which property explains why these two expressions are equal ? -5(x-4)=-5x+20)​

Answers

Answer 1

Answer:

distributive property of multiplication

Step-by-step explanation:

Given

Expression -5(x-4)= -5x+20

It is demonstrating the distributive property of multiplication

a(b + c) = ab + ac

Related Questions

if a=1/8 and c=4, find b

Answers

Answer:

A=1\8

c=4

then b=2

i am only do this by getting fun and do for help other

The value of [b] if a = 1/8 and c = 4 will be 33/16.

What is the mean of two numbers?

The mean of two numbers [a] and [b] is -

[M] = (a + b)/2

Given is that a = 1/8 and c = 4.

We have the following values -

a = 1/8

c = 4

Therefore, we can write the value of [b] as -

b= (1/8 + 4)/2

b = (33/8)/2

b = 33/8 x 1/2

b = 33/16

Therefore, the value of [b] if a = 1/8 and c = 4 will be 33/16.

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The function f(x) = 100x + 300 represents the cost for the physics club to attend science weekend at

the local theme park where x represents the number of students who attend. At least 4 students but

no more than 9 students will attend the fieldtrip due to transportation and chaperone restrictions.

9. Is this a discrete or continuous situation? Explain.

Answers

Answer:

Discrete

Step-by-step explanation:

Given the function:

f(x) = 100x + 300

Where ;

x = number of attendees

At least 4 students but no more than 9 students will attend the fieldtrip due to transportation and chaperone restrictions

Range of attendees :

4 ≤ x ≤ 9

Is this a discrete or continuous situation?

It is a discrete because the number of students who will attend the science weekend are finite and countable.

The number of attendees range from:

4, 5, 6, 7, 8 and 9.

The vertex of the graph of y = (x - 1)2.5 is

Answers

(1,-5) is the answer

Answer:

vertex = (1, - 5 )

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = (x - 1)² - 5 ← is in vertex form

with (h, k ) = (1, - 5 ) ← vertex

Add using the number line.

​​−9+6

Drag and drop the word Sum to the correct value on the number line.

Answers

Answer:

-3

Step-by-step explanation:

What is the equation of the line passing through the points (Two-fifths, StartFraction 19 Over 20 EndFraction) and (one-third, StartFraction 11 Over 12 EndFraction) in slope-intercept form?
y = one-half x minus three-fourths
y = one-half x + three-fourths
y = three-fourths x minus one-half
y = three-fourths x + one-half

Answers

Answer:

it was B

Step-by-step explanation:

cause i smart

Answer:

B

Step-by-step explanation:

Just took the test

Paul reads 5 pages in 4 minutes. How many pages can he read in 7 minutes?

Answers

Answer:
He can read 8.75 pages in 7 minutes

Explanation:
If you divide 5 and 4 the quotient would be 1.25 pages for every minute. If you multiply 1.25 by 7 minutes it’s 8.75

What is the value of the expression below when z=2

4z2-3z-4 please help

Answers

The answer is 4z squared - 3z - 4

what is the answer for x+7=2(x-15)

Answers

Answer:

x=37 Hope this helped <3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x+7=2(x−15)

x+7=(2)(x)+(2)(−15)(Distribute)

x+7=2x+−30

x+7=2x−30

Step 2: Subtract 2x from both sides.

x+7−2x=2x−30−2x

−x+7=−30

Step 3: Subtract 7 from both sides.

−x+7−7=−30−7

−x=−37

Step 4: Divide both sides by -1

Answer:

[tex]\boxed {x = 37}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]x + 7 = 2(x - 15)[/tex]

-Use Distributive Property:

[tex]x + 7 = 2(x - 15)[/tex]

[tex]x + 7 = 2x - 30[/tex]

-Take [tex]2x[/tex] and subtract it from [tex]x[/tex]:

[tex]x + 7 - 2x = 2x - 2x - 30[/tex]

[tex]-x + 7 = -30[/tex]

-Subtract [tex]7[/tex] to both sides:

[tex]-x + 7 - 7 = -30 - 7[/tex]

[tex]-x = -37[/tex]

-Divide both sides by [tex]-1[/tex]:

[tex]\frac{-x}{-1} = \frac{-37}{-1}[/tex]

[tex]\boxed {x = 37}[/tex]

So, the value of [tex]x[/tex] is [tex]37[/tex].

Which rule describes the relationship between the input and output pairs in the following table?
Input
Output
10
5
8
3
6.
1
Choose 1 answer:
Subtract 5 from the input to get the output.
Multiply the input by O. Then add 5 to the result to get the output.
Divide the input by 2. Then subtract 1 from the result to get the output.

Answers

Answer: subtract 5 from the input to get the output.

Step-by-step explanation:

the sum of the second and fourth of four consecutive integers is 110

Answers

Answer:

The integers:    53, 54, 55, 56

Step-by-step explanation:

Consecutive integers increase by 1, so if x is the smallest one, then the numbers are:

                      x,  x+1,  x+2,  x+3

the sum of the second and fourth: x+1 + x+3 = 2x+4

so:   2x + 4 = 110  ⇒  2x = 106   ⇒   x = 53

So the integers we are looking for:

                                                           53, 54, 55, 56

Please help with the questions, and if you can explain them

Answers

I hope this helps

I also would appreciate brainless

Determine the y-intercept of the following parabola:

y = 2(x - 5)2 + 4


(0,____ )

Answers

Answer:

              (0, 54)

Step-by-step explanation:

(x, y) = (0, __) ⇒ x=0

y = 2(x - 5)² + 4

y = 2(0 - 5)² + 4

y = 2×25 + 4

y = 50 + 4

y = 54  ⇒  (0, 54)


The following angle measures could form a triangle
(a)
111º, 28°, 31°
A
True
B
False

(b) Explain why the angle measures form a triangle or do not form a triangle.

Answers

Answer:

False

Step-by-step explanation:

All the angles in a triangle must add up to 180 degrees. Let's test this with the values given:

[tex]111+28+31[/tex]

[tex]= 170[/tex]

These angles only add up to 170°. Therefore, the answer is false, and these measures do not form a triangle.

The density of ice is:

· less than that of water

· equal than that of water

· greater than that of water

Answers

less than that of water

I really Need Help..

Answers

Answer:

Y= -1.2x

Step-by-step explanation:

Subtracting fractions with unlike denominators 9/3-6/10

Answers

Answer:

2 2/5

Step-by-step explanation:

Angad was thinking of a number. Angad doubles it and gets an answer of 46.8.
What was the original number?

Answers

23.4. Doubling is twice the amount. So dividing 46.8 by 2 will give you the original number

does anyone know how to do addition method?

Answers

Answer:

it should be 10x+3y=30 if im not mistaken

Step-by-step explanation:

you just add straight down with corresponding variables

a3 + 27 what sign is the first binomial

Answers

Answer:

a3+27

a +BC

=a 30

30+a

=30ⁿ

Write a system of linear equations that has (-4, 8) as the solution. Once you have made your system of equations, solve it algebraically to show that you do indeed get the solution (-4, 8).

Answers

Answer:

See below

Step-by-step explanation:

(-4, 8) has to be the solution.

1st equation: -4x+8y = 1

2nd equation: 8x - 4y = 1

These should work. Do the matrix-substitution combo method to see:

-4  8  1

.8 -4  -1

Reduce and and matrix-substitution combo:

1 0 -4

0 1  8

The reduced eckerd form of the matrix shows that the solutions are (-4, 8)

Therefore it -4x + 8u = 1 and 8x - 4y = 1 are the two equations for the system.

Select the compound inequality that does not belong with the other three.


a>4 or a 8

a>7 or a −9

Answers

Answer:

a>4 or a 9

Step-by-step explanation:

-9 is less than 7 thats why its a>4 or 8 a 9

who ever answers all these questions will get the brianlist and it has to be right please :)

Answers

0-Yellow

0.25-Green

-2-Blue

/-Green

π-Purple

I wish that answers your question

Thank You

What is the mean? 20,22,25,28,29,30,33,34 ( Show work )
Please help and thanks.

Answers

Answer:

27.6

Step-by-step explanation:

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

Answer:

27.625

Step-by-step explanation:

you need to add all those numbers and then divide your answer by the amount of numbers there are

20+22+25+28+29+30+33+34 =221

221÷8

What is an equation of the line that passes through the point (5,-5) and is parallel to the line x+5y=20

Answers

Answer:

y = [tex]-\frac{1}{5}[/tex]x - 4

Step-by-step explanation:

Given parameters:

   Coordinates  = (5, -5)

 Equation of the line, x + 5y = 20

Unknown:

Equation of the line parallel to this= ?

Solution:

To find the equation of the line, we must first understand that parallel lines are lines having the same slope. They do not cross each other at any point.

The equation of any straight line is given as;

          y = mx + c

y and x are the coordinates

m is the slope

c is the y- intercept

  Now,

         x + 5y = 20

  Let us find the slope of this line;

            5y  = -x + 20

Divide through by 5;

            y  = [tex]-\frac{1}{5}[/tex]x + 4

The slope of the new line is the coefficient of x;

  Slope =  [tex]-\frac{1}{5}[/tex]

So, let us find the y-intercept of the new line;

          -5 = [tex]-\frac{1}{5}[/tex] x 5 + c

          -5 = -1  + c

           c = -5 + 1   = -4

Now,

    y = [tex]-\frac{1}{5}[/tex]x - 4

Answer: y = -(1/5)x - 4

Step-by-step explanation:

PLEASE HELP UNIT ENDS I WILL GIVE BRAINIEST

Answers

Qno 1
(6,0)- yes
(2,2)- no
(0,4)-yes
(-3,2)-no
(3,2)- yes

Answer:

1 = 6,0

2= 2,3

Step-by-step explanation:

-3x + 4=6x-5 solve for x

Answers

-3x + 4 = 6x - 5
4+5 = 6x + 3x
9 = 9x
1 = x

x=1

Step-by-step explanation:

[tex] -3x + 4=6x-5\\\\6x+3x=4+5\\\\9x=9\\\\x=\sf{\dfrac{9}{9}}\\\\X=1[/tex]

Rena’s grandfather opened a savings account as a college fund for her. His initial deposit and the yearly simple interest rate are shown.

A college graduate is shown walking up stairs. The bottom step represents three thousand five hundred dollars. The value of the top step is unknown. The distance up the stairs is labeled four years. The simple interest rate is three point two five percent.

How much will Rena have in this account after 4 years?

Enter the correct answer in the box.

Answers

Answer:

Total amount (A) = $3,955

Step-by-step explanation:

Given:

Initial deposit (P) = $3,500

Rate of interest  (r) = 3.25%

Number of years (t) = 4

Find:

Total amount (A)

Computation:

Simple interest = (p)(r)(t)

Simple interest =  (3,500)(3.25)(4)

Simple Interest = $455

Total amount (A) = Initial deposit (P) + Simple Interest

Total amount (A) = 3,500 + 455

Total amount (A) = $3,955

How many angles are supplementary to the angle of 100 degrees?

Answers

Answer:

I think its 2 good luck

Step-by-step explanation:

Answer:

100 degrees and 80 degrees are supplementary angles

Step-by-step explanation:

2 angles are supplementary if they add up to 180 degrees

Triangle A B C is shown with centroid G. Lines are drawn from each point of the triangle through the centroid and to the midpoint of the opposite side to form line segment A D, line segment B E, and line segment C F. The length of line segment D G is x minus 15 and the length of line segment G A is x + 7.
G is the centroid of triangle ABC.

What is the value of x?

What is the length of segment DG?

What is the length of segment AG?

What is the length of segment AD?

Answers

Answer:

37

22

44

66

Step-by-step explanation:

the value of x is 37

the length of segment DG is 22 units

The length of segment AG is 44 units

the length of segment AD is 66 units

took it on edg

hope this helps (:

The length from the vertex to the centroid is twice the length from the

centroid to the midpoint of the opposite side.

x is 37Segment [tex]\overline {DG}[/tex] is 22Segment [tex]\overline {GA}[/tex] is 44Segment [tex]\overline {AD}[/tex] is 66

Reasons:

The known parameters are;

The centroid of ΔABC = Point G

Segments [tex]\overline {AD}[/tex], [tex]\overline {BE}[/tex], and [tex]\overline {CF}[/tex] are the medians of ΔABC

Length of line segments [tex]\overline {DG}[/tex] = x - 15

Length of line segments [tex]\overline {GA}[/tex] = x + 7

Required:

The value of x, and lengths of the segments of median [tex]\overline {AD}[/tex]

The median is divided at the centroid of the triangle to ratio 2:1

[tex]Length \ of \ line \ segment \ \overline{GA} = \dfrac{2}{3} \times \overline{AD}[/tex]

Therefore;

[tex]\overline{AD} = \mathbf{\dfrac{3}{2} \times \overline{GA}}[/tex]

[tex]Length \ of \ line \ segment \ \overline{DG} = \mathbf{\dfrac{1}{3} \times \overline{AD}}[/tex]

Therefore;

[tex]\overline{AD} = 3\times \overline{DG}[/tex]

Which gives;

[tex]\dfrac{3}{2} \times \overline{GA} = 3\times \overline{DG}[/tex]

Therefore;

[tex]\dfrac{3}{2} \times (x + 7) = 3\times (x - 15)[/tex]

3·x + 21 = 6·x - 90

21 + 90 = 6·x - 3·x

111 = 3·x

3·x = 111

[tex]x = \dfrac{111}{3} = 37[/tex]

x = 37

[tex]\overline {DG}[/tex] = x - 15

The length of line segment [tex]\overline {DG}[/tex] = 37 - 15 = 22

[tex]\overline {GA}[/tex] = x + 7

Length of line segment [tex]\overline {GA}[/tex] = 37 + 7 = 44

[tex]\overline {AD}[/tex] = [tex]\overline {DG}[/tex] + [tex]\overline {GA}[/tex]

Therefore;

Length of line segment [tex]\overline {AD}[/tex] = 22 + 44 = 66

Learn more here:

https://brainly.com/question/7698132

0.6x + 3 = 0.1x - 7 what value of x makes the question true

Answers

Answer:x=-20

Step-by-step explanation:

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