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3 years ago

9/(x - 8) = 4/5 how to solve this proportion

1 answer:

6 0

$\frac{9}{x-8}=\frac{4}{5}$
Cross multiply:
$(9)(5)=(4)(x-8)$
Simplify:
$45=4x-32$
Group like terms:
$77=4x$
Solve for x by division:
$x=\frac{77}{4}$
$x=19.25$

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A television network is about to telecast a new television show. Before a show is launched, the network airs a pilot episode and

GalinKa [24]

Let's first denote:

F - a favorable response

F' - an unfavorable response

S - successful

We know that:

$P(F) = 0.6\\\\P(F')=0.4\\\\P(F\cap S)=0.5\\\\P(F'\cap S)=0.3$

So, from the conditional probability, we can calculate:

$P(S|F) = \dfrac{P(S\cap F)}{P(F)} = \dfrac{0.5}{0.6}=\dfrac{5}{6}\approx\boxed{0.83}$

Answer E.

5 0

3 years ago

SOLVE FOR X!! (will mark brainliest))

netineya [11]

Answer:

x=15

Step-by-step explanation:

Hello there!

The shown angles are vertical angles

if you didn't know vertical angles are congruent

That being said we can create equation

5x + 40 = 115

now we solve for x

step 1 subtract 40 from each side

40 - 40 cancels out

115 - 45 = 75

now we have 75 = 5x

step 2 divide each side by 5

5x/5=x

75/5=15

we're left with x = 15

6 0

3 years ago

Read 2 more answers

Solve the following system of equations. y = 2x + 1 y = x2 – 5x + 7

BlackZzzverrR [31]

The answer is x = 2 and y = 3

5 0

3 years ago

3x - y = 7 6x - y = 10 When solving this system of equations by elimination, which could be the resulting equation when a variab

max2010maxim [7]

It depends on which variable is eliminated.

If you multiply the second equation by -1 and eliminate the y:
3x - y = 7
-6x + y = -10
-3x = -3 or x = 1

If you multiply the first equation by -2 and eliminate the x:
-6x + 2y = -14
6x - y = 10
y = -4

6 0

3 years ago

MULTIPLE CHOICE What is LM? 3x + 5 4x + 7 LN = 33 cm

FromTheMoon [43]

Answer:

C. 14

Step-by-step explanation:

Add LM and MN

(3x + 5) + (4x + 7)

(4x + 3x) + (5 + 7)

7x + 12

As we know the total is 33

So,

7x + 12 = 33

Subtract 12 from 33, which gives me 21

Now,

7x = 21

To make x alone, divide both sides by 7, and then we will get x = 3

If x = 3

LM = 3x + 5

= (3*3) + 5

= 9 + 5

= 14

7 0

3 years ago