Ivan has $1098 worth of $12 and $14 stock shares. The number of $14 shares is seven more than
twice the number of $12 shares. How many of each does he have?
Number of 12$ Shares?
Number of 14$ Shares?

Answers

Answer 1

Answer:

Number of 12$ Shares? 25

Number of 14$ Shares? 57

Step-by-step explanation:

Let x = number of $12 shares.

Let y = number of $14 shares.

"Ivan has $1098 worth of $12 and $14 stock shares."
12x + 14y = 1098

The number of $14 shares is seven more than twice the number of $12 shares.

y = 2x + 7

We have a system of equations.

12x + 14y = 1098

y = 2x + 7

We can use the substitution method since the second equation is already solved for y. Substitute 2x + 7 for y in the first equation.

12x + 14(2x + 7) = 1098

12x + 28x + 98 = 1098

40x = 1000

x = 25

There are 25 $12 shares.

y = 2x + 7 = 2(25) + 7 = 57

There are 57 $14 shares.

Check:

25 × $12 + 57 × $1`4 = $300 + $798 = $1098

The total value is correct, so the answer is correct.


Related Questions

For the data 20, 40, 50, 20, 10, 70. What is there mean absolute deviation?

Answers

Answer:

18.333

Step-by-step explanation:

How to answer this question

How to answer this question

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I don’t know tbh cause I don’t know what that is
The answer to this is seven

Determine the domain and range of the relation. *​

Determine the domain and range of the relation. *

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Speeding up velocity for 5 seconds, same speed for another 10 seconds, slows down for 10 seconds.

Determine the equation of the graph and select the correct answer below.

Determine the equation of the graph and select the correct answer below.

Answers

Answer: y = (x - 1)² - 3

Step-by-step explanation:

y = (1-1)²-3
y=0-3
y=-3

X is a discrete random variable. The graph below defines a probability distribution for X.
What is the expected value of X?

Answers

Answer: 1.1

Step-by-step explanation:

Expected value is the weighted average of the various possibilities and their probability of occurring.

The probabilities represented are:

0.35, 0.35, 0.15 and 0.15.

They add up to:

= 0.35 +0.35 + 0.15 + 0.15

= 1

The possibilities are; 0, 1, 2 and 3.

Expected value = (0.35 * 0) + (0.35 * 1) + (0.15 *2) + ( 0.15 * 3)

= 1.1

X is a discrete random variable. The graph below defines a probability distribution for X. What is the

Describe a set of transformations that would map Red Triangle to the Blue Triangle.

Describe a set of transformations that would map Red Triangle to the Blue Triangle.

Answers

1) translation of 2 down
2) translation of 5 right

can you answer this question for me?

can you answer this question for me?

Answers

Answer: (A)c and e

(B) 4.8 times

Step-by-step explanation:

factor 16n^4 -1 completely

Answers

Answer:

(4n^2 + 1) (2n+1) (2n-1)

Step-by-step explanation:

use difference of squares

if my answer is correct, pls mark this is brainliest! thanks!

Since both terms are perfect squares, factor using the difference of squares formula,

a² − b² = (a + b) (a − b) where a = 4n² and b=1.

(4n² + 1) (2n + 1) (2n − 1)

A Bakery made 423 sandwiches in one day. What is that number rounded to the nearest hundred sandwiches? ​

Answers

Answer: 400

Step-by-step explanation:

f(x) = 3x+2

What is f(5)?

Answers

F(5)= 3.(5)+2=15+2=17

Another example: F(0)=3.(0)+2=0+2=2

You just replace the value in the two sides.

How much will remain 6,3,1 years after 2

Answers

The amount remaining after 6, 3, and 1 years following 2, 7, and 4 would be 8, 4, and 0, respectively.

What is amount?

Amount is a quantity or measure of something, such as a number of items, money, or time. It is often used to refer to an amount of money or a measure of quantity, such as an amount of goods or services. Amount is often used as a noun and can also be used as a verb, as in "to amount to something."

Six years after 2, 7, and 4, the remaining numbers would be 8, 4, and 5. Three years after 2, 7, and 4, the remaining numbers would be 5, 1, and 0. One year after 2, 7, and 4, the remaining numbers would be 3, 8, and 5.

Therefore, the amount remaining after 6, 3, and 1 years following 2, 7, and 4 would be 8, 4, and 0, respectively.

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Complete questions as follows-

How much will remain 6,3,1 years after 2,7 and 4 years.

The first step to solve the expression 23 + 7 - 2 x 5 is multiplication?

Answers

True

From PEMDAS, multiplication(M) comes before addition

so we multiply before we add

help! offering 15 points

help! offering 15 points

Answers

The formula for the centripetal force, as a function of the radius, is given as follows:

F = 896/r.

What is a proportional relationship?

The equation that defines a direct proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality.

For an inverse proportional relationship, the equation is given as follows:

y = k/x.

The centripetal force varies inversely with the radius, hence the equation is given as follows:

F = k/r.

When F = 56, r = 16, hence the constant k is obtained as follows:

56 = k/16

k = 56 x 16

k = 896.

Hence the equation is given as follows:

F = 896/r.

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which expression is equivalent 1/4 (4/7x - 1/2) - 3/8
A- 1/7x - 1/2
B- 1/7x - 1/4
C- 1/7x - 7/8
D- 1/7x - 7/32

Answers

Answer:

d

Step-by-step explanation

boys are strong like king kong,girls are weak chuck them in the creak

May I please get help to this question.

May I please get help to this question.

Answers

Answer: 3

Step-by-step explanation:

May I please get help to this question.

Factor the following expression 6n - 24 A. 2(3n + 12) B. 3(2n + 4) C. 6(n - 4)D. 2(3n - 12)

Answers

Given

factor the expression

\(6n-24\)\(\begin{gathered} \text{The highest common factor is 6} \\ 6n-24=6(n-4) \end{gathered}\)

The correct answer is Option C

Find the absolute value

-5/6|

Answers

Answer:

5/6 OR 0.83 (with the three repeating)

Hope that helps!

Step-by-step explanation:

Blake rode his bike 104 miles at a constant speed for 8 hours. How long did it
take him to ride 26 miles?

Answers

Answer:

I think 2hours

Step-by-step explanation:

but I'm not sure

Write the slope of tangent and normal to the curve y=f(X) at (x1,y1).​

Answers

The slope of the tangent line is:

a = (df(x1)/dx)

The slope of the normal one is:

a' = -1/(df(x1)/dx)

How to find the slope of the tangent line?

For any function y = f(x), we define the slope of the tangent line at the point x as the derivative evaluated in x.

So if we want to find the slope of the tangent line at the point (x1, y1), we just need to differentiate and evaluate in x1, then the slope will be given by:

df(x1)/dx

And the normal slope is the slope of the perpendicular line, two slopes are perpendicular if the product is -1, then:

a*(df(x1)/dx) = -1

a = -1/(df(x1)/dx)

Where df/dx reffers to the derivative of f(x).

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Find equation for a vertical line passing through the point (-12,-4)

Answers

Answer:

x = -12

Step-by-step explanation:

This is a vertical line, so the equation will be of the form x = k, where k is any x-value.

The conclusion that x = -12 was found because the x-value in the point was -12.

5. Briefly define the following terminologies: (A) Degeneracy; (B) Slack variable; (C) Project; (D) Critical path; (E) Optimistic time; (G) Artificial variable; (H) Alternative optimal solution

Answers

This circumstance may happen if one of the RHS coefficients is 0. The objective value and solution remain the same in this situation, but there are still variables. Degeneracy describes this condition.

What is Degeneracy?

The energy levels in a three-dimensional box are provided by the formula E = (h2/8m) [(n x2/a2) + (n y2/b2) + (n z2/c2)].

where n x, n y, and n z are the quantum numbers for the x, y, and z dimensions, respectively, and h is Planck's constant, m is the particle'smass, a, b, and c are the dimensions of the box.

The amount of various quantum number combinations that result in the same energy is the degeneracy of an energy level.

The degeneracies of the first four energy levels for a three-dimensional box with a=b=1.5c are as follows:

1 degeneracy at first energy level (n=1)

Third degeneracy at second energy level (n=2)

6 degeneracies at third energy level (n=3)

10 degeneracies at energy level four (n = 4)

Hence, This circumstance may happen if one of the RHS coefficients is 0. The objective value and solution remain the same in this situation, but there are still variables. Degeneracy describes this condition.

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Male mosquitos have pretty short lifespans. Males of a certain species have lifespans that are strongly skewed to the right with a mean of 8 days and a standard deviation of 6 days. A biologist collects a random sample of 50 of these male mosquitos and observes them to calculate the sample mean lifespan. We can assume that the mosquitos in each sample are independent.

What will be the shape of the sampling distribution of the sample mean lifespan?

Answers

Answer:

Approximately Normal

Step-by-step explanation:

The sample size is large (n=50≥30), so the sampling distribution of the sample mean will be approximately normal even though the population is skewed.

Hurry, geometry math 7th grade

Hurry, geometry math 7th grade

Answers

You need to find the area of the hexagon, and the area of the triangle.

The formula for the area of a triangle is

\(a = \frac{bh}{2} \)

I hope this helps you a little.

Answer:

93.5 units^2

Step-by-step explanation:

a^2+b^2=c^2

a=3

b=?

c=6

b=√6^2-3^2

b=3√3=5.196

5.196×3=15.5884

15.5884×6

What is 2+2+2-2+4-8?

Answers

Answer:

Answer- 0

Step-by-step explanation:

2+2+2-2+4-8= 4-2+4-8=0

hope this helps :)

The mayor of a town saw an article that claimed the national unemployment rate is 8%. They wondered if this held true in their town, so they took a sample of 200 residents to test H_0 : p = 0.08 versus H_a : p != 0.08, where p is the proportion of residents in the town that are unemployed. The sample included 22 residents who were unemployed.Identify the correct test statistic for this significance test to one decimal place.

Answers

Answer:

Z = \(\frac{0.11-0.08}{\sqrt{0.08*0.92/200} }\)   = 1.6  

we reject the Null hypothesis

Step-by-step explanation:

The correct test statistic

Assume :

Null Hypothesis :  H_0 : p = 0.08

Alternative hypothesis : H_a : p ≠ 0.08

p = proportion of residents that are unemployed

x = unemployed residents = 22

n = sample size = 200

To get the sample of the population that is unemployed we use this equation

\(p = \frac{X}{n}\)  =  22 / 200   = 0.11

now we apply the test of of significance of single proportion

= Z = \(\frac{p - P}{\sqrt{pq/n} }\)

therefore Z = \(\frac{0.11-0.08}{\sqrt{0.08*0.92/200} }\)   = 1.6

Therefore we reject the Null hypothesis

Testing the hypothesis, it is found that the test statistic used is z = 1.6.

At the null hypothesis, it is tested if the proportion is of 8%, that is:

\(H_0: p = 0.08\)

At the alternative hypothesis, it is tested if the proportion is different of 8%, that is:

\(H_1: p \neq 0.08\)

The test statistic is given by:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

In which:

\(\overline{p}\) is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.

For this problem, the parameters are: \(p = 0.08, n = 200, \overline{p} = \frac{22}{200} = 0.11\)

Hence, the value of the test statistic is:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

\(z = \frac{0.11 - 0.08}{\sqrt{\frac{0.08(0.92)}{200}}}\)

\(z = 1.6\)

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Samuel would like to rent a booth at his local farmer's market to sell his merchandise. It costs $280 to rent a booth at the farmer's market, and for each item that Samuel sells, x, he profits $40. This can be modeled by the function S(x) = 40x − 280. Based on the graph of the linear function that represents the amount of money Samuel profits, S(x), what is the coordinate of the x-intercept and its interpretation?

(−280, 0); Samuel will begin with a positive profit
(7, 0); After selling 7 items, Samuel will have a positive profit.
(40, 0); After selling 40 items, Samuel will have a positive profit.
(280, 0); After selling 280 items, Samuel will have a positive profit.

Answers

The correct interpretation of the final answer of 7 is as given below:

(7, 0); After selling 7 items, Samuel will have a positive profit.

How is the intercept determined?

The intercept of the modelled function is derived by equation the function to zero, in other words, the intercept is the point at which the y and x axes meet

S(x) = 40x − 280

40x-280=0

40x=280

x=280/40

x=7

The clear interpretation of 7 is that the company needs to sell to make a profit

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What would the circumference of a circle be with a diameter of 15 cm? Use 3.14 for pi.

Answers

Answer:

47.1cm²

Step-by-step explanation:

diameter=15cm

circumference of circle= d×3.14

circumference=15×3.14

circumference=47.1

2
x
Solve for n.
2n + 3 = -3. 2
Enter the answer in the box.

Answers

Answer:

n = -3.1 ♥

Step-by-step explanation:

\(2n + 3 = -3. 2\\\\\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}\\\\2n+3-3=-3.2-3\\\\Simplify\\\\2n=-6.2\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\\\frac{2n}{2}=\frac{-6.2}{2}\\\\Simplify\\\\n=-3.1\)

i’m pretty sure it’s n = -3.1

The production line for Colgate toothpaste is designed to fill tubes with a mean of 6 oz. A sample of 30 tubes will be selected to check the filling process. Assume that the sample had a mean of 6.1 oz and a standard deviation of 0.2 oz. We want to perform a hypothesis test at the 0.05 level of significance to help determine if the filling process should continue or if the machine needs to be corrected. We get the following hypotheses:
H 0 μ = 6 H a μ ≠ 6 We got a P-value of 0.0104. Which of the following is a valid conclusion?
A. There is not sufficient sample evidence to support the claim that the true mean weight, in ounces, of all Colgate toothpaste tubes equals 6 oz.
B. There is sufficient sample evidence to support the claim that the true mean weight, in ounces, of all Colgate toothpaste tubes is not 6 oz.
C. There is not sufficient sample evidence to reject the claim that that the true mean weight, in ounces, of all Colgate toothpaste tubes equals 6 oz.
D. There is sufficient sample evidence to support the claim that the true mean weight, in ounces, of all Colgate toothpaste tubes equals 6 oz.

Answers

Answer:

B. There is sufficient sample evidence to support the claim that the true mean weight, in ounces, of all Colgate toothpaste tubes is not 6 oz.

Step-by-step explanation:

A two-tailed hypothesis test is performed.

The null and alternative hypothesis are:

\(H_0: \mu=6\\\\H_a:\mu\neq 6\)

The P-value calculated in this test is 0.0104.

As this P-value (0.0104) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the mean fill volume differs significantly from 6 oz.

Use this pattern when a binomial
can be written as the square of
one number minus the square of
another number.
4x² - 49 = (2x-7)(2x + 7)
2

Use this pattern when a binomialcan be written as the square ofone number minus the square ofanother

Answers

A pattern when a binomial can be written as the square of one number minus the square of another number will be 4x² - 9 = (2x-3)(2x + 3)

What is a binomial?

Binomial is the name for an algebraic expression with only two terms. It is a polynomial with two terms. It is sometimes referred to as the sum or difference of two or more monomials. It is a polynomial's most basic form.

It should be noted that a binomial is an algebraic expression that has two non-zero terms. Examples of a binomial expression: a2 + 2b is a binomial in two variables a and b. 5x³ – 9y² is a binomial in two variables x and y.

In this case, the illustration for 4x² - 9 = (2x-3)(2x + 3) depicts this.

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