NEED ASAP:
A photographer needs a frame for an 8 x 10 inch picture, such that the total area is 168 in2. Calculate the width of the frame. Which of the following quadratic equations would be used when solving this?

NEED ASAP:A Photographer Needs A Frame For An 8 X 10 Inch Picture, Such That The Total Area Is 168 In2.
NEED ASAP:A Photographer Needs A Frame For An 8 X 10 Inch Picture, Such That The Total Area Is 168 In2.

Answers

Answer 1

Answer:

Step-by-step explanation:

the area of this rectangle is

(10 + 2x)(8 + 2x) = 168

80 + 20x + 16x + 4x² = 168

4x² + 36x = 88

Step-by-step explanation:

Answer 2

A quadratic equation is an equation whose leading coefficient is of the second degree. The correct option is A.

What is a quadratic equation?

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

Let the width of the frame be represented by x. Therefore, the length and the breadth of the photographer be represented by (10+2x) inches and (8+2x) inches. Therefore, the total area of the photograph can be written as,

Area = Length × Breadth

168 inches² = (10+2x) inches × (8+2x)inches

168 = (10+2x)(8+2x)

168 = 80 + 20x + 16x + 4x²

0 = 80 + 20x + 16x + 4x² - 168

0 = 4x² + 36x - 88

4x² + 36x - 88 = 0

4x² + 36x = 88

Hence, the following quadratic equations that would be used when solving the width of the frame is 4x² + 36x = 88.

Learn more about Quadratic Equations:

https://brainly.com/question/2263981

#SPJ5


Related Questions

help me please lease

Answers

Answer:

m = 4

Step-by-step explanation:

(80, 40) and (90, 80)

40/10= 4

Answer:

4

Step-by-step explanation:

choose two points

I chose (80,40) and (90,80)

(80-40)÷(90-80)

40/10

4

What is the surface area of the cylinder with height 8 and radius 2? Round your answer to the nearest thousandth.​

Answers

Answer:

surface area of cylinder is 126cm²

Step-by-step explanation:

Height of a cylinder is 8cm

Radius of a cylinder is 2cm

surface area = ?

surface area of cylinder= 2πr(r + h)

=2×22/7×2(2+8)

=44/7×2(10)

=44/7×20

=880/7

=125.71

A = 2πrh + 2πr² π=3.14

(2 x 3.14 x 2 x 8) + (2 x 3.14 x 2x2)100.48 + 25.12A =125.6

answer the question with true or false:

Answers

Answer:

true

Step-by-step explanation:

please helpppppppppppppppp ?

Answers

Answer:  (x + 4)(x + 4)

                x² + 8x + 16

                x² + 4x + 4x + 16                

Step-by-step explanation:

See the image below.


A store is having a clearance special and every item is 10% off. What is the sale price of a $310 suit?

Answers

Answer:

$279

Step-by-step explanation:

10% off $310 is $31

310-31 is 279

Answer: the sale price of the suit is $279 or $31 dollars off

Step-by-step explanation:

$310 x 0.10= $31

$310 - $31= $279

The question is in the attachment!!​

Answers

Answer:

‎[tex] \qquad\quad\hookrightarrow{\sf { 1000(e-1)}}[/tex]

Solution:

[tex] \begin{aligned}&\longrightarrow \int_{0} ^{1000} {e}^{ - |x| }dx = \sum_{k = 0}^{999} \int_{k}^{k + 1}e ^{x - |x| }dx \\ \\ &\longrightarrow\int_{0} ^{1000} {e}^{ - |x| }dx = \sum_{k = 0}^{999} \int_{k}^{k + 1}e^{x - k}dx \\\\&\longrightarrow\int_{0} ^{1000} {e}^{ - |x| }dx = \sum_{k = 0}^{999}e^{x - k \big |_{k}^ {k + 1}} \\ \\& \longrightarrow\int_{0} ^{1000} {e}^{ - |x| }dx = \sum_{k = 0}^ {999}(e - 1)\\\\&\longrightarrow\int_{0} ^{1000} {e}^{ - |x| }dx = 1000(e - 1)\end{aligned}[/tex]

The figure below is composed of eight circles, seven small circles and one large circle containing them all. Neighboring circles only share one point, and two regions between the smaller circles have been shaded. Each small circle has a radius of 5 cm.

Answers

The figure below is composed of eight circles, seven small circles and one large circle containing them all. Neighboring circles only share one point, and two regions between the smaller circles have been shaded. Each small circle has a radius of 5 cm.

Which value should she use as the common ratio?

0.05
0.5
1.05
5.0

Answers

Answer:

0.5

Step-by-step explanation:

0.5

I guess i am 70% sure

Find the perimeter of the shape shown below.

Answers

perimeter = turn of the figure

P = 6 + 3 + 4 + 4 + 3 + 6 + 3 + 4 + 3 = 36

the triangle has 2 équal sides => isosceles

and 1 angle is 60° so the triangle is equilateral

 

HELP PLEASE
Find the area of the irregular figure.
5 in.
4 in
A = [ ? ]in.?
5 in.
9 in.
12 in.
4 in
5 in.

Answers

Answer:

Area of a rectangle

A = lw

Solve Systems of Equations Using the Substitution Method
6x - y= -4
2x + 2y = 15

I genuinely do not understand this concept at all, it would be AMAZING, if you could explain this as well.
Thanks, all.

Answers

Answer:

x= ½, y= 7

Step-by-step explanation:

[tex]\textcolor{steelblue}{\text{\textcircled{1} Label the equations}}[/tex]

6x -y= -4 -----(1)

2x +2y= 15 -----(2)

[tex]\textcolor{steelblue}{\text{\textcircled{2} Make y the subject of formula}}[/tex]

We could also make x the subject of formula in one equation, however the equation can be easily rearranged so that the coefficient of y is 1. This can be done by moving the y term to the right hand side of the equation, and the rest to the left. Note that each time you bring a term or constant over to the other side of the equation, its sign changes (e.g. positive to negative).

From (1):

6x +4= y

y= 6x +4 -----(3)

Label the equation as equation (3) so we can refer to it easily later.

[tex]\textcolor{steelblue}{\text{\textcircled{3} Substitute (3) into (2)}}[/tex]

Now that we have an equation of y that is written in terms of x, we can replace all the y in equation (2) so that the whole equation is only in terms of x.

Subst. (3) into (2):

2x +2(6x +4)= 15

Expand:

2x +12x +8= 15

Simplify:

14x +8= 15

14x= 15 -8

14x= 7

x= 7 ÷14

x= ½

[tex]\textcolor{steelblue}{\text{\textcircled{4} Find y}}[/tex]

Substitute x= ½ into (3):

y= 6(½) +4

y= 3 +4

y= 7

Leah invests money in an account paying simple interest. She invests $180 and no money is added or removed from the investment. After one year, she has $192.60. What is the simple percent interest per year?

Answers

The final statement is: The rate of interest is 7% and simple interest is $12.60

What Is Simple Interest?

Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest. Simple interest relates not just to certain loans. It's also the type of interest that banks pay customers on their savings accounts.

Given here: Principal =$180 And amount after one year=$192.60

Therefore simple interest= 192.60-180

                                          =12.60

∴12.60=180×r×1/100

 r=7%

Hence, The rate of interest is 7% and simple interest is $12.60

Learn more about simple interest here:

https://brainly.com/question/25845758

#SPJ1

In the rectangle below, sketch the position of the ribbons and outline a right triangle with a diagonal of the rectangle as the hypotenuse. Then, label the right triangle below the rectangle with the appropriate lengths from the problem.​

Answers

The length of the ribbon needed to cross from one corner of the rectangle to the other corner is 7 1/2 feet.

What is the length of the ribbon needed?

The length of the ribbon needed can be determined using the Pythagoras theorem.

The Pythagoras theorem: a² + b² = c²

where

a = length

b = base

c = hypotenuse

√4.5² + 6²

√36 + 20.25 = 7.5 feet

To learn more about Pythagoras theorem, please check: https://brainly.com/question/14580675

Miki, a resident of kyoto, earns an annual salary of ¥6,760,950. if the japanese government levies a 29.12% income tax on miki’s tax bracket, what is her yearly take-home pay, to the nearest whole yen? a. ¥4,792,161 b. ¥4,643,510 c. ¥4,439,195 d. ¥4,364,869

Answers

The amount of yearly take-home pay of Miki, a resident of Kyoto after the payment of income tax is ¥4,792,161.

What do you mean by percentage?

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the percentage symbol '%'.

Miki, a resident of kyoto, earns an annual salary of ¥6,760,950. The Japanese government levies a 29.12% income tax on miki’s tax bracket.

The amount of tax Miki pay to the government as income tax is,

[tex]I=\dfrac{29.12}{100}\times6760950\\I=1968788.64[/tex]

Miki, earns an annual salary of ¥6,760,950. Thus, her yearly take-home pay after the deduction of income tax is,

[tex]M=6760950-1968788.64\\M=4792161.36\\M\approx4792161[/tex]

Thus, the amount of yearly take-home pay of Miki, a resident of Kyoto after the payment of income tax is ¥4,792,161.

Learn more about the percentage here;

https://brainly.com/question/24304697

Answer:

A

Step-by-step explanation:

:) good luck

find the HCF of
[tex]5x {}^{2} - 125,x {}^{2} + 25and - 10x[/tex]

Answers

Answer:

Step-by-step explanation:

5x^2 - 125 factors into 5 (x^2 - 25)

x^2 - 25 factors into  (x + 5)(x - 5)

So the answer to this part is 5(x + 5)(x - 5)

x^2 -  10x + 25 factors into

(x - 5)(x - 5)

So the HCF is (x - 5)

The water level at a lake is normally O feet above
sea level. During a flood, the level rose 7 feet. Over
the next two weeks the level had gone down by
12 feet.
a. Write an expression to represent this situation.
b. What level is the water currently at?

Answers

(x + 7) - 12 = -4ft . X representing the level the water is normally at. The water is currently 4 feet below sea level.

A local outdoor equipment store is being sold. The buyers are trying to estimate the percentage of items that are outdated. They will randomly sample among its 100,000 items in order to determine the proportion of merchandise that is outdated. The current owners have never determined their outdated percentage and can not help the buyers. Approximately how large a sample do the buyers need in order to insure that they are 98 % confident that the margin of error is within 3%

Answers

Using the z-distribution, as we are working with a proportion, it is found that the buyers need a sample of 1505.

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this problem, we have a 98% confidence level, hence[tex]\alpha = 0.98[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.98}{2} = 0.99[/tex], so the critical value is z = 2.327.

There is no estimate of the percentage, hence [tex]\pi = 0.5[/tex], and the margin of error is of M = 0.03, hence we solve for n to find the desired sample size.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 2.327\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.03\sqrt{n} = 2.327(0.5)[/tex]

[tex]\sqrt{n} = \frac{2.327(0.5)}{0.03}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{2.327(0.5)}{0.03}\right)^2[/tex]

[tex]n = 1504.2[/tex]

Rounding up, the buyers need a sample of 1505.

More can be learned about the z-distribution at https://brainly.com/question/25890103

help please

What is the surface area of a cube with an edge of 5 cm?​

Answers

Answer:

150 cm^2

Step-by-step explanation:

A cube has 6 surfaces

Each surface square = 5 by 5

So.....

5 x 5 (or 25) times 6

25 x 6 = 150

Hope this helps!

he negative square root of 16 is -4. What is the square root of -16?

Answers

About the minus sign with 16, square root of -1 is an imaginary number i(iota). Also we know that square root of -16 will be multiplication of square root of -1 and square root of 16. So the final answer becomes, + or - 4i. Hope this helps

Sydney read 50 pages in 40 minutes. She reads at a constant rate.


How many pages can Sydney read per minute

Answers

Answer:

divide the number of pages by the time

Step-by-step explanation:

=50/40

=5/4

= 1.25/per minute

The school band sells carnations on Valentine's Day for $3 each. It buys the carnations from a florist for $0.50 each, plus a $15 delivery charge. When will the cost of the carnations be equal to the revenue from selling them? How many carnations does it need to sell to reach this point?

The cost of the carnations will be equal to the revenue when it has sold
_______ carnations. It will reach this point after it sells ______carnations.

Answers

Answer:

6 carnations

Step-by-step explanation:

0.5x +15 = 3x

x = 6

What is the volume of this figure?

Enter your answer in the box.

ft³

Answers

Answer:

96

Step-by-step explanation:

L=6

W=2

H=8

LxWxH=8x6x2=96

8x6=48

48x2=96

Answer:

76

Step-by-step explanation:

the answer is 76 because I took the test

In Juneau, Alaska, the 30-year annual snowfall average is 86. 7 inches with a standard deviation of 40. 4 inches. The last four years saw an average annual snowfall of 115. 7 inches, 62. 9 inches, 168. 5 inches, and 135. 7 inches. Hia performs a hypothesis test on this data to determine if the next 30-year norm will have a different average if the trend from the last four years continues. She uses a significance level of 5%. Which of the following is a conclusion that she may make? The z-statistic is 1. 44, so the null hypothesis cannot be rejected. The z-statistic is 1. 68, so the null hypothesis cannot be rejected. The z-statistic is 1. 85, so the null hypothesis should be rejected. The z-statistic is 4. 6, so the null hypothesis should be rejected.

Answers

The z-statistic is 1. 68, so the null hypothesis cannot be rejected.

What is null hypothesis?

The expected value of the amount of average snowfall for over 30 years is 86.7 inches with a standard deviation of 40.4 inches.

To verify if this particular trend continues, we must check the significance value of the amount snowfall for the past four years.

Given that the snowfall for past years are as follows: 115.7 inches, 62.9 inches, 168.5 inches, and 135.7 inches.

Thus the mean of the sample would be: (115.7 + 62.9 + 168.5 + 135.7)/4 = 120.7 inches.

To compute for the z-score,

we have z-score = (x – μ) / (σ / √n)

where x is the computed/measured value,

μ is the expected mean, σ is the standard deviation,

and n is the number of samples.

Using the information we have,

z-score (z) = (120.7 - 86.7) / (40.4/ √4) = 1.68

In order to reject the null hyptohesis our probability value must be less than the significance level of 5%. For our case, since z = 1.68, P-value = 0.093 > 0.05.

Hence The z-statistic is 1. 68, so the null hypothesis cannot be rejected.

To know more about Null hypothesis follow

https://brainly.com/question/15980493

Answer:

B. The z-statistic is 1.68, so the null hypothesis cannot be rejected.

Step-by-step explanation:

edg 22, got 100 on unit test

Help!!!!! This is i-ready !!! Will mark brainiest please help!!!!

Answers

Answer:

I think answer C

Step-by-step explanation:

You can display how many toothbrushes were distributed each month on the dot plot :)

Have an amazing day!!

Please rate and mark brainliest!!

Answer number 10 please. Thank you.

Answers

Hi DoraTheExplorer36!
In order to solve number 10:

area of a circle : A=pie * radius (r) squared

A=πr2

Radius is half of a circle and diameter is a full line across a circle

Solve :

A=πr2

A= 3.14 * 11 (radius) 2


1193.0116

Rounded to the nearest whole number is : 1193.

Your answer would be 1193.

Hope that helped! :)

Given AB and AC are lines that are tangent to the circle with
the measure of angle BAC = 40°, what is the measure of angle BDC?

Answers

Answer:

C

Step-by-step explanation:

Givens

You are given 2 tangent lines.

You are also given a 4 sided figure.

All 4 sided figures have 360 degrees

A radius meets a tangent at 90 degrees

Formula

<BDA + <DCA + <BCA + <BDC = 360

Solution

90 + 90 +40 + <BDC = 360               Combine

220 + <BDC = 360                             Subtract 220 from both sides

220- 220 +BDC =360 - 220

<BDC = 140

Answer: C

   

Is the function in this table linear or nonlinear and why?

Answers

The function in the table is nonlinear because they plugged the same number into the equation twice.

Weir and Max put $75 in quarters and dimes in the box. There were 400 more dimes than quarters. How many coins of each type were there

Answers

Answer:

100 quarters = 2500 cents = $25

500 dimes = 5000 cents = $50

total = $75

Step-by-step explanation:

3 shapes are combined to form a composite figure. a semicircle is on the bottom, and then a small rectangle connects the semicircle to a triangle. how can you decompose the composite figure to determine its area? as three triangles and a circle as two triangles, a rectangle, and a circle as a triangle, a pentagon, and a semicircle as a triangle, a rectangle, and a semicircle

Answers

Answer:

  (d)  as a triangle, a rectangle, and a semicircle

Step-by-step explanation:

The description of the shape tells you how to decompose it. The shape is described as a semicircle, a rectangle, and a triangle. The appropriate decomposition is ...

  as a triangle, a rectangle, and a semicircle

Answer:

d

Step-by-step explanation:

Copare use <,>, or =

Answers

It’s =. This is because 1/8 equals to 0.125 when you divide 1 by 8

Answer:

0.125 = ⅛

Step-by-step explanation:

Both are equal.......

Other Questions
Sally and Will are very picky eaters. At the start of dinner, Sally pushed half of her peas onto Will's plate. Then, when their mom wasn't looking, Will pushed half of his peas onto Sally's plate. Finally, Sally once again pushed half of her peas onto Will's plate. When their mom said they would get no dessert if they didn't eat their vegetables, Sally had 25 peas on her plate and Will had 47 peas on his plate. How many peas did Sally have at first? Helena has always loved children and worked hard to become an elementary school teacher. Her family does not like this career because it traditionally does not pay a lot of money. Helena is determined to stay on her career path. What could Helena do to make sure she is secure financially? Collaborations between environmental groups and business interests on environmental issues have resulted in successful partnerships. please select the best answer from the choices provided t f A. Directions/Instructions: GivenSolution (3 points)Final Answer (1 point)Ex. : 5ab( 4a3 + 2ab - 3b4)=5ab( 4a3 + 2ab - 3b4)=20a4b+10a2b2-15ab5=20a4b+10a2b2-15ab51. (6k + 5)(5k + 5) 2. (a2+6a-4)(2a-4) 3. (4x2-5x-21)(x-3) Perform the operation on the following algebraic expressions and apply the laws of exponents. (3 points)B. Directions/Instructions: Perform the operation on the following algebraic expressions and apply the laws of exponents. (3 points)GivenSolution (2 points)Final AnswerExample: 8c52d42=8c52d42=64c104d8=16c10d81. (4x5y3)22. 18c8(-2c)23. 3a2bab24ab2c3c What is current of 12 ohm? help me pleasee Why can't land animals evolve a better eye Kay a person with a disability is an employee of mid state transport company when the firms elevator is taken out of service kay cannot get to her offics The energy for _____ transport comes from the gradient itself Power Up Test Practice15. The table shows the money raised by each type of boothat a craft sale. The mean amount raised per booth was $50How much money was raised by the T-shirt booth? Explainhow you found your answer.Martin Gai Sande Darwins formula why is it so hard Use the Law of Sines to solve (if possible) the triangle. If two solutions exist, find both. Round your answers to two decimal places. (If a triangle is not possible, enter IMPOSSIBLE in each corresponding answer blank. ) A = 55, a = 10. 1, b = 12. 3Case 1 BCc Case 2BCc A = 55, a = 10. 1, b = 12. 3 tell me some words so i can translate them Who were the Big Four countries that met at the Paris Peace Conference in 1919? 3/5 - 4 - x=0 i need hlp with this Make a title about this short paragraph and write a statement that is your own opinion about the paragraph PLEASE HELPPPP Jason observed a series of circles and saw the following pattern. What color will the next circle be? red, blue, green, green, red, blue, green, green, ... - yellow- red- green- blue Can someone help me? Image is down below Explain the significance of the Huang River to the ancient Chinese ? in 3 complete sentences please Could the United State's participation in the League of Nations have prevented World War II?Can you answer in a full paragraph please? ill mark as brainliest. What was the original meaning of the word ""appreciate""?.