The tength of a picture frame is 12 cm more than twice the width. If the perimeter is 204cm, find the
dimensions (length and width) of the frame.

Answers

Answer 1

Answer:

30cm x 72 cm

Step-by-step explanation:

The perimeter is the measurements of all sides added together. Let's start by dividing the perimeter by 2, so we have the sum of the length and width. This gives us 102cm. Let's call the width x, and the length y. We know y is x times 2 plus 12. (2x + 12) So, we know [x + y = x + (2x + 12)]. So let's solve.

x + y = x + (2x + 12)

102 = x + (2x + 12)

102 = 3x + 12

102 - 12 = 3x + 12 - 12

90 = 3x

90/3 = 3x/3

30 = x

The width is 30cm.


Related Questions

what is the slope of this line? y=-3x+1

Answers

Answer:

The slope is -3, also written as -3/1.

Answer:

-3

Step-by-step explanation:

it is simply the (m) in y = mx + b

m is the slope

and b is the y intercept

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Help pls, I’m confused

Answers

Answer:

(x + y)² = 25

Step-by-step explanation:

The expansion of (x + y)² is

(x + y)² = x² + y² + 2xy ← substitute x² + y² = 15 and xy = 5

           = 15 + 2(5)

           = 15 + 10

           = 25

Pat bought 6 shirts that were all the same price. He used a traveler's
check for $25, and then paid the difference of $86. What was the
price of each shirt?

Answers

Answer:

Each shirt costs $18.50

Step-by-step explanation:

Questions such as these usually involve quite simple calculations, but they are important in being able to convert a scenario described in words into math calculations.

First, read the information carefully and then summarize what you are given in short sentences. Pat bought  6  shirts.  He paid using a check and cash.

The total amount paid was  $ 25  +  $ 86  =  $ 111

The shirts all cost the same price.

The cost of each shirt was:  111  ÷  6  =  $ 18.50

Answer:

Each shirt was 18.50

Step-by-step explanation:

The total cost of the 6 shirts was 25+86 = 111

Divide the total by 6 to find the cost of each shirt

111/6 =18.5

Each shirt was 18.50

Ranking brainliest if correct :)) thanksss

Answers

Answer:

Y=40 X=75

Step-by-step explanation:

i think im not 100% on that, been a long time since i did stuff with triangles

Answer:

gdjksbdifkfnfuwiaksujdbf


Instructions: Find the equation of the line through point (3, 4) and perpendicular to y = –2x – 4

Answers

Answer:

y=1/2x+5/2

Step-by-step explanation:

y=ax+b

vuông góc với y = –2x - 4 ⇒a.(-2) =-1⇒a=1/2

phương trình của đường thẳng đi qua điểm (3, 4) ⇒4=3.1/2+b⇒b=5/2

⇒y=1/2x+5/2

What are the characteristics of the graph of the inequality x ≥ -2? The ray will move to the left. The ray will move to the right. It will use an open circle. It will use a closed circle.(multiple answers) ​

Answers

Answer:

Step-by-step explanation:

The inequality x ≥ -2 is graphed on a number line.  -2 is the smallest possible value.  All subsequent values are larger and therefore lie to the right of -2.

Thus, the following are true:

1.  The ray will move to the right (because x begins at -2 and increases, which means moving to the right on the number line).

2.  It will use a closed circle (because x = -2 is part of the solution set).

Answer: The ray will move to the right and it will be a closed circle.

PLEASE HELP ME PLS!!!!!!!!!

Answers

A. 14 ft
B. 4 seconds
C. 9.25 seconds

Which interval or union of intervals represents the values for which ​f(x)​ is ≤ 0? Select the correct choice below and fill in the answer boxes to complete your choice.

Answers

Answer:

(-∞, -1]∪{5}

Step-by-step explanation:

We know that:

f(x) ≤ 0 is true if the graph of the function is intersecting the x-axis or below the x-axis.

So we can just look at the graph, we can see that in the interval:

(-∞, -1]   (the value x = -1 is included, that is why we use the symbol ] instead of the parenthesis)

the graph is below or intersecting the x-axis

and this also happens at x = 5 or just denoted as {5}

Then the correct notation is:

(-∞, -1]∪{5}

simplify the complex fraction.

Answers

Answer: 2/5

Step-by-step explanation:

14/6 - 15/6 divided -5/12

-1/6 / -5/12

2/5

hope this helps!

What are the domain and range of the function f(x)= x+5?

Answers

Answer:

top answer, domain and range have no restrictions

Step-by-step explanation:

Answer my this question too plsss

Answers

The answer is in the link below I couldn't write it on Brainly bc my computer was being wack, but I hope I can help, I didn't only give the answer but there is a step by step so that should help you out a bit. Good Luck!!!!!!

Bob's Hardware sells buckets in five different sizes. The tiny bucket holds 5
quarts, the small holds 10 quarts, the medium holds 20 quarts, and the large
holds 40 quarts. How many quarts will the extra-large bucket hold?
A. 80 quarts
B. 90 quarts
C. 60 quarts
D. 50 quarts
SUBMIT

Answers

Answer:

C. 60

Step-by-step explanation:

it's counting times 2

2) Find the remainder when x3 + x2 - 20 is divided by
(x + 2) by using remainder theorem.
{ANS: R = -24}​

Answers

Answer:

Remainder = –24

Step-by-step explanation:

x³ + x² – 20 divide by x + 2

We can obtain the remainder when

x³ + x² – 20 is divided by x + 2 using the remainder theorem as follow:

We'll begin by calculating the value of x from x + 2. This is illustrated below:

x + 2 = 0

Collect like terms

x = 0 – 2

x = –2

Finally, we shall determine the remainder by substituting –2 for x in

x³ + x² – 20. This is illustrated below:

x³ + x² – 20

x = –2

Remainder = (–2)³ + (–2)² – 20

Remainder = –8 + 4 – 20

Remainder = –24

Therefore, the ramainder when

x³ + x² – 20 is divided by x + 2 is –24

Math. please help. .....................​

Answers

Answer:

10.1

Step-by-step explanation:

nearest possible answer

Answer:

AC=10.1

Step-by-step explanation:

2accosB=a²+c²-b²

2×7×13cos 50=7²+13²-AC²

182cos50=49+169-AC²

AC²=218-182 cos50

AC=√(218-182 cos 50)≈10.0505≈10.1

What are the x-intercepts of the equation y=4x^2-16

Answers

Answer:

x = ± 2

Step-by-step explanation:

To find the x- intercepts let y = 0 , that is

4x² - 16 = 0 (add 16 to both sides )

4x² = 16 ( divide both sides by 4 )

x² = 4 ( take the square root of both sides )

x = ± [tex]\sqrt{4}[/tex] = ± 2

The x- intercepts are x = - 2 and x = 2

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

given the similar triangles at the left, identify the scale factor.

PLEASE HELPPPPPPPPPPPP

Answers

The scale factor is 1/3.

To find this scale factor, choose a set of sides to compare lengths. For example, taking the left sides of the triangles, which is 9 and 3. 9 is 3 times bigger than the triangle on the right, so that gives us the scale factor of 1/3.

A dealer paid $7,000 for a car at an auction. At the dealership, a salesperson sold the car for 30% more than the auction price. The salesperson received a commission of 25% of the difference between auction price and the dealership price. What was the sales person’s commission?

Answers

30% of $7000 is $2100
25% of $2100 is $525

Here Tran posted it

Answers

Step-by-step explanation:

1. I estimate that the error in measuring the area of the lot is about 10% so we write the area as 400 sq ft +- 10%, which means that the lot can be as small as 360 sq ft or as large as 440 sq ft. We tack on 15% more on the number of pieces of sod to account of the plot's irregularities. Since each piece of sod is 2 sq ft, the number of pieces we must get is 440/2 = 220 pieces +- 15% or 253 pieces

2. The nominal value is jus the average weight which is 59.5 g. The tolerance is (3.5g/59.5g)×100% = 5.88% and the measurement range is from 56g to 63g.

Please answer it all this is very important

Answers

Answer:

6.)

The answer is 63 inches because this value is closer to the mean and while the data is positively skewed (as in the mean is greater than the median) it's not by that much.

7.)

This would mean that the data is symmetric. By this, I mean that there would have to be an equal amount of data on either side of the mean. For example, for every entry 2 units below from the mean there must be one 2 units above the mean and so on. There would also have to be many entries on the mean/median (so that it would also be the mode)

8.)

We can observe that there are no real outliers that would heavily influence the data and so we can just take the mean

the mean of student A is: (68+72+73+67)/4= 70

The mean of student B is: (74+73+73+74)/4=73.5

We can see that student A, on average, is closer to 70 than student B and can therefore conclude that student A is more percise

What is the measure of arc DEF?​

Answers

Answer:

c

Step-by-step explanation:

I don’t understand help

Answers

You can see that the MNO triangle is similar to MKL  then  [tex]\displsystyle\ \frac{NO}{KL} =\frac{x}{ML} => \frac{12}{22} =\frac{x}{27,5} => x=\frac{12\cdot 27,5}{22} =15[/tex]                                                                  [tex]\displaystyle\ Answer: \boxed{x=15}[/tex]

 

The image of a parabolic lens is projected onto a graph. The image crosses the x-axis at –2 and 3. The point (–1, 2) is also on the parabola. Which equation can be used to model the image of the lens?

y = (x – 2)(x + 3)
y = (x – 2)(x + 3)
y = (x + 2)(x – 3)
y = (x + 2)(x – 3)

Answers

Given:

The image of a lens crosses the x-axis at –2 and 3.

The point (–1, 2) is also on the parabola.

To find:

The equation that can be used to model the image of the lens.

Solution:

If the graph of polynomial intersect the x-axis at c, then (x-c) is a factor of the polynomial.

It is given that the image of a lens crosses the x-axis at –2 and 3. It means (x+2) and (x-3) are factors of the function.

So, the equation of the parabola is:

[tex]y=k(x+2)(x-3)[/tex]          ...(i)

Where, k is a constant.

It is given that the point (–1, 2) is also on the parabola. It means the equation of the parabola must be satisfy by the point (-1,2).

Putting [tex]x=-1, y=2[/tex] in (i), we get

[tex]2=k(-1+2)(-1-3)[/tex]

[tex]2=k(1)(-4)[/tex]

[tex]2=-4k[/tex]

Divide both sides by -4.

[tex]\dfrac{2}{-4}=k[/tex]

[tex]-\dfrac{1}{2}=k[/tex]

Putting [tex]k=-\dfrac{1}{2}[/tex] in (i), we get

[tex]y=-\dfrac{1}{2}(x+2)(x-3)[/tex]

Therefore, the required equation of the parabola is [tex]y=-\dfrac{1}{2}(x+2)(x-3)[/tex].

Note: All options are incorrect.

If triangle ABC is similar to triangle PQR, which equation is true?
AB/PO = 1
AB = PO
AB/PO = BC/QR
AB /PO = QR/BC

Answers

Answer:

AB/ PQ = BC/QR

Step-by-step explanation:

In similar triangles, ratio of corresponding sides are equal.

So, [tex]\frac{AB}{PQ}= \frac{BC}{QR}=\frac{AC}{PR}[/tex]

Kwame and Ama shared an amount of money in the ratio 5:4 respectively. If Kwame had GHC 9.00, how much did they share?

Answers

Answer:

They shared GHC16.2

Step-by-step explanation:

Here, we want to get the amount shared

Let us call the amount x

Total ratio is 5 + 4 = 9

Kwame had GHC 9

Thus;

5/9 * x = 9

5 * x = 9 * 9

5x = 81

x = 81/5

x = GHC 16.2

list all of the elements of the set (multiples of 4 less than 20)

Answers

Answer:

A(4,8,12,16) is the answer

What is all numbers that equal to 4 in Multiplication

Answers

The answer is:

2x2
1x4

Answer:

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, …

What is the value ???????
Help!

Answers

Answer:

please give brainiest

thank you

Answer:

Its 16 (-1/2)^-4=16 then

What is the cube root of 216x^9y^18 ?


A: 4x^3y^6
B: 6x^3y^6
C: 72x^6y^15
D: 213x^6y^15

Answers

[tex]4 {x}^{3} {y}^{6} [/tex]

OPTION A

Answer:

option B

Step-by-step explanation:

Cube root of x means  [tex]x^{\frac{1}{3}[/tex]

Formulas used :

[tex](a^x)^y = a^{xy}[/tex]

[tex](b^3)^{\frac{1}{3}} = b[/tex]

Therefore cube root of :

                   [tex](216 x^9 y^{18})^{\frac{1}{3}} = (6^3 \times (x^3)^3 \times (y^6)^3)^{\frac{1}{3}}[/tex]

                                     [tex]= (6^3)^{\frac{1}{3}} \times ((x^3)^3)^{\frac{1}{3}} \times ((y^6)^3)^{\frac{1}{3}}[/tex]

                                     [tex]= 6 \times x^3 \times y^6[/tex]

                                     [tex]=6x^3y^6[/tex]

The product of two numbers is 1008 and their HCF is 12. The LCM of these numbers is (a) 75 (b) 78 (c) 84 (d) 96​

Answers

Answer:

(c) 84

hope this helps!!!!

Which table represents exponential growth?

Answers

Step-by-step explanation:

the second is ur answer

x|y

1|2

2|4

3|8

4|16

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