Find the common difference for the given sequence 1.05, 1.1, 1.15, 1.2,... A)0.005 B)0.05 C)0.5

The team’s ratio of games won to games played was 3 to 8. If the team played 88 games, how many games did the team win? a. 11 ga

Gwar [14]

The correct answer would be B because 88 divided by 11 would be 8 and therfore it would justift that the ration would be equal to 88:33

6 0

3 years ago

Read 2 more answers

a bag contains 10 white gold balls and 6 striped golf balls. a golfer wants to add 112 golf balls to the bag. he wants the ratio

wolverine [178]

Answer:70 white golf balls and 42 striped golf balls

Step-by-step explanation:

First we find the ratio of white to striped balls

White golf balls = 10

Striped golf balls = 6

Ratio = 10/6 = 5/3

We are told a golfer wants to add extra 112 balls to the already 16 balls

And the ratio after adding 112 balls must stay the same

First we label the extra golf balls to be added x and y

x = white golf balls

y = striped golf balls

So since we know the 112 balls added is a combination of the extra white golf balls and striped golf balls, we create an equation for that, labelling it (1)

x + y = 112 (1)

And we are told that after putting these extra balls the ratio must remain the same, which is 5/3

which will be (10 white balls + x) divided by (6 striped ball + y) will be equals to 5/3

So we create another equation for this, labelling it (2)

(10+x)/(6+y) = 5/3 (2)

So we have two simultaneous equations

We pick (1)

x + y = 112

We either make x or y the subject of formula, I choose to make x the subject of formula, we label the equation (3)

take y to the other side, causing it to change to -y

x = 112 - y (3)

We then work with (2)

(10+x)/(6+y) = 5/3

We cross multiply

3(10+x) = 5(6+y)

We open the brackets

Making the equation simplified and labelling it (4)

30 +3x = 30 + 5y

Collect like terms

3x -5y = 30-30

3x -5y = 0 (4)

Remember from (3) we know that

x = 112 -y

So we put (3) in (4)

3(112 - y) - 5y = 0

Open bracket

336 -3y -5y =0

336 -8y = 0

Transfer -8y to the other side, changing to +8y

336 = 8y

Divide both sides by 8

336/8 = y

42 = y

y = 42

from (3) we know that x equals 112 - y

So we put y = 42 in (3)

x = 112 - y

x = 112 -42 = 70

x = 70

So therefore number of white golfs balls and striped golfs balls to be added to keep the same ratio is 70 and 42 respectively

4 0

3 years ago

What is 2+2*56*89/5+69

Natalija [7]

Answer:

2064.6 is the answer

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

5) The Ministry of Human Resources wanted to know whether the mean salary of

kati45 [8]

Y
=
−
2
x
+
5
y
=
-
2
x
+
5
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
−
2
-
2
y-intercept:
(
0
,
5
)
(
0
,
5
)
Any line can be graphed using two points. Select two
x
x
values, and plug them into the equation to find the corresponding
y
y
values.
Tap for more steps...
x
y
0
5
5
2
0

3 0

2 years ago

usa el teorema de la altura para proponer como se podria construir un segmento cuya longitud sea media proporcional entre dos se

Mrac [35]

Usando el teorema de altura

El teorema de altura relaciona la altura (h) de un triángulo rectángulo (ver figura) y los catetos de dos triángulos que son semejantes al anterior ABC, al trazar la altura (h) sobre la hipotenusa. De manera que en todo triángulo rectángulo, la altura (h) relativa a la hipotenusa es la media geométrica de las dos proyecciones de los catetos sobre la hipotenusa (n y m). Es decir, se cumple que:

 $\frac{n}{h}= \frac{h}{m}$

Dado que el problema establece construir un segmento cuya longitud sea media proporcional entre dos segmentos de 4 y 9 cm, entonces, digamos que n = 4cm y m = 9cm tenmos que:

 $\frac{4}{h}= \frac{h}{9}$

De donde:

$h= \sqrt{(4)(9)}=\sqrt{36}=6cm$

¿Cómo se podria construir si los segmentos son de a cm y b cm?

Si los segmentos son de a y b cm entonces a y b son parámetros que pueden tomar cualquier valor positivo siempre que se cumpla que:

$h= \sqrt{ab}$

6 0

3 years ago