[tex]9\frac{x}{y} -10-\sqrt{x} 5[/tex]

Answer:

  55

Step-by-step explanation:

We can use the given relations to write an equation that can be solved for my age 25 years from now.

__

Let x represent my age in 25 years. The age relationships can be summarized as ...

We know 10 years ago my dad was 4 times my age, so we have ...

  4(x -35) = 3x -85

  4x -140 = 3x -85 . . . eliminate parentheses

  x = 55 . . . . . . . . . . . add 140-3x

I will be 55 in 25 years from now.

_____

Additional comment

10 years ago, I was 20 and my dad was 80. Now, I'm 30 and my dad is 90. In 25 years, I'll be 55.

Answer:

answer 4 kilometer

Step-by-step explanation:

2 + 1 + 1 = 4

Answer:

3/14

Step-by-step explanation:

12/56 is equivalent to 3/14

Answer:

14

Step-by-step explanation:

We simplify the fraction 12/56 by dividing the top and bottom by 4 to get 3/14. Thus, it is clear that the question mark is 14.

Step-by-step explanation:

m∠A = 70°

m∠B = 30°

m∠C = 80°

Sum of all three angles = 70° + 30° + 80° = 180°

Hope it helps....!

Answer:

( [tex]-\infty[/tex], 0) and (8, [tex]\infty[/tex])  

Step-by-step explanation:

Curve is concave downward when the second derivative is negative.

y' = [tex]\frac{x^{2} }{x^{2} -x+4}[/tex] , by the Fundamental Theorem of Calculus

y'' =   [tex]\frac{-x^2+8x}{\left(x^2-x+4\right)^2}[/tex] , which has a denominator that is always positive. The numerator [tex]-x^2+8x[/tex] is negative when x > 0 and when x < 8. So that is when y'' is negative, and consequently when the curve y is concave down.

Answer:

[tex]y = \frac{3}{4}x -3[/tex] --- Slope intercept

[tex]4y - 3x =- 12[/tex] --- Standard form

Step-by-step explanation:

Given

The attached linear graph

Required

The equation

Select any two points on the line

[tex](x_1,y_1) = (0,-3)[/tex]

[tex](x_2,y_2) = (4,0)[/tex]

Next, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m = \frac{0 --3}{4 - 0}[/tex]

[tex]m = \frac{3}{4}[/tex]

The slope intercept is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = \frac{3}{4}(x - 0) -3[/tex]

[tex]y = \frac{3}{4}(x) -3[/tex]

[tex]y = \frac{3}{4}x -3[/tex]

Multiply through bu 4

[tex]4y = 3x - 12[/tex]

Subtract 3x from both sides

[tex]4y - 3x =- 12[/tex] --- Standard form

Answer:

15000 mg/uL

Step-by-step explanation:

If 1 g/dL = 1000 mg/uL, 15 g/dL = 15,000 mg/uL

Answer:

B) no solution

Step-by-step explanation:

this can be solved by substitution method

y= ⅔x + 4. (equation 1)

and 2x-3y= 3. (equation 2)

substitute for y into equation 2

2x-3(2/3x + 4) = 3

2x - 2x -12=3

0=15

this is a no solution equation

Here

[tex]\\ \sf\Rrightarrow \dfrac{a_1}{a_2}=\dfrac{2/3}{2}=\dfrac{1}{3}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{b_1}{b_2}=\dfrac{1}{3}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{c_1}{c_2}=\dfrac{-4}{3}[/tex]

As

[tex]\\ \sf\Rrightarrow \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}[/tex]

It has no solutions

GE = 26

Step-by-step explanation:

OP = 16 + 9 = 25

PE - OG = 7

Using Pythagorean theorem,

(GE)^2 = (OP)^2 + (PE - OG)^2

=(25)^2 + (7)^2

= 625 + 49

= 674

or

GE = √674 = 25.96 or 26

Answer:

$15.75

Step-by-step explanation:

[tex]\frac{y}{15} :\frac{5}{100}[/tex]

y × 100 = 5 × 15

100y = 75

100y ÷ 100 = 75 ÷ 100

y = 0.75

$15 - $0.75

$14.25

[tex]\frac{y}{15} :\frac{10}{100}[/tex]

y × 100 = 10 × 15

100y = 150

100y ÷ 100 = 150 ÷ 100

y = 1.5

$14.25 + $1.50

$15.75

Solution :

a). [tex]$\text{Set up hypothesis}$[/tex]

    [tex]$\text{Null hypothesis}$[/tex] : There is no significance between them.

                                  [tex]$H_0:\mu_1=\mu_2$[/tex]

    [tex]$\text{Alternate hypothesis}$[/tex] : There is significance between them.

                                 [tex]$H_1:\mu_1!=\mu_2$[/tex]

b). Test statics

    [tex]$X(\text{mean}) = 2.214$[/tex]

    Standard deviation [tex]$(s.d1)=1.718; \text{Number}(n_1)=20$[/tex]

    [tex]$Y(\text{mean})=2.0115$[/tex]

     Standard deviation [tex]$(s.d2)=1.8917; \text{Number}(n_2)=20$[/tex]

     We use the test statics :

  [tex]$t=\frac{X-Y}{\sqrt{\frac{s.d1^2}{n_1}+\frac{s.d2^2}{n_2}}}$[/tex]

 [tex]$t_0=\frac{2.214-2.0115}{\sqrt{\frac{2.95152}{20}+\frac{3.57853}{20}}}$[/tex]

 [tex]$t_0=0.35$[/tex]

[tex]$|t_0|=0.35$[/tex]

c. The critical value of |t| with minimum [tex]$(n_1-1)$[/tex] , i.e. 19 d.f is [tex]$2.093$[/tex]

   We got [tex]$|t_0|$[/tex] = 0.35439 and |t| = 2.093

Answer:

x = 89°

Explanation:

The angles inside a triangle will always add up to 180°

49 + 42 = 91

180 - 91 = 89°

Answer:

Solution given:

[tex] sin x=\frac{7}{25}[/tex]

[tex]Cosx=\frac{24}{25}[/tex]

Tanx=[tex]\frac{sinx}{cosx}=\frac{\frac{7}{25}}{\frac{24}{25}}[/tex]

Tan x=[tex] \frac{7*25}{24*25}[/tex]

tan x=[tex] \frac{7}{24}[/tex]

is a required answer.

The answer is 58.4375

l*w*h is how you calculate any rectangular prism, 5*2 3/4*4 1/4 is the volume of your triangle. Hope this helps!

Answer:

3p

Step-by-step explanation:

Answer:

76 books

Step-by-step explanation:

2/3 × 114 = 76

__________

Formula to convert radian into degrees

radian × (180°/π) = degrees

7π / 2 × 180 / π = 630°

Answer:

78.5 un²

Step-by-step explanation:

A = π · r²

π · 10²

314 un²

314 un² ÷ 4

78.5 un²

Answer:

well Liam is right that is the same statement

Answer:

Step-by-step explanation:

(27m^8n^4)^(1/3)

= 27^(1/3) (m6)^(1/3)(n)^(1/3) (m^2n)^(1/3)

= 3m^2n(m^2n)^(1/3)

So the answer is the last.

9514 1404 393

Answer:

  33

Step-by-step explanation:

The total number of ratio units is 4+7 = 11. If each one stands for an integer number of students, that number is a multiple of 11 between 24 and 40. The only such number is 3×11 = 33.

There are 33 students in the class.

_____

12 are boys, 21 are girls.

Answer:

-2.33333333333333333333333

Step-by-step explanation:0

Answer:

100 or 150 units of the product.

Step-by-step explanation:

R = x(1000-4x)

What is the value of x if R = 60,000?

x(1000-4x) = 60000

-4x^2 + 1000x = 60000

x^2 - 250x = -15000

x^2 - 250x + 15000 = 0

Factorize:

(x-100)(x-150) = 0

x-100 = 0 V x-150 = 0

x = 100 V x = 150

Answer:

2 hours

Step-by-step explanation:

hopefully