what is the value of x

Answer:

x = 2

Step-by-step explanation:

x:6 = 54:162

What is 54 to 162?

162/54 = 3.

So x times 3 should equal 6.

6/3 = 2.

x = 2

Let's confirm,

2:6 = 54:162

:)

Answer:

8 - 10

8 + 10

Step-by-step explanation:

edmentum/plato

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:

-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

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]

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:

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:

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:

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

Answer:

D: {-2, 0, 2}

R: {-1, 1, 3

Answer:

There are 24 different combinations.

Step-by-step explanation:

2x4x3= 24

B = 180-31

B = 149

Answer: 149

Answer:

center = (5 ,-3) and radius = 5

Step-by-step explanation:

Answer: 39

(3*(19))-18 = 39

57-18 = 39 we have the correct answer

Answer:

45°, 75°, 61°, 44°, 22°, 86°

Step-by-step explanation:

They have to be angles less than 90°.

Answer:

  (c)  75°, 61°, 44°

  (d)  22°, 86°, 72

Step-by-step explanation:

The largest angle must be less than 90°, and the sum of angles must be 180°. These conditions are met by the lists of angles shown above.

[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]

πr²/2

22×7×7/7×2

77cm²

πr²/2×2

πr²

22/7×3.5×3.5

38.5cm²

77-38.5=38.5cm²

There needs to be values to answer the question.

Answer:

No positive real solutions.So the answer is zero.

Step-by-step explanation:

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:

102.4

Step-by-step explanation:

51.2 x 2 = 102.4

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

Answer:

$50.00 is the discount price

Answer:

There ya go

Step-by-step explanation:

Answer:

7/10

this should work

Step-by-step explanation:

The simple interest is $3352.

Using PRT/100, we can find the interest.

Therefore, the simple interest is $3352.

Hoped this helped.

[tex]BrainiacUser1357[/tex]