Anna is 4.5 years older than Kyle. Three times Anna's age, added to six times
Kyle's age is 36. How old are Anna and Kyle

Answer:

x=10

Step-by-step explanation:

according to the question

(x+2)(x-2)=96

=>x^2-4=96

=>x^2=96+4

=>x^2=100

=>x=√100

Therefore

x=10

x=-10

As width and length can't be negative

So x=10

Width=10-2=8

Length=10+2=12

12×8=96 (proven)

Answer:

Please check the explanation.

Step-by-step explanation:

As we know that the area of a rectangle is defined by multiplying the length by the width.

Given

substituting all the given values in the formula to find the value of x.

[tex]A=l\times w[/tex]

[tex]96=\left(x+2\right)\times \left(x-2\right)[/tex]

[tex]96=x^2-4[/tex]

[tex]x^2-4=96[/tex]

subtract 96 from both sides

[tex]x^2-4-96=96-96[/tex]

[tex]x^2-100=0[/tex]

[tex]x^2=100[/tex]

[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=\sqrt{100},\:x=-\sqrt{100}[/tex]

[tex]x=10,\:x=-10[/tex]

Putting x = -10 in the length and width will make the length and width negative, which can not be possible.

i.e.

length = l = x+2 = -10+2 = -8 units

width = w = x-2 = -10-2 = -12 units

Therefore, x=-10 must be excluded.

Now, putting the length of x = 10.

i.e.

length = l = 10+2 = 10+2 = 12 units

width = w = x-2 = 10-2 = 8

[tex]A=l\times w[/tex]

96 = 12 × 8

96 = 96

Therefore, the correct value of x = 10

Answer:

8 days

Step-by-step explanation:

it takes her two days to make 8 liters so for every 8 liters you add on two more days. 8:2, 16:4, 24:6, 32:8

Answer:

Step-by-step explanation:

We know she gets 4 more quarters so: q+4

She gives away 3 dime so: d-3

And the nickels stay the same: n

In total the expression would be:  q+4+d-3+n

Hope this helps :D

Answer:

Its A

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

0 time difernce because a negative numbers means it will have an world record , while a positive time diference means it did not beat the world record

Answer:

x=33.4

Step-by-step explanation:

Answer:

x = 51 :)

Step-by-step explanation:

2x + 32 = 3x - 19

combine like terms

51 = x

Answer:

x-intercepts (3,0)

y-intercept (0,-12)

x= 3

y= -12

Step-by-step explanation:

Answer:

A. The value of x should be 75, because the angles shown in the diagrams are congruent.

Step-by-step explanation:

I did the test

Answer: I’m not sure how to explain so you look at what I did and if it is an equation then I did solve it but if I should did the two separately then tell me so I can do it , have a great and funny day :)

Step-by-step explanation:

Answer:1/3 i dont know if this is right i just kindly copied the guy on top

Step-by-step explanation:

Answer:

yea Bella would have the amount she wants

Answer:

6

Step-by-step explanation:

7 x 6 = 42 + 9 = 51 + 54 = 105 + 75= 180

Answer:

6

Step-by-step explanation:

Tge sum of interior angles in a triangle is equal to 180°

7x + 9 + 54° + 75° = 180° add like terms

7x + 138° = 180° subtract 138 from both sides

7x = 42 divide by 7

x = 6

Answer:

Step-by-step explanation:

1). Swap the order of equations.

2). Yes, system of equations are equivalent with the same solution.

29x = 46 ⇒ x = [tex]\frac{46}{29}[/tex]

y = - [tex]\frac{184}{29}[/tex] + [tex]\frac{203}{29}[/tex] = [tex]\frac{19}{29}[/tex]

( - [tex]\frac{46}{29}[/tex] , [tex]\frac{19}{29}[/tex] )

Answer: 5x+17

Step-by-step explanation:

2x+14+3x+3= 5x+17

First, multiply 2 by x and 7, which will give you 2x+14 then add the plus sign right after the 14. then multiply 3 by x and by 1 to get 3x+1.

Answer:

1.5 white 2 blue

Step-by-step explanation:

Answer:

J can be rotated

Step-by-step explanation:

Answer: Figure J

Clockwise and 2 units down

Answer:

-5/2

Step-by-step explanation:

Answer:

the slope is 2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

Answer:

Every choice doubles the number of subsets previously built, so the 4 subsets of {1,2} become 8 when we think of subsets of {1,2,3}. Then 16, and finally 32 subsets for {1,..5}.

Step-by-step explanation:

hopefully this helps!

Answer:

[tex]2.077[/tex] × [tex]10^{-4}[/tex]

Step-by-step explanation:

To convert to scientific notation, you need the number to be less than 10, but greater than 1 and is multiplied by a base of 10 to the power of the number of times you moved the decimal. So you need to shift the decimal place 4 times to the right to get to 2.077 (which is less than 10, but greater than 1). The next part is that you’ll need a base number, which is 10 because your moving the decimal by 10s. Since the decimal is being moved to the right, the exponent will be negative. You moved it 4 times so it’s [tex]10^{-4}[/tex]. The finished answer is:

[tex]2.077[/tex] × [tex]10^{-4}[/tex]

Hope this helps and answers your question! :)

Answer:

5 units down

Step-by-step explanation:

Answer:

102

Step-by-step explanation:

Answer:

a. infinite solutions, answer is x = 30, identity equation

b. no solution, a contradiction equation

c. no solution, a contradiction equation

Step-by-step explanation:

Answer:

Step-by-step explanation:

Tnd 50 dia w2 wop p.35.00 dma fw

Answer: the answer is wha the other dude said

Step-by-step explanation:

Answer:

x= -6

Step-by-step explanation:

Answer:

Inequality: 54+ 64x ≥ $450.80

x= number of weeks

7 weeks

The circle is closed

Answer:

25

Step-by-step explanation:

[tex]x^2\\\\x=5\\\\5^2=5*5=25[/tex]

Hope this helps.