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3 years ago

Solve for 2/x+1 = 3/x-5

Mathematics

2 answers:

Marysya12 [62]3 years ago

6 0

Answer:

x=16

Step-by-step explanation:

I hope this helped

Nastasia [14]3 years ago

4 0

Answer:

x= 1/6

Step-by-step explanation:

1) Add the same term to both sides of the equation

2/x+1=3/x-5

2/x+1-1=3/x-5-1

2) Simplify-Add the numbers

2/x=3/x-6

3) Multiply all terms by the same value to eliminate fraction denominators

4) Simplify

5) Add the same term to both sides of the equation

6) Simplify

7) Divide both sides of the equation by the same term

8) Simplify

1/6=x

I hope this helps!

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An ice cream store sells 28 flavors of ice cream. Determine the number of 4 dip sundaes.

weeeeeb [17]

Answer:

$20,475\ ways$

Step-by-step explanation:

we know that

<u><em>Combinations</em></u> are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

To calculate combinations, we will use the formula

$C(n,r)=\frac{n!}{r!(n-r)!}$

where

n represents the total number of items

r represents the number of items being chosen at a time.

In this problem

$n=28\\r=4$

substitute

$C(28,4)=\frac{28!}{4!(28-4)!}\\\\C(28,4)=\frac{28!}{4!(24)!}$

simplify

$C(28,4)=\frac{(28)(27)(26)(25)(24!)}{4!(24)!}$

$C(28,4)=\frac{(28)(27)(26)(25)}{(4)(3)(2)(1)}$

$C(28,4)=20,475\ ways$

6 0

3 years ago

PLEASE HELP URGENT

Blababa [14]

Answer:

see attached

Step-by-step explanation:

The two different triangles can be formed by placing the 90° angle adjacent to, or opposite the given side.

In the attached diagram, the two triangles are ABC and ABD. The right angles are at vertex C and vertex B, respectively.

5 0

1 year ago

How many radians does the minute hand of a clock rotate through over half an hour? How many degrees?

Ivanshal [37]

Answer:

So minute hand will rotate $\pi radian$ in half an hour

Step-by-step explanation:

In one hour minute hand of clock rotate about 360°

So in half an hour minute hand clock rotate $\frac{360}{2}=180^{\circ}$

We have to find how many minute hand rotate in radian

For conversion of degree to radian we have to multiply with $\frac{\pi }{180}$

So $180^{\circ}=180\times \frac{\pi}{180 }=\pi radian$

So minute hand will rotate $\pi radian$ in half an hour

3 0

3 years ago

Let ƒ(x) = x + 1 and g(x) = 5x. Evaluate the composition (ƒ ∘ g)(–1).

Lubov Fominskaja [6]

The value of the composite function is option (D) (f ∘ g)( - 1) = - 4.

The functions are given as:

f(x) = x + 1 and g(x) = 5x.

We need to find the composite function:

(f ∘ g)( - 1).

= f (g ( - 1)

Substitute value of g(x):

= f ( 5 ( - 1))

= f ( - 5)

Substitute value of f(x):

= ( - 5 ) + 1

= - 5 + 1

= - 4

Therefore, the value of the composite function is option (D) (f ∘ g)( - 1) = - 4.

Learn more about function here:

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3 0

1 year ago

Kind of confused on this question, please help

Wittaler [7]

Answer:

4th option

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = $\frac{3}{5}$ x - 6 ← is in slope- intercept form

with slope m = $\frac{3}{5}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{\frac{3}{5} }$ = - $\frac{5}{3}$

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - $\frac{5}{3}$ and (a, b ) = (- 2, 5 ) , then

y - 5 = - $\frac{5}{3}$ (x - (- 2) ) , that is

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

8 0

2 years ago