Complete the expressions using the distributive property and the greatest common factors.
25y + 30 = 5( __y + __ )
−12y + 15 = −3( __y + (__) )
36y − 9 = 3( __y − __ )
Answer the blanks, please
Answers
−12y + 15 = −3( 4y + (-5) )
36y − 9 = 3( 12y − 3)
Complete expressions using the distributive property are:
25y + 30 = 5( 5y + 6)−12y + 15 = −3( 4y + (-5) )36y − 9 = 3( 12y − 3)What is distributive property?This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.
Given three incomplete equations
25y + 30 = 5( __y + __ )
−12y + 15 = −3( __y + (__) )
36y − 9 = 3( __y − __ )
from equation 1
25y + 30
taking 5 common
=>5(5y + 6)
from equation 1
−12y + 15
taking -3 common
=>−3( 4y + (-5) )
from equation 1
36y − 9
taking 3 common
=>3( 12y − 3)
therefore, The Solved equation is a way of simplification using the distributive property.
Learn more about the distributive property here:
https://brainly.com/question/5637942
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Related Questions
Ben and Arnoldo are sharing snacks. They have peanut treats and coconut treats. Ben ate 2 of the peanut treats and 4 of the coconut treats for a total of 160 calories. Arnoldo ate 3 of the peanut treats and 2 of the coconut treats for a total of 140 calories. They wrote the system below to represent the number of calories there are in the two types of treats.
2 x + 4 y = 160. 3 x + 2 y = 140.
They found the solution to be (30, 25). How many calories are in each treat?
Answers
Answer:
It means there are 30 calories in peanut treat and 25 calories in coconut treat.
Step-by-step explanation:
There are 30 calories in peanut treat and 25 calories in coconut treat.
Given: Ben ate 2 of the peanut treats and 4 of the coconut treats for a total of 160 calories.
The equation corresponding to the above statement is
Also, Arnoldo ate 3 of the peanut treats and 2 of the coconut treats for a total of 140 calories.
The equation corresponding to the above statement is
i.e. x represents the number of calories in one peanut treat and y represents the number of calories in one coconut treat.
Also, the solution of system of linear equations is in the form of (x,y).
The given solution : (30,25)
It means there are 30 calories in peanut treat and 25 calories in coconut treat.
2) Thomas wants to find the difference
1/2 (6x - 2) - (2x + 1)
He does the following:
1/2 (6x - 2) - (2x + 1)
3x - 1 - x + 1/2 =
3x + x - 1 + 1/2 =
4x - 1/2
Is this correct? If not, show the correct procedure and explain where Thomas made his mistake.
Answers
Answer:
Thomas is not correct, x-2 is the correct answer
Step-by-step explanation:
Thomas made his mistake by multiplying the 1/2 by both (6x-2) and -(2x+1). Thomas should have multiplied the 1/2 by just the (6x-2).
Correct procedure:
1/2 (6x-2)-(2x+1)
(3x-1)-(2x+1)
3x-1-2x-1
x-2
(SHOW UR WORK) What is the result of 90.425 subtracted from 48.4?
20 points
Answers
Answer:
-42.025 hope this helps
Step-by-step explanation:
If the area of the rectangle is 112 square units, what is the area of the dark shaded part?
Answers
Determine the area and outer perimeter of the L O V E
Answers
Answer:
L is 75, O is 114, V is 76, E is 90
Step-by-step explanation:
I did it with Multiplication from the widths, and lengths
Which data set could be represented by the box plot shown below?
A horizontal boxplot is plotted along a horizontal axis marked from 20 to 36, in increments of 1. A left whisker extends from 24 to 27. The box extends from 27 to 33 and is divided into 2 parts by a vertical line segment at 31. The right whisker extends from 33 to 34. All values estimated.
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
242424, 272727, 292929, 303030, 303030, 313131, 323232, 343434, 343434
(Choice B)
B
242424, 252525, 292929, 303030, 303030, 313131, 343434, 343434, 343434
(Choice C)
C
242424, 252525, 292929, 313131, 313131, 313131, 323232, 343434, 353535
(Choice D)
D
242424, 252525, 292929, 303030, 313131, 313131, 323232, 343434, 3434
Answers
B)1,3,6,8,10,12,13,13,16,18,19
help ill give brainlest pls
Answers
Answer:
B and C
Step-by-step explanation:
This is because while C is smaller, it has the same angles as B.
What did the independence movements of Vietnam and Algeria have in common?
a
They were both American colonies.
b
They were both British colonies.
c
They were both French colonies.
d
They were both Japanese colonies.
Answers
Answer:
Its probably D.
Step-by-step explanation:
vietnam is a Japanese Colony and thats all i know
(i hope this helps)
help pls. 20 pts
Match each rational number with a point on the number line.
(Be sure to use the numbers 1 through 4 to indicate which rational number goes in each answer box)
Answers
Answer:
The correct option is Option D) A=-0.7,B=-9/16,C=-0.4,D=-5/16
Step-by-step explanation:
Consider the provided number line.
From the number line we can observed that:
1) A, B, C and D lies between -1 and 0.
2) Point A and B lies between -1 and -0.5
3) Point C and D lies between -0.5 and 0
Therefore, the value of A and B must have a negative value lying between -1 and -0.5
Also, the value of C and D must have a negative value lying between -0.5 and 0.
Now consider the provided options.
Option A) A=-5/16,B=-9/16,C=-0.7,D=-0.4
This is Incorrect representation because the value of C and D should lying between -0.5 and 0.
Option B) A=-0.4,B=-0.7,C=-5/16,D=9/16
This is Incorrect representation because the value of A and B should lying between -1 and -0.5.
Option C) A=9/16,B=-5/16,C=-0.4,D=-0.7
This is Incorrect representation because the value of C and D should lying between -0.5 and 0.
Option D) A=-0.7,B=-9/16,C=-0.4,D=-5/16
Here the value of A and B lying between -1 and -0.5 also the value of C and D lying between -0.5 and 0.
Also they are in ascending order from -1 to 0.
Hence, the correct option is Option D) A=-0.7,B=-9/16,C=-0.4,D=-5/16
Step-by-step explanation:
7b - 15 = 5b - 3
5c + 16.5 = 13.5 + 10c
20 + 3y = 10 - 2y
17 + 4h + 2 = 1 - 5h
Answers
1. 7b-15=5b-3
move 5b and 15
7b - 5b = -3 + 15
2b=12
b=6
2. 5c + 16.5 = 13.5 + 10c
5c=3
c=3/5
3. 20 + 3y = 10 - 2y
-5y=10
y=-2
4. 17 + 4h + 2 = 1 - 5h
19 + 4h = 1 - 5h
-9h=18
h=-2
2. c=3/5
3. y=-2
4.h=2
3. What CAN you do when serving the volleyball?
a. Stand on or over the service line.
b. Hit the ball out of bounds.
c. Have a teammate help the ball over the net on the serve.
d. Hit the net and the ball goes over to the other side.
Answers
Answer:
D because none of the others work. you have to stand behind the service line. you can't hit the ball out of bounds. a teammate can't touch it.
Jack is a renting a boat to go fishing with his friends. One rental company charges a fee of $20 plus $13.50 an hour. A second rental company charges a fee of $6 plus $17 an hour.
a. Let x represent the number of hours the boat is rented and y represent the total cost of the rental. Write a system of equations to represent the problem situation.
b. Determine when the first rental company will be a better deal for Jack than the second rental company.
Answers
Answer:
The first rental deal will be better after 4 hours
24x - 17 x ≥ 13x +15
Pls solve and add the equation if you can thank you :)
Answers
Given :-
[tex]24x - 17 x ≥ 13x +15[/tex]
Solving it,
[tex](24 - 17)x \geqslant 13x + 15[/tex]
[tex] = > 7x \geqslant 13x + 15[/tex]
[tex] = > 7x - 13x \geqslant 15[/tex]
[tex] = > (7 - 13) x \geqslant 15[/tex]
[tex] = > - 6x \geqslant 15[/tex]
[tex] = > x \leqslant - \frac{15}{6}[/tex]
By reducing to lowest terms, we get,
[tex]x \leqslant - \frac{5}{2}[/tex]
So, Value of x is [tex] - \frac{5}{2}[/tex]
24x + -17x = 13x + -15
Combine like terms: 24x + -17x = 7x
7x = 13x + -15
Reorder the terms:
7x = -15 + 13x
Solving
7x = -15 + 13x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-13x' to each side of the equation.
7x + -13x = -15 + 13x + -13x
Combine like terms: 7x + -13x = -6x
-6x = -15 + 13x + -13x
Combine like terms: 13x + -13x = 0
-6x = -15 + 0
-6x = -15
Divide each side by '-6'.
x = 2.5
Simplifying
x = 2.5
What is 8.5% tax on $40 purchase
Answers
Answer:
$43.40
Step-by-step explanation:
43.40
whoever answers correctly = brainliest
Answers
Answer:
fx
Step-by-step explanation:
The class is filling boxes that each hold 10 pieces of candy. Maria filled
6
4
5
boxes, Lucas filled
5
1
2
boxes, and Mateo filled
3
7
10
boxes. If they combine their candy and completely fill each box, how many full boxes will there be?
Answers
Answer:
16 boxes
Step-by-step explanation:
6 4/5+ 5 1/2+ 3 7/10
make all fractions with common denominators
6 8/10 + 5 5/10 + 3 7/10
combine like terms
6+5+3= 14
8+5+7 = 20/10 = 2
14+2 = 16
Answer:
550 pieces of candy (total), 150 pieces of candy for Maria, 200 pieces of candy for Lucas, 200 pieces of candy for Mateo.
Step-by-step explanation:
Maria filled
6 + 4 + 5 = 15 boxes of candy.
Lucas filled
3 + 7 + 10 = 20 boxes of candy.
Mateo filled
3 + 7 + 10 = 20 boxes of candy.
x = 10 pieces of candy.
15x = 150 pieces of candy (Maria).
20x = 200 pieces of candy (Lucas).
20x = 200 pieces of candy (Mateo).
150 + 200 + 200 = 550 pieces of candy in total.
Match each number to its opposite. 1. -17 1 __
2. -8 -31 __
3. -1 -11 __
4. 31 17 __
5. 11 8 __
Answers
Answer:A 117/55
Step-by-step explanation:Hope this helps
CAN SOMEONE HELP ME HERE PLEASE I ONLY HAVE THESE LEFT AND IM CONFUSED
Answers
Answer: B pickup truck a to b is 200 in 10secs c to d is 300 in 10secs you drive 40 miles in 20 min then you stop to get gas for 10 min then drive 40 miles back for 20 min.
Step-by-step explanation: cocomelan
Please help and hurry!
Answers
Work:
-10x-(-4y) will equal -10x+4y the minus minus will cancel out
Please like and brainiest
-10x-(-4y)
step-by-step explanation:
-10x-(-4y) = -10x+4y
-(-4y) = positive 4y
What is 2/5 over 3/7?
I need answer pls
Answers
Answer:
14/15
Step-by-step explanation:
2/5 /3/7 so you do 2/5 *7/3 = 14/15
Help me pleasee!!!!!
Answers
Answer:
option C is the correct answer
PLs HElp duw in a few secs 50 points!!!!
Answers
Answer:
[tex]f(t)=5 \cdot 3^t[/tex]
The following statements are true:
t = independent variablef(t) = dependent variableWhen f(5) = 1215, the "5" represents "5 years" and the 1215 represents 1215000 which is "1.215 million cars sold"help ill give brainlest pls
Answers
Miles owes one of his friends $8. If he borrows $15 from his parents, which of the following expressions could be used to find how much money he owes?
Answers
HELPPPPPPPPPPPPP ME!!!
Answers
Answer:
180 squred feet
Step-by-step explanation:
We simply multiply all three different areas of surfaces by two
Matthew made a scale model of the solar system for a science project. He created the planet Mercury with a diameter of 6 inches. According to the scale, what is the actual diameter of Mercury? *
Answers
Answer:
3000
Step-by-step explanation:
I'm learning this right now too!
500×6in=3000
John says the transformation rule (x, y) Right-arrow (x + 4, y + 7) can be used to describe the slide of the pre-image (4, 5) to the image (0, –2). What was his error?
points :)
Answers
Answer:
His error was that he used the wrong transformations. The transformations should have been 4 left and 7 down. Instead, John used the transformations of 4 right and 7 up. I hope this helps!
Step-by-step explanation:
Directions: Match the slope and y-intercept values to the correct boxes below.
PLEASE HELP!!!!!!
Answers
Answer:
slope is -3
y-intercept is 3
Step-by-step explanation:
Answer:
y-intercept: 3
Slope: -3
Step-by-step explanation:
y-intercept
To find the y-intercept, see what point on the y-axis (vertical bold line on the graph) the line passes through.
Slope
To find slope, find 2 points (from left to right) on the line and and put the height difference over the width difference in a fraction (simplify if possible). At points (0,3) and (1,0) there is a height drop of 3 (so -3) and a width of 1 and [tex]\frac{-3}{1}[/tex] gives you a slope of -3.
When you see a power raised to another power you should keep the base and multiply the exponents.
True or false
Answers
Answer:
True hope it helps
How can this model be used to verify the Pythagorean Theorem?
PLEASE HELP!!!!!!!!
A - Show that perimeters are the same.
B - Show that 16+9=25.
C - Show that 3+4=5.
D - Take the square root of 16.
Answers
Step-by-step explanation:
i think the answer is D but as i said . the base of so many right triangles sides are 3 ,4,5 so if you divide the biggest of them by 5 and divide the medium one by 4 and divide lowest one by 3 you should see a same number i think . but here you cant see