Vanessa buys a strip of 25 postage stamps. The strip of stamps is 21 7/8 inches long. How long is a strip after Vanessa uses 1 stamp?

Step 1. Take out the constants

3/9 y^2y^4

Step 2. Simplify 3/9 to 1/3

1/3 y^2y^4

Step 3. Simplify

y^2y^4/3

Step 4. Use the Product Rule

y^2 + 4/3

Step 5. Simplify 2 + 4 to 6

y^6/3

p^2+6p+9=0

The discriminant of a quadratic is the expression inside the radical of the quadratic formula.

b^2−4(ac)

Substitute in the values of

a, b, and c.

6^2−4(1⋅9)

Evaluate the result to find the discriminant.

36-4(9)

36-36

0

The discriminant of the quadratic equation p²+6p+9=0 is zero, suggesting that it has exactly one real, repeated solution.

The discriminant of the quadratic equation p²+6p+9=0 is calculated using the formula D=b²-4ac, where a, b, and c are the coefficients of the quadratic equation ax²+bx+c=0. In this equation, a=1, b=6, and c=9. Substituting these values into the discriminant formula gives us:

D = b² - 4ac

D = (6)² - 4(1)(9)

D = 36 - 36

D = 0

The discriminant is zero, which indicates that the quadratic equation has one real, repeated solution, meaning the parabola touches the x-axis at a single point.

Answer:

c

Step-by-step explanation:

The correct answer is [tex]y=3x-8[/tex] as shown by the green line on the graph attached to this answer.

9)

[tex]\frac{24z^{5}y^{4}}{3z^{-2}y^{5}} = \frac{24}{3}*\frac{z^{5}}{z^{-2}}*\frac{y^{4}}{y^{5}} = \frac{8}{1} *\frac{z^{5+2}}{1}*\frac{1}{y^{5-4}} = \frac{8z^{7} }{y}[/tex]

11)

(a²b)³ = a²⁽³⁾b¹⁽³⁾ = a⁶b³

12)

The exponent tells you how many places to move the decimal. The positive/negative sign tells you which direction to move the decimal (negative is left, positive is right).

8.4 x 10⁻⁵ move the decimal 5 places to the left   =  0.000084

Hanna walks a total of 3 1/6 miles before and after school.

To find how many miles Hanna walks before and after school, we can add the distances she walks to school and to work.

Distance to school = 1 2/3 miles

Distance to work = 1 1/2 miles

To find the total distance Hanna walks before and after school, add the two distances:

Total distance = 1 2/3 + 1 1/2

To add these fractions, we need to convert them to have a common denominator, which is 6:

1 2/3 = (3/3 + 2/3) = 5/3

1 1/2 = (3/2)

Now, we can add the fractions:

Total distance = 5/3 + 3/2

To add these fractions, we need to have a common denominator, which is 6:

Total distance = (5/3) * (2/2) + (3/2) * (3/3)

Total distance = 10/6 + 9/6

Now, add the fractions:

Total distance = 19/6

We can simplify this fraction:

Total distance = 3 1/6 miles

So, Hanna walks a total of 3 1/6 miles before and after school.

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5:00 practice - 20 minute walk - 60 minutes in science lab - 10 minutes to get ready for the lab.

5:00 - 90 minutes

3:30 for class end time

The answer is C.37.41

$60

$45 is 75% of the original price. 75/3 is 25, so divide 45/3=15. $15 is 1/4 of the original price. 15*4=60

The original price of the pair of shoes is $60.

To find the original price of a pair of shoes, we can use the given information that the sale price is $45 after a 25% discount.

Let's assume the original price of the shoes is "x" dollars.

The discount of 25% means that the sale price is equal to 75% (100% - 25%) of the original price.

Mathematically, we can express this as:

Sale price = Original price * (Discount percentage in decimal form)

$45 = x * (0.75)

To find the original price (x), we divide both sides of the equation by 0.75:

$45 / 0.75 = x

x = $60

Therefore, the original price of the pair of shoes is $60.

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Ugh, I hate FLVS. I'm not exactly sure, but i know that 2 to the 12 power is 24, and 2 to the fourth power is 8. Sorry I'm not being very helpful.

To determine the number of 5-inch pieces of ribbon that can be obtained from a 65-inch ribbon, divide the total length by the length of each piece. So, 13 students can each get a 5-inch piece of ribbon from the 65-inch ribbon.

To determine how many 5-inch pieces of ribbon can be obtained from 65 inches of ribbon, we divide the total length of the ribbon by the length of each piece. So, we divide 65 by 5:

Therefore, 13 students can each get a 5-inch piece of ribbon from the 65-inch ribbon.

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$78

$65x.20=13

65+13=$78

C.

Combine like terms when adding f(x) and g(x) 2x^2 + x^2 and 1 + (-7) = 3x^2 - 6

Max cost of 15 bats = 15 x 35 = $535

Min cost of 15 bats = 15 x 20 = $300

Max cost of 12 gloves = 12 x 60 = $720

Mix cost of 12 gloves = 12 x 30 = $360

Min total cost = 360 + 300 = $660

Max total cost = 535 + 720 = $1255

The range is from  $660 to $1255

=============> Answer (A) is out of the range

To solve the equation x²−12x=−6, Lamar should first move the constant to the other side and complete the square, leading to x = 6 ±√30. This equation, which is a type of quadratic or second-order polynomial, may have two solutions, a typical characteristic of such equations.

The equation presented is x²−12x=−6. To solve this equation by completing the square, we first move the constant term to the other side, which leads to x² - 12x = -6, or x² - 12x + 36 = -6 + 36. We added 36 on both sides because (12/2)² = 36, which is a step in completing the square for the equation. Thus, we have (x-6)² = 30. Now, solve for x: x - 6 = ±√30, so x = 6 ±√30.

This method, known as completing the square, is a typical approach to solving quadratic equations. The general quadratic equation ax²+bx+c = 0 can also be solved using the quadratic formula -b ± √(b² - 4ac) / 2a. With both methods, remember that a quadratic equation will usually have two solutions, as it is a second-order polynomial.

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It's B)

Sorry... I was late

Answer:

-7m - 8 = m - 4

Step-by-step explanation:

Our original equation is

-2m - 5m - 8 = 3 + (-7) + m

Combining like terms on the left, we have

-7m - 8 = 3 + (-7) + m

Combining like terms on the right, we have

-7m - 8 = -4 + m

Writing the equation with the variable first on the right hand side, we have

-7m - 8 = m - 4

We can round 29 up to 30, and 309 up to 310. This gives us a rough estimate of about  9,300.

Positive, 72 minus negative 9 is the same thing as 72+9, which equals 81. So the answer is positive

Solution: The numerical expression is [tex]8\times (9+11.3)[/tex] and the value of this expression is 162.4.

Explanation:

The sum of 9 and 11.3 is written as [tex](9+11.3)[/tex].

The product of 8 means the expression should multiply by 8.

According to the given information the the product of 8 and the sum of 9 and 11.3 is written as [tex]8\times (9+11.3)[/tex].

To evaluate the value of the expression first we have to add 9 and 11.3 after that multiply the result by 8.

[tex]8\times (9+11.3)=8\times (20.3)\\8\times (9+11.3)=162.4[/tex]

Therefore, the numerical expression is [tex]8\times (9+11.3)[/tex] and the value of this expression is 162.4.

Answer:

162.4

Step-by-step explanation:

To write the numerical expression for the product of 8 and the sum of 9 and 11.3 we need to follow these steps:

Sum of 9 and 11.3 is given as follows:

[tex](9+11.3)[/tex]

Now the product of 8 and the sum of 9 and 11.3 is:

[tex]8(9+11.3)[/tex]

So the required expression is:

[tex]8(9+11.3)[/tex]

Solving the above expression we get:

[tex]8(9+11.3)=8(20.3)=8 \times 20.3=162.4[/tex]

Isolate the p. Note the equal sign. What you do to one side, you do to the other. Multiply 7/6 to both sides

(-2)(7/6) = (6/7)(7/6)p

p = (-2)(7/6)

Multiply -2 and 7, then divide by 6

p = (-2 x 7)/6

p = -14/6

Divide

p = ~-2.33 (rounded)

-2.33 is your answer

hope this helps

Hello there!

[tex]-2=6/7p\\[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓↓

First you had to switch sides.

[tex]\frac{6}{7}p=-2[/tex]

Then you multiply by 7 from both sides of the equation.

[tex]7*\frac{6}{7}p=7(-2)[/tex]

Simplify

[tex]6p=-14[/tex]

Divide by 6 from both sides of the equation.

[tex]\frac{6p}{6}=\frac{-14}{6}[/tex]

Simplify it should be the correct answer.

[tex]p=-\frac{7}{3}[/tex]

Answer⇒⇒⇒⇒⇒p=-7/3

Hope this helps!

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Have a great day!

-Charlie

So she pays 6 lb of chicken for $39 then $39/6 = $6.30 is the price per pound.

11lb + 6lb = 17lb total of  chicken then multiply it by the price per pound

17($6.50) = $110.50

Final answer:

Stacey will pay $71.50 for 11 more pounds of chicken.

Explanation:

To figure out how much Stacey will pay for 11 more pounds of chicken, we can use the given information that she bought 6 pounds of chicken for $39.

Therefore, Stacey will pay $71.50 for 11 more pounds of chicken.

Hi, here is the solution...

Part B)

The Navy Pier Ferris has the circumference is 56% of the circumference of the first Ferris wheel.

The Navy Pier Ferris Circumference = 439.6 feet

Let's assume "x" be circumference of first Ferris wheel.

56% of x = 439.6

0.56 x = 439. 6     [56% = 0.56]

x = 439.6/0.56

x = 785.

Therefore, the circumference of the first Ferris wheel is  785.

It is diameter = 785/3.14 = 250 feet

So it is radius = 250/2 = 125 feet.

Part C)

The circumference = 785 feet

Speed = Distance/Time

Speed = 785/9

Speed = 87.2 feet per minute.

That's it. Hope you will understand the steps.

Thank you. :)

to solve  for the dimensions (x+7)(x+2)=66,

we can first use the foiling method to simplify the left side.

x^2 + 2x + 7x + 14 = 66

x^2 + 9x + 14 = 66

now, subtract 66 from both sides.

x^2 + 9x - 52 = 0

now, split this into two parentheses.

(x + 13)(x - 4)

since the root of -13 would give you negative values, x=4. This means that the dimensions of the rectangle are 11 and 6.

The dimensions of the rectangle is 11 by 6 inches

The dimensions are given as:

x + 7 and x + 2

The area is given as:

Area = 66

The area of a rectangle is:

Area = Length * Width

So, we have:

(x + 7) * (x + 2) = 66

Express 66 as 11 * 6

(x + 7) * (x + 2) = 11 * 6

By comparison, we have:

x + 7 = 11 and x + 2 = 6

Solve for x

x = 4 and x = 4

Substitute 4 for x in x + 7 and x + 2

x + 7 = 4 + 7 = 11

x + 2 = 4 + 2 = 6

Hence, the dimensions of the rectangle is 11 by 6 inches

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7x+9

5x+2x= 7x

5+4=9

7x + 9 is the result when combining like terms.

Answer:

7x+9

Step-by-step explanation:

Add the numbers

5x + 4 + 2x + 5

5x+9+2x

Combine like terms

5x+9+2x

7x+9

Solution:

7x+9