The system of equations could be used to find the number of gallons of gas Chris bought at each station is,
B. x + y = 20 and 1.45x + 1.55y = 29.80.
What are linear and non-linear functions?A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.
Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.
An example of a non-linear function is a quadratic function.
Given, Chris stopped for gas twice on a long car trip.
The price of gas at the first station was $1.45 per gallon, and the price of gas at the second station was $1.55 per gallon and filled a total of 20 gallons of gas and cost him a total of $29.80.
Therefore the system of linear equations that represents the context is,
x + y = 20 and 1.45x + 1.55y = 29.80.
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Which of the following is correctly written in Standard Form?
Therefore , the solution to the given problem of equation comes out to be4x-3y = 6 as a standard equation in all the above options.
An equation's definitionAn equation is a representation of two identical variables in mathematics, one on either side of an equals sign. Common difficulties can be solved using equations. We frequently seek pre algebra help when faced with obstacles in real life. Lessons in pre-algebra cover the basics of mathematics.
Here,
Given : 4x-3y = 6
-4x + 2y =8
=> y = 4/5x + 4
=> 4/5x + 2y = 6
Thus ,
From the above following equations we get ,
4x-3y = 6
as a standard equation in all the above options.
Therefore , the solution to the given problem of equation comes out to be 4x-3y = 6 as a standard equation in all the above options.
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MATH HELP CALC
LOOK AT IMAGE
The right Riemann sum for the given function is 2.5.
Firstly, we must find the width of each of the subintervals Δx,
We know n = 4, a = 0, b = 2
∴ Δx = b - a / n
Δx = 2 - 0 / 4
Δx = 1/2
The width of each rectangle is 0.5
Next, we must find the locations of the right endpoints of the rectangles -
x1 = a + Δx(1) = 0.5
x2 = a + Δx(2) = 1
x3 = a + Δx(3) = 1.5
x4 = a + Δx(4) = 2
Now that we have the width of each rectangle, Δx = 0.5, and the right endpoints for the rectangles, x1 = 0.5, x2 = 1, x3 = 1.5, x4 = 2.
we can compute the right Riemann sum.
Computing the sum of the areas of the rectangles:
∑Δx f(x) = ∑ 0.5f(xi)
= 0.5 f(x1) + 0.5 f(x2) + 0.5 f(x3) + 0.5 f(x4)
= 0.5 (0.5) + 0.5 (1) + 0.5 (1.5) + 0.5 (2)
= 2.5
[tex]\int\limits^2_0 {x^{3} } \, dx[/tex] ≈ 2.5
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What is the value of x? Solve for x. You may build and solve the equation on your Equation Mat. Or you may solve the equation algebraically (to the right). Of this -2x-2=3 (-x+2 )
Answer:
[tex] - 2x - 2 = 3( - x + 2) \\ - 2x - 2 = - 3x + 6 \\ - 2x + 3x = 6 + 2 \\ x = 8[/tex]
The table below shows the number of minutes played (x) by various basketball players and the number of rebounds (y) they had.
Scatter plot that has 2 through 20 for x and 1 through 10 for y.
a. Draw a scatter plot of the data. Label the axes.
b. Find an equation for a line of best fit.
c. Use your equation from part b above to predict how many rebounds a player would have if they played 30 minutes in the game.
I will give all my points to the first person that answers.
Answer:
A
Step-by-step explanation:
What is 2 point midpoint?
The 2-point midpoint formula is a method for finding the equation of a line that passes through the midpoint of two given points.
The formula for the 2-point midpoint is:
y - y1 = m(x - x1)Where (x1, y1) and (x2, y2) are the two given points, and m is the slope of the line.
The slope of line is calculated by (y2-y1)/(x2-x1)
By using the midpoint of two given points, the 2-point midpoint formula eliminates the need for calculating the y-intercept of the line, which can save time and effort. It is particularly useful when working with geometric figures or real-world applications that involve moving objects or changing data. It also helps in predicting the values of future point when we know the past point.
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What type of triangle is 70 70 40?
70-70-40 is an isosceles triangle.
The isosceles triangle has three acute angles, which means that the angles are less than 90°.The summation of three angles of an isosceles triangle is always 180°. In an isosceles triangle, if two sides are equal, then the angles opposite to the two sides correspond to each other and are also always equal.The two equal sides are defined as the legs and the third side is defined as the base of the triangle.The two angles opposite the legs are equal and are always acute, so the categorization of the triangle as acute, right, or obtuse depends only on the angles between its two legs.Read more about the isosceles triangle:
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What is the product? 3a(8a - 6b)
24a² - 6b
24a² - 6ab
24a² - 18b²
24a² - 18ab
The product of expression is 24a² - 18ab.
What is Polynomial?A polynomial is a sort of algebraic expression in which all variable exponents are whole numbers. Variable exponents in any polynomial must be non-negative integers. A polynomial is made up of constants and variables, however we cannot divide polynomials by variables.
We have,
3a( 8a - 6b)
Now, multiplying the expression as
= 3a(8a) - 3a(6b)
= 24a² - 18ab
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How do you find the sides of an isosceles triangle given the angles?
To find the sides of an isosceles triangle given the angles, use the Law of Cosines to calculate the length of each side.
An isosceles triangle has two angles and two sides that are both equal.. To find the sides, you will need to use the Sine Law. The Sine Law states that the ratio of the length of a side of a triangle to the sine of its opposite angle is equal for all sides and angles of the triangle.
For example, if you have the angles A and B, and you know that they are both equal (i.e. they are the angles of an isosceles triangle), then you can use the Sine Law to calculate the length of the sides:
Side AB = Side BC = (Side AC) x (Sin A / Sin B)
Where A and B are the angles of the triangle and Side AC is the known side length.
Once you have calculated the length of the two equal sides, you can then use the Pythagorean Theorem to calculate the length of the third side (the base).
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Uriah buys 5 reams of paper and 3 ink cartridges for $131. Yasmine buys 2 reams of paper and 5 ink cartridges for $174. How much does one ream of
paper cost? How much does one ink cartridge cost?
Answer:
uriah reams cost $26.2 and uriah's ink cost $43.6,for yasmine's reams it costs $87 and for the ink it costs $34.8
Step-by-step explanation:
hopefully it helps:)
Please help I will give you brainiest!!!
Find the x- and y-intercepts if the graph of -9x+2y=14. State your answers as whole numbers or as improper fractions in simplest form.
9514 1404 393
Answer:
x-intercept: -14/9
y-intercept: 7
Step-by-step explanation:
This is one of the easiest forms for finding intercepts. To find the x-intercept, set y=0 and divide both sides by the coefficient of x.
-9x = 14 . . . . . set y=0
x = -14/9 . . . . divide by -9
__
To find the y-intercept, set x=0 and divide both sides by the coefficient of y.
2y = 14 . . . . set x=0
y = 7 . . . . . . divide by 2
The x-intercept is -14/9; the y-intercept is 7.
Cars enter a car wash at a mean rate of 4 cars per half an hour. What is the probability that, in any hour, exactly 4 cars will enter the car wash? Round your answer to four decimal places.
The probability that exactly 4 cars will enter the car wash in an hour is 0.195
What is the probability that, in any hour, exactly 4 cars will enter the car wash?Generally, This is a Poisson process, where the mean number of cars entering the car wash is 4 cars per hour. The probability of exactly 4 cars entering in an hour is given by the Poisson probability mass function:
P(X = 4) = (e^(-4) * 4^4) / 4!
where e is approximately 2.71828, and 4! is
4 * 3 * 2 * 1 = 24.
Plugging in the values, we get:
P(X = 4) = (2.71828^(-4) * 4^4) / 24
P(X = 4) =0.195
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Determine the period
If juice boxes come in packs of 12 and we need to buy enough for 189 students. How many packs of juice boxes do we need to buy?
Answer:
16
Step-by-step explanation:
189/12=15.75
15.75packs for all 189 student,rounded up since we can’t buy0.75packs. So the answer is 16 packs
Answer:
its 12 ÷ 189=15 packs
Step-by-step explanation:
15 r15
sandwiches are being bought bye us--passive to active
Is the area of an equilateral triangle is 196 root 3 cm square then each of its side is?
Therefore , In the instance of an equilateral triangle, each side's length (3 sides are equal) is equivalent to 28 cm.
What is triangle?
Triangular polygons in geometry are those with right side and three vertices. There are three straight sides to this two-dimensional shape. Three-sided polygons include triangles. A triangle's three angles add up to a whole 180 degrees. A single plane contains the triangle.
What is polygons ?A polygon is a closed two-dimensional geometric shape that has three or more straight sides. The sides of a polygon are called edges and the points where the edges meet are called vertices.
Here,
We must apply the mathematical procedure for computing an equilateral triangle's area.
An equilateral triangle's area is equal to 3/4 of each side; assume that each side is x cm long.
[3/4 (a)2] cm2 is the equilateral triangle's surface area.
In light of the information mentioned in the query,
√3/4 × (a)² = 196√3
a²/4 = 196√3/√3
a²/4 = 196
a² = 196×4
a² = 784
a = √784
a = 28
In the instance of an equilateral triangle, each side's length (3 sides are equal) is equivalent to 28 cm.
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What does → mean in math?
â' in mathematics refers to the hexadecimal representation of the number 10.
What does hexadecimal notation provide for?In machine code and assembly programming languages, hexadecimal is widely utilised. It is frequently used to refer to memory addresses. It can be used to represent numbers kept in a CPU's registers or in main memory, as well as during the debugging phase of designing a computer programme.
How is the hexadecimal notation read?Although there are six more digits to consider, counting in hex is very similar to counting in decimal. When a digit position exceeds "F," you roll that place over to "0" and increase the digit to the left by 1. And once you've reached 1F16, move on to 2016 and keep churning the right-most
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circumference of the circle. if the radius is 7.1mm
Answer: C≈44.61mm
Step-by-step explanation:
Write (−13)⋅(−13)⋅(−13)⋅(−13)⋅(−13) using exponents. Fastttttttttttttttttttttttttttttttt
Answer:
.l,´mfkf jh h
Step-by-step explanation:
Answer:
-13 to the fifth power.
Please answer quick! The question is in a file down below.
Answer:
perimeter= 9+9π cm
area= 40.5-10.125π cm²
Step-by-step explanation:
area of the square =9x9=81cm²
area of the two semicircles which have the same diameter =area of one circle
= (9÷2)²π =(81÷4)π
area of the whole shaded part = 81- (81÷4)π cm²
the area of each shaded part= (81-(81÷4)π)÷2
= 40.5-10.125π cm²
circumference of 2 semicircles= circumference of 1 circle = 2πr = 2x9xπ= 18π cm
then are perimeter of the whole shaded part = 18π+9+9= 18+18π cm
perimeter of each shaded part = (18+18π)÷2=
9+9π cm
I need the answer to this question please!
The equivalent expression of 5[tex]x^{3/2}[/tex] is 5√(x³). The correct option is last one.
What are the equivalent expressions?Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).
Given:
An expression,
5[tex]x^{3/2}[/tex]
To find the equivalent expression:
We have to simplify the expression,
5[tex]x^{3.1/2}[/tex]
= 5(x³)[tex]){1/2}[/tex]
= 5√(x³)
The above expression is an equivalent expression.
Therefore, 5√(x³) is an equivalent expression.
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Derek owns a snack shop where he sells tins of buttered and caramel popcorn. The table shows the number of each type of popcorn sold over w weeks.
Popcorn Sales
Popcorn Cost ($)
Number Sold
Over w Weeks
Buttered 11 8w+9
Caramel 11 6w−1
After 12 weeks, how much more will he have made in sales of buttered popcorn than the sales of caramel popcorn?
In the transaction, he will receive $374 more in sales of buttered popcorn than caramel popcorn.
What are mathematical operations?An operation, often known as an "operand" or "argument," is a function in mathematics that converts zero or more input values into a clearly defined output value. In mathematics, addition, subtraction, multiplication, division, and modular forms are the five basic operations.
Given, Derek owns a snack shop where he sells tins of buttered and caramel popcorn. The table shows the number of each type of popcorn sold over w weeks.
Popcorn Sales Popcorn Cost ($) Number Sold Over w Weeks
Buttered 11 8w+9
Caramel 11 6w−1
After 12 weeks of total buttered popcorn, he will make the sale
= $11 * (8*12 + 9)
= 11 * (96 + 9)
= $1,155
After 12 weeks of total caramel popcorn, he will make the sale
= $11 * (6*12 - 1)
= $11* (71)
=$781
In the sale, he will get more sales in buttered popcorn than sales in caramel popcorn by 1,155 - 781 = $374
Therefore, He will make $374 more in sales of buttered popcorn than caramel popcorn during the sale.
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HELP ME PLEASE AND THANK YOUUU
Answer:
x=3 y=1
Step-by-step explanation:
-2/3x+3=2x-5
x=3
y=-2/3(3)+3
y=1
y=2(3)-5
y=1
The product of two rational number is -9 . if one of the numbers is -12, find the other
Answer:
3
Step-by-step explanation:
because x + (-12) =-9
so x= -9 +12
x = 3
You Roll A Six-Sided Die Twice . What Is The Probability Of Rolling A 2 And Then A 6
A.1/3
B.1/6
C.1/12
D.1/36
Answer:
A
Step-by-step explanation:
mark me brainliest pls
Answer:
yo
Step-by-step explanation:
(PLEASE HELP)
Which expression is represented on the number line?
Answer:
F .0-(-8) I think so..........................
Answer:
F is represented on the number line
im homeschooled and someone asked me if I was in school and I said "yes" and he asked if I was in "7th period" I literally dont know what that means :)
There is no 7th period, so no you aren't in 7th period.
What is the unknown fraction?
Answer:
47/100
Step-by-step explanation:
we will shift the 2/10 to the other side and change the sign to minus
Help !!! Brainlisest
Answer:
(x, y ) → (x + 11, y - 11 )
Step-by-step explanation:
Consider the point U and its image U'
U (- 9, 1 ) → U' (2, - 10 )
This represents a shift of 2 - (- 9) = 2 + 9 = + 11 → in the x- direction and
- 10 - 1 = - 11 ↓ in the y- direction
This can be shown in the translation rule
(x, y ) → (x + 11, y - 11 )
ILL BRAINLIEST YOU PLEASE HELP ME HOW DO I DRAW MY TRIANGLE
Step-by-step explanation:
I attached The photo of answer
-TheUnknownScientist
A line that includes the points (k,
–
4) and (5,
–
2) has a slope of
–
1. What is the value of k?
The required value of k is 7 for a line that includes the points (k,–4) and (5,–2).
What is the slope of the line?The slope of a line is defined as the gradient of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
As per the question, the slope of the line is -1, and the given points are (k, -4) and (5, -2).
So we can substitute these values into the formula:
-1 = (-2 - (-4)) / (5 - k)
-1 = 2 / (5 - k)
-1 × (5 - k) = 2
-5 + k = 2
k = 2 + 5
k = 7
Therefore, the value of k is 7.
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