Prove that -4x - 3 (3x - 6) + 8 (2.5x + 3.5) equals 7x + 46 using the commutative property.

Answers

Answer 1

Let's simplify step-by-step.

−4x−3(3x6)+8(2.5x+3.5)

Distribute:

=−4x+−3(3x6)+(8)(2.5x)+(8)(3.5)

=−4x+−9x6+20x+28

Combine Like Terms:

=−4x+−9x6+20x+28

=(−9x6)+(−4x+20x)+(28)

=−9x6+16x+28

Answer:

=−9x6+16x+28


Related Questions

Find the total cost to the nearest cent $115 coat; 7% tax

Answers

Answer:

$8.05

Step-by-step explanation:

1% of $115 = $1.15

$1.15 x 7 = $8.05

4x+5/6 = 7/2
solve for x

Answers

Answer:

4x=7/2-5/6

4x=21-5/6

4x=16/6

x=8/12

x=2/3

x=0.6666.....

Whose statement makes sense? Whose statement is nonsense? Carla said The shaded angle represents 1/4 of the circle, Adam states the shaded angle represents 3/8 of the circle

Answers

Step-by-step explanation:

The attached figure shows a circle. In this circle, some of the part is shaded with a color.

In the figure, we have drawn lines from red color. It shows that there is 1 part shaded out of 4 parts.

Carla said The shaded angle represents 1/4 of the circle while Adam states the shaded angle represents 3/8 of the circle.

The fraction for the shaded part is 1/4. Hence, Carla is correct.

Linear equation: 5(3x+9) -2x = 15x - 2 (x-5)

Answers

Answer:

There are no solutions.

Step-by-step explanation:

Let's solve your equation step-by-step.

5(3x+9)−2x=15x−2(x−5)

Step 1: Simplify both sides of the equation.

5(3x+9)−2x=15x−2(x−5)

(5)(3x)+(5)(9)+−2x=15x+(−2)(x)+(−2)(−5)(Distribute)

15x+45+−2x=15x+−2x+10

(15x+−2x)+(45)=(15x+−2x)+(10)(Combine Like Terms)

13x+45=13x+10

13x+45=13x+10

Step 2: Subtract 13x from both sides.

13x+45−13x=13x+10−13x

45=10

Step 3: Subtract 45 from both sides.

45−45=10−45

0=−35

There are no solutions.

Answer:

There are no solutions

Step-by-step explanation:

prove that for any value of x the expression (x-3)(x+7)-(x+5)(x-1) is negative

Answers

Answer:

you can prove it by making the first 2 expression less than the last 2 expressions

Step-by-step explanation:

(x-3)(x+7)-(x+5)(x-1)

(x-3)(x+7) < (x+5)(x-1)

x^2 +4x-21 < x^2 +4x-5

cancel out some terms

then it become -21<-5 which is true

31/2 divided by 51/4

Answers

Answer:

62/51

Step-by-step explanation:

When dividing by a fraction, you multiply by the reciprocal instead. So, multiply 31/2 times 51/4 to get 62/51

A group of 19 students and adults went to the museum. The ticket price
for a student was $4 and the ticket price for an adult Iwas $10. The total
cost of the tickets for the group was $118.
The number of students in the group was
The number of adults in the group was

Answers

Answer:

7 adults, 12 students

Step-by-step explanation:

10 20 30 40 50

60 70

74 78 82 86 90

94 98 102 106 110 114 118

which equation describes a line that contains the point (4,3) and is perpendicular to the line represented by the equation y=2/5x+3?

Answers

Answer:

The equation of the line  that contains the point (4,3) and is perpendicular to the line represented by the equation y=2/5x+3 will be:

[tex]y=-\frac{5}{2}x+13[/tex]

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slopeb is the y-intercept

Given the line

y=2/5x+3

comparing with the  slope-intercept form of the line equation

Thus, the slope of the line is: m = 2/5

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:  

slope = m = 2/5

Thus, the slope of the the new perpendicular line = – 1/m = [-1]/[2/5] = -5/2

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting the slope of perpendicular line m = -5/2 and the point (4, 3)

[tex]y-3=-\frac{5}{2}\left(x-4\right)[/tex]

Add 3 to both sides

[tex]y-3+3=-\frac{5}{2}\left(x-4\right)+3[/tex]

[tex]y=-\frac{5}{2}x+13[/tex]

Therefore, the equation of the line  that contains the point (4,3) and is perpendicular to the line represented by the equation y=2/5x+3 will be:

[tex]y=-\frac{5}{2}x+13[/tex]

Please help guys!!!!! I forgot who you do this?

Answers

Answer:

16 m

You need to get the complete area  then get the unknown side to get the small  rectangle, least subtract.

In parallelogram ABCD, diagonals AC------- and BD------- intersect at point E, AE = x + 16, and CE=5x
What is AC?
Enter your answer in the box.

Answers

Answer:

AC = 40

Step-by-step explanation:

A quadrilateral is a polygon shape with four sides and four angles. The interior angle of a quadrilateral sums up to 360°.

A parallelogram is a quadrilateral (has four sides and four angles) in which has two pair of opposite sides are parallel to each other. The diagonals of a parallelogram bisect each other.

Given parallelogram ABCD:

Diagonals AC and BD bisect each other at point E. Hence:

AC = AE + CE (line segment addition postulate)

Also:

AE = CE (diagonal BD bisects AC at point E).

Hence; x + 16 = 5x

5x - x = 16

4x = 16

x = 4

AE = x + 16 = 4 + 16 = 20; CE= 5x = 5(4) = 20

AC = AE + CE = 20+ 20 = 40

[tex]2x^{2}+3x-20=0[/tex]

Answers

x1= -4
x2= 5/2 or 2.5

help pls
15. In a parallelogram ABCD, AB = 7.2 cm and the perpendicular from Con<br />AB is 4.5 cm find its area.​

Answers

Answer: The area of the parallelogram ABCD = 32.4 sq. cm

Step-by-step explanation:

Given: In parallelogram ABCD, AB = 7.2 cm and the perpendicular drawn from C (altitude) on AB is 4.5 cm i.e.e height =4.5 cm.

Area of parallelogram = [tex](Base \times height)[/tex]

Then, Area of parallelogram ABCD = [tex]7.2\times4.5[/tex]

= [tex]32.4\ cm^2[/tex]

Therefore , the area of the parallelogram ABCD = 32.4 sq. cm

A surgery patient needs to lose 24 pounds before her upcoming surgery. Your patient lost 6 ½ pounds at the first 2 week checkup and 8 2/5 pounds at the next visit. How much more does the patient need to lose to achieve the weight lose needed for surgery?

Answers

Answer:

you add 8 2/5 and 6 1/2. the common denominator is 10, and when you add, you get 14 9/10. then you subtract

24 - 14 9/10 and you get 9 1/10

Help due today!!! Please im finna diiiieeeeee

Answers

Answer:

The equation is (20)6 = x

The answer is 120 cm

Step-by-step explanation:

Please help me.
Whoever answers this question right I will award them brainly.

Answers

Answer:

Step-by-step explanation:

Answer:

The correct answer is 12

the other angle also has to be 6x s

6x+6x+3x=180

15x=180

x=12

Hope This Helps!!!

Given:

ABC

3 = 1

Prove:

AC = BC





Which of the following is the reason for line 4 in the proof?

If two angles are equal in a triangle, then the sides opposite are equal.
CPCTE
Definition of isosceles triangle.

Answers

Answer:

I think the answer would be A) If two angles are equal in a triangle, then the sides opposite are equal.

Step-by-step explanation:

I hope this helps, have a nice day :]

AB = BC

AC is the opposite side of ∠2.

BC is the opposite side of ∠1.

Opposite sides of equal angles are equal.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

∠3 = ∠1

From the figure, we see that,

∠3 and ∠2 are vertical angles.

Vertical angles are equal.

Now,

∠2 = ∠1

AC is the side opposite to ∠2.

BC is the side opposite to ∠1.

The sides that are opposite to equal angles are also equal.

Thus,

AC and BC are equal.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

at a swimming pool the ratio of thoseing weraing sunscreen to those who are not wearing sunscreen was 7 to 5 if the number of people not wearing suncreen was 30 then which of the following was the number of people who are wearing sunscreen
A.25
B.36
C.38
D.42

Answers

Answer:

wearing to not wearing= 7:5

5x=30

x=6

7(6)= 42

Answer is 42

Step-by-step explanation:

Helppppl +the crown thing +12 points

Answers

Step-by-step explanation:

you should give points to x and find y

and then you will have some points of x and y

Two linear functions are represented in different ways. One linear function is represented by the equation y =−3x.

Answers

Answer: Y = -3x

Step-by-step explanation:not needed

ARE THEY SIMILAR HELP!

Answers

Answer:

YES THEY ARE SIMILAR

Step-by-step explanation:

good luck!

Answer:

I'm positive they are but I dont know for sure

Veronica went to the local convenience store to buy bread, milk, dishwashing liquid, and paper towels. The table below shows the cost for each item, including tax. Veronica gave the cashier a $10.00 bill. The cashier handed her 3 quarters and 4 pennies in change. Veronica thought she should have received more change.

Which mathematical explanation best supports Veronica's claim?
The cashier scanned the milk twice.
The cashier scanned the bread twice.
The cashier handed out 4 pennies instead of 4 dimes.
The cashier did not scan the dishwashing liquid.

Answers

Answer:

Cashier scanned the bread twice.

Step-by-step explanation:

= 2.49 + 2.19 + 1.47 + 0.87 = 7.02

= 7.02 + 0.75 = 7.77

= 7.77 + 0.04 = 7.81

With 2 dollars and 19 cents leftover, even if the pennies were changed to dimes, youd still have only get up to 8.17 which still leaves 1 dollar and 83 cents leftover.

With that eliminated what could have the cashier miss-scanned? The paper towels are incorrect because 1.47 + 7.81 doesnt make 10 dollars

The dishwashing liquid isn't right either, because 0.87 + 7.81 doesn't make 10 dollars aswell.

The milk is also incorrect because 2.49 + 7.81 doesnt make EXACTLY 10 dollars. The bread is to correct answer bevause 2.19 + 7.81 equals exactly 10 dollars.

Hope this helps :)

covert 10/4 into a mixed number in simplest form

Answers

Answer:

2 1/2

Step-by-step explanation:

10/4

5/2

2 1/2

Answer:

10/4= 2 2/4——> 2 1/2

Step-by-step explanation:

If triangle ABC is congruent to XYZ, which statement is always true

Answers

Answer:

B.

Step-by-step explanation:

BC and YZ are the two angles at the end of both equations, and will always line up in the triangle.

(hope this helps!)

Given that triangle ABC is congruent to triangle XYZ, the statement from the given options that is always true is:

B. [tex]\mathbf{\overline{BC} \cong \overline{YZ}}[/tex]

Recall:

Congruent triangles have all pairs of corresponding angles and side equal.

Thus, given that triangle ABC and triangle XYZ are congruent to each other, it means that:

<A is congruent to <X

<B is congruent to <Y

<C is congruent to <Z

AB is congruent to XY

BC is congruent to YZ

AC is congruent to XZ

Therefore, given that triangle ABC is congruent to triangle XYZ, the statement from the given options that is always true is:

B. [tex]\mathbf{\overline{BC} \cong \overline{YZ}}[/tex]

Learn more here:

https://brainly.com/question/9795907



1. The Addition and Subtraction symbols ___
the terms!

Answers

Answer:

hi srry but i was having trouble with this too and the other person is maybe right

Step-by-step explanation:

determine whether x=33 is a solution of the equation below 3= x/11

Answers

Answer:

Yes, x = 33 is a solution

Step-by-step explanation:

To see if it is a solution, plug in 33 as x

3 = x/11

3 = 33/11

3 = 3

Since this is correct, x = 33 is a solution.

Given,

The value of x is 33.

[tex] \implies \: 3 = \bf\dfrac{x}{11} [/tex]

[tex] \implies \: 3 \times 11 = \bf x[/tex]

Putting the value of x ..

[tex] \implies \: 33 = 33[/tex]

Left hand side is equal to right hand side, it means that x = 33 is a solution of given equation.

What is the slope of this ?

Answers

Answer:

Essentially, slope is rise/run. Rise is how many units up the graph, and run is how far to the left or right it goes. Rise will be negative if it's going down, and run will be negative if it's going left. There's two ways to find the slope in this case.

1. Stick to the more visual aspect of it, and count how many units up from one point to the next point. Point (1,2) is 2 units up from point (0,0). Then you count how many units right or left it goes. In this case, it's 1 towards the right. This means the rise/run comes out to be 2/1, which means the slope=2.

2. Look at the equations. y=mx+b is the linear format for these lines. y is the y coordinate, m is the slope, x is the x coordinate, and b is the y intercept (the point where x=0). These two lines have shared slope values, which means the slope for both of them is 2.

(please brainliest?)

help please ill give brainliest and more choose answers from the first picture

Answers

Graph 1 = 6
2=5
3=1
4=3
5=4

What value of x makes this equation true?

5x − 12 = 48

Answers

the answer should be 12

Answer:

5x - 12= 48

5x- 12 +12 = 48 +12

solution= 12

It would be nice if y’all helped me out

Answers

Answer: 0

Step-by-step explanation:

Slope is rise/run so if the y value is stagnant (10 in this case) then the line is horizontal and has no slope

Plis help and I’ll give brainly

Answers

Answer:

its 18

Step-by-step explanation:

plz mark brainlist

Answer:

3.  176

5. 122.2

7. 168

4. 13

6. 12.6

7. 492

Step-by-step explanation:

Other Questions
A rock moving in the +x-direction with speed 16.0 m/s has a net force applied to it at time t = 0, and this produces a constant acceleration in the x-direction that has magnitude 4.00 m/s2. For what three times t after the force is applied is the rock a distance of 24.0 m from its position at t = 0? which statement is true about the congruent triangles below? URGENT 50 points, please get this done ASAP the temperature outside is -4 is that colder or warmer temperature how do you know Guess what game this is from by some of the quotes!A body has been discovered!Well, that was a lie. Yknow, one of those lies to make us more united or whatever. Did you know half my lies are actually told with good intentions?Yay despair! Certain types of income are not allowed to be taxed. These types are known as __________ incomes. A. ignored B. exempt C. delayed D. underpaid Please select the best answer from the choices provided A B C D Can someone help me solve for x i need helppp!please. Set up a trig equation and solve for missing side. what are the points for?? :^) What happen when? sodium oxide reacts with HCL What was the state of the world at the end of the World War II? What plans were put into place to help rebuild? Select one the restricted domains of f(x)=(82x)2 that will make the inverse of f(x) a function. There may be more than one. which word best describes the music of John Cage Question 4Consider heptane, a linear compound composed of 7 carbons and 16hydrogens. In this experiment, would you expect this compound to havea small or large retention factor in this experiment? Solvey=3/4x 5/2x + 2y=5 Please help giving brainliest! As children receive new information, they are constantly creating, modifying, organizing, and reorganizing schemata.Group of answer choicesTrueFalse Why would a change in brain size be important for the evolution of hominids as opposed to other species? (Think beyond a big brain means they are smarter. What can you do with your brain that other organisms may not be able to?) What's +2 , 1/3+1/4 , 2^3 * 2^2?