Identity law a(b+c)=a×b+a×c

Answers

Answer 1

Answer:

Distributive property

Step-by-step explanation:

The distributive property states that if you have an equation inside parenthesis with a number outside, you should multiply the number with each of the member inside the parenthesis. So lets say you have 3(1-4), you are not going to add the members together after multiplication, you are gonna apply the mathematical equation that was available in the first place, so u will multiply 3×1 - 3×4, this applies to any situation you have. Let’s say you have 3+(4-2), here you cannot multiply the 3 by any of the parenthesis, since there is an addition sign right before it, we conclude that the number should be right beside the parenthesis bcz parenthesis are like multiplication signs. So you have 3(4-2), first step you do is multiply each of the number inside by the number outside, and you will get the subtraction sign in the middle of them. It will look like this 3×4 -3×2, u multiply them all together, with the multiplication first and subtraction at last.

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Related Questions

PLEASE ASAP this is due in 10 minutes

Answers

Answer: 10•12 = 120

I won’t explain it since you are in a hurry

See your levels
Deb started doing yard work at 9:52 A.M. After working for 1 hour and 48 minutes, she
stopped to have lunch. It took her 36 minutes to eat lunch.
When did Deb finish eating lunch?
12:16 P.M.
12:32 P.M.
1:16 P.M.
1:32 P.M.
Submit
Id
Conany
Rina
Hein center
ser des
Toll

Answers

You add 1 hour and 46 min to 9:52am and then add another 36min
So deb finished eating her lunch at 12:16pm

The correct answer is 12:16 P.M.

How to find when did Deb finish eating lunch ?

According to the problem,

Deb started doing yard work at 9:52 A.M.After working for 1 hour and 48 minutes, she stopped to have lunch.It took her 36 minutes to eat lunch.

Time at which Dev finishes her lunch =

                  9:52 A.M.  + ( 1 hour and 48 minutes +  36 minutes )

                =   11:40 A.M. +  36 minutes = 12 : 16 P.M.

∴ Deb finish eating lunch at 12:16 P.M.

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The density of copper is 8960 /3. What is tmass of a solid cube of copper with side lengths of 4 meters?

Answers

Answer:

573440 Kg

Step-by-step explanation:

       Mass of copper:

[tex]\boxed{\bf Mass = density * volume}[/tex]

Find the volume of the solid cube

          Volume of solid cube = side³

                                              = 4 * 4 * 4

                                              = 64 m³

[tex]\sf Mass = 8960* 64\\[/tex]

        = 573440 Kg

Need help plsss is 3/100 equal to 0.300 ???

Answers

Answer:

Yes. 3/100 = 0.3

Step-by-step explanation:

3/100 converted to decimal form equals 0.3.

Answer:

No

Step-by-step explanation:

If you divide 100 by 3 you will end up with 0.03, not 0.3.

Hope this helps!

A car salesperson receives a 7% commission per car sold. How much commission would the salesperson receive when selling a car for $24000?

Answers

Answer:

$1680

Step-by-step explanation:

To find 7% of 24000, convert 7% to a decimal and multiply. Percent means per hundred, 7% is 7/100 is .07

.07 × 24000

= 1680

Find the value of x.
148°
Гу
х
x = [? ]°
=

Answers

I think it’s 32 but I’m not sure. Because 180-148=32

What is the volume of a sphere with a radius of 15
inches?
235.5
113040.0
14130.0
1766.25

Answers

Answer:

C) V = 14130 in³

Step-by-step explanation:

Volue of a sphere: 4/3πr³

π = 3.14r = 15 in.

Substitute the values from above into the formula to find the volume of the sphere:

V = 4/3πr³

V = 4/3*3.14*15³

V = 4/3*3.14*3375

V = 4/3*10597.5

V = 14130 in³

Hope this helps!

find the circumference of the circle in round to the nearest 10th help please

Answers

Answer:

about 33.9 cm

Step-by-step explanation:

[tex]2\pi(5.4) = 10.8\pi = 33.9[/tex]

Simplify the algebraic expression

Answers

Answer:

1/4 x + 9/10

Step-by-step explanation:

[tex]=-\frac{1}{2}x+\frac{7}{10} +\frac{3}{4} x+\frac{1}{5}[/tex]

[tex]=\frac{3}{4}x-\frac{2}{4} x+\frac{7}{10} +\frac{2}{10}[/tex]

[tex]=\frac{1}{4} x+\frac{9}{10}[/tex]

Hope this helps

Find the slope of the line that passes through the points (10,-14) (-4,-2)

Answers

Answer: 0.8571

The explanation is in the image please

HELPP ASAPP

How many solutions does the equation 2x + .5y = -4 have?

Answers

Answer:

Topics

2x-5y=4. 2x−5y=4. Add 5y to both sides. Add 5y to both sides.

2x=4+5y. 2x=4+5y. The equation is in standard form. The equation is in standard form.

2x=5y+4. 2x=5y+4. Divide both sides by 2. ...

\frac{2x}{2}=\frac{5y+4}{2} 22x​=25y+4​ Dividing by 2 undoes the multiplication by 2. ...

x=\frac{5y+4}{2} x=25y+4​ Divide 4+5y by 2.

Step-by-step explanation: How do I determine how many solutions an equation has?

If solving an equation yields a statement that is true for a single value for the variable, like x = 3, then the equation has one solution. If solving an equation yields a statement that is always true, like 3 = 3, then the equation has infinitely many solutions.

Where does the line with the equation y=4x-7 cross the y axis?

Answers

Answer:

-7

Step-by-step explanation: an easy way to find the y-intercept (the point at which the line crosses the y axis) is by identifying what part of the equation does not have an x value. in this problem, it would be -7. if it were to not have a number that is followed by an x the y-intercept is 0.

hope that helps!

Find the common ratio for this geometric sequence.
72, 12, 2, 1/3, 1/18

Answers

Answer:

6:1. Each following term is 1 to 6 of the previous term.

Step-by-step explanation:

72/12 = 6/1

12/2 = 6/1

etc

PLEASE HELP!! What is the probability that the top three finishers in the contest will all be seniors?

Answers

Using the hypergeometric distribution, it is found that there is a 0.1538 = 15.38% probability that the top three finishers in the contest will all be seniors.

What is the hypergeometric distribution formula?

The formula is:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.

In this problem:

There are 14 players in total, hence N = 14.Eight are seniors, hence k = 8.Three will be taken from the sample, hence n = 3.

The probability that all of them are seniors is P(X = 3), hence:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 3) = h(3,14,3,8) = \frac{C_{8,3}C_{6,0}}{C_{14,3}} = 0.1538[/tex]

0.1538 = 15.38% probability that the top three finishers in the contest will all be seniors.

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PLEASE tell me I'm dead with this question

There were 27 children in a class.
There were twice as many boys as girls.
How many boys were there?
A 21 boys B 18 boys C 16 boys D 14 boys E 9 boys

Answers

Answer:

b 18 boys

Step-by-step explanation:

In order to solve this problem we must create a system of equations.

Creating a system of equations

Let x = number of boys and y = # of girls

We are given that in total there are 27 children which means # of boys + # of girls = 27 so we can say x + y = 27

We are also given that there are twice as many boys as girls so we can also say x = 2y ( as # of boys = twice the number of girls )

Solving the system

Now to find the # of boys and girls we must solve the system. To do so we are going to use the substitution method.

What is the substitution method?

The substitution method is where one of your variables ( x in this case ) is defined by an expression in which you can plug in or " substitute " it into the other equation ( we can substitute x = 2y into the other equation and solve for y )

Substitute equation 2 into equation 1

Equation 1 : x + y = 27

==> plug in x = 2y

y + 2y = 27

==> combine like terms

3y = 27

==> divide both sides by 3

y = 9

So there are 9 girls in the classroom

Solving for # of boys

To solve for the number of girls we plug in the # of girls (y=9) into one of the equations and solve for x

equation : x + y = 27

==> plug in y = 9

x + 9 = 27

==> subtract 9 from both sides

x = 18

There are 18 boys in the classroom

Checking our work:

Now that we have found the possible answers we can check our work. To do so we are going to want to plug in the values of x and y into both equations and if both are true our answer is correct

Equation 1 x + y = 27

==> plug in x = 18 and y = 9

18 + 9 = 27

==> simplify

27 = 27 ✓

equation 2 x = 2y

==> plug in x = 18 and y = 9

18 = 2(9)

==> multiply 2 and 9

18 = 18 ✓

Both are correct therefore we can conclude that there are 18 boys and 9 girls.

In this rug, given the horizontal segments are parallel and ∠1 ≅ ∠2, prove ∠3 ≅ ∠5.

Answers

Angles 1 and 3 are alternate interior angles, meaning that they are congruent .

Angles 2 and 5 are alternate interior angles, meaning that they are congruent .

Making angles 3 and 5 congruent.

1 is congruent to 3 and 2 is congruent to 5 because alternate interior angles are congruent.

Since 1 is congruent to 3 and to 2, then 3 is congruent to 2.

But 2 is congruent to 5, so since 3 is congruent to both 3 and 5, 3 and 5 must be congruent to each other.

What is being congruent in math?

Two geometric figures are said to be congruent or to be in the relation of congruence if it is possible to superpose one of them on the other so that they coincide throughout.

        The word 'congruent' means 'exactly equal' in terms of shape and size. Even when we turn, flip, or rotate the shapes, they remain equal. For example, draw two circles of the same radius, then cut them out and place them on one another.

What is an alternate interior angle?

Alternate interior angles are the angles formed when a transversal intersects two coplanar lines. They lie on the inner side of the parallel lines but on the opposite sides of the transversal.

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Given m n, find the value of x and y.

Answers

Answer:

X= 38°

Y = 142°

Step-by-step explanation:

let the angle vertically opposite to 142° = w

therefore, w= 142° ( vertically opposite angles are equal)

hence,x+ w =180° ( two interior angles sum up to 180°)

x+ 142° = 180°

x= 180 - 142 = 48°

X = 38°

then calculating for Y

X + Y = 180° ( angles on a straight line sum up to 180°)

38+Y = 180

Y = 180- 38

Y = 142°

we're done here...please don't forget to rate and mark brainliest!!!

What is the missing number ?? /6 =25/30

Answers

Answer:

5

Step-by-step explanation:

[tex]\frac{25}{30}[/tex] ( divide numerator and denominator by 5 ) , then

[tex]\frac{25}{30}[/tex] = [tex]\frac{5}{6}[/tex] ( with missing number ? = 5 )

Answer:

x = 5

Step-by-step explanation:

What is the missing number ?? /6 =25/30

x : 6 = 25 : 30

x = 6 * 25 : 30

x = 5

-------------------------------

check

5/6 = 0.83

25/30 = 0.83

the answer is good

BUILDING A horse farm is developing a new indoor arena in a rectangular building. They want the width of the building to be 3y feet and the length to be 4y+9 feet. Write an expression in simplest form to represent the area A of the building in terms of y.

A= ____

Answers

Answer:

3y(4y+9)=12y^2+27y......

The area A of the rectangular building in terms of y will be (12y² + 36y).

What is Area of rectangle?

The area of a rectangle is length time width.

Given that;

The width of rectangular building = 3y

The length of rectangular building = 4y + 9

Now,

Area of rectangle = length x width

Substitute all the values we get;

Area of a rectangle = 3y (4y + 9)

                              = 12y² + 36y

Thus, The area A of the rectangular building in terms of y will be

⇒ (12y² + 36y)

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factor 2x^3 + 5x^2y - 2xy^2 - 5

Answers

Answer:

The expression is not factorable with rational numbers.

Hope this helps.

This is not a factorable with rational numbers . have a good day

Find the length of a rectangular prism if the volume is 70 m3 the width is 2 m and the height is 7 m​

Answers

Answer:

5m

Step-by-step explanation:

V=whl

Solving forl

l=V

hw=70

7·2=5m

Hey could someone help me with this question?

Answers

Answer:

u = 5 m/s

Step-by-step explanation:

Given

s = 20 mt = 2 sa = 5 m/s²

Required Formula

s = ut + 1/2at²

Solving

20 = 2u + 1/2(5)(2)²20 = 2u + 102u = 10u = 5 m/s

DO GIVE CORRECT ANSWER other ways I will report you

1.You roll a standard, six-sided number cube. What is the probability of rolling a prime number or a number greater than 4?

2. Garrett throws a dart at a circular dart board. The dart board has a radius of 16 inches, and the bull’s eye in the center of the dart board has a radius of 6 inches. What is the probability that a dart thrown at random within the dartboard will hit the bull’s eye? Round your answer to the nearest tenth, if necessary.

Answers

Step-by-step explanation:

for the prime number it's 1/2

Is this triangle acute, right, or obtuse?

acute

right

obtuse

Answers

Answer: Heyaa!

A Triangle is actue! :)

Step-by-step explanation:

Hopefully this helps you!!

Answer:

it's a right triangle

Step-by-step explanation:

at the bottom left corner of the triangle, there's a square that tells u that it's a right triangle

Here a brainliest if you get it right

Answers

Answer:

D.(2, 2)

Step-by-step explanation:

Staring point = (2, -4)Since he moved 6 units up, so, there will be change in only y-coordinate of the starting point and x-coordinate will remain unchanged.End point of the segment = (2, - 4 + 6) = (2, 2)

i need helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp again.

Answers

Answer:

C - 35 gallons per minute

Step-by-step explanation:

350 / 10

Answer:

350/10 = 35 gallons per minute

Step-by-step explanation:

In a bag are 100 marbles: 10 red, 20 white, 30 blue, and 40 green. If one marble is drawn from the bag, what is the probability that the marble will not be red, white, or blue?

Answers

Answer: 60/100 or 6/10 or 3/5

Step-by-step explanation:

We get 10+20+30=60.

We Covert to a fraction, 60/100

Reduce Down. 6/10

Reduce again, 3/5

Final answer is 3/5, the chance of it not being Red, White, or Blue is 3/5.

2.
3х + 5x - 12
solve by quadratic formula

Answers

Answer:

3/2

Step-by-step explanation:

Please give me brainlist

X= 3/2

Solve by adding 3x+5x which makes the equation 8x-12=0. Then you’d have to add 12 from the left to the right side to get 8x=12. You then divide 12 by 8 to get x= 3/2.

The line passes through ​(​8,-7​) and is parallel to the line whose equation is y=2x+2.

Answers

Answer:

y = 2x -23

Explanation:

Given equation: y = 2(x) + 2

Comparing with slope intercept formula: y = m(x) + b

                                             where m is slope, b is y-intercept

Here slope: 2 as parallel line has same slope

Find equation:

y - y1 = m(x-x1)

y -(-7) = 2(x-8)

y + 7 = 2x - 16

y = 2x - 16 - 7

y = 2x -23

Given graph to confirm answer:

y=2x+2

Compare to slope intercept form

Slope=m=2

Parallel lines have slopes equal

Equation in point slope form

y+7=2(x-8)y+7=2x-16y=2x-23


the heights of a group of
people are normally distributed
with a mean of 62 inches and a
standard deviation of 1.5. what
percent of the group is between
62 and 65 inches tall?

Answers

The percentage of the group that is between 62 and 65 inches tall is 47.725%

How to determine the probability?

The given parameters are:

Mean, μ = 62Standard deviation, σ = 1.5

Calculate the z-scores for x = 62 and x = 65 using:

z = (x - μ)/σ

So, we have:

z = (62 - 62)/1.5 = 0

z = (65 - 62)/1.5 = 2

The percentage is then represented as:

P(62 < x < 65) = P(0 < z < 2)

Rewrite as:

P(62 < x < 65) = P(z < 2) - P(z < 0)

Evaluate

P(62 < x < 65) = 0.47725

Express as percentage

P(62 < x < 65) = 47.725%

Hence, the percentage of the group that is between 62 and 65 inches tall is 47.725%

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