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vlabodo [156]
3 years ago
8

7x + 3y = m

Mathematics
2 answers:
babunello [35]3 years ago
6 0
QUESTION 1

The given equation is

7x + 3y = m

We want to solve for y in the given equation.

First, we add
-7x
to both sides to obtain,

- 7x + 7 x+ 3y = m - 7x

This simplifies to,

3y = m - 7x

We divide both sides by 3 to get,

y = \frac{m - 7x}{3}

QUESTION 2

The given equation is,

4(r + 3) = t

We want to make
r
the subject.

We first of all divide both sides by 4 to get,

\frac{4(r + 3)}{4} = \frac{t}{4}

We now cancel out the common factor on the left hand side to get,

r + 3 = \frac{t}{4}

Let us add -3 to both sides of the equation to obtain,

r + 3 + - 3 = \frac{t}{4} + - 3

r = \frac{t}{4} - 3


QUESTION 3

The given equation is

2x + b = w

We want to solve for x, so we subtract b from both sides to obtain,

2x + b - b = w - b

This simplifies to,

2x = w - b

We divide both sides by 2 to obtain,

\frac{2x}{2} = \frac{w - b}{2}

We cancel out common factors to get,

x = \frac{w - b}{2}

QUESTION 4

The given equation is

x(1 + y) = 2

We want to solve for x, so we divide both sides by

(1 + y)
to obtain,

\frac{x(1 + y)}{1 + y} = \frac{2}{1 + y}

We cancel out the common factors to obtain,

x = \frac{2}{1 + y}
attashe74 [19]3 years ago
4 0

7x + 3y = m

3y = m - 7x

y = (m - 7x) / 3


4( r + 3 ) = t

r + 3 = t / 4

r = ( t - 3 )/ 4


2x + b = w

2x = w- b

x = ( w - b ) / 2


x (1 + y) = 2

x = 2 / 1 +y

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3 years ago
ZX bisects ∠WZY. If the measure of ∠YXZ is (6m – 12)°, what is the value of m?
krok68 [10]

Answer:

The correct answer is option B.  17

Step-by-step explanation:

It is given that, ZX bisects ∠WZY. If the measure of ∠YXZ is (6m – 12)°

<u>To find the value of m</u>

From the figure we can see that, triangle WYZ is an isosceles  triangle.

ZW = ZY

Then <YXZ = <WXZ = 90°

It is given ∠YXZ  = (6m – 12)°

(6m – 12)° =  90°

6m = 90 + 12  = 102

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Therefore the value of m = 17

The correct answer is option B.  17

8 0
3 years ago
Read 2 more answers
4x + 5y = 10
Vika [28.1K]

Answer:

For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.

Step-by-step explanation:

Given equations are:

4x + 5y = 10

Ax + By = 16

The general form of linear equation in two variables is given by:

ax+by = c

Here a, b and c are constants and x,y are variables.

In the given equations, after comparing with the general form

a_1 = 4\\b_1 = 5 \\c_1 = 10\\a_2 = A\\b_2 =B\\c_2 = 16

"In order for a system of equations to have infinity many solutions,

\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2} "

Putting the values we get

\frac{4}{A} = \frac{5}{B} = \frac{10}{16}\\\frac{4}{A} = \frac{5}{B} = \frac{5}{8}\\Now\\\frac{4}{A} = \frac{5}{8}\\\frac{A}{4} = \frac{8}{5}\\A = \frac{8}{5} * 4\\A = \frac{32}{5}\\And\\\frac{5}{B} = \frac{5}{8}\\\frac{B}{5} = \frac{8}{5}\\B = 8

Hence,

For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.

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2 years ago
A single six-sided die is rolled. Find the probability of rolling a seven
suter [353]

Answer:

0

Step-by-step explanation:

according to the mathematical encyclopedia written by Albert Einstien, if a single six sided die is rolled, the probability of rolling a seven is 0 because the dice has six sides. 1,2,3,4,5,6. NO SEVEN!!!

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