Which equation can be used to solve for x in the following diagram?

Answer:

see below

Step-by-step explanation:

90 x, y, z

x pennies =1/2y

y nickels

z quarters = 3 1/2 y

so 1/2y+y+3 1/2 y =90

total 5y =90

y =18

x=9

z = 63

Answer:

Well then good luck with that woophi- I'm kidding, this is what I got! XD

Step-by-step explanation:

6 and 3/4

Hope this helped! :D

B

Step-by-step explanation:

The beetle population, growing linearly, has an explicit formula P(n) = 3 + 10n, and it will take 18 weeks for the population to reach 183.

(a) To find an explicit formula for the beetle population after n weeks, we can use the information given in the problem. Since the growth model is linear, we can assume that the population increases by a constant amount each week.

Let's denote the population after n weeks as P(n). We know that P(0) = 3 (initial population) and P(10) = 103 (population after 10 weeks).

Since the population increases by a constant amount each week, we can find the growth rate (or increase per week) by taking the difference in population between week 10 and week 0, and dividing it by the number of weeks:

Growth rate = (P(10) - P(0)) / 10 = (103 - 3) / 10 = 100 / 10 = 10

Therefore, the explicit formula for the beetle population after n weeks can be written as:

P(n) = P(0) + (growth rate) * n

P(n) = 3 + 10n

(b) To find how many weeks it will take for the beetle population to reach 183, we can set up an equation using the explicit formula and solve for n:

P(n) = 183

3 + 10n = 183

Subtracting 3 from both sides:

10n = 180

Dividing both sides by 10:

n = 18

Therefore, it will take 18 weeks for the beetle population to reach 183.

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Answer:

99          pls five me brainiest

Step-by-step explanation:

180-123=57

180-57-42=81

180-81=99

Answer:

9/70

Step-by-step explanation:

X-3/10 for x= 3/7

3/7-3/10

9/70

Answer:

20 people will ride each bus

Step-by-step explanation:

60 people, and 3 buses

you would divide 3 by 60

Thus, the obtained area of sector for the given circle is found as 43.96 in².

Two radii that meet at the centre to form a sector define a circle. The sector is the portion of the circle created by these two radii. Knowing a circle's central angle assessment and radius measurement are both crucial for solving circle-related difficulties.

The curved portion that runs along the circle's perimeter and joins the ends of a two radii that make up a sector is known as the sector arc.

given data:

Formula for the area of sector:

area of sector = Ф /360 * (πr²)

area of sector = 140/360 * (3.14 *6²)

area of sector = 7/18 * 3.14 *36

area of sector = 43.96 in²

Thus, the obtained area of sector for the given circle is found as 43.96 in².

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\(6k^{2}\) as a product of Prime Factors we can write as \(2^{3} * 3^{5} * p^{6}\).

A number can be expressed as the product of its prime components through the process of prime factorization. A number with precisely two elements, 1 and the number itself, is said to be a prime number. As an illustration, let's use the number 30. Even though we are aware that 30 = 5 6 is not a prime number, The factorization of the integer 6 may also be expressed as 2 + 3, where 2 and 3 are prime numbers. As a result, the prime factorization of 30 is 2* 3 *5 with prime integers as each of the elements.

Prime factorization is the technique of expressing a number as the product of prime numbers. The only two components in prime numbers are the number itself and the number itself. Prime numbers include, for instance, 2, 3, 5, 7, 11, 13, 17, 19, and so forth. Any integer may be represented as a sum of prime numbers using prime factorization.

Let the equation be,

\(k = 2 * 3^{2} * p^{3}\)

Therefore ,

\(6k^{2} = 2 * 3 * k^{2}\)

\(k^{2} =(2 * 3^{2} * p^{3})^{2} = 2^{2} * 3^{4} * p^{6}\)

Therefore , simplifing the equation we get,  

\(6k^{2} = 2 * 3 * k^{2} = 2 * 3 *2^{2} * 3^{4} * p^{6} = 2^{3} * 3^{5} * p^{6}\)

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Answer:

f(1) = - 5, f(5) = 6

Step-by-step explanation:

(a)

f(1) with x = 1 is in the interval x ≤ 1 , thus

f(1) = - 5

(b)

f(5) with x = 5 is in the interval x > 1 , thus f(x) = 2x - 4 , so

f(5) = 2(5) - 4 = 10 - 4 = 6

Answer:

27.5

Step-by-step explanation:

Answer:

The answer is 187.5 inches

Step-by-step explanation:

If you do 15 x 12.5 you get 187.5

Answer:

They end up on the same vertical line. The length between them is 11 units if your looking on a graph.

Step-by-step explanation:

You can also answer this without a graph by looking at the x and y units for each pair. Since both points both have x as 0 you can know they will be on the same vertical line which for this question is zero. Then to find the length between each point just count up from -2. -2, -1, 0, 1 etc. That's the easiest way for my brain to comprehend it at least.

This is because the slope of the given line is 3/8 and the slope of the line perpendicular to it will be -8/3.

Given that a line 3x - 8y = 24 and it intersects the line at x = 48.

We need to find the equation for the linear function g(x) which is perpendicular to the given line.

The equation of the given line is 3x - 8y = 24.

Solve for y3x - 8y = 24-8y

= -3x + 24y

= 3/8 x - 3

So, the slope of the given line is 3/8 and the slope of the line perpendicular to it will be -8/3.

Let the equation for the linear function g(x) be y = mx + c, where m is the slope and c is the y-intercept of the line.

Then, the equation for the linear function g(x) which is perpendicular to the line is given by y = -8/3 x + c.

We know that the line g(x) intersects the line 3x - 8y = 24 at x = 48.

Substitute x = 48 in the equation 3x - 8y = 24 and solve for y.

3(48) - 8y

= 248y

= 96y

= 12

Thus, the point of intersection is (48, 12).

Since this point lies on the line g(x), substitute x = 48 and y = 12 in the equation of line g(x) to find the value of c.

12 = -8/3 (48) + c12

= -128/3 + cc

= 4/3

Therefore, the equation for the linear function g(x) which is perpendicular to the line 3x - 8y = 24 and intersects the line 3x - 8y = 24 at x = 48 is:

y = -8/3 x + 4/3

Equation for the linear function g(x) which is perpendicular to the line 3x-8y=24 and intersects the line 3x-8y=24 at x=48 is given by y = -8/3 x + 4/3.

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Employee A harvested 12 pounds of food, Employee B harvested 8 pounds, Employee C harvested 12 pounds, and Employee D harvested 16 pounds.

We'll calculate the pounds of food harvested by each employee using the ratio of their hours to the total hours worked, multiplied by the total amount of food harvested.

Employee A: 6 hours

Employee B: 4 hours

Employee C: 6 hours

Employee D: 8 hours

Total hours worked: 6 + 4 + 6 + 8 = 24 hours

Total pounds of food harvested: 48 pounds

Now we can calculate the pounds of food harvested by each employee:

Employee A: (6/24) * 48 = 12 pounds

Employee B: (4/24) * 48 = 8 pounds

Employee C: (6/24) * 48 = 12 pounds

Employee D: (8/24) * 48 = 16 pounds

Filling in the table:

Employee Hours Worked Pounds of Food Harvested

A 6 12

B 4 8

C 6 12

D 8 16

So, based on the proportion of hours worked, Employee A harvested 12 pounds of food, Employee B harvested 8 pounds, Employee C harvested 12 pounds, and Employee D harvested 16 pounds.

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Question

At a farm, four employees harvest 48 pounds of food over a certain numbers of hours. Each employee works the numbered of hours shown. Employee A: 6 hours employee B: 4 hours employee C: 6 hours employee D: 8 hours The number of pounds of food harvested by each employee is proportional to the number of hours worked. Fill in the table with the amount of food, in pounds, each employee harvested.

Since the provided equation is inconsistent, it cannot intersect.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

we can see that the second set of equation,

4x+2y=12

20x+10y=30

4/20=2/10≠12/30

1/5=1/5≠2/5

The given equation is inconsistent so it does not intersect.

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Answer:

Step-by-step explanation:

42cm=420mm       That's times 10

.837kg=837g         That's times 1000

89milliliter=.089liters       That's divided by 1000

.72meters=.00072     That's divided by 1000

267cm=.0027 kilometers     divided by 100,000

The method and additional information would prove ΔONP and ΔMNL similar by the AA similarity postulate is A. Use a rigid transformation to prove ∠NOP ≅ ∠NML.

The AA Similarity Postulate states that two angles in one triangle must be congruent with two angles in another triangle for the two triangles to be comparable. The AA Similarity Postulate is a shortcut for demonstrating the similarity of two triangles.

In this case, B is incorrect because angles NOP and ONP are not corresponding angles

Also, options (c) and (d) are incorrect, because they prove the similarities by lines segments.

In conclusion, the correct option is A.

The complete question is written below.

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Complete question

Which method and additional information would prove ΔONP and ΔMNL similar by the AA similarity postulate?

A. Use a rigid transformation to prove ∠NOP ≅ ∠NML.

B. Use a rigid transformation to prove ∠NOP ≅ ∠ONP.

C. Use rigid and nonrigid transformations to prove segment LN over segment ON = segment PN over segment MN.

D. Use rigid and nonrigid transformations to prove segment LM over segment ON = segment PN over segment MN

For the moving platform shaped in parallelogram, the correct number in each box is

The result is obtained by using the properties of angles in parallelogram.

The properties of angles in parallelogram are:

There are 2 pairs of sides of parallelogram. A pair of sides are parallel to each other and have the same length.

In the picture, we have

Find x, m∠A, AB, and BC!

m∠D and m∠C are consecutive angles. So,

35° + (4x + 5) = 180°

35° + (4x + 5)° = 180°

40° + 4x = 180°

4x = 180° - 40°

4x = 140°

x = 140°/4

x = 35°

m∠A and m∠C are the opposite angles. So, they are equal.

m∠A = m∠C

m∠A = (4x + 5)°

m∠A = (4(35) + 5)°

m∠A = 145°

AB is parallel to DC. So,

AB = DC = 32 ft

BC is parallel to AD. So,

BC = AD = 14 ft

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Answer:

No

Step-by-step explanation:

g(x,y)=c (circle)

(0,5) is a point on the circle iff (if and only if) (0,5) is a solution of g(x,y)=c

In other words, g(0,5) must be equal to 1

LHS:

g(0,5)=(0+1)²+(5-4)²

= 1+1

= 2 ≠ 1

To find:

The method of drwaing the graph of given inequality.

Solution:

Given inequality: -3m +18 < 30.

Solve the inequality:

To draw the graph, draw a dotted line on -4. Since, the solution set contains all numbers greater than -4,so, shade the portion that lies to right side of -4.

Answer:

4 because 23+53=76. thats one shot. Now keep adding 23 and youll get 3 more till u get to 145. So four shots

Step-by-step explanation:

The final charge of the spheres when they are touching after calculated using Coulomb's law , is 1.24 * 10^-6 C

According to the given information, two charged spheres with charges |q1| > |q2| attract each other with a force of magnitude 90.4 mn when separated by a distance of 4.64 m. When the spheres are brought together until they are touching, they attain the same final charge q.

We can use Coulomb's law to find the final charge q. Coulomb's law states that the force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. Mathematically, Coulomb's law is expressed as:

F = k * (q1 * q2) / r^2

Where F is the force between the charged particles, k is Coulomb's constant (8.99 * 10^9 N*m^2/C^2), q1 and q2 are the charges of the particles, and r is the distance between them.

We can rearrange the equation to solve for q:

q = sqrt(F * r^2 / k)

Plugging in the given values:

q = sqrt(90.4 * 10^-6 N * (4.64 m)^2 / (8.99 * 10^9 N*m^2/C^2))

q = 1.24 * 10^-6 C

Therefore, the final charge of the spheres when they are touching is 1.24 * 10^-6 C

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Answer:

2x +3x =7-13=4+8

Step-by-step explanation:

5x= -6= 12

The Empirical Rule states that around 95% of the data in a normal distribution falls within two standard deviations of the mean. The mean ACT Math score in this case is 21, the standard deviation is 3, and the range is 15 to 27.

To determine the interval within which about 95% of the students' scores fall, we can use the Empirical Rule. Since two standard deviations encompass about 95% of the data, we multiply the standard deviation by 2 and add/subtract the result from the mean.

For the ACT Math scores:

Mean - 2 * Standard Deviation = 21 - (2 * 3) = 21 - 6 = 15

Mean + 2 * Standard Deviation = 21 + (2 * 3) = 21 + 6 = 27

Therefore, approximately 95% of the students' ACT Math scores would fall within the interval of 15 to 27.

This means that most of the students' scores are expected to be within this range, with fewer scores falling outside of it. It provides a general understanding of the distribution of scores and helps us identify the central range within which a large majority of the students' scores lie.

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Answer:

x=4.321928

Here’s your explanation

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

2^x=20

Solve Exponent.

2^x=20

log(2^x)=log(20) (Take log of both sides)

x*(log(2))=log(20)
x=log(20)

log(2)

Then you get your answer x=4.321928

Step-by-step explanation:

Take the log of both sides:

log2(2^x) = log2(20)

xlog2(2) = log2(20)

x(1) = log2(20)

x = log2(20) ≈ 4.322

Answer:

The missing base measure of the enlarged trapezoid is 4cm.

Step-by-step explanation:

Step 1:

2 / 3.25 = x / 6.5

Step 2:

Cross product

2 * 6.5 = 3.25 * x

Step 3:

Simplify

13 = 3.25x

Step 4:

Divide both sides by 3.25

13 / 3.25 = 3.25x / 3.25

4 = x

x = 4

The missing base measure of the enlarged trapezoid is 4cm.

Answer:

its 4cm

Step-by-step explanation:

i got it right

Use statistical software or a calculator that allows for probability calculations. There are various options available such as Excel, SPSS, or online probability calculators.

To calculate the probability using technology, follow these steps:

Gather the values identified in previous steps that are required for the calculation.
Use statistical software or a calculator that allows for probability calculations. There are various options available such as Excel, SPSS, or online probability calculators.

Enter the necessary values into the software or calculator. These values will depend on the specific problem you are working on, such as the number of favourable outcomes and the total number of possible outcomes.

Follow the instructions provided by the software or calculator to compute the probability.

Most tools will have specific functions or formulas to calculate probabilities based on different scenarios (e.g., binomial, normal distribution, etc.).

Round the resulting probability to three decimal places as instructed.

By using technology and the values from previous steps, you can accurately calculate the probability by following these steps.

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