(7a*2b)+3c=3c+(7a*2b) the property for the given expression is Option A) Commutative Property of Addition.
The given expression is (7a*2b) + 3c = 3c + (7a*2b). This equation demonstrates the Commutative Property of Addition.
The Commutative Property of Addition states that the order in which numbers are added does not affect the result.
In mathematical terms, it can be written as: a + b = b + a.
In your expression, you have terms involving both addition and multiplication. However, since addition is involved on both sides of the equation, we can focus on the addition aspect.
(7a*2b) + 3c = 3c + (7a*2b)
First, we can rearrange the terms on the left side:
7a*2b + 3c = 3c + 7a*2b
Now, observe that the terms on both sides of the equation are the same: 7a*2b and 3c.
They are just arranged in a different order. This aligns with the Commutative Property of Addition, which says the order of addition doesn't matter.
Therefore, the expression is an illustration of this property, and the correct answer is the Commutative Property of Addition (A).
In summary, the expression shows that changing the order of terms within an addition does not change the result, thus demonstrating the Commutative Property of Addition.
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(x-5)^2-1=0
tìm x giúp mik vs
The product of three whole numbers is 120 how many different possibilities are there for the three whole numbers
9 different possibilities
Answer:
z. sjshshdbd.d.difffjfjfjf
please help i be struggling on this..
Step-by-step explanation:
8
a. total cost ($)
→ 25 = 25×2.5 = $62.5
→ 50 = 50 × 2.5 = $125
→ 75 = 75 × 2.5 = $187.5
b. 2.5n
c. $400/2.5 = 160
therefore, she can make 160 crafts by $400.
9. 7x + 12 = 18
→ 7x = 18 - 12 = 6
→ x = 6/7
therefore value of x is 6/7.
hope this answer helps you dear...take care
1 3x5 x 2 1x3 i don't know what eles to right but what is the answer
Two cyclists begin from the same point and are traveling in opposite directions on a circular bike trail that is 5 miles long. Once cyclist travels at 12 miles per hour, and the other travels at a rate of 18 miles per hour. How far did cyclist A travel?
Answer:
three cytliys and six ka
Step-by-step explanation:
hope it hlp you
Dylan invested some money in his bank.
He agreed a simple interest rate of 3% per annum for a period of 2 years.
At the end of the 2-year period the value of his investment increased by £72.
Work out the value of Dylan's initial investment.
two years at 3% = .03*2 = .06
so
.06 times original deposit = 72
so 72/.06
which is
1200
Write a unit rate for each situation . 20$ saved in 4 weeks
Answer:
so the answer is 5
Step-by-step explanation:
20/4=5
Dan the Donut man has to buy the donut machine for 89 dollars. He then can make donuts and sell them for 2 dollars a person. How many donuts does he need to sell to make at least
$231?
Answer:
161 donuts
Step-by-step explanation:
(231+89)/2 then add one more donut as the question asked for at least $231
320/2 = 160 + one more donut = 161 donuts have to sold to make at least $231.
You have add the machine price as he wouldn't be making a profit off it if he didn't surpass what he spent for it.
Check your work by doing 161 times 2 minus 89 minus the 1 donut added and you'll get the $231. Not subtracting the one shows the profit of a dollar aka at least $231
Can anyone help me, I can’t find the answer.
Answer:
(p = 2) = -2
Step-by-step explanation:
Find the inverse of each of the given funcions
fo) = 4x-12
51x)=
DONE
o
Let y be f(x)
[tex]\\ \sf\longmapsto y=4x-12[/tex]
Swipe the values
[tex]\\ \sf\longmapsto x=4y-12[/tex]
Isolate y[tex]\\ \sf\longmapsto 4y=x+12[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{x+12}{4}[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{1}{4}x+3[/tex]
Hence.
[tex]\\ \sf\longmapsto f^{-1}(x)=\dfrac{1}{4}x+3[/tex]
Let y=f(x)
y=4x-12Now interchange the variables
x=4y-12The y we need now
x+12=4yDivide both sides by 4
y=(x+12)/4This is the inverse
If there are three black, four white, two blue, and four gray socks in a drawer, what would be the probability of picking a blue sock? Round your answer to the nearest tenth.
Answer:
3/13 which is 0.23 as a decimal
Step-by-step explanation:
trying to figure it out
explain and show how please ! and give answer someone pls answer asap !
Answer:
Both angels are 70 and both added are 140.
Step-by-step explanation:
Because of the rules, that's names i never remember angle 1 and angle 2 are both 70° and obiously they equal 140.
If the fraction 396/x-10 is equivalent to -22, find the value of x
Answer:
-33
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
396/x-10-(-22)=0
Answer:
-33
Step-by-step explanation:
my work is done in the image below
Given that in isosceles △ABC , base BC¯¯¯¯¯, BE¯¯¯¯¯⊥AC¯¯¯¯¯, and CF¯¯¯¯¯⊥AB¯¯¯¯¯, which of the following proves that BE¯¯¯¯¯≅CF¯¯¯¯¯?
1. Isosc. △ABC, base BC¯¯¯¯¯ (Given)
2. AB¯¯¯¯¯≅BC¯¯¯¯¯ (Def. of Isosc. △)
3. BE¯¯¯¯¯⊥AC¯¯¯¯¯, CF¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)
4. ∠BEA and ∠CFA are Supplementary Angles (Def. of ⊥)
5. AB¯¯¯¯¯≅BC¯¯¯¯¯ (Supp. ∠s ≅ Thm.)
6. ∠A≅∠A (Reflex. Prop. of≅)
7. △ABE≅△ACF (SAS Steps 1, 6, 5)
8. BE¯¯¯¯¯≅CF¯¯¯¯¯ (CPCTC)
1. Isosc. △ABC, base BC¯¯¯¯¯ (Given)
2. AB¯¯¯¯¯≅BC¯¯¯¯¯ (Def. of Isosc. △)
3. BE¯¯¯¯¯⊥AC¯¯¯¯¯, CF¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)
4. ∠BEC and ∠CFB are Supplementary Angles (Def. of ⊥)
5. AC¯¯¯¯¯≅BC¯¯¯¯¯ (Supp. ∠s ≅ Thm.)
6. ∠A≅∠B (Sym. Prop. of≅)
7. △ABE≅△ACF (SAS Steps 1, 6, 5)
8. BE¯¯¯¯¯≅CF¯¯¯¯¯ (CPCTC)
1. Isosc. △ABC, base BC¯¯¯¯¯ (Given)
2. AB¯¯¯¯¯≅AC¯¯¯¯¯ (Def. of Isosc. △)
3. BE¯¯¯¯¯⊥AC¯¯¯¯¯, CF¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)
4. m∠BEA=m∠CFA=90∘ (Def. of ⊥)
5. ∠BEA≅∠CFA (Rt. ∠s ≅ Thm.)
6. ∠A≅∠A (Reflex. Prop. of≅)
7. △ABE≅△ACF (AAS Steps 5, 6, 1)
8. BE¯¯¯¯¯≅CF¯¯¯¯¯ (CPCTC)
1. Isosc. △ABC, base BC¯¯¯¯¯ (Given)
2. AB¯¯¯¯¯≅AC¯¯¯¯¯ (Def. of Isosc. △)
3. BE¯¯¯¯¯⊥AC¯¯¯¯¯, CF¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)
4. m∠BEC=m∠CFB=90∘ (Def. of ⊥)
5. ∠BEC≅∠CFB (Rt. ∠s ≅ Thm.)
6. ∠A≅∠B (Sym. Prop. of≅)
7. △ABE≅△ACF (AAS Steps 5, 6, 1)
8. BE¯¯¯¯¯≅CF¯¯¯¯¯ (CPCTC)
The correct proof that proves that BE ≅ CF is the proof in option C. (see attachment).
Recall the following:
An isosceles triangles has two sides that are congruent and a base.AAS Congruence Theorem proves that two triangles are congruent if they possess two pairs of congruent sides and a pair of non-included congruent sides.All corresponding parts of two congruent triangles are equal in measure to each other, based on the CPCTC Theorem.The isosceles triangle ABC given is shown in the image attached below.
To prove that, BE ≅ CF, establish the fact that △ABE ≅ △ACF by the AAS Congruence Theorem.
Since △ABE ≅ △ACF, therefore BE ≅ CF by the CPCTC Theorem.
Thus, the correct proof that proves that BE ≅ CF is the proof in option C. (see attachment).
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Pls help!!! Will mark brainliest!! links will be reported.
I hope this is the right answer and if it's not then my apologies.
And sorry it took so long.
cho tập hợp A=(2;7)và tập hợp B=[7;10]tìm tập hợp a∩B
sorry po di ko ma intindihan
Step-by-step explanation:
sorry po
May I please receive help?
4, -1/4 -1,
we can do this simply by
(y2-y1)/(x2-x1)
and simplifying
Can someone solve this equation.
Answer:
1/2
Step-by-step explanation:
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
Answer:
1.) 1 ,2, 31, 62
2.) 1, 3, 5, 9
3.) 540
Step-by-step explanation:
1.) 1x62= 62
2x31= 62
31x2= 62
62x1=62
Each of these number are a multiple of 62.
2.) 1x45=45
3x15=45
5x9= 45
9x5= 45
3.) 420÷2= 210
420÷3= 140
420÷5= 84
420÷6= 70
420÷9= 46.667 This number is not a multiple of 420 because the answer is in decimals which means 9 is not divisible by 420
540÷2= 270
540÷3= 180
540÷5= 108
540÷6= 90
540÷9= 60
540÷10= 54
2, 3, 5, 6, 9 and 10 is divisible by all of these numbers
Answer:
1) 1 ,2, 31, 62
2) 1, 3, 5, 9
3.) 540
Step-by-step explanation:
1) 62 would be divisible by 2 because its an even number, and if you split 62 in half, you would get 31.
2) 4+5 = 9. 3 and 9 are both divisible by 9, and 5 is divisible by 5.
3) All of the numbers are divisible by 10, 5, and 2 in the list. 250 is not divisible by 3, so we can take it off the list. The rest of the numbers are all divisible by 6. All we have left is 9. Both 420 and 510 add their values up to 6, which is not divisible by 9. That leaves us with 540 as our answer.
-kiniwih426
which of these numbers has both 2 and 5 as factors? A. 205 B. 502 C. 250 D. 202
Answer:
10=20. divisible by 2 (2,5 = 10) both of the factor are prime
Step-by-step explanation:
BIG BRAIN
Please help me! What is 1000*1000?
Answer:
1,000,000
Step-by-step explanation:
I will mark brainiest plz help
Answer:
96
Step-by-step explanation:
The length of the large rectangle is: 5 units
The width of the large rectangle is: 7 units
- > Area of the large rectangle = length × width = 7*5 = 35 square units
The length of the middle rectangle is: 7 units
The width of the middle rectangle is: 4 units
- > Area of the middle rectangle = length × width = 7*4 = 28 square units
The length of the small rectangle is: 7 units
The width of the small rectangle is: 3 units
- > Area of the small rectangle = length × width = 7*3 = 21 square units
Area of top and the bottom triangles =2* 1/2(bh) = 4*3 = 12 square units
Then we find the total surface surface area by adding up all of these
- > 35 + 28 + 21 + 12 = 96 square units
How do I do 7<1+x in linear equations
Answer:
7<1+x
1+x>7
x>7-1
x>6
Step-by-step explanation:
hope this helps a little
please help me i’m being timed
if A (4x, y) and B (2x, 3y) are points on a grid, the coordinates of the midpoint line segment
AB are:
Answer:
...............c
Step-by-step explanation:
Can someone help me please
Step-by-step explanation:
5⁴×5² = 5⁶
10⁶/10³ = 10³
so, we have 5⁶/10³ = 15.625
and in scientific notation we have to write the first digit (which is not 0) in front of the decimal point, and the following digits of the number as pairings after the decimal point, and then indicate a multiplication with a power of 10 to tell us the right position of the decimal point in the plain number.
so, 15.625 as plain number is
1.5625 × 10¹ in scientific notation.
therefore option 1 is correct.
A rational number will have a ________________ decimal when the denominator or the fraction, in its simplest form, is a factor of 10, 100, 1,000, etc.
Answer:
terminating decimal maybe :)
Step-by-step explanation:
Answer:
what goes in the blank space: repeating
Step-by-step explanation:
Any rational number (that is, a fraction in the lowest terms) can be written as either a terminating decimal or a repeating decimal.
Given h(x)=5x-1h(x)=5x−1, find h(1)h(1).
Prove that:
[tex] \cos( \frac{3\pi}{2} + \theta) \cos(2\pi + \theta) [ \cot( \frac{3\pi}{2} - \theta) + \cot(2\pi + \theta) ] = 1 [/tex]
Please solve this problem because tomorrow is my maths exam.
Explanation:
On taking LHS
Cos[(3π/2)+θ]Cos(2π+θ)[Cot{(3π/2)-θ}+Cot(2π+θ)]
We know that
π = 180°
2π = 2×180° = 360°
3π/2 = (3×180°)/2 = 540°/2 = 270°
Now
LHS becomes
Cos(270°+θ)Cos(360°+θ)[Cot(270°-θ)+Cot(360°+θ)]
We know that
Cos (270°+θ) = Sin θ
Cos (360°+θ) = Cos θ
Cot (270°-θ) = Tan θ
Cot (360°+θ) = Cot θ
→ Sin θ Cos θ [Tan θ + Cot θ]
→ Sinθ Cosθ[(Sinθ/Cosθ)+(Cosθ/Sinθ)]
→ Sinθ Cosθ[(Sin²θ+Cos²θ)/(SinθCosθ)]
→ Sin θ Cos θ [1/(Sin θ Cos θ)]
Since Sin²θ+Cos²θ = 1
→ (Sin θ Cos θ)/(Sin θ Cos θ)
→ 1
→ RHS
→ LHS = RHS
Hence, Proved.
Here are the formulae that I have used:
→ π = 180°
→ Cos (270°+θ) = Sin θ
→ Cos (360°+θ) = Cos θ
→ Cot (270°-θ) = Tan θ
→ Cot (360°+θ) = Cot θ
Here are the Trigonometric Identities that I have used:
→ Sin²θ+Cos²θ = 1
Find all numbers whose absolute value is 5.
If there is more than one, separate them with commas.
If there are no such numbers, click on "None".
Answer:
5 , |-5|
Step-by-step explanation:
2 of the above are the absolute value of 5
The two numbers whose absolute value is 5 are 5 and -5.
Numbers whose absolute value is 5 can be both positive and negative.
The absolute value of a number is its distance from zero on the number line, so any number that is 5 units away from zero in either the positive or negative direction will have an absolute value of 5.
Here are the numbers whose absolute value is 5:
5 (positive 5, because it's 5 units to the right of zero)
-5 (negative 5, because it's 5 units to the left of zero)
Hence, 5 and -5 are the two numbers whose absolute value is 5.
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