All categories

3 years ago

(4/x - z/y=0) (10/x+z/y=0)

Mathematics

1 answer:

galina1969 [7]3 years ago

4 0

Answer:

Some of the other answers are good examples of solving a system of three equations in three unknowns, which is what this problem is asking. Though the simplest way to solve this problem is actually to notice that, if we sum the three equations, we get:

X + Y = 10

X + Z = 20

+ Y + Z = 24

----------------

2X + 2Y + 2Z = 54

Factoring out the 2, we have 2(X + Y + Z) = 54, and dividing both sides by 2 reveals that X + Y + Z = 27.

Step-by-step explanation:

hopefully this helps

You might be interested in

Please help me with this question

MariettaO [177]

Answer:

It would be A,B

Step-by-step explanation:

3 0

3 years ago

In the following image, AB is parallel to DC, and BC is a transversal intersecting both parallel lines. The measure of angle ABC

AlexFokin [52]

Answer:

n° = 62°

p° = 62°

q° = 118°

v° = 84°

w° = 138°

Step-by-step explanation:

angle ABC is 118°

m° + 118° = 180

m° = 180° - 118°

m° = 62°

n° = m° = 62° (corresponding angles are equal since AB is parallel to DC, and BC)

p° = n° = 62° (vertical angles are equal)

q° + n° = 180° (linear pair angles)

q° + 62° = 180°

q° = 180° - 62°

q° = 118°

v° + 96° = 180° (linear pair angles)

v° = 180° - 96°

v° = 84°

w° + 42° = 180 (linear pair angles)

w° = 180° - 42°

w° = 138°

8 0

3 years ago

a bathtub mat is in the shape of a semicircle. the straight side of the mat is 24 in. What is the perimeter of the mat in terms

matrenka [14]

24 x 3.14= 75.36
75.36÷2=37.68

5 0

3 years ago

1/2 (x−8)+1=2( 1 8 x−1)

nalin [4]

Answer:

The solution for the given algebraic equation is $\frac{ - 2}{71}$

Step-by-step explanation:

Given algebraic equation as :

$\frac{1}{2}$ ( x - 8 ) + 1 = 2 ( 18 x - 1 )

Now solving the equation while opening the brackets

So, $\frac{1}{2}$ × x - $\frac{1}{2}$ × 8 + 1 = 2 × 18 x - 2

Or, $\frac{x}{2}$ - $\frac{8}{2}$ + 1 = 36 x - 2

or, $\frac{x}{2}$ - 4 + 1 = 36 x - 2

or, $\frac{x}{2}$ - 3 = 36 x - 2

or, $\frac{x}{2}$ - 36 x = - 2 + 3

Or, $\frac{x}{2}$ - 36 x = 1

or, $\frac{x - 72 x}{2}$ = 1

or, $\frac{- 71 x}{2}$ = 1

∴ 71 x = - 2

I.e x = $\frac{ - 2}{71}$

Hence The solution for the given algebraic equation is $\frac{ - 2}{71}$ Answer

7 0

3 years ago

A local clothing store sells jeans and shirts. The store makes a $10 profit on the sale of jeans and $3 profit on the sale of th

Zepler [3.9K]

Answer:

An inequality to model the situation is : ( 10 m + 3 n) ≥ 150

Here, m : The number of jeans sold

n : The number of shirts sold.

Step-by-step explanation:

Here, the profit on each sale of jeans = $ 10

The profit on each sale of shirt = $ 3

The profit needed to be made = AT LEAST $150

Now, here: Let us assume the number of jeans sold = m

And, The number of shorts sold =n

So, the profit on m jeans = m x ( Profit on 1 jeans) = m x ( $ 10) = 10 m

So, the profit on n shirts = n x ( Profit on 1 shirt) = n x ( $ 3) = 3 n

⇒ The total profit on m jeans + n shirts = ( 10 m + 3 n)

But, according to the question, the profit should AT LEAST $150.

⇒ TOTAL PROFIT ≥ $ 150

⇒ ( 10 m + 3 n) ≥ 150

Hence, an inequality to model the situation is : ( 10 m + 3 n) ≥ 150

3 0

3 years ago