Help help help math math

The width of the mat around the photo is 3 inches

The combined area of the of the photo and math = 224 square inches

The combined area is represented as:

(2w +8)(2w + 10) = 224

Expand the equation using the distributive rule

[tex]4w^2+20w+16w+80=224\\\\4w^2+36w+80-224=0\\\\4w^2+36w-144=0[/tex]

Divide through by 4

[tex]w^2+9w-36=0[/tex]

Factorize the resulting quadratic equation to solve for w

[tex]w^2-3w+12w-36=0\\\\w(w-3)+12(w-3)=0\\\\(w-3)(w+12)=0[/tex]

w  -  3  =  0

w   =  3

w  +  12  =  0

w   =  -12

The width of the mat around the photo is 3 inches

Learn more on area here: https://brainly.com/question/20968176

The width of the mat around the photo is 3 inches

Combined area:

2w +8)(2w + 10) = 224

where,

w = width of the mat around the photo

(2w +8)(2w + 10) = 224

open parenthesis

4w² + 20w + 16w + 80 = 224

4w² + 36w + 80 - 224 = 0

4w² + 36w - 144 = 0

divide through by 4

w² + 9w - 36 = 0

solve quadratic equation using factorization method

w² + 12w - 3w - 36 = 0

w(w + 12) - 3(w + 12) = 0

(w + 12) (w - 3) = 0

w + 12 = 0 or w - 3 = 0

w = -12 or w = 3

The width of the mat around the photo cannot be a negative value.

Therefore, the width of the mat around the photo is 3 inches

Learn more about quadratic equation:

https://brainly.com/question/1214333

Answer:

the answer would be 12 I say this because 72 divied by 6 would equal 12

Answer:

12 dollars

Set up a proportion.

6/72=1/x

Solve by cross-multiplying (my preferred method) and then you will end up with the final answer of x=12.

12 is the answer :)

PLEASE MARK BRAINLIEST!

THANK YOU & HAVE A WONDERFUL DAY :))

Answer:

3+3+3+3

Step-by-step explanation:

Hopefully I didn't get confused

3^4 vs 3+3+3+3 vs (3^2)(3^2) vs 3x3x3x3

Well the best way to do it is to do each

3^4=81

3+3+3+3=12

3^(2+2)=81

3x3x3x3=81

Therefore 3+3+3+3 is not equilvilent

Answer:

-4

Step-by-step explanation:

rise over run

rise being y axis

run being x axis

in this case y intercept is 4 and x intercept is1

Answer:

D: {-2, 0, 2}

R: {-1, 1, 3

The number of tables with 4 chairs are 39.

We have a café which has 60 tables. 35% of the tables have 2 chairs at each table. The remaining 65% of the tables have 4 chairs at each table.

We have to determine the number of tables having 4 chairs.

The 10% of 250 will be -

[tex]\frac{10}{100} \times 250[/tex] = 25

According to question, we have -

Percentage of tables with 2 chairs = 35%

Percentage of tables with 4 chairs = 65%

Total number of tables = 60

Therefore -

Number of tables with 2 chairs = [tex]\frac{35}{100} \times 60[/tex] = 21

Therefore, number of tables with 4 chairs will be = 60 - 21 = 39

Hence, the number of tables with 4 chairs are 39.

To solve more questions on Percentage, visit the link blow -

https://brainly.com/question/14196705

#SPJ2

There are 39 tables that have 4 chairs.

i.e. the number  of tables with 4 chairs is: 39.

Here, we have to find the number of tables that have 4 chairs, we first need to calculate how many tables have 2 chairs, and then subtract that number from the total number of tables.

Given that 35% of the tables have 2 chairs, we can calculate the number of tables with 2 chairs as follows:

Number of tables with 2 chairs = 35% of 60 tables

Number of tables with 2 chairs = 0.35 * 60

Number of tables with 2 chairs = 21 tables

Now, to find the number of tables with 4 chairs:

Number of tables with 4 chairs = Total number of tables - Number of tables with 2 chairs

Number of tables with 4 chairs = 60 tables - 21 tables

Number of tables with 4 chairs = 39 tables

So, there are 39 tables that have 4 chairs.

To learn more on percentage click:

brainly.com/question/13450942

#SPJ3

Answer:

  solutions

Step-by-step explanation:

Another term for the roots or x-intercepts of the standard-form quadratic equation is "solutions." These are the values of x that make the equation true.

Answer:

3

Step-by-step explanation:

235 + 23

She uses 235, so 23 is left

235 + something + something = 235 + 23

235 + 20 + something = 235 + 23

subtract 235 from both sides

20 + something = 23

20 + something = 20 + 3

the missing number is 3

The missing number is 3.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given:

Kenya uses mental math to find the sum of 235 and 23.

She uses mental math.

That means,

she breaks the term in simple manner.

And she uses 235, 20, and one other number.

And the other number is 23 - 20 = 3

So, addition,

235 + 23

= 235 + 20 + 3

= 258

Therefore, the required number is 3.

To learn more about the addition;

brainly.com/question/29464370

#SPJ5

Answer:

Step-by-step explanation:

(x + 200)20 = 200(10) + x(40)

20x + 4000 = 2000 + 40x

2000 = 20x

X = 100 mL

Answer:

4606

Step-by-step explanation:

5234 · 0.12 = 628

5234 - 628 = 4606

Answer:

The answer to this question should be C: 4605.

Step-by-step explanation:

For this problem we need to know what 12% of 5,234 is. 12% of 5,234 is 628.08. Since their was a decrease in visitors we need to subtract 5,234-625.08=4,605.92. The probelm states that we need to find the "Approximate number", so have the .92 doesnt matter. So therefore the answer to this probelm is C: 4605.

yw :)

Step-by-step explanation:

12 - 1/2r = ( 13 - 3/2r ) - ( 1 - r )

r - 13/6 = ( 7r - 3/2 ) - ( 2/3 + 6r )

13r + 20 = ( 6r + 7 ) + ( 13 + 7r )

-12 + r = ( -8 - r ) + ( 2r - 4 )

Answer:

y=2x-5/2

Step-by-step explanation:

f(x)=(2x+5)/4

y=(2x+5)/4

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

x=(2y+5)/4

2y+5=4*x

2y+5=4x

2y=4x-5

y=4/2x-5/2

y=2x-5/2

Answer:

2.55km

Step-by-step explanation:

[tex]d=st[/tex]

where:

   d=distance

   s=speed

   t=time

[tex]s=\frac{3.4 \ \text{km}}{\text{hr}}\\[/tex]

[tex]t=0.75 \text{hr}[/tex]

[tex]d=st=(\frac{3.4 \text{km}}{\text{hr}})(0.75 \text{hr}})=2.55 \text{km}\\[/tex]

Answer:

[tex]3\frac{2}{5}[/tex] × [tex]\frac{3}{4}[/tex] [tex]= 2\frac{11}{20}[/tex] km

         = 2.55 km

Answer:

55.56%

Step-by-step explanation:

55/99=.5555555...

.55555...*100=55.555...%

55.56%

Answer:

It's be 60 because 30% of 60 is 18. Hope that helped :)

Answer:

8x-24

Step-by-step explanation:

First you do:

8×x which is 8x

Then you do:

8×-3 which is -24

Then you put it into 1 expression:

8x-24

Answer:

8−24

Thank You!

Answer:

[tex]y = -x - 7[/tex].

Step-by-step explanation:

Slope of the given line segment:

[tex]\begin{aligned} m_{1} = \frac{(-5) - (-1)}{(-6) - (-2)} = 1\end{aligned}[/tex].

The slope of any line perpendicular to this line segment would be:

[tex]\begin{aligned}m_{2} &= \frac{-1}{m_{1}} = -1\end{aligned}[/tex].

Midpoint of the given line segment:

[tex]\displaystyle \left(\frac{(-2) + (-6)}{2},\, \frac{(-1) + (-5)}{2}\right)[/tex].

Simplifies to get:

[tex](-4,\, -3)[/tex].

Find the equation of the perpendicular bisector in point-slope form and simplify.

[tex]y - (-3) = (-1)\, (x - (-4))[/tex].

[tex]y + 3 = -x - 4[/tex].

[tex]y = -x - 7[/tex].

[tex]\text{Given that,}\\\\\sin \theta = -\dfrac{12}{13}\\\\\implies \sin^2 \theta = \dfrac{144}{169}\\\\\implies 1- \cos^2 \theta = \dfrac{144}{169}\\\\\implies \cos^2 \theta = 1- \dfrac{144}{169}\\\\\implies \cos^2 \theta = \dfrac{25}{169}\\\\\implies \cos \theta = \pm \sqrt{\dfrac{25}{169}} = \pm \dfrac 5{13}\\\\\\\text{Since,}~ \tan \theta >0,\\\\\cos \theta =- \dfrac{5}{13}[/tex]

Answer:

There are 24 different combinations.

Step-by-step explanation:

2x4x3= 24

Answer:

102.4

Step-by-step explanation:

51.2 x 2 = 102.4

Answer:

The length of side j is 11.85cm

Step-by-step explanation:

Given that

In triangle JKL,

Side k=LJ=3.7cm

To find side j=KL:

By using sine rule,

We can write as

Using property of triangle,

Thus,

The length of side j is 11.85cm

we know that $1290 is to be divided on a 7:8 ratio, so we'll start off by dividing 1290 by (7+8) and give each person accordingly

[tex]1290~~ at~~ 7:8\implies 7\cdot \cfrac{1290}{7+8}~~ :~~8\cdot \cfrac{1290}{7+8} \\\\\\ 7\cdot 86~~:~~8\cdot 86\implies 602~~ :~~688[/tex]

There needs to be values to answer the question.

Answer:

There ya go

Step-by-step explanation:

Answer:

Step-by-step explanation:

its 80 i just did the question

Each case contains 80 butterfly kits.

Unitary method is a mathematical technique for finding the value of a single unit and then deriving the given unit by multiplying with it.

According to the given question Ms. Rivera ordered 6 cases of butterfly kits last year out of which the school used 417 of the butterfly kits and had 63 left over after the festival.

So, the total no. of butterfly kits is (417+63) = 480 kits and it was contained in 6 boxes.

∴ The no. of butterfly kits in each case is 480/6 which is

= 80 butterfly kits.

learn more about unitary method here :

https://brainly.com/question/23423168

#SPJ2

It's a isosceles right angled triangle

[tex]\\ \sf{:}\Rrightarrow JK^2=17^2+10^2[/tex]

[tex]\\ \sf{:}\Rrightarrow JK^2=289+100[/tex]

[tex]\\ \sf{:}\Rrightarrow JK^2=389[/tex]

[tex]\\ \sf{:}\Rrightarrow JK=19.72[/tex]