Answers
Answer:
it denotes distributive property of multiplication over addition
distributive property of multiplication over addition. The distributive property states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the products together.
Related Questions
If 17% of gummy bears are red then how many red gummy bears will be red out of 300?
Answers
Answer: 51
Step-by-step explanation:
17% of 300 is 51
300 x .17 =51.
4(3x-1) = 5x+66 show all of your work
Answers
Cynthia Besch wants to buy a rug for a room that is 29 ft wide and 30 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 756 square feet of carpeting. What dimension should the rug have?
Answers
Answer:
Dimensions of rug:
Length = 28 ft
Width = 27 ft
Step-by-step explanation:
The given dimensions of the room is:
Length = 30 ft
Width = 29 ft
Area of carpeting = 756 sq ft
Kindly refer to the attached image.
Let the uniform strip around floor is of length = [tex]x[/tex] ft
This [tex]x[/tex] feet will be 2 times along the length and
2 times along the width of room.
So, length of rug = 30 -2 [tex]\times[/tex] [tex]x[/tex] and
Width of rug = 29 -2 [tex]\times[/tex] [tex]x[/tex]
It will be rectangular in shape.
Area of a rectangle is given as:
[tex]A = Length\times Width[/tex]
[tex]756 = (30-2x) (29-2x)\\\Rightarrow 756 = 870 - 118x+4x^2\\\Rightarrow 4x^2-118x+114=0\\\Rightarrow 2x^2-59x+57=0\\\Rightarrow 2x^2-57x-2x+57=0\\\Rightarrow x =1, -\dfrac{57}{2}[/tex]
Negative length not possible.
So,Length of strip, [tex]x = 1\ ft[/tex]
Dimensions of rug:
Length = 30 -2 = 28 ft
Width = 29 -2 = 27 ft
The lines shown below are parallel. If the green line has a slope of -17, what is the slope of the red line?
Answers
Answer:
it would be 17
Step-by-step explanation:
A store sells bouquets of fruits for $10 a bouquet. The daily cost to produce x bouquets of fruits is defined by the
function f(x) = - x4 + 3x3 + 5x2 + 20x + 1.
What is the least number of bouquets that must be sold for the store to make a profit?
3
4
5
6
Answers
Answer:
5
Step-by-step explanation:
Edgunity
Answer:
5 C
Step-by-step explanation:
even though the zeros are .401 and 4.819 its a real world problem and would only make sense to round. Once u round you have 1 and 5, and since 5 is greater, it must be 5.
Consider the function represented by the graph. What is the domain of this function?
Answers
easy - lots of points!!
For the function f defined by f(x) = 2x^2 – 3x, evaluate: f(x+3)
Answers
Answer:
2x² + 9x + 9
Step-by-step explanation:
To evaluate f(x + 3) substitute x = x + 3 into f(x), that is
f(x + 3) = 2(x + 3)² - 3(x + 3) ← expand (x + 3)² using FOIL
= 2(x² + 6x + 9) - 3(x + 3) ← distribute both parenthesis
= 2x² + 12x + 18 - 3x - 9 ← collect like terms
= 2x² + 9x + 9
Solve for x. Show steps.
1. 3x = 2x + 2
2. 3x + 5 = 4x + 1
3. 6x + 3 = 3x + 12
Answers
Answer:
1: x=2, 2: x=4, 3:x=3
Step-by-step explanation:
They are correct because i checked them
A student solved the equation 7 = 3(t - 1) - 2(t - 3) as shown below. Assume there is a value for t that satisfies the equation. Provide a justification for each step of the solution process. LaTeX: 7\:=\:3\left(t-1\right)-2\left(t-3\right)7 = 3 ( t − 1 ) − 2 ( t − 3 ) LaTeX: 7\:=\:3t\:-3-2t\:+67 = 3 t − 3 − 2 t + 6 LaTeX: 7\:=\:t\:+37 = t + 3 Justification: ? like terms
PLEASE ANSWER!!
Answers
Answer:
t + 3
Step-by-step explanation:
Calculate the number of latex
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Prompt: What does Lincoln hope to gain by using the statement, "let us judge not, that we be not
judged"? Justify your answer and support it with information from the source.
Help!!!!!
Answers
Possible Answer:
"Let us Judge not, that we be not judged" I belive it means to not judge others by there Race, Relgion, or Color.
PLEASE ANSWER THE FOLLOWING 4 QUESTIONS PLEASE BE HONEST
Answers
Answer: Answer
Step-by-step explanation:
The Blue One- 85
The Red One- 47
The Green One- 48
The Pink One- There were 6 penguins swimming in the sea. Two left, then 5 joined. How many penguins are there swimming in the sea now?
6 - 2 + 5 = x
Please let me know if my Math is correct!
please help, it’s a test and i don’t understand PLSPLS I HAVE LESS THAN AN HOUR!!!!
Answers
Answer:
1. obtuse
2. straight
3. acute
4. 62°
5. 72° ( I think, I'm not too sure on this one)
If 7 liters of petrol cost $14.70, calculate the cost of 15 liters of petrol.
Answers
Hi
7 = 14.70
15= X
so : X = 15*14.70 /7 = 31.5
15 liters of petrol cost 31.5
The cost of 15 liters of petrol if 7 liters cost $14.70 is $31.50
To calculate the cost of 15 liters of petrol if 7 liters of petrol cost $14.70,
First, we will determine the cost of 1 liter of petrol.
From the question,
7 liters of petrol cost $14.70
That is,
7L = $14.70
Then,
1 L = $14.70 ÷ 7
1 L = $2.10
∴ The cost of 1 liter of petrol is $2.10
Now, for the cost of 15 liters of petrol, we will multiply the unit price ($2.10) by 15
That is,
The cost of 15 liters of petrol = 15 × $2.10
∴ The cost of 15 liters of petrol = $31.50
Hence, the cost of 15 liters of petrol if 7 liters cost $14.70 is $31.50
Learn more here: https://brainly.com/question/23804367
What is the final point of (-2,1) Up 4, right 6 then reflect across the x-axis
Answers
3 Hundreds = ____ Tens
Answers
angle a measure 28 measure and angle b measure 74 what is is the measure of angel F
Answers
Answer:
78 degrees
Step-by-step explanation:
Assuming you are talking about a triangle, you would add 28 and 74 to get 102. Then subtract from 180.
28+74=102
180-102=78
Hope this helps :-)
Answer:
Assuming these are angles of a triangle, angel F should equal 78.
Step-by-step explanation:
All angles of any triangle add up to 180 degrees. 180-28-74=78.
Point O is on line segment NP. Given N P = 4x + 10, NO = 4x, and
OP = x + 5, determine the numerical length of NP.
Answers
Answer:
30
Step-by-step explanation:
Hope this will help:)
The numerical length of line segment NP will be 30 units.
What is a line segment?A line segment in mathematics has two different points on it that define its boundaries.
A line segment is sometimes referred to as a section of a path that joins two places.
Point O is on line segment NP.
Given NP = 4x + 10, NO = 4x, and OP = x + 5.
We know that for a line segment.
PN = PO + ON
4x + 10 = 4x + x + 5
x = 5
Then the numerical length of line segment NP will be
NP = 4x + 10
NP = 4(5) + 10
NP = 20 + 10
NP = 30
Then the numerical length of line segment NP will be 30 units.
More about the line segment link is given below.
https://brainly.com/question/25727583
#SPJ2
Which of the following numbers is a factor of 78?
Choose 1 answer :
A- 7
B- 4
C- 6
D- 9
Answers
Step-by-step explanation:
78 = 2 * 39 = 2 * 3 * 13.
Since 6 = 2 * 3 and its factors can be found in 78,
Hence the answer is 6. (C)
if gas cost $3.00 per gallon, what factors will determine how much gas you purchase?
Answers
Answer:
If you are on a budget it depends if you want to purchase $50 or another amount, while if you want to fill up the gas tank it depends on the cars' capacity. Some cars can take up to 11 gallons of gas, so if wanting to fill up the tank you would need to spend $33.
Hope this helps!
explain how to factorise i,j and n
Answers
Explanation:
I).
(x+5)^2 - 16 = 0
It’s in a form of: a^2 - b^2 = (a-b)(a+b)
(x + 5)^2 - 4^2 = 0
(x + 5 - 4)(x + 5 + 4) = 0
(x + 1)(x + 9) = 0
J.
(x - 4)^2 - 9 = 0
Same form: a^2 - b^2 = (a-b)(a+b)
(x - 4)^2 - 3^2 = 0
(x - 4 - 3)(x - 4 + 3) = 0
(x - 7)(x - 1) = 0
n).
(2y + 7)^2 - y^2 = 0
(2y + 7 - y)(2y + 7 + y) = 0
(y + 7)(3y + 7) = 0
Answer:
see explanation
Step-by-step explanation:
A difference of squares is factored in general as
a² - b² = (a - b)(a + b)
(i)
(x + 5)² - 16 ← is a difference of squares, that is
(x + 5)² - 4²
= (x + 5 - 4)(x + 5 + 4)
= (x + 1)(x + 9)
(j)
(x - 4)² - 9 ← is a difference of squares, that is
(x - 4)² - 3²
= (x - 4 - 3)(x - 4 + 3)
= (x - 7)(x - 1)
(n)
(2y + 7)² - y² ← is a difference of squares
= (2y + 7 - y)(2y + 7 + y)
=(y + 7)(3y + 7)
dilations PLEASE HELP ME PLEASE
Answers
Answer:
D' (6, - 6 )
Step-by-step explanation:
Assuming the dilatation is centred at the origin then multiply the coordinates of D by 3, that is
D (2, - 2 ) → D'(3 × 2, 3 × - 2 ) → D' (6, - 6 )
Order these numbers from least to greatest. 37.5%, 1/3, 0.3, 40%, 3/5.
Answers
Answer:
0.3, 1/3, 37.5%, 40%, 3/5Step-by-step explanation:
Given the numbers 37.5%, 1/3, 0.3, 40%, 3/5, before we can order the numbers from the least to greatest, we need to first express al the values in percentage.
For 1/3;
= 1/3 * 100
= 100/3
= 33.3%
For 0.3:
= 0.3 * 100
= 3/10*100
= 30%
for 3/5;
= 3/5 * 100
= 300/5
= 60%
Hence the numbers in percentage are . 37.5%, 33.3%, 30%, 40%, 60%
The values from the least to the greatest in terms of percentage is 30%, 33.3%, 37.5%, 40%, 60%
In term of the given values from least to greatest is;
0.3, 1/3, 37.5%, 40%, 3/5
jon used 64.6 of fower to make 8 loafs bread. how much flower did he use to make each loaf of bread
Answers
Answer:
8.075
Step-by-step explanation:
Since john used the flour on 8 different loafs, the best way to solve this would be to use division. You did not specify lbs or any other weight so that's the only answer I can provide.
Which statements are true based on the diagram?
Select three options.
1. Points N and K are on plane A and plane S.
2. Points P and M are on plane B and plane S.
3. Point P is the intersection of line n and line g.
4. Points M, P, and Q are noncollinear.
5. Line d intersects plane A at point N.
Answers
Answer:
Points N and K are on plane A and plane S.
Point P is the intersection of line n and line g.
Points M, P, and Q are noncollinear.
e2020
Step-by-step explanation:
According to the given diagram of Intersecting planes, Option (1), Option (3), Option (4) are True.
What are planes?A plane is a two-dimensional, flat surface that stretches indefinitely.
When does a point lie on a plane?A point is said to lie on a plane when it satisfies the equation of plane which is ax^3 + bx^2 + cx+ d = 0 and sometimes it is just visible in the figure whether a point is lying on a plane or not.
In Option(1) : Points N and K are lying on the line of intersection of plane A and S and will satisfy the equation of both planes.
In Option(2) : Point P is lying on both planes B and S, but the point M is lying only on plane B, hence this option is wrong.
In Option(3) : It is clearly visible the Point P is the point of intersection of lines n and g.
In Option(4) : It is clearly visible that Points M,P,Q are not lying on the same line, hence they are non-collinear.
In Option(5) : Line d intersects the plane A at point L and not point N, hence this is also wrong.
Hence the correct options are 1,3,4.
Learn more about planes:
https://brainly.com/question/26058064
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Simplify the problem using the distributive property.
2(3x-5)
4- 3(x+1)
Answers
Answer:
2(3x−5)(4)−3(x+1)
Distribute:
=24x+−40+(−3)(x)+(−3)(1)
=24x+−40+−3x+−3
Combine Like Terms:
=24x+−40+−3x+−3
=(24x+−3x)+(−40+−3)
=21x+−43
Answer:
=21x−43
2(3x-5)
6x-10
4-3(x+1)
4-3x+1
-3x+1+4
-3x+5
6x-10-3x+5
6x-3x+5-10
3x-5
hope it helps!
48/16 divided by 18/24
Answers
Answer:
4
Step-by-step explanation:
3/.75=4
Answer:
4
Step-by-step explanation:
48/16 equals to 3. 18/24 equals to 3/4 or 0.75. 3 divided by 0.75 equals to 4
5x - 9 = 7x + 6 - 2x
Answers
Answer:
Step-by-step explanation:
5
x
−
9
=
7
x
+
6
−
2
x
Since
x
is on the right side of the equation, switch the sides so it is on the left side of the equation.
7
x
+
6
−
2
x
=
5
x
−
9
Subtract
2
x
from
7
x
.
5
x
+
6
=
5
x
−
9
Move all terms containing
x
to the left side of the equation.
Tap for more steps...
6
=
−
9
Since
6
≠
−
9
, there are no solutions.
No solution
Answer:
x=15
Step-by-step explanation:
5x-9=7x+6-2x
7x-2x=5x
5x-9=5x+6
5x-5x=x
x-9=6
9+6=15
x=15
For a right triangle with coordinates (1,4),(4,4),(1,8), explain why both the distance formula and the Pythagorean Theorem can be used to find the length of the hypotenuse.
Answers
A problem states: "There are 2 more horses than cows in a field. There are 16 animals in the field in all. How many horses are there in the field?"
Let c represent the number of cows.
Which equation represents the situation?
c + 2 = 16
2c−2=16
2c + 2 = 16
2(c+2)=16
Answers
Answer: 2c + 2 = 16
Step-by-step explanation:
One group has 2 more than the other.
That means in total, they are the same but + 2.
Only 2c + 2 = 16 represents this.
How many solutions are there to the equation below? -46 = 3x + 7 x
Answers
Answer:
One
Step-by-step explanation:
7x+3x= - 46
10x= - 46
x= - 4.6
one answer