⊂_ヽ
＼＼ Λ＿Λ
＼( ˇωˇ)
> ⌒ヽ
/ へ＼
/ / ＼＼
ﾚ ノ ヽ_つ
/ / GOT DAT
( (ヽ
| |、＼
| 丿 ＼ ⌒)
| | ) /
ノ ) Lﾉ
(_／
Which expression is equivalent to the given expression after using the distributive property?
9(x + 3) + 15x
9 · x + 9 · 3 + 15x
9(x + 3 + 15)x
9 · x + 9 · 3 + 9 · 15x 9 · x + 3 + 15x
Answer:
the answer is b 9 · x + 9 · 3 + 15x
The expression 9(x + 3) + 15x is equivalent to the given expression.
Given,
9(x + 3) + 15x = 9 · x + 9 · 3 + 15x
9(x + 3 + 15)x = 9 · x + 9 · 3 + 9 · 15x 9 · x + 3 + 15x
We need to find which expression is equivalent to the given expression after using the distributive property.
What is distributive property?We have the distributive property of multiplication over addition and subtraction.
Example:
- distributive property of multiplication over addition
= a x ( b + c )
= a x b + a x c
- distributive property of multiplication over addition and subtraction.
= a x ( b - c )
= a x b - a x c
Find the expression using the distributive property.
We have,
- 9(x + 3) + 15x
= 9 · x + 9 · 3 + 15x
This is equivalent to 9 · x + 9 · 3 + 15x
- 9(x + 3 + 15)x
= ( 9 · x + 9 · 3 + 9 · 15 ) x
= 9 . x . x + 9 . 3 . x + 9 . 15 . x
This is not equivalent to 9 · x + 9 · 3 + 9 · 15x 9 · x + 3 + 15x
Thus the expression 9(x + 3) + 15x is equivalent to the given expression.
Learn more about application of the distributive property here:
https://brainly.com/question/225641
#SPJ2
Point M is on line segment LN. Given LN = 2x - 5, MN= x - 1, and LM = 3, determine the numerical length of LN.
Answer: 9
Step-by-step explanation: 3 is one half of the line and x-1 is the other. 2x-5 is the whole line so 3+x-1=2x-5 is our equation. Solve for x and you get 7. Then replace x with 7 in 2x-5 and you will get an answer of 9.
The numerical length of LN is 7 units.
It is required to determine the numerical length of LN.
What is midpoint ?The midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.
Given :
Point M is on line segment LN.
LM = 3
LN = 2x-5
MN = x-1
Use the Segment Addition Postulate:
L------------M--------------------------N
LM + MN = LN
3 + x-1 = 2x-5
2+5=2x-x
7=x
Hence, the numerical length of LN is 7 units.
Learn more about midpoint here:
https://brainly.com/question/17404643
#SPJ2
Use the drop-down menus to complete each equation so the statement about its solution is true. No Solutions 8x – 2 – 5x + 7 = x + One Solution 8x – 2 – 5x + 7 = x + Infinitely Many Solutions 8x – 2 – 5x + 7 = x +
No solution is 3x + 4
One solution is 2x + 4
Infinitely many solution is 3x + 5
Step-by-step explanation:
Rewrite 4 - 5 using the additive inverse and display the new expression on a number line
When you rewrite subtraction using the additive inverse, you add the opposite. That is, -5 becomes +(-5).
The appropriate choice is ...
... 4 + (−5) A horizontal number line is shown with labels from negative 8 to positive 8. A blue arrow begins at 0 and goes to 4. A red arrow begins at 4 and goes to negative 1.
FACTOR !!!
a) 5x^2+25
b) 2x^2-3x-2
Step-by-step explanation:
(a): 5x^2 + 25 = 5 * x^2 + 5 * 5 = 5(x^2 + 5).
(b): 2x^2 - 3x - 2 = 2x^2 - 4x + x - 2
= 2x(x - 2) + 1(x - 2) = (2x + 1)(x - 2).
Solve for w.
-24= -8w
10 POINTTSSS answer fast The formula a = m − n represents the actual cost, a, of an item with original price m after a coupon for n dollars off is applied. Solve the formula for the amount of the coupon. Group of answer choices n=m−a n = a − m n = −m − a n=a+m
Answer:
n = m - a
Step-by-step explanation:
Given:
a = m − n
Where,
Actual cost of the item = a
Original price of the item = m
Amount of Coupon = n
Solve the formula for the amount of the coupon
Making n the subject
a = m − n
Subtract m from both sides
a - m = m - n - m
a - m = - n
Divide both sides by -1
(a - m) / -1 = -n / -1
- a + m = n
Can also be written as
n = m - a
37 = −3 + 5(x + 6) multi step equation step by step pls
Answer:
x = 2
Step-by-step explanation:
37 = -3 + 5(x+6)
37 + 3 = 5*x + 5*6
40 = 5x + 30
40 - 30 = 5x
10 = 5x
x = 10/5
x = 2
Check:
37 = -3 + 5(2+6)
37 = -3 + 5*8
37 = 40 - 3
3p + 7 = -4(4 - 6p) + 2
p=1
Step-by-step explanation:
[tex]3p + 7 = - 4(4 - 6p) + 2 \\ 3p + 7 = - 16 + 24p + 2 \\ 3p - 24p = - 16 + 2 - 7 \\ - 21p = - 21[/tex]
[tex] \frac{ - 21p}{ - 21} = \frac{ - 21}{ - 21} \\ p = 1[/tex]
Answer:
p = 1
Step-by-step explanation:
Given
3p + 7 = - 4(4 - 6p) + 2 ← distribute and simplify right side
3p + 7 = - 16 + 24p + 2
3p + 7 = 24p - 14 ( subtract 3p from both sides )
7 = 21p - 14 ( add 14 to both sides )
21 = 21p ( divide both sides by 21 )
1 = p , that is p = 1
11. Tom is making a triangular enclosure in his yard. He plans on using two old fence posts as vertices, and will place a new fence post for the third vertex. The old posts are located at (- 5, 4) and (2, 6) , where the coordinates are given in feet. If he has 25 feet total of wire fencing available to close off the area , how much wire fencing will he have left, after he connects the two posts he has already placed ?
Answer:
18 Feet of fencing
Step-by-step explanation:
hope this helps
Make "t" the subject of the formula s=2t+5.
Answer:
t = [tex]\frac{s-5}{2}[/tex]
Step-by-step explanation:
Given
s = 2t + 5 ( subtract 5 from both sides )
s - 5 = 2t ( divide both sides by 2 )
[tex]\frac{s-5}{2}[/tex] = t
50 POINTS!!!!!.......SOMEONE HELP!!IT IS VERY EASY!!
Which of the following is not a characteristic of a line?
Series of points
Undefined term
No depth or width
Two endpoints
Answer:
has two endpoints
Step-by-step explanation:
a line goes on forever but a segment does have two endpoints
In a simple frequency distribution, to determine _______________, we divide the observed range by the number of intervals.
Answer:
Interval width
Step-by-step explanation:
In normal statistics, we calculate range as difference between Maximum Value and Minimum Value of the data given.
However, in group simple frequency distribution, we have what we call interval width which is simply the range of values contained in each interval.
To determine this interval width, we we divide the observed range by the number of intervals chosen.
Choose the inequality that represents the following graph.
Answer:
The inequality that represents the second graph is: [tex]x\leq3[/tex]
Step-by-step explanation:
From the second number line, you can see that the circle is closed on positive 3 and the arrow is pointing left - the direction of negative numbers, so you know that the value of x must be less than or equal to 3. Thus, you can write the inequality: [tex]x\leq3[/tex] - X is less than or equal to 3
Hope this helps!
what is the gcf for 84 and 54
14) If Danny has
of $1.00, how much change does Danny have?
WHATS THE ANSWER
The path of a rotation is defined by a
Axis
Step-by-step explanation:
A rotation is a circular movement of an object around a center (or point) of rotation. A three-dimensional object can always be rotated about an infinite number of imaginary lines called rotation axes . If the axis passes through the body's center of mass, the body is said to rotate upon itself, or spin. A rotation around an external point, e.g. the planet Earth around the Sun, is called a revolution or orbital revolution, typically when it is produced by gravity. The axis is called a pole.
Convert 32% to a fraction. Make sure your answer is fully reduced.
Answer:
8/25
Step-by-step explanation:
32/100
Find what value can divide the numerator's value (32) and the denominator's value (100) into a whole number, for this problem, 4 is the value that can do this.
32/4= 8
100/4= 25
8/25
Tanya bought three adult tickets and one children's ticket to a movie for 24.60 Li bought five adult tickets and four children's tickets for 50.10 . Find the cost of one adult ticket and the cost of one children's ticket.
Answer:
adult tickets 6.9
children tickets 3.9
Step-by-step explanation:
3x + y = 24.60 L1
5x + 4y = 50.10 L2
5L1 - 3L2
15x + 5y = 123
-15x - 12y = -150.3
-7y = -27,3
y = -27,3/-7
y = 3.9
3x + y = 24.60
3x + 3.9 = 24.60
3x = 24.60 - 3.9
3x = 20.7
x = 20.7 / 3
x = 6.9
originally priced at 48.69, a wallet was found on a 10% off rack. What is the sale price of the wallet
Candice bought jelly beans that are on sale for $1.50 a pound. If Candice paid a total of $12.75 for the jelly beans, how many pounds of jelly beans did she buy?
Answer:
she bought 8.5 pounds of jellybeans
Step-by-step explanation:
12.75 divided by 1.5 gets 8.5
x + y + 8x + 1; use x=6 and y=8
Answer:
63
Step-by-step explanation:
Step 1:
6 + 8 + 48 + 1
Step 2:
14 + 49
Answer:
63
Hope This Helps :)
3x4y + 2xy - 7x + 9
The answer
if u can, pls help me ( I WANTED TO PUT 30 POINTS, BUT I ACCIDENTALLY CLICKED 10
what is greather than -7
what is less than -2
Answer:
The greater than of -7 is 7. The less than -2 is 2.
Step-by-step explanation:
It's the same distance from both but, the positive number always been greater than negative number.
Both questions have an infinite number of correct answers.
Here are six numbers that are greater than -7:
-6.99999, -4, 0, 3, π, 4.00001
Here are six numbers that are less than -2:
-2.00001, -3, -π, -4, -136, -201.358
1. Solve -35 = -5x ........................
Answer:
x = 7.
Step-by-step explanation:
-5x = -35
x = -35 / -5 = 7.
HELP Drag and drop the tiles with the coordinate points, so they match up with an equation that they satisfy (0,5) y = 13x + 5 y=-3x y = x - 10 (0,0) (8,-2) (-2,-21) (-5, -15) (-39)
Answer:
Step-by-step explanation:
1. y = 13x + 5
y = 13(0) + 5
y = 0 + 5
y = 5
(0,5)
y = 13(-2) + 5
y = -26 + 5
y = -21
(-2, -21)
2. y = -3x
y = -3(-3)
y = 9
y = -3(0)
y = 0
(0,0)
(-3,9)
3. y = x - 10
y = -5 - 10
y = -15
(-5, -15)
y = 8 - 10
y = -2
(8, -2)
The correct options are:
1. y = 13x + 5 ⇒ (0,5)
2. y = -3x ⇒ (0,0)
3. y = x - 10 ⇒ (8, -2)
What are equations?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
What are the 3 types of equations?point-slope form,standard form,slope-intercept form.Learn more about the equation here brainly.com/question/2972832
#SPJ2
Simplify 5(2r+1)-3(-4r+2)
Answer:
22r-1
Step-by-step explanation:
5(2r+1)-3(-4r+2) Distribute the terms
10r+5+12r-6 Combine like terms
22r-1
Answer:
5 ×( 2r +1) - 3 × ( -4r +2)
= 10r +5 +12r -6
= 22r -1
please help me. I need to Convert 4.57 hectograms to milligrams.
Answer:
457000
Step-by-step explanation:
You are multiplying hectograms by 100000 in order to convert it into milligrams
Solve 5 (r +9) – 2 (1 - r) = 1.
The solution is r= ????
Step-by-step explanation:
5(r + 9) - 2(1 - r) = 1
5r + 45 - 2 + 2r = 1
7r + 43 = 1
7r = -42
r = -6.
Answer:
r = -6
Step-by-step explanation:
Given equation,
→ 5(r + 9) - 2(1 - r) = 1
Now the value of r will be,
→ 5(r + 9) - 2(1 - r) = 1
→ 5r + 45 - 2 + 2r = 1
→ 5r + 2r + 43 = 1
→ 7r = 1 - 43
→ 7r = -42
→ r = -42/7
→ [ r = -6 ]
Hence, the value of r is -6.