Can someone show me how to do this one correctly?

Can Someone Show Me How To Do This One Correctly?

Answers

Answer 1

ANSWER:

Juwan has 19 dimes and 6 quarters in his pocket.

STEP-BY-STEP EXPLANATION:

From the statement we can establish the following system of equations:

Taking into account that one dime is 10 cents and a quarter is 25 cents.

Let x be the number of dimes

Let y be the number of quarters

[tex]\begin{gathered} x+y=25\rightarrow x=25-y\text{ (1)} \\ 10x+25y=340\text{ (2)} \end{gathered}[/tex]

We solve the system of equations by means of the substitution method, we substitute equation (1) in (2):

[tex]\begin{gathered} 10\cdot(25-y)+25y=340 \\ 250-10y+25y=340 \\ 15y=340-250 \\ y=\frac{90}{15} \\ y=6 \\ \\ \text{therefore, for x:} \\ x=25-6 \\ x=19 \end{gathered}[/tex]

Therefore they are 19 dimes and 6 quarters


Related Questions

10)BONUSKelll walks into science class and they have 6 hershey kisses and 6 reese cups on a scale that reads82.4 ounces. She wants some chocolate so she eats 2 hersey kisses and 1 reese cup and now thescale reads 63.8 ounces.a) Define your variables and set up a system of equations.

Answers

Leah, this is the solution:

Variables:

Let x to represent the weight of one Hershey kiss

Let y to represent the weight of one Reese cup

System of equations:

6x + 6y = 82.4

4x + 5y = 63.8

______________

Let's multiply the second equation by - 3/2, therefore:

6x + 6y = 82.4

-6x - 15y/2 = -95.7

________________

-15/2 + 6 = -3/2

_________________

-3y/2 = -13.3

Dividing by -3/2 at both sides:

-3y/2 / -3/2 = -13.3 / -3/2

y = 8.87

______________

Replacing y in the first equation and solving for x:

6x + 6 * 8.87 = 82.4

6x + 53.22 = 82.4

Subtracting 53.22 at both sides:

6x +53.22 - 53.22= 82.4 - 53.22

6x = 29.18

Dividing by 6 at both sides:

6x/6 = 29.18/6

x = 4.86

_________________

In conclusion, one Hershey kiss weights 4.86 ounces and one Reese cup weights 8.87 ounces.

Surface area of a cone: S = πr² + πrl;solve for l.

Answers

Answer:

[tex]l=\frac{S-\pi r^{2}}{\pi r}[/tex]

Explanation:

The surface area of a cone is calculated using the formula:

[tex]S=πr^2+πrl[/tex]

We want to solve for l.

First, subtract πr² from both sides of the equation:

[tex]\begin{gathered} S-\pi r^2=\pi r^2-\pi r^2+\pi rl \\ S-\pi r^2=\pi rl \end{gathered}[/tex]

Next, divide both sides by πr:

[tex]\begin{gathered} \frac{S-\pi r^2}{\pi r}=\frac{\pi rl}{\pi r} \\ l=\frac{S-\pi r^{2}}{\pi r} \end{gathered}[/tex]

The equation solved for l is:

[tex]l=\frac{S-\pi r^{2}}{\pi r}[/tex]

Solve the following system of equations graphically on the set of axes below. Plot two or more dotes on the graphy = 2x - 8 y = -x + 4

Answers

Given:-

[tex]y=2x-8,y=-x+4[/tex]

To find the graphical representation.

So the graph of y=2x-8 is,

Also the graph of y=-x+4 is,

Combining we get the graph

So the point is (4,0).

Select the graph for the solution of the open sentence. Click until the correct graph appears. Ix| + 3 > 3

Answers

Given the sentence;

[tex]\mleft|x\mright|+3>3[/tex]

Subtracting 3 from both sides;

[tex]\begin{gathered} \mleft|x\mright|+3>3 \\ |x|+3-3>3-3 \\ \mleft|x\mright|>0 \end{gathered}[/tex]

Given the absolute value of x to be greater than zero, the range of value of x is;

[tex]\begin{gathered} x>0 \\ or \\ x<0 \end{gathered}[/tex]

Therefore, the correct graph of the solution is;

Use the rectangle at the right to answer the following questions. a. Find the area of the entire rectangle. Show your work. b. Calculate the perimeter of the figure. Show your work.

Answers

Length of the entire rectangle = 12 + 5 = 17

Width of the entire rectangle = 6+4 = 10

Part a

Area of rectangle = Length x width

Area of the entire rectangle = 17 x 10 = 170 square units

Part b

Perimeter of rectangle = 2( length + width )

Perimeter of the entire rectangle = 2(17 + 10 )

=2 (27) = 54

Perimeter of the entire rectangle = 54 units

Length of the entire rectangle = 12 + 5 = 17

Width of the entire rectangle = 6+4 = 10

Part a

Area of rectangle = Length x width

Area of the entire rectangle = 17 x 10 = 170 square units

Part b

Perimeter of rectangle = 2( length + width )

Perimeter of the entire rectangle = 2(17 + 10 )

=2 (27) = 54

Perimeter of the entire rectangle = 54 units

Finding the mode and range of a data set Each day, Kaitlin records the number of news articles she reads. Here are her results for the last eight days. 7, 3, 8, 5, 7,7,7,8 Find the mode and the range for the data. Mode: Range: X 5 ?

Answers

Explanation:

The set of values are given below as

[tex]7,3,8,5,7,7,7,8[/tex]

Mode:

This the data that occurs highest or the dat that has the highest frequency

Range:

The is the difference between the lowest val and the highest value

[tex]Range=highest-lowest[/tex]

Hence,

The final answers are

[tex]\begin{gathered} mode=7(it\text{ occurs 4 times\rparen} \\ range=8-3=5 \end{gathered}[/tex]

Hence,

The final answer is

[tex]\begin{gathered} mode=7 \\ Range=5 \end{gathered}[/tex]

Solve any quality express your answer in interval notation you decimal forms for numerical values

Answers

Solution

[tex]\begin{gathered} 5z-11<-6.6+3z \\ Subtract\text{ 3z from both side} \\ 5z-3z-11<-6.6+3z-3z \\ 2z-11<-6.6 \\ Add\text{ 11 to both sides } \\ 2z-11+11<-6.6+11 \\ 2z<4.4 \\ \end{gathered}[/tex][tex]\begin{gathered} Divide\text{ both sides by 2} \\ \frac{2z}{2}<\frac{4.4}{2} \\ z<2.2 \\ z<2.2 \end{gathered}[/tex]

In interval notation, we have

[tex]\left(-\infty \:,\:2.2\right)[/tex]

The answer is

[tex]\left(-\infty \:,\:2.2\right)[/tex]

13. slove for x so the [tex]f(x) = 5[/tex]

Answers

Solution

We have the following function given:

f(x) = -3x+5

And we need to do the following:

5= -3x+5

And if we subtract 5 in both sides we got:

0 =-3x

Dividing both sides by -3 we got:

[tex]\frac{0}{-3}=\frac{-3x}{-3}[/tex]

And finally we got:

x= 0

Problem 17

17) f(-2)= 3

18) f(0)= 3

19) f(1)= 0

20) f(-1)= 5.2

in the graph below line k,y=-x makes a 45 degree angle with the x and y axescomplete the following

Answers

step 1

The equation of line k is y=-x

The rule of the reflection across the line y=-x is equal to

(x,y) -------> (-y,-x)

so

we have the point (2,5)

Apply the rule

(2,5) -----> (-5,-2)

step 2

Reflection across the x axis

The rule of the reflection across the x axis is

(x,y) ------> (x,-y)

so

Apply the rule to the point (-5,-2)

(-5,-2) ------> (-5,2)

therefore

the answer is

(-5,2)

Please help me come you just tell me the answer I don’t really need you to explain

Answers

Given:

[tex]\begin{gathered} \angle JKL=65 \\ \angle KJL=50 \end{gathered}[/tex]

Sum of the angle of any triangle is 180

So:

[tex]\begin{gathered} \angle JKL+\angle KJL+\angle KLJ=180 \\ 65+50+\angle KLJ=180 \\ \angle KLJ=180-(65+50) \\ \angle KLJ=180-115 \\ \angle KLJ=65 \end{gathered}[/tex]

Then two sides are also equal.

[tex]\begin{gathered} 3x-2=x+10 \\ 3x-x=10+2 \\ 2x=12 \\ x=\frac{12}{2} \\ x=6 \end{gathered}[/tex]

So the value of x is 6.

True or false the surface area of a sphere with a radius of 10 units is larger than the surface area of a cube with edge lengths of 10 units

Answers

The surface area of a sphere is given by

[tex]S_s=4\pi r^2[/tex]

in our case r=10 units ( the radius). By substituting this value into the last formula, we have

[tex]S_s=4(3.1416)(10^2)[/tex]

which gives

[tex]S_s=1256.64u^2[/tex]

On the other hand, the surface area of a cube is given by

[tex]S_c=6L^2[/tex]

where L is the length of one side, that is, L=10. Then, we have

[tex]\begin{gathered} S_c=6\cdot(10^2) \\ S_c=6\cdot100=600u^2 \\ S_c=600u^2 \end{gathered}[/tex]

By comparing both results, we can see that the surface area of our sphere is larger than the surface area of the given cube. So the answer is TRUE.

The following circle passes through the origin. Find the equation.

Answers

Answer

(x - 2)² + (y - 2)² = 8

Step-by-step explanation

The equation of the circle centered at (h, k) with radius r is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

In this case, the center of the circle is the point (2, 2), then h = 2 and k = 2, that is,

[tex](x-2)^2+(y-2)^2=r^2[/tex]

Given that the circle passes through the center, then the point (0, 0) satisfies the above equation. Substituting x = 0 and y = 0 into the equation and solving for r²:

[tex]\begin{gathered} (0-2)^2+(0-2)^2=r^2 \\ 4+4=r^2 \\ 8=r^2 \end{gathered}[/tex]

Substituting r² = 8 into the equations, we get:

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

Hannah is saving money to buy some lirns. She invests $290 in a savings account that earns 7.6% interest, compounded annually. How much money will she have in her account after 2 years? Answer in dollars and round to the nearest cent.

Answers

Principal amount, P= $290.

Rate, r = 0.076

Time, t = 2

Therefore, the total amount in her account after 2 years is

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Hence,

[tex]\begin{gathered} A=290(1+0.076)^2 \\ =335.755 \end{gathered}[/tex]

Therefore, the amount is 335.80 dollars.

That is, 335 dollars and 80 cents.

match the function rule with the graph of the function (number 24)

Answers

It is given that the function is:

[tex]y=\frac{3}{4}\times4^x[/tex]

Therefore y=0 then the value of x will be:

[tex]\begin{gathered} 0=4^x \\ x=-\infty \end{gathered}[/tex]

Now at x=0, y will be:

[tex]y=\frac{3}{4}[/tex]

at x=1, y will be:

[tex]y=\frac{3}{4}\times4=3[/tex]

These 3 points that is (-inf,0),(0,3/4),(1,3) are on graph D.

Hence option D is coreect.

The formula for the perimeter of a
rectangle is P = 2l + 2w. Solve the formula for
w.

Answers

P = 2l + 2w

P = 2( l + w )

P/2 = 2( l + w ) /2

P/2 = l + w

answer: w = P/2 - 1

Question 37?Find the indicated function and state its domain in interval notation?

Answers

Given the functions:

[tex]\begin{gathered} f(x)=-\sqrt[]{x-3} \\ g(x)=3x \end{gathered}[/tex]

You need to multiply them, in order to find:

[tex](f\cdot g)(x)[/tex]

Then, you get:

[tex]\begin{gathered} (f\cdot g)(x)=(-\sqrt[]{x-3})(3x) \\ (f\cdot g)(x)=-3x\sqrt[]{x-3} \end{gathered}[/tex]

In order to find the Domain, you need to remember that the Domain of a Radical Function are those input values (x-values) for which the Radicand is positive. Then, in this case, you need to set up that:

[tex]x-3\ge0[/tex]

Now you have to solve for "x":

[tex]x\ge3[/tex]

Therefore:

[tex]Domain\colon\lbrack3,\infty)[/tex]

Hence, the answer is:

[tex]\begin{gathered} (f\cdot g)(x)=-3x\sqrt[]{x-3} \\ \\ Domain\colon\lbrack3,\infty) \end{gathered}[/tex]

Marco states that 7.696696669...... is a rational numberbecause it is a repeating decimal. Is he correct? Justifyyour answer.Yes he is correct because it keeps going and going and it will go on forever and ever so that is my guess

Answers

The answer is NO, Marco is wrong.

The number 7.696696669.... has not a repeating decimal there is no a number that is repeating, like 0.6969696969... in the last number the 69 is repeating, in the Marco's number the decimal number change every time.

LaVelle is making a pitcher of caffe mocha. For each ounce of chocolate syrup, she uses 5 ounces of coffee. She wants to make 48 ounces of caffe mocha.

Let c represent the number of ounces of coffee, and let s represent the number of ounces of chocolate syrup used. Which of the following systems of equations models this situation?

Answers

The systems of equations which correctly models the situation as described is;

s = 5c ands + c = 48

Which systems of equations correctly models the situation as described in the task content?

It follows from the task content that the system of equations which models the production process of caffe mocha be determined.

As given in the task content;

Let c represent the number of ounces of coffee.Let s represent the number of ounces of chocolate syrup.

Hence, since For each ounce of chocolate syrup, she uses 5 ounces of coffee, the situation can be represented algebraically as;

s = 5c.

Also, since she wants to make 48 ounces of caffe mocha; we have;

s + c = 48.

Therefore, the required system of equations is;

s = 5c ands + c = 48.

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1. Abby baked 2-dozen brownies. She took 1 dozen to her scout meeting. Her family ate 8, and she put the rest in a container in the refrigerator. How can Abby find the number of brownies left in the refrigerator?

Answers

In order to determine the amount of brownies left in the refrigerator, subtract 8 from 12.

How many brownies are left in the refrigerator?

If Abby bakes 2 -dozen brownies, she baked 24 brownies. There are 12 pieces in 1 dozen, thus if she bakes two dozens, she baked 24 brownies ( 12 x 2).

The amount of brownies left after she takes one dozen to school = amount baked - amount taken for the meeting

24 - 12 = 12

Amount left in the refrigerator : amount left after she took a dozen for the meeting - amount eaten by her family

12 - 8 = 4

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what is 2 to the 6 power

Answers

[tex]\begin{gathered} 2\text{ to the power 6 is } \\ 2^6 \end{gathered}[/tex][tex]2^6=2\times2\times2\times2\times2\times2=64[/tex]

need help please 16x=-44-4y
-8x=28+4y

Answers

Answer: (x,y)= (-2/5,-43/5)

Step-by-step explanation:

At the park there is a pool shaped like a circle. A ring-shaped path goes around the pool. Its inner radius is 7 yd and its outer radius is 9 yd.We are going to give a new layer of coating to the path. If one gallon of coating can cover 5v * d ^ 2 how many gallons of coating do we need? Note that coating comes only by the gallon, so the number of gallons must be a whole number. (Use the value 3.14 for pi.)

Answers

[tex]\begin{gathered} r=7yd \\ R=9yd \\ A=\pi(R^2-r^2) \\ A=\pi((9yd)^2-(7yd)^2) \\ A=100.5yd^2 \\ ratio=5yd^2/\text{gallon} \\ #\text{ gallon=}\frac{100.5yd^2}{5yd^2/\text{gallon}} \\ #\text{ gallon=20.1} \\ \text{21 gallons of coating are needed} \end{gathered}[/tex]

Is Ari’s answer to the question, correct? If not, where did Ari make a mistake? If his answer is incorrect, explain what the correct answer is and why it is correct.

Answers

None of Ari's answer to the question is correct. The right application of the laws of exponents to get the correct answer is explained below.

What are the Laws of Exponents?

Some of the laws of exponents can be summarized as follows.

The product law of exponents: This states that we are to add the exponents together if we are multiplying two numbers that have the same base. For example, [tex]x^m \times x^n = x^{m + n}[/tex].The division law of exponents: this states that when dividing two numbers that have the same base, we are to find the difference of their exponents. For example,  [tex]\frac{x^m}{x^n} = x^{m - n}[/tex].The negative law of exponents: This state that, [tex]x^{-m} = \frac{1}{x^m}[/tex].

Based on the above laws of exponents, none of Ari's answer is correct. Below are the correct way to solve the questions:

1. [tex]4^2 \times 4^5 = 4^{2 + 5} = 4^7[/tex]

2. [tex](2^{-5})^3 = 2^{-3 \times 5} = 2^{-15} = \frac{1}{2^{15}}[/tex]

3. [tex]\frac{(\frac{1}{4})^4 \times (\frac{1}{4})^5 }{(\frac{1}{4})^3} = \frac{(\frac{1}{4})^{4 + 5} }{(\frac{1}{4})^3} = \frac{(\frac{1}{4})^9 }{(\frac{1}{4})^3} = (\frac{1}{4})^{9 - 3}} = (\frac{1}{4})^6[/tex]

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Find the distance d(P1, P2) between the given points P1 and P2: P1 =(0,0) P2 = (2,3)d(P1,P2) = (Simplify your answer using radical as needed)

Answers

Recall that given points (a,b) and (c,d) the distance between them would be

[tex]d=\sqrt[2]{(c\text{ -a\rparen}^2+(d\text{ -b\rparen}^2}[/tex]

In our case we are given a=0,b=0,c=2,d=3. So the distance would be

[tex]d=\sqrt[2]{(2\text{ -0\rparen}^2+(3\text{ -0\rparen}^2}=\sqrt[2]{2^2+3^2}=\sqrt[2]{4+9}=\sqrt[2]{13}[/tex]

so the distance between them is the square root of 13.

The price of Stock A at 9 A.M. was ​$12.42. Since​ then, the price has been increasing at the rate of ​$0.12 each hour. At noon the price of Stock B was ​$12.92. It begins to decrease at the rate of ​$0.09 each hour. If the two rates​ continue, in how many hours will the prices of the two stocks be the​ same?

Answers

The hours when the prices of the two stocks be the same is 2.38 hours.

How to illustrate the information?

From the information, the price of Stock A at 9 A.M. was $12.42 and the price has been increasing at the rate of $0.12 each hour. This will be the expressed as 12.42 + 0.12h.

At noon the price of Stock B was $12.92. It begins to decrease at the rate of $0.09 each hour. This will be:

= 12.92 - 0.09h

where h = number of hours

Equate both equations. This will be:

12.42 + 0.12h = 12.92 - 0.09h

Collect like terms

12.92 - 12.42 = 0.12h + 0.09h

0.21h = 0.50

h = 0.50 / 0.21

h = 2.38 hours.

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Twenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follows.

Answers

Given the table that shows the number of movies and the corresponding frequency, you can determine that the total frequency is:

[tex]Total\text{ }Frequency=25[/tex]

By definition:

[tex]Relative\text{ }Frequency=\frac{Frequency}{Total\text{ }Frequency}[/tex]

By definition, the Cumulative Frequency can be obtained by adding the corresponding frequency with the previous frequencies and dividing the sum by the Total Frequency.

Therefore, you can determine that:

- For:

[tex]Frequency=3[/tex]

You know:

[tex]Relative\text{ }Frequency=\frac{3}{25}[/tex]

And:

[tex]Cummulative\text{ }Relative\text{ }Frequency=\frac{3}{25}[/tex]

- Given:

[tex]Frequency=8[/tex]

You get:

[tex]Relative\text{ }Frequency=\frac{8}{25}[/tex]

And:

[tex]Cummulative\text{ }Relative\text{ }Frequency=\frac{3+8}{25}=\frac{11}{25}[/tex]

- Given:

[tex]Frequency=9[/tex]

You get:

[tex]Relative\text{ }Frequency=\frac{9}{25}[/tex]

And:

[tex]Cummulative\text{ }Relative\text{ }Frequency=\frac{3+8+9}{25}=\frac{4}{5}[/tex]

- Given:

[tex]Frequency=4[/tex]

You get:

[tex]Relative\text{ }Frequency=\frac{4}{25}[/tex]

And:

[tex]Cummulative\text{ }Relative\text{ }Frequency=\frac{3+8+9+4}{25}=\frac{24}{25}[/tex]

- Given:

[tex]Frequency=1[/tex]

You get:

[tex]Relative\text{ }Frequency=\frac{1}{25}[/tex]

And:

[tex]Cummulative\text{ }Relative\text{ }Frequency=\frac{3+8+9+4+1}{25}=\frac{25}{25}=1[/tex]

Hence, the answer is:

Which statements describe one of the transformations performed on f(x) = x?to create g(x) - 3(x + 5)2 - 2? Choose all that apply.DA. A translation of 2 units to the leftI B. A vertical stretch with a scale factor of 3O C. A vertical stretch with a scale factor of3O D. A translation of 5 units to the left

Answers

Solution:

The Function transformation of f(x) is:

[tex]g(x)=f(x+c)+d[/tex]

If c > 0, then the graph shift left f(x+c).

If c<0, then the graph shift right f(x-c)

If d > 0, then the graph shift up f(x) +d

If d < 0, then the graph shift down f(x) -d

When the given equation is:

[tex]f(x)=x^2[/tex]

The transformation equation is given:

[tex]g(x)=3(x+5)^2-2[/tex]

Then, the graph shifts down 2 units and shifts left 5 units.

Also, the vertical stretch with a scale factor 3.

Therefore, the correct options are B and D.

Solve the following inequality: 6p - 15 < 33

Answers

WE are to solve an inequality, so we proceed to isolate the variable "p" on one side of the inequality symbol:

6 p - 15 < 33

we add 15 to both sides:

6 p < 33 + 15

6 p < 48

now divide both sides by 6 (notice that since 6 is a positive number, the division doesn't change the direction of the inequality)

p < 48/6

p < 8

So we need to highlight on the number line, the line that starts at "8" and goes all the way to the left (to minus infinity), and make sure that at the point "8" you draw an "empty" circle to indicate that the number 8 itself is NOT included in your set of solutions.

Which point is part of the solution of the inequality y ≤ |x+2|-3A.(-1,-1)B.(1,0)C.(0,0)D.(0,1)

Answers

We are going to test all options to see which is true and false.

The one that is true will be the point that is part of the solution.

[tex]\begin{gathered} A) \\ (-1,-1) \\ y\leq\lvert x+2\rvert-3 \\ -1\leq\lvert-1+2\rvert-3 \\ -1\leq\lvert1\rvert-3 \\ -1\leq1-3 \\ -1\leq-2 \\ \text{Not true, so the point (-1,-1) is not a part of the solution} \end{gathered}[/tex]

We will move to the next option and test:

[tex]\begin{gathered} B) \\ (1,0) \\ y\leq\lvert x+2\rvert-3 \\ 0\leq\lvert1+2\rvert-3 \\ 0\leq\lvert3\rvert-3 \\ 0\leq3-3 \\ 0\leq0 \\ \text{The above solution is true, so it is a point that is part of the solution.} \\ \text{The correct answer is option B.} \end{gathered}[/tex]

3. Define and find the value of the central angle theinscribed angle, and the arc associated with both.Central angle:namemeasureInscribed angle:namedoYmeasureArc:namemeasure

Answers

Given

Answer

Central angle

Name XOY

Measure 90

Inscribed angle

name XZY

Measure 45

Arc

name XY

Measure = circumference of circle/4

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