How to solve this question?

Answer:

x = -2/ 9

Step-by-step explanation:

[tex] \frac{2}{5}(x - 2) = 4x \\ \frac{5}{2} \times \frac{2}{5}(x - 2) = 4x \times \frac{5}{2} \\ x - 2 = 10x \\ 9x = - 2 \\ x = \frac{ - 2}{9} [/tex]

[tex]\frac{9^2}{9^7}=9^{2-7}=9^{-5}=\frac{1}{9^5}[/tex]

Answer:

I assume you mean 16^(1/3) i.e. the cube root of 16

I am also assuming you mean the real cube root because, as you may know, every non-zero real number has three cube root - one real and two complex conjugates.

Since 16 = 8 x 2 and 8 = 2³ then (2³ x 2)^1/3 = (2³)^1/3 x 2^1/3 = 2 x 2^1/3

You might check that the cube root of 16 is about 2.52 which is twice the cube root of 2

Step-by-step explanation:

Answer:

245

Step-by-step explanation:

multiple the amount of rooms on each floor (35) by the amount of floors (7)

35x7=245 rooms

Answer:

500

Step-by-step explanation:

Greatest possible number with digits 5,1,3 is 531.

round to hundred =500

Answer:

41

Step-by-step explanation:

9x^2-4x-3 = ? when x=-2

9(-2)^2-4(-2)-3 = ?

9(4)-4(-2)-3 = ?

36+8-3=?

44-3=?

41=?

Step-by-step explanation:

Answer:

x + 6 = 9

Step-by-step explanation:

6 more means +6. Therefore if 6 more than x is 9, the equation would be

[tex]x + 6 = 9[/tex]

Answer:

6+x=9

Step-by-step explanation:

Answer:

These triangles are simliar because they're all scalene.

Step-by-step explanation:

The triangle ABC is an acute (having angles less than 90 degrees), scalene (no equal sides) triangle.

The triangle BCD is also an acute triangle and scalene.

The triangle ABD is an obtuse (having an angle over 90 degrees), scalene triangle.

Step-by-step explanation:

[tex]8x - 3 = 5 + 4y[/tex]

Isolate y first subtract 5 from both sides

[tex]8x - 8 = 4y[/tex]

Divide both sides by 4.

[tex] \frac{8x - 8}{4} = y[/tex]

[tex]2x - 2 = y[/tex]

y= 1

Step-by-step explanation:

Solve for y:

8x - 3 = 5 + 4y

8x = 4y + 5+3

Divide both sides by 8

x = 1÷2y + 1

plug into equation

8 (1÷2y +1) - 3 = 5 + 4y

Distribute

8÷2+ 8 - 3 = 5 + 4y

4 + 5 -5 = 4y

Combine like item

4 = 4y

divide both sides by 4

y= 1

Answer:

10.5 yards after 15 years

Step-by-step explanation:

2.1 feet times 15 years, which equals to 31.5 feet, convert 31.5 feet into yards, so divide it by 0.3, and that equals to approximately 10.5 yards

Answer:

y=4x+2 is answer .......

9514 1404 393

Answer:

  t(n) = -n^2 -n +102

Step-by-step explanation:

We can use the first 3 terms to find a, b, c.

  a(1)^2 +b(1) +c = 100

  a(2)^2 +b(2) +c = 96

  a(3)^2 +b(3) +c = 90

Subtract the first equation from the other two:

  3a +b = -4 . . . . . . [eq4]

  8a +2b = -10 . . . . [eq5]

[eq5] can be reduced to

  4a +b = -5 . . . . . . [eq6]

Subtracting [eq4] from [eq6] gives ...

  (4a +b) -(3a +b) = (-5) -(-4)

  a = -1 . . . . . . . . simplify

Filling that into [eq4], we get

  3(-1) +b = -4

  b = -1 . . . . . . . add 3

Putting the values for 'a' and 'b' into the first equation gives ...

  -1 +-1 +c = 100

  c = 102

Then the n-th term t(n) of the sequence is ...

  t(n) = -n^2 -n +102

_____

Additional comment

As you might guess, there is a generic solution for quadratic sequences. In terms of the first term (a1), first first difference (d1), and second difference (d2), the coefficients can be written as ...

This sequence has first differences of -4, -6, -8, -10, and second differences of -2. Putting the sequence values into the above formulas, we find ...

Answer:

x² - 28x√x + 294x - 1372√x + 2404

Step-by-step explanation:

f(x) = [tex]x^{4}[/tex] + 3

g(x) = x - 7

h(x) = √x

f(g(h(x))) - ?

g(h(x)) = √x - 7

f(g(h(x))) = [tex](\sqrt{x} -7) ^{4}[/tex] + 3 = ( √x - 7 )² × ( √x - 7 )² + 3 =

= (x - 14√x + 49)(x - 14√x + 49) + 3 =

= x² - 14x√x + 49x - 14x√x + 196x - 686√x + 49x - 686√x + 2401 + 3 =

=  x² - 28x√x + 294x - 1372√x + 2404

Answer:

23.089

Step-by-step explanation:

Always divide first then continue with subtraction then addition.

Hey there!

Just do PEMDAS

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

23 + 3.54 / 3 - 1.089

= 23 + 3.54 / 3 - 1.089

3.54 / 3 = 1.18

= 23 + 1.18 - 1.089

23 + 1.18 = 24.18

= 24.18 - 1.089

= 23.091

Answer: 23.091

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Step-by-step explanation:

Fractions are numbers and can be shown on a number line:

Fractions represent equal parts of a whole object or shape:

Whole numbers can be expressed as fractions: For example: 4 = 4⁄1 and 1 = 4⁄4

Answer:

7x-49=21

Step-by-step explanation:

Answer

Hello

how are you

Answer:

$10.24

Step-by-step explanation:

12(1.30)=12.36

22.60-12.36=10.24

Step-by-step explanation:

7[3]

3[7]

I don't hv the square root key

plss mark brainliest

Answer:

Answer:

Ans; 10⁴ —> 10, 000

Ans; 10-⁴ / 10² —> 1/ 10⁶ = 0. 000 001

Ans; 10-⁴ × 10² —> 1/ 10² = 0.01

Ans; 10-⁴ —> 1/ 10⁴ = 0. 000 1

I hope I helped you^_^

Answer:

A=a

B=d

C=c

D=b

Step-by-step explanation:

9514 1404 393

Answer:

  Rs 3200

Step-by-step explanation:

The actual selling price was 20% below the cost price, so was ...

  sp = cp(1 -20%) = 0.80cp

Had the selling price been raised, the selling price would have been 5% above the cost price:

  sp +800 = cp(1 +5%) = 1.05cp

Subtracting the first equation from the second gives ...

  (sp +800) -(sp) = (1.05cp) -(0.80cp)

  800 = 0.25cp . . . . . . . simplify

  3200 = cp . . . . . . . . multiply by 4

The cost price was Rs 3200.

Answer:

y = -6/19x - 2

Step-by-step explanation:

First we need to find the slope and we can do that by using slope-intercept form [ y2-y1/x2-x1 ].

-2-4/10-(-9)

-6/19

Second we can find the y-intercept using slope intercept form [ y = mx + b], the slope, and a given point.

y = -6/19x + b

4 = -6/19(-9) + b

4 = 54/19 + b

-2 = b

Third we will input all the data we solved for back into the formula.

y = -6/19x - 2

Best of Luck!

Answer:

He was 16 years old.

Step-by-step explanation:

[tex] = (2021 - 5) - 2000 \\ = 2016 - 2000 \\ = 16[/tex]

Answer:

16 years old.

Step-by-step explanation:

Today's year is 2021

So,

[tex]2000 + 21 = 2021[/tex]

So, whoever's born in 2000, would be 21 years old in 2021. How old was Kollie five years ago?

[tex]21 - 5 = 16[/tex]

Kollie was 16 years old.