A collection of nickels and quarters is worth 2.85 . There are 3 more nickels than quarters how many nickels and quarters are there

answer=2X8+3X5=16+15=31

Isolate the x. Note the equal sign. What you do to one side, you do to the other. First, add 1/3y to both sides

8x - 1/3y (+1/3y) = 15 (+1/3y)

8x = 15 + 1/3y

Divide 8 from both sides

(8x)/8 = (15 + 1/3y)/8

x = 15/8 + 1/24y

x = 1/24y + 1.875

x = 1/24y + 1.875 is your answer

hope this helps

40 mins is the answer

10 mins-4

20mins-8

30mins-12

40mins-16

Answer:

a)  8x^2 + 4x + 9

Step-by-step explanation:

To find the total number of red and pink geranium pots, we need to add the two expressions given for the number of pots for red and pink respectively.

x (7x - 2) + (x + 3)^2

Expanding x (7x - 2) gives (7x^2 - 2x)

Expanding (x + 3)^2 gives (x^2 + 6x + 9)

Adding the like terms in these two expanded expressions:

(7x^2 - 2x) + (x^2 + 6x + 9)

= 7x^2 + x^2 + 6x - 2x +9

8x^2 + 4x + 9

Answer:

A greenhouse that specializes in growing geraniums is divided into sections. The number of geranium pots in each section depends on the number of sprinklers in that section.

There are x(7x − 2) pots of red geraniums and (x + 3)^2 pots of pink geraniums in a section with x sprinklers.

Which simplified expression represents the total number of red and pink geranium pots in a section with x sprinklers? (5 points)

a

8x^2 + 4x + 9

b

8x^2 + 6x + 9

c

8x^2 + 6x + 7

d

8x^4 + 4x^2 + 9

Is that what you mean,  Jalenschaefer12? The way you had it made it confusing. If you want to do an exponent just do the carat sign (^), then a number, for example 4^22.

First answer is  DE≅ EF

Second answer is DE=EF by the ''segment congruence postulate''

Third answer is DE * EF + DF by the ''segment addition postulate''

The fourth answer is  DE + DE = DF

Good luck!!!

Using complex numbers, you can have negative squares, since [tex] i^2=-1 [/tex]

So, you can find the solutions to

[tex] x^2+20=0 \iff x^2 = -20 \iff x=\pm\sqrt{-20}=\pm i \sqrt{20}=\pm 4i\sqrt{5} [/tex]

So, using the factorization [tex] (x-x_1)(x-x_2) [/tex] where [tex] x_{1,2} [/tex] are the roots of the quadratic equation, you have

[tex] x^2+20 = (x-4i\sqrt{5})(x+4i\sqrt{5})[/tex]

This expression can't be further factorized, because all terms have degree 1.

To factor the expression x^2 + 20 over the complex numbers, we can use the quadratic formula or complete the square.

To factor the expression x^2 + 20 over the complex numbers, we can use the quadratic formula or complete the square.

Using the quadratic formula, we start by finding the values of x that satisfy the equation x^2 + 20 = 0.

The quadratic formula is given by: x = (-b ± √(b^2 - 4ac)) / (2a).

In this case, a = 1, b = 0, and c = 20. Substituting these values into the quadratic formula, we get: x = ± √-20.

Since we are factoring over the complex numbers, we can express the solution as: x = ± √20i.

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x^2 - 3(x^2 + 3x - 1)

Distributive property.

x^4 + 3x^3 - x^2 - 3x^2 - 9x + 3

Combine like terms.

x^4 + 3x^3 - 4x^2 - 9x + 3

ANSWERS

Find out the how many weeks will it take for Mary and Joe to have the same amount saved.

To proof

Let us assume that the number of week take for Mary and Joe to have the same amount saved be x.

As given

Mary start with $10 and earns $10 each week mowing lawn.

Joe already has $20 from birthday gifts and earns five dollars a week pulling weeds.

than the equation

10 + 10x = 20 +5x

5x = 10

x = 2 weeks

therefore 2 weeks will it take for Mary and Joe to have the same amount saved.

Hence proved

The vertex of the function corresponds to the maximum velocity of the particle.

The vertex of a function corresponds to the maximum or minimum value of the function. In this case, the vertex corresponds to the maximum velocity of the particle. The maximum velocity occurs when the slope of the velocity function is zero, which is the point where the acceleration function crosses the x-axis.

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To find the cost of each concert ticket for a family of four, divide the total cost, $104, by the number of tickets, which is 4. The resulting cost per ticket is $26.

The student is asking for help with a simple division problem. A family purchased concert tickets for a total of $104, and we know there are four tickets purchased since it's a family of four. To find the cost of each ticket, we have to divide the total cost ($104) by the number of tickets (4).

Step-by-Step Solution:

Determine the total spent: $104.

Determine the number of tickets: 4.

Calculate the cost per ticket: $104 ÷ 4 = $26.

Therefore, the cost of each concert ticket was $26.

I know that i had it on a test its -2.11 Hope you ace it!

-2.11 hope this helps

Answer:

Refer below

Step-by-step explanation:

a) a and b are the lower and higher values of the interval for which uniform distribution is defined.

Here a= 6 and b =10

b) Mean of the uniform distribution= (a+b)/2 = (6+10)/2 =8

Or int x (1/4) dx = x^2/8 = 8

c) Variance of the uniform distribution = (b^2-a^2)/12 = (100-64)/12

= 36/12 =3

Std dev = sq rt of 3 = 1.732

d) To find total area

PDF of the distribution = 1/(b-a) = 1/4, 6<x<10

Area = \int 6 to 10 of 1/4 dx

= x/4

Subtitute limits

= (10-6)/4 =1

So total area = 1

d)P(X>7) = int 7 to 10 of 1/4 dx = 3/4

e) P(7<x<9) = Int 7 to 9 of 1/4 dx = 2/4 = 1/2

Probabilities are used to determine the chances of events

The values of a and b

The interval is given as 6 to 10.

So, the values of a and b are 6 and 10, respectively.

The mean

For a uniform distribution, the mean is:

[tex]\bar x = \frac{a + b}{2}[/tex]

So, we have:

[tex]\bar x = \frac{6 + 10}{2}[/tex]

[tex]\bar x = 8[/tex]

Hence, the mean is 8

The standard deviation

For a uniform distribution, the standard deviation is:

[tex]\sigma = \sqrt{\frac{b^2 - a^2}{12}}[/tex]

So, we have:

[tex]\sigma = \sqrt{\frac{10^2 - 6^2}{12}}[/tex]

[tex]\sigma = 2.31[/tex]

Hence, the standard deviation is 2.31

The total area

This is calculated as:

[tex]A = \int\limits^b_a \frac{1}{b - a}\ dx[/tex]

So, we have:

[tex]A = \int\limits^{10}_6 \frac{1}{10 - 6}\ dx[/tex]

[tex]A = \int\limits^{10}_6 \frac{1}{4}\ dx[/tex]

Factor out 1/4

[tex]A = \frac{1}{4}\int\limits^{10}_6 \ dx[/tex]

Integrate

[tex]A = \frac{1}{4} * x|\limits^{10}_6[/tex]

Expand

[tex]A = \frac{1}{4} * (10 - 6)[/tex]

[tex]A = 1[/tex]

Hence, the total area of the distribution is 1.00

The probability of a value more than 7

This is calculated as:

[tex]P(x > 7) = \frac{1}{4} * x|\limits^{10}_7[/tex]

Expand

[tex]P(x > 7) = \frac{1}{4} * (10 - 7)[/tex]

[tex]P(x > 7) = 0.75[/tex]

Hence, the probability of a value more than 7 is 0.75

The probability of a value between 7 and 9

This is calculated as:

[tex]P(7 < x < 9) = \frac{1}{4} * x|\limits^9_7[/tex]

Expand

[tex]P(7 < x < 9) = \frac{1}{4} * (9 - 7)[/tex]

[tex]P(7 < x < 9) = 0.50[/tex]

Hence, the probability of a value between 7 and 9 is 0.50

Read more about probability at:

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Answer:

Given equation is:

x/4 = 16

Multiply both side of equation by 4

4* x/4 = 16*4

x= 64

Step-by-step explanation:

This is called Multiplication property of Equality.

If you multiply equation by a number on both sides, it remain same or balance.

The equation x/4 =16 is solved by multiplying both sides by 4, resulting in x = 64. This action is justified by the Multiplication Property of Equality.

To solve the equation x/4 =16, the action one would use is to multiply both sides of the equation by 4. This operation will isolate the variable 'x'.

Your equation would thus be transformed as: 4 * (x/4) = 16 * 4. This simplifies to x = 64.

The property that justifies this action is the Multiplication Property of Equality, which states that multiplying both sides of an equation by the same non-zero number does not change the equality.

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Answer: C

Step-by-step explanation:

A) not completely factored because 2 can be factored out of 2x + 4

B)  not completely factored because 3 can be factored out of 3x - 9

C) CORRECT

D) not factors because the terms are added instead of multiplied

Thus, (x - 2) + (x + 3) is not a quadratic equation. Then A, B, and C are the quadratic equation.

It is a polynomial of maximum power 2. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

A.  (2x + 4)(x - 3)

On multiplying

2x² - 2x -12

B.  (x - 1)(3x - 9)

On multiplying

3x² -12x + 9

C.  (x + 4)(x - 3)

On multiplying

x² + x - 12

D.  (x - 2) + (x + 3)

On multiplying

2x + 1

Thus, (x - 2) + (x + 3) is not a quadratic equation. Then A, B, and C are the quadratic equation.

More about the quadratic equation link is given below.

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Answer:

The correct option is A.

Step-by-step explanation:

The vertex form of a parabola is

[tex]y=a(x-h)^2+k[/tex]          ..... (1)

Where, (h,k) is vertex and a is a constant.

From the given graph it is clear that the vertex of the graph is (3,-7) and y-intercept is (0,2).

Substitute h=3 and k=-7 in equation (1).

[tex]y=a(x-3)^2-7[/tex]

The y-intercept is (0,2). So, substitute c=0 and y=2 in the above equation to find the value of a.

[tex]2=a(0-3)^2-7[/tex]

[tex]2+7=a(3)^2[/tex]

[tex]9=9a[/tex]

Divide both sides by 9.

[tex]1=a[/tex]

The value of a is 1.

Substitute a=1, h=3 and k=-7 in equation (1).

[tex]y=1(x-3)^2-7[/tex]

[tex]y=x^2-6x+9-7[/tex]

[tex]y=x^2-6x+2[/tex]

The equation of the parabola is [tex]y=x^2-6x+2[/tex].

Therefore the correct option is A.

The number of different license plates that can be made is 63,273,600 and the probability of getting a plate with abc123 or 123abc is 1/2,808,000.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

A license plate has six characters. Three characters are letters, two characters are numbers (0-9), and one character is a letter or a number.

Total letters = 26

Total numbers = 10

As the repetitions are allowed.

Number of ways = 26×26×26×10×10×(26+10)

N=63,273,600 Ways

P(abc123 or 123abc) = P(abc123)+P(123abc) - P(abc123 and 123abc)

The intersection of abc123 and 123abc is zero because both license plates are not possible at a time

P(ABC123 or 123ABC)=P(ABC123)+P(123ABC)

[tex]\rm P=\dfrac{1}{26}\dfrac{1}{25}\dfrac{1}{24}\dfrac{1}{10}\dfrac{1}{9}\dfrac{1}{8} + \dfrac{1}{10}\dfrac{1}{9}\dfrac{1}{8}\dfrac{1}{26}\dfrac{1}{25}\dfrac{1}{24}[/tex]

P= 2/5616000

or

P = 1/2,808,000

Thus, the number of different license plates that can be made is 63,273,600 and the probability of getting a plate with abc123 or 123abc is 1/2,808,000.

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D

a direct linear variation equation has the form f(x) = kx

f(x) = x - 12 is not in this form thus does not show a direct linear variation

Algebraically, you have to factor the square root of 7 to see why you're wrong:

[tex] 3\sqrt{7}-\sqrt{7} = \sqrt{7}(3-1) = 2\sqrt{7} [/tex]

Conceptually, think that any object - say an apple - represents the square root of seven.

So, you have three apples, and you take away one apple. You have two apples remaining, i.e. [tex] 2\sqrt{7} [/tex]

[tex]3\sqrt{7} - \sqrt{7}[/tex]

Let x represent [tex]\sqrt{7}[/tex], then you can rewrite the expression as 3x - x.

3x - x = 2x.  Now replace "x" with  [tex]\sqrt{7}[/tex] and you get 2[tex]\sqrt{7}[/tex].

The reason 3 is incorrect is because you are supposed to perform the operation (+, -, x, ÷) with the coefficients, not with the variable or radical.

Answer:

6:8, 9:12

Step-by-step explanation:

Answer:

6:8 9:12

Step-by-step explanation:

same here bro, god loves you

Answer:

A) x + 0

Step-by-step explanation:

In triangle ABC, the coordinates are: A(1, -1), B(1, -5) and C(4, -5)

In triangle A'B'C', the coordinates are: A(1, -5), B(1, 1) and C(4, 1)

Look at the x-coordinates in both the triangles remains the same because the triangles are reflected over x-axis, therefore, only the y-coordinate changes.

Therefore, the rule for x-coordinates = x + 0

Answer: A) x + 0

Hope this will helpful.

Thank you.

Answer:a

Step-by-step explanation:

Answer:

The answer is 72.578 :))

Step-by-step explanation:

I got it right in my exam

That triangle has a horizontal base with y=2.  The length of that base is RS=1-(-4)=1+4=5.  The height of the triangle is the vertical distance  from line y=2 to T(-5,-4).  That height is  2-(-4)=2+4=6.  The area of the triangle is  base * height/2 = 5*6/2= 15

The answer is 15 units ^2

Answer:

The answer is 15 units².

Step-by-step explanation:

I am a hundred percent sure. I did the math and got it right on my test.

Final answer:

A division equation that has a solution of -20 can be written by dividing a negative number by a positive number, such as -100 divided by 5.

Explanation:

To write a division equation with a solution of -20, you can choose any two numbers such that the division of one number by the other equals -20. For example, if we take -100 and divide it by 5, we get -20 as the solution. Thus, a sample division equation could be:

-100 / 5 = -20.

This is because when you divide a negative number by a positive number, the result is negative, and -100 \/ 5 leads to the desired solution of -20.