As per the properties of numbers, Step 1) 2 • 6 • 5 • 1 = (2 • 6) • (5 • 1) uses the option A. associative property of multiplication
Properties of numbers:
The properties of numbers are stated for real numbers.
The common properties are:
Commutative Property: a + b = b + a
Associative Property: a . (b . c) = (a . b) .(a . c)
Distributive Property: a × (b + c) = a × b + a × c
Identity property: a.1 = a
Given,
Here we have the following steps.
Step 1 2 • 6 • 5 • 1 = (2 • 6) • (5 • 1)
Step 2 = (6 • 2) • (1 • 5)
Step 3 = 12 • (1 • 5)
Step 4 = 12 • 5
In this one, we have to identify the property used in step 1.
While we looking into the step 1), we have identified that the product is the same regardless of the way in which the numbers are grouped.
Based on this concept, we have identified that the step is used the associative property of multiplication.
Therefore, step 1 is uses the concept associative property of multiplication.
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if 10 is subtracted frim a number the result is 23 find the number
Answer: 33
Step-by-step explanation:
We can make the unknown number x and set the question as:
x-10=23
By adding 10 on both sides the equation would look like so
x=33
And so your answer would be 33.
Ahmed wants to make a triangle. He has rods that measure 9 inches and 15 inches. The rods cannot be cut. Which is the length of a rod he could use to complete the triangle?
what is the answer?
Which expression is equivalent to 1.1×10−32.2×104?
The equivalent expression of the expression 1.1 × 10 - 32.2 × 10⁴ will be
⇒ - 3,31,989
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is;
⇒ 1.1 × 10 - 32.2 × 10⁴
Now,
Solve the expression as;
The expression is;
⇒ 1.1 × 10 - 32.2 × 10⁴
⇒ 11 - 3,22,000
⇒ - 3,31,989
So, 1.1 × 10 - 32.2 × 10⁴ = - 3,31,989
Thus, The equivalent expression of the expression 1.1 × 10 - 32.2 × 10⁴ will be
⇒ - 3,31,989
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Mr. and Mrs. Crone know that in 10 years they are going to help their daughter buy a house. She will need about $20,000 for her down payment. How much should Crone's deposit now into an account that yields 1.25% interest, compounded weekly, in order to have that amount?
Mr. and Mrs. Crone needs to deposit $2164.31 to have $20000 in 10 years.
Finalize the compound growth formula using the amounts. Then equate for the unknown digit.
A = P[tex](\frac{1+r}{n} )^{nt}[/tex]
where A is the account balance, P is the investment amount that needs to be figured out, r is the annual interest rate which is 1.25%, t is the year which is 10 years, and n is the number of annual interest rates which is 52,
Filling in the given values, we have
20000 = P[tex](\frac{1 +.0125}{52} )^{520}[/tex]
20000 = P(0.092403)
P = 20000 ÷ 0.092403
P ≈ 2164.31
Therefore, $2164.31 is required to have $20000 in 10 years.
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Please help I have been reeling over this question forever I’ll mark you brainliest for a correct answer (hint: not 36.1%)
95 % is the percentage of person that have diabetes that also tested positive for the disease.
How to find out the percentage of those that fall under this category.To do this we would have to loot at the top of the table and the information that is at the left hand side of the table.
At the top we have the column that is tagged, test powitive and the test negative columns.
On the side we have the have diabetes and do not have diabetes row. We are interested in the people that have diabetes and also have tested positive to the disease.
On the table, this is tagged as 36.1%
Then the total = 38%
hence we would have
36.1%/38% x 100
= 0.361 / 0.38 x 100
= 0.95 x 100
= 95%
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What is an equation of the line that passes through the points (2, 6) and ( -2, -4)?
Answer:
y = (5/2)x + 1 or
y = 2.5x + 1
Step-by-step explanation:
The slope-intercept form of the equation of a line is
y = mx + b
where m = slope, b = y-intercept
Slope = rise / run
where rise is the difference in y-values of two points on the line and run = difference in x values for the same two points'
Here the points are (2, 6) and (-2, -4)
rise = 6 - (-4) = 6 + 4 = 10
run = 2 - (-2) = 2 + 2 = 4
Slope = 10/4 = 5/2
Equation is
y = (5/2))x + b
To calculate b, plug in x, y values for (2, 6) to get
6 = (5/2) x 2 + b
6 = 5 + b
b = 6 - 5 = 1
Equation of line is
y = (5/2)x + 1
Polly assumes that the rice from two sacks will fill twice as many bags as the rice from
one sack.
(b) Is Polly correct?
You must give a reason for your answer.
Yes, Polly is right. 28 bags can be filled.
How to find the number of bags that can be filled?Polly has a full 5 kg sack of rice.
Each full bag contains 350 g of rice.
Solution:
5 Kg is 5000g.
Therefore,
5000/350 = 14.29
That is 14 bags in total.
Polly assumes that the rice from 2 sacks will fill twice as many bags as the rice from 1 sack.
Therefore,
2 * 5000/350 = 28.57 bags which is twice 14 bags.
Therefore, her assumption is right.
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The average height for men in the United States is 5 2/3 feet tall. Bill is 1/3 foot shorter than the average. How tall is Bill?
3. On Bob's 10th birthday, his grandmother invested $1,500 in an account * 21
that was locked into a 12.5% interest rate, compounded quarterly. Will he
have enough for a $2500 down payment for his first car on his 16th
birthday?
Answer: not sure. but as long as he saves his money wisely and doesn't spend frivilously
Step-by-step explanation:
Greg earned $32 dollars for washing cars this month. He earned twice as much for washing cars than he did for mowing lawns. Write an equation to determine how much he earned for mowing lawns.
2m = 32
m + 2 = 32
m − 2 = 32
m over 2 equals 32
Answer: the correct answer is 2m = 32
Step-by-step explanation: If Greg earned $32 for washing cars and that was twice as much for mowing lawns, then you will need to divide that amount by 2 to find out what was made.
2m = 32
Divide each side by 2:
2m/2 = 32/2
m = 16
The amount for mowing lawns = $16
Answer:
Determine which equation is false, based on the solution set S:{4}.
3t = 12
3m + 7 = 14
4(4c + 1) = 68
9 = 5p − 11
Step-by-step explanation:
plsss help meeeeeeeee
Answer:
Solution Below.
Step-by-step explanation:
This question tests on the concept of angle properties.
From the question above, we can form up an equation:
x + 2x + (x + 30) = 180 (Sum of angles in a triangle)
Now, we can solve for x to find the angles of each side.
[tex]x + 2 x + x + 30 = 180 \\ 4x + 30 \\ 4x = 150 \\ x = 37.5[/tex]
Now we can find the angles for each side:
x = 37.5
2x = 2 × 37.5 = 75
x + 30 = 37.5 + 30 = 67.5
Answer:
37.5, 75, and 67.5
Step-by-step explanation:
The angles of a triangle add up to 180 so everything inside is equal to 180.
180=x+2x+x+30, simplify
180=4x+30, subtract 30 on both sides
150=4x, divide 4 on each side
37.5=x
solve now knowing x
x= 37.5
x+30= 67.5
2x= 75
Select the correct answer.
Rick is driving to his uncle's house in Greensville, which is 120 miles from Rick's town. After covering x miles, Rick sees a sign stating that Greensville is 20 miles away. Which equation, when solved, will give the value of x?
A.
x + 120 = 20
B.
x × 120 = 20
C.
x + 20 = 120
D.
x × 20 = 120
Answer:
Step-by-step explanation:
C. Explanation: 100+20=120
X=100
Work out the circumference of this circle.
to be 3.142 and write down all the digits given by your calculator.
21 cm
Answer:62.84Step-by-step explanation:pie=3.142c=pie * diameterr=10cmd=2rd=2(10)=20cmc=3.142 * 20c=62.84
Step-by-step explanation:
Alina went to CVS to buy bags of candy for her friends for Halloween. She bought three more bags of Reese's than lollipops and two fewer bags of Starbursts than lollipops. Bags of lollipops cost $3.75 each, bags of Reese's cost $5.50 each and bags of Starbursts cost $4.25 each. She spent a total of $48.50 and was not charged any tax.
Using a system of equations, it is found that she bought:
3 bags of Lollipops candies. 6 bags of Reese's candies.1 bags of Starbursts candies.How many bags of each candy did she buy?To find how many bags of each candy she bought, we have to solve a system of equations, in which the variables are given as follows:
x: bags of lollipops.y: bags of Reese's.z: bags of Starbursts.She bought three more bags of Reese's than lollipops, hence the first equation is:
y = x + 3.
She bought two fewer bags of Starbursts than lollipops, hence the second equation is:
z = x - 2.
Bags of lollipops cost $3.75 each, bags of Reese's cost $5.50 each and bags of Starbursts cost $4.25 each. She spent a total of $48.50, hence the third equation is:
3.75x + 5.5y + 4.25z = 48.50.
We have the variables y and z as a function of x, hence we can replace them into the third equation and solve for x as follows:
3.75x + 5.5(x + 3) + 4.25(x - 2) = 48.50
13.50x + 8.50 = 48.5.
13.50x = 40.50.
x = 40.50/13.50.
x = 3. (number of lollipops bags).
Hence the number of Reese's bags is:
y = x + 3 = 3 + 3 = 6.
The number of Starbursts bags is:
z = x - 2 = 3 - 2 = 1.
Complete problemThe problems asks for the number of bags of each candy that was purchased.
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A rectangle has length 3x + 4 and width 2x - 1. What is the perimeter of the rectangle?
Answer:
the width is 10x + 6
Step-by-step explanation:
but we know for a rectangle that the length and the width added twice together equals the perimeter . so you will want to do 2(3x+4)+2(2x-1) which equals 6x+8+4x-2 which equals 10x+6.
Find the Domain and range.Also,state whether each set of ordered pairs ia a function or not.
{(-6,7),(4,-9),(5,2),(-5,9),(8,-8)}
Domain:_____
Range:_____
Funtion or not:________
The domain of the set of ordered pairs is {-6, 4, 5, -5, 8,} and the range is {7, -9, 2, 9, -8)} which are represented as a function.
What are the domain and the range of a set of ordered pairs?The domain of a set of ordered pairs includes all possible x values of a function, and the range includes all possible y values of a set of ordered pairs.
Given the set of ordered pairs as :
{(-6,7),(4,-9),(5,2),(-5,9),(8,-8)}
Since the domain is the set containing the x-coordinates of all ordered pairs.
So the domain = {-6, 4, 5, -5, 8,}
And the range is the set containing the y-coordinates of all ordered pairs.
So the range = {7, -9, 2, 9, -8)}
Thus, the domain of the set of ordered pairs is {-6, 4, 5, -5, 8,} and the range is {7, -9, 2, 9, -8)}. which are represented as a function.
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In 3–5 sentences, explain why the moon appears to be less bright than the sun despite its very close distance to Earth. PLEASE HELP A GIRL OUT THIS IS A VERY IMPORTANT TEST I DO NOT WANT TO FAIL make it simple
Step-by-step explanation:
Based on scientific observations and findings, the reasons the moon appears to be less bright than the sun despite its very close distance to earth are the following:
Moon doesn't produce its light but rather takes or reflects the light from the Sun.
Moon only reflects about 12 percent maximum of lights that shines on it from the sun.
Externally, Moon is made of dark-colored soil often referred to as lunar soil. This is unlike the Sun which is made of hydrogen and helium, whose atoms are very light.
Also, Sun is about 400 times bigger than the Moon.
Hence, in this case, it is concluded that there are many reasons the moon appears to be less bright than the sun despite its very close distance to earth.
n is a natural number between 5/2
and 3.85
Answer:
5/2 = 2.5. Since n is a natural number, n must be 3.
The bird flew 10 meters in 4 seconds.
Complete the double number line to represent this.
The double number line that represents the distance and time of the bird shows the equivalent in the given values which is further illustrated in the attached diagram.
What is number line?Number line is defined as the representation of numbers in suc a way that numbers at the right side of the line are positive and larger than the numbers at the left which are negative.
The double number line is defined as the type of number line that contains two labelled parallel lines that contains figures that are marked at equal increments.
From the attached diagram, the first line is labelled the distance covered by the bird which is measured in meters.
The second line is labelled the time used by the bird to cover the given distance.
The given values of both the distance and time is shown to have an equivalent ratio which appears vertically on the double number line.
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45 to 60 Identify the precent of change?
Answer:
33 1/3 %increase
Step-by-step explanation:
You take the difference of 60 and 45 which is 15 and divide that by 45
[tex]\frac{15}{45}[/tex] i s.3333333 as a percent this would be 33 1/3 % increase
how many miles must riley walk to have only 1 mile left to walk
The graph gives the information of the miles walked.
Riley must walk 7 miles to have only one mile left.
The answer would be 7 miles
Question 3The number is equivalent toAB-0.625C 0.58D
Divide -5 by 8
[tex]To\text{ find the value of -5 divided by 8, divide only 5 by 8 and a put a negative sign to the value obtained}[/tex]So 5/8 is 0.625. So, -5/8 is 0.625
m,m, and k are natural numbers. Express each of the following as a power.
A. 2^3n/2^2n
B. 5^5n x 5^7
WHOEVER ANSWERS CORRECTLY AND FIRST WILL BE MARKED BRAINLIEST
Answer:1: 4^n+52: 3^8+n3: 2^n4: 2^nStep-by-step explanation:For number 1, since we have multiplication, we just add the powers, so we get 4^n+5For number 2, it's the same thing, so 3^8+nFor number 3, since it's division, we subtract, therefore it will be 2^2n-n, which you can simplify to 2^nFor number 4, it's also the same thing, we get 2^3n-2n, which we can also simplify to 2^nHope this helped :D
Step-by-step explanation:
is used in answer
Answer:
A. 2^n
B. 5^(5n+7)
Step-by-step explanation:
Answer with work shown(please)
-14p = 112
-18 = x -13
14= n +7
354 = -6(-8m -3)
8(5p - 5) = -120
-4(5n - 1) = -156
Answer:
↓↓↓
Step-by-step explanation:
1. -14p = 112:-
Divide both sides by -14:-
[tex]\sf \cfrac{-14p}{-14}=\cfrac{112}{-14}[/tex]
[tex]\boxed{\bf p=-8}[/tex]
__________________
2. -18 = x -13
[tex]\sf x-13=-18[/tex]
Add 13 to both sides:-
[tex]\sf x-13+13=-18+13[/tex]
[tex]\boxed{\bf x=-5}[/tex]
__________________
3. 14 = n +7
[tex]\sf n+7=14[/tex]
Subtract 7 from both sides:-
[tex]\sf n+7-7=14-7[/tex]
[tex]\boxed{\bf n=7}[/tex]
_________________
4. 354 = -6(-8m -3)
[tex]\sf 354=6(8m+3)[/tex]
[tex]\sf 6(8m+3)=354[/tex]
[tex]\sf 48m+18=354[/tex]
Move constant to the right side:-
[tex]\sf 48m=354-18[/tex]
Subtract numbers:-
[tex]\sf 48m=336[/tex]
Divide both sides by 48:-
[tex]\sf \cfrac{48m}{48}=\cfrac{336}{48}[/tex]
[tex]\boxed{\bf m=7}[/tex]
__________________
5. 8(5p - 5) = -120
[tex]\sf 40p-40=-120[/tex]
Move constant to the right side:-
[tex]\sf 40p=-120+40[/tex]
Add/Subtract numbers:-
[tex]\sf 40p=-80[/tex]
Divide both sides by 40:-
[tex]\sf \cfrac{40p}{40}=\cfrac{-80}{40}[/tex]
[tex]\boxed{\bf p=-2}[/tex]
____________________
6. -4(5n - 1) = -156
[tex]\sf 4(5n-1)=156[/tex]
[tex]\sf 20n-4=156[/tex]
[tex]\sf 20n=156+4[/tex]
Add numbers:-
[tex]\sf 20n=160[/tex]
Divide both sides by 20:-
[tex]\sf \cfrac{20n}{20}=\cfrac{160}{20}[/tex]
[tex]\boxed{\bf n=8}[/tex]
_____________________
Hope this is what you're looking for!!
Have a great day!
Por cada $5 que Micah ahorra, sus padres le dan $10. 3. una. ¿Cuál es la constante de proporcionalidad
The constant of proportionality based on the information regarding Micah is 1/2
What is constant of proportionality?The constant of proportionality simply implies that the ratio which relates to the values has a constant value. This is represented as k.
In this case, for every $5 that Micha saves, by parent give him $10.
Let the amount that he saves be y
Let the amount that was given to him be x.
The constant is k.
This will be:
y = kx
5 = 10k
Divide
k = 5/10
k = 1/2
The constant of proportionality is 1/2.
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Can anyone please help
After 3.94 hours, the price of stock A and stock B will become same.
What do you mean by price?
Price can be defined as the amount of money that get paid for something.
Lets assume that after x hours the price of stock A is equal to price of stock B.
Since the price of stock A is increasing at rate of 0.11 per hour, so after x hours it will become:
$12.15 + 0.11x
Since the price of stock B is decreasing at rate of 0.08 per hour, so after x hours it will become:
$12.90 - 0.08x
Equating both price to get the value of x:
12.15 + 0.11x = 12.90 - 0.08x
(0.11+0.08)x = 12.90 - 12.15
x = 0.75/0.19
x = 3.94
Hence, after 3.94 hours the price will be same.
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what are all the expressions that are equal to 2.65+3.78
The expressions that are equal (equivalent) to 2.65 + 3.78 include the following:
B. 3.78 + 2.65
D. 9.51- 3.08
What is an expression?An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
In this exercise, you're required to determine the expressions that are equivalent to the given expression. Therefore, we would evaluate each of the expressions as follows:
Expression = 2.65 + 3.78
Expression = 6.43.
From the group of answer choices, we have:
Expression A = 2.56 + 3.86
Expression A = 6.42 (not equivalent).
Expression B = 3.78 + 2.65
Expression B = 6.43 (equivalent).
Expression C = 10 - 3.67
Expression C = 6.33 (not equivalent).
Expression D = 9.51- 3.08
Expression D = 6.43 (equivalent).
Expression E = 9.51- 3.08
Expression E = 5.43 (not equivalent).
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Complete Question:
What are all the expressions that are equal to 2.65+3.78?
A. 2.56 + 3.86
B. 3.78 + 2.65
C. 10 - 3.67
D. 9.51- 3.08
E. 8.21 - 2.78.
Jill is a hotel desk clerk her regular pay is 9.85 per hour time and a half for all hours worked over 40 and doubled time on Sunday she worked the following hours this pay period. what is her over time pay and her gross pay
Jill's overtime pay is $137.9 and her gross pay is $531.9
For calculating, Hourly and overtime pay
Some employers pay a set amount for every hour an employee works. This is called regular pay. An employee may also earn overtime pay for all hours worked over 40 within a pay period. The overtime rate is usually 1.5 times an employee’s regular hourly pay.In some cases, such as on Sundays, an employer may pay double time or 2 times an employee’s regular pay.
Formulas for calculating earnings,
Hours Worked x Hourly Rate = Regular Pay
Overtime Hours Worked x Overtime Rate = Overtime Pay
Regular Pay + Overtime Pay = Gross Pay
Jill work for one day = 8 hours
She work from Monday to Friday i.e, 5 days which is = 8 * 5 = 40 hours
On Saturday and Sunday she worked 4 hours on each day,
so, for Saturday her payment is = (1.5 * 9.81) * 4
= 59.1
And, for Sunday her payment is = 2 * ( 4 * 9.85)
= 78.8
Now, find her overtime pay (add her's Saturday and Sunday payment)
Overtime pay = 59.1 + 78.8
= $137.9
Now, find her Gross pay = Regular pay + Overtime pay
Regular pay = 9.85 * 40
= 394
So, the Gross pay = 394 + 137.9
= $531.9
Therefore, Jill's overtime pay is $137.9 and her gross pay is $531.9.
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URGENT, IT’S LATE
In a game of billiards, a ball travels along the path DB as
shown. Use appropriate postulates, theorems, properties,
or definitions to determine the measure of the angle of re-
flection. Describe how you calculated your value. Be sure to answer in complete sentences.
a claim that is accepted as true without evidence, also referred to as an axiom. Lemmas and theorems are deduced from postulates, which serve as their fundamental building block.
For instance, Euclid's postulates, a set of five postulates, provide the foundation of all of Euclidean geometry.
Why are theorems and postulates crucial in geometry?
The foundation of any mathematical system, including geometry, algebra, and trigonometry, are postulates and theorems. Mathematicians have created entire systems of mathematics by utilizing postulates to argue theorems that can then be proved by other theorems.
A statement that has been proven true or that can be proven is known as a theorem in mathematics. A logical argument that uses the deductive system's inference rules to establish a theorem is called a proof.
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A department store stocked a selection of denim jeans. At the start of December, the store had 320 of these jeans. During December, it sold 50% of the jeans. In January, it sold 25% of the remaining denim jeans. Determine how many were left at the end of January
Answer:
120 denim jeans were left
Step-by-step explanation:
320 - 50% = 160 left at the end of december
160 - 25% = 120 left at the end of January
