A taxi driver filled his car petrol tank with 54 litres of petrol on Saturday. On Sunday he filled his tank with 64 litres of petrol. If the petrol costs Rs.82 per litre, how much did he spend on petrol?
Answer:
the amount spent on petrol is Rs 9,676
Step-by-step explanation:
Given that
The tax driver filled the car petrol with 54 liters on Saturday
On sunday, he filled his tank with 64 liters
And, the petrol cost is Rs 82 per liter
We need to find out the amount of money spent
SO,
= (54 liters + 64 liters) × Rs 82
= Rs 9,676
Hence, the amount spent on petrol is Rs 9,676
EMERGENCY NEED HELP PLEASE HELP THE QUESTION IS ATTACHED TO THE QUESTION THING PLEASE HELP!!!
Graph of given system of equations is shown in figure with intersection point (2, 4).
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The system of equation is,
⇒ 2x + y = 8
⇒ - x + 2y = 6
By solving both equation , we get;
⇒ (x, y) = (2, 4)
Thus, The graph of system of equation intersect on point (2, 4).
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HELP DUE IN 15 MINS!
Quadrilateral ABCD is an isosceles trapezoid. Find the values of x and y.
x =?? degrees
° y =?? degrees
Answer:
Isosceles trapezoid has congruent base angles:
∠A ≅ ∠D and ∠B ≅ ∠C
5x = 80x = 164y - 12 = 1004y = 112y = 28Answer:
x = 16 degrees
y = 28 degrees
Step-by-step explanation:
1.) ∠A ≈ ∠D since they are base angles: so;
5x = 80
=> divide 5 on both sides:
x = 16 degrees
2.) Now Substitute 16 in for the x-value
5x ⇒ 5(16) = 80,
3.) Since we know the measure of the sum of interior angles is 360° we can say that:
(4y - 12) + 100 + 5(16) + 80 = 360
=> 4y - 12 + 100 + 80 + 80 = 360
=> 4y + 248 = 360
Subtract 248 on both sides of "="
=> 4y = 112
Divide 4 on both sides of "="
=> y = 28
Hope this helps!
A circle has a diameter of 12 centimeters. A sector of the circle is 9 square centimeters. What is the measure of the central angle whose radii define the sector?
Answer:
sector area = [central angle / 360] * PI * radius²
central angle = sector area * 360 / [PI * radius²]
central angle = 9 cm² * 360 / [3.14159 * 6²]
central angle = 28.6479139544 degrees
Source: http://www.1728.org/radians.htm
Step-by-step explanation:
What is the product of 6.3 and 5? 315 31.5 3.15 0.315
Answer: 31.5
Step-by-step explanation:
6.3 x 5
hope this helps :)
What is the difference between polynomials and not polynomials equation explain your answer?
By noticing which formulas only contain the operations of addition, subtraction, multiplication, and non-negative integer exponents, the polynomials may be located. Expressions with additional operations are considered non-polynomial expressions.
Expressions are polynomials, but expressions that equal zero are polynomial equations.
A polynomial may be written as the sum of a finite number of terms, where each term is the product of one or more variables raised to a positive integer exponent and a constant coefficient (or power).
An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
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How is the graphed system of equations classified?
Drag and drop words into the boxes to correctly complete the statements.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
A Response area system has at least one solution. A Response area system has an infinite number of solutions.
A system that has no solution is classified as inconsistent.
A system that has one and only one solution is classified as independent
The system of equation graphed is consistent and independent.
How to interpret the graph of linear equations?The equations given by the graph are expressed as;
3x - 4y = 32
3x + 5y = 24
Now, if we subtract eq 1 from eq 2, we will get;
5y - (-4y) = 24 - 32
9y = -8
y = -8/9
Put 8/9 for y in eq 2 to get;
3x + 5(8/9) = 24
3x = 24 - 40/9
3x = 176/9
x = 176/27
Now, to classify solution to equations, we say that;
1) When there is no solution, it is inconsistent.
2) When there is one and only one solution, it is independent
Since we have a solution and only one solution, then we can say that the system of equation graphed is consistent and independent.
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Thirty-seven states use wind as a source of energy.
>What fraction of the states does not use wind energy?
Answer:
0.26. This is the fraction of states that do not use wind energy.
Step-by-step explanation:
There are 50 states total. If 37 use wind energy, then 50 - 37, or 13, do not.
13/50 = 0.26. This is the fraction of states that do not use wind energy.
……………………………………………………………………………
Answer:
ITS 64 degrees
Step-by-step explanation:
Answer:
116
Step-by-step explanation:
hope this helps:)..........
Please Simplify the phrase the first two and find the last one
Answer:
1) 23x + 6y
2) 8x - 4y
3) 4x - x² + 7
Step-by-step explanation:
Simplify:
Multiply each term of (3x + 6y) by 5 and multiply each term of (2x - 6y) by 4.
5(3x + 6y) + 4 (2x - 6y) = 5*3x + 5*6y + 4*2x - 4*6y
= 15x + 30y + 8x - 24y
Now, combine like terms. Like terms have same variable with same power.
= 15x + 8x + 30y - 24y
= 23x + 6y
2) 3(4x - 2y) - 2*(2x -y) = 3*4x + 3*(-2y) + (-2)* 2x + (-2)*(-y)
= 12x - 6y - 4x + 2y
= 12x - 4x - 6y + 2y
= 8x - 4y
3) f(x) = 3x + 2
To find f(x +1), replace x with (x +1)
f(x +1) = 3*(x + 1) + 2
= 3*x + 3*1 + 2
= 3x + 3 + 2
=3x + 5
f(2x) = 3*(2x) + 2
= 6x + 2
f(2x) + h(x) = 6x + 2 - x² - 2x + 5
= 6x - 2x - x² +2 + 5
= 4x - x² + 7
What is the area, in square centimeters, of the trapezoid below?
11.7 cm
5.5 cm
6.5 cm
Answer:
50.05 cm^2
Step-by-step explanation:
Ok so first lets find the area of the rectangle before finding the attached triangle. You have to imagine a line separating this shape into a triangle and rectangle.
The rectangle's size is 6.5x5.5=35.75 cm^2
The rectangle's size is 11.7-6.5 to get the base length, which is 5.2
The height is 5.5
So it's 5.2*5.5/2=14.3 cm^2
14.3+35.75=50.05 cm^2
A high school coach wants to buy new athletic shorts for the 15 members of the basketball team. The coach must spend less than $200 on the shares. Which inequality represents the maximum cost of each pair, s, the coach can buy
Solve each system by graphing
I’m looking for the answer but also a explanation of how you solved it so I can solve the other 1s without help
Answer: its hard to give an answer but read explanation
Step-by-step explanation: so the first number (1/3x) is your slope and the second number is the y-intercept (5). so for example, you're going to put positive 5 on the y-axis and because you slope is a fraction, rise/run will make you go 3 to the right and 1 up. Then you do the same with the second equation except, the slop is negative and you'll have to go down.
if you measure angle is 80 is an acute?
what is the percent change from 99 to 71?
To calculate the percent change of two numbers such as 99 to 71, you use the Percent Change Formula, where a is the start value and b is the end value. When we insert a = 99 and b = 71 in the formula above, then we get the following that we can simplify and solve to get the percent change from 99 to 71.
Change ≈ -28.2828%
What type of triangle is a 50/50 80?
50-50-80 is a Isosceles acute triangle.
An isosceles acute triangle is a triangle in which all three angles are less than 90°, and at least two of its angles are equal in measurement. One example of the angles of an isosceles acute triangle is 50°, 50°, and 80°.
Properties of Isosceles Acute Triangle
It is easy to point to an isosceles acute triangle if we know its properties. The properties of the isosceles acute triangle are noted below:
Two angles and two sides opposite those angles are equal.All three angles are less than 90° (acute angles).The summation of all the interior angles is 180°.Read more about the Isosceles acute triangle.:
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Rebecca carries a balance on her credit card each month. Today is the first day of the new, 28-day billing cycle. The current balance is x and the APR is 24%. Rebecca is buying a friend an expensive gift that cost $1,400 that she plans to put on her credit card. this will be her only purchase this month, and she will be making this purchase on the last day of the month
Part A
If her Finance charge will be $51, write and solve an equation to determine her current balance on her credit card. Show work
Part B
How much in finance charges can she save by making the purchase on the last day of the billing cycle versus the first day of the billing cycle? Explain how you determined your answer
Rebecca can save $27 in finance charge when she purchases the $1,400 gift for her friend on the laset day of the billing cycle instead of on the first day
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The billing cycle for the month = 28 days
Current beginning balance = x
Annual percentage rate (APR) = 24%
Monthly percentage rate (MPR) = 2% (24% ÷ 12)
Purchase on the last day = $1,400
Total finance charge for the month = $51
Finance charge for the last-day purchase = $1 ($1,400 x 2% x 1/28)
Finance charge for the beginning balance = $50 ($51 - $1)
The current beginning balance, x = $2,500 ($50 ÷ 2%)
Equation for current beginning balance, x = 51 - 1 ÷ 0.02
Total finance charge for the last-day purchase = $28 ($1,400 x 2%)
Savings in finance charge by purchasing on the last day = $27 ($28 - $1)
Hence, Rebecca can save $27 in finance charge when she purchases the $1,400 gift for her friend on the last day of the billing cycle instead of on the first day.
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The diameter of a circle is 16 in. Find its circumference in terms of \piπ.
Answer:
50.24
Step-by-step explanation:
The formula for solving circumference is 2 x pi x r
first the radius is 8 (divide 16 by 2 and get radius)
( pi can be 22/7 or 3.14. but I’m taking 3.14 )
second, we have all values, now we just have to substitute them!
Pi = 3.14
R = 8
so when we do 2x 3.14 x 8 = 50.24
I hope this helped!
Answer: The area of the circle is 64π cm
Step-by-step explanation:
d=16→r=8
A= π⋅8 ^2
A= π⋅64
A=64π
HURRY! PAST DUE MATH HOMEWORK!
Answer:
45.7 inches
Step-by-step explanation:
The perimeter uses 3 sides of the square, so 3 x 10 = 30. We'll add that later.
Then we need to find the circumference of the half-circle. We know the diameter is 10, because that's the side of a square.
Circumference = pi x diameter
C = 3.14 x 10 = 31.4
But that's for the whole circle. We only have a half.
31.4 /2 = 15.7 is the perimeter for the half circle. Add this to the 3 sides of the square
30 + 15.7 = 45.7
HELP DESPERATE 50 POINTS AND BRAINLIEST!!!!!
Answer:
6 Passwords
Step-by-step explanation:
718, 781, 817, 871, 178, 187
(Hope this helped! Please comment any questions) :)
Answer:
The idiot that sent the link just got taken down so I'll just answer with my comment.
Step-by-step explanation:
"I believe it is 6"
What is the surface area of the pyramid?
Answer:
166
Step-by-step explanation:
1) the area of triangles on the left and right sides: 2*13
2) the area of triangles on top and bottom sides: 10*12
3) the area of the rectangle in the middle: 10*2
4) Altogether: 2*13+10*12+10*2=166
A train travels 90 miles in 15 minutes. How many miles does it travel in 2 hours?
Answer:
360
Step-by-step explanation:
60 divided by 15=4
90 x 4 =360
Answer:
720 miles
Step-by-step explanation:
This is assuming the train continues to move at the same speed.
You can think about the problem in the following way:
The 2 hour journey is split up into x number of 15 minute segments.
2 hours = 120 minutes
120/15 = 8
Therefore, x = 8.
If the journey can be split into 8 15 minute segments, and each 15 minute segment carries it 90 miles, the total distance traveled is given by:
8 * 90 miles = 720 miles
Atlernatively, you can calculate the average speed of the train.
Speed = Distance/Time
So: Speed = 90 miles/15 minutes = 6 miles/minute.
Reusing the above formula, substituting in speed = 6 miles/minute and time = 120
Given a bag of 5 blue, 3 green, and 8 red marbles.. What is the probability of picking a blue
and then a green with NO replacement
[tex]b = 5, \: g = 3, \: r = 8[/tex]
[tex]total = 5 + 3 + 8 = 16[/tex]
[tex]p(b) = \frac{5}{16} [/tex]
[tex]p(g |without \: replacement|) = \frac{3}{16 - 1} = \frac{3}{15} = \frac{1}{5} \\ [/tex]
[tex]p(b \: and \: g) = \frac{5}{16} \times \frac{1}{5} = \frac{1}{16} [/tex]
Guliskhan plans to cover a certain distance by running and bicycling. She runs at a constant speed, and she bicycles at a speed of 7 meters per second (m/s)
Therefore, the inequality problem solution is even if Guliskhan runs for 60 seconds and cycles for 90 seconds, she will not be able to travel the required distance.
What is inequality?Both formulae and inequalities are mathematical phrases created by connecting two expressions. The equal sign (=) in an equation denotes that the two expressions are regarded as equal. In contrast, an inequality indicates that the two phrases are not always equal by using the symbols >,≥,≤, or.<
Here,
R should stand for Guliskhan's running seconds, and B should stand for her bicycling seconds.
Guliskhan is said to bike at a pace of 7 meters per second, hence the distance (in meters) that he covers in B seconds will be 7B.
An inequity of 3R + 7B 1000 has been handed to us.
We can observe that 7B reflects the cycling distance covered by Gulkishan in meters in B seconds.
Guliskhan covers a distance of 3R meters in the number of seconds she runs for, where R is the number of seconds she runs for.
Guliskhan moves at a steady pace of 3 meters per second because of this.
B. Since Gulkiskhan 3R plus 7B has traveled a total distance greater than or equal to 1000 meters, her minimum intended distance is 1000 meters.
C. Let's replace R=60 and B=90 in our inequality to see if Guliskhan is capable of traveling this minimum distance.
=>3*60 + 7*90 ≥ 1000
=>180 + 630 ≥ 1000
=>810 ≠> 1000
Therefore, even if Guliskhan runs for 60 seconds and cycles for 90 seconds, she will not be able to travel the required distance.
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Radicals help please
Therefore, we can rationalize the denominator of a fraction containing a radical by taking the methods outlined above.
Describe fraction.Components of fractions are the numbers in the numerator and denominator (and ratios). The denominator, which is the smallest number, represents the greatest possible number of parts that can be put together to create a whole. You can tell how many parts you have by looking at the numerator, which is the greatest number. It might not be the whole thing! If the denominator is 0, that is bad. Division by zero is prohibited. If the denominator is a 1, our fraction is actually an integer.
Here,
we can rationalize a radical-containing fraction's denominator by doing the following:
Step 1: In order to eliminate the radical from the denominator, multiply the numerator and denominator by a radical.
Verify in step two that all radicals have been streamlined.
Step three is to simplify the fraction, if necessary.
Therefore, we can rationalize the denominator of a fraction containing a radical by taking the methods outlined above.
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What i the invere of f(x) = 3/(x 1) f ^ - 1 * (x) = (3 - 1)/x f ^ - 1 * (x) = 3 x f ^ - 1 * (x) = x^ 1 2 f ^ - 1 * (z) = 3/x - 1
The inverse of f(x) = 3/(x-1) is f^-1(x) = 3/x - 1.
So the correct answer is f ^ - 1 * (x) = 3/x - 1
The inverse of a function, denoted f^-1(x), is a function that "undoes" the original function. To find the inverse of a function, we need to switch the roles of x and y and then solve for x.
Given the function f(x) = 3/(x + 1), we can find its inverse by:
y = 3/ (x + 1)
Multiply with (x + 1) and divide by y
y(x + 1)/ y = (3/ (x + 1))×(x + 1)/ y
x + 1 = 3/ y
x = 3/ y - 1
Switching the roles of x and y:
y = 3/ x - 1
Thus f^(-1)(x) = 3/ x - 1
It's worth noting that in order for a function to have an inverse function it must be a one-to-one function. This means that for every y value there is only one x value.
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The function
h
defined by
h(t) = (49 + 4. 9t)(10 – t)
models the height, in meters, of an object
t
seconds after it is dropped from a helicopter.
1. Find or approximate the time when the object hits the ground. Explain or show your
reasoning
2. From what height is the object dropped? Explain or show your reasoning.
Answer:
55555555546776546567
a rectangular computer screen has an area o A square inches. The width of the computer is 7 inches. Which equation rpresents x the length of the computer screen in inches
Answer:
x = A/7
Step-by-step explanation:
Given that the screen is rectangular, recall that the area A of a rectangle whose length is L and width is W is given as
A = L * W
Hence if the width is 7 inches and the length is x inches then the area which is A square inches is connected to both sides as
A = x * 7
Divide both sides by 7
x = A/7 inches
HELP ILL GIVE BRAINLY IF ITS RIGHT
What is the volume of this composite solid?
2 m
4 m
7 m
2 m
2 m
O A. 78 cubic meters
B. 64 cubic meters
Ο Ο Ο
C. 58 cubic meters
D. 62 cubic meters
Answer:
B. 64 cubic meters
Step-by-step explanation:
The first rectangle has the dimensions 7 x 2 x 4. 2 x 4 is 8, and 8 x 7 is 56. The square has the dimensions 2 x 2 x 2, which is 8. 56 + 8 is 64, so the answer is 64.
Answer:
ITS B HOPE THIS HELPS
Step-by-step explanation:
An auditorium has 30 seats in the first row, 38 seats in the second row, 46 seats in the third row, and so on. how many seats are in the 10th row?
a. 60
b. 93
c. 102
d. 110
Answer:
Step-by-step explanation:Its actually 102, not 110