Which is the greatest common factor of 84 and 60?

6(3X-5) -7X=25 Solve X

Assoli18 [71]

Answer:

x = 5

Step-by-step explanation:

18x-30-7x = 25

11x = 55

x = 55/11

x=5

7 0

3 years ago

Read 2 more answers

given two functions f and g, one way to obtain the real solution of equation f(x) = g(x) it to graph the equation y=f(x) and y=g

natulia [17]

Graph the function of (f - g)(x) and find the x-intercepts.

8 0

3 years ago

Please help me solve this!!

Mice21 [21]

Answer:

Abelito had the greater average speed

Step-by-step explanation:

Given

Bobby:

$Distance =4\ miles$

$Time = 30\ minutes$

Abelito

$Distance = 10\ miles$

$Time = 48\ minutes$

Required:

Who had a greater average speed

Average speed (S) is calculated as:

$S = \frac{Distance}{Time}$

We will make use of mph (miles per hour) as the unit of speed.

For Bobby:

$S_B = \frac{4\ miles}{30\ minutes}$

Convert minute to hour

$S_B = \frac{4\ miles}{0.5\ hr}$

$S_B = 8mph$

For Abelito

$S_A = \frac{10\ miles}{48\ minutes}$

Convert minute to hour

$S_A = \frac{10\ miles}{0.8\ hr}$

$S_A = 12.5mph$

By comparison: 12.5mph > 8mph

Hence: Abelito had the greater average speed

5 0

3 years ago

Help please! Solve for x. –9<4x+3≤27

geniusboy [140]

Answer:

(-3;6]

Step-by-step explanation:

-9<4x+3≤27 |-3 (because we have to remove everything what's next to the x)

-9-3<4x+3-3≤27-3

-12<4x≤24 |:4

-12:4<4x:4≤24:4

-3<x≤6

x = (-3;6]

7 0

3 years ago

Robin is flying a kite. She ties the 50 foot kite string to the ground. If the kite is

krok68 [10]

$\bold{\huge{\orange{\underline{ Solution }}}}$

<h3>Given :-</h3>

We have given in the question that, Robin is flying a kite.
She ties the 50 foot kite string to the ground .
The kite is flying at 40 feet high

We have to find the measure of the angle the string forms with the group that is angle of elevation.

<h3>Let's Begin :-</h3>

According to the given question,

Hypotenuse AC ( Distance of string from the ground) = 50 ft.
Perpendicular height AB ( Distance of the kite from the ground) = 40 ft.

<h3>Therefore, </h3>

By using trigonometric ratios,

{ $\bold{\pink{ Sin Φ = }}{\bold{\pink{\dfrac{Perpendicular}{Hypotenuse }}}}$

$\bold{\red{ Cos Φ = }}{\bold{\red{\dfrac{Base}{Hypotenuse }}}}$

$\bold{\purple{ Sin Φ = }}{\bold{\purple{\dfrac{Perpendicular}{Base }}}}$ }

The Angle of elevation will be 

[ The angle that is formed between the line of sight and base of the triangle is called angle of elevation ]

$\bold{\pink{Sin Φ = }}{\bold{\pink{\dfrac{AB}{AC }}}}$

$\sf{ Sin Φ = }{\sf{\dfrac{40}{50 }}}$

$\sf{ Sin Φ = }{\sf{\dfrac{4}{5}}}$

$\sf{ Sin Φ = 0.8 }$

$\bold{\green{ Φ = 45.83° }}$

Hence, The measure of the angle the string forms with the ground is 45.83° .

7 0

2 years ago