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2 years ago

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The ages of three teachers are consecutive even integers. Three times the age of the youngest teacher is 48 years more than the

older teacher’s age. What is the age of the youngest teacher?A.14 B.18 C.22 D.26

2 answers:

valina [46]2 years ago

8 0

The answer is B 18.

puteri [66]2 years ago

3 0

Answer:

B

Step-by-step explanation:

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The coordinate grid shows points A through K. What point is a solution to the system of inequalities?

Eddi Din [679]

Answer:

Option D) F

Step-by-step explanation:

we have

$y < -2x+10$ -----> inequality A

The solution of the inequality A is the shaded area below the dashed line $y=-2x+10$

The y-intercept of the dashed line is (0,10)

The x-intercept of the dashed line is (5,0)

$y < \frac{1}{2}x-2$ ----> inequality B

The solution of the inequality B is the shaded area below the dashed line $y=\frac{1}{2}x-2$

The y-intercept of the dashed line is (0,-2)

The x-intercept of the dashed line is (4,0)

The solution of the system of inequalities is the shaded area between the two dashed lines

see that attached figure

Remember that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area of the solution

therefore

The solution are the points

E, F and G

8 0

3 years ago

4,2,1,...<br> Find the 9th term.

harkovskaia [24]

Answer: 0.015625

Step-by-step explanation:

i noticed the pattern. it is getting divided by 2 each time. so, i just divided each new number by 2 and got 0.015625.

8 0

3 years ago

Determine the point of intersection of right bisectors in a triangle ∆ with vertices A (-3, 5), B (1, 1) and (−7, −3). Find the

iris [78.8K]

Answer:

Point of intersection (-11/3 , 1/3)

All distances from the vertices are $\frac{10\sqrt{2} }{3}$

Step-by-step explanation:

The vertices of the triangle is A(-3,5) , B (1,1) and C (-7,-3)

We need to find the perpendicular bisector of the triangle first

let's take one side connecting A and B

mid point of A and B = (-1,3)

Slope of the line joining A and B = -1

slope of perpendicular to line joining A and B = 1

equation of line passing through (-1,3) with slope 1

y - 3 = 1(x-(-1))

y -3 = x+1

x-y = -4 ............(1)

similarly

mid point joining B and C = (-3,-1)

slope perpendicular to line joining B and C = -2

Equation of perpendicular bisector of line joining B and C =

y +1 = -2(x +3 )

y+1 = -2x -6

2x+y = -7 ..........(2)

On solving 1 and 2

x= -11/3 , y= 1/3

Distances

From A = $\frac{10\sqrt{2} }{3}$

From B = $\frac{10\sqrt{2} }{3}$

From C = $\frac{10\sqrt{2} }{3}$

7 0

2 years ago

En una empresa trabajan 60 personas. Usan gafas el 16% de los hombres y el 20% de las mujeres. Si el número total de personas qu

DIA [1.3K]

Pregunta completa:

En una empresa trabajan 60 personas. Usan gafas el 16% de los hombres y el 20% de las mujeres. Si el numero total de personas que usan gafas es 11. ¿Cuantos hombres y mujeres hay en la empresa?

Responder:

Hombres = 25

Mujeres = 35

Explicación paso a paso:

Dado lo siguiente:

Número de personas que trabajan en la empresa = 60

Porcentaje de hombres que usan anteojos = 16%

Porcentaje de mujeres que usan anteojos = 20%

Número total de personas que usan anteojos = 11

Suponga, Número de hombres en la empresa = m

Número de mujeres = número total - número de hombres = 60 - m

Por lo tanto,

16% de los hombres = 0,16 m

20% de mujeres = 0,2 (60 - m) = 12 - 0,2 m

Por lo tanto,

0,16 m + 12 - 0,2 m = 11

- 0,04 m = 11 - 12

-0,04 m = - 1

m = 1 / 0.04 = 25

Por tanto, Número de hombres en la empresa = m = 25

Número de mujeres en la empresa = (60 - m) = (60 - 25) = 35 mujeres

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3 years ago

Never Going To Give You Up never going to let you down never gonna run around baby nor desert you Rick roll..

hichkok12 [17]

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4 0

3 years ago

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