Nicholas has nickels, dimes and quarters that total $12.30. The number of dimes is 3 more than twice the number of nickels, and the number of quarters is three times the number of nickles. how many coins of each kind does he have?

Answers

Answer 1

Using a system of equations, the amounts of each coin that he has is given as follows:

Nickels: 12.Dimes: 27.Quarters: 36.

System of equations

The variables to the system of equations are given as follows:

Variable x: number of nickels.Variable y: number of dimes.Variable z: number of quarters.

Nicholas has nickels, dimes and quarters that total $12.30, hence, considering the value of each coin:

0.05x + 0.1y + 0.25z = 12.30.

The number of dimes is 3 more than twice the number of nickels, hence:

y = 2x + 3.

The number of quarters is three times the number of nickles, hence:

z = 3x.

Then we can solve for x as follows:

0.05x + 0.1y + 0.25z = 12.30.

0.05x + 0.1(2x + 3) + 0.25(3x) = 12.30.

x = 12. (nickels)

Then the other amounts are as follows:

y = 2x + 3 = 27(dimes).z = 3x = 36 (quarters).

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1


Related Questions

0.35x – 4.8 < 5.2 – 0.9x

Answers

The solution to the given linear inequality expression is equivalent to x < 8

Inequality expressions

Inequality expressions are expressions that are not separated by an equal sign. They are separated by the signs <, >, ≤ and ≥.

Given the inequality below:

0.35x – 4.8 < 5.2 – 0.9x

Collect the like terms;

0.35x + 0.9x  < 5.2 + 4.8

Simplify the result to have:

(0.35+0.9)x < 10.0

1.25x < 10.0

Divide both sides by 1.25

1.25x/1.25 < 10.0/1.25

x <8

This gives the solution to the linear inequality shown.

Learn more on inequality here: https://brainly.com/question/24372553

#SPJ1

Roger ran 13.2 miles in 1.6 hours. Ana ran 10.85 miles in 1.4 hours. In miles per hour, how much faster was Roger's average speed than Ana's?​

Answers

Roger has a faster speed at 8.25 miles per hour compared to Ana who ran with a speed of 7.75 mph.

What is Average speed?

The average speed is the total distance traveled by any object in a particular time interval.

Given that;

Distance covered by Roger = 13.2 miles

Time is taken by Roger = 1.6 hours

Distance covered by Ana = 10.85 miles

Time is taken by Ana = 1.4 hours

Now, Calculate the speed of Roger and Ana as;

Speed = Distance / Time

For Roger,

Speed = 13.2/1.6 = 8.25 mph

For Ana,

Speed = 10.85/1.4= 7.75 mph

Hence, Roger has a faster speed at 8.25 miles per hour compared to Ana who ran with a speed of 7.75 mph.

The population of a city decreases by 1.7% per year. If this year's population is 366,000, what will next year's population be, to the nearest individual?

Answers

The population of the city next year, after decreasing, will be 359,778

Here, we are given that the population of a city decreases by 1.7 percent per year.

This, means that the city's population will decrease by 1.7% in 1 year, (1.7 × 1.7)% in 2 years and so on.

The population of the city this year is given to be 366,000.

Thus, next year, the population will decrease by-

1.7% of 366,000

= 1.7/100 × 366,000

= 17/10 × 3,660

= 17 × 366

= 6,222

Thus, the city's total population next year will be-

366,000 - 6,222

= 3,59,778

Hence, the city's population to the nearest individual comes out to be 359,778.

Learn more about percentages here-

brainly.com/question/843074

#SPJ1

There is 100 students in a class 60 take math 40 take physics 10 take none then how many learn both math and physics

Answers

Answer: None

Step-by-step explanation: Trick question the total is 110 and none took both math and physics


To make bread, 2 teaspoons of yeast are needed for 500 grams of flour. How many teaspoons of yeast are needed for 750 grams of flour?

Answers

Answer:

3 teaspoons.

Step-by-step explanation:

500/2=250 grams per teaspoon

750/250=3

3 teaspoons

please help!! due tmr morning!!

Answers

Answer:

6, -2, and-1

Step-by-step explanation:

f(2) means that x is 2, so looking in the left column find x as 2, and then find the corresponding number beside it.

f(x)=0 so look for 0 in the right column and find the number corresponding to it in the left.

Answer:

#8 is equal to 6

#9 is equal to -2

#10 is equal to -1

Step-by-step explanation:

If you look in the x column for 2 the outcome is 6

If you look in the f(x) column for 0 the income is -2

If you look in the f(x) column for 1.5 the income is -1

The population of a town is increasing by 300 inhabitants each year. If its population at the beginning of 1990 was 27,541, what was its population at the beginning of 1995?

Answers

Answer:

29041

Step-by-step explanation:

1995-1990

300×5=1500

27541+1500=29041

Find the value of f(4) for the function.
f(a) = 7(a + 2)-5
f(4) = (Simplify your answer.)

Answers

Answer:

f= 37 / 4

Step-by-step explanation:

I am using ( / ) to show a fraction

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

f(4)=7(4+2)−5

Step 1: Simplify both sides of the equation.

f(4)=7(4+2)−5

4f=42+−5

4f=(42+−5)(Combine Like Terms)

4f=37

4f=37

Step 2: Divide both sides by 4.

4f / 4 = 37 / 4

f= 37 / 4

Answer:

f= 37 / 4

Hope this helps! :)

The algebraic expression of 9+11g

Answers

The mathematical statement of the expression 9 + 11g is the sum of 9 and 11g

What are expressions?

Expressions are mathematical statements that are represented by variables, coefficients and operators

How to determine the expression?

The algebraic expression is given as

9 + 11g

The above mathematical representation is an algebraic expression that is already in its most simplified form

This means that the algebraic expression cannot be further simplified

However, the algebraic expression can be rewritten as a mathematical statement

Recall that, we have

9 + 11g

The pronunciation of the above expression is:

9 plus 11g

In expressions, plus represents sum

So, we have

9 + 11g can be represented as the sum of 9 and 11g

Hence, the representation of the algebraic expression given as 9 + 11g is the sum of 9 and 11g

Read more about expression at

brainly.com/question/4344214

#SPJ1

how does the speed at which you drive affect your fuel economy? to find out, researchers drove a compact car for 200 miles at speeds ranging from 35 to 75 miles per hour. from their data, they created the model fuel efficiency

Answers

Using linear function concepts, the interpretation of the slope of the model is:

The slope indicates that the Fuel Efficiency decreases by an amount of 0.15 mpg for every 1 mile per hour increase of speed.

What is a linear function?

A linear function, in slope-intercept format, is modeled according to the following rule:

y = mx + b

In which:

m is the slope of the function, which is the rate of change of the function.b is the y-intercept of the function, which is the initial value of the function.

For this problem, the model is given as follows:

Fuel Efficiency = 32 - 0.15Speed.

The slope is of m = -0.15, meaning that for each mph that the average velocity increases, the fuel efficiency decays by 0.15 mpg.

What is the missing information?

The model is missing, and is given as follows:

Fuel Efficiency = 32 - 0.15Speed.

The units are as follows:

Fuel Efficiency: mpg.Speed: mph.

It asks for the interpretation of the slope.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

The zeros of a quadratic function are 1 and 4. How would you use this information to write the equation for the function? If the equation cannot be written, explain why. Use complete sentences in your answer.

Answers

Answer:

The quadratic function is x²-5x+4=0

Step-by-step explanation:

To find a quadratic equation whose roots are given we use

x²-(sum of roots)x + (product of roots) =0

x²-(4+1)x + (4×1)=0

x²-5x+4=0

let us check if it is correct

x²-5x+4=0

x²-1x-4x+4=0

x(x-1)-4(x-1)=0

(x-4)(x-1)=0

(x-4)=0 and (x-1)=0

x=4 and x=1

please rate as brainliest

A mother dog weighs 75 pounds. One of her puppies weighs
6 pounds. How many times greater is the mother dog's weight
than her puppy's weight?

Answers

Answer: 12.5 pounds

Step-by-step explanation:

How many times greater, 75=6x

divide by 6

Jeweler has 36 inches of silver chain. she needs 4 times that much to make some necklaces and 3 times that amount to make some bracelets. how much silver chain does the jeweler need to make her necklaces and bracelets? the jeweler needs necklaces and bracelets. inches of silver chain to make her

Answers

Jeweler needs 144 inches of silver chain to make the necklaces and 108 inches of silver chain to make the bracelets.

What is defined as multiplication?Multiplication, along with addition, subtraction, and division, is one of the four fundamental arithmetic operations. Multiplication in mathematics refers to the repeated addition of gatherings of equal size.The signs cross (x), asterisk (*), and dot (.) represent multiplication.The commutative property states so when we multiply 2 numbers, the order has no effect on the product.The Associative Property states because if we multiply three or more numbers one after the other, this same order does not matter.

For the given question;

The total length of silver chain jeweler had = 36 inches.

Length of silver chain required to make necklaces = 4 times.

So, multiply 36 with 4 to get the result;

36 x 4 = 144.

Thus, the silver chain required to prepare the necklaces is 144 inches.

For the making of bracelets = 3 times the length of silver chain.

So, multiply 36 with 3 to get the result.

36 x 3 = 104

Thus, the length of silver chain required to prepare bracelets is 104 inches.

To know more about the multiplication, here

https://brainly.com/question/4721701

#SPJ9

solve for x


please huryy

Answers

Answer:

X = 31

Step-by-step explanation:

180 = 2x + 9 + 3x +16

180 = 5x + 25

180 + -25 = 5x

155 = 5x

5x/5 = 0 (Cancel out)

155 /5x = 31

X = 31

Check math by :

2 x 31 = 62 + 9 = 71

3 x 31 = 93 + 16 = 109

109 + 71 = 180

Therefore, X = 31

x = 31

Here we have 2 supplementary angles, meaning they both add up to 180.

Therfore we can derive the equation:

[tex]2x+9+3x+16 = 180[/tex]Next, we group like terms.

[tex]2x+3x+9+16 =180[/tex]

Now, we combine like terms.

[tex]5x+25 = 180[/tex]

Then, we move 25 to the right side.

5x = 155

Finally, we divide both sides by 5.

[tex]x = 31[/tex]

PLEASE HELP ME WITH THIS QUESTION!

Answers

Triangle B is a reflection of triangle A across the axis y=-1

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.

The graph A is the original graph and it is transformed to B. Triangle B is a reflection of triangle A across the axis y=-1

Hence  Triangle B is a reflection of triangle A across the axis y=-1

To learn more on Graphs click:

https://brainly.com/question/17267403

#SPJ1

How many adults and children were at the show

Answers

275 adult and 130 children

-) Written as products of their prime factors, N = 2^px5^qx7^r and 500=2² × 5³.
The highest common factor of N and 500 is 2^2 x 5²
The lowest common multiple of N and 500 is 2^3 x 5³ x7.
Find p, q and r.

Answers

The highest common factor of N and 500 is 2²x5² and The lowest common multiple of N and 500 is [tex]2^{3}[/tex]x[tex]5^{3}[/tex]x7.  p, q and r is p =2 , q =2 , r =1

What is prime factorization ?

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 number can be represented as a sum of prime numbers by "prime factorizing" it.

Given that : Written as product of their prime factors N= [tex]2^{p}[/tex] x[tex]5^{q}[/tex]x[tex]7^{r}[/tex] and 500= 2² x 5³ The highest common factor of N and 500  is 2² x 5³? The lowest common multiple of  N and 500 is  2²x5²x7.

N= [tex]2^{p}[/tex] x[tex]5^{q}[/tex]x[tex]7^{r}[/tex]

500= 2² x 5³

highest common factor of N and 500  is 2²x5²

p ≥ 2

q = 2

r ≥ 0

The lowest common multiple of  N and 500 is  2²x5²x7.

HCF x LCM = N * 500

=> 2²x5²  x 2²x5²x7 =  [tex]2^{p}[/tex] x[tex]5^{q}[/tex]x[tex]7^{r}[/tex]  x 2² x5³

=>  2²x5x7 = [tex]2^{p}[/tex] x[tex]5^{q}[/tex]x[tex]7^{r}[/tex]

p = 2

q = 1  but q = 2 as per HCF

r = 1

There is mistake in data

As LCM should have [tex]5^{3}[/tex] atleast as 500 has 5^2

To learn more about prime factor visit :

brainly.com/question/24182713

#SPJ9

Elijah buys 112worth of stereo equipment from stereo store there is a 2.5 processing fee for using a credit card what is the totalcost of the stereo equipment

Answers

By using percentage, we conclude that the total cost of the stereo equipment is $114.8.

The worth of stereo equipment is $112 and there is a 2.5% processing fee for using a credit card.

Whenever we purchase anything with a credit card we have to pay a processing fee that a Bank charges.

To find the total cost of the stereo equipment, we have to add the worth of the stereo equipment and processing fee for using a credit card.

And to find the processing fee for using a credit card, we have to calculate 2.5% of the worth of the stereo equipment.

So, 2.5/100 x 112 = 2.8

Therefore, the required processing fee for using a credit card is $2.8.

The total cost of the stereo equipment = $112 + $2.8 = $114.8

Learn more about percentage visit:  https://brainly.com/question/14801224

#SPJ4



What is the equation of the line that passes through the point (6, 1) and has a slope
of -5/6

Answers

Answer:

y = -5/6x + c

Step-by-step explanation:

line equation is:

y = mx + c

y = -5/6x + c

sub in values:

1 =-5/6(6) + c

1 = -5 + c

6 = c

equation of line:

y = -5/6x + 6

help me guys please I will give brainliest​

Answers

Answer:

[tex]\textsf{1.} \quad 3x^2-4x+12[/tex]

[tex]\textsf{2.} \quad 3x^2-8x+4[/tex]

[tex]\textsf{3.} \quad 6x^3-8x+32[/tex]

[tex]\textsf{4.} \quad \dfrac{3x^2-6x+8}{2x+4}[/tex]

[tex]\textsf{5.} \quad 12x^2+36x+32[/tex]

Step-by-step explanation:

Given functions:

[tex]\begin{cases}f(x)=3x^2-6x+8\\g(x)=2x+4\end{cases}[/tex]

Function composition is an operation that takes two functions and produces a third function.

Question 1

The composite function (f + g)(x) means to add function f(x) and g(x):

[tex]\begin{aligned}\implies (f+g)(x) & = f(x)+g(x)\\&=(3x^2-6x+8)+(2x+4)\\ &=3x^2-6x+2x+8+4\\ &=3x^2-4x+12\end{aligned}[/tex]

Question 2

The composite function (f - g)(x) means to subtract function g(x) from function f(x):

[tex]\begin{aligned}\implies (f-g)(x) & = f(x)-g(x)\\&=(3x^2-6x+8)-(2x+4)\\&=3x^2-6x+8-2x-4\\ &=3x^2-6x-2x+8-4\\ &=3x^2-8x+4\end{aligned}[/tex]

Question 3

The composite function f(x) · g(x) means to multiply functions f(x) and g(x):

[tex]\begin{aligned}\implies f(x)\cdot g(x) & =(3x^2-6x+8)(2x+4)\\ &=3x^2(2x+4)-6x(2x+4)+8(2x+4)\\&=6x^3+12x^2-12x^2-24x+16x+32\\&=6x^3-8x+32\end{aligned}[/tex]

Question 4

The composite function f(x)/g(x) means to divide function f(x) by function g(x):

[tex]\begin{aligned}\implies \dfrac{f(x)}{g(x)} & = \dfrac{3x^2-6x+8}{2x+4}\\\end{aligned}[/tex]

Question 5

The composite function f(g(x)) means to substitute the function g(x) in place of the x in function f(x):

[tex]\begin{aligned}\implies f(g(x))&=3(g(x))^2-6(g(x))+8\\&=3(2x+4)^2-6(2x+4)+8\\&=3(2x+4)(2x+4)-12x-24+8\\&=3(4x^2+16x+16)-12x-16\\&=12x^2+48x+48-12x-16\\&=12x^2+48x-12x+48-16\\&=12x^2+36x+32\end{aligned}[/tex]

Learn more about composite functions here:

https://brainly.com/question/24538829

7sufifiglhofsufigif7dufig​

Answers

Using a proportional relationship, it is found that:

a) The independent variable is x.

b) The dependent variable is y = 12x.

c) The domain is of 0 ≤ x ≤ 25.

d) The range is of 0 ≤ y ≤ 300.

What is a direct proportional relationship?

A direct proportional relationship is a function in which the output variable is given by the multiplication of the input variable and the constant of proportionality k, as shown below:

y = kx

In which:

x is the independent variable.y is the dependent variable.

For this problem, Jennifer makes $12 an hour, hence the constant is of k = 12 and the equation is:

y = 12x.

She can work between 0 and 25 hours, hence:

The domain is 0 ≤ x ≤ 25, which is the set that contains all possible input values for the function.The range is 0 ≤ y ≤ 300, as 25 x 12 = 300, which is the set that contains all possible output values for the function.

More can be learned about proportional relationships at https://brainly.com/question/10424180

#SPJ1

WILL MARK BRAINLIEST!!
Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.
2
3
4
5

Answers

Answer:

k = 4

Step-by-step explanation:

g(x) higher than by 4 units

Answer:

k = 4

Step-by-step explanation:

'k' represents the vertical translation

Identify the interval(s) on which each quadratic function is positive.

1. y= x^2 + 2x - 8

2. y= -x^2 +4x +12

3. y= 5x^2 - 3x - 8

Help on these three problems above would be greatly appreciated, thanks! ☜(ˆ▿ˆc)

Answers

Answer:

[tex]\textsf{1. \quad $x < -4$ or $x > 2$}[/tex]

[tex]\textsf{2. \quad $-2 < x < 6$}[/tex]

[tex]\textsf{3. \quad $x < -1$ or $x > \dfrac{8}[5}$}[/tex][tex]\textsf{3. \quad $x < -1$ or $x > \dfrac{8}[5}$}[/tex][tex]\textsf{3. \quad $x < -1$ or $x > \dfrac{8}{5}$}[/tex]

Step-by-step explanation:

The intervals on which a quadratic function is positive are those intervals where the function is above the x-axis, i.e. where y > 0.

The zeros of the quadratic function are the points at which the parabola crosses the x-axis.  

If the leading coefficient of a quadratic function is positive, the parabola opens upwards.

If the leading coefficient of a quadratic function is negative, the parabola opens downwards.

Therefore, to find the intervals on which each quadratic function is positive:

Calculate the zeros.Determine if the parabola opens upwards or downwards.If the parabola opens upwards, the intervals are less than the smaller zero and greater than the larger zero.If the parabola opens downwards, the interval is between the zeros.

Question 1

Given function:

[tex]y=x^2+2x-8[/tex]

Factor the given function:

[tex]\implies y= x^2+4x-2x-8[/tex]

[tex]\implies y=x(x+4)-2(x+4)[/tex]

[tex]\implies y=(x-2)(x+4)[/tex]

Substitute y = 0 to find the zeros:

[tex]\implies (x-2)(x+4)=0[/tex]

[tex]\implies x-2=0 \implies x=2[/tex]

[tex]\implies x+4=0 \implies x=-4[/tex]

The leading coefficient is positive, so the parabola opens upwards.  

Therefore, the interval on which the function is positive is:

Solution:  x < -4 or x > 2Interval notation:  (-∞, -4) ∪ (2, ∞)

Question 2

Given function:

[tex]y=-x^2+4x+12[/tex]

Factor the given function:

[tex]\implies y=-(x^2-4x-12)[/tex]

[tex]\implies y=-(x^2-6x+2x-12)[/tex]

[tex]\implies y=-(x(x-6)+2(x-6))[/tex]

[tex]\implies y=-(x+2)(x-6)[/tex]

Substitute y = 0 to find the zeros:

[tex]\implies -(x+2)(x-6)=0[/tex]

[tex]\implies (x+2)(x-6)=0[/tex]

[tex]\implies x+2=0 \implies x=-2[/tex]

[tex]\implies x-6=0 \implies x=6[/tex]

The leading coefficient is negative, so the parabola opens downwards.  

Therefore, the interval on which the function is positive is:

Solution:  -2 < x < 6Interval notation:  (-2, 6)

Question 3

Given function:

[tex]y=5x^2-3x-8[/tex]

Factor the given function:

[tex]\implies y=5x^2-8x+5x-8[/tex]

[tex]\implies y=x(5x-8)+1(5x-8)[/tex]

[tex]\implies y=(x+1)(5x-8)[/tex]

Substitute y = 0 to find the zeros:

[tex]\implies (x+1)(5x-8)=0[/tex]

[tex]\implies x+1=0 \implies x=-1[/tex]

[tex]\implies 5x-8=0 \implies x=\dfrac{8}{5}[/tex]

The leading coefficient is positive, so the parabola opens upwards.  

Therefore, the interval on which the function is positive is:

Solution:  x < -1 or x > ⁸/₅Interval notation:  (-∞, -1) ∪ (⁸/₅, ∞)

A liquid storage container is being filled at a constant rate. The container is being filled at a rate of 1
3
gallon per 1
4
minute.

Answers

As per unit rate of storing liquid in a container , the equivalent rate for 4 minutes is equal to (16/3) gallons.

As given in the question,

Liquid storage container is being filled at a constant rate.

Rate of filling a container = 1/3 gallon per 1/4 minute

Unit rate = (1/3 gallons)/ (1/4 minutes)

              = (4/3) gallons per minute

Equivalent rate for 4 minutes is equal to

= [ ( 4 / 3) × 4 ] gallons per 4 minutes

= ( 16 / 3) gallons

Therefore, as per unit rate of storing liquid in a container , the equivalent rate for 4 minutes is equal to (16/3) gallons.

The complete question is :

A liquid storage container is being filled at a constant rate. The container is being filled at a rate of 1/3 gallon per 1/4 minute.

Unit rate = (1/3 gallons)/ (1/4 minutes)

              = (4/3) gallons per minute

Find the equivalent rate for 4 minutes.

Learn more about equivalent  here

brainly.com/question/14672772

#SPJ1

Solve: 3(x+4)= 3x+12
Ox=0
Ox=4
Oall real numbers
Ono solution

Answers

Correct option is C, The solution is set of all real numbers.

When x=0, 0=0 and 24 Equals 24 when x = 4.

This equation holds true for all real numbers since both sides of the equation are the same. When 0=0, the solution reveals that the equation is an identity, a specific kind of equation that is true regardless of the value of x.

Identity equation: What is it?

Identity equations are described as equations that are true regardless of the value of the inserted variable.

3(x+4)=3x+12

3x+12=3x+12

When x = 0

3(0)+12=3(0)+12

12=12

When x = 4

12+12=12+12

The set of all real numbers is the answer as a result.

Y - = m is an equation for a line given a slope and a point ( x - )

or y - 7 = 1 ( x - 1) ( x - 1)

or y - 7 = x -1

or y = x + 6

Consequently, a line parallel to the line y = x + 4 has the equation y = x + 6.

To know more about identity equation, visit:

https://brainly.com/question/10832178

#SPJ9

As a football team kept winning, the attendance of their games increased. Use Demos (or calculator) to write a linear equation to model this data.


The data:



Game # ||| Attendance
1. 722
2. 763
3 772
4 826
5 815
6 857
7 897

Answers

A line of best fit (linear equation) to model this data is y = 27x + 699.43

What is a line of best fit?

A line of best fit can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between a data.

In this scenario, the game would be plotted on the x-axis of the scatter plot while the attendance would be plotted on the y-axis of the scatter plot.

By critically observing the scatter plot (see attachment) which models the data in the given table, we can reasonably and logically deduce that a linear equation for the line of best fit is given by:

y = 27x + 699.43

Read more on line of best fit here: brainly.com/question/12891189

#SPJ1

PQRSTUVW is a cuboid.

Find the angle between the line PV and the plane PTWS.
Give your answer correct to 1 decimal place.

Answers

The angle between the line PV and the plane PTWS is 29.4°

In this question we have been given a cuboid PQRSTUVW

We need to find the angle between the line PV and the plane PTWS.

First we find the length of the line PW which is diagonal of rectangular surface PTWS.

In right triangle PWS by Pythagoras theorem,

PW² = PS² + SW²

PW² = 19² + 16²

PW² = 361 + 256

PW² = 617

PW = 24.84 cm

now, consider a right triangle PWV.

Consider tangent of angle VPW

tan(∠VPW) = VW / PW

tan(∠VPW) = 14 / 24.84

∠VPW = tan^{-1}(0.5636)

∠VPW = 29.4°

Therefore, the angle between the line PV and the plane PTWS is 29.4°

Learn more about cuboid here:

https://brainly.com/question/19754639

#SPJ1

GIVING 100 POINTS IF U ANSWER ASAP

A mobile company has the following plans on their website. STANDARD PLAN: $40 for 5GB (potential starting point) and $15/GB thereafter (this is a rate of change, so it could be a slope)

UNLIMITED PLAN: $80 Always, with no additional charges.

The equation for the unlimited plan is y=80.
Write an equation (y=mx+c) for the standard plan.
IT IS NOT Y=15X+40

Answers

Answer:

y = 15x - 35

Step-by-step explanation:

STANDARD PLAN information:

$40 for 5GB.$15 per GB thereafter.

Define the variables:

Let x be the number of GB.Let y be the cost in dollars.

If it costs $40 for the first 5GB then y = 40 when 0 ≤ x ≤ 5.

It costs $15 per GB after the first 5GB. Therefore:

When x = 6, y = 40 + 15 = 55.When x = 7, y = 40 + 15(2) = 70.When x = 8, y = 40 + 15(3) = 85.

Therefore:

⇒ y = 40 + 15(x - 5)

⇒ y = 40 + 15x - 75

⇒ y = 15x - 35

The stemplot shows how much money a sample of high school students makes per month.


Use the stemplot to answer the questions.
The mean paycheck is $.
The mean is a .
This mean paycheck indicates that

Answers

The sum of the values is

[tex]67+85+92+123+147+181+181+196+198+213+252+277+287+325+459=3083[/tex]

Dividing this by the number of values, which is 15, the mean is 3083/15.

The mean is a measure of central tendency, and indicates that people make an average of about $205.53 per month.

Answer:

Use the stemplot to answer the questions.

The mean paycheck is $

✔ 205.53

.

The mean is a

✔ statistic

.

This mean paycheck indicates that

✔ on average, students earned $205.53 per paycheck

.

Step-by-step explanation:

edge 2023

Which of the following are rational numbers?
5.48
78.541
97
42.111...

Answers

Answer:

5.48

78.541

97

42.111...

(all of above)

Step-by-step explanation:

because a rational number is a number that can be written as a fraction

a decimal number that ends can be written as a fraction (ex: 5/4 = 1.25)

a decimal number that has a repeating number after the decimal point can also be written as a fraction (ex: 10/3 = 3.33...)

Other Questions
Use your notes from part B to write an analysis paragraph. Be sure to include textual evidence and commentary, use formal style, and maintain an objective tone. James is solving a number puzzple that involves three integers, a,b, and c, where, c is a positive integer.The product of a and b is 6.The product of a and c is -4.The product of b and cis -6. What is the Area of 8 and 3 1/2 How did the "doll study" help the cause of integration? A homogeneous mxture of salt and water needs to separate, how? ? 60 Thanks for helping me Will give good feedback Houa took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.20 plus $1.25 per mile. The total fare was $29.95, not including the tip. Which equation or tape diagram could be used to represent the context if x represents the number of miles in the taxi ride? PLEASE ANSWER ASAP Aim: Should students pursue medicine after graduating? Six student government officers want to go to the state convention. It will cost them $100 for registration, $380 for transportation and food, and $54 per person for the hotel. There is $500 budgeted for the convention in the student government savings account. They can earn the rest of the money they need by having a car wash. If they charge $5 per car, how many cars must they wash in order to have enough money to pay for the trip? A student has come into the infirmary displaying signs of fatigue and physical exhaustion. The only information they were willing to give you was, Its exams week. What do you do? Do you give them anything?Surprise, surprise. Someone just came in with a broken leg from Quidditch practice. What do you do?A student has had an unfortunate encounter with a wrongfully brewed potion and now has several surface burns all over their arms. What do you do?A Lycanthrope has arrived at the Hospital Wing the week before the full moon. What do you think theyre there for?Youve encountered a medical situation that you are not qualified to deal with and there are no adult healers available to assist you. What else can you do?Im currently one injury away from mummifying and bubble-wrapping everyone student, staff, and furniture. What are you going to do to calm me down?((This is just a Harry Potter Questions on what would you do if you are a healer! I will give you 50 points if you can answer these Questions! And a Brainly What in cardinality? factor out the coefficient of 1.1x + 9.9 Identify the correlative conjunction and its purpose in the following sentence.For your final project, you can either take the exam or give a presentation on a topic from the course.A. on, fromB. either, orC. orD. either Helppp ASAP pleaseee madison outlet has the following inventory transactions for the year: date transaction numbers of units unit cost total cost january 1 beginning inventory 10 $200 $2,000 march 14 purchase 15 300 4,500 $6,500 january 1 to december 31 total sales to customers 12 what amount would madison report for cost of goods sold using fifo? The fire chief credited whoever had sounded the alarm with saving many lives.A IndependentB dependent You are assisting an attorney in the closing of a real estate sale transaction. You have in your possession a copy of the contract for the purchase and sale of the property.The contract contains the names of both the purchaser and the seller and a complete legal description of the property being bought and sold, and it has attached as an exhibit a survey of the property. You have been asked to order a title examination on behalf of your client. What information do you need to give to the title examiner? Thomas Summer main argument? Loxley Corporation is authorized to issue 50,000 shares of $10 par value ordinary shares. During 2022, Loxley took part in the following selected transactionsIssued 5,000 shares at $45 per share, less costs related to the issuance of the shares totaling $7,000 Please answer this with an explannation. Thank You.