You can use the commutative property to rearrange the problem like this, 18 + 28 * 28 * 28 * 28 = 130
Basically, you can use the properties of operations to solve 18 + 4(28) in various ways. Though whichever operation you apply must give you the same result. The result of 18 + 4(28) is 130.
Step-by-step explanation:The four basic types of properties of operations are commutative, associative, distributive and identity. These properties only apply to the operations of addition and multiplication.
According to the purplemath site, "The word 'commutative' comes from 'commute' or 'move around', so the Commutative Property is the one that refers to moving stuff around. For addition, the rule is 'a + b = b + a'; in numbers, this means 2 + 3 = 3 + 2. For multiplication, the rule is 'ab = ba'; in numbers, this means 2×3 = 3×2."
According to the splashlearn site, "the associative property of addition, the sum of three or more numbers remains the same regardless of how the numbers are grouped. Here's an example of how the sum does NOT change irrespective of how the addends are grouped. Here's another example. ( 75 + 81 ) + 34."
According to the mathwarehouse site, "In general, this term refers to the distributive property of multiplication which states that the. Definition: The distributive property lets you multiply a sum by multiplying each addend separately and then add the products."
According to the math site, "Identity property. The identity property for addition tells us that zero added to any number is the number itself. Zero is called the 'additive identity.' The identity property for multiplication tells us that the number 1 multiplied times any number gives the number itself."
Answer:
Sample response: Use the distributive property and expand 28, then distribute the 4 to 20 and the 4 to 8. Then you have 18 + 80 + 32. Use commutative property to reverse the order of 32 and 80 so that 18 and 32 are friendly numbers to add.
Step-by-step explanationWhich reasons did you include in your response? Check all that apply.
The distributive property can be applied to multiply 4(28) mentally.
The number 28 can be expanded to 20 + 8.
The commutative property can be applied to reverse the order of numbers.:
hope this helps \_(-^-)_/
I need to write an equation for One-fifth of a number x is 25
Step-by-step explanation:
that's it!! pls mark me as Branliest..
HELP!!! 35 POINTS Solve the equation. −7.8x=−1.56. x=?
Answer:
x = 0.2
Step-by-step explanation:
-7.8x = -1.56
-1.56/-7.8 = 0.2
x = 0.2
Answer:
[tex]x =\frac{1}{5}[/tex] or [tex]0.2[/tex] (they're the same)
Step-by-step explanation:
Divide each side by -7.8, so it now looks like this: x = 0.2Forgot what I do next.
Answer:
you do subtraction than the plus and you got your answer!
Hope this helps :)
Answer:
7h - 15h + 40 = -72
-8h + 40 = -72
take +40 on the other side of equation
-8h = -72-40
-8h = -112
h = -112/-8
h = 14
Step-by-step explanation:
Reflect the quadrilateral across the line y=x
A= 0,-3
D= -4,-3
C= 0,4
B= 3,3
Step-by-step explanation:
,
Simplify these algebraic expressions: (12x + 3 − 4x + 7) (8 − 7x − 13 + 2x) (−3x − 18 + 5x − 2) These are three separate equations.
Answer:
(2 (4 x + 5), -(3 x + 25))
Step-by-step explanation:
Simplify the following:
(12 x - 4 x + 3 + 7, 5 x + 2 x - 3 x - 7 x - 18 - 13 - 2 + 8)
Grouping like terms, 12 x - 4 x + 3 + 7 = (12 x - 4 x) + (3 + 7):
((12 x - 4 x) + (3 + 7), 5 x + 2 x - 3 x - 7 x - 18 - 13 - 2 + 8)
12 x - 4 x = 8 x:
(8 x + (3 + 7), 5 x + 2 x - 3 x - 7 x - 18 - 13 - 2 + 8)
3 + 7 = 10:
(8 x + 10, 5 x + 2 x - 3 x - 7 x - 18 - 13 - 2 + 8)
Factor 2 out of 8 x + 10:
(2 (4 x + 5), 5 x + 2 x - 3 x - 7 x - 18 - 13 - 2 + 8)
Grouping like terms, 5 x + 2 x - 3 x - 7 x - 18 - 13 - 2 + 8 = (-7 x + 2 x - 3 x + 5 x) + (8 - 13 - 18 - 2):
(2 (4 x + 5), (-7 x + 2 x - 3 x + 5 x) + (8 - 13 - 18 - 2))
-7 x + 2 x - 3 x + 5 x = -3 x:
(2 (4 x + 5), -3 x + (8 - 13 - 18 - 2))
8 - 13 - 18 - 2 = -25:
(2 (4 x + 5), -25 - 3 x)
Factor -1 out of -3 x - 25:
Answer: (2 (4 x + 5), -(3 x + 25))
6 divide by 1/3???????
Answer:
20
Step-by-step explanation:
1/3 = .3
6/.3 = 20
Answer:
18
Step-by-step explanation:
6 ÷ 1/3
changing the ÷ sign into × sign and taking reciprocal of the second term
6 × 3/1
putting 1 as the denominator of 6
6/1 × 3/1
now multiplying both terms
18/1
18
Solve for the indicated variable: 2p+5r=q for p
Answer:
p = [tex]\frac{q-5r}{2}[/tex]
Step-by-step explanation:
Given
2p + 5r = q ( subtract 5r from both sides )
2p = q - 5r ( divide both sides by 2 )
p = [tex]\frac{q-5r}{2}[/tex]
NEED HELP ALGEBRA 1
Which fraction has the least value?
A. 4/10
B. 12/25
C. 14/20
D. 28/50
E. 1/5
========================================================
Method 1
Use your calculator to find the decimal version of each fraction
4/10 = 0.4012/25 = 0.4814/20 = 0.7028/50 = 0.561/5 = 0.20We see that 0.20 is the smallest decimal of the list, so 1/5 is the smallest fraction of the list.
----------------------------
Method 2
To compare fractions, we need to get all of the denominators to the same value. A good target is the lowest common denominator (LCD)
In this case, the LCD is 100
4/10 = 40/100 .... multiply top and bottom by 1012/25 = 48/100 .... multiply top and bottom by 414/20 = 70/100 .... multiply top and bottom by 528/50 = 56/100 .... multiply top and bottom by 21/5 = 20/100 .... multiply top and bottom by 20The last fraction has the smallest denominator, so 1/5 is the smallest.
Roger is x centimeters tall and Olivia is y centimeters tall. Their oldest sister, Isabella, is 25 centimeters shorter than the double of the sum of Roger and Olivia's height. Write an expression for Isabella's height
Answer:
[2(x+y)-25]cmStep-by-step explanation:
Let the height of their oldest sister isabella be z centimeters. Roger is x centimeters tall and Olivia is y centimeters tall.
If their oldest sister, Isabella, is 25 centimeters shorter than the double of the sum of Roger and Olivia's height, this can be expressed as shown;
First let us get the sum of Roger and Olivia's height;
The sum of Roger and Olivia's height = (x+y)cm
The double of the sum of their ages = 2* (x+y)cm = 2(x+y)cm
Now if Isabella, is 25 centimeters shorter than the double of the sum of their ages, the expression will be [2(x+y)-25]
Since the height of isabella is z, the expression that model isabella's height will be expressed as z =[2(x+y)-25]cm
Identify the following pairs of angles as complementary, supplementary, adjacent, and/or vertical angles.
5. ABH and HBC
6. ABE and FBG
7. ABE and EBG
8. HBF and FBG
Please show all work and not just the answer.
Answer:
ABH and HBC ---- Complementary angles ( Sum of complementary anfges = 90 degrees )
ABE and FBG------Vertical angles (they are vertically opposite to each other and sum of the vertical angles =180
ABE and EBG-------Supplementary angles ( Sum of supplementary angles =180 degrees)
HBF and FBG----------Adjacent Angles(These two angles are next to each other/adjacent to each other )
Gomez has 30 cans of regular soda and 18 cans of diet soda. He wants to create some identical refreshment tables that will operate during the football game. He also doesn’t want to have any sodas left over. What is the greatest number of refreshment tables that Gomez can stock?
Answer: 6
Step-by-step explanation:
Given: Gomez has 30 cans of regular soda and 18 cans of diet soda.
He wants to create some identical refreshment tables that will operate during the football game and doesn't want any sodas left over.
Then, the greatest number of refreshment tables that Gomez can stock = GCD (30,18).
Since, 30= 2 x 5 x x 3
18= 2 x 3 x 3
GCD (30,18) = 2 x 3 = 6
Hence, the greatest number of refreshment tables that Gomez can stock is 6.
-1, 5, 15, 29, 41,
What is the next terms
Answer:
63
Step-by-step explanation:
-1,5,15,29,41,63
between the 2nd term and first term, we add 6
between the 3rd and 2nd, we add 10
between 4th and 3rd, we add 14
between 5th and 4th, we add 12
to get the next term, we add 22 to the fifth tern which is 63
this is how to get the 4th term 6 interval was added to 8 making 14 and to get the fifth, then add 2 to the difference of 10 making 12. 29+12=41..so to get the last term 14 was added to 8 making 22 and therefore 41+22=63
Whats the answer to this?
Answer:
153 cm^2
Step-by-step explanation:
The area is given by
A = b*h
= 17*9
=153 cm^2
Answer:
Step-by-step explanation:
A=(b1+b2/2)h
The formula is area= base 1 plus base 2 over 2 times the height.
The two bases are 17 cm. Let's add that in our formula.
A=(17+17/2)h
17+17= 34. Since 34 is over 2 in the parentheses, let's simplify that first.
A=(34/2)h
A=(17)h, because 34 divided by 2 is 17
The height, h, is 9 cm. Let's subsitute that into h.
A=(17)9
17 times 9 equals 153, so the area is 153² cm. :)
can anyone answer this question. A) How many scarves can be made from 7 1/2m of fabric, if each scarf requires 1 3/8m of fabric? B) will any fabric be left over? If so, how much? Will mark brainliest for the answers.
Answer:
A) 2
B) 13/16
A) If 1 3/8 = 1 scarf
7 1/2 = 7 1/2 ÷ 1 3/8
= 2.8125
so 7 1/2 can make 2 scarfs
B) remaining fabric is 0.8125
= 13/16
Emily is three years older than twice her sister Mary's age. The sum of their ages is less than 30. Let x represent Mary's age. Which inequality represents Mary's possible age?
Answer:
0 < x < 9
Step-by-step explanation:
Mary's age = x
Twice of Mary's age = 2x
Emily's age = (2x + 3) (we are told Emily is 3 years older than twice of Mary's age)
Given that the sum of their ages is > 30, we have the following expression:
[tex] (2x + 3) + x [/tex] > 30
Let's simply:
[tex] 2x + 3 + x [/tex] > 30
[tex] 3x + 3 [/tex] > 30
Subtract 3 from both sides
[tex] 3x + 3 - 3 [/tex] > [tex] 30 - 3 [/tex]
[tex] 3x [/tex] > [tex] 27 [/tex]
Divide both sides by 3
[tex] \frac{3x}{3} [/tex] > [tex] \frac{27}{3} [/tex]
[tex] x [/tex] > [tex] 9 [/tex]
Therefore, the inequality that represents Mary's possible age is: 0 < x < 9
d. 6 &1
-= 1, a & y are
c. 3&4
of
c. -2/3 d. -3/5
en a 60 are.
-b IVb2
+ 4ac
2a
-b7b2 - 4ac
d.
2a
a + 1/a
c.-5
d. 5
ents a
b.
GEducat
is not the lear
of facts, but the train
Dato:
Page
:
34
(where a=27 and
1) Find the value of 33 + b
b f16
Write an equation of the line that passes through the points. Use the slope-intercept form (if possible). If not possible, explain why and use the general form. Use a graphing utility to graph the line (if possible).
Answer:
y = 7/8x -1/2 y = mx+bm = slopeSlope = 7/8Step-by-step explanation:
[tex](4,3)=(x_1,y_1)\\(-4,-4)=(x_2,y_2)\\\\\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}\\ \\\frac{y-3}{x-4}= \frac{-4-3}{-4-4}\\\\\frac{y-3}{x-4}=\frac{-7}{-8} \\-8(y-3) =-7(x-4)\\-8y +24=-7x +28\\-8y =-7x +28-24\\-8y = -7x +4\\Divde\:both\:sides\:of\:the\:equation\:by\: -8\\\\\frac{-8y}{-8} = \frac{-7x}{-8} +\frac{4}{-8}\\\\y = \frac{7}{8}x -\frac{1}{2}[/tex]
Apply the Distributive Property first to solve the equation below. What operation will you need to use last? If instead, you divide first to solve the equation what operation would you need to use last? 24(d/4 -5)=156
Step-by-step explanation:
The distributive property is as follows :
[tex]a(b+c)=ab+ac[/tex] ....(1)
We need to solve [tex]24(\dfrac{d}{4}-5)=156[/tex] using distributive property
Applying property (1) on the LHS of given equation
Taking a = 24, b = d/4 and c = -5
So,
[tex]24(\dfrac{d}{4}+(-5))=156\\\\24\times \dfrac{d}{4}+24\times (-5)=156\\\\6d-120=156\\\\6d=156+120\\\\6d=276\\\\d=\dfrac{276}{6}\\\\d=46[/tex]
So, we get the value of d as 6 using distributive property.
Help please!!! Thank you
Answer: ∠ABE=20°
Step-by-step explanation:
∵ AB=BC
∴ ΔABC is a isosceles triangle
∵ ∠A=30
∴ ∠C=30
∵ The interior angle sum of triangle is 180°
∵ ∠A+∠B+∠C=180
30+∠B+30=180
∠B+60=180
∠B=120 (∠ABC)
∵ ∠EBD+∠ABE+∠ABC=linear pair
∴∠EBD+∠ABE+∠ABC=180°
4x+2x+120=180
6x+120=180
6x=60
x=10
∠ABE=2x=2(10)=20°
Hope this helps!! :)
Please let me know if you have any question
A manufacturer determines that the cost of making a computer component is4.161616 $. Write the repeating decimal cost as a fraction and as a mixed number.
Answer:
$4.161616 =
As a fraction
= $[(4 × 62500) + 10101]/62500
= $(260101/62500)
As a mixed number =
$[tex]4\frac{10101}{62500}[/tex]
Step-by-step explanation:
Cost of making a computer component = $4.161616
= $4 + $0.161616
6 numbers after the decimal , hence
0.161616 × 1000000/1000000
= 161616/1000000
= 10101/62500
We are told in the question to write the repetiting decimal cost as a fraction and as a mixed number
$4 + $0.161616 = $4 + 10101/62500
As a fraction
= $[(4 × 62500) + 10101]/62500
=$260101/62500
As a mixed number = [tex]$4\frac{10101}{62500}[/tex]
middle school work please help!!
Answer:
5.52 miles
Step-by-step explanation:
All you need to do in multiply 1.2 by 4.6 like this:
1.2 x 4.6 = 5.52 miles
I hope this helps
To pass an Examination consisting of four papers, candidates MUST score a mean mark of 40% or above and NOT less than 33% in each paper. The table below shows the marks for 3 students. Using the tables, which students passed the examination? Give reason(s).
Answer:
Josephine
Step-by-step explanation:
2 criteria was given to pass an exam:
1. At least, a mean mark of 40% must be achieved in the exam consisting of 4 papers
2. Score at least, 33% in each paper.
From the table given, and considering these two criteria, James definitely didn't pass the examination. He scored below 33% in one of the 4 papers. James scored 30% in Maths
Calculated the mean score for John and Josephine to determine if they meet the first criteria of having at least a mean score of 40%.
Mean score of John = (35 + 36 + 42 + 44) ÷ 4 = 39.25%
Mean score for Josephine = (60 + 55 + 38 + 75) ÷ 4 = 57%
Josephine passed the examination because she had a mean score of 57%, and also scored 33% and above in each test.
PLEASE HELP ME WITH THIS QUESTION!
Answer:
91
Step-by-step explanation:
the angle adjacent to x is corrsponding with angle 89 meaning it is the same:
180 - 89 = 91
Death Valley headquarters in California is 190 feet below sea level. Badwater, America's lowest point, is 92 feet lower than Death Valley headquarters. How far below sea level is Badwater? Badwater is feet below sea level.
Answer: Badwater is 282 feet below the sea level.
Step-by-step explanation:
Given: Death Valley headquarters in California is 190 feet below sea level. Badwater, America's lowest point, is 92 feet lower than Death Valley headquarters.
To find the depth of Badwater we need to add depth of Death Valley headquarters from sea level to the depth of Badwater from Death valley headquarters.
i.e. The Depth of Badwater from sea-level = 190 feet +92 feet
= 282 feet
Hence, Badwater is 282 feet below the sea level.
Answer:
282
Step-by-step explanation:
190+(92)=282
Thank you! :)
5)
Below is a data table that shows the growth of a plant in a garden. Use the data table to create a graph
that shows the height of the plant for each day recorded. Make sure you label your x and y-axis with a
correct scale. Use a scatter plot to create your graph.
Day # (days)
Plant Height (cm)
0
0
1
0.2
2
0.4
3
0.6
Plant Height
(cm)
I
4
0.8
5
1.0
6
1.2
0
Day #
Answer:
is number one ka matalab hindi me janiye to the meeting ko join date puchhrahai hai ki tum mere ko bohot achhi lagi aur attitude to nahin hai ki tum mere ko bohot achhi lagi aur attitude to nahin hai ki tum mere ko bohot achhi lagi aur attitude to nahin hai ki tum mere ko bohot achhi lagi aur attitude to nahin hai ki tum mere ko bohot achhi lagi aur attitude to nahin hai ki tum mere ko bohot achhi lagi aur attitude to
choose the correct statement
A. w=x+y
B. w=x+z
C. w=y+z
D. w=x+y+z
Answer: A. w = x+y
Step-by-step explanation:
w is an exterior angle so the two remote angles x and y has to equal it.
Answer:
w = x+y
Step-by-step explanation:
The exterior angle of the triangle is equal to the sum of the opposite interior angles of the triangle
w = x+y
Let f be a linear function such that f(1) = 5 and f(3) = 9. Find an equation for f(x).
Answer:
[tex]f(x)=2x+3[/tex]
Step-by-step explanation:
So we know that:
[tex]f(1)=5 \text{ and } f(3)=9[/tex]
In other words, we have 2 coordinates: (1,5) and (3,9).
With this, we can figure out the slope. Let (1,5) be x₁ and y₁ and let (3,9) be x₂ and y₂. The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute:
[tex]m=\frac{9-5}{3-1}\\m=4/2=2[/tex]
So, the slope is 2.
Now, use the point-slope form to figure out the y-intercept. The point-slope form is:
[tex]y-y_1=m(x-x_1)[/tex]
For consistency, let's continue to use (1,5) as x₁ and y₁. Now, we can use 2 as m. Thus:
[tex]y-(5)=2(x-1)[/tex]
Distribute:
[tex]y-5=2x-2[/tex]
Add 5 to both sides:
[tex]y=2x+3[/tex]
So:
[tex]f(x)=2x+3[/tex]
And that's our equation :)
perform the indicated operation (3 - 5i) - (-2 +11i)
Answer:
5 - 16i
Step-by-step explanation:
combine like terms:
3 - (-2) = 5
(-5i) - 11i = -16i
5 - 16i
PLEASE HELP!!!!! 1. −2=6/7p P=?
Answer:
p = -7/3
Step-by-step explanation:
-2 = 6/7p
multiply each side by (7/6)
-2(7/6) = 6/7p(7/6)
-7/3 = p
Answer:
[tex]-\frac{7}{3}[/tex]
Step-by-step explanation:
Divide each side by 6/7, so it now looks like this: [tex]-\frac{7}{3} = p[/tex]ASAP!! NEED HELP WITH ONLY 21 AND 23 !!!