4x + 2(x – 3) = 4x + 2x – 11Part A: Solve the equation and write the number of solutions. Show all the steps. Part B: Name one property you used to solve this equation.

Answer:

40 slices

Step-by-step explanation:

I rounded 38 to 40 and divided by 8

Answer:

Option D- 11

Step-by-step explanation:

Replace x with 2 and you will get

f(2)=3(2)+5

f(2)=6+5

f(2)=11--> Option D

Hope this helps you.

Answer:

6 + 40 *3 = 126

Step-by-step explanation:

first is 6 and you add 3 in every step

Answer:

126 smileys

Step-by-step explanation:

\(a_{1} =\) First term

    = 6

\(d =\) Common difference

  = 3

\(n =\) \(n^{th} term\)

  = Step number

Arithmetic sequence will be applied:

\(a_{n} = a_{1} + (n - 1)d\)

For n = 2:

\(a_{2} = 6 + (2 - 1)(3)\)

    \(= 6 + (1)(3)\)

    \(= 9\)

For n = 3:

\(a_{3} = 6 + (3-1)(3)\)

    \(= 6 + (2)(3)\)

    \(= 6 + 6\)

    \(= 12\)

∴For n = 41:

\(a_{41} = 6 + (41 - 1)(3)\)

     \(= 6 + (40)(3)\)

     \(= 6 + 120\)

     \(= 126\)

∴There will be 126 smiley faces in Step 41

The work done to stretch an elastic string by 40cm is 20 Joules

Hooke law states that the force (F) applied to a spring is directly proportional to the extension (e).

F ∝ e

F = ke

k is the constant

Given that a force of 10N produces an extension of 4cm, hence:

F = ke

10 = k(4)

k = 2.5 N/cm

For an extension of 40cm, the work done is:

Work done = (1/2)ke²

Work done = (1/2)(2.5 N/cm)(40 cm)² = 2000Ncm = 20 Nm

Work done = 20 Joules

The work done to stretch an elastic string by 40cm is 20 Joules

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Answer:

Step-by-step explanation:

5 x (23-18) x (8-4)=100

5 x (23-18) x (8-4)=100 is the Order of Operations which make it true

A number system is defined as a system of writing to express numbers.

We have to find the operations which make the value to be true.

The given numbers are 5, 23, 18, 8, and 4.

Let us use the operation addition, subtraction and addition.

Use the subtraction between twenty three and eight.

Use subtraction between eight and four.

5 x (23-18) x (8-4)=100

Hence, 5 x (23-18) x (8-4)=100 is the Order of Operations which make it true

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Answer:

34/7

Step-by-step explanation:

Answer:

it is D

Step-by-step explanation:

I have to show you, but if I do it don't on the paper

Write both complex numbers in polar form: (exp(x) is the same as e ˣ)

z = 16 (cos(47°) + i sin(47°)) = 16 exp(i 47°)

w = 4 (cos(12°) + i sin(12°)) = 4 exp(i 12°)

→   zw = 64 exp(i (47° + 12°)) = 64 exp(i 59°)

→   zw = 64 (cos(59°) + i sin(59°))

Answer:i think its 0.238095

Step-by-step explanation:

i could be wrong

Answer:

7/3

Step-by-step explanation:

pls mark me brainliest :)

Answer:

7/8

Step-by-step explanation:

Divide both the numerator and denominator by the GCD

35 ÷ 5

40 ÷ 5

Irene has 49 Books, and Alejandro has 24 books.

Let's assume that Irene has x books, and Alejandro has y books. According to the given information, we can form the following equations:

1. Irene has twice as many books as Alejandro plus 1:

  x = 2y + 1

2. The total number of books between Irene and Alejandro is 73:

  x + y = 73

We can now solve this system of equations to find the values of x and y.

Substituting the value of x from equation (1) into equation (2), we have:

(2y + 1) + y = 73

3y + 1 = 73

3y = 72

y = 24

Now, we can substitute the value of y into equation (1) to find x:

x = 2(24) + 1

x = 49

Therefore, Irene has 49 books, and Alejandro has 24 books.

To verify our solution, we can check if the sum of their books equals 73:

49 + 24 = 7

So, our solution is correct.

In conclusion, Irene has 49 books, and Alejandro has 24 books.

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The original price of the refrigerator was $400.

The statement "Julio bought a refrigerator on sale for $200 was one-half of the original price" can be translated into an algebraic equation as follows:

1/2x = 200

x represents the original price of the refrigerator.

This equation states that half of the original price is equal to $200 is the sale price that Julio paid.

To solve for x, we can multiply both sides of the equation by 2 gives us:

x = 2 × 200

x = 400

We can check this answer by verifying that half of $400 is indeed equal to $200 was the sale price that Julio paid.

We translated the verbal statement into an algebraic equation and solved for the unknown variable to find that the original price of the refrigerator was $400.

The phrase "Julio bought a refrigerator on sale for $200 was one-half of the original price" may be transformed into the following algebraic equation:

The initial cost of the refrigerator is 1/2x = 200x.

According to this calculation, Julio paid $200 for the item, which is equal to half of the original price.

By multiplying both sides of the equation by 2, we may find the value of x as follows:

x = 2 × 200 x

= 400

By confirming that half of $400 is actually equal to $200, which was the sale price paid by Julio, we can confirm this response.

The spoken statement was converted into an algebraic equation and the unknown variable was solved for in order to determine that the refrigerator's initial cost was $400.

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Answer:

True

Step-by-step explanation:

Answer: True

Step-by-step explanation:

Because its a 50/50 and

Answer:

Answer and Explanation:

We have:

Population mean,

μ

=

3

,

000

hours

Population standard deviation,

σ

=

696

hours

Sample size,

n

=

36

1) The standard deviation of the sampling distribution:

σ

¯

x

=

σ

√

n

=

696

√

36

=

116

2) As per the central limit theorem, the expected value of the sampling distribution is equal to the population mean.

Therefore:

The expected value of the sampling distribution is equal to the population mean,

μ

¯

x

=

μ

=

3

,

000

The standard deviation of the sampling distribution,

σ

¯

x

=

116

The shape of the sampling distribution of

¯

x

is approximately normal. As the sample size is more than

30

.

3) The probability that the average life in the sample will be between

2670.56

and

2809.76

hours:

P

(

2670.56

<

x

<

2809.76

)

=

P

(

2670.56

−

3000

116

<

z

<

2809.76

−

3000

116

)

=

P

(

−

2.84

<

z

<

−

1.64

)

=

P

(

z

<

−

1.64

)

−

P

(

z

<

−

2.84

)

=

0.0482

Using Excel: =NORMSDIST(-1.64)-NORMSDIST(-2.84)

4) The probability that the average life in the sample will be greater than

3219.24

hours:

P

(

x

>

3219.24

)

=

P

(

z

>

3219.24

−

3000

116

)

=

P

(

z

>

1.89

)

=

0.0294

Using Excel: =NORMSDIST(-1.89)

5) The probability that the average life in the sample will be less than

3180.96

hours:

P

(

x

<

3180.96

)

=

P

(

z

<

3180.96

−

3000

116

)

=

P

(

z

<

1.56

)

=

0.9406

The expected value, standard deviation, and shape of the sampling distribution of will be 116.

Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given that;

The average lifetime of a light bulb is 3,000 hours with a standard deviation of 696 hours.

And, A simple random sample of 36 bulbs is taken.

Now,

Since, The average lifetime of a light bulb is 3,000 hours with a standard deviation of 696 hours.

And, A simple random sample of 36 bulbs is taken.

Hence, The expected value, standard deviation, and shape of the sampling distribution of is,

⇒ Standard error = 696 / √ 36

                            = 696 / 6

                            = 116

Thus, The expected value, standard deviation, and shape of the sampling distribution of = 116.

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To determine if the point (6,0) is a solution of the given equation you have to replace the equation with the x-coordinate of the point and calculate its corresponding y-value

Replace it with x=6

For the given equation when x=6, y=-26 so the point (6,0) is not a solution of the said equation.

Answer:

45 > 51

Step-by-step explanation:

Answer:

dividing by 1000

Step-by-step explanation:

Answer:

When the function is to be reflected over the x and y-axis, we write it as a reflection of a function over x = y, so it is divided into two parts or two cases y = x and y = − x. When the graph of function is reflected over y = x, then we will swap the coordinates of the x and y-axis with each other while their signs remain the same.

Step-by-step explanation:

Given that,

An expression \(\dfrac{1}{4}-\dfrac{3}{5}\)

To find,

The value of above expression.

Solution,

We have,

\(\dfrac{1}{4}-\dfrac{3}{5}\)

The LCM of 4 and 5 is 20.

\(\dfrac{1}{4}-\dfrac{3}{5}=\dfrac{(5)-4(3)}{20}\\\\=\dfrac{5-12}{20}\\\\=\dfrac{-7}{20}\)

So, the required answer is \(\dfrac{-7}{20}\).

a) The value in four years is 2,207,626

b) The growth rate percent is 102.5 %

c) It would attain the value in 11 years.

We know that a function has to do with a mathematical rule that is used for the establishment of a fact. We have from the question that the function that models the car is; V = 2000000(1.025)^n

Let us recall that n has to do with the number of years.

a) In four years, the value of the car would be;

V = 2000000(1.025)^4

V = 2,207,626

b) The growth rate percent of the function can  be obtained as;

1.025 * 100 = 102.5 %

c) To obtain the year in which the value of the car would reach 2624173.32, we have;

2624173.32 = 2000000(1.025)^n

2624173.32/2000000 = (1.025)^n

1.312 = (1.025)^n

ln1.312 = n ln (1.025)

n = ln1.312 /ln (1.025)

n = 0.272/0.025

n = 11

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The probability she pulls out a purple piece of candy would be 0.22.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is Sam's fathers collection.

We can write the equations for upstream and downstream as -

x - y = 7/2

x + y = 21/10

Solving the equations graphically -

{x} = 2.8

{y} = 0.7
In still water, the speed would be -

S = 3 - 0.7

S = 2.3 Km/h

Distance peddled upstream -

D = 2.8 x 3.5 = 9.8 Km

Therefore, the speed in still water would be 2.3 Km/h and the distance peddled upstream would be 9.8 Km.

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The entrepreneur's revenue is  $2325x, entrepreneur's cost is $33,750 + $1700x and entrepreneur's profit from x sold-out performances is  $625x - $33,750

The entrepreneur's revenue from x sold-out performances is given by the formula:

Revenue = (Price per Performance) x (Number of Performances)

Revenue = $2325 x x

Revenue = $2325x

The entrepreneur's cost from x sold-out performances is given by the formula:

Cost = Overhead + (Production Cost per Performance) x (Number of Performances)

Cost = $33,750 + $1700x

The entrepreneur's profit from x sold-out performances is the revenue minus the cost:

Profit = Revenue - Cost

Profit = $2325x - ($33,750 + $1700x)

Profit = $625x - $33,750

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Computing the total number of counters in the class as 1,108, the mean number of counters that the 46 children have is 24.

The mean refers to the average value.

The average is the quotient of the total value divided by the number of items in the data set.

The number of boys in the class = 26

The number of girls in the class = 20

The total number of boys and girls in the class = 46

The mean number of counters that the boys have = 28

The total number of counters that the boys have = 728 (28 x 26)

The mean number of counters that the girls have =19

The total number of counters that the girls have = 380 (19 x 20)

The total number of counters that the class has = 1,108 (728 + 380)

The average or mean number of counters in the class = 24 (1,108 ÷ 46)

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Elena can make 20/3 cups of purple paint

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

WE are given that Elena makes her favorite shade of purple paint by mixing 3 cups of blue paint, 1 1/2 cups of red paint, and 1/2 cup of white paint.

Since Elena has 2/3 cup of white paint. then;

1 1/2 cups of red paint (1 1/2=1.5)

1/2 cup of white paint (1/2=0.5)

Then the ratio is 3:1.5:0.5

Means every 0.5 cups of white paint Elena makes 5 cups of purple paint (3+1.5+0.5)

Let x the number of cups of purple paint

5/ 0.5 = x / (2/5)

x = 20/3 cups of purple paint

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Answer:

Step-by-step explanation:

The difference is that the oranges have a greater amount then the amount of apples, looking like 5:3
You can find this because;

OOOOO <- Oranges

AAA <- Apples,
5-3=2
there is a difference of two.

Answer:

5000

300

20

8

would be your answer :)

The ham will bounce to a height of 0.16 meters  after the impact.

It is the energy that an object possesses by virtue of its position or configuration, or as a result of its composition. The potential energy of an object can be converted into kinetic energy, which is the energy of motion.

initial potential energy of the ham:

PE = mgh

where m is the mass of the ham, g is the acceleration due to gravity, and h is the initial height from which the ham is dropped. Substituting the given values, we get:

PE = (9.25 lbs)× (1 kg/2.205 lbs) × (9.81 m/s²) × (1.45 m) ≈ 61.8 J

At the moment just before the ham hits the ground, all of this potential energy is converted into kinetic energy:

KE = (1/2)mv²

where v is the velocity of the ham just before impact. Substituting the given values, we get:

KE = (1/2) × (9.25 lbs) × (1 kg/2.205 lbs)×(5.33 m/s)²≈ 87.8 J

After the impact, some of this kinetic energy is lost due to the coefficient of restitution, which is the ratio of the velocity after impact to the velocity just before impact:

e = v'/v

where v' is the velocity after impact. Substituting the given values, we get:

0.35 = v'/5.33

Solving for v', we get:

v' ≈ 1.86 m/s

Now, we can use the conservation of energy to find the maximum height to which the ham bounces. At this point, all of the remaining kinetic energy has been converted back into potential energy:

KE = (1/2)mv'² = mgh'

where h' is the maximum height to which the ham bounces. Substituting the given values, we get:

(1/2) × (9.25 lbs) × (1 kg/2.205 lbs) ×(1.86 m/s)² = (9.81 m/s²) ×h'

Solving for h', we get:

h' ≈ 0.16 m

Therefore, the ham will bounce to a height of approximately 0.16 meters (or 16 centimeters) after the impact.

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Answer:

319,770 different task force groups might possibly be formed

Step-by-step explanation:

The order in which the members of the task force are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this question:

Groups of 8 from a set of 22. So

\(C_{22,8} = \frac{22!}{8!(22-8)!} = 319770\)

319,770 different task force groups might possibly be formed