Simplify x÷2+2x ÷3+3x÷4​

Answer:

Step-by-step \(5x-4x =x \\4x^{2} -x^{2}=3x^{2} \\-24+11=-13\\3x^{2} +x-13\)

Answer:

x^5 + 151x -264

Step-by-step explanation:

See the attached page.

Answer:

Student B did the problem corectly

Step-by-step explanation:

Student a did 3*4 while student B did 3*3*3*3 which would equal 27

Answer:

2

Step-by-step explanation:

Answer:

466,207,795.2 cm^3

Step-by-step explanation:

The equation to find both, the volume of the sphere and cube, are given.

The sphere:

V = \(\frac{4}{3}\)πr^3

the radius is 7 ft therefore

V =  \(\frac{4}{3}\)π7^3

The problem says to use 3 for pie therefore

V =  \(\frac{4}{3}\)(3)7^3

7 to the power of three is

V = \(\frac{4}{3}\)(3)343

\(\frac{4}{3}\) and 3 cancel each other out to equal 4

V = 4 × 343

V = 1,372 ------> volume of sphere

______________________________________________

The cube:

V = Legth × width × height

V = 12 × 12 × 12

V =  1,728 ------> volume of cube

_______________________________________________

Total volume:

1,372 + 1,728 = 3,100 ft^3

But the question asks for the mesurement in centimeters so convert feet to centimeters using a calculator :)

3,100 ft^3 = 87,782,080 cm^3

Hello!

70% of 40

= 70% x 40

= 70/100 x 40

= 70x40/100

= 2800/100

= 28

the answer is 28 sixth-graders

Answer:

8x units

Step-by-step explanation:

A rectangle has an area of 56x²y units². If the height of the rectangle is 7xy. What is the length of the rectangle.

The Area of a Rectangle is calculated with the formula

Length × Width ( Height)

Area = 56x²y square units

Height = 7xy units

Length =Area of the rectangle/Height of the rectangle

= 56x²y square units/7xy units

= 8x units

Answer:

one solution x = 11/7 hope this can help you!

The data described, the number of televisions in different households, is discrete.

discrete data consists of individual values that can be counted and are distinct from one another. In this case, the number of televisions is a discrete variable because it can only take on whole numbers, such as 0, 1, 2, 3, and so on. You cannot have a fractional or continuous number of televisions. Each household will have a specific count of televisions, and there is no intermediate value between each whole number. Additionally, the number of televisions is distinct for each household, meaning that it can differ from one household to another.

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To maximize his earnings, John should install 5 Secure alarms and 5 Maximum Secure alarms, and then demonstrate 5 Secure alarms and 2 Maximum Secure alarms.

Let's first consider the time constraints. Since John cannot work more than 40 hours per week, we have the following inequality:

1h(install Secure) x + 2.2h(install Maximum Secure) y + 0.25h(demo Secure) x + 0.4h(demo Maximum Secure) y <= 40

where x and y are the number of Secure and Maximum Secure alarms John installs, respectively.

John is required to work a minimum of 20 hours per week as an installer and a maximum of 20 hours as a demonstrator. So we have the following constraints:

1h(install Secure) x + 2.2h(install Maximum Secure) y >= 20 (minimum hours as installer)

0.25h(demo Secure) x + 0.4h(demo Maximum Secure) y <= 20 (maximum hours as demonstrator)

Now, we can set up the objective function to maximize John's earnings:

E(x,y) = 3(install Secure) x + 3(install Maximum Secure) y + 2(demo Secure) x + 2(demo Maximum Secure) y

= 5x + 5.6y

Using linear programming techniques, we can solve for the optimal values of x and y that maximize the objective function and satisfy the constraints. The optimal values turn out to be x=5 and y=5 for installing alarms, and x=5 and y=2 for demonstrating alarms. Therefore, John should install 5 Secure alarms and 5 Maximum Secure alarms, and then demonstrate 5 Secure alarms and 2 Maximum Secure alarms, to maximize his earnings.

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A higher percentage of people who did not wear wrist guards (41.67%) experienced wrist injuries compared to those who did wear wrist guards (11.32%).

Based on the information provided, we can analyze the data on injuries to in-line skaters. Let's break down the given numbers:

Total number of people interviewed: 161

Number of people wearing wrist guards: 53

Number of people wearing wrist guards with wrist injuries: 6

Number of people not wearing wrist guards: 108

Number of people not wearing wrist guards with wrist injuries: 45

From this information, we can calculate the following:

Percentage of people wearing wrist guards with wrist injuries:

(Number of people wearing wrist guards with wrist injuries / Number of people wearing wrist guards) × 100

= (6 / 53)× 100 ≈ 11.32%

Percentage of people not wearing wrist guards with wrist injuries:

(Number of people not wearing wrist guards with wrist injuries / Number of people not wearing wrist guards)×100

= (45 / 108) ×100 ≈ 41.67%

These calculations provide insights into the likelihood of wrist injuries in relation to wearing wrist guards while inline skating. The data suggests that the percentage of wrist injuries among those wearing wrist guards is lower (11.32%) compared to those not wearing wrist guards (41.67%). This indicates that wearing wrist guards may offer some protection against wrist injuries while inline skating.

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Answer:

To estimate the number of boxes Ahmal will need, we can divide the total number of cars by the number of cars that fit in each box.

Dividing 538 by 27 gives:

538 ÷ 27 = 19.93 (rounded to two decimal places)

This means that Ahmal will need approximately 19.93 boxes to store his miniature car collection. Since he can't buy a fraction of a box, he will need to round up to the nearest whole number.

Therefore, Ahmal will need 20 boxes to store his miniature car collection.

Answer: x is for bouquets and y is for centerpieces.

Step-by-step explanation:

13x+4y=487

6x+2y=232

Answer:

square:48

triangle:16

circle:6.28

Step-by-step explanation:

square: b x h = base * height

triangle: 1/2 x bh = 1/2 x base x height

circle: 3.14 x r square = 3.14 x 4 x 1/2

4 because is radius square = 2 x 2 = 4

all values of x that satisfy the inequality f(x)>0 are x < 2 or x > 6.we can solve this by using parabola equation

what is parabola ?

A parabola is a type of conic section, which is a curve that is formed by the intersection of a plane and a cone. In particular, a parabola is the set of all points in a plane that are equidistant to a fixed point (called the focus) and a fixed line

In the given question,

Since the vertex of the parabola is (4,-8), the equation of the parabola can be written in vertex form as:

f(x) = a(x-4)² - 8

where 'a' is a constant that determines the shape and orientation of the parabola.

To find the value of 'a', we can use one of the given points on the x-axis, say (2,0). Substituting x=2 and y=0 in the equation of the parabola, we get:

0 = a(2-4)² - 8

8 = 4a

a = 2

So, the equation of the parabola is:

f(x) = 2(x-4)² - 8

To find all values of x for which f(x)>0, we need to solve the inequality:

2(x-4)² - 8 > 0

Adding 8 to both sides, we get:

2(x-4)² > 8

Dividing both sides by 2, we get:

(x-4)² > 4

Taking the square root of both sides, we get:

x-4 > 2 or x-4 < -2

Simplifying, we get:

x > 6 or x < 2

Therefore, all values of x that satisfy the inequality f(x)>0 are x < 2 or x > 6.

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Answer:

There are 2 stars

Step-by-step explanation:

There are 29 items in total.

As we are given the number of two of the items(nutcrackers and snowmen)we can easily find the number of the last item(stars) by subtracting the number of nutcrackers and snowman by the number of total items.(29)

So the solution would be :

29 - (13 + 14) = number of stars

==> add 13 and 14

29 - 27 = number of stars

==> simplify

2 = number of stars

The ball will need to travel 126 feet since it will be dropped from a height of 6 feet and then bounce 10/11 feet.

A number is split in division, which is a straightforward procedure. The simplest way to conceptualize it is as a set of things being distributed among a set of individuals, as in the example given above. In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.

Here,

2*{6/(1-10/11)}-6

2*(6/1/11)-6

2*6*11-6

required distance=126 feet

The required distance will be 126 feet as the ball is dropped from 6 feet and rebounds 10/11 of the distance.

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In such populations, the mean of persons carrying the genetic mutation is 90.

The proportion of the population that is genetically altered is 9%.

9 ÷ 100 = 0.09

1000 persons were chosen at random.

The number of persons who must be obtained is 1000.

According to the question, around 9% of the general population is affected by a genetic mutation. So, if a random sample of 1000 persons is taken, about% of those 1000 will have that mutation.

As a consequence, the mean for all of these randomly chosen groups is 0.09 × 1000=90.

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Answer:

hello!

Step-by-step explanation:

i had a nice day i hope you did too :)

A manufacturer of compact fluorescent light bulbs advertises have a standard deviation of 1,000 hours so the values are:

A normal distribution with,

μ = 9000

σ = 1000

a) The standardized score is the value x decreased by the mean and then divided by the standard deviation.

x = 105000 - 9000 / 1000 ≈ 1.50

Determine the corresponding probability using the normal probability table in appendix,

P(X>10500) = P(Z>1.50) = 1 - P(Z<1.50)

= 1 - 0.9332 = 0.0668.

b) n = 15

The sampling distribution of the mean weight is approximately normal, because the population distribution is approximately normal.

The sampling distribution of the sample mean has mean μ and standard deviation σ/√n

μ = 1000/√15 = 258.19

c) The sampling distribution of the sample mean has mean μ and standard deviation σ/√n

The z-value is the sample mean decreased by the population mean, divided by the standard deviation:

z = x-u/σ/√n = 10500-9000/1000√15 = 5.81

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Answer:

y=-5x+16

Explanation:

We already know the slope, and in y=mx+b, m is the slope. So now we have y=-5x+b.

Next, since we do not know the y-intercept, we can substitute the y and x values we are given in the current equation we have, y=-5+b. Now we have 6=-5(2)+b.

Now we can solve for b.

6=-10+b

16=b. We know that b=16.

Therefore, the equation is y=-5x+16

Answer:

because we want to learn with there meaning. so first we want to study about what that picture is tell about and what is the shape, why it is use. so only they uses the properties. we not magup the maths. we want learn and write.

Step-by-step explanation:

please mark me as a brainlist..

The probability of event A and event B is 6.

Given that, P(A)=6, P(B)=20 and P(A∩B)=6.

P(A/B) Formula is given as, P(A/B) = P(A∩B) / P(B), where, P(A) is probability of event A happening, P(B) is the probability of event B.

P(A/B) = P(A∩B) / P(B) = 6/20 = 3/10

We know that, P(A and B)=P(A/B)×P(B)

= 3/10 × 20

= 3×2

= 6

Therefore, the probability of event A and event B is 6.

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The vertexes of the original triangle are the points (-2,4), (-4,-2) and (-5,3). After the transformation the new vertexes will be:

Then, the new triangle is:

Answer:

x = 5.87 cm

Step-by-step explanation:

The triangle shown is a right triangle with congruent legs.

That makes it a 45-45-90 triangle.

The ratio of the lengths of the sides of a 45-45-90 triangle is

1 : 1 : √2

The length of either leg is hypotenuse/√2.

8.3 cm / √2 = 5.87 cm

Answer: x = 5.87 cm

Answer:

The measure of angle S is 60°

Step-by-step explanation:

This is an equilateral triangle, which means that all sides and all angles are equal. Hence, in order for all the angles to equal 180°, they each have to equal 60°

Answer:

let x =the original price

then 116x/100=$39.32

116x=100×39.32

116x=3932

divide both sides by 116

116x/116=3932/116

x=33.89655

(2dp)

x=33.90

The newly hired engineer may rely on the fact that her work week will be shorter than the average work week of 60 hours.

We have enough evidence to infer that the mean work week for engineers is less than 60 hours.

a) Null hypothesis: The mean workweek for engineers is equal to 60 hours.

Alternative hypothesis:

The mean workweek for engineers is less than 60 hours.

b) Null hypothesis: µ = 60.

Alternative hypothesis: µ < 60.

c) Since we're comparing a sample mean to a population mean, we'll use the one-sample t-test.

d) Type I error: Rejecting the null hypothesis when it is true.

Type II error: Failing to reject the null hypothesis when it is false.

e) The test statistic is calculated to be -2.355.

The p-value associated with this test statistic is 0.0189.

Since the p-value is less than 0.05, we reject the null hypothesis.

We have enough evidence to infer that the mean workweek for engineers is less than 60 hours.

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Studies suggest that when given "negative-feedback" by teachers, girls attribute their failure to lack-of-ability, while boys attribute their failure to fussy-grading or lack-of-effort, Option (e) is correct.

This difference in attribution can be attributed to gender-based societal expectations and stereotypes. Girls, often facing societal pressure and stereotypes related to their intelligence and abilities, may internalize negative-feedback and attribute their failures to a lack of inherent ability.

The Boys may feel less societal pressure related to their abilities and may be more likely to attribute failures to external factors such as grading standards or lack of effort. It is important to recognize these gender differences in attribution to promote equitable and unbiased feedback and support for all students, regardless of their gender.

Therefore, the correct option is (e).

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The given question is incomplete, the complete question is

Studies suggest that when given negative feedback by teachers, girls tend to attribute their failure to ___, whereas boys attribute their failure to ___.

(a) lack of effort; fussy grading

(b) lack of effort; lack of ability

(c) fussy grading; lack of effort

(d) fussy grading; lack of ability

(e) lack of ability; fussy grading or lack of effort.