Mr. Smith is 81 years older than his grandson, Victor. In 3 years, Mr. Smith will be four times as old as Victor. How old is Victor now?

A) 21 years old

B) 22 years old

C) 24 years old

D) 27 years old

Answer:

[tex]\mathrm{No\:Solution}[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}Y=3x-2\\ Y-3x=4\end{bmatrix}[/tex]

[tex]\mathrm{Substitute\:}Y=3x-2[/tex]

[tex]\begin{bmatrix}3x-2-3x=4\end{bmatrix}[/tex]

[tex]\mathrm\:{Combine\:like\:terms:[/tex]

[tex]\begin{bmatrix}-2=4\end{bmatrix}[/tex]

[tex]-2=4\:\mathrm{\:is\:false,\:therefore\:the\:system\:of\:equations\:has\:no\:solution}[/tex]

[tex]\mathrm{No\:Solution}[/tex]

Answer:

  c.

Step-by-step explanation:

The graph will be shaded above the boundary line when the inequality is of the form ...

  y > ( )

The boundary line will be solid when the comparison includes the "or equal to" case:

  y ≥ ( )

__

Here, the parabola will open upward if the leading coefficient is positive:

  y ≥ x² + ( )

The shading above the solid line tells you the inequality is ...

  y ≥ ( ) . . . . . matches choice C

_____

Additional comment

The parent function x² is shifted left 2 units, so the graph is of (x +2)². The expanded form of this matches choice C.

Answer:

Exact volume = 30,000 + 5,000pi cubic mm

Approximate volume = 45,700 cubic mm

========================================================

Explanation:

Break the figure into two pieces.

The top part is a half-cylinder with radius r = 20/2 = 10 mm and height h = 100 mm.

The volume of this half-cylinder is

V = 0.5*(full cylinder volume)

V = 0.5*pi*r^2*h

V = 0.5*pi*10^2*100

V = 5000pi

This is exact in terms of pi.

The lower part is a 20 mm by 100 mm by 15 mm rectangular block. It has volume of length*width*height = 20*100*15 = 30,000 cubic mm.

---------

We'll add the two volumes found earlier to get the overall volume.

The total exact volume is 30,000+5,000pi cubic mm.

To get an approximation, you can use something like pi = 3.14

30000+5000pi = 30000+5000*3.14 = 45,700 cubic mm is the approximate volume when using pi = 3.14

Answer:

54 units

Step-by-step explanation:

        We can graph the vertices given to make this easier to solve.

-> See attached.

-> This will help us in finding the lengths of the sides.

-> We can also use mathematics.

8 + 5 = 13 and 8 + 6 = 14

        Next we will find the perimeter.

-> This can be found with either of these formulas:

[] P = 2L + 2W

[] P = W + W + L + L

P = 2L + 2W

P = 2(14) + 2(13)

P = 54

The perimeter of the county is 54 units

Answer:

Conner should get 2 $ back

Step-by-step explanation:

conner should get 2$ back

not an answer but I’m working on the same worksheet and if u wanna work on it together than u should add my discord: kuispe#1715

Utilizando el teorema, veremos que la altura de la torre es 7 metros.

El teorema de Tales nos dice que para triangulos similares, la razon entre los catetos debe ser igual.

Esto significa que la razon entre la altura y el largo de la sombra de un objeto debe ser una constante.

Sabemos que Kevin tiene una estatura de 1.75m y proyecta una sombra de 3.5m

El cociente es:

3.5m/1.75m = 2

Es decir, la sombra tiene una longitud de dos veces la altura.

Entonces si la sombra de la torre es de 14m y la altura es h, tendremos:

14m/h = 2

h = 14m/2 = 7m

La altura de la torre es de 7 metros.

Sí quieres aprender más sobre triangulos rectangulos, puedes leer:

https://brainly.com/question/25839532

Answer:

Step-by-step explanation:

answer: 0.73 because 7 hundreths times 10 = 7 tenths

Answer:

j = k - h/-7

Step-by-step explanation:

you make j all by itself

a) x(x+12) + 27
b) m(2n-3k) - 2p(3k + 2n)

Answer:

x=37

y=125

Step-by-step explanation:

97+28+x+18=180 (sum of the interior angles of a triangle is 180)

143+x=180

x=180-143

x=37

y+x+18=180 (sum of the angles on a straight line is 180°)

y+37+18=180

y+55=180

y=180-55

y=125

or

y=97+28(exterior angle of a triangle= 2 interior opposite angles)

y= 125

Answer:

G. [tex] C = 25(p - 2) + 439 [/tex]

Step-by-step explanation:

Amount paid by customer to fly to California if carrying 2 pieces or less than 2 pieces of luggage for which they won't be charged for = $439

Fee for additional luggage = $25

Fee for additional luggage if an individual carries p luggages = 25(p - 2)

Total amount (C) if p pieces of luggage were carried by a customer travelling = fee for additional p pieces of luggage + $439

The function for this would be:

[tex] C = 25(p - 2) + 439 [/tex]

Answer:

Slope = rise/run

= 1/4

Y-intercept = 0

Equation of the line:

y = 1/4x

Answer:

I got you :)

Step-by-step explanation:

All angles of a triangle add up to 180 degrees so you can make the equation

3x-2+4x+9+3x-9=180  this equation will help you find x

I used the equation to find out that x=18.2 (i can explain this part further if you would like)

so now you know x=18.2 and all you have to do is plug in

m<H = 3 x 18.2 - 2 = 52.6

m<I =  4 x 18.2 + 9 = 81.8

M<J = 3 x 18.2 - 9 = 45.6

Hope this helps!  :)

Also to check work you can do 52.6+81.8+45.6= 180 :) you know its right because it equals 180 degrees at the end  

Answer:

El decimal siempre va a la izquierda.

Step-by-step explanation:

Mueve el decimal el número de veces que el exponente es. Por ejemplo: 5.3x10^-2. En el 5.3 vas a mover el decimal 2 veces a la izquierda.

0.053

Answer: The salesperson must sell 20 memberships to make the same amount of money under both plans.

Step-by-step explanation:

Let x be the number of memberships.

In first plan,

Weekly salary of $300 plus a commission of $15 for each membership sold.

i.e. Earning (weekly) = 300+15x

In second plan,

The other plan offers no salary but pays $30 commission on each membership sold.

i.e. earning = 30x

According to the question, when [tex]300+15x=30x[/tex]

[tex]\Rightarrow\ 300=30x-15x\\\\\Rightarrow\ 300=15x\\\\\Rightarrow\ x=\dfrac{300}{15}\\\\\Rightarrow\ x=20[/tex]

Hence, the salesperson must sell 20 memberships to make the same amount of money under both plans.

Answer:

132

Step-by-step explanation:

180-48= 132

Its this bc a straight line is 180 degrees and if you know 48 then its 132+48 which gets 180

Hey there!

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Answer:

1.9 years

Step-by-step explanation:

There are 365 days in a year

694.44 / 365 = 1.9

Hope this helps!

Answer:  1.9013

Step-by-step explanation:

Answer:

x = 15°

Step-by-step explanation:

Linear pair = 180°

⇒ (6x - 5) + (6x + 5) = 180°

⇒ 12x = 180°

⇒ x = 15°

Since line m is parallel to line n, (6x - 5) and (6x + 5) are a linear pair.

Linear pair means that the sum of two angles equaling 180°.

[tex](6x - 5) + (6x + 5) = 180[/tex]

Step-by step calculations:

Opening the parenthesis:

[tex](6x - 5) + (6x + 5) = 180 \\\\6x - 5 + 6x + 5 = 180[/tex]

Combining like terms:

[tex]6x - 5 + 6x + 5 = 180 \\\\ (6x + 6x) + (-5 + 5) = 180[/tex]

Simplify the LHS:

[tex](6x + 6x) + (-5 + 5) = 180\\\\(12x) = 180[/tex]

Divide 12 both sides and simplify:

[tex]\frac{12x}{12} = \frac{180}{12} \\\\ x = 15[/tex]

Thus, the value of x is 15.

Answer:

the answer is (B) I used an app to solve it

Answer:

The answer would be "B" because you have to cross multiply, which would give you: -3k = 180. Then, you have to divide 180 by -3, which would give you -60.

Answer:

-375.5<1200

True

Step-by-step explanation:

100-475.5 = -375.5

Brainliest please!!

Answer:

∠ D = 110°

Step-by-step explanation:

Assuming the quadrilateral is a parallelogram.

• Consecutive angles sum to 180° , then

∠ B + ∠ C = 180 , that is

5x + 3x + 4 = 180

8x + 4 = 180 ( subtract 4 from both sides )

8x = 176 ( divide both sides by 8 )

x = 22

Then

∠ B = 5x = 5 × 22 = 110°

• Opposite angles are congruent

∠ D = ∠ B = 110°

Answer:

Point I is on line segment HJ; which means HI and IJ are equal.

HJ = 15

IJ = 10

Finding the length of HI, given the above statements:

Length of HI = 10 (reason: HI and IJ are congruent)

Answer:

D. the product of x and a factor not depending on x

Step-by-step explanation:

The equation for the given expression is:

[tex]x (2y+7z)^{2}[/tex]

According to the expression, there are two factors:

the first factor is x, and

the second factor is [tex](2y+7z)^{2}[/tex]

Since, the second factor do not contain x, therefore it is independent of x.

Hence, the expression for the given equation will be the product of x and a factor not depending on x.

Answer:

2

Step-by-step explanation:

Answer:

3 is rational, 5 is rational, 1 is rational, 9 is rational, 4 is rational, 8 is rational.

Step-by-step explanation: