A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 65% salt and Solution B is 90% salt. She wants to obtain 140 ounces of a mixture that is 80% salt. How many ounces of each solution should she use?

Answers

Answer 1
Let x be the number of ounces of Solution A that the scientist uses, and let y be the number of ounces of Solution B that she uses. We can set up the following system of equations to represent the given information:

0.65x + 0.90y = 140 * 0.80 = 112
x + y = 140

To solve this system of equations, we can first multiply the second equation by -1 and add the resulting equations:

-1 * (x + y = 140)
-x - y = -140

0.65x + 0.90y = 112
-x - y = -140

-0.35x - 0.10y = -28

Next, we can divide both sides of the second equation by -0.1 to get rid of the fractional coefficient:

-0.35x - 0.10y = -28
(-0.1/-0.1) * (-0.35x - 0.10y) = (-0.1/-0.1) * -28
-3.5x - y = -28

Finally, we can add the resulting equations to eliminate one of the variables:

-3.5x - y = -28
0.65x + 0.90y = 112

0.35x + 0.90y = 84

Dividing both sides by 0.35, we find that x = 240.

Substituting this value back into the equation x + y = 140, we find that y = -100. Since y represents the number of ounces of Solution B, this is not a valid solution. This means that there is no solution to the system of equations, and the scientist cannot obtain a mixture that is exactly 80% salt using these two solutions.

Related Questions

whats 2+2 pls i have a test tomorrow i need to pass it

Answers

4. Some other ways to get 4 are 2^2, 4/1, 2x2, 5-1, and 1+3.
Factors include:
1, 2, and 4. As a result, it’s not a prime number.
the answer to this question is 4

what is the correct factorization of 100^12

Answers

Answer:

GCF of 12 and 100 by Prime Factorization

Prime factorization of 12 and 100 is (2 × 2 × 3) and (2 × 2 × 5 × 5) respectively. As visible, 12 and 100 have common prime factors. Hence, the GCF of 12 and 100 is 2 × 2 = 4.

GCF of 12 and 100 by Listing Common FactorsFactors of 12: 1, 2, 3, 4, 6, 12Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

There are 3 common factors of 12 and 100, that are 1, 2, and 4. Therefore, the greatest common factor of 12 and 100 is 4.

SAVINGS Natalie has $250 in her savings account, into which she deposits $10 of her allowance each week. The balance of her savings account can be modeled by the function f(w)=250+10w, where w represents the number of weeks. Which function g(w) represents the balance of Natalie’s savings account if she withdraws $40 to purchase a new pair of shoes? Describe the translation of f(w) that results in g(w).

Answers

Answer:

Answer:Step-by-step explanation:GivenRequiredDetermine g(w)First, we'll write an expression for g(w)From the question, we understand that she withdrew $40 from her account balance in w weeks.This implies that:Where f(w) is the account balance in w weeks and $40 is the withdrawn amountSubstitute 250 + 10w for f(w)Collect Like TermsRecall that:This means that function f(w) when shifter by 40 units downward, gives g(w)

Step-by-step explanation:

Please help will mark Brainly

Answers

Answer:

  y < 1/2x +6

Step-by-step explanation:

You want the inequality graphed in the given figure.

Line and shading

The line is dashed, and the shading is below it, so the inequality will have the form ...

  y < ...

This is because the boundary line is not included, and the y-values in the solution are less than those on the boundary line.

Boundary line

The y-intercept is at +6, where the line crosses the y-axis.

The line goes 2 units to the right for each 1 unit up, so its slope is ...

  m = rise/run = 1/2

The slope-intercept equation for the boundary line is ...

  y = mx +b . . . . . . slope m; y-intercept b

  y = 1/2x +6 . . . . . equation of the boundary line in the graph

Inequality

Putting the boundary line expression into the inequality form gives the inequality that describes the graph:

  y < 1/2x +6

What is the ratio of 4 red pens to 7 black pens

Answers

Answer:

There could be 12 red pens and 21 black pens

Step-by-step explanation:

$34,100 at 4% for 3 years
Simple interest

Answers

The 3 year simple interest at 4% will be $38,192.

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

The principal amount = $34,100

Interest rate = 4%

Time = 3 years Now,

Since, We know that;

Where, A is final amount.

P is principal amount.

r is interest rate.

t is time.

Substitute all the values, we get;

A = $34,100 (1 + 4/100)³

A = $34,000 (104/100)³

A = $34,000 × 104/100 × 104/100 × 104/100

A = $38,192

Thus, The Simple interest will be $38,192.

To know more about Simple interest visit :-

brainly.com/question/20690803

#SPJ1

Rewrite 12x4y3 − 48x3y4 using a common factor.

Answers

Pull out a 6x^3y^3. We would get,

6x^3y^3(2x-8y)

The second option is correct.

Answer: 12x^3 y^3 (x − 4y)

(GCF is: 12x^3 y^3)

Step-by-step explanation:

This is the best I can do, sorry that I don't have an explanation.

a parallelogram has sides that are in the ratio of 7:5 the premeter of the parallelogram is 48 how long does the longer side

Answers

Hello there!

Answer:

14

Step-by-step explanation:

Let the smaller side is x. Then the largest side is x * 7/5.

Perimeter is equal to 2 * (x + 7/5 * x) or 48.

2 * (x + 7/5 * x) = 48

5/5 * x + 7/5 * x = 24

12/5 * x = 24

12/5 * 5/12 * x = 24 * 5/12

x = 10.

Tha larger side is 10 * 7/5 = 14.

Step-by-step explanation:

Given ,

Ratio of the sides of a parallelogram are 7:5Perimeter of a parallelogram is 48

To Find : Which side is longer

We know the formula to find the perimeter of a parallelogram is,

[tex]P = 2(a+b)[/tex]

We take 'x' to find out which side is longer

[tex]48 = 2(7x+5x)\\48 = 2(12x)\\48 = 24x\\\frac{48}{24} = x[/tex]

[tex]2 = x[/tex]

Side a = 7x = 7 x 2 = 14

Side b = 5x = 5 x 2 = 10

Side a [tex]\geq[/tex] Side b

Hence,  side a is longer

-50 POINTS- cmon alr

Answers

Answer:

10

Step-by-step explanation:

[tex] \sqrt{26 {}^{2} - 24 {}^{2} }[/tex]

[tex] = \sqrt{676 - 576} [/tex]

[tex] = \sqrt{100} [/tex]

[tex] = 10[/tex]

Answer: 10

Step-by-step explanation: You can use the Pythagorean theorem which is a^2+b^2=c^2. Plug in the numbers that you already have and square them to find the answer, which is 10. Hope this helps! If you need more of an explanation pls let me know ;)

What is the major theme and minor theme in “Arachne and the weaving contest”

Answers

The central theme of Arachne is human limitation and hubris.The center of the ellipse is located midway between the foci .

What is major axis ?

The center of the ellipse is located midway between the foci. The minor axis is the line segment going through the center and perpendicular to the major axis, with both endpoints on the ellipse. The length of the ellipse's major axis is equal to the bigger of 2a or 2b, while the length of its minor axis is equal to the smaller. The major axis, which is the largest distance between any two points on the ellipse, is the line that connects both foci and runs from one end to the other. The minor axis, which is the shortest path between two points on the ellipse, is the line that passes through the center of the major axis in a perpendicular direction.

given

The central theme of Arachne is human limitation and hubris. Arachne, a young girl who is a remarkably gifted weaver, thrives on the adulation of her customers.

As a result of her youth and inexperience as well as her awareness of her exceptional talents, Arachne eventually boasts that her weaving is even greater than Athena's.

To know more about major axis visit :-

https://brainly.com/question/15295099

#SPJ1

nts
Insurance companies are interested in the average health costs each year for their dients, so that they can
determine the costs of health insurance. Match the vocabulary word with its corresponding example.
All of the insurance company's dients
The cost each year for health care
The average health care cost each year for all of the insurance company's dients
The average health care cost each year for the 400 dients that the insurance company
included in this study
The 400 dients that the insurance company included in this study
The list of the 400 annual health care costs for the dients that the insurance company
indude in the study
a. Parameter
b. Population
c. Sample
d. Statistic
e. Data
of Variable

Answers

All of the clients of the insurance company are the population, and the parameter is the annual average cost of health care for all of the clients of the insurance company.

what is variable ?

A variable in mathematics is a word or an alphabet that stands in for an unknowable quantity, value, or number. In the context of algebra or algebraic expression, the variables are employed specifically. Consider the linear equation x+9=4, which has 9 and 4 as constants and uses x as a variable.  There are many variables, including height, age, wealth, province of birth, academic standing, and kind of dwelling. The independent variable is often plotted on the x-axis whereas the dependent variable is typically plotted on the y-axis. The independent variable's value also determines

given

Information: The 400 clients' annual health care costs that the insurance provider included in the analysis.

-Variable: The expense of health care per year

400 clients were used as a sample in this study by the insurance business.

The insurance provider included 400 consumers in this survey, providing statistics on the average annual cost of health care for each of them.

-Parameter: The annual average cost of health care for all customers of the insurance provider.

All of the clients of the insurance company are the population, and the parameter is the annual average cost of health care for all of the clients of the insurance company.

To know more about variable visit :-

https://brainly.com/question/2466865

#SPJ1

Given it was not a strike, what is the probability it was a knuckle
ball? Enter the answer as a percent (%)to the nearest tenth.

Answers

In response to the above problem, we may state that the triangle's - 5/13 measurements correspond to sin and cos.

Trigonometric functions: what are they?

The first six essential trigonometric functions are used in trigonometry. These functions are trigonometric ratios. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six basic trigonometric functions. The side ratio of a right-angled triangle is equivalent to the identities and functions of trigonometry. Trigonometric formulas are applied to the perpendicular side, hypotenuse, and base of a right triangle in order to calculate the sine, cosine, tangent, secant, and cotangent values.

as base/hypotenuse = cos x

and sin x = hypotenuse/perpendicular

To know more about trigonometric functions visit:

brainly.com/question/6904750

#SPJ1

Find all the zeroes of the equation.
x4-6x2-7x-6 = 0

Answers

Zeros of the given equation are {-2, 3, (-1±i√3)/2}

Solution:-

As the last term is -6 then, ± 2 , ±3 are possible zeroes.

Try 2:-

[tex]2^4-6*(2)^2-7*2-6=-28[/tex] so  2 is not a zero.

Try 3:-

[tex]3^4-6*(3)^2-7*3-6=0[/tex]  so 3 is a zero.

[tex](-2)^4-6*(-2)^2-7*(-2)-6=0[/tex]  so -2 is also a zero.

Divide the function by (x +2)(x - 3),  that is  [tex]x^2 - x - 6[/tex]

gives  [tex]x^2 + x + 1[/tex]

[tex]x^2 + x + 1[/tex]

So we have [tex]x^2 + x + 1 = 0[/tex]

[tex]x = [-1 +\sqrt{1^1 - 4*1*1}] / 2[/tex]

= -1 + √(-3) / 2 , - 1 - √(-3)  / 2.

= -0.5 + 0.866i, -0.5 - 0.866i

What are math roots?

In mathematics, the number that results in the original number when multiplied by itself is called the root.

To know more about function visit:-

brainly.com/question/12431044

#SPJ1

1. Simplify and show your work.
3(2x^3y^5)^3
——————— or /
(2x^6y^3)^4

Answers

On solving the provided question, we can say that - here the value of exponential equation is 648/1296 = 0.5

what are exponents?

Exponentiation, often known as "b raised to the nth power," is a mathematical operation denoted by the symbol bn that involves two numbers: a base number, b, and an exponent, or power, n. Exponents show how many times a number has been multiplied by itself. As an illustration, 2-3 (written as 23) denotes: 2 x 2 x 2 = 8. 23 is not equivalent to 2 + 3 = 6. Recall that an integer raised to the power of one equals itself. A approach to express huge numbers as powers is through the use of exponents. Exponent, then, is the quantity that indicates how many times a number has been multiplied by itself. As an illustration, 6 is multiplied by 4 to provide 6 x 6 x 6 x 6. It may be expressed as 64. 4 is where

So, the equation is

[tex]3(2x^3y^5)^3/ (2x^6y^3)^4[/tex]

and x=y=1

so, 648/1296 = 0.5

To know more about exponents visit:

https://brainly.com/question/3987569

#SPJ1

At the end of an interview you are offered a job. You would start at 7.50 an hour and work an average of 45 hours a week. At the end of six months with a positive evaluation, your hourly pay would increase to 8. The job pays overtime at a time and a half rate, based on 37 1/2 hour regular work week. What total earrings could you expect to make by working a full year

Answers

By working a full year, you may expect to earn a total of $19,646.25 in earrings.

Explain about the expression?

This mathematical operation enables the multiplication, division, addition, or subtraction of numbers. The following is the structure of an expression: Expression: (Number/Variable, Math Operator, Math Operator)

An expression, also known as an algebraic expression, is any mathematical statement that consists of numbers, variables, and an arithmetic operation between them. For example, the mathematical sign + separates the phrases 4m and 5 from the variable m in the phrase 4m + 5.

Combining numbers, variables, and operators to represent something's value is known as a mathematical expression. Setting two expressions equal to one another creates an equation, a mathematical statement.

= Total overtime pay of $2,193.75 (first 6 months)

Add the regular and overtime pay after that:

= $7,312.50 + $2,193.75

= $9,506,25 in total income (first 6 months)

$7,800.00totalregularpay(last6months)

Overtime pay:(26weeks in a half year) \=$8\times

7.57.5\times1.51.5\times

$ 26

= Total overtime pay of $2,340.00 (last 6 months)

Add the regular and overtime pay after that:

= $7,800.00 + $2,340.00

= $10,140.00 in total income (last 6 months)

In the end, add the combined earnings from the two half years:

= $9,506.25 + $10,140.00

= Total annual profits of $19,646.25 (expected)

To learn more about expression refer to:

https://brainly.com/question/723406

#SPJ1

Can anyone help me fill in the other blanks

Answers

On solving the problem we got that, 17yds and 11yds are its length and width​

What does perimeter mean?

The circumference of an item is known as its perimeter. For instance, your home has a yard that is enclosed. The length of the fence is the perimeter. The length of your fence is 200 feet if the yard is 50 feet by 50 feet.

length =L

width = W

length is 6 yd longer than its width,

L  =  6 + W

perimeter is 56yds:    

[tex]56= 2(L + W) \\ = > 68 = 2(6 + W) + 2W\\= > 12+ 2W + 2W = 56\\= > 4W = 44\\= > W = 11 yds\\= > L = 11+6 = 17 yds[/tex]

To know more about perimeter visit:

brainly.com/question/6465134

#SPJ1

which fractions, when converted, result in a repeating decimal? select all that apply 1/8 1/6 3/12 8/9 2 and 4/5 4 and 3/11​

Answers

Answer:

B. 1/6

D. 3/12

F. 4 3/11

PLEASE MARK BRAINLIEST

Carmen and her dog, Duke, walk 5 blocks in 8 minutes. Terell and his dog, Lady, walk 8 blocks in 12 minutes. Who walks at a slower rate? How long whould it take that person to walk 12 block?

Answers

Carmen and her dog, Duke walked at a slower rate at 0.625 blocks/min

Carmen and her dog, Duke would take 19.2 minutes to work 12 blocks.

What is rate?

In math, a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate. The word "per" can be further replaced by the symbol "/" in problems.

Carmen/Duke walks 5/8 = 0.625

Terell/Lady walks 8/12 = 0.677

Therefore, from the average time, Carmen and Duke walk slower.

Carmen and Duke will walk 12 blocks in;

= 12/0.625

= 19.2 minutes

Learn more about rate here: https://brainly.com/question/119866

#SPJ1

Simplify. 3(x+2y)+5x−y+1
A 8x+y+1
B 8x+5y+1
C 8x+7y+1
D 6xy+5x−y+1

Answers

Answer: 8 x + 5 y + 1

8x+5y+1

so that would be B)

Answer is B.) 8x + 5y + 1

Step by step.

3(x + 2y) + 5x -y + 1

PEMDAS is the rule of math order of operations. It says to perform parenthesis first. Distribute multiply 3 x both variables in ( ).

3x + 6y +5x -y +1

Now combine like terms
This means add x’s then y’s then constants.
You can only add like terms that are the same.

8x + 5y + 1

So B. Is your answer

I need help with this, I need to simplify but I don't know how

Answers

Answer: solve the same variables

Step-by-step explanation:

1. 3y + 4.1

2. 4x +

3. 5x + 22½

4. 4y²

5. + 25

6. 0

Rami's glass is 1/2 full. Will's glass is 3/8 full. Whose glass is fuller? How much fuller is it?

Answers

Rami's glass is fuller than Will's glass by 1/8

How to determine whose glass is fuller?

From the question, we have the following parameters that can be used in our computation:

Rami's glass is 1/2 full. Will's glass is 3/8 full.

Convert the fractions to decimal

This gives

Rami's glass is 0.5 full. Will's glass is 0.375 full.

0.5 is greater than 0.375

So, Rami's glass is fuller

How much fuller is it?

To do this, we calculate the difference

So, we have

Difference = 0.5 - 0.375

Evaluate

Difference = 0.125

Rewrite as

Difference = 1/8

Hence, it is 1/8 fuller

Read more about fraction at

https://brainly.com/question/2929160

#SPJ1

4.3.3 Refer to Exercise 4.3.1. Suppose we select a simple random sample of five adults. Use Equation 4.3.2 to find the probability that, in the sample, the number of people who have been told that they have hypertension will be: (a) Zero (b) More than one (c) Between one and three, inclusive (d) Two or fewer (e) Fiv

Answers

The probabilities of the number of people told that they have hypertension, using the binomial distribution, are given as follows:

a) Zero: 0.2536 = 25.36%.

b) More than 1: 0.3461 = 34.61%.

c) Between one and three: 0.7331 = 73.31%.

d) Two or fewer: 0.9068 = 90.68%.

e) Five: 0.0008 = 0.08%.

What is the binomial distribution formula?

The mass probability formula, giving the probability of x successes, is of:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are given by:

n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.

The values of these parameters for this problem are given as follows:

p = 0.24, n = 5.

Hence the probability for each outcome in the distribution is given as follows:

P(X = 0) = (1 - 0.24)^5 = 0.2536.P(X = 1) = 5 x 0.24 x (1 - 0.24)^4 = 0.4003.P(X = 2) = 10 x 0.24² x (1 - 0.24)³ = 0.2529.P(X = 3) = 10 x 0.24³ x (1 - 0.24)² = 0.0799.P(X = 4) = 5 x 0.24^4 x (1 - 0.24) = 0.0126.P(X = 5) = (0.24)^5 = 0.0008.

Hence the missing probabilities are given as follows:

b) More than 1: 1 - (0.2536 + 0.4003) = 0.3461 = 34.61%.

c) Between one and three: 0.4003 + 0.2529 + 0.0799 = 0.7331 = 73.31%.

d) Two or fewer: 0.2536 + 0.4003 + 0.2529 = 0.9068 = 90.68%.

Missing Information

The probability that a person has hypertension is given as follows:

p = 0.24.

More can be learned about the binomial distribution at https://brainly.com/question/24756209

#SPJ1

Match each modification to its effect on an ecosystem.
Many desert regions in the West were transformed
into lush urban areas and farmlands.
Water bodies in the Owens Valley and its
surrounding areas began to dry up.
Runoff containing disease-carrying organisms
contaminated soil and caused water pollution.
construction of the Los Angeles aqueduct
arrowRight
construction of large highways
arrowRight
damming of the Colorado River

Answers

The modifications and their effects on the ecosystem include:

construction of the Los Angeles aqueduct - Many desert regions in the West were transformed into lush urban areas and farmlands.construction of large highways - Runoff containing disease-carrying organismsdamming of the Colorado River - Water bodies in the Owens Valley and its surrounding areas began to dry up.

What were the effects of some man made feats in the west ?

With the construction of the Los Angeles aqueduct, water was transported to the west such that many desert regions there became lush urban areas and farmlands.

Large high ways and the damming of the Colorado River did not have such a good impact however, as they both led to runoff and to water bodies in the Owen valley drying up.

Find out more on aqueducts at https://brainly.com/question/22124133

#SPJ1

A 3-gallon container of disinfectant costs $36.24. What is the price per quart?

Answers

Answer:

10.74666666666667 per quart

Step-by-step explanation3 divided 36.24

y-5=-7/3(x-3) in standard form

Answers

Answer: The equation Y-5 = -7/3(X-3) in standard form is:

3Y - 15 = -7X + 21

Step-by-step explanation:

Find the sum and express it in simplest form.
(7t³ + 3t - 1) + (-9t³ + 2t)
DO
Enter the correct answer.

Answers

Answer:

-2[tex]t^{3}[/tex] + 5t - 1

Step-by-step explanation:

(7[tex]t^{3}[/tex] + 3t - 1) + (-9[tex]t^{3}[/tex] + 2t)

7[tex]t^{3}[/tex] - 9[tex]t^{3}[/tex] + 3t + 2t - 1  Combine like terms

-2[tex]t^{3}[/tex] + 5t - 1

Like terms have to have the same variable and the same exponents to be like terms.

what is 0.10x10= ?
(i know how to do this but im very stuck on this one)

Answers

the answer is just 1

Answer:

Its 1 because you are moving the digits 1 place to the right

Step-by-step explanation:

To be eligible for the swim team, the mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s). The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.

What is the maximum time (in seconds) that she can take on her last lap and still make the team?

Answers

52s is the maximum time that she can take on her last lap and still make the team.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that he mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s).

The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.

We need to find the maximum time (in seconds) that she can take on her last lap and still make the team

Let x be the maximum time (in seconds) that she can take on her last lap

60=(63+62+65+58+x)/5

300=63+62+65+58+x

300=248+x

Subtract 248 on both sides

300-248=x

x=52s

Hence, 52s is the maximum time that she can take on her last lap and still make the team.

To learn more on Statistics click:

https://brainly.com/question/29093686

#SPJ1

Decide whether triangles ABC and DEC are similar. Explain or show your reasoning.

Answers

Triangles ABC and DEC are similar.

What is triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

Here, we have,

Given the triangles ABC and DEC

For the triangle ABC:

m∠A = 36, m∠B = 21

So, the m∠C = 180 - (m∠A + m∠B ) = 180 - (36 + 21) = 123

Similarly, the angles of DEC are,

m∠D=36 , m∠C=123 & we get,  m∠E =21

So, comparing the measurements of the angles of both triangles:

m∠A=m∠D.

m∠C=m∠C

m∠B=m∠E

So, the triangles are similar using the AAA postulate.

Hence, triangles ABC and DEC are similar.

To learn more on triangle click:

https://brainly.com/question/29126067

#SPJ1

correct 0.00798516 to three significant figures ​

Answers

Answer:  0.00799

Explanation:

The zeros in 0.00798516 are not considered significant because they are not between nonzero values.

If we had something like 1.207, then that zero would be considered significant.

The first three significant values we come across in 0.00798516 are 7, 9 and 8 in that order. The next digit 5 meets the criteria of "5 or larger", which means the 798 bumps up to 799. Erase everything to the right of that.

Therefore, 0.00798516 rounds to 0.00799 when rounding to 3 significant figures.

Answer: 0.00799

0.00798516 rounded off to three significant figures is 0.00799

hope that helps...

Other Questions
What do you think is the best economic system and why? In a single-family residence, a line-voltage thermostat is primarily used to control _____. Brad ha a jar containing 50 coin. He ha 5 cent, 10 cent and 25 cent in the ratio 5:3:2a. How many coin of each value doe he have?b. How much money doe he have in total? Question: 33 of 39 Lesson 17Using the info given, solve for the missing value of the right triangle. Round each angle to the nearest degree, each length to the nearest tenth, & each trigonometric value to four decimal places, if necessary.tan = 0.7536Hypotenuse = 29 milesOpposite side = ? Choice 'A' opp = 13.7 milesChoice 'B' opp = 15.2 milesChoice 'C' opp = 12.4 milesChoice 'D' opp = 17.5 miles The table shows the amount of certain school supplies left over in the school bookstore at the end of the year.Item Total Pens 36Markers 48Erasers 24The bookstore manager will make packages of the remaining school supplies and sell them for $5 per package. Each package will be identical and contain the same number of items, and there will be none left over. The manager wants to create the greatest number of packages possible. How much will the bookstore earn if all of the packages of supplies are sold?Multiple choice question. Answer the question below: a particular dress requires 3 1/4 yards of fabric for manufacturing. if the matching jacket requires 1/6 yards less fabric, how much fabric is needed for both pieces? Who won ww2 Allies or Axis? What are PACS benefits? Which expression is equivalent to -9 - \left(-4\dfrac13\right) Write a introduction base on the topic reproduction, male an female reproduction system What was significant about Ronald Reagans election in 1980 ? The entrance fee for the carnival is $7and the cost for a ticket for aride is $.25.a. Write an equation for the total cost (C) if you go to the carnivaland ride r number of rides.b. What is the total cost if you ride 15 rides? Math A 6. 0 kg bowling ball traveling at 2 m/s strikes a 1. 5 kg bowling pin. Describe and compare the forces that act on the bowling ball and the bowling pin during the collision. What term is used to describe the concept of doing more with less effort, time, equipment, and space while giving customers what they want Please give me a step by step explanation Which of the following is the graph of y=-4 square root x Why is it called municipal? Can your living environment affect your physical fitness? How do you solve a 45 45 90 and 30 60 90 triangle?