what is the product of (5x-8)(2x+6)

Answer

15

Step-by-step explanation:

12-3²+6÷(10÷5)x2²

12-9+6÷2x4

12-9+3x4

12-9+12

3+12

15

This is the only one I saw wrong. you added wrong

Answer:

um, I checked the questions you asked and we have the same questions, I think we might be in the same school lol

There are 4.9 x 10³ times greater is the mass of a gold atom than the mass of a helium-4 atom.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

The mass of a gold atom is 3.29 x 10⁻²² grams.

And, The mass of a helium-4 atom is, 6.65 x 10⁻²⁴ grams.

Hence, The amount of greater is the mass of a gold atom than the mass of a helium-4 atom is,

⇒ 3.29 x 10⁻²² /  6.65 x 10⁻²⁴

⇒ 0.49 x 10²

⇒ 4.9 x 10³

Thus, There are 4.9 x 10³ times greater is the mass of a gold atom than the mass of a helium-4 atom.

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Answer:

13

Step-by-step explanation:

500(x-3)=5000

500x-1500=5000

500x=5000+1500

500x=6500  /:500

x=13

Answer:

13

Step-by-step explanation:

cuz

13-3=10

10x500=5000

Answer:

6 units

Step-by-step explanation:

Here, The distance between two points is 6 units

-TheUnknownScientist

x^2 - 3x = x ( x - 3 )

ʜᴏᴘᴇ ʏᴏᴜ ɢᴇᴛ ᴡᴇʟʟ

Answer:

(24m-8)-(3m+1)

24m-8-3m-1 (expanding)

24m-3m-8-1 (collect like terms.)

21m-9 (simplified form)

Answer:

The answer should be A I think

Answer:

Step-by-step explanation:

[tex]n^2+8n+12\\\\[/tex]

Break the expressions into groups

[tex]=\left(n^2+2n\right)+\left(6n+12\right)\\\\[/tex]

Factor out n from n^2+2n

Factor out 6 from 6n+12

[tex]=n\left(n+2\right)+6\left(n+2\right)[/tex]

Factor out common term : n+2

[tex]=\left(n+2\right)\left(n+6\right)[/tex]

The factors of the quadratic equation by applying the factorization method are (n + 2) and (n + 6).

Given that,

The quadratic equation is,

n² + 8n + 12

Used the factorization method to factor the quadratic equation.

Now, factor the equation,

n² + 8n + 12

n² + (6 + 2)n + 12

n² + 6n + 2n + 12

n (n + 6) + 2(n + 6)

(n + 2) (n + 6)

Therefore, the factors of the equation are (n + 2) and (n + 6).

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Answer:

Step-by-step explanation:

Coordinates of point B in terms of A and C:

Find the coordinates:

The orange highlighted answer is right bc in order to get the number of centimeters in a foot youd multiply the 2.54*12 and then multiply that by 2 to get number of centimeters in two feet

hope it helps :)

Step-by-step explanation:

you need to use pythagorean theorem to solve to do it fast, just take the square root of the two two side squared. that would give you the answer the fastest

Answer:

11

Step-by-step explanation:

Answer:

here is your ans

Step-by-step explanation:

14a=b-6=14a+b-6

Answer:

0.5 ft or 6 in

Step-by-step explanation:

Simply do 8/16, each piece is half a foot (6 inches) long

Answer:

6 inches.

Step-by-step explanation:

First, we know that 8 feet is equal to 96 inches.

96/16 = 6.

So 6 inches per fence post.

Hope this helps!

Answer:

1) The function is decreasing exponentially at a rate of 15% every decade.

2) The function is increasing exponentially at a rate of 20% every year.

Step-by-step explanation:

1) 1–0.85 = 0.15

0.15 x 100 = 15%

2) 1.2–1 = 0.2

0.2 x 100 = 20%

Answer:

c) 32.5

Step-by-step explanation:

the formula for the mean of a data set is-

average= sum/count

14+54+54+35+25+34+21+23=260

so now we have our sum- 260

for the count, we just have to count how many numbers there are-

8

average= sum/count

=260/8

=32.5

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Answer:

$493.01

Step-by-step explanation:

463.28 + 28.35 + 78.88 - 77.50

Answer:

493.01

Step-by-step explanation:

463.28 + (28.35+78.88) = 570.51

Deposits means to add money.

570.51 - 77.50 = 493.01

Answer:

95%

Step-by-step explanation:

When a value is multiplied by 0.05 ;

The equivalent percentage decrease on the value is :

(1 - 0.05) * 100%

0.95 * 100%

= 95%

Therefore, Multiplying a value by 0.05 is the same as decreasing by 95%

Answer:

First we have the function f(x) = 27*x  - 67.5

It has an x-intercept at (a, 0)

This means that:

f(a) = 0 = 27*a - 67.5

Solving the above equation we can find the value of a.

0 = 27*a - 67.5

67.5 = 27*a

67.5/27 = a = 2.5

Now let's look at equation g(x).

It is a linear equation, remember that a linear equation can be written as:

g(x) = y = A*x + B

Where:

A is the slope, and B is the y-intercept.

If the line passes through the points (x₁, y₁) and (x₂. y₂), the slope can be written as:

A = (y₂ - y₁)/(x₂ - x₁)

In this case we can select any two points from the table, for example, I will use the second and third points:

(1, 39) and (2, 32.5)

Then the slope is:

A = (32.5 - 39)/(2 - 1) = -6.5/1 = -6.5

Then the equation is something like:

g(x) = y = -6.5*x + B

B is the y-intercept, to find this value, we can use one of the two points we used before.

For example, (1, 39) means that g(1) = 39

Then:

g(1) = -6.5*1 + B = 39

     = B = 39 + 6.5 = 45.5

Then the equation for g(x) is:

g(x) = -6.5*x + 45.5

Now, we know that g(x) has an x-intercept at (b, 0)

this means that:

g(b) = 0 = -6.5*b + 45.5

6.5*b = 45.5

b = 45.5/6.5 = 7

Then the difference between b and a is:

b - a = 7 - 2.5 = 4.5

b is equal to a plus 4.5

And the ratio is:

b/a = 7/2.5 = 2.8

b is 2,8 times larger than a.

Answer:

-12 and 8

Step-by-step explanation:

Answer:

8 and -12

Step-by-step explanation:

xy = -96

x+y = -4

x = -y-4 which is the same as

substitution method:

y(-y-4) = -96

-y² - 4y + 96 = 0

-(y² + 4y - 96) = 0

(y + 12)(y - 8) = 0

y = -12

y = 8

Answer:

Hello! Your answer would be, 199.

Step-by-step explanation:

Hope I helped! Brainiest plz!♥ Have a nice morning! Hope you make a 100%! -Abby

Answer:

yes

Step-by-step explanation:

The bases are right triangles with side lengths of 12 centimeters, 16 centimeters, and 20 centimeters.

Answer:

yes

Step-by-step explanation:

If you use the formula [tex]a^{2} +b^{2} =c^{2}[/tex] you get 20 which confirms that is a right triangle

Answer:

3.33

Step-by-step explanation:

each cube represents 1, so each flat represents 0.1 and each unit represents 0.01. so if there are 3 of each, it would be 3+0.3+0.03 which equals 3.33

Answer:

3.33

Step-by-step explanation:

Each cube in this picture is equal to 1 unit as the diagram in the upper right corner shows.

We have 3 cubes so -> 1 + 1 + 1 = 3

We also have 3 squares that are 1/10th of a cube.

1/10 * 1 = 0.1  so each square is equal to 0.1 unit.

We have 3 squares so it would be 0.1 + 0.1 + 0.1 = 0.3

We have 3 tiny squares that are 1/100th of a cube.

1/100 * 1 = 0.01 so each tiny square is equal to 0.01 unit.

We have 3 tiny squares so it would be 0.01 + 0.01 + 0.01 = 0.03

Add everything up: 3 + 0.3 + 0.03 = 3.33

Answer:

The total number of stamps that Tom collect at the end of X weeks is

[tex]32 + 8 * X[/tex]

Step-by-step explanation:

Complete question

Tom started a stamp collection with 32 stamps. Each week he added 8 stamps to his collection.

Rhea started her stamp collection with 102 stamps. Each week she gave away 6 stamps.

Write an equation to represent the number of stamps in Tom’s collection based on the  number of weeks he has been collecting stamps.

Solution

Let "X" be the number of weeks for which Tom collected the stamps

The number of stamps that Tom had at the time of starting the collection [tex]= 32[/tex]

It is given that he collects 8 stamps per week

So the total number of stamps that Tom collect at the end of X weeks is

[tex]32 + 8 * X[/tex]

Given:

The figure of circle E. [tex]m\angle ABD=(11x-3)^\circ,m\angle ACD=(8x+15)^\circ[/tex].

To find:

The measure of arc AD.

Solution:

We know that the inscribed angles on the same arc are congruent and their measures are equal.

[tex]\angle ABD[/tex] and [tex]\angle ACD[/tex] are inscribed angles on the same arc AD. So,

[tex]m\angle ABD=m\angle ACD[/tex]

[tex]11x-3=8x+15[/tex]

[tex]11x-8x=3+15[/tex]

[tex]3x=18[/tex]

[tex]x=6[/tex]

Now,

[tex]m\angle ABD=(11x-3)^\circ[/tex]

[tex]m\angle ABD=(11(6)-3)^\circ[/tex]

[tex]m\angle ABD=(66-3)^\circ[/tex]

[tex]m\angle ABD=63^\circ[/tex]

We know that the intercepted arc is always twice of the inscribed angle.

[tex]m(Arc(AD))=2\times m\angle ABD[/tex]

[tex]m(Arc(AD))=2\times 63^\circ[/tex]

[tex]m(Arc(AD))=126^\circ[/tex]

Therefore, the measure of arc AD is 126 degrees.