True or False: In –6x – 20 = –2x + 4(1 – 3x)
Given [tex]-6x-20[/tex]
Proof that it is equal to the [tex]-2x + 4(1 - 3x)[/tex] or not
[tex]-2x + 4(1 - 3x)[/tex]
Distribute
[tex]-2x+ 4-12x[/tex]
[tex]4-14x[/tex]
Not equal to the [tex]-6x-20[/tex] [tex]\neq[/tex] [tex]4-14x[/tex]
So, it is false
What is Distribute in math?
To "distribute" anything is to divide it up or to give someone a piece of it.
What does the mathematical distributive property mean then?
The distributive property is the distributive law of multiplication over operations in fundamental arithmetic, such as addition and subtraction.
Distributive property: What Is It?
This property states that multiplying the total of two or more addends by a number will provide the same outcome as multiplying each addend by the number separately and then adding the results together.
In other words, an expression of the type A (B + C) can be resolved as A (B + C) = AB + AC in accordance with the distributive property.
This characteristic also holds for subtraction.
A(B-C) = AB-AC
This demonstrates that the other two operands share operand A.
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Solve the equations. 1. 21-9 = 2.35 - 15 = 3.30 - 25 = 4.40 - 10 = 5.30 - 20 = 11.34 - 20 = 12. 22 - 12 = 13.30 - 10 = 14. 19-9- 15. 28 - 12 =
Answer:
12, 20, 5, 30, 10, 14, 10, 20, 10, 16
Step-by-step explanation:
1.) 21-9=12
2.)35-15=20
3.) 30-25=5
4.) 40-10=30
5.) 30-20=10
11.) 34-20=14
12.) 22-12=10
13.) 30-10=20
14.) 19-9=10
15.) 28-12=16
During a pudding eating contest, Jackie ate five and a half pudding
cups. His sister ate two and a quarter pudding cups. How many pudding
cups did they eat altogether?
PLS HELP ME BY SHOWING STEP BY STEP, THE EQUATION AND THATS IT PLS HELP IM DESPERATE!!
Work out the area of the shaded shape.
3cm
4cm
360 miles traveled on 12 gallons of gasoline? (write each rate as a unit rate)
The unit rate is 30 miles per gallon
How to calculate the unit rate ?The number of miles travelled is 360 miles
The number of gallons is 12 gallons
Therefore the unit rate can be calculated as follows
Unit rate= 360/12
= 30
Hence the unit rate is 30 miles per gallon
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The students in Mr. Bishop's class have written 28 poems. They are putting their poems together to make a poetry book. They put 4 poems on each page. So far, the students have made 5 pages. How many pages do they still need to make? ____ pages
Thang decided to borrow $7000 from his local bank to help pay for a car. His loan was for 3 years at a simple interest rate of 5%. How much interest will Thang pay
Answer:
He will pay $1,050 interest
Step-by-step explanation:
5% interest is paid every year for 3 years
5% * 3(years) = 15%
7000 * 15% = $1,050
$1,050
please help with question 20! thank you. it’s similar to a previous question i asked but i’m still not too sure how to approach it. thank you.
Answer:
118
Step-by-step explanation:
The key piece of information to focus on is that there are around 120 fruits. 15 is the biggest of the given divisors, and the gaps between multiples of 15 is the greatest (compared to 4 and 6) which will narrow down our options. Therefore we can first try approaching the problem by finding multiples of 15 that are close to 120.
The question says that when the number (let's call it A) is divided by 15, it leaves 13. Therefore we can express A as such:
A-13 = 15x OR 15x + 13 = A
Where 'x' represents a whole number showing that the number is divisible by 15.
The closest multiples of 15 to 120 are 105 (15*7), 120 (15*8), and 135 (15*9).
A is one of these numbers + 13, let's see which ones are closest:
105+13 = 118, 120+13 = 133, 135+13 = 148
118 is very close to 120, so let's check it with the other numbers:
118/4 = 29 r 2
118/6 = 19 r 4
The exact number of fruits is 118.
Hope this helped!
Answer:
118
Step-by-step explanation:
We are told that there are about 120 fruits.
Fruits divided equally among 4 students
Multiples of 4: 4, 8, 12, ... 112, 116, 120, 124, ...
Therefore, 116, 120 and 124 are closest to 120.
Add the given remainder of 2 to these numbers:
116 + 2 = 118120 + 2 = 122124 + 2 = 126Fruits divided equally among 6 students
Multiples of 6: 6, 12, 18, ... 108, 114, 120, 126 ...
Therefore, 114, 120 and 126 are closest to 120.
Add the given remainder of 4 to these numbers:
114 + 4 = 118120 + 4 = 124126 + 4 = 130Fruits divided equally among 15 students
Multiples of 15: 15, 30, 45, ... 105, 120, 135, ...
Therefore, 105, 120 and 135 are closest to 120.
Add the given remainder of 13 to these numbers:
105 + 13 = 118120 + 13 = 133135 + 13 = 148Therefore, as the total of 118 fruits is common to all three groups the exact number of fruits is 118.
Check
Divide 118 by each group of students:
118 ÷ 4 = 29 r 2118 ÷ 6 = 19 r 4118 ÷ 15 = 7 r 13As the remainders concur with the given amount of fruit left over for each group of students, this verifies that the exact number of fruits is 118.
5. One positive number is 3 greater than another positive number. When 12 is added to the square of the smaller number, the result is the same as four times the larger number. Find the two numbers.
Answer:
4, 7
Step-by-step explanation:
x = y + 3
y² + 12 = 4x
using the first equation in the second
y² + 12 = 4(y + 3) = 4y + 12
y² = 4y
y = 4
x = y + 3 = 4 + 3 = 7
How about members of a local professional sports team who are conducting a survey? which data collection method would provide biased results for the q
This is because they are likely to report their favorite game as soccer or some other related game.
What is survey explain?
In order to gather information about a service, product, or process, a survey is described as the act of looking at a process or questioning a predetermined sample of people. Surveys used to gather data ask a specific set of people about their beliefs, actions, or knowledge.What three sorts of surveys are there?
Most studies fall into one of three categories: exploratory, descriptive, or causal. Each has a distinct function and can only be applied in specified ways.
The biased result would be provided by the -
Ask people attending a soccer game
This is because they are likely to report their favorite game as soccer or some other related game.
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what is an equivalent fraction -9 - (-4 1/3)
Answer:
Step-by-step explanation:12
What is the slope of a line that passes through points (0,7) and (-3,0)
[tex]m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{0 - 7}{ - 3 - 0} \\ m = \frac{ - 7}{ - 3} \\ m = \frac{7}{3} [/tex]
PLEASE GIVE BRAINLIEST
A group of friends wants to go to the amusement park. they have $154.25 to spend on parking and admission. parking is $11.25, and tickets cost $35.75 per person, including tax. how many people can go to the amusement park?
4 people can go to the amusement park.
Let the number of people that can go to amusement park be x.
The parking fee will be paid once only, while cost of ticket will be multiplied based on the number of people.
Forming equation as per the given information in question -
11.25 + 35.75 × x = 154.25
Solving the equation as per the operators -
Shifting 11.25 to Right Hand Side of the equation
35.75x = 154.25 - 11.25
Performing subtraction on Right Hand Side of the equation
35.75x = 143
Shifting 35.75 to Right Hand Side of the equation
x = 143 ÷ 35.75
Performing division on Right Hand Side of the equation
x = 4
Therefore, 4 people can go to the amusement park.
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1. Which two points lie on a line with slope 2/3? A. (2, 0) and (3,0)
B. (3, –4) and (1, 2)
C. (0, 0) and (2, 3)
D. (–3, 2) and (0, 4)
2. What is the slope of the line that passes through the given points?
(6, –1) and (–3, –1)
A. undefined
B. 0
C. – 2/3
D. – 3/2
If you know the answers to the rest of the quick check please share them!
1. The two points that lie on a line with a slope of 2/3 are: D. (–3, 2) and (0, 4)
2. The slope is: B. 0.
How to Find the Slope of a Line?The formula for finding the slope of a line is:
Slope (m) = change in y/change in x
1. To find the two points that has a slope of 2/3, calculate the slope of each of them:
Slope for A = (0 - 0)/(3 - 2) = 0
Slope for B = (-4 - 2)/(3 - 1) = -3
Slope for C = (3 - 0)/(2 - 0) = 3/2
Slope for D = (4 - 2)/(0 -(-3)) = 2/3
Therefore, the two points that lie on a line with a slope of 2/3 are: D. (–3, 2) and (0, 4)
2. Slope of the line = change in y / change in x = (-1 -(-1))/(-3 - 6)
Slope (m) = 0/-9
Slope (m) = 0
The slope is: B. 0.
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Solve the equation, and enter the solutions from least to greatest. If there is only one solution, enter "n.a." for the second solution. or Reset Nextelect the correct answer from each drop-down menu. Consider this expression. The simplest form of the expression has in the numerator and in the denominator. 1/x+1/x-10=x-9/x-10
We need to know how to solve quadratic equation for this problem. The solution of the equation is x=1 and x=10.
An equation that has a variable with maximum degree two is called a quadratic equation. A quadratic equation can be solved by factorization method. Factorization method is a method where we group the variables together to find common factors among them. The common factors give the solution of the equation. Since a quadratic equation has variable of degree two it has two solutions. The roots of a quadratic equation can be real and unequal, real and equal or imaginary. If we solve the given equation we get a quadratic equation.
[tex]\frac{1}{x} +\frac{1}{x-10} =\frac{x-9}{x-10} \\\frac{x-10+x}{x(x-10)} =\frac{x-9}{x-10} \\2x-10=x(x-9)\\2x-10=x^{2} -9x[/tex]
[tex]x^{2} -9x-2x+10=0\\x^{2} -11x+10=0\\x^{2} -10x-x+10=0\\x(x-10)-1(x-10)=0\\(x-1)(x-10)=0\\[/tex]
Therefore the solution of the equation is x=1 and x=10.
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Here is a list of fractions.
15
20
3344
3
One of these fractions is not equivalent to
4
Write down this fraction.
12
16
26
32
21
28
Answer:
So bassiccalyy the answer is 3344/3 because it is not equivalent to 4
-2(7-x) + 4= -4
what’s “x” equal
Answer: x=3
Step-by-step explanation:
-2(7-x) + 4= -4
-14 + 2x + 4= -4
2x - 10= -4
2x = 6
x=3
Absolute value equations : solve for all values of y in the simplest form.
21=|7y|
All values of y in the simplest form are 3 and -3
How to solve for all values of y in the simplest form?The equation is given as
21 = |7y|
The above equation is an absolute value equation
When the above equation is expanded, we have the following equations
So, we have
-21 = 7y and 21 = 7y
Divide both sides of the equations by 7
So, we have
-3 = y and 3 = y
Rewrite as
So, we have
y = -3 and y = 3
Hence, all values of y in the simplest form are 3 and -3
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How do you write 0.00603 in scientific notation?
Answer: .[tex]306^{-3}[/tex]
Step-by-step explanation:
Answer: +6.03E-3
Step-by-step explanation:
[tex]0.00603=6.03*10^{-3}[/tex]
6.03*10⁻³=+6.03E-3
Givin g(x) = -x+4, solve for x when g(x)= 0
Answer:
x = 4
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
I got you bro dont worry
When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is?
When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.
We need to find the type of correlation when two variables vary along with each other but the data points are loosely scattered around the line of best fit.
What are scatterplots?A scatter plot helps find the relationship between two variables. This relationship is referred to as a correlation. Based on the correlation, scatter plots can be classified as follows.
Scatter plot for the positive correlationScatter plot for negative correlationScatter plot for null correlationA weak positive correlation indicates that, although both variables tend to go up in response to one another, the relationship is not very strong. A strong negative correlation, on the other hand, indicates a strong connection between the two variables, but that one goes up whenever the other one goes down.
Therefore, when two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.
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PLEASE HELP FAST!!
Select true or false:
The function -3(x + 2)(x - 5)³ > 0, when x < -2 or x > 5.
O True
O False
Answer:
false
Step-by-step explanation:
What is the perimeter of the triangle
The perimeter of the triangle is 40 units
Perimeter of a triangleFrom the question, we are to determine the perimeter of the given triangle
From the given diagram, we can observe that the triangle is a right triangle
The vertical length of the triangle is 15 units
and the horizontal length of the triangle is 8 units
Thus,
We can find the hypotenuse by using the Pythagorean theorem
Let the hypotenuse be h
Then,
h² = 15² + 8²
h² = 225 + 64
h² = 289
h = √289
h = 17 units
Now, for the perimeter of the triangle
The perimeter of a triangle is the sum of all its three sides
Thus,
The perimeter. P, of the triangle is
P = 15 + 8 + 17
P = 40 units
Hence, the perimeter of the triangle is 40 units
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HELP PLEASE!!!!!!!
1.What linear equation in slope-intercept form does this graph represent?
2.What was your thought process? Explain how you found your equation. Use complete sentences in your response.
3a. Write a real-world situation that could be modeled by this linear equation. (Your real-world example should be different from other posts.)
3b. Explain how you labeled the X axis and Y axis based on the situation you wrote in 3a.
The straight line graph, passing through points (0, 100) and (20, 400), can be described as follows;
1. y = 15•x + 100
2. The slope is first calculated, then the equation is expressed in the point and slope form
3a. A real world situation that can be modelled by the equation is the total cost of joining a gym.
3b. The x-axis represent the number of months of membership, while the y-axis represents the total cost of membership
Which method can be used to find the model linear equation?1. Points on the graph are; (0, 100) and (20, 400)
The slope, m, is therefore;
m = (400 - 100)/(20 - 0) = 15
The equation in slope and intercept form is therefore;
y - 100 = 15•(x - 0) = 15•x
y = 15•x + 1002. The equation of the graph is found based on obtaining two points on the graph, from which the slope can be calculated.
The slope and intercept form is obtained from the point and slope form by making y the subject
3a. A real world example is fitness service that has a joining fee of $100 and a monthly payment of $15
3b. The labels for the x and y axis based on the above situation are;
The x-axis represents the number of months of joining the fitness serviceThe y-axis represents the total amount paidLearn more about slope and intercept form of linear equations here;
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PLS Help.............................
Answer:
Top to bottom
1
30
9
45
Step-by-step explanation:
Solve for x.
3x = 6x-2
x=2|3
x=3/2
x=2
Answer:
2/3
Step-by-step explanation:
Given the quantities a=3.7m, b=3.7s, c=80m/s, what is the value of the quantity d=a^3/cb^2?
The value of the quantity d is 0.0462 m^2/s.
Here,
The quantities a=3.7m, b=3.7s, c=80m/s.
We have to find the value of d = a^3/cb^2
What is quantity?
A quantity is an amount, number, or measurement that answers the question 'how much?' Quantities can be expressed in numbers or non-standard units.
Now,
The quantities a=3.7m, b=3.7s, c=80m/s.
The value of d;
[tex]d = \frac{a^{3} }{cb^{2} }[/tex]
[tex]d = \frac{3.7*3.7*3.7 }{80 * 3.7^{2} }[/tex]
[tex]d = \frac{3.7}{80}[/tex]
[tex]d = 0.0462[/tex]
Hence, The value of the quantity d is 0.0462 m^2/s.
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I don’t understand this so if anyone can help?
Answer:
0.84
4.48
5.32
Step-by-step explanation:
If x represents a number, then write an expression
for the product of one more than the number with
one less than the number.
The value of algebraic expression for given is (x + 1)(x - 1)
What is an Algebraic expression?An algebraic expression is one that has been constructed using integer constants, variables, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.
A group of phrases containing letters and numbers that are joined using addition (+), subtraction (-), multiplication (*), and division (**) are known as algebraic expressions.
Let the number be x
Expression for given statement will be -
(x + 1)(x - 1)
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Write an equation for each line.
y-intercept-5/2, x-intercept-1/3
a.y = -5/2x -1/3
c. y = 2.5x + 7.5
b. y = 7.5x + 2.5
d. y = "-7.5x" - 2.5
The equation of the line is y = -7.5x - 2.5
How to determine the equation of the line?The given parameters are
y-intercept = -5/2
x-intercept = -1/3
A linear equation is represented s
y = mx + c
Where
c = y-intercept = -5/2
So, we have:
y = mx - 5/2
The equation x-intercept = -1/3 means that
y = 0 and x = -1/3
So, we have
0 = -1/3m - 5/2
This gives
1/3m = -5/2
Evaluate
m = -15/2
Substitute m = -15/2 in y = mx - 5/2
y = -15/2x - 5/2
Rewrite as
y = -7.5x - 2.5
Hence, the equation of the line is y = -7.5x - 2.5
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