of electricity from tires is 50% efficient?
Answer:
2667 tires
Step-by-step explanation:
One tire can generate:
250000 BTU's = 250000*3*10⁻⁴ kWh = 75 kWh electricityConsidering efficiency of 50%, one tire can produce:
75/2 = 37.5 kWh10 homes require electricity, amount of:
10000*10 = 100000 kWh per yearHow many tires can cover this demand?
100000/37.5 ≈ 2667 tiresFind the value of x in this equation.
1/6 (6x-5) - x = 1/3 - 2(x + 1)
Help me with this Question Explanation will be appreciated
Solve for z. –2(z − 9) = 2
Hi there! :)
Answer:
[tex]\huge\boxed{z = 8}[/tex]
-2(z - 9) = 2
Divide both sides by -2:
-2(z - 9) / (-2) = 2/ (-2)
z - 9 = -1
Add 9 to both sides:
z = -1 + 9
z = 8.
A CD's sale price is $14. This is a 4% decrease from its original price. What was the original price?
Answer:
0.56
Step-by-step explanation:
Answer:
$14.56
Step-by-step explanation:
It is 14.56 because:
$14 + 4% = $14.56
So, that is the answer. Hope this helps!
Joe's boat rental rents paddle boats for $8.00 and the paddles rent for $5.00 for the day. If David has $45, what is the least amount of hours he could rent the paddle boat
Answer:
Minimum hour = 177 hour
Step-by-step explanation:
Given:
Paddle boats rent = $8
Paddles rent = $5 Per 24 hours
Total amount = $45
Find:
Number of hour David rent paddle boat
Computation:
8 + (5/24)n = 45
(5/24)n = 37
n = 177.6 hour
Minimum hour = 177 hour
Brandie lives on the twelfth floor of her apartment building. She walks down 2 flights to visit a friend, then up 3 flights to deliver a message to a neighbor. Which integer best represents the number of flights Brandie must walk to get back to her starting point? –12 –1 5 7
Answer:
-1
Step-by-step explanation:
She walked down 2 flights, then up 3 flights. This would cause her to be 1 floor above her floor. So, she would have to walk down 1 flight (hence the negative in the -1) and she would be on her floor.
Answer:
-1
Step-by-step explanation:
Help me in this problem.
I BEG OF YOU! PLEASE HELP ME!!! *will mark as brainliest* The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F: F = 9 over 5 C + 32 Which of the following formulas correctly solves for C? C = 5F − 32 over 9 C = 5 F over 9 − 32 C = 9 over 5 (F − 32) C = 5 over 9 (F − 32)
Which of the following is an irrational number?
1. 1,483,292. 2. 14/17. 3. 0.100100010000... 4. 0
Answer:
The correct option is;
0.100100010000...
Step-by-step explanation:
An irrational number in mathematics are the subset of real numbers that are not rational numbers such as √2, π, e. As such it is not possible to express an irrational number as a ratio of two integers, or expressed in the form of a simple fraction.
The decimal portion of the expression of an irrational number are non periodic and they do not terminate. Transcendental, which are non algebraic, numbers are all irrational numbers
In the question, the number 0.100100010000... has non terminating non recurring decimals and is therefore an irrational number.
Help please!!!! 10 points
Step-by-step explanation:
This is the answer.... Working shown
solve for x 11 - 13x - 7 - 2x = 7
Answer:
x =-1/5Step-by-step explanation:
[tex]11-13x-7-2x=7\\\\\mathrm{Group\:like\:terms}\\-13x-2x+11-7=7\\\\\mathrm{Add\:similar\:elements:}\:-13x-2x=-15x\\-15x+11-7=7\\\\\mathrm{Add/Subtract\:the\:numbers:}\:11-7=4\\-15x+4=7\\\\\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}\\-15x+4-4=7-4\\\\Simplify\\-15x=3\\\\\mathrm{Divide\:both\:sides\:by\:}-15\\\frac{-15x}{-15}=\frac{3}{-15}\\\\Simplify\\x=-\frac{1}{5}[/tex]
Step-by-step explanation:
Hey, there!!
Let's solve it simply.
Given,
11 - 13x - 7 - 2x = 7
Simplify the like terms.
11 - 7 - 13x - 2x = 7
4 - 15x = 7.
shifting 4 in right side.
-15x =7-4
-15x = 3
Divide 3 by -15.
[tex]x = \frac{3 }{ - 15} [/tex]
Therefore, x = (-3/15) or (-1/5).
Hope it helps....
how to do this question plz answer me step by step plzz
Answer:
No
Step-by-step explanation:
Diameter= 180cm
Circumference of each table
= πD
= 180π cm
Each table can fit
= 180π ÷70
= 8 guests (nearest whole number)
Since there are 18 tables, total number of guests
= 8(18)
= 144 guests
Since there are only enough tables to sit 144 guests, there are not enough tables to fit 145 guests.
Note that we cannot take the sum of the circumference for 18 tables than divide by 70 to see how many guests can fit because a guest can only be sitted on one table.
If that was done,
Total circumference
= 180π(18)
= 10179 cm (5 s.f.)
Total number of people
= 10179 ÷70
= 145 people (3 s.f.)
This is incorrect.
Need help on this stastic and prob
Answer:
it is correct they weigh the same
Step-by-step explanation:
NEED HELP!!! I DON"T UNDERSTAND HOW TO FILL THIS IN. WILL MARK BRAINLIEST FOR THE BEST ANSWER!!!
Properties of Rhombuses, Rectangles, and Squares
Complete the following chart by putting an “X” in the boxes that are TRUE, put a "0" in the boxes that are FALSE.
figure out for brainliest
Answer:
hope you understand the answer please mark brainlist
(0,5)
(-7,0)
(0,0)
What is the perimeter of the triangle?
Answer:
primeter = 20.6
Step-by-step explanation:
d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}
8.60 + 7 + 5 = 20.6
I’m stuck and I don’t know what to do someone help please
Answer:
Step-by-step explanation:
1.
[tex]diameter = 6\:cm\\Radius = \:d/2\: =\: 6/2 = 3\:cm\\Height = 9\:cm\\\\Volume \:of\:a\:cone : \frac{1}{3} \pi r^2 h\\\\V = \frac{1}{3}\times 3.14 \times 3^2 \: \times 9\\\\V = \frac{1}{3} \times 3.14 \times 9 \times 9\\\\V = \frac{254.34}{3} \\\\Volume = 84.78cm^3[/tex]
2.
[tex]diameter =\: 6\:cm\\Radius= d/2 = 6/2 = 3\:cm\\Height = 9\:cm\\Volume = ?\\\\Volume \:of\:a \:cylinder = \pi r^2 h\\\\V = 3.14 \times 3^2 \times 9 \\\\V = 3.14 \times 9\times 9\\\\Volume = 254.34\:cm^3[/tex]
3.
The volume of a cone is (one third) of the volume of a cylinder which has the same height as the cone and the same base radius as the cone.
So, you need 3 (three) volumes of cone to fill the cylinder.
What is the length of cd?
Answer:
a length of a cd is 6 inches
Step-by-step explanation:
Answer:
[tex]BC=\sqrt{5}[/tex]
Step-by-step explanation:
so we have B=(5,1) and C=(7,2)
we can use the distance formula
[tex]P(xy)=\sqrt{(x_1-x_2)^{2}+(y_1-y_2)^2 } \\\\P(BC)=\sqrt{(5-7)^{2}+(1-2)^2 } \\\\P(BC)=\sqrt{(-2)^{2}+(-1)^2 }\\\\P(BC)=\sqrt{4+1}\\\\P(BC)=\sqrt{5}[/tex]
Three times the sum of a number and four and five
Answer:
3x+27
Step-by-step explanation:
3(x+4+5)=
3x+12+15=
3x+27
1 point
9.) The Franklin Wildcats football team was competing in the regional
championship game. The offense had the ball at the 50-yard line as they
tried to score to win the game. Their progress during each play was as
follows: gain 7, gain 2, lose 1, gain 4, lose 5, gain 27, gain 4, gain 5, gain 0,
gain 3, lose 2, lose 1, gain 1, gain 2. On what yard line did the Wildcats end? *
Answer:
96 yards
Step-by-step explanation:
This is basically just a huge addition problem that we can tackle (heh) in our heads.
If we gain yards, then we add.
If we lose yards, then we subtract.
If we started out at 50, the expression is
[tex]50 + 7 + 2 - 1 + 4 - 5 + 27 + 4 + 5 + 0 + 3 - 2 - 1 + 1 + 2[/tex].
We can use the associative property of addition to simplify this. I'm just grouping together things that look easy to do in my head.
[tex]50 + (7 + 2) - 1 + 4 - 5 + (27 + 4) + (5 + 0 + 3) (- 2 - 1) + (1 + 2)\\\\50 + 9 - 1 + 4 - 5 + (31 + 8) (-3 + 3)\\\\(50 + 9) - 1 + 4 - 5 + 39 \\\\59 - 1 + 4 - 5 + 39 \\\\58+4 + (-5+39)\\\\62+34\\\\96[/tex]
Hope this helped!
During a onemonth period, a car company's stock price went from $99.24 to $45.19 per share.
The change in the price of the stock is
dollars.
The change in price stock is $54.05.
How to calculate change in any quantity?First: work out the difference (increase or decrease) between the two numbers you are comparing.
Increase or decrease = New Number - Original Number.
initial price= $99.24
final price= $45.19
So, Change in stock = final price- initial price
=$45.19 - $99.24
=-$54.05
Hence, the price decrease in $54.05.
Learn more about this concept here:
https://brainly.com/question/14670088
#SPJ2
A shopkeeper earns a profit of 250₹ on every chair and a loss of 175₹ on every table he sells. Find his profit or loss if he sells 12 chairs and 9 tables on a particular day.
Answer:
the shopkeeper made 1425₹ in profit on a particular dayStep-by-step explanation:
the total profit on 12 chairs:
12*250=3000₹
loss from selling 9 tables: 175*9=1575
total profit-total loss:
3000-1575=1425
the shopkeeper made 1425₹ in profit.
Answer:
1425 profit or 1575 loss
Step-by-step explanation:
250x12=3000 --> for the chairs
175x9=1575 --> for the tables
3000-1575=1425
You could say that he made 1425 profit or 1575 loss
Pls help me answer all of these but fast because it’s due in a few minutes or else it’s an f!! Pls help I have so stress and I just need help!
Answer:
ikrrrrr sammeeeeeeeeeee
what is the value of x if length is 3x-1 and width is x and the perimeter is 84
Answer:
x = 10.75
Step-by-step explanation:
To find the value of x, we need to know the equation for the perimeter of a rectangle. This equation is:
P = 2L + 2W
Where P is the perimeter, L is the length, and W is the width.
We are given P = 84, L = 3x -1 , and W = x. Now we just plug these values in and solve for x.
P = 2L + 2W
84 = 2 ( 3x - 1 ) + 2 ( x )
84 = 6x - 2 + 2x
84 = 8x - 2
86 = 8x
86 / 8 = x
43 / 4 = x
(40 + 3) / 4 = x
10.75 = x
Hence, the value of x = 10.75.
Cheers.
PLS HELP ME ASAP
Which number is missing from the following prime factorization expression?
175 = 5 x 5 x __
A) 2
B) 3
C) 5
D) 7
Answer:
7
Step-by-step explanation:
5 x 5 x 7
= 175
hope it helps u
Answer: D) 7
Step-by-step explanation: You would have to go through all of them so... 5x5 is 25 right 25x2=50 so it is not A. 25x3= 75 so it's not B. either. 25x5= 125 so it is not C. either. 25x7= 175 SO D. IS YOUR ANSWER!
Chance knows the length of a football field (including end zones) is 120 yards. The width of the field is 53.33 yards. What is the area of football field rounded appropriately?
Answer = about 6,400 yards squared
Step-by-step explanation: