6-129. Nick represented the equation 3(2x+4)=-6 on the Equation Mat below. Choose a strategy to solve for x. You may continue to use algebra tiles, or you may use symbols on paper.

Answers

Answer 1

Answer:

x = -3

Step-by-step explanation:

You have the following equation:

[tex]3(2x+4)=-6\\[/tex]

you first you distribution property in order to eliminate the parenthesis:

[tex]3*2x+3*4=-6\\\\6x+12=-6[/tex]

next, you subtract 12 in both sides of the equation:

[tex]6x+12-12=-6-12\\\\6x=-18[/tex]

Finally, you divide the equation by 6 and simplify:

[tex]\frac{6x}{6}=-\frac{18}{6}\\\\x=-3[/tex]

hence, the solution to the equation is x = -3


Related Questions

Solve the equation.

29= p x 20

p= __

Answers

Answer:

1.45

Step-by-step explanation:

1. divide both sides of the equation by 20 to get rid of the 2o on the right side

[tex]\frac{29}{20}[/tex]= p x [tex]\frac{20}{20}[/tex]

now u end up with 1.45=p

hope it helped

On Friday,2,364 cars parked in the garage at the mall. On Sunday 2,455 more cars parked In the garage than on Friday. How many cars parked in the garage during the two days?

Answers

Answer:

7183 cars

Step-by-step explanation:

On Friday, 2364 cars parked in the garage.

On Sunday, 2,455 more cars parked In the garage than on Friday.

This means that the number of cars parked on Sunday is 2455 plus the number of cars parked on Friday, that is:

2455 + 2364 = 4819 cars

Therefore, the number of cars parked in the garage in the two days is:

4819 + 2364 = 7183 cars

7183 cars were parked during the two days.

1: which equation represents a linear function? a y= 4 x +1 b y=x2+2 c y=3 √ x+1 d y=- 2 3 x- 1 2​

Answers

Answer: A

Step-by-step explanation:

a.) [tex]y=4x+1[/tex]

b.)[tex]y=x^2+2[/tex]

c.)[tex]y=3\sqrt{x+1}[/tex]

d.)[tex]y=-2(3x-1)^2[/tex]

choices b and d are quadratic

choice c is a square root function

so the answer is a

let me know if i types the answers incorrectly

Two children are playing a code-breaking game. One child makes a sequence of three colors from red, yellow, blue, and purple. The other child must guess the sequence of colors in the correct order. Once one color is used, it cannot be repeated in the sequence.

What is the probability that the sequence is guessed on the first try?

StartFraction 1 Over 24 EndFraction
One-eighth
One-fourth
One-third

Answers

Answer:

1/24

Step-by-step explanation:

i just took it

The probability that the sequence is guessed on the first try is 1/24.

Probability

Total colors available for making code=4

Colors required for making code=3

Hence:

Total ways of making code=4p3=4!/(4-3)!

=4×3×2×1/1

=24

Probability that the sequence is guessed on the first try=1/Total ways of making code

Probability that the sequence is guessed on the first try=1/24

Therefore the correct option is A.

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WILL GIVE BRAINLIEST PLEASE HELP!

Answers

Answer:

A. is 5. B. is 1.C. is 4.D. is 2.E. is 3.F. is 6.

Step-by-step explanation:

Slope is rise over run.

For example, 2 is equivalent to 2/2 so you find the graph that has a point at (2, 2).

Hope this helps :D

Suppose compact fluorescent light bulbs last, on average, 11,500 hours. The distribution is normal and the standard deviation is 400 hours. What percent of light bulbs burn out within 12,300 hours?

Answers

Answer:

2.275%

Step-by-step explanation:

The first thing to do here is to calculate the z-score

Mathematically;

z-score = (x-mean)/SD

from the question, x = 12,300 hours , mean = 11,500 hours while Standard deviation(SD) = 400 hours

Plugging the values we have;

z-score = (12,300-11,500)/400 = 800/400 = 2

Now, we want to calculate P(z ≤ 2)

This is so because we are calculating within a particular value

To calculate this, we use the z-score table.

Mathematically;

P(z ≤ 2) = 1 - P(z > 2) = 1 - 0.97725 = 0.02275

To percentage = 2.275%

Q1: Tyson is taking his basketball team to watch a college basketball game. He bought 8 tickets for $168 $ 168 . One parent bought her son's ticket separately and paid $24 $ 24 . ​Who had the better deal?

Answers

Answer:

Tyson had the better deal

Step-by-step explanation:

We simply want to know who paid less for the ticket.

Tyson bought 8 tickets for the members of his basketball team and it cost it $168 in total.

The cost of each ticket is therefore:

168 / 8 = $21

He paid $21 for each ticket.

The parent bought her son's ticket for $24.

Therefore, Tyson had the better deal because he paid $3 less than the woman.

Find the area

Please help me thank you!

Answers

Answer:

area = 12

Step-by-step explanation:

The frame of the given window is made
of a rectangle with semi-circular top.
Find its perimeter and area.
2.1 m
1.4 m​

Answers

Answer:

3.7096902=area

Step-by-step explanation:

2.1x1.4=2.94m^2

2.94+(.5pi(.7^2))

Three is what percent of 600

Answers

Answer:

0.5.

Step-by-step explanation:

What term must we add to complete the square on x^2 + 12x


Answers

Answer:

Step-by-step explanation:

You need to first find what x equals before you can solve the equation.

Answer:

36

Step-by-step explanation:

x^2+2xy+y^2

12x/2x=6=y

y^2=36

How does the graph change between point A and point C?
D
The graph increases, then decreases.
The graph decreases, then remains constant
The graph decreases, then increases.
The graph increases, then remains constant

Answers

Answer:

d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Got 100% on a quiz

50pts

Kadesha says that the triangles represent a translation. On a coordinate plane, triangle A B C has points (1, negative 1), (1, negative 4), (4, negative 4). Triangle A prime B prime C prime has points (1, 5), (1, 1), and (4, 1). Which explains whether Kadesha is correct?
A) Kadesha is correct because triangle ABC is the pre-image and triangle A prime B prime C prime is the image.
B) Kadesha is correct because each point in triangle ABC moves five units up.
C) Kadesha is not correct because the number of units between points A and B is different than those between points A primeand B prime.
D) Kadesha is not correct because a translation is a horizontal movement.

Answers

Answer: Option C is most Appropriate.

C) Kadesha is not correct because the number of units between points A and B is different than those between points A primeand B prime.

Step-by-step explanation:

Coordinates of vertices of ΔABC are =A(1,-1), B(1,-4),C(4,-4)

 Coordinates of vertices of ΔA'B'C' are =A'(1,5), B'(1,1),C(4,1)

Suppose, Preimage =ΔABC

Image =ΔA'B'C'

If you will find distance between two vertices of Both the triangles or length of sides of triangles

Kadesha is not correct because the number of units between points A and B is different than those between points A prime and B prime. Option (C) is the correct answer.

What is a graph?

"A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things".

For the given situation,

The triangle ABC has points A(1,-1), B(1,-4), C(4,-4)

The triangle A'B'C' has points A'(1,5), B'(1,1), C'(4,1)

Plot these two triangles in the graph as shown below.

The graph shows the relation between the triangle ABC and A'B'C'.

Both the triangles are separated by different units and are not images of one another.

Hence we can conclude that Kadesha is not correct because the number of units between points A and B is different than those between points A prime and B prime. Option (C) is the correct answer.

Learn more about graphs here

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what is 7/4 - (-1/4)

Answers

Answer:

2

Step-by-step explanation:

7/4 - (-1/4)

Subtracting a negative is adding

7/4 + 1/4

8/4

Simplifying

2

Natalie has $250 in savings. At the end of 6 months, she has $450 in savings. What is the percent increase in the amount of her savings?

Answers

80 percent. 80 percent of 250 is 200 and 250 increased by a total of 200 therefore 80%

Answer: 80%

Step-by-step explanation:

Rule of 3.

Let's put the money on the left side and the percents on the right side.

[tex]\frac{250}{450}=\frac{100}{x}[/tex]

Solve for x:

[tex]x=\frac{450*100}{250}[/tex]

[tex]x=180[/tex]

Subtract 100 from 180

180-100=80

The local recycling center sends a truck to the school once a month to collect the paper that was recycled. Each month, the truck picks up 642.3 pounds of paper. How much would the truck pick up after 3 months? __

Answers

Answer: 1,926.9

Explain: If you ever come across a question that asks you how much a number would be after 2, 3, 4, 5, and so on.  All you have to do is multiply that first number with the second.

Example: if the gardener collects 20 carrots a week.  How many carrots did the gardener collect in a span of 5 weeks?

Simply just multiply 20 x 5 = 100.

factor: 10xsquared -11x-6=

Answers

Answer:

(5x+2)(2x-3)

Step-by-step explanation:

this is the answer


Solve the system of equations by the substitution method.
x+y=4
y=-3x

Answers

Answer:

X= -2 Y=6

Step-by-step explanation:

Answer:

x= -2 y=6

Step-by-step explanation:

-2+6=4

6=-3 x -2

A cone with height of 6 feet and volume of 86 feet cubed.
Answer the questions to find the base area of the cone.

Which equation substitutes the given values into the formula for the corresponding variables

Answers

Answer:

The formula is 86=1/3B (6)

The base area is 43.00 square feet

Step-by-step explanation:

V is 86 so that goes in spot, hv to divide 1/3 and hv to find B so last spot is putting in height which is 6. That makes equation

Solving equation

86=(1/3) B(6)

Divide 6 by 1/3

(3/1) 1/3 = 6 (3/1)

86 = 2pi *

43.00 square feet

Im not sure if the solving part of the equation is completely correct, but answers for both are correct. C;

Answer:

both of the answers are C

Step-by-step explanation:

Which solution is possible: 7+x <19
x=4
x=12
x=13
x=19
Other:

Answers

Answer:

x = 4

Step-by-step explanation:

Note that it is only less than, not less than or equal too. Numbers that are 11 & less are the only ones that work.

x = 4 is your only answer choice that is less than 11, therefore is your only answer.

~

Answer:

none of the above, you need a lesser number

Cross multiplication method, find the value z and y for 3x + 5y = 70 and 7x-3y =60

Answers

Answer:

Y=7.05

X= 11.6

Step-by-step explanation:

Equate both equations to zero

3x+5y=70--------equation 1

7x-3y=60---------equation 2

From the equation above

a1=3, b1=5, c1=-70

a2=7, b2= -3, c2=-60

By applying the cross multiplication method

x/b1c2-b2c1= y/a2c1-a1c2= 1/a1b2-a2b1

x/(5)(-60)-(-3)(-70)=y/(7)(-70)-(3)(-60)=1/(3)(-3)-(7)(5)

x/-300-(-210)=y/-490-(-180)=1/-9(-35)

x/-510=y/-310=1/-44

x/-510=1/-44 , y/-310=1/-44

-44x=-510 , -44y= -310

x=11.6 , y=7.05

Thus, the value of x is 11.6 and the value of y is 7.05

A cylinder has a base radius of 4m and a height of 6m. What is its volume in cubic m,
to the nearest tenths place?​

Answers

Answer:

301.4

Step-by-step explanation:

Volume of a cylinder=pi*[tex]r^{2}[/tex]*h.  Assuming you want 3.14 for pi, we can substitue the 4m for r, 6 for h and 3.14 for pi.

V=3.14*[tex]4^{2}[/tex]*6

V=301.44

Since you want to round to nearest tenths, the answer is 301.4

The volume of the cylinder with the given value of radius and height to the nearest tenth place is 301.4 cubic meters.

What is a cylinder?

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Given the data in the question;

Radius r = 4mHeight h = 6mVolume of the cylinder V = ?

We substitute our values into the expression above.

V = π × r² × h

V = 3.14 × (4m)² × 6m

V = 3.14 × 16m² × 6m

V = 301.4m³

The volume of the cylinder with the given value of radius and height to the nearest tenth place is 301.4 cubic meters.

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these 15 colored pencils make up 20% of jordon's colored pencil collection.how many colored pencils does jordon have in his collections

Answers

Answer:

75 coloured pencils

Step-by-step explanation:

Let's say Jordon has x total pencils.

We know that 20% of these x pencils is 15, so we have:

20% * x = 15

Remember that % is just "out of 100", so 20% = 20/100 = 0.20. Then:

0.20x = 15

x = 15 / 0.20 = 75

Jordon has 75 coloured pencils.

Answer:

75 pencils

Step-by-step explanation:

Let the total no. of pencils be T

20% of T = 15

20/100 × T = 15

T = 15 × 100/20

T = 15 × 5

T = 75

Which is the most efficient first step to solve for x in the equation 3.7 x minus 18 = negative 4.3 x minus 3

Answers

First, you need to isolate the variable so you can solve the equation. You can move the number to the other side of the equal sign as long as you switch the sign (-/+) So your equation will look like this :

3.7x+4.3x-18=-3

Next, take the 18 and switch is so it will be with the 3:

3.7x+4.3x=-3+18

Now that like terms (variables with variables and regular numbers with regular numbers) you can solve:

8x=15

x=15/8

Hope this helps, and sorry if I did the work wrong but the directions are 100% right!

Answer:

c

Step-by-step explanation:

First, you need to isolate the variable so you can solve the equation. You can move the number to the other side of the equal sign as long as you switch the sign (-/+) So your equation will look like this :

3.7x+4.3x-18=-3

Next, take the 18 and switch is so it will be with the 3:

3.7x+4.3x=-3+18

Now that like terms (variables with variables and regular numbers with regular numbers) you can solve:

8x=15

x=15/8

Hope this helps, and sorry if I did the work wrong but the directions are 100% right!  :)

Suppose the board of directors for Cosmic Coffee wants to know the price range for the lowest 40% of drink sales. Find the z-score associated with the upper boundary of of this price range.

Answers

Answer:

The z-score associated with the upper boundary of of this price range is -0.25.

Step-by-step explanation:

It is provided that the board of directors for Cosmic Coffee wants to know the price range for the lowest 40% of drink sales.

If X represents the price range of drink sales, then

P (X < x) = 0.40

Consider that X follows a Normal distribution.

To compute the probability of a normally distributed random variable we need to first convert the raw score to the z-scores.

The formula to z-score is:

[tex]z=\frac{X-\mu}{\sigma}[/tex]

Then,

P (X < x) = 0.40

⇒ P (Z < z) = 0.40

The value of z for this probability is:

z = -0.25

*Use a z-table.

Thus, the z-score associated with the upper boundary of of this price range is -0.25.

Answer:

-0.25

Step-by-step explanation:

correct on plato

An angle measures 39.2° less than the measure of its complementary angle. What is the measure of each angle?

Answers

Answer: The measures of the angles are 64.6 degrees and 25.4 degrees.

Step-by-step explanation:

Complementary angles add up to 90 degrees.

x can be one angle, and (x-39.2) can be the other

x + (x-39.2) = 90

2x - 39.2 = 90

add 39.2 to both sides

2x = 129.2

divide each side by 2

x = 64.6

find the measure of the other angle

64.6-39.2 = 25.4

The measures of the angles are 64.6 degrees and 25.4 degrees.

Answer:

25.4 and 64.6

Step-by-step explanation:

Suppose two complementary angles of measures x And y then

x + y = 90 and y = x - 39.2

if we plug in  x - 39.2 instead of y in the equation x + y = 90 we get :

x + (x - 39.2) = 90

then

2x = 90 + 39.2

then

2x = 129.2

then

x = 129.2/2 = 64.6

therefore

y = 64.6 - 39.2

  = 25.4

______________________________

:)

For this question, we are concerned with the movement of an object
along a path in the plane. We are assuming that the plane is a
coordinate plane and the object starts at the point. As the object
moves along the path, each point on that path has two coordinates.
The coordinates depend on the distance traveled along the path. Let
us call this distance S, the length of the path from the origin to a point
P on the path.
What value of s yields the coordinate (3, 4)?
What value of s yields the coordinate (9, 1)?
x (6) =
y (7) =

Answers

Answer:

We have to questions here where we need to find the distance from the origin to each given point.

For (3,4).

The formula for distance is

[tex]s=\sqrt{x^{2}+y^{2} }[/tex]

[tex]s_{(3,4)}=\sqrt{3^{2}+4^{2} } =\sqrt{9+16}=\sqrt{25}\\ s_{(3,4)}=5[/tex]

Therefore, the value s that yields the coordinate (3,4) is 5 units.

For (9,1).

[tex]s_{(9,1)}=\sqrt{9^{2}+1^{2} } =\sqrt{81+1}=\sqrt{82}\\ s_{(9,1)} \approx 9.05[/tex]

Therefore, the value s that yields the coordinate (9,1) is 9.05 units, approximately.

The values of s that yield the coordinates (3.4) and (9,1) are: 5 and 9.1, respectively

The coordinates are given as:

(3,4) and (9,1)

The single value that yields the coordinates is calculated as:

[tex]s = \sqrt{x^2 + y^2}[/tex]

For (3,4), we have:

[tex]s = \sqrt{3^2 + 4^2} = 4[/tex]

For (9,1), we have:

[tex]s = \sqrt{9^2 + 1^2} = 9.1[/tex]

Hence, the values of s that yield the coordinates (3.4) and (9,1) are: 5 and 9.1, respectively

Read more about coordinates at:

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help me pls i dont know what to do

Answers

The answer is the last one: k = 5

Hope I helped and good luck!

Find the square root of 200 up to two decimals

Answers

Answer:

Erm

Step-by-step explanation:

14.14

Lila has gained a lot of weight recently she works out and watches her intake but she's still gaining weight when she visited the doctor she told her that she had a problem with one of her endocrine glands which gland would most likely have a tissue with maintaining the breakdown of foods

Answers

Answer:

The Pancreatic gland is the gland responsible for maintaining the breakdown of foods in the body.

Step-by-step explanation:

The pancreatic gland can function as an endocrine gland, which is responsible for the secretion of glucagon and  insulin. These two enzymes are responsible for the maintaining of the glucose levels of the body.

The insulin in Lila's body is meant to reduce her blood sugar, by helping the cells to be able to absorb the glucose, and use it as energy to drive her exercise and her daily routines. However, if there is a problem with the pancreas, the glucose will just be in the blood stream, without getting to the cells and Lila will keep on feeling hungry all the time. This is probably why she will keep on gaining weight.

Answer:

A. The thyroid

Step-by-step explanation:

Searched it up...

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