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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Two printing presses, working together, can complete a job in 2 hours. If one press
requires 6 hours to do the job alone, how many hours would the second press need to
complete the job alone?
The number of hours needed for the second press to complete the job is 3 hours.
What is an equation?An equation represents the relationship of two expressions on either side of the sign
Given that together they can complete a job in 2 hours and one takes 6 hours to complete the work alone.
If we let x = amount of time required for the second press to complete the job alone
We can write as:
Second press work = 1/x of the job per hour.
First press work = 1/6 of the job per hour.
Together work = 1/2 of the job per hour.
We can write the equation as:
1/6 + 1/x = 1/2
1/x = 1/2 - 1/6
1/x = (3 - 1)/6
1/x = 2/6
1/x = 1/3
x = 3
Thus number of hours needed for the second press to complete the job is 3 hours.
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Write an expression to represent the product of -3 and the square of a number decreased by 8
Answer:
-3 X (x^2 - 8)
Step-by-step explanation:
put "the square of a number decreased by 8" in parentheses so when -3 is multiplied with that, it does not get multiplied with y^2 and -8.
anytime you see "a number" in a sentence, put it as a random variable, in this case, I decided it should be "x".
I need help on this!!
I don’t see the lateral height, how do I solve for this??
In a students School, out of 4000 40% are & Boys. find the Percantage of girls Also find the no of girls. answer please
For the given question;
The total number of school students = 4000.
Percentage student of boys; 40%.
Thus the percentage of girls; 100 - 40 = 60
Thus, the total percentage of girls are 60%.
For finding the number of girls find the 60% of the total school students.
= 60% of 4000
= 60% × 4000
= (60×4000)/100
= 60×40
= 2400
Thus, the number of school girls are 2400.
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x + 4y= 15
2x-y=-15
Solve for X and Y
Step-by-step explanation:
work is shown and pictured
Multiply:
-2x(3x - 4)
Enter the correct answer
Answer:
- 6x² + 8x
Step-by-step explanation:
- 2x(3x - 4) ← multiply each term in the parenthesis by - 2x
= - 6x² + 8x
Which one is correct
All rhombus are parallelograms, parallelogram have exactly two pairs of parallel lines, therefore all rhombus have exactly two pairs of parallel lines, so option A is correct.
What is parallelogram?
A unique kind of quadrilateral created by parallel lines is called a parallelogram. A parallelogram can have any angle between its neighboring sides, but for it to be a parallelogram, its opposite sides must be parallel.
A quadrilateral with two sets of parallel sides is referred to as a parallelogram. Every rhombus is a parallelogram because its opposite sides are all parallel. But all parallelograms cannot be rhombus as a rhombus have all sides equal.
Both a square and a rhombus have equal numbers of sides. The square's diagonals are also perpendicular to one another and divide the opposing angles. A square is a rhombus as a result.
Thus, all rhombus are parallelograms as they have one pair of parallel sides.
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A is the midpoint of segment ST. Point A is located at (7,-1) and point S is located at (5,0). What are the coordinates of point T?
The coordinates of point T is (9,-2)
Given that A is the midpoint of segment ST. midpoint A has coordinates (7,-1) and point S has coordinates ( 5,0 ) and asked to find the coordinates of the point T
Let's assume the coordinates of the point T as(a,b)
Midpoint formula for a line segment having endpoints (x1,y1) and (x2,y2)
Let's assume the midpoint as (X,Y)
(X,Y)=([tex]\frac{x1+x2}{2}[/tex],[tex]\frac{y1+y2}{2}[/tex])
Here the endpoints of the linesegment ST are S(5,0) and T(a,b) and the midpoint of the linesegment ST is A and has coordinates (7,-1).
⇒(7,-1)=([tex]\frac{5+a}{2}[/tex],[tex]\frac{b}{2}[/tex])
⇒7=[tex]\frac{5+a}{2}[/tex]⇒14=5+a⇒a=9
⇒-1=[tex]\frac{b}{2}[/tex]⇒b=-2
Therefore,The coordinates of point T is (9,-2)
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Question.
Rectangle ABCD is shown above. Which of the following expressions
can be used to determine the length of diagonal AC?
O√64 - w²
O√64+w²
O 64-w²
O 64+w²
The length of the diagonal AC can be calculated using equations:
= √(64 + W²).
The correct option is B.
What exactly is the Pythagorean Theorem?The Pythagorean theorem states that the total of the squares upon that legs of a right triangle equals the square upon that hypotenuse (the side opposite this same right angle)—or, in popular algebraic notation:
a² + b² = c².
According to the given data:The length of the rectangle = 8
The width of the rectangle = w
The hypotonus of the rectangle = p
Using the Pythagoras formula:
P² = L² + W²
P = √(L² + W²)
Putting the value of Length = 8
P = √(8² + W²)
P = √(64 + W²)
The length of the diagonal AC can be calculated using equations:
= √(64 + W²).
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What is the slope of the line that passes through the points (-4,5) and (-7,8) ? write your answr in the simplest form
guys please help me i need your help nonsense report with solution please
Answer:
2.1/5
3.7/5
4.7/20
Step-by-step explanation:
2.1/5
3.7/5
4.7/20
Greetings from Brasil...
A - fraction addition/subtraction with equal denominators = keep the denominator and add/subtract only the numerators
B - fraction addition/subtraction with different denominators = we have to use LCM
2)
(10/15) - (7/15) - case A
(10 - 7)/15 = 3/15
3)
(8/10) + (3/5) - we can simplify the first fraction
(8/10) + (3/5) = (4/5) + (3/5) = (4 + 3)/5 = 7/5
4)
(3/4) - (2/5) - case B
LCM 4 and 5 = 20
(3/4) - (2/5) = 7/20
If two angles are congruent, this
means that they are
A. identical measurements
B. different measurements
C. always 90 degrees
the answer is A,
when 2 items are congruent it means they are the same or identical, eg "these triangles are congruent"
Chose the step below that correctly uses the distributive property to begin solving the equation: 2(x + 1) + 4 = 8 O 2x+5=8 Ox+1+2 = 4 O 2x + 2 + 4 = 8 O 2x + 1 + 4 = 8
2(x+1)+4
Distributive property : According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
solve equation by using distributive property we should use laws of this property that are as follows:
Expand the equation. Multiply (distribute) the first numbers of each set, outer numbers of each set, inner numbers of each set, and the last numbers of each set. Combine like terms.
2(x + 1) + 4 = 8
2(x)+2(1)+4=8
2x+2+4=8
2x+6=8
2x=8-6
2x=2
x=2/2
x=1
so final conclusion is Option A 2(x+1)+4=8 is the right answer
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The midpoint AB is (1,2). The coordinates of A are (-3,6) Find the coordinates of B
Can someone help me with this exercise and show me the procedure of how to do it??
========================================================
Explanation:
We have these points
A = (-3,6)M = midpoint = (1,2)B = (x,y)Focus on the x coordinates for now.
The x coordinates of A and B are -3 and x in that order. Add them up and divide in half to get the x coordinate of the midpoint M
(-3+x)/2 = 1
-3+x = 2*1
-3+x = 2
x = 2+3
x = 5
Repeat for the y coordinates
(6+y)/2 = 2
6+y = 2*2
6+y = 4
y = 4-6
y = -2
Therefore, the location of point B is (5, -2)
You can use a tool like GeoGebra to check your work.
Apply the associative and commutative properties of multiplication to write your expression as the product of groups of 2•4
Anna took a taxi from her house to the airport. the taxi company charged a pick-up fee of $3 plus $2.25 per mile. the total fare was $48, not including the tip. how many miles was the taxi ride?
Answer:
20
Step-by-step explanation:
The total fare, f, is:
f = 2.25x + 3
We want to solve for x. the number of miles. This is fairly simple if we know f.
48 = 2.25x + 3
48 - 3 = 2.25x + 3 - 3
45 = 2.25x
45/2.25 = 2.25x/2.25
20 = x
evaluate the expression
Answer: 3
Step-by-step explanation:
3 * 3 * 3 = 27
Answer:
3
Step-by-step explanation:
The expression is cube root.
The root function essentially wants to find a number that when multipled n times will give the input to the function.
In this case n = 3
We need a number when multiplied by itself 3 times will give us 27.
In other words we need [tex]x^{3}[/tex] = 27
If u rearrange u simply get the expression given and u can solve simply by way of calculator.
99×78+33×66=？
How to calculate it without using a calculator?
Answer:
cool hahahahhahahahahaha ano to app nato
Answer:
Do it on Paper.99 x 78 = 7722
+ 33
= 7755
x 66
= 511830Answer = 511830Hope this helpsace that workGood luck ✅
For which value of a does 4 = a +| x – 4| have no solution?
-6
0
4
6
Answer:
a = 6
Step-by-step explanation:
Hello!
First, let's isolate the Absolute Value bracket.
4 = a + |x - 4|4 - a = |x - 4|Based on the definition of Absolute value, the outcome should always be a positive number. Therefore, if the product, 4 - a, is a negative number, it will have no solutions.
That means a has to be greater than 4 for it to be negative. a should be 6.
a = 6
greg is 5yr. older than randy, who is 3yr. older than Wilson. the sum of their ages is 32. how old is greg
The ages of Wilson, Randy and Greg given their total ages is 7, 10 and 15 years respectively.
This means that the total ages of Wilson, Randy and Greg is 7 years, 10 years and 15 years.
AlgebraLet's represent the information above as follows:
Wilson's age = xRandy's age = (x + 3)Greg = (x + 3) + 5Total ages = 32The total ages = Wilson + Randy + Greg
That is, Wilson's age, Randy's age and Greg's ages is given as:
32 = x + (x + 3) + (x + 3) + 5
32 = x + x + 3 + x + 3 + 5
32 = 3x + 11
32 - 11 = 3x
21 = 3x
x = 21/3
x = 7 years
Therefore, from the calculations above,
Wilson's age = x
= 7 years
Randy's age = (x + 3)
= 7 + 3
= 10 years
Greg = (x + 3) + 5
= (10) + 5
= 15 years
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Of the students at Milton Middle School, 143 are girls. If 55% of the students are girls, how many total students are there at Milton Middle school?
A.
260
B.
325
C.
195
D.
130
hey can anyone help me out withthis question pls? we need to find the total surface area
Answer:
60000 cm squared 600 dm squared or 60 cm squared
Step-by-step explanation:
8+
49
6-
5
Based on the graph above, estimate (to one decimal place) the average rate of change from x = 1 to
x = 5.
The Average Rate of change of a function f on the interval [a , b] is given by
[tex]r=\frac{f(b) - f(a)}{b-a}[/tex]
Now, the given interval is [1, 5]
⇒ b=5 and a = 1
Since, the graph passes through (1, 3) and (5, 5)
⇒ f(1) = 3 and f(5) = 5
Thus,
[tex]r=\frac{f(5) - f(1)}{5-1}[/tex]
[tex]r=\frac{5- 3}{4}[/tex]
[tex]r=\frac{2}{4}[/tex]
[tex]r=\frac{1}{2}[/tex]
[tex]r=0.5[/tex]
∴ The Average Rate of change of the graph is equal to 0.5
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∠A and angle B∠B are complementary angles. If m angle A=(x+13)m∠A=(x+13)
and m angle B=(7x+13)^∠B=(7x+13) then find the measure of angle B∠B
The value of angle B is 69°.
How to calculate the angle?It should be noted that the sum of a complementary angle is 90°.
Therefore, the value will be:
x + 13 + 7x + 13 = 90
8x + 26 = 90
Collect like terms
6
8x = 90 - 26
8x = 64
Divide
x = 64/8
x = 8
Angle B = 7x + 13
= 7(8) + 13
= 56 + 13
= 69
Angle B is 69°.
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Express this number in scientific notation.
621,000
621,000=
(Use scientific notation. Use the multiplication symbol in the math palette as needed.)
Answer:
6.21 × 10⁵
Step-by-step explanation:
move thee decimal from .21000 thats how you get 5
*PLS HELPPP*
Yolanda is buying supplies for school. She buys n packages of pencils at $1.10 per package and m pads
of paper at $1.70 each. What does each term in the expression 1.1n +1.7m represent? What does the
entire expression represent?
The term 1.1n represents the (select)
The term 1.7m represents the (select)
The expression represents the (select)
Answer:
1.1n represents the cost of the pencils
1.7m is the cost of the pads of paper
The expression represents that she bought a package of pencils and a pad of paper
Step-by-step explanation:
Graph y=0.2x use the graph to find the value of x when y=-2,0,2
By graphing the equation y = 0.2x, we find that x is equal to -10 when y is -2, x is equal to 0 when y is 0, and x is equal to 10 when y is 2.
To graph the equation y = 0.2x, we can plot a few points and then connect them to create the line.
Let's calculate the corresponding values of x when y takes on the values of -2, 0, and 2:
When y = -2:
-2 = 0.2x
x = -2 / 0.2
x = -10
When y = 0:
0 = 0.2x
x = 0 / 0.2
x = 0
When y = 2:
2 = 0.2x
x = 2 / 0.2
x = 10
Using these values, we can plot the points (-10, -2), (0, 0), and (10, 2) on the coordinate plane. Drawing a line passing through these points, we obtain the graph of the equation y = 0.2x.
The graph will be a straight line that passes through the points (-10, -2), (0, 0), and (10, 2). The line will have a positive slope, indicating that as x increases, y increases at a slower rate.
The graph visually represents the relationship between x and y according to the equation y = 0.2x. It shows that for every increase of 1 unit in x, y increases by 0.2 units.
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(3x-5)/4 is less than or equal to -1
How to solve for x?
Step-by-step explanation:
[tex] \frac{3x - 5}{4} \leq1[/tex]
[tex]3x - 5 \leq1 .4[/tex]
[tex]3x - 5 \leq4[/tex]
[tex]3x \leq4 + 5[/tex]
[tex]3x \leq9[/tex]
[tex]x \leq \frac{9}{3} [/tex]
[tex]x \leq3[/tex]
x = {3,2,1,0,...}
in a class of 30 children
60% of the students are girls.how
Answer:
There will be 18 boys.
Step-by-step explanation:
im assuming you are looking for how many boys are left,I did 60% by 30 = 18
Answer:
there are 18 girls
Step-by-step explanation:
one really cool trick is the total like 30 x 0.60 this will give you the percentage
Help please for algebra
in slope intercept form:
y=mx+b.
slope of line:
-3/4
y intercept:
(0, 5/2)