For Thanksgiving, a family of 9 is trying to share 4 store-bought pies fairly. If each pie is pre-cut into 8 slices, and everyone gets the same number of slices, how many slices will be left over?

Given :

A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock, the length of the rope form the boat to the dock is 3 feet longer than twice the height of the dock above the water.

To Find :

The height of the dock.

Solution :

This will make a right angle triangle as given in link below .

Now , applying Pythagoras theorem :

[tex](2h+3)^2=h^2+12^2\\\\4h^2+9h+9=h^2+144\\\\h^2+4h-45=0\\\\(h-5)(h+9)=0[/tex]

Now , h = 5 or h = -9 .

Now , height cannot be negative .

So , height of the dock is 5 ft .

Hence , this is the required solution .

Answer:

2000 ; 2000

Step-by-step explanation:

Given the following :

Total amount borrowed = 4000

Total interést paid = 424

Simple interést = (principal * rate * time)

Rate 1 = 9.2% = 0.092

Rate 2 = 12% = 0.12

Let amount borrowed at 9.2% = x

Amount borrowed at 12% = y

x + y = 4000 - - - - (1)

x * 0.092 + y * 0.12 = 424

0.092x + 0.12y = 424 - - - - (2)

from (1):

x = 4000 - y

0.092(4000 - y) + 0.12y = 424

368 - 0.092y + 0.12y = 424

368 + 0.028y = 424

0.028y = 424 - 368

0.028y = 56

y = 56/0.028

y = 2000

x + y = 4000

x = 4000 - 2000

x = 2000

Answer:

Descends

Step-by-step explanation:

The word descend is what indicates that a negative integer should be used.

When we talk about height we should be regarding it in increments which makes its integers positive, that is something that increases. But the question says descends, descends means a reduction in height. which is a way of describing height in an opposite or negative direction.

decendsStep-by-step explanation:

Answer:

I think Factoring is going to be the most challenging part of Alg.1 because it seems like there are a lot of steps before finding the answers.

Explanation:

When I took algebra I, the most difficult part for me was inequalities.

I had been used to linear equations and even quadratic equations, where the operative rule is "keep the equal sign sacred" (whatever you do to one side must also be done to the other side). Once I figured out that multiplying or dividing inequalities by a negative number reverses the comparison, I was good to go.

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These days, algebra I also includes a good dose of statistics. That seems to trip up a number of people, including me. The main thing, I think, is to stay clear on the definitions, and whether you're talking about a population or a sample. A lot of the math is easily handled by a graphing calculator or spreadsheet, so familiarity with the use of those is a great bonus (almost required).

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You will be better equipped to go into algebra I if you have memorized multiplication tables, rules of divisibility, some mental math procedures, and squares and cubes of small integers (square ≤ 20^2, cubes ≤ 10^3). This will help immensely when it comes to factoring. Similarly, you need to be familiar with arithmetic involving decimals, fractions, and mixed numbers. Numbers in one form should offer you no more challenge than numbers in any other form.

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A big challenge for many people is the fact that math builds on previous learning. If you don't learn the early stuff well, and practice it a lot, then you will find you have difficulty drawing on that knowledge to make the later stuff easier. It's NOT a "test and forget" sort of deal. It's a "remember this forever" sort of deal.

Answer:

40x - 30 x²

Step-by-step explanation:

When x is multiplied by x it become x².

10x(4 - 3x)

10x times 4 = 40x

10x times -3x = -30x

40x - 30 x²

Answer:

C.

Step-by-step explanation:

The highest term must be of x^4, then decreasing to x^3, x^2, x and the constant term.

Altogether there are at maximum 5 terms.

A polynomial of degree 4 in y has at most 5 terms, the correct option is C.

A polynomial is an expression of variables and mathematical operators.

The polynomial in degree 4 can be written as

ay⁴ +by³ +cy² +dy +e

The polynomial of degree 4 can have 5 terms, 4 in decreasing power of y and a constant.

To know more about Polynomial

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Answer:

For City A, the expression for temperature change is 9 + (-8)

The amount the temperature changes for City A = 1°F

For City B, the expression for temperature change is -1 + (-3) = -4°F

The amount the temperature changes for City B = -4°F

Step-by-step explanation:

The given information are;

In City A, the temperature rise from 8 am to  9 am = 9°F

In City A, the temperature drop from 9 am to  10 am = 8°F

In City B, the temperature drop from 8 am to  9 am = 1°F

In City B, the temperature drop from 9 am to  10 am = 3°F

The expression for that represents the temperature change from 8 am to 10 am is therefore;

For City A

Temperature change from 8 am to 10 am are

8 am to  9 am = +9°F

9 am to  10 am = -8°F

Sum, change from 8 am to 10 am = 9 + (-8) = 1°F

For City B

Temperature change from 8 am to 10 am are

8 am to  9 am = -1°F

9 am to  10 am = -3°F

Sum, change from 8 am to 10 am = -1 + (-3) = -4°F

Answer:

k≥-8

Step-by-step explanation:

Answer:

16 and 64

Step-by-step explanation:

When you sqaure root 16, you get 4

When you cube root 64, you get 4

Answer:

[tex]\sqrt{16}[/tex] and [tex]\sqrt[3]{64}[/tex]

Step-by-step explanation:

let me know if u need this explained

Answer:

− 0.48076923

Step-by-step explanation:

Answer:

Pang, Ruben, Adela, and Tony is the correct answer.

Step-by-step explanation:

I got it right on edge2021

The order of differences ordered from least to greatest

Pang, Ruben, Adela, Tony.

The arranging of numbers from least to largest is known as ascending order. For instance, the digits 3, 15, 28, and 49 are listed in ascending order.

Given:

             Age Difference

Adela: 0.75 year

Tony:  1 1/10 years = 11/10= 1.1 year

Pang: –0.8 year

Ruben: -1 / 2 year = -0.5 year.

So, the differences ordered from least to greatest

-0.8 < -0.5 < 0.75 < 1.1

Hence, Pang, Ruben, Adela, Tony.

Learn more about ascending order here:

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Answer:

B. Segments

Step-by-step explanation:

"...divide (something) into separate parts or sections."

Definition of Segment

Hope it helps! :3

Answer: it would have been segment or planes Im not 100% sure

The numbers that multiply to give 10 are -

2 x 5

5 x 2

2.5 x 4

Given is two multiply two numbers to give 10.

The numbers that multiply to give 10, we get -

2 x 5 = 10

5 x 2 = 10

2.5 x 4 = 10

Therefore, the numbers that multiply to give 10 are -

2 x 5

5 x 2

2.5 x 4

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{Question in english is given below -

Multiplied numbers that give 10}

Answer:

x = 5

Step-by-step explanation:

Step 1:

2 (5x + 2) = 54

Step 2:

10x + 4 = 54

Step 3:

10x = 50

Answer:

x = 5

Hope This Helps :)

Answer:

x = 5

Step-by-step explanation:

2(5x+2)=54 (distribute)

10x+4=54 (subtract the 4 on both sides)

     -4   -4

10x = 50 (divide 10 on both sides)

10      10

x = 5

Answer:

B

Step-by-step explanation:

4x²/2 √x^4/4x²

2x²√x²/4  ( equal to C)

4x²/2(x²/2x)

2x²(x²/2x)=

2x^4/2x =x³ ( equal to A) or √x^6 ( equal to D) also E x²√x²=x^3

Answer:52

Step-by-step explanation

Answer:

Hey!

Your answer is 52

Step-by-step explanation:

5 x 10 = 50

24 ÷ 12 = 2

Because they are in the same brackets, you do the calculations simultaneously!

50 + 2 = 52

HOPE THIS HELPS!

Answer:

6

Step-by-step explanation:

Absolute value is the distance from 0, 6 is 6 units from 0

Answer:

52.5

Step-by-step explanation:

Answer: D)14

Step-by-step explanation: The x-factors are both -3 but the y-factors are different so you count the distance between them

Answer:

Step-by-step explanation:

If  5 staring members of the basketball team are lining up for a picture, the number of different ways the players can be lined up is expressed as 5!.

5! = 5*4*3*2*1

5! = 20 * 6

5! = 120

Hence the number of different ways that the players can be lined up for the picture is 120 different ways

Answer:

28%

Step-by-step explanation:

do 28/28+72=28/100

then multiply 28/100 by 100 which equals 28%

Answer:

D

Step-by-step explanation:

When y = 0 then we are on the x- axis thus x = - 2 and x = 3 are zeros

The corresponding factors are (x + 2) and (x - 3)

The corresponding equation is the product of the factors, that is

y = (x + 2)(x - 3) ← expand using FOIL

y = x² - x - 6 → D

Answer:

x=8/3

Step-by-step explanation:

6x*10=160

6x=16

x=16/6

x=8/3

Answer:

[tex]x = 8 \div 3 \\ \\ [/tex]

Answer:

4

Step-by-step explanation:

Step-by-step explanation:

4(3x-1)=9-x

12x-4=9-x

12x+x=9+4

13x=13

x=13/13

x=1

Answer:

Each line segment joining a vertex of ABCD to the corresponding vertex in the image is perpendicular to the line of reflection, EF. That is, the lines intersect at a 90 degree angle.

Answer:

A scale is a way to resize drawings or figures to make them fit into a particular size.

Step-by-step explanation:

In 2D drawing or diagrams, a  scale factor greater than 1 enlarges the object, while a scale factor between 0 and 1 shrinks the objects, also using a scale factor of 1 changes nothing or leaves the drawing the way it is.

Furthermore, scales are represented in ratio form 1:2, telling us that say 1cm in the virtual environment or paper represents 2km in reality

Answer:

Rational

Step-by-step explanation:

A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p, and a non-zero denominator q.

Hope This Helps :)

Answer:

B. 78 meters

Step-by-step explanation:

2574 divided by 33 equal 78

hope this helps you :)