PLEASE HELP. 18 points
You design a frame to surround a rectangular photo. The width of the frame is the same on every side as shown. write a polynomial in standard form that represents the combined area of the photo in the frame. find the combined area of the photo in the frame when the width of the frame is 4 inches.

PLEASE HELP. 18 PointsYou Design A Frame To Surround A Rectangular Photo. The Width Of The Frame Is The

Answers

Answer 1

Answer:

A is 4x^2+84x+440 and B=840 square inches

Step-by-step explanation:

A is 4x^2+84x+440 and B=840 square inches

The task for a is to write a polynomial in standard form that represents the combined area of the photo and the frame. First, lets start with the bottom of the picture and frame.  On the bottom, you have 2x+ 22 inches.  Then the side of the picture and frame is 2x+20 inches. Writing in polynomial form, it would be  (2x+22)(2x+20). You would get 4x^2+84x+440 since you are using the FOIL method. Now for part b, we know that the width of the frame(or x) is 4 inches. Now we plug that into the equation.  84x is 84x4. 84x4=336   x^2 is 16.   There are four of those as you can see in the equation so 16x4=64    

336+64=400 inches    Frame= 400 inches

400 inches plus the picture(440 inches) =  840 square inches.

Answer 2

Length of the rectangular photo = 22 inches

Width of the rectangular photo = 20 inches

Since, width of the frame outside the photo = x inches

Therefore, increase in length and width of the photo with frame = (x + x)

                                                                                                           = 2x inches

Length of the photo with frame = (22 + 2x) inches

Width of the photo with frame = (20 + 2x) inches

Combined Area of the photo in the frame = Length × Width

                                                                      = (22 + 2x)(20 + 2x)

                                                                      = 22(20 + 2x) + 2x(20 + 2x)

                                                                      = 440 + 44x + 40x + 4x²

                                                                      = 4x² + 84x + 440

Therefore, polynomial representing the combined area of the photo in the frame will be (4x² + 84x + 440) square inches.

If width of the frame = 4 inches

Combined area of the photo = 4(4)² + 84(4) + 440

                                                 = 840 square inches

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Related Questions

Graph m > −5 on a number line.

Answers

Final answer:

Graphing an inequality involves drawing a number line, marking the critical value, here -5, with an open circle because it's not included in the solution, and indicate with an arrow every number greater than -5, as these are the solutions to the inequality.

Explanation:

To graph m > -5 on a number line, you first need to draw a straight line, representing the number line. Mark -5 on the line. Since the inequality is 'greater than' (-5), you will have an open circle at -5. The open circle indicates that -5 is not included in the solution. The solutions for the inequality are all values to the right of -5, so you would draw an arrow pointing towards the right from the open circle. This demonstrates that all numbers greater than -5 are the solution to the inequality.

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Please help!

Will mark as brainliest for answering questions 10-16!

Please and thank you guys so much, hope you guys are protected from Coronavirus!

Answers

Answer:

10. Perimeter = 56 ft  ;  Area = 195 sq. ft.

11. If my math is correct, Perimeter = 76 km  ;  Area = 706 sq. km

12. Circumference = 100[tex]\pi[/tex] cm  ;  Area = 2500[tex]\pi[/tex] sq. cm

13. Circumference = 24[tex]\pi[/tex] ft.  ;  Area = 144[tex]\pi[/tex] sq. ft.

14. Perimeter = 62 ft.  ;  Area = 238 sq. ft.

15. Circumference = 22[tex]\pi[/tex] yd.  ;  Area = 121[tex]\pi[/tex] sq. yd.

16. Perimeter = 40 mm  ;  Area = 100 sq mm

Step-by-step explanation:

This equation shows how the total number of novels Brad has in his collection is related to the amount of money he spends on additional novels.

n = d

The variable d represents the amount of money he spends on additional novels, and the variable n represents the total number of novels in his collection. How much money does Brad need to spend on new novels in order to have a total of 69 novels in his collection?

Answers

R u sure there Is no more to the question? I feel like there is a missing number somewhere :)

Which is an example of phototropism?
A.roots of seedling growing away from light.
B.tendrils of plant attaching to a nearby stem
C.roots of seedling growing down toward the pull of gravity.
D.stems and leaves of plant growing up away from the pull of gravity

Answers

Answer:

i think it is A

Step-by-step explanation:

sorry if i am wrong...hope this helped, also can i have brainliest pls?

Answer:

I believe the answer is A

Step-by-step explanation:

A 9-pound bag of potatoes costs $4.14. What is the unit price per pound? 2 points
$0.46
$2.17
$0.046
O
$0.22

Answers

Answer:

Step-by-step explanation:

Unit price = Total price

                     number of items

= 4.14/9

= $0.46

Simplify the expression. 18a + 12x − 12a + 15x A) 6a + 27x B) 6a − 3x C) 30a − 18x D) −30 −3x

Answers

Answer:

18a + 12x - 12a + 15x

6a + 27x

the answer is a

Step-by-step explanation:

First put all the alike terms together 6a+27x the answer is A)

If a pair of standard dice are rolled, what is the probability that the sum will be less than 5?
The answer is [tex]1/?[/tex] I just need the denominator

Answers

Answer:

Probability=  No. of favorable outcomes/ total no. of outcomes

= 4/6 Since below 5 will be 4

and we need to simplify= 2/3

Step-by-step explanation:

Answer: the answer is 1/6

Step-by-step explanation:

Which of the following shows the Identity Property for Addition?

A. 9 + (-9)=0
B. 9 + 0 = 9
C. 9 = 9
D. 9 x 1 = 9

Answers

I think it’s gonna be B
The answer is B. 9+0=9

What is the definition of area of a kite

Answers

Answer:

The diagonal * the other diagonal, all divided by two.

Step-by-step explanation:

A kite in other words is a rhombus. To find the area of a rhombus we need to multiply 1/2 * p * q

Where p is one diagonal and q is the other.

Step-by-step explanation:

[tex] \sf \:a = \dfrac{pq}{2}[/tex]

The area of a kite is half the product of the lengths of its diagonals.

On Saturday, Bob's bakery sold 80 cupcakes for $5 each. His profit margin on the cupcakes was 50%. Which calculation yields the amount of profit he made on the cupcakes? A) 50 × 5, then 250 ÷ 2 B) 80 × 5, then 400 ÷ 2 C) 80 × 5, then 400 ÷ 50 D) 80 × 50, then 4,000 ÷ 5

Answers

Answer:

B) 80 × 5, then 400 ÷ 2

brainliest?

The function F(x) = logo.75^x is decreasing.
O
A. True
O
B. False

Answers

Answer:

true

Step-by-step explanation:

We assume you intend your function to be ...

 

A logarithm with a base less than 1 is a decreasing curve. Here, the base appears to be 0.5, a value less than 1. Hence the curve is decreasing.

Yes, The function F (x) = log (0.75)ˣ is a decreasing function.

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ F (x) = log (0.75)ˣ

Now, We know that;

If derivative of logarithmic function is less than 1 then, it is decreasing.

Here,  The function is,

⇒ F (x) = log (0.75)ˣ

After differentiation,

⇒ F ' (x) = log 3 - log 4 < 1

Hence, The function F (x) = log (0.75)ˣ is a decreasing function.

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A circular plot of land has a diameter of 14 yards. What is the area of the land? Use 3.14 for π.

Answers

Answer:

A =153.86 yd^2

Step-by-step explanation:

The area of a circle is given by

A = pir^2

We need to get the radius.  We are given the diameter

r = d/2 = 14/2 =7

A = pi (7)^2

A =49pi

Using 3.14 for pi

A = 49 (3.14)

A =153.86 yd^2

A marker is almost 14 centimeters long. This length ends between

which two centimeter-marks on a ruler? Enter the smaller centimeter-

mark first.

centimeter-mark and the

The length ends between the

centimeter-mark.

Answers

Answer:

It ends between 13cm and 14cm mark.

Step-by-step explanation:

Since this marker in question is almost 14 centimeters long and definitely ends between two centimeter marks, the two centimeters that the length of this marker ends between on a ruler should be the 13cm and 14cm marks on the ruler.

Final answer:

The length of a marker almost 14 centimeters long ends between the 13 centimeter-mark and the 14 centimeter-mark on a ruler.

Explanation:

When measuring a marker that is almost 14 centimeters long, we look at the ruler and identify the two consecutive centimeter marks between which the length of the marker falls. If the marker is almost 14 centimeters long, this means it is greater than 13 centimeters but less than 14 centimeters.

Therefore, we can confidently say that the marker's length lies between the 13 centimeter-mark and the 14 centimeter-mark on the ruler. The smaller centimeter-mark would be 13, as it is the immediately preceding whole centimeter before the marker ends.

The box plots show the average gas mileage, in miles per gallon, of cars and minivans tested by a certain company.
Cars
+
+
+
+
+
14
16
18
20
22
24
26
28
30
32
34
Minivans
Which correctly compares the interquartile ranges?
The interquartile range for cars is about 12 mpg, and the interquartile range for minivans is about 12 mpg.
The interquartile range for cars is about 7 mpg, and the interquartile range for minivans is about 3 mpg.
The interquartile range for cars is about 24 mpg, and the interquartile range for minivans is about 19 mpg.
The interquartile range for cars is about 8 mpg, and the interquartile range for minivans is about 7 mpg.

Answers

Answer:

b.The interquartile range for cars is about 7 mpg, and the interquartile range for minivans is about 3 mpg.

Step-by-step explanation:

i got it right

Answer:

The answer is B

Step-by-step explanation:

Please help What are the coordinates of -2 , -3 of you move 6 units to the right

Answers

Answer:

(4,-3)

Step-by-step explanation:

Answer:

(4,-3)

Step-by-step explanation:

Moving 6 units to the right would only affect the x coordinate. Sinceinc we are moving to the right, there is a positive increase in the x coordinate.

-2+6=4

So our new point is (4,-3)

2 points
A college baseball team won 5
games for every 3 games they lost.
They played 64 games this year. How
many games did they win? *
A 15 games
B 40 games
O
C 25 games
OD 30 games

Answers

Answer:

B) 40 games won

Step-by-step explanation:

5+3=8

64 /8 = 8

8×5 = 40 games one

Someone please give me the answers...And thank you

Answers

Answer:

Step-by-step explanation:

1) 4x + 3 <= 3x - 5

Subtract 3 from both sides

4x + 3-3  <= 3x - 5 -3

4x  <= 3x - 8

Subtract 3x form both sides

4x - 3x <= 3x -3x - 8

x <= -8

Answer:

CHALLENGE ACCEPTED!!

Step-by-step explanation:

4x + 3 ≤ 3x - 5

4x - 3x ≤ -5 -3

x ≤ -8

sorry, cant draw the number line but hope the solution helps.

-2x > 6

-2x ÷ -2 > 6 ÷- 2

x > -3

1/8(3x - 16) < 4

3/8x - 2 < 4

3/8x < 4 + 2

3/8x < 6

x = 16

x - 3/2 ≥ -5

x - 3 ≥ -5 × 2

x - 3 ≥ -10

x ≥ -10 + 3

x ≥ 7

Help!!! 30 points and brainliest

[tex]2x^{2} +6x - 5 = 0[/tex]

Answers

Answer:

Should be in the pic below

Step-by-step explanation:

Answer:

x = [tex]\frac{-3+\sqrt{19} }{2}[/tex] or x = [tex]\frac{-3-\sqrt{19} }{2}[/tex]

Step-by-step explanation:

We want to factor this. In order to factor it, we need to use the quadratic formula:

[tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] or [tex]x=\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]

Here, a = 2, b = 6, and c = -5, so plug these in:

[tex]x=\frac{-6+\sqrt{6^2-4*2*(-5)} }{2*2}=\frac{-6+\sqrt{76} }{4} =\frac{-6+2\sqrt{19} }{4} =\frac{-3+\sqrt{19} }{2}[/tex]

AND

[tex]x=\frac{-6-\sqrt{6^2-4*2*(-5)} }{2*2}=\frac{-6-\sqrt{76} }{4} =\frac{-6-2\sqrt{19} }{4} =\frac{-3-\sqrt{19} }{2}[/tex]

Thus, the answers are x = [tex]\frac{-3+\sqrt{19} }{2}[/tex] or x = [tex]\frac{-3-\sqrt{19} }{2}[/tex].

Hope this helps!

The rectangle below has an area of x^2+8x+15x

2

+8x+15x, squared, plus, 8, x, plus, 15 square meters and a width of x+3x+3x, plus, 3 meters.

What expression represents the length of the rectangle?

Answers

Answer:

The length of the rectangle is x+5.

Step-by-step explanation:

Given : The rectangle below has an area of [tex]x^2+8x+15[/tex] square meter and a width of  [tex]x+3[/tex] meter.

To find : What expression represents the length of the rectangle?

Solution :

The area of the rectangle is given by,

[tex]\text{Area}=\text{Length}\times \text{Breadth}[/tex]

[tex]\text{Area}=x^2+8x+15[/tex]

[tex]\text{Breadth}=x+3[/tex]

[tex]x^2+8x+15=\text{Length}\times(x+3)[/tex]

[tex]\text{Length}=\frac{x^2+8x+15}{x+3}[/tex]

[tex]\text{Length}=\frac{(x+5)(x+3)}{x+3}[/tex]

[tex]\text{Length}=x+5[/tex]

Therefore, the length of the rectangle is x+5.

Final answer:

The length of the rectangle is found by dividing the area (x² + 8x + 15) by the width (x + 3), which simplifies to x + 5 meters, as the (x + 3) factor cancels out.

Explanation:

To find the length of the rectangle, we can use the area formula for rectangles, which is area = length × width.

According to the question, the area of the rectangle is given by the quadratic expression x² + 8x + 15, and the width is given by x + 3. To find the length, we divide the area by the width:

length = ²/(x + 3)

² + 8x + 15 is factorable, and its factors are (x + 5)(x + 3), which simplifies to:

length = (x + 5)(x + 3)/(x + 3)

When the polynomial is factored, we can see that the (x + 3) terms cancel each other out:

length = x + 5

So, the expression representing the length of the rectangle is x + 5 meters. It is important to note that when dealing with units, one must ensure they are consistent. However, there is no need for conversion here since the area and width are already in terms of meters and square meters respectively.

A can contains 40 chips: 10 each of read and blue, 12 pink, and the remaining black.If Susan were to remove 3 black and 2 red chips, what is the probability that next one she removes is black? Please Help!

Answers

Answer:

1:7

Step-by-step explanation:

R = RED | B = BLUE | P = PINK | BL = BLACK | c = chips

10R + 10B + 12P = 32 chips

40c - 32c = 8 black chips

8BL - 3BL = 5 black chips

10R - 2R = 8 red chips

2R + 3BL = 5 chips

40c - 5c = 35 chips

5BL : 35c = 1:7

The probability that next one Susan removes is black chips is 1/7.

What is probability?

The probability is defined as the possibility of an event is equal to the ratio of the number of outcomes and the total number of outcomes.

Total no. of chips = 40

No. of red chips = 10

No. of blue chips = 10

No. of pink chips = 12

No. of black chips = 8

If Susan were to remove 3 black and 2 red chips

So, No. of available black chips = 8 -3 = 5

No. of available red chips = 10 - 2 = 8

Total removed chips = 5

Total no. available of chips = 35

The probability that next one Susan removes is black chips = 5/35 = 1/7

Hence, the probability that next one Susan removes is black chips is 1/7.

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A new golf bag has a compartment that is roughly a rectangular prism that has dimensions of 6 inches by 8 inches by 9 inches. How many golf balls will
fit in the compartment if a golf ball has a diameter of 1.7 inches? (Reminder: You can assume that for random packing space 190% of the volume of the
sphere is needed to pack the spheres and Volume of Sphere = 4/3 pim3)
21 balls
88 balls
63 balls
57 balls

Answers

Final answer:

To find the number of golf balls that can fit in the compartment, we calculate the volume of the compartment and then divide by the volume required to pack a golf ball. We can fit around 88 golf balls in the bag.

Explanation:

We first need to find the volume of the rectangular prism. The volume of a rectangular prism can be found by multiplying the length, width, and height. So, volume = 6 * 8 * 9 = 432 cubic inches.

Next, we can find the volume of a golf ball which is a sphere using the formula 4/3 * π * r³ where r is the radius of the sphere. The diameter of the golf ball is given as 1.7 inches, which means the radius is 1.7/2 = 0.85 inches. So, the volume of the golf ball = 4/3 * π * (0.85)^3 = 2.57 cubic inches (approx).

As per the question, in a random packing of spheres, 190% of the volume of the sphere is needed. Therefore, the required volume for each ball = 2.57 * 190/100 = 4.87 cubic inches. The total number of balls that will fit = volume of rectangle/volume of each ball = 432/4.87 = 88 (rounded down to a whole number). So, the answer is 88 balls.

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Use the net to find the surface area of the square pyramid.

A) 152 in2
B) 264 in2
C) 336 in2
D) 448 in2

Answers

Answer:

b

Step-by-step explanation:

Answer:

C) 336 in2

Step-by-step explanation:

336 in 2

Area of base → 82 = 64

Area of each triangle →  

1

2

· 8 · 17 → 68

64 + 68 + 68 + 68 + 68 = 336 in2

Use the distributive property to fill in the blanks below.


(5 x 8) + (5 x 7) = 5 x (blank+blank)


Fill in the blanks please and respond quickly.

will give extra points for correct and fastest responder

Answers

8 + 7

When you distribute, you multiply the number on the outside by each of the numbers on the inside individually.

For example, 6*(2+3) = (6*2) + (6*3)

You can check this- 6*5=30, 6*2=12, and 6*3=18. 12+18=30.

Hope that helps!

What is 150% of 3? Round to the nearest hundredth (if necessary).

Answers

Answer:

4.5

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

150% = 1.5

so 150% of 3 = 1.5 × 3 = 4.5

ERGENT I NEED HELP ON ATH PROBLEM

Answers

Answer:

Kite, Parallelogram, and Rectangle.

Step-by-step explanation:

BTW, you spelled Urgent wrong.

The answers are, Kite, Parallelogram, and Rectangle.

Answer:

Kite, Parallelogram, and Rectangle.

Step-by-step explanation:

BTW, you spelled Urgent wrong.

The answers are, Kite, Parallelogram, and Rectangl

A smaller rectangle is inside of a larger rectangle. The smaller rectangle has sides lengths of 9 x and 6 x. The distance to the larger rectangle on all sides is x. The space between the smaller rectangle and the larger rectangle is shaded.
The figure shows two rectangles. Which expression represents the area of the shaded region?

16x2
34x2
54x2
88x2

Answers

Answer:

im sorry if this is late but the answer is 34x2. goodluck :D

Step-by-step explanation:

I took the test

34x² represents the area of the shaded region. Option b is correct.

Two concurrent rectangle are given dimension of smaller rectangle is 9x and 6x. larger rectangle has offset of x with smaller rectangle. So the dimension of the larger rectangle is 9x+2x and 6x+2x . space between the rectangle is shaded and area of the shaded portion to be determine.

What is rectangle?

rectangle is four sided polygon whose opposites sides are equal and has angle of 90° between its sides.

Now the area of the shaded portion,
= area of larger rectangle - area of smaller rectangle
= 11x*8x  -  9x*6x
= 88x - 54x
= 34x

Thus, 34x² represents the area of the shaded region.

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3. Your expenses that change month to month are called?

Answers

Answer:

Variable expenses

Step-by-step explanation:

There are 4 types of expenses

-Variable Expenses:  Expenses that vary from month to month.

-Fixed Expenses: Expenses that remain the same from month to month.

-Intermittent Expenses: Expenses that occur at various times throughout the year and tend to be in large amounts.

Discretionary Expenses: Expenses for things we don't need

find the gcf and lcm of 20 and 12

Answers

Answer:

GCF: 4 LCM:60

Step-by-step explanation:

Answer:

gcf-6, lcm-60

Step-by-step explanation:

factors of 20: 1, 2, 4, 5, 10, 20

factors of 12: 1, 2, 3, 4, 6, 12

multiples of 20: 20, 40, 60, 80, 100

multiples of 12: 12, 24, 36, 48, 60, 72

1.
Carmen tosses two coins and records the outcomes. Her results are recorded in the table
below. She intends to toss two coins an additional 250 times. Based on the data in the table,
how many times will both coins land on tails or both coins land on heads?
Toss phone : 1 2 3 4 .5 | 6 7 | 8 | 9 | 10
| First coin, IHI HITITITIHITEHIHTT.
Second coin | TTT HITTA HITH
eco
im​

Answers

The expected number of times that both coins will land on the same result in 250 throws is given as follows:

100 tosses.

How to obtain the expected number?

The expected number is obtained applying the proportions in the context of the problem.

In the 10 tosses, 4 resulted in the same result for both coins, hence the proportion of the same result is given as follows:

4/10 = 0.4.

Hence, out of 250 tosses, the expected amount is given as follows:

0.4 x 250 = 100 tosses.

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which expressions represents a quadratic expression in factored form

Answers

Answer:

( x + 3 )( x - 7 ) and ( x + 1 )( x - 2 )

Step-by-step explanation:

Both of these represent 2 terms x 2 terms, so that means they are both in factored form.

Example:

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And please show your work!!|||v Trigonometric ratios in rig triangles pls help GM Corporation ($ in millions) 2017 2016 BALANCE SHEETS ASSETS Cash & marketable securities $40,000 $50,000 Accounts receivable 260,000 200,000 Inventories 500,000 450,000 Total current assets 800,000 700,000 Net fixed assets 400,000 300,000 Total assets $1,200,000 $1,000,000 LIABILITIES & EQUITY Accounts payable $170,000 $130,000 Bank loan 90,000 90,000 Accruals 70,000 50,000 Total current liabilities 330,000 270,000 Long-term debt 400,000 300,000 Other liabilities 0 0 Common stock 350,000 350,000 Retained earnings 120,000 80,000 Total liabilities & equity $,1200,000 $1,000,000 INCOME STATEMENTS 2017 2016 Sales $1,500,000 $1,300,000 Cost of goods sold 900,000 780,000 Gross profit 600,000 520,000 Operating expenses: Selling, general & admin, 150,000 150,000 Marketing 150,000 130,000 Depreciation 53,000 40,000 Interest 57,000 45,000 Earnings before taxes 190,000 155,000 Income taxes 76,000 62,000 Net income $114,000 $93,000 Which of following is False? a. Accounts receivable rose, in part because of higher 2017 sales and in part because of customers faster payments. b. Inventory management apparently improved as inventory turnover rose in 2017. c. The dollar amount of net working capital rose in 2017 but the quick ratio fell, indicating that current liability rose faster than current assets. d. The dollar amount of net working capital rose in 2017 but the current ratio fell, indicating that current liability rose faster than current assets. 1 Write out the directions to your house in French) for someone who is visiting if they start out at the city center, how wouldthey get to your house? You should have at least 5 sentences2. Write in French the directions from your house to your school or your favorite grocery store or your best mend's houseYou should have at least 5 sentencesI NEED THIS FAAAAAAST!! which landforms are typically found in the high island of oceania and NOT the low island Most adults would not erase all of their personal information online if they could. A software firm survey of 431 randomly selected adults showed that 42% of them would erase all of their personal information online if they could. express the original claim in symbolic form get parameter Which of the following statements correctly summarizes the psychological research on parent relationships during adolescence?a. Teens have tended to see their parents as having influence in the shaping of their religious faith and in thinking about college and career choices as well as political values.b. Peer relationships are typically short-lived, so they have little or no impact on the adolescent's goals, values, or traits.c. Because adolescents are so rebellious, they are naturally drawn to peers who are opposed to their parents' values in every way.d. An adolescent's peers typically undermine the values and goals that the parents have tried to foster in the adolescent.