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2 years ago

10

The ratio of math teachers to choir teachers is 3:2 respectively. There are 12 math teachers. How many math and choir teachers a

re there all together?

2 answers:

marysya [2.9K]2 years ago

8 0

Answer:

30

Step-by-step explanation:

$3 + 2 = 5 \\ \frac{2}{5} \times x = 12 \\ \\ \frac{2x}{5} = 12 \\ cross \: mutiply \\ 2x = 60 \\ divde \:both \: sides \: by \: 2 \\ x = 30$

IrinaK [193]2 years ago

8 0

Answer:

30

Step-by-step explanation:

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Find the midpoint of AB for: A(7,0)|and B(0,3)

liberstina [14]

Answer:

$\boxed {\boxed {\sf (\frac {7}{2}, \frac{3}{2}) \ or \ (3,5, 1.5) }}$

Step-by-step explanation:

The midpoint is essentially a point with the average of the 2 x-coordinates and the 2 y-coordinates.

The formula is:

$(\frac {x_1+x_2}{2}, \frac{y_1+y_2}{2})$

We are given two points: A (7,0) and B (0, 3). Remember points are written as (x, y).

Therefore,

$x_1= 7 \\y_1=0 \\x_2=0 \\x_2=3$

Substitute the values into the formula.

$(\frac {7+0}{2}, \frac{0+3}{2})$

Solve the numerators first.

$(\frac {7}{2}, \frac{3}{2})$

The midpoint can be left like this because the fractions are reduced, but it can be written as decimals too.

$(3.5, 1.5)$

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3 years ago

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Vera_Pavlovna [14]

Answer:

50

Step-by-step explanation:

since they are parallel then 2x+6=106

so subtract 6 from each side so it's 2x = 100

then divide each since by 2

so x= 50

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