A piggy bank contains only nickels, dimes, and quarters. There is a total of 105 coins and the total value of those coins is $10.75. Find a general solution of the number of each coin. List three possible specific solutions.

Answer:

Step-by-step explanation:

f(-2)=g(-2) is correct.

at x=-2,f(x)=4,g(x)=4

so f(-2)=g(-2)

Answer:

VX = 4n +7

explanation:

the equation is VX = n + 7 + 3n, all you need to do is add the n variables and get VX = 4n + 7.

Answer:

21

Step-by-step explanation:

n+7=3n ⇒ 2n=7 ⇒ n= 3.5

VX= 2*(n+7) = 2*(3.5+7)= 21

in case you need

WY= 2*(4n+1)= 2*(4*3.5+1)= 30

Answer:

Step-by-step explanation:

So that the denominator is a real number. I know that doesn't sound like a good reason, but it is the reason mostly by convention. You don't want complex i's floating all over the answer. There should be just one i.

Answer:

You have to multiply by the complex conjugate because the denominator has to be a real number. By multiplying the complex conjugate you can transform the denominator in to a real number.

Answer:

x = 24

Step-by-step explanation:

The triangles are similar so we can use ratios to solve

x             6

------ = -----------

x+8         8

Using cross products

8x = 6*(x+8)

8x = 6x+48

Subtract 6x from each side

8x-6x = 48

2x = 48

Divide by 2

2x/2 = 48/2

x = 24

Answer:

x = 24

Step-by-step explanation:

Very similar to the previous problems of this type, these two triangles have a shared angle A and both have a right angle, prove AA similarity.

From there, we can set up a ratio:

(x+8)/x = 8/6

Multiply both sides by x:

x+8 = 8x/6

Multiply both sides by 6:

6x+48 = 8x

Move the 6x to the right:

48 = 2x

Divide both sides by 2:

x = 24

The answer is: [tex]y=-x^2[/tex].

Hope this helps.

Answer:

The correct option is;

Perpendicular line through a point off a line

Step-by-step explanation:

Based on the markings in the diagram, we have;

Marking points E and F along AB extended forms two points equidistant from the point C on the line AB

Construction of the line HI by using equal arc lengths from E and F creates two points equidistant from E and F on either side of the line AB such that HI passes through C forming a perpendicular bisector from C to AB.

Therefore, a perpendicular line has been constructed from the point C off the line AB to the line AB

Hence the correct option is the construction of a perpendicular line through a point off a line.

Answer:

D.

Step-by-step explanation:

If you substitute (0,0) then the inequality is not true in both cases. This accounts for answer D.

Answer:

1 or 2

Step-by-step explanation:

2 if you write really small but otherwise 1 idea on 1 side of a notecard.

the answer should be 49mm

28*7 / 4 = 49

Answer:49mm

Step-by-step explanation:

Answer:

Slope = 1/5 y intercept=-8

Step-by-step explanation:

We can use sloper intercept form to find the answer

Answer:

Step-by-step explanation:

 Slope = 0.400/2.000 = 0.200

 x-intercept = 40/1 = 40.00000

 y-intercept = -40/5 = -8

Answer:

90

Step-by-step explanation:

If there is a straight line and 1 angle is 90 degrees, the angle next to it is also 90 degrees.

Answer:

x = 90°

Step-by-step explanation:

Since x and 90° share the same straight line, they are supplementary, meaning they must add up to 180°. Hence x must be 180-90 = 90.

Answer:

B. 4

Step-by-step explanation:

Rearrange the equation so that is in the form (ax² + bx + c = 0).

6x² - 3x + 36 = 5x² + 10x

x² - 3x + 36 = 10x

x² - 13x + 36 = 0

Now, factor the equation and solve for x.

x² - 13x + 36 = 0

(x - 4)(x - 9) = 0

x - 4 = 0

x = 4

x - 9 = 0

x = 9

The solutions to the equation are 4 and 9.  The correct answer choice is B.

Answer:

The answer B.4

Step-by-step explanation:

Arrange the equation so that is in the form

(ax² + bx + c = 0).

6x² - 3x + 36 = 5x² + 10x

x² - 3x + 36 = 10x

x² - 13x + 36 = 0

the equation and solve for x.

x² - 13x + 36 = 0

(x - 4)(x - 9) = 0

x - 4 = 0

x = 4

x - 9 = 0

x = 9

Answer:

2 UNITS

Step-by-step explanation:

Answer:

y = 4x + 26

Step-by-step explanation:

There are lots of different methods to do these types of questions, but this is the way i like to do it.

Coordinate (x1, y1) : (-5, 6) and Gradient (m): 4

Start with this generic equation:

y- y1 = m(x-x1)

Substitute in the values they have given you:

y - 6 = 4(x-(-5))

This becomes:

y - 6 = 4 (x+5)

y - 6 = 4x + 20

Keep solving by moving the 6 over to the other side:

y = 4x + 20 + 6

y = 4x + 26

An easy way to double check:

1) the coefficient of x is the slope. We got 4x, and the slope is 4, so that's correct.

2) Substitute x=-5 into the equation, and we get 6, which is the exact coordinate that they gave us. This is also right.

Hope this helped : )

Answer:

5

Step-by-step explanation:

first you do 11 divided by 5

then you multiply it by 2

which gives you 4.4

the closest number is 5

correct me if i am wrong

Answer:

H. 22

Step-by-step explanation:

- The car travels 11 inches every 5 seconds, so in one second it travels:

11 inches / 5 seconds = 2.2 inches/second

- In 2 minutes (120 seconds), the car travels:

2.2 inches/second * 120 seconds = 264 inches

- To convert inches to feet, we can divide by the number of inches in a foot:

264 inches / 12 inches/foot = 22 feet

Answer:

1.5442%

Step-by-step explanation:

Answer: A

Step-by-step explanation:

6x + 12x + 90 = 180

18x + 90 = 180

        -90      -90

18x =90

x= 5

6(5) + 12(5) + 90 = 180

30 + 60 + 80 = 180

180= 180       It makes sense that it is A because there is one right angle which has a measure of 90 degrees and the other one have two measures 6x and 12x  and both of them have to also equal  90 degrees. So 90 pluse 6x plus 12x has to equal 180 because they all lie on a straight line and a straight line has an angle measure of 180 degrees.

Answer:a

Step-by-step explanation:

Answer: 960

Step-by-step explanation: all you have to do to find the volume is 10*8*12, which would be 960, so the cubic volume is 960.

Answer:

2 seconds to reach maximum height

Step-by-step explanation:

A:  10x + 8 = 3(x – 2)

     10x + 8 = 3x – 6

     7x =  – 14

     x = -2

Step 1 : Multiplying 3 with -2, we get -6

Step 2 : Subtract -6 and 8 , we get -14

Step 3 : We get x = -2

"An equation is a formula that expresses the equality of two expressions, by connecting them with the equal sign. Solving an equation containing variable consists of determining which values of the variables make the equality true."

Given equation

10x + 8 = 3(x – 2)

In this step by multiplying 3 with -2, we get -6

10x + 8 = 3x - 6

Subtract the variables

Subtract -6 and 8 , we get -14

7x = -6 - 8

7x = -14

Divide with 7 on both sides, we get

x = -2

Hence these are the following steps to get x = -2

Step 1 : Multiplying 3 with -2, we get -6

Step 2 : Subtract -6 and 8 , we get -14

Step 3 : We get x = -2

Learn more about equation here

https://brainly.com/question/3971275

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Answer:

a. 100usd{99.30487yen/1usd}

Answer:

2

Step-by-step explanation:

If the value of the discriminant is positive, there are two real solutions for x, meaning the graph of the solution has two distinct x-intercepts

Here 25 is positive discriminant, hence the function will have 2 x - intercepts

Answer:

60

Step-by-step explanation:

2x+5+x-5=180

add the common things

3x=180

divide stuff

x=60

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Hey!!

Solution,

2x+5+x-5=180( sum of co-interior angles)

or,2x+x-5+5=180

or,3x=180

or,X=180/3

X=60

The value of X is 60

hope it helps

Good luck on your assignment

Stay safe..

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Answer:

B) one solution

Step-by-step explanation:

The blue line and the red line cross at only one point so there is one solution. It would be no solution if the blue line never crossed the red line and it would be two or possibly more solutions if the lines crossed more than once.

Answer:

3

Step-by-step explanation:

Answer:

D 1,400

Step-by-step explanation:

Species A doubles every 2 days and species B doubles every 5 days, so in 10 days, species A will double 10/2 = 5 times and species B will double 10/5=2 times. After 10 days from an initial population of 50 in each species, species A will have 50 x 2 ^5= 50 x 32 = 1,600 population while species B will have 50 x 2 ^2 = 200 population. Their difference is 1,600-200 = 1,400.

Answer:

40/42 = 20/21

Step-by-step explanation:

Answer:

[tex]\frac{20}{21}[/tex]

Step-by-step explanation:

To divide fractions, multiply by the reciprocal. Therefore:

[tex]\frac{5}{6} / \frac{7}{8} = \frac{5}{6} * \frac{8}{7}[/tex]

Solve by multiplying the fraction with the reciprocal:

[tex]\frac{5}{6} *\frac{8}{7}= \frac{5*8}{6*7} = \frac{40}{42}[/tex]

Simplify:

[tex]\frac{40}{42} = \frac{20}{21}[/tex]. This is your answer!

Answer:

56 euros

Step-by-step explanation:

3=24

7=x

7 x 24=56

Answer:

B.

Step-by-step explanation:

Just find which side C is opposite to.

In this case, it is opposite to AB