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3 years ago

Evaluate 17-14÷(-2)+(-1)

Mathematics

2 answers:

svet-max [94.6K]3 years ago

3 0

Answer:

the answer to this equation is 23

Arlecino [84]3 years ago

3 0

23 is right.............

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Solve the system: 2/x - 3/y =-5; 4/x + 6\y =14

sertanlavr [38]

The solution is $x = 2 \text{ and } y = \frac{1}{2}$

Solution:

Let us assume,

$a = \frac{1}{x}\\\\b = \frac{1}{y}$

Given system of equations are:

$\frac{2}{x} - \frac{3}{y} = -5$

$\frac{4}{x} + \frac{6}{y} = 14$

Rewrite the equation using "a" and "b"

2a - 3b = -5 ------------ eqn 1

4a + 6b = 14 -------------- eqn 2

Let us solve eqn 1 and eqn 2

Multiply eqn 1 by 2

2(2a - 3b = -5)

4a - 6b = -10 ------------- eqn 3

Add eqn 2 and eqn 3

4a + 6b = 14

4a - 6b = -10

( - ) --------------------

8a = 4

$a = \frac{4}{8}\\\\a = \frac{1}{2}$

Substitute a = 1/2 in eqn 1

$2(\frac{1}{2}) -3b = -5\\\\1 - 3b = -5\\\\3b = 6\\\\b = 2$

Now let us go back to our assumed values

Substitute a = 1/2 in assumed values

$a = \frac{1}{x}\\\\\frac{1}{2} = \frac{1}{x}\\\\x = 2$

Substitute b = 2 in assumed value

$b = \frac{1}{y}\\\\2 = \frac{1}{y}\\\\y = \frac{1}{2}$

Thus the solution is $x = 2 \text{ and } y = \frac{1}{2}$

3 0

3 years ago

Triangle NMO has vertices at N(−5, 2), M(−2, 1), O(−3 , 3). Determine the vertices of image N′M′O′ if the preimage is reflected

Firdavs [7]

Notice that the reflection is over a line of the form x=constant; in this case, the y-coordinate of the reflected point stays the same while the x-coordinate changes as expressed by the transformation below

$\begin{gathered} y\rightarrow y \\ x\rightarrow2a+x \\ where \\ x=a\rightarrow\text{ vertical line} \end{gathered}$

Hence, in our case

$\Rightarrow(x,y)=(2*-4-x,y)=(-8-x,y)$

Transform points N, M, and O accordingly,

$\begin{gathered} \Rightarrow N^{\prime}=(-8-(-5),2)=(-8+5,2)=(-3,2) \\ \Rightarrow M^{\prime}=(-8-(-2),1)=(-6,1) \\ \Rightarrow O^{\prime}=(-8-(-3),3)=(-5,3) \end{gathered}$ <h2>Therefore, the answer is the first option (top to bottom)</h2>

6 0

1 year ago

Mitch used 1 4 pounds of beef to make 3 4 liters of beef strogonoff. If Mitch's recipe is for 1 liter of beef strogonoff, how ma

iren [92.7K]

option B) 3 pounds of beef is needed to make 6 times the recipe.

Step-by-step explanation:

step 1 :

Mitch used 14 pounds of beef = 34 liters of beef strogonoff

'x' pounds of beef = 1 liter of beef strogonoff

step 2 :

Rate = No. of pounds / No. of liters

(14 pounds / 34 liters) = (x pounds / 1 liter)

x = 14/34

x = 0.412

1 liter of beef strogonoff = 0.412 pounds of beef

step 3 :

To make 6 times the recipe = 6 $\times$ 0.412

= 2.5 pounds of beef ( approximately 3 pounds)

5 0

4 years ago

The area of a soccer field is ( 24x^2 + 100x + 100) m^2. The width of the field is (4x + 10)m. What is the length?

Firdavs [7]

The answer should be (12x + 20) (2x + 5)

4 0

4 years ago

What is the value of x? 6x - 2x = 16

agasfer [191]

6x - 2x = 16

4x = 16 |divide both sides by 4

5 0

3 years ago

Read 2 more answers