Answer:
3 grams
Step-by-step explanation:
g(5)-2g(1)
g × 5- 2g(1)
5g - 2g×1
5g - 2g
3g
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
The value of x in the linear inequality -3(2x - 5) < 5(2 - x) is x > 5 which shows an open circle is at 5 and a bold line starts at 5 and is pointing to the right.
Linear InequalityA system of linear inequalities in two variables includes at least two linear inequalities in the identical variables. When we solve linear inequality then we get an ordered pair. So basically, in a system, the solution to all inequalities and the graph of the linear inequality is the graph displaying all solutions of the system.
In the given inequality, we have -3(2x - 5) < 5(2 - x)
We can expand the graph and simplify
-3(2x - 5) < 5(2 - x)
-6x + 15 < 10 - 5x
15 - 10 < -5x + 6x
5 < x
x > 5
This indicates that an open circle is at 5 and a bold line starts at 5 and is pointing to the right.
Learn more on linear inequality here;
https://brainly.com/question/25839052
#SPJ1
Lisa paid $46.58 for 16.7 gallons of gasoline. What was the cost per gallon, rounded to the nearest hundredth?
Answer: 2.73 is the answer
Step-by-step explanation:
On cold days, nick likes to make hot chocolate. He uses 6 table spoons of coco and 2 table spoons of sugar
Guys please help me on this question its like very hard and please show work
Answer:
For every 3 tablespoons of cocoa, Nate uses 1 tablespoon of sugar.
Step-by-step explanation:
Since the sugar is halved, the cocoa should be halved as well. 6/2 is 3.
h(x) = −7x² + 10x - 5
Answer: The expression you provided is a quadratic function in the form of H(x) = ax^2 + bx + c, where a = -7, b = 10, and c = -5. The graph of this function is a parabola with the vertex located at x = -b/2a = -10/(-14) = 5/7. The y-coordinate of the vertex can be found by plugging the x-coordinate into the original function, giving us H(5/7) = (-7)(5/7)^2 + 10(5/7) - 5 = -5/7 + 25/7 - 5 = 0. This means that the vertex of the parabola is located at the point (5/7, 0). The general form of the quadratic function is H(x) = -7(x - 5/7)^2.
An investor invested a total of $1,800 in two mutual funds. One fund earned a 6% profit while the other earned a 4% profit. If the investor's total profit was $76, how much was
invested in each mutual fund?
The amount invested in the mutual fund that earned 6% was $
a) Using a system of equations, the amount invested in the mutual fund that earned 6% was $1,600.
b) The amount invested in the mutual fund that earned 4% was $200.
What is a system of equations?A system of equations is two or more equations solved concurrently.
A system of equations is also called simultaneous equations.
Total investment = $1,800
Profit from investment A = 6%
Profit from investment B = 4%
The total investment profit = $76
Let A = Investment A and B = Investment B
A + B = 1,800
A = 1,800 - B
0.06A + 0.04B = 76
0.06(1,800 - B) + 0.04B = 76
108 - 0.06B + 0.04B = 76
108 - 0.02B = 76
-0.02B = -32
B = 1,600
A = 200 (1,800 - 1,600)
Learn more about simultaneous equations at https://brainly.com/question/16763389
#SPJ1
Aiko i encloing a new rectangular flower garden with a rabbit garden fence. She ha 40 feet of fencing
A = -x² + 20 is a quadratic function in standard form that depicts each area as a function of width.
What makes anything a quadratic function?A quadratic in mathematics is a particular kind of problem that involves squaring, or multiplying a variable by itself. This terminology comes from the fact that a square's area equals the product of its side length and itself. Quadratum, the Greek word meaning square, is where the word "quadratic" originates.
Briefing:Now, give the x and y labels to the two sides.
We are aware that a rectangle's area is;
A = length * width
Thus;
A = xy
Given that she has 40 feet of fencing, the following follows:
y = 0.5(40) - x
y = 20 - x
Consequently, the area in the quadratic function formula is;
A = x(20 - x)
A = 20x - x²
A = -x² + 20
To know more about Quadratic function visit:
https://brainly.com/question/27958964
#SPJ4
Find equivalent equations Of 3+2x-9-4 X +11+ 5x- X
The required expression is 2x + 5 that equivalent to the expression, 3 + 2x − 9 − 4x + 11 + 5x − x.
What are Equivalent Expressions?The expressions that have identical values are called to be equivalent expressions.
The expression is given in the question following as:
⇒ 3 + 2x − 9 − 4x + 11 + 5x − x
We have to determine the equivalent expression to the given expression
As per the question, we have
⇒ 3 + 2x − 9 − 4x + 11 + 5x − x
Combine the like terms together in the above expression,
⇒ 2x - 4x + 5x - x + 3 - 9 + 11
⇒ 2x + 5
Thus, the required expression is 2x + 5 that equivalent to the expression, 3 + 2x − 9 − 4x + 11 + 5x − x.
To learn more about equivalent equations click here:
brainly.com/question/2972832
#SPJ1
swhat happens to the diagonal of a rectangle when the rectangle is reflected across a line of symmetry? what does this suggest about the diagonals of rectangles?
When reflected across a line of symmetry, a shape having that line of symmetry will fall on itself. These are the actual claims:
(1) The rectangle's diagonals will line up exactly with one another.
(2) A rectangle's diagonals are symmetry lines.
We deduce from the question that the rectangle is mirrored across the symmetry line.
When done, the rectangle's half will fall directly on the other half.
This indicates that the rectangle's diagonal will line up perfectly with the opposite diagonal.
According to the aforementioned claim, a rectangle's diagonal is also its line of symmetry.
To learn more about lines of symmetry and diagonals link is here
brainly.com/question/1045307
#SPJ4
Sale! 75% OFF
of the original price!
If a strawberry milkshake has a sale price of $1, what was the original price?
Submit
Answer: $4
Step-by-step explanation:
75% = 3/4
If 4/4 = full price,
subtract 3/4
4/4 - 3/4 = 1/4 = 25% of the original price
25% = $1
75% = $3
$1 + $3 = $4
Solve the system algebraically.
2x-y=-5
y=1-3x
Answer:
The answer is x= -2/3
Step-by-step explanation:
A right triangle has a hypotenuse of 12√2 and one leg equal to 9√2. What is
the length of the other leg?
Answer: 3√14 units
Step-by-step explanation:
Let the length of the other leg equal to x
Hence, according to Pythagoras' theorem
[tex]x^2+(9\sqrt{2} )^2=(12\sqrt{2})^2 \\\\x^2+9^2(\sqrt{2)^2}=12^2(\sqrt{2})^2\\\\x^2+81(2)=144(2)\\\\x^2+162=288\\\\x^2+162-162=288-162\\\\x^2=126[/tex]
Extract the square root of both parts of the equation:
[tex]x=\sqrt{126} \\\\x=\sqrt{9(14)} \\\\x=3\sqrt{14}\ units[/tex]
Arrange 0. 4, 0. 52 , 0. 81 and 0. 43 in acending order. Now pick the firt number and add 2 to it,
after adding 2 to it ubtract thi number from 5 and finally multiply the reult with 100
The ascending order of the given numbers will be 0.4, 0.43, 0.52 and 0.81 and the final number after performing all the indicated operations is 260.
According to the question,
We have the following information:
0.4, 0.52, 0.81 and 0.43
Now, we know that in ascending order we order from the smallest to the largest.
Ascending order of the given numbers:
0.4, 0.43, 0.52 and 0.81
Now, the first number is 0.4.
Adding 2 to this number:
0.4+2
2.4
Subtracting the number from 5:
5-2.4
2.6
Now, multiplying it by 100:
2.6*100
260
Hence, the ascending order of the given numbers will be 0.4, 0.43, 0.52 and 0.81 and the final number after performing all the indicated operations is 260.
To know more about ascending order here
https://brainly.com/question/28762233
#SPJ4
A room has the floor dimensions of 50 meters by 60 meters. The height of the basement is 10 meters. What is the total area of all four walls?
Hello,
I hope you and your family are doing well!
To find the total area of all four walls of the room, you need to find the area of each wall separately and then add them all together. The area of a wall is the product of its height and width.
The width of each wall is 50 meters, and the height of each wall is 10 meters, so the area of each wall is 50 * 10 = 500 square meters. There are four walls in the room, so the total area of all four walls is 500 * 4 = 2000 square meters.
--
Please consider giving this 5 stars and brainliest if you find it helpful.
Happy Holidays!
Answer: 2200
Step-by-step explanation: I looked it up
Online entertainment streaming services have gained in popularity in recent years as an alternative to traditional television. One such company has seen steady growth in each period of 3 months, called a quarter, over the past 4 years. The scatterplot shows the relationship between the number of quarters passed since January 2014 and the number of members to the streaming service. A least-squares equation that summarizes this relationship is
Based on the residual plot, is a linear model appropriate for summarizing this relationship?
A linear model is appropriate because the value of r is close to 1.
A linear model is appropriate because the residual plot is curved.
A linear model is not appropriate because the residual plot shows a clear pattern.
A linear model is not appropriate because the scatterplot relating time and subscribers shows a clear pattern.
PLS HURRY
Based on the residual plot, is a linear model is not appropriate for summarizing this relationship. Therefore, the correct answer option is: C. A linear model is not appropriate because the residual plot shows a clear pattern.
What is a residual plot?In Mathematics, a residual plot is sometimes referred to as scatter plot and it can be defined as a type of graph which is used for the graphical representation of the values of two (2) variables, with the resulting points showing any association or correlation (relationship) between the data set.
Mathematically, a linear model can be represented by this mathematical expression; y = mx + b.
Where:
m represents the slope.x and y are the points.c represents the y-intercept.By critically observing the residual plot (scatter plot) which shows a relationship between the residuals and quarters since January 2011, we can reasonably infer and logically deduce that a linear model is not appropriate because there is a clear pattern between the data points.
Read more on residual plot here: https://brainly.com/question/16814441
#SPJ1
if you were to guess how probability of tunneling through a finite barrier scales with barrier size (once it's bigger than a wavelength), which would you pick?
As an object's mass and the energy difference between it and the barrier's energy increase, the probability that it will tunnel through the barrier diminishes.
And although while the functionality shows that the wave function never fully hits zero, this explains why tunneling is common at the nanoscale but insignificant at the larger scale. The probability of tunneling declines exponentially with the square root of the mass of the particle (smaller particles may more easily tunnel through barriers than larger ones) and the barrier thickness.
Three requirements must be satisfied for a quantum particle to appreciably tunnel through a barrier ,
The barrier's height must be limited and its thickness should be minimal.The barrier's potential energy (E/V) is greater than the particle's kinetic energy.The fact that the wavefunction can pass through the barrier indicates that the particle possesses wave characteristics. This shows that quantum tunneling does not apply to macroscopic items and only applies to microscopic objects like protons or electrons.To learn more about tunnelling
brainly.com/question/28448225
#SPJ4
PLEASE HELP!!!!!!!!!!! BEFORE 11:59 PM EST
Uing the model of upply and demand, conider the market for navel orange. Illutrate the
impact on the market for navel orange if (i) the price of Cutie (a type of mandarin orange) fall
while (ii) change to the Clean Water Act mean that citru farmer have to adopt new expenive
farming practice to avoid nutrient runoff harming the environment. Explain the change to the
navel orange market, drawing concluion about expected change to the market price and
quantity for navel orange
Cuties and naval oranges are interchangeable, therefore when Cuties' price drops, more mandarin oranges will be consumed by consumers, increasing the demand for naval oranges .
As the Mandarin oranges are an alternative for navel oranges, a decrease in the price of Mandarin oranges will result in more people purchasing Mandarin oranges.
The Federal Water Pollution Control Act Amendments of 1972 were passed in response to growing public knowledge of and concern over water pollution (33 U.S.C. 1251 et seq.).
This law was modified in 1977 (P.L. 95-217), and as a result, it became known as the Clean Water Act (CWA).
Given constant levels of the other determinants—tastes, income, prices of related goods, expectations, and the number of buyers—the demand curve is defined as the relationship between the price of the good and the amount or quantity the consumer is willing and able to purchase in a given time period.
To learn more about supply and demand curve
brainly.com/question/1222851
#SPJ4
can somebody please help
Step-by-step explanation:
The diagram is very helpful, so really go off of that. Coordinates are written in the form (x,y). If you look at the signs (either there's a negative sign, - , or no sign at all, meaning it's +) for each number in a coordinate pair, you can see where each coordinate should go.
If you look at the last example (3, -3), the first digit is positive + and the second digit is negative - . When you look at the diagram, coordinates in the form of (+, -) are put in quadrant 4.
Rewrite the equation in logarithmic form.
9^5 = 59,049
Answer:
[tex]log_{9} 59,049=5[/tex]
Step-by-step explanation:
The equation in logarithmic form is ㏒₉59,049 = 5
What is an equation?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
For example, 3x + 5 = 15.
Given is an equation, 9⁵ = 59,049, we need to convert it into logarithmic form.
So,
y = aˣ, then x = ㏒ₐY
Applying the same,
9⁵ = 59,049
㏒₉59,049 = 5
Hence, the equation in logarithmic form is ㏒₉59,049 = 5
Learn more about equations, click;
https://brainly.com/question/29538993
#SPJ2
Find the equation of a line perpendicular to y 7 = - 4/3x that pae through the point (-8, -1)
The equation of a line perpendicular to y 7 = - 4/3x that pass through the point (-8, -1) is 3x-4y=20 where x-intercept is 3 and y-intercept is -4.
What is an equation or line?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables.
What is equation of a straight line?The formula for a straight line is y=mx+c where c is the height at which the line intersects the y-axis, often known as the y-intercept, and m is the gradient.
Given line ;
y 7 = - 4/3x
now comparing it with y=mx+c to find the value of m and we found;
m1=-4/3
now if two lines are perpendicular then,
m1.m2=-1
m2=3/4
now finding the equation of line passing through the point (-8, -1)
x1=-8
y1=-1
(y−y1)=m(x−x1)
Y+1=(3/4)(x+8)
Y+1=(3x/4)+(24/4)
Y=(3x/4)+(6)-1
Y=(3x+20)/4
4y=3x+20
rearrange;
3x-4y=20
this is our required value.
To learn more about equation of line visit:
https://brainly.com/question/11552995
#SPJ4
please help me with this math problem
Answer:
a - April
b - may
c - they neither made nor lost money that month
hope that helps :)
Step-by-step explanation:
Answer: a) - March
b) - May
c)- it neither made nor lost money that month
Step-by-step explanation:
a) - because -386 is the least out of all of them
b) - because 271 was the most out of all of them
c) - it didn't lose or make it just stayed the same as it was
I need a step-by-step process on how to do:
-3x+y=9
y=x-7
I would think this is a substitution problem.
Answer:
x = -8
y = -15
Step-by-step explanation:
-3x + y = 9
y = x - 7
-3x + x - 7 = 9
-2x - 7 = 9
-2x = 16
2x = -16
x = -8
y = -8 - 7
y = -15
What is the image of the point ( − 4 , − 1 ) (−4,−1) after a rotation of 27 0 ∘ 270 ∘ counterclockwise about the origin?
The image of the point (-4, -1) after a rotation of 270 counterclockwise about the origin will be (-4, 1).
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
The point (- 4, -1) is in the fourth quadrant. After a rotation of 270 counterclockwise about the origin, then the coordinate would be in the third quadrant.
Let the coordinate of (-x, -y) be the fourth quadrant. Then the coordinate in the third quadrant will be (-y, -x)
Therefore, The image of the point (-4, -1) after a rotation of 270 counterclockwise about the origin will be (-4, 1).
More about the transformation of a point link is given below;
brainly.com/question/27224339
#SPJ1
If m is the centroid of triangle abc, am = 44, ce =54, and dm = 23, find each missing measure. fm=?
If m is the centroid of triangle abc, am = 44, ce =54, and dm = 23, then each missing measure fm=88 and ce=44.
What is the centroid ?The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians intersect. It can alternatively be described as the location where the three medians come together. A line connecting a side's midpoint and the triangle's opposite vertex is called the median.
How do you find the centroid of a triangle with 3 points?Step 1: Identify each vertex's coordinates.
Step 2: Add together and divide by three all the x values from the coordinates of the three vertices.
Step 3: Add together all the y values from the three vertices and divide the result by three.
Step 4: The centroid coordinate is determined from the values collected in stages 2 and 3.
the ratio of both segments is 2:1.
where;
am = 44 and dm = 23
the longer segment is double of shorter one:
2*23 = 46.
Therefore,
fm = 46-23
= <<23=23>>23
now finding ce:
= 2*44
= 88, so
ce measures
= 88-44
=44.
To learn more about centroid of a triangle, visit:
https://brainly.com/question/10708357
#SPJ4
Do you think that practicing
mathematics will bring Peace
and Harmony in your life?.
Explain your thinking.
Practicing mathematics will bring Peace and Harmony in your life It provides us with a method for comprehending patterns, quantifying relationships, and making future predictions.
What do you mean by Peace?In the absence of animosity and violence, peace is the idea of communal friendship and harmony.
Critical thinking about our surroundings is referred to as analytical thinking. Our capacity for reasoning is what allows us to approach problems logically. The ability to think critically and rationally is crucial since it aids in issue solving and solution seeking.
Understanding the world through mathematics also helps us develop mental discipline. Math fosters logical reasoning, critical analysis, inventiveness, abstract or spatial thinking, problem-solving aptitude, and even good communication abilities.
Therefore, It gives us a way of understanding patterns, measuring relationships, and forecasting the future.
Learn more about Peace, here;
https://brainly.com/question/7382565
#SPJ2
denise rode 3 kilometers on a bike.clark rode 5000 meters on a bike. how many more meters did clark ride than denise
In linear equation, Clark rode 2 kilometres more than Denise .
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Equations whose variables have a power of one are called linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.
Denise rode 3 kilometres .
Clark rode 5000 metres which is 5 kilometres .
So , Clark rode 2 kilometres more than Denise .
Learn more about linear equation
brainly.com/question/11897796
#SPJ4
Okay so if I have a 67 as my overall grade and I get the exact thing for my final exam am I literally getting a 0 as my grade please I’m freaking out???
Answer:
No.
Step-by-step explanation:
Don't worry. Yes, your grade will decrease but won't go to 0.
Answer: It all depends on how weighted your final exam is on your overall grade compared to other assignments.
does 2+x have an y-intercept of 2 and slope of 1
Need this question answer quickly
By applying the exterior angle of a triangle theorem, m<WUV = 19°
What is an exterior angle of a triangle?
The angle created by one side of a triangle and the subsequently extended side is known as the external angle of a triangle. A triangle has three exterior angles, and the sum of those three external angles is always 360 degrees.
Here, we have
The given parameters are;
ΔUVW with side UW extended to X
m∠UVW = (x + 19)°
m∠VWX = (5x +14)°
m∠WUV = (x + 13)°
Applying the exterior angle of a triangle theorem:
m∠WUV + m∠UVW = m∠VWX
(x + 13)° + (x + 19)° = (5x +14)°
2x + 32 = 5x + 14
32 - 14 = 5x - 2x
18 = 3x
x = 6°
Now, we put the value of x in m∠WUV = (x + 13)° and we get
m∠WUV = (6+13)°
m∠WUV = 19°
Hence, by applying the exterior angle of a triangle theorem, m<WUV = 19°
To learn more about the exterior angle of a triangle from the given link
https://brainly.com/question/446742
#SPJ1
A stock is priced at $85 per share and pays a quarterly dividend of $2. 10 per share. What is the dividend yield per stock share per year?
The dividend yield per stock share per year is 9.88 %
What Is the Dividend Yield?
The dividend yield, expressed as a percentage, is a financial ratio (dividend/price) that shows how much a company pays out in dividends each year relative to its stock price.
Given,
The stock price per share is = $85
Quarterly dividend is = $2.10
Now, for to find Dividend yield
Dividend Yield = Annual Dividends Per Share / Price per share
Annual Dividends Per Share = 4 * $2. 10
= $8.4
Price per share = $85
Now, plug in the values
Dividend Yield = 8.4 / 85
= 0.0988
Now, in percentage is
Dividend Yield = 0.0988 * 100
= 9.88 %
Hence, the dividend yield per stock share per year is 9.88 %
To read more about Dividend Yield.
https://brainly.com/question/20533209
#SPJ4