a picture frame is 4 inches taller than it is wide and has an area of 192 square inches. What are the dimensions of the picture frame? using the quadratic method

thank you :)

Answers

Answer 1

Answer: width is 12, length is 16

Step-by-step explanation:

A= l*w

l=w+4

A=w(w+4)

[tex]A=192\\192=w^{2} +4w\\0=w^{2} +4w-192[/tex]

factor

(w+16)(w-12)

w= -16 or w=12

width is 12, length is 16


Related Questions

Answer this please. I need it done in 5 minutes ASAP. Thank you

Answers

Answer:

x = 6

Step-by-step explanation:

Each side of the triangle = x cm

Each side of the square = (x - 1.5) cm

Given that the perimeter of both shapes are equal, thus, set the perimeter of the triangle equal to the perimeter of the square to solve for x.

Perimeter of triangle = 3(x) = 3x cm

Perimeter of square = 4(x - 1.5) = 4x - 6

Therefore:

Perimeter of triangle = perimeter of square

Substitute

3x = 4x - 6

Subtract 4x from each side

3x - 4x = -6

-x = -6

Divide both sides by -1

x = -6/-1

x = 6

The cost of interest of a $500 loan for 12 months is $21.88. What is the
interest rate charged for the loan per year?

Answers

Answer:

4.376%

Step-by-step explanation:

$21.88/$500 x 100= 4.376%

I apologize for the messy photo but please help me with this, I’m really confused! Thank you so so so much.

Answers

1)+4

2)-4

3) 2

4) i don't know

5)

Answer: (-2)²=4

-2²=-4

square root of 4 is 2

1 over the square root of 8 is -2

1 aquare root of -8 is 2,-2

Step-by-step explanation:plug them into calculator

I need help this is so hard.

Answers

Answer= A

Explanation- it is the only one who does not fit in


Determine the
circumference
when the
radius is 16.
and please show me how you got the answer​

Answers

Answer:

100.48

Step-by-step explanation:

Step 1: Find the diameter

16 × 2 = 32

Step 2: Multiply by pie (Usually just 3.14)

32 × 3.14 = 100.48

11 points pls help moby max

Answers

Answer:

Sum of given fraction = 13 / 15

Step-by-step explanation:

Given fraction:

2/3 + 1/5

Find:

Sum of given fraction

Computation:

⇒ 2/3 + 1/5

Step 1 :

By taking LCM of Denominator 3 and 5

⇒ LCM of 3 and 5 is 15

So,

2 multiply by 5 and 1 multiply by 3 and add after multiply

Sum of given fraction ⇒ [(2 x 5) + (1 x 3)] / 15

Sum of given fraction ⇒ [10 + 3] / 15

Sum of given fraction = 13 / 15

Alex, Ben, Chuck, and David all called in to a radio show to get free tickets to a concert. List all the possible orders in which their calls could have been received.​

Answers

I don’t get what ur tryna say

Write the explicit rule
50, 45, 40, 35, 30

Answers

Answer:

a_n = 50 - 5n, for n = 1,2, 3, ...

Step-by-step explanation:

a_1 = 50

a_2 = 50 - 5 = 45

a_3 = 50 - 2 * 5 = 40

a_n = 50 - (n - 1) * 5

a_n = 50 - 5n + 5

a_n = 50 - 5n

Answer:

an = -5n + 55.

Step-by-step explanation:

This is arithmetic with common difference -5.

an = a1 + d(n-1)

an = 50  - 5(n - 1)

an = 50 - 5n + 5

an = -5n + 55.

Please help me with this

Answers

Answer: you should study, plus give me brainliest please. lol

Step-by-step explanation:

and the other answer might be a bot sending links to websites with malware, please dont .open the link unless you want malware on your device, if its fake. and you cant make websites/ links just to post answers. this is a warning.

Help I over slept and only have one period to finish this test!!

Answers

Answer:

68°

Step-by-step explanation:

Okay, so m<8 is on the same plane as m<7 because line q is intersecting line t  and that's supposed to add up to 180° so:

180° - 112° = 68°

So, m<7 = 68°

hope this helps:)

68* explanation: to find that you need to subtract 180 minus 112

What is the mean absolute deviation of each swim club?
A:5
B:50
C:0
D:10

Answers

Answer:

c

Step-by-step explanation:

a stereo system cost $4,800. It depreciates 12% a year. How much is the system worth after 2 years?​

Answers

Answer:

$3717.12

Step-by-step explanation:

The depreciation per year is 100% - 12% = 88% = 0.88

value after 2 years = $4800 ( 0.88)² = $3717.12

Step-by-step explanation:

3717.21$ is the system worth after 2 years

WILL MARK BRAINLIEST W 20 POINTS
What is most likely the line of best fit for this scatter plot? Graph shows numbers from 0 to 14 at increments of 1 on the x axis and numbers from 0 to 22 at increments of 2 on the y axis. Scatter plot shows ordered pairs 1, 4 and 2, 7 and 3, 9 and 4, 10 and 5, 10 and 6, 12 and 7, 14 and 8, 15 and 9, 16 and 10, 18 and 11, 20 and 12, 22. A line labeled A joins ordered pair 0, 2.5 and 12.5, 22. A line labeled B joins ordered pairs 0, 3.5 and 14, 16. A line labeled C joins ordered pairs 0, 3.5 and 14, 11. A line labeled D joins ordered pairs 0, 4 and 14, 5.5. Line A Line B Line C Line D

Answers

Answer:

huh i dont get it

Step-by-step explanation:

The two cones below are similar. What is the height of the larger cone?

A.
28

5

В.
35

4

C.
20

7

D.
5

Answers

Answer:

b

Step-by-step explanation:

i dont know

its a guess

The height of the larger cone is 35/4.

What are Similar Figures?

Similar figures are those figures which are having the same shape, but the sizes are different.

The dimensions of the similar figures will be proportional.

So the heights and the radius of the smaller and the larger cone are proportional.

Using the concept,

x / 5 = 7 / 4

Cross multiplying,

4x = 35

x = 35/4

Hence the height of the larger cone is 35/4.

Learn more about Similar figures here :

https://brainly.com/question/20368229

#SPJ7

Weather affects flights across the nation, causing delays, cancellations, and general disruption to the NAS. You have gathered a random sample of departures delayed due to weather from your airport (KXYZ) for the month of April through July. You know that across America, weather delayed an average of 59 flights per day (σ =34.83) during that time period. You want to know if weather delays on flights from your airport differ significantly from those across the nation. Your significance level is set at 0.05. Analyze the data below using the correct t-test and be sure to check assumptions of the data.

Answer the following questions:

a. What type of t test should be used to address this research question, and why?
b. What is the null hypothesis?
c. What is the alternative hypothesis?
d. What is the mean and standard deviation for amount of the population?
e. What is the mean and standard deviation for the sample?
f. What are the degrees of freedom? How do you compute it?
g. What is the effect size (Cohen’s d) if applicable?
h. What is the test value?
i. What is the t statistic?

Answers

Answer:

a.) one sample t test

b.) H0 : μ = 59.3

c.) H1 : μ > 59.3

d.) μ = 59.3 ; σ = 39.84

e.) xbar = 79.4 ; s = 61.36

Test statistic = 3.16

Step-by-step explanation:

Given the sample data:

49.00 49.00 49.00 49.00 49.00 63.00 63.00 63.00 63.00 63.00 199.00 199.00 199.00 199.00 199.00 38.00 38.00 38.00 38.00 38.00 48.00 48.00 48.00 48.00 48.00 49.00 63.00 199.00 38.00 48.00

Sample size, n = 30

Using calculator :

xbar from the data above = 79.4

Standard deviation = 61.359

H0 : μ = 59.3

H1 : μ > 59.3

Test statistic :

(Xbar - μ) ÷ (σ/sqrt(n)

σ = 34.83

(79.4 - 59.3) ÷ (34.83/sqrt(30))

20.1 ÷ 6.359

Test statistic = 3.16

Augusto wants to prove to his parents that watching TV while he does his homework will help him get better grades. He decides to ask 20 of his friends if they watch TV while they do their homework and what their grades are. He finds that his friends who have high grades also watch TV while they do their homework. He tells his parents that he has proven that watching TV while doing homework will cause his grades to improve. What mistake has Augusto made?

Answers

Answer:

Augusto was biased and only asked his friends

Step-by-step explanation:

Augusto should've asked 20 random people, since the people he hangs around the most probably have the same habits

This was not a fair collection of data

He did not use a random sample, and he tried to show cause and effect with an observational study

John put $3,000 in his savings at 2% annually for 3 years. What did he earn in simple interest? A $60 B. $180 O c $600 OD. $1,800​

Answers

Answer:

b

Step-by-step explanation:

Answer:

$ 180

Step-by-step explanation:

Simple Interest= P×R×T/100 ( Principal,rate,time)

So,

3000×2×3/100 (cancelling 3000 by 30)

30×2×3=30×6=180 Answer

Simplify the following expression. x(x - 3) - 4(x2 + 7)

Answers

-3x^2 (2 squared) - 3x -28

Answer:

[tex]x^{2} -11x-28[/tex]

Step-by-step explanation:

We start of with this.

[tex]x(x-3)-4(2x+7)[/tex]

First, use the distributive property, and distribute the x to the (x-3) to get: [tex]x^{2} -3x-4(2x+7)[/tex]

Next, distribute the -4 to the (2x+7) to then get:

[tex]x^{2} -3x-8x-28[/tex]

Then, combine like terms. In this case, combine -3x and -8x since they are alike and get:

[tex]x^{2} -11x-28[/tex]

The answer is already in standard form, so we're done. To write a polynomial in standard form, write the monomial with the variable, with the largest exponent first. In this case, [tex]x^{2}[/tex] goes before [tex]-11x[/tex] because of the exponent of 2. Monomials without a variable go last, so that's why -28 is last.

Find the x
please will give brainliest

Answers

Answer: 90

Explanation:
I think the answer is 90

Write your answer using integers, proper fractions and improper fractions in the simplest form
PLEASE HELP

Answers

Answer:

y = ⁷/5x + 13/10

Step-by-step explanation:

Recall: equation in slope-intercept form is given as y = mx + b

Thus, let's rewrite 14x - 10y = -13 in this form.

14x - 10y = -13

Add -14x to both sides

-10y = -14x - 13

Divide both sides by -10

-10y/-10 = -14x/-10 - 13/-10

y = ⁷/5x + 13/10

A farmer of a large apple orchard would like to estimate the true mean number of suitable apples produced per
tree. He selects a random sample of 40 trees from his large orchard and determines with 95% confidence that the
true mean number of suitable apples produced per tree is between 375 and 520 apples. Which of the following can
be accounted for by the margin of error of this interval?
OOO
response bias
nonresponse bias
sampling variation
undercoverage bias

Answers

Answer:

Sampling variation

Step-by-step explanation: took the quiz

The option that the margin of error accounts for in the given interval is sampling variation.

What is sampling variation?

This refers to the fact that in a sample, there will be a difference between the variables seen.

This variation is the reason why there is a margin of error in intervals because we need to introduce a range that the relevant variable will fall into.

Find out more sampling variation at https://brainly.com/question/14514626.

#SPJ6

Please? I really need this answer if you can

Answers

From two to three there are 8 gaps and it is up to 7 so
Third answer 2 7/8

Pls help me cri I'm almost done and it's 2 am

Answers

Answer:

Huh? what do you mean?

Step-by-step explanation:

Ben is throwing a ball across a 48-yard field. He threw it of the way across the field. How far did Ben throw the ball?

Answers

Answer: He threw it 48 yards

Step-by-step explanation:

express using exponents 10^8x10^4=

Answers

Answer:

1e+12

Step-by-step explanation:

because 8 exponents of 10 would be    i cannot count and 4 exponents of 10 is 10,000.

Any Questions?

How many fewer hot dogs were sold on Wednesday than Tuesday?

Answers

Answer:

30 hot dogs fewer.

PLEASE HELP ASAP WILL GIVE BRANLIESTKayla is installing a rectangular play area in her backyard so her new puppy can run around. After installing 42 feet of fence for the play area, she still has 12 feet of fence left to install. 12 + p = 42 or p - 42 = 12
Let p represent the perimeter of the play area. Which equation models the problem?
Solve this equation to find the perimeter of the play area.
_____________ feet

Answers

Answer:

The equation is P - 42 = 12

P = 54

Step-by-step explanation:

Solve the simultaneous equations
4x+3y=11
2x-y=-2

Answers

Answer:

[tex]x = \frac{1}{2} [/tex]

[tex]y = 3[/tex]

Step-by-step explanation:

Multiply the bottom equation by -2.

[tex] - 2( - 2x - y = - 2) = - 4x + 2y = 4[/tex]

Add the new equation to top equation.

[tex]5y = 15[/tex]

[tex]y = 3[/tex]

Know plug 3 in one of the equations to find x.

[tex]4x + 3(3) = 11[/tex]

[tex]4x = 2[/tex]

[tex]x = \frac{1}{2} [/tex]

Answer:

( [tex]\frac{1}{2}[/tex], 3 )

Step-by-step explanation:

Given the 2 equations

4x + 3y = 11 → (1)

2x - y = - 2 → (2)

Multiplying (2) by 3 and adding to (1) will eliminate the y- term

6x - 3y = - 6 → (3)

Add (1) and (3) term by term to eliminate y

10x + 0 = 5

10x = 5 ( divide both sides by 10 )

x = [tex]\frac{1}{2}[/tex]

Substitute x = [tex]\frac{1}{2}[/tex] into either of the 2 equations and solve for y

Substituting into (1)

4 ([tex]\frac{1}{2}[/tex] ) + 3y = 11

2 + 3y = 11 ( subtract 2 from both sides )

3y = 9 ( divide both sides by 3 )

y = 3

solution is ( [tex]\frac{1}{2}[/tex], 3 )

(x^2y^-2)^3/yx^-4 please help

Answers

Hey is there a way you could send a photo of the equation

Solve for x using
cross multiplication.
2x=4 =
2x – 4
3
x + 1
2
x = [?]
Enter

Answers

Answer:

11

Step-by-step explanation:

cross multiply - 2(2x-4) = 3(x=1)

4x - 8 = 3x + 3

4x - 3x = 3 + 8

x = 11

Answer:

x = 11

Step-by-step explanation:

2(2x-4) = 3(x+1)

4x-8=3x+3

4x-3x=3+8

x=11

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