How to solve:
Let's follow his process step-by-step to analyze what property is being used. The breakdown is as follows:
Process:Jayden's work
Set up equation 9(2 + 7x)
Step 1 9(7x + 2)
Step 2 9(7x) + 9(2)
Step 3 (9*7)x + 18
Breakdown
Set up equation 9(2 + 7x)
Step 1: Commutative Property of Addition
This property states that when adding, the order of the numbers being added does not matter, and are therefore interchangeable.
Original equation: 9(2 + 7x)
Equation's formula: a(b + c)
Changed equation: 9(7x + 2)
Equation's formula: a(c + b)
By swapping the b and c values in the parentheses, Jayden is demonstrating the Commutative Property. Both will still produce the same sum.
Step 2: Distributive Property of Multiplication
This property states that the sum of two addends that are multiplied by the same number is equal to the product of that number multiplying the sum of both addends.
Original equation: 9(7x + 2)
Equation's formula: a(c + b)
Changed equation: 9(7x) + 9(2)
Equation's formula: a(c) + a(b)
By splitting the parentheses and multiplying each term separately, Jayden is demonstrating the Distributive Property. Both will produce the same product.
Step 3: Associative Property of Multiplication
This property states that the product of three terms, where one is outside of the parentheses multiplying the other two, is not affected by changing which term is on the outside of the parentheses.
Original equation: 9(7 * x) +18
Equation's formula: a(c*x) + (ab)
Changed equation: x(7*9) + 18
Equation's forumula: x(c*a) +18
By swapping the 9 and x variables, Jayden is demonstrating the Associative Property. Both will produce the same product.
Simplified:
Step 1 - Commutative Property
Step 2 - Distributive Property
Step 3 - Associative Property
Look at the screenshot
Answer:
The answer is d and b hope this helps!
out of these
two files and one is the question and the other is answers
Answer:
I believe it would be A.
Answer:
A
Step-by-step explanation:
because 65/90=x/100 is the formula for it.
PLEASE MARK ME AS BRAINLIST
I’m wondering if somebody can help me with this-
NEED HELP FAST!!!! NEED ANSWER IN 6 MIN!!!!!!!!!!!!!!
Answer:
28
Step-by-step explanation:
First find the area of the small rectangle, 16 then subtract that from the big rectangle, 44.
Answer:
28 sq. units
Step-by-step explanation:
Area (shaded) = Area (big rectangle) - Area (small rectangle)Area = 4 x 11 - 2 x 8Area = 44 - 16Area = 28 sq. unitsPls help again
100 Points
Answer:
p < 8
Step-by-step explanation:
Let p = number of pounds of candy Lena will buy
Given:
Candy = $5 per poundLena will spend less than $40Create an inequality using the given information:
⇒ 5p < 40
Solve the inequality:
⇒ 5p < 40
Divide both sides by 5
⇒ p < 8
Help Please I need it!!
Answer:
The graph has a greater slope.
Step-by-step explanation:
lucie and suzie buy greeting cards. lucie buys 10 more cards than one third of the girls’ total. how many more cards should suzie buy so that she has 10 more cards than two thirds of the girls’ total? assume that lucie does not make any purchases after her initial purchase.
QUICK I NEED AN ANSWER ASAP
Lucie must buy 5 more than half of Suzie's purchase to have 10 more cards than two thirds of the girls’ total
How to determine the number of cards?Represent Lucie's card with L and Suzie's card with S.
So, the total number of cards is:
Total = L + S
Lucie's number of cards can be represented as:
L = 10 + 1/3(L + S)
Multiply through by 3
3L = 30 + L + S
Subtract L from both sides
2L = 30 + S
Divide by 2
L = 15 + 0.5S
Let x represents the additional number of cards.
So, we have:
x + L = 10 + 2/3(L +S)
Substitute L = 15 + 0.5S
x + 15 + 0.5S = 10 + 2/3(15 + 0.5S + S)
Evaluate the sum
x + 15 + 0.5S = 10 + 2/3(15 + 1.5S)
Expand
x + 15 + 0.5S = 10 + 10 + S
Evaluate the sum
x + 15 + 0.5S = 20 + S
Subtract 0.5S from both sides
x + 15 = 20 + 0.5S
Subtract 15 from both sides
x = 5 + 0.5S
The above means that Lucie must buy 5 more than half of Suzie's purchase to have 10 more cards than two thirds of the girls’ total
#SPJ1
Read more about proportions at:
https://brainly.com/question/1781657
What is the volume of a sphere with a radius of 9.2 cm, rounded to the nearest tenth of a cubic centimeter?
Answer:
3262.9 cm^3
Step-by-step explanation:
Formula =
[tex] \frac{4}{3} \times \pi r ^{3} [/tex]
Pi = 3.145
So,
[tex] \frac{4}{3} \times 3.145 \times 9.2 ^{3} \\ = 3262.183595 \\ = 3262.9 cm^{3} [/tex]
Here you go
how do you express 11/20 as a percent
Answer:
The answer is 55%
1. 11÷20= 0.55
Now that the number is a decimal, we multiply 0.55 and 100 to get our result.
0.55 x 100 = 55%
Please help!! It has to be *TWO* angles
{An angle measures 150° less than the measure of its supplementary angle. What is the measure of each angle?}
Answer:
165° & 15°
Step-by-step explanation:
Let the first angle be 'a'
second angle be (a-150°)
a+(a-150°) = 180°
2a=180°+150°
2a=330°
a=330/2
a=165°
first angle is 165°
second angle is 165-150=15°
HELP ME FAST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
10 x 2 +4 = 24
Step-by-step explanation:
A tailor uses
75
yards of material to make
30
sweatshirts of the same size. At this rate, how much material is needed to make
1
sweatshirt?
Answer:
2.5 yards
Step-by-step explanation:
75÷30=2.5 yards
Hope this helps!
A clock is dropped and stops working. What is the probability that the second hand is stopped between the 12 and 1? Show how you solved the problem.
Answer:
The distance between any 2 consecutive numbers on a clock is 1/12 of the circumference
need help!!! how do i do this
Answer:
A
Step-by-step explanation:
typ 2^0 in you calculator
Please Help!!
What type of transformation happened from (x,y) --> (-x,y)?
-----
A.Rotation 90*
B.Reflection over the y-axis
C.Translation left 1
D.Reflection over the x-axis
Answer:
B
Step-by-step explanation:
This is a reflection over the y-axis. The x value is changing sign while the y value is staying the same. The general rule for a reflection over the y axis is (x,y) --> (-x,y), and similarly for a reflection over the x axis is (x,y) --> (x,-y). When you reflect a point over an axis, you flip the sign of the opposite value.
a town credits the introduction of a drunl driving law for reducing fatal automobile accidents by over 50% the year it first took effect. the bar graph here shows the number of fatal automobile accidents in that town from 2000 to 2008 what year did the law first take effect
A. 2001
B. 2002
C. 2003
D. 2005
Answer: 2001
Step-by-step explanation:
Dropped from 35 to about 17.5.
Please Help me out!
1.) Hexagon: x = _______
Set up a proportion to solve for y.
y = _______
2.) Set up a proportion to solve for z.
z = __________
Answer:
1. x = 82 y = 402. z = 80What is the answer??5(-2)(-1)(2)
Answer:
-20
Step-by-step explanation:
multiply 5*-2*-1*2
Molly is painting a model house and needs to know how much paint she will need. She knows the surface area of the prism is 216 square inches and the surface area of the pyramid is 84 square inches.
1. Which surface is shared by the two solids? What are the dimensions of this surface?
2. There is another surface that Molly does not need to paint, because it won’t show when she displays the model house. Describe that surface, and explain why it doesn't need to be painted.
3. To find the area Molly needs to paint, she should add the surface areas of both solids and subtract:
twice the area of the triangle
twice the area of the square
three times the area of the square
the area of the square
4. Find the area Molly needs to paint. Show your work, and be sure to include units with your answer.
Oh and here's an image to help you out
Answer:
1. a square which is 6 × 6in
2. the inside of the prism or cube as it is not seen from the outside
3. the area of the square - 6 × 6 = 36in
4. 6 x 6 = 36 / one face of prism
× 5 = 180
4 × 6/2 = 12 / one face of pyramid
x 5 = 60
60 + 180 = 240
can u devide in graphs?
Answer:
yes I can devine in graphs
5 tons of mulch cost $37,800.00. What is the price per pound?
Answer:
$3.78 per pound
Step-by-step explanation:
5 tons = 10,000 lbs
37,800/10,000 = 3.78
Help please!! What can you tell about the mean of each distribution?
Answer:
I think it's c I have looked it through and now I think it's c
3. Which two integers are 7 units away from the number 5 on a number line?
A. -2 and 2
B. -2 and 7
C. -7 and 7
D. -2 and 12
Answer:
2B
3D
Step-by-step explanation:
2A is
a/b + -a/-b = a/b + a/b = 2a/b
this is NOT 0/0. you can't add numerator and denominator. when you have the same denominator, you can only add the numerator.
and don't forget : -×- and -/- are both + !
2B
you do not multiply anything. you ADD (but again NOT the denominators) !
and +×- or +/- = - !
overall this this adding a negative number to the same positive number. the result : always 0
2C
cannot be added like that. first you would have to bring both to a common denominator. but then you ADD !
2D
very similar to 2C.
3
5 + 7 = 12
5 - 6 = -2
these are the 2 integers 7 units away from 5.
know the answer for this???
x = 5 makes 2x≤ 10 true but not 2x < 10 because "≤" means less than or equal to, which means 2x would be the same as 10, so 10 ÷ 2 = 5, x = 5.
Answer:
Step-by-step explanation:
2x ≤ 10, when x = 5
2(5) ≤ 10
10 ≤ 10 (10 is less than OR equal to 10)
2x < 10, when x = 5
2(5) < 10
10 < 10 (10 is less than 10) - that is false
x = 5 does not makes 2x < 10 true because 10 can't be less than 10.
Hope this helps!
What is the slope of the equation2y=6x-8
4
2
6
3
please help
Step-by-step explanation:
2y=6x-8
Divide the equation by 2
y=3x-8 => y=MX+c
m=3
slope is 3
PLEASE HELP
City A and city B each have 10 parks. The table shows the number of acres for each park in the two cities.
City A : 6 9 10 7 10 10 2 5 8 8
City B : 5 10 8 11 7 12 6 5 4 5
Select from the drop-down menus to correctly complete each statement.
1. The mean number of acres for each park for the two cities is:
A. About the same
B. Much greater for City A than for City B
C. Much greater for City B than for City A
2. The range for the number of acres for parks for the two cities is:
A. The same
B. Greater for City A than for City B
C. Much greater for City B than for City A
Answer:
1. A, About the same
2. A, The same
Step-by-step explanation:
For the mean, add them up and divide by 10. The two answers are almost the same. (0.2 of a difference)
For the range of both, find the biggest number in each set, and minus the smallest number in the set from the biggest.
Answer:
1. A, about the same
2. A, the same
Step-by-step explanation:
Rotation: 90% ccw about the origin
After 5 years, $40,000 deposited in a savings account with simple interest had earned $26,000 in interest. What was the interest rate?
∠M and ∠Nare supplementary. If m∠N= 33°, what is ∠M?
Answer:
∠M will be 147°
Step-by-step explanation:
Supplementary means adding up to 180° so take your 180° to subtract 33° from it and you'll have your answer.
Answer:
147
Explanation:
Supplementary angles all equal to 180, so that means that <M and <N must be both equal to 180.
If you want to find <M, you have to do 180 - 33, which equals to 147.
ASAP What percentage of total expenses is spent on housing? (round to nearest whole percent)