You have a 12 inch by 14 inch picture that you frame. When you hung the picture, you found that the entire area is 261.44 in. What is the width of the frame?

You Have A 12 Inch By 14 Inch Picture That You Frame. When You Hung The Picture, You Found That The Entire

Answers

Answer 1

Answer:  c) 3.2 inches

Step-by-step explanation:

Let x represent the width of the frame

Then the area of the frame is:

(x + 12)(x + 14) = 261.44

Rewrite it in Standard form of a quadratic equation:

x² + 26x + 168 = 261.44

x² + 26x - 93.44 = 0

Use Quadratic Formula to solve for x:

[tex]x=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-26+\sqrt{26^2-4(1)(-93.44)}}{2(1)}\\\\\\x=\dfrac{-26+\sqrt{1049.76}}{2}\\\\\\x=\dfrac{-26+32.4}{2}\\\\\\x=\dfrac{6.4}{2}\\\\\\x=\large\boxed{3.2}[/tex]


Related Questions

7. A box of facial tissue is 22 cm by 10.5 cm by 8 cm.
How much cardboard is on the outside surface?
(Pls!! show work)​

Answers

Answer:

632.2 cm^2

Step-by-step explanation:

for this, you have to find the surface area:

area of side x 2: 22x10.5x2 = 46.2cm^2

area of top and bottom: 22 x 8 x 2 = 418 cm^2

area of front + back = 8 x 10.5 x 2 = 168 cm^2

sum = surface area = 632.2 cm^2

Please mark brainiest

the points A (1, 5), B (5, 5) and C (5, 1) are 3 corners of a square ABCD. what are the coordinates of D, the 4th corner

Answers

Answer:

(1,1)

This is the answer

Explain the meaning of “net” drawing. Provide an example.

Answers

The net of a 3D figure is the 2D surface area all laid out flat. One example would be that you have a box and you unwrapped the wrapping paper, placing it all flat on the table. By "placing it flat", I mean there are no portions that overlap. A 2D net is useful to help see that surface area is really just area. Specifically, surface area is the total area of each face of the 3D polyhedron.

Can someone plz help me out! With this problem I really need help ASAP! I will mark you as brainiest! Help help ASAP!

Answers

Answer:

Complement 60 Supplement 150

Step-by-step explanation:

the complementary angle is an angle that is added to your original angle of 30° to get 90°

Complementary Angle = 90 - 30°

Complementary Angle = 60°

The supplementary angle is an angle that is added to your original angle of 30° to get 180°

Supplementary Angle = 180 - 30°

Supplementary Angle = 150°

What is the largest possible value
could take given that it must be an integer?
x<5

Answers

An integer is a whole number, so 4 is the answer. This is because it is only less than, not less than or equal too.

What represents the inverse of the function f(x)=4x?

Answers

Answer:

Dear user,

Answer to your query is provided below

The inverse of the function f(x)=4x is y=(x/4)

Step-by-step explanation:

To find the inverse function, swap x and y, and solve the resulting equation for x.

If the initial function is not one-to-one, then there will be more than one inverse.

So, swap the variables: y=4x becomes x=4y.

Now, solve the equation x=4y for y.

y=(x/4)

You are playing a game in which each player wins, loses, or draws (ties) at each turn. For each turn won, you are awarded 5 points. If you lose the turn, you lose 5 points. If it is a draw, you get 0 points. For the first dozen rounds, you had the following results: win, win, draw, win, lose, lose, win, lose, draw, lose, lose, lose. What was your point total for the rounds?

Answers

Answer:

-10 because you lost twice more than you won.

Hope this helps!

In a cookie mix, we find oatmeal cookies,
raisin cookies, and butter cookies in a ratio
of 5:1:3. If a bag of the mix contains 60
butter cookies, how many cookies in total
are there?

Answers

Answer:

100 : 20 : 60 Making the total number of cookies 180

Step-by-step explanation:

Looking at the basic information given we know:

If there are 5 oatmeal cookies, there will be: 1 raisin cookie and 3 butter cookies. This is a base value.

So, we have equations like this:

[tex]r = 1/3b[/tex] and [tex]o = 5/3b[/tex]

So, if we plug in 60 for butter cookies we will have something like this:

[tex]o : r : 60[/tex] or [tex](5/3b) : (1/3b) : b[/tex] where b=60

Solving:

[tex](5/3b) : (1/3b) : b[/tex]

[tex](5/3b) : (1/3b) : 60\\100 : 20 : 60[/tex]

Then add the amounts of together to get 180.

I hope this helps! It's a bit difficult to explain, where I do most of this in my head, but I hope this will be able to provide some understanding to you.

Write the equation of the line that contains the
points (4, -7) and (1,5).

Answers

Answer:

y=-4x+9

Step-by-step explanation:

y=-4x+9

m=y2-y1/x2-x1

m= 5-(-7)/1-4

m=12/-3=-4

y=-7   m=-4   x=4 find b

y=mx+b

-7=4*4 +b

b=-7+16 = 9

27 131 Marks
Altogether, I have 10 bags of sweets.
The mean number of sweets in the bags is 42.
The table shows how many sweets there are in 9 of the bags.
Number of sweets
in a bag
Frequency
39 1
40 2
41 5
42 0
43 1
How many sweets are in the 10th bag?​

Answers

Answer:

The number of sweets in the 10th bag is 53

Step-by-step explanation:

Given

Let the Number of sweets in a bag  be represented by x and frequency be represented by f

The table is as follows

x   F

39 1

40 2

41 5

42 0

43 1

Mean = 42

Required

How many sweets are in the 10th bag?​

Represent the number of sweets in the 10th bag by y;

The table becomes

x   F

39 1

40 2

41 5

42 0

43 1

y   1

The mean of observation is calculated using the following formula;

Mean = ∑fx/∑f

Where ∑ means summation

fx means f * x; i.e. product of frequency and number of sweets

f represents frequency;

Calculating ∑fx

∑fx = 39 * 1 + 40 * 2 + 41 * 5 + 42 * 0 + 43 * 1 + y * 1

∑fx = 39 + 80+ 205 + 0 + 43 + y

∑fx = 367 + y

Calcuating ∑f

∑f = 1 + 2 + 5 + 0 + 1 + 1

∑f =  10

Recall that

Mean = ∑fx/∑f and Mean = 42;

So, Mean = ∑fx/∑f becomes

[tex]42 = \frac{367 + y}{10}[/tex]

Multiply both sides by 10

[tex]42 * 10 = \frac{367 + y}{10} * 10[/tex]

[tex]420 = 367 + y[/tex]

Subtract 367 from both sides

[tex]420 - 367= 367 -367 + y[/tex]

[tex]53 = y[/tex]

[tex]y = 53[/tex]

Hence, the number of sweets in the 10th bag is 53

The total number of sweets in the 10th bag is 53 and this can be determined by using the formula of the mean.

Given :

The total number of bags is 10.The mean number of sweets in the bags is 42.The table shows how many sweets there are in 9 of the bags.

The following steps can be used in order to determine the total number of sweets in the 10th bag:

Step 1 - The formula of the mean can be used in order to determine the total number of sweets in the 10th bag.

Step 2 - The formula of mean is given below:

[tex]{\rm Mean}= \dfrac{\sum f \times x}{\sum f}[/tex]

Step 3 - Now, substitute the values of the known terms from the given table in the above expression.

[tex]{\rm Mean}= \dfrac{39 \times 1+40 \times 2+41 \times 5+42 \times 0+43 \times 1+y \times 1}{1+2+5+0+1+1}[/tex]

Step 4 - Simplify the above expression.

[tex]\begin{aligned}\\42&= \dfrac{367+y }{10}\\y &=53 \\\end{aligned}[/tex]

So, the total number of sweets in the 10th bag is 53.

For more information, refer to the link given below:

https://brainly.com/question/521501

During the annual walk for peace, nina walked a total of six miles more than her husband ed. Their combined mileage was 46. Ed's company pledged to donate $1.00 for each mile that ed and nina walked. How many miles did nina walk?

Answers

Answer:

26miles

Step-by-step explanation:

Let Nina's husband's (Ed) mileage = x miles

Nina = (x + 6) miles

Combined mileage = 46

Nina's miles + Ed's miles = 46

x + (x+6) = 46

x+x+6 = 46

2x +6 = 46

2x = 46-6

2x = 40

x = 40/2 = 20miles

Nina's husband covered 20miles

Nina covered = x+6 = 20+6 = 26miles

Nina walked 26miles

Given the equations below what is the value of n/m?
m-6(n+2)=-8
6n+m=16

Answers

Answer:

[tex]\frac{1}{10}[/tex]

Step-by-step explanation:

[tex]m-6(n+2)=-8\\6n+m=16[/tex]

Rearrange the second equation and substitute it into the first equation.

[tex]m=16-6n\\16-6n-6(n+2)=-8\\16-6n-6n-12=-8\\16-12n-12=-8\\4-12n=-8\\4+8=12n\\12=12n\\n=1[/tex]

Now we can use our value of n, and substitute it into the second equation to solve for m.

[tex]6(1)+m=16\\6+m=16\\m=10[/tex]

Now we can divide our values.

[tex]\frac{n}{m}=\frac{1}{10}[/tex]

if we include the end zones, a football field is 360 feet by 160 feet. What is the area of a football field in square feet? (Reminder: a football field is a rectangle - so to find the area you find length x width).

Answers

Answer:

A = 57,600 feet

Step-by-step explanation:

Area = length x width

A = 360 x 160

i would appreciate if you do a step by step work pls !!

Answers

Answer:

A. 2[tex]\sqrt{3}[/tex]

Step-by-step explanation:

cos 60° = y / 4[tex]\sqrt{3}[/tex]

cos 60° = 1/2

y = 2[tex]\sqrt{3}[/tex]

Can anybody help with this one?

Answers

Answer: (-2,2)

see below

Step-by-step explanation:

Find the lowest common multiple (LCM) of 6, 10 and 14. *
2 points
A. 30
B. 140
C. 210
D. 280

Answers

Answer:

C. 210

Step-by-step explanation:

Plugging it in directly

30/14=2.14 (not an integer)

140/6=23.33 (not an integer)

210/6=35

210/10=21

210/14=15

all of the above result in integers, so the answer is C.

D is not even checked because it is larger than 210

Two options:

First option - list everything (waste time)

6, 10, and 14

6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168, 174, 180, 186, 192, 198, 204, 210

10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210

14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210

Second option - divide each option by the numbers to see if a whole number is the outcome.

30 / 6 = 5
30 / 10 = 3
30 / 14 = 2.14...

140 / 6 = 23.33...

210 / 6 = 35
210 / 10 = 21
210 / 14 = 15

Answer = C. 210

PLZ HELP 15 PTS
If [tex]A=\left[\begin{array}{ccc}2&4&-2\\4&-5&7\\2&7&5\end{array}\right][/tex]and [tex]AB=\left[\begin{array}{ccc}24\\-46\\-2\end{array}\right][/tex], what is the value of matrix B?

Answers

Answer:

C ) B = [tex]\left[\begin{array}{ccc}1\\3\\-5\end{array}\right][/tex]

Step-by-step explanation:

Which equation results from adding the equations in this system? Negative 6 x + 4 y = negative 8. 6 x minus 12 y = 14. Negative 16 y = 6 Negative 8 y = 6 Negative 8 y = negative 22 Negative 16 y = negative 22

Answers

Answer:

-8y = 6

Step-by-step explanation:

-6x+4y = -8

6x -12y = 14

Add the equations

-6x+4y = -8

6x -12y = 14

--------------------

0x -8y = 6

Answer:

Negative 8 y = 6

Step-by-step explanation:

6x + 4y = - 8.... (1)

6x -12y = 14....... (2)

Adding (1) & (2)

- 6x + 4y = - 8

6x - 12y = 14

--------------------

0x -8y = 6

= - 8y = 6

Hope this helps!

True or false: the set of whole numbers is equal to the set of natural numbers

Answers

Answer:

False

Step-by-step explanation:

This statement is false.

The set of whole numbers include the set of Natural numbers "N" = {1, 2, 3, 4, 5, 6, ...}, the set of the negatives of the natural numbers: {-1, -2, -3, -4,...}, and the zero: {0}

We see then that the set of Natural numbers is a subset of the set of whole numbers Z = {... -4,-3,-2,-1, 0,1, 2, 3, 4, 5, ...}

Answer:

false

brainliest to me!

Step-by-step explanation:

0 is a whole number but not a natural number so its false!

Sandra paid $85 for a dress that was on sale for 50% off. What was the original price of the dress?

Answers

Answer:

170$

Step-by-step explanation:

Please help me will mark brainliest

Answers

Answer:

-10

Step-by-step explanation:

A city has a population of 2.8 million people. 45% of the population are male.
How many females live in the city?

Answers

Answer:

1.54 million

Step-by-step explanation:

If 45% of the population are males, then 55% are females. 55%=55/100=0.55. Multiplying this by the total population of the city, you can find that it has 0.55*2,800,00=1.54 million females. Hope this helps!

Answer:

the answer for this question is 1.54×10^6

Step-by-step explanation:

45%- Male

100%-45%=55%

55/100×(2.8×10^6)=1540000

=1.54×10^6

M is directly proportional to r cubed when r = 4 m = 160 work out the value of r when m = 540

Answers

Answer:

So we use a technique called Ratios. If the ratio of r:m = 4:160. We can work out how we can get r if m is equal to 540. First lets make the ratio for it -

r:540. Now we need to get the number 540 and divide it by 160, this will tell us how much we need to multiply by. 540/160 = 4. So now we know that our multiplier is 4. Then we need to multiply 4 by 4 . That gives us 16 therefore the answer to this question is 16.

Brainliest?

This answer took a long time to write, so I hope you appreciate it.

please help me with this question!

A​ cone-shaped vase has height 28 cm and radius 9 cm. An artist wants to fill the vase with colored sand. The sand comes in small​ packages, each of which is a cube with side length 3 cm. At most, how many packages of sand can the artist use without making the vase​ overflow?

Answers

Answer:

87 packages

Step-by-step explanation:

First we need to find the volume of the cone-shaped vase.

The volume of a cone is given by:

V_cone = (1/3) * pi * radius^2 * height

With a radius of 9 cm and a height of 28 cm, we have:

V_cone = (1/3) * pi * 9^2 * 28 = 2375.044 cm3

Each package of sand is a cube with side length of 3 cm, so its volume is:

V_cube = 3^3 = 27 cm3

Now, to know how many packages the artist can use without making the vase overflow, we just need to divide the volume of the cone by the volume of the cube:

V_cone / V_cube = 2375.044 / 27 = 87.9646 packages

So we can use 87 packages (if we use 88 cubes, the vase would overflow)

Answer:

87.97 packs

Step-by-step explanation:

 This problem bothers on the mensuration of solid shapes, a cone

the expression for the volume of a cone is

[tex]v=\frac{1}{3} \pi r^2h[/tex]

Given data

height h= 28cM

radius r= 9cm

substituting the data the data into the expression for the volume we can solve for the volume

[tex]v=\frac{1}{3} *3.142*9^2*28\\\v= \frac{7126.056}{3}\ \\v= 2375.35cm^3\\\\[/tex]

we know that a pack contains a cube, we then need to calculate the volume of a cube in a pack, given that the length of a cube is 3cm

the volume is = [tex]l^3= 3^3= 27cm^3\\[/tex]

now the volume of a pack is [tex]27cm^3[/tex], hence the amount of packs needed to fill the cone is calculated as,

[tex]=\frac{2375.35}{27}\\ = 87.97 packs[/tex]

Hi can any one please help me In math please I don’t know any thing of it

Answers

Answer:

Step-by-step explanation:

volume=area of base×height

area= length×witgh

a)

a=5×4

a=20

v=20×10

v=200 sq. cen.

b)

lol idk how to explain this one

a=153

v=153×16

v=2448 sq. cm.

c)

V = 1/3AH

a= 15×15

a=225

v=1/3 225 17

v=1/3 3825

v=1275 sq. cm.

im to tired to do the rest but i hope i helped with what i did

also that took a long time can i plz get brainilest?

Answer:

a=l times w

Step-by-step explanation:

give her brainilest. that’s why i answered some she can get brainilest

If 2x + y = 32 and 3x + 4y =68 find the value of x/y

Answers

Answer:

Step-by-step explanation:

I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thnk me...

Please help! Correct answer only please! I need to finish this assignment by today.

At a T-shirt stand on the boardwalk, 7 of the last 14 shirts sold were green. What is the experimental probability that the next shirt sold will be green?

Simplify your answer and write it as a fraction or whole number.

P(green) =

Answers

Answer:

1/2

Step-by-step explanation:

Since there are a total of 14 t shirts and 7 of them were green, the experimental probability that the next one is also green is 7/14=1/2. Hope this  helps!

Which point is between points c and e

Answers

Answer:

the answer is D

Step-by-step explanation:

Find the slope of the line y=5x+4

Answers

Answer:

Slope = 5

Step-by-step explanation:

y = mx + b

m = slope

Slope = 5

Answer:

5

Step-by-step explanation:

Since this is written in slop-intercept form (y = mx + b where m is slope and b is y-int.) the slope is 5.

Need help with this question plz

Answers

Answer:

28.26 inches

Step-by-step explanation:

The diameter of the wheel is 3, so the circumference, or distance around the wheel, is 3.14 * 3 (pi times diameter)= 9.42. The wheel goes around 3 times, so 9.42*3=28.26

Other Questions
PLEASE HELP!!!El cuerpo est ________. seca secas seco secos Which region of the world is most closely connected to the eastern coast of africa? A) Antarctica B) Europe C) South Asia D) The Americas In the Metric System: As you move from a smaller unit to a larger unit, the number of larger units required will be LESS. Therefore the decimal point will always move to the LEFT when you want to make a number smaller because the unit is larger. is it true or false? What molecule makes the trunk of a tree sturdy?O A. FructoseO B. DisaccharideC. CelluloseO D. Glucose i need help on this asap Given the information in the diagram, which theorem bestjustifies why lines e and f must be parallel?alternate interior angles theoremsame side interior angles theoremconverse of the alternate interior angles theoremconverse of the same side interior angles theorem write down the exact value of a. cos 30 degreesb. sin45 degreesc. tan 30 degrees what are their means and extremes of the following proportion Can someone please explain what I did wrong here? Thank you! A restaurant has 75% of its tables being used. Which ratio compares the used tables with all the tables in the restaurant? A. 50:100 B. 25:75 C. 25:100 D. 15:20 Which letter represents the wavelength of the wave?AAbOA. aOB. bOC.ODd Isabella wants the distribution of money spent on advertising to match the distribution of profit gained from each product. IfIsabella has a budget of $22.5 million, how much should she allocate for ads for peripherals, to the nearest hundred thousanddollars?a. $9.7 millionb. $7.3 millionc. $4.1 milliond. $2.2 million Choose the slope and y-intercept thatcorrespond with the graph. Methods in electrochemistry that can be used for the separation of proteins and enzymes? Can some text me and help me with all my e2020Will be Marked brainliest and extra points A. Yes B. No do it your self Assume that you manage a risky portfolio with an expected rate of return of 17% and a standard deviation of 27%. The T-bill rate is 7%. You estimate that a passive portfolio invested to mimic the S&P 500 stock index yields an expected rate of return of 13% with a standard deviation of 25%. What is the slope of the CML? (Round your answer to 2 decimal places.) 7/8 (5/6) in simplest form What is chemistry?A. the study of living things and how they changeB. the study of matter and how it changesC.The study of matter and how it movesD. The study of what living things are made ofWILL MARK MOST BRAINIEST OR LIKE ALL YOUR TIK TOKS L M A O Quality Jewelers uses the perpetual inventory system. On April 2, Quality sold merchandise for $50,000 to a customer on account with terms of 3/15, n/30. The allowances and returns on this sale amounted to $3,000 and $9,000, respectively. The cost of goods sold was $20,000. On April 20, Quality received payment from the customer. Calculate the amount of gross profit. I put in 6.32 for A but its still saying its wrong and I need the , I only need to answer this right to pass my summer school class someone please help me !