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3 years ago

10

Which of the following inequalities is equivalent to 5 > x?

1 answer:

Alexxx [7]3 years ago

3 0

Answer:

x < 5

Step-by-step explanation:

What 5 > x means is that the variable x takes values less than 5, we can notice that because the narrow part of the symbol is pointing towards x, which means x is smaller than 5.

Analyzing the options:

x> 5 this tells us that x takes values greater than 5, which in fact is the opposite of what we are looking for.

5 <x this also tells us that x takes values greater than 5, not what we are looking for.

x < 5 this option does represent the same as 5 > x because in both the narrow part of the symbol points to x, indicating that x is smaller than 5, therefore this is the correct option

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shepuryov [24]

Answer:

The two odd numbers are 15 and 17

Step-by-step explanation:

Given

<em>Let the odd numbers be represented with x and y</em>

<em>Let x be the greater number</em>

<em></em> $x + 5y = 92$ <em></em>

<em></em>

<em>Required</em>

Find x and y

Since x and y are consecutive odd numbers and x is greater, then

$x = y + 2$

Substitute y + 2 for x in $x + 5y = 92$ <em></em>

<em></em> $y + 2 + 5y = 92$ <em></em>

<em></em>

Collect Like Terms

<em></em> $y + 5y = 92 - 2$ <em></em>

<em></em> $6y = 90$ <em></em>

Divide both sides by 6

$\frac{6y}{6} = \frac{90}{6}$

$y = \frac{90}{6}$

$y = 15$

Substitute 15 for y in $x = y + 2$

$x = 15 + 2$

$x = 17$

<em>Hence; the two odd numbers are 15 and 17</em>

4 0

3 years ago

Somebody please help! And show your work!

VARVARA [1.3K]

a= 34 degrees

b= 28 degrees

c= 62 degrees

Step-by-step explanation:

First you know that b is 1/2 of 56 degrees or 28.

The triangle with the a in it is isoceles because the two sides are both radii.

In the triangle the top angle = 112 because it is a centeral angle to the 112 arc.

Angle a and opposite to a are equal and then have to be 34 degrees to equal 180.

We know two arc lengths are 112 and 56 and the one with angle a has to be 34x2 or 68.

a whole circle equals 360.

360-56-68-112 = 124

Angle c = 1/2 of 124, or 62 degrees

6 0

3 years ago

Qual a raiz da equação X²+5X-14=0 ?

ElenaW [278]

Answer:

e) Hence 2, -7 are roots of the equation X² + 5X - 14 = 0

Step-by-step explanation:

given equation : X² + 5X - 14 = 0

⇒ X² + 7X - 2X - 14 = 0

⇒ X·(X + 7) - 2·(X + 7) = 0

⇒ (X + 7)·(X - 2) = 0

⇒ X = -7, X = 2

<u>Hence 2, -7 are roots of the equation X² + 5X - 14 = 0</u>

8 0

2 years ago

What is the radius of the garden?

shutvik [7]

Step-by-step explanation:

Area of circle= Πr²

Πr² = 132² m

r²=132²/Π m

=5546.23m

r =√5546.23

=74.473 m

5 0

2 years ago

Write each number in standard form<br><br> 9.03 x 10²<br><br> 7.89 x 10³<br><br> 4.115 x 10⁵

mars1129 [50]

9.03 x 100
7.89x1000
4.115x100000

3 0

3 years ago