Simplify the expression 4(n-3) + 2(-3+n)

By solving a linaer equation we can see that thevalue of x is 8, then the measures of the angles are:

∠JMK = 50°

∠KML = 35°

Then we can see that the two true statements are C and D.

On the image we can see that:

∠JML = ∠JMK + ∠KML

We know that ∠JML = 85°, and that:

∠JMK = (6x + 2)°

∠KML = (4x + 3)°

If we replace all that in the above equation, we will get a linear equation:

85° =  (6x + 2)° + (4x + 3)°

Which can be used to find the value of x.

Solving that we will get:

85 = 6x + 2 + 4x + 3

85 = 10x + 5

(85 - 5)/10 = x = 8

The value of x is 8, then we can replace it in the equations for the measures of the angles, doing that we will get:

∠JMK = (6x + 2)° = (6*8 + 2)° = 50°

∠KML = (4x + 3)° = (4*8 + 3)° = 35°

Now that we know the measures we can look at the given statements, and we can see that the two true statements are C and D.

If you want to learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

Complete Question

The complete question is shown on the first uploaded image

Answer:

The correct option is  C

Step-by-step explanation:

From the question we are told that

  The population mean is p =  64

  The sample size is  n =  56

   The sample mean is  \(\=  x  =  64.79\)

  The standard deviation is  \(s = 2.77\)

    The null hypothesis is  \(H_o :  \mu =  64\)

    The alternative hypothesis is  \(H_a :  \mu > 64\)

    The test statistics \(t =  2.13\)

    The level of significance is  \(\alpha  = 0.05\)

    The p-value  is  \(0.01 <  p-value <  0.025\)

Given that the  \(p-value  <  \alpha\) we reject the null hypothesis

Answer:

$1,000.

Step-by-step explanation:

200 kids divided by 25% or 4 = 50 then 50 x 20 = 1,000.

Answer:

i think it is identity property

Step-by-step explanation:

Answer: Reflexive Property of Equality

When the net is folded into the rectangular prism

A rectangular prism is a polyhedron in geometry that has two parallel and congruent bases. Another name for it is a cuboid.

Applying science of vision to see technical details in the prism, seeing letter B on the top means that D will be on the bottom.

the side we face will be C while the bac will be A

on the other side, the left end not showing is E and this make up all the part of the prism

Learn more about rectangular prism at:

https://brainly.com/question/26265930

#SPJ1

Answer:

4.75 megabytes per second

Step-by-step explanation:

500-25 = 475

475 / 100 = 4.75

Answer:

14.66 or 14.7

Step-by-step explanation:

if we solve the equation we get 14.6666 but since it goes on and on we round and put it on 14.7

Answer:

Step-by-step explanation:

11 ÷ 3/4 = \(11 * \frac{4}{3}\)

             \(=\frac{44}{3}\\\\=14\frac{2}{3}\)

Answer:

x+6=40

Subtract 6

x=34

Answer:

n + 6 = 40

n = 34

Step-by-step explanation:

Sum of a number and 6. That means you got to add n and 6.

'is' means you need to put an equal sign.

n + 6 = 40

Now, lets find what n is.

Isolate the variable by subtracting 6 from both sides.

n = 34

Problem 1

Reason: We start at 0 and move 4 units left. This is represented by 0+(-4) or 0-4. That simplifies to -4. Then add on 7 to move 7 units to the right to arrive at 3 as the final destination.

=============================================

Problem 2

Reason: We start at 0 and move 8 units to the right. That is represented by +8 or simply 8. Then the +3 will move us 3 more units to the right to get to 11 on the number line. This is one visual way to see why 8+3 = 11.

Answer:The amount of a 80% acid solution that must be mixed with a 55% solution to produce 600 mL of a 60% solution can be calculated using a simple algebraic equation. Let x represent the amount of the 80% acid solution in mL that needs to be mixed with the 55% solution.

The equation can be set up as follows:

0.80x + 0.55(600 - x) = 0.60(600)

Step-by-step explanation: The left-hand side of the equation represents the total amount of acid in the mixture. The first term, 0.80x, represents the amount of acid from the 80% solution, and the second term, 0.55(600 - x), represents the amount of acid from the 55% solution. The right-hand side of the equation represents the total amount of acid in the final 60% solution, which is 60% of 600 mL.

By solving this equation for x, we can determine the amount of the 80% acid solution that needs to be mixed with the 55% solution. Once we have the value of x, we can then calculate the amount of the 55% solution by subtracting x from 600 mL.

Internal Link: For a verified answer on a similar topic, check out this link: https://brainly.com/question/1234567 intext:Answer Expert Verified.

Let x=amount of 80% solution needed

Then 600-x=amount of 30% solution needed

Now we know that the pure acid in the 80% solution (0.80x) plus the amount of pure acid in the 30% solution ((0.30)(600-x)) has to equal the amount of pure acid in the final mixture(0.40*600), so our equation to solve is:

0.80x+0.30(600-x)=0.40*600 get rid of parens

0.80x+180-0.30x=240 subtract 180 from each side

0.80x+180-180-0.30x=240-180 collect like terms

0.50x=60 divide each side by 0.50

x=120 ml---------------------amount of 80% solution needed

600-x=600-120=480 ml---------------amount of 30% solution needed

CK

120*0.80+480*0.30=0.40*600

96+144=240

240=240

Answer:

4 pd / ft

140000 ft/pd

Step-by-step explanation:

Total Weight of cable = 800 pounds

Length of cable = 200 feets

Weight per foot = Total weight / length = 800 / 200 = 4 pounds per foot

Weight of piece will be :

Weight of cable - weight per foot * x

800 - 4x

Workdone with 300 pound load attached :

∫f(x)

f(x) = (800+300 - 4x) = 1100 - 4x

∫1100 - 4xdx at 200 to 0

Integrating the above

1100x - 4/2x² at x = 200 to 0

1100x - 2x²

1100(200) - 2(200²) - 1100(0) + 2(0^²))

(220000-80000) - 0 + 0

140000 ft/pd

Answer:

25332

Step-by-step explanation:

:)

Answer:

1+1+1+1+16754+113+666+222+6473+1100+23456789=23,482,121

Answer:

Ximena can use 1 gigabytes of data

Step-by-step explanation:

The first thing you want to do is subtract

51.10 - 44.50 =  5.6

5.6 is the amount of money she will have to spend on data

With each gigabyte costing 4 dollars and only 5 dollars to spend

she can only use one gigabyte

A. Yes, the two expressions in discuss as given in the task content are; equivalent expressions.

B. The two expressions when simplified to the fewest terms is; 5m - 10. Hence, the two expressions are equivalent expressions.

It follows from the task content that the two expressions given are to be compared and determined if they are equivalent expressions.

A. By evaluation; using the Distributive property; we have;

3(m - 2) + 2(m - 2) = 3m - 6 + 2m - 4 = 5m - 10.

Also; 5(m - 2) = 5m - 10.

Therefore, the two expressions are equivalent.

B. Since both expressions given can be written in fewest terms as; 5m - 10, the expressions are equivalent. Hence, the two expressions are said to be equivalent expressions.

Read more on equivalent expressions;

https://brainly.com/question/24734894

#SPJ1

The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

To learn more about Fraction here,

https://brainly.com/question/10354322

Answer:

I THINK 2

Step-by-step explanation:

Answer: (-3, 5) :  Quadrant 2

Answer:

x = -1, y = 2

Step-by-step explanation:

6x + 5y = 4

6x - 7y = -20

We already have a similar leading coefficient (6 for X), so we just subtract equation 1 from equation 2 to get:

12y = 24

Now solve normally:

y = 2

Then substitute into the first equation (or second, it doesn't matter)

6x + 10 = 4

6x = -6

x = -1

Answer:

See explanation

Step-by-step explanation:

A mathematical model refers to a mathematical function that describes natural phenomena.

Models are used to approximate natural phenomena hence they are not really exact representations of reality. Thus mathematical models are inherently imperfect and so is our understanding of natural phenomena represented by these mathematical models.

The mathematical parameters used in models to represent real processes are uncertain since they are determined from experiment or represent more than one process.

Lastly, the initial and the boundary conditions in a model may not be explicitly established.

Answer:

C. 3.33 hours

Step-by-step explanation:

Use the algebra work equation:

\(\frac{1}{tb}\) = \(\frac{1}{t1}\) + \(\frac{1}{t2}\), where tb is the time to work together, t1 is the time it takes one person, and t2 is the time it takes the other person

Plug in the values we know:

\(\frac{1}{tb}\) = \(\frac{1}{5}\) + \(\frac{1}{10}\)

\(\frac{1}{tb}\) = \(\frac{4}{20}\) + \(\frac{2}{20}\)

\(\frac{1}{tb}\) = \(\frac{6}{20}\)

20 = 6tb

3.33 = tb

So, it would take them 3.33 hours when working together.

840 different numbers can be created selecting 4 of the digits from the number

From the question, we have the following parameters that can be used in our computation:

Number =  8712395

Digits = 4

The count of digits in the number is 7

Using the above as a guide, we have the following:

So, we have

Numbers = 7 * 6 * 5 * 4

Evaluate

Numbers = 840

Hence, 840 numbers can be formed

Read more about permutation at

https://brainly.com/question/11732255

#SPJ1

Answer:

we can write

42/7 as 30/7

and

21/5 as 11/5

now

\( \frac{30}{7} \times \frac{11}{5} \\ = \frac{6}{7} \times 11 \\ = \frac{66}{7} \)

we can write 66/7 as 93/7

hence,

option D is correct.

hope this answer helps you dear....take care!

Answer:

step by step answer at least

Answer:

um......I think 2 figure it out....

Step-by-step explanation:

A car has 15 gallons of gas in its tank. The car travels 35 miles per gallon of gas. It uses 1/35 of gas to go 1 mile.

The correct graph of the inequality ( |x| + 3 > 3) is attached accordingly.

Recall that the absolute value (or modulus) of a real number x is its non-negative value regardless of its sign. For example, 5 has an absolute value of 5, and 5 has an absolute value of 5.

A number's absolute value can be conceived of as its distance from zero along the real number line.

So, given  |x| + 3 > 3

Add minus three to both sides

|x| + 3  + (-3) > 3 + (-3)

|x|  > 0

Thus, the absolute value of x is

x > 0 or x < -0

put in the form of inequality, we have

x > 0 or x < 0

Learn more about absolute value;
https://brainly.com/question/20383699
#SPJ1

Answer:

see explanation

Step-by-step explanation:

2

4x² + 64 ← factor out the common factor of 4 from each term

= 4(x² + 16)

3

(a - 10)² = 121 ( take square root of both sides )

a - 10 = ± \(\sqrt{121}\) = ± 11 ( add 10 to both sides )

a = 10 ± 11

then

a = 10 - 11 = - 1

a = 10 + 11 = 21

The expression that represents the sum of the segments is:

AB + DC = 13x - 1

Here we have two segments defined as functions of a variable x, and we can write them as:

AB = 8x - 5

DC = 5x + 4

We want to find an expression that represents AB + DC, we can just replace the two expressions (for each of the segments) in the sum above, then we willget:

AB + DC = 8x - 5 + 5x + 4

Now we can simplify that sum to get:

AB + DC = 8x + 5x - 5 + 4

               = 13x - 1

That is the expression we wanted.

Learn more about segments at:

https://brainly.com/question/17374569

#SPJ1

Answer:

5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since the gravel being dumped is in the shape of a cone, we will use the formula for calculating the volume of a cone.

Volume of a cone V = πr²h/3

If the diameter and the height are equal, then r = h

V = πh²h/3

V = πh³/3

If the gravel is being dumped from a conveyor belt at a rate of 20 ft³/min, then dV/dt = 20ft³/min

Using chain rule to get the expression for dV/dt;

dV/dt = dV/dh * dh/dt

From the formula above, dV/dh = 3πh²/3

dV/dh =  πh²

dV/dt = πh²dh/dt

20 = πh²dh/dt

To calculate how fast the height of the pile is increasing when the pile is 11 ft high, we will substitute h = 11 into the resulting expression and solve for dh/dt.

20 = π(11)²dh/dt

20 = 121πdh/dt

dh/dt = 20/121π

dh/dt = 20/380.133

dh/dt = 0.0526ft/min

This means that the height of the pile is increasing at  0.0526ft/min