All categories

3 years ago

What is x? 7(x – 5) = 9x – 3

Mathematics

2 answers:

Karo-lina-s [1.5K]3 years ago

6 0

Answer:

x = -16

Step-by-step explanation:

We are presented with the equation 7( x - 5 ) = 9x - 3 and we are asked to find the value of x. The first thing to do with equations with brackets is expand them out to make solving the equation easier. Then you want to collect all the 'x' terms to one side and all the numerical values to the other so we can make solving the equation easier.

→ 7( x - 5 ) = 9x - 3

⇒ Expand out the brackets

→ 7x - 35 = 9x - 3

⇒ Minus 9x from both sides to collect the 'x' terms

→ -2x - 35 = -3

⇒ Add -35 to both sides to isolate -2x

→ -2x = 32

⇒ Divide both sides by -2 to isolate x

→ x = -16

Mkey [24]3 years ago

4 0

Answer:

x = -16

Step-by-step explanation:

$7(x-5) =9x-3 \\7x -35 = 9x - 3\\3- 35 = 9x - 7x\\-32 = 2x\\x = \frac{-32}{2}\\\huge \red{\boxed{x = -16}}$

You might be interested in

20,000 dollars at 10% compound annually for 20 years (20 payments of 1.1)

Firdavs [7]

That’s the same question I’m going to ask.

6 0

3 years ago

A mountaineer descends a mountain for 5 hours. On average, she climbs down 500 feet each hour. What is her change in elevation a

jenyasd209 [6]

Answer:

2500 feet

Step-by-step explanation:

500*5=2500

3 0

3 years ago

following frequency distribution shows the daily expenditure on milk of 30 households in a locality:Daily expenditure on milk(in

valina [46]

Note: As you missed to identify what we have to find in this question. But, after a little research, I am able to find that we had to find the Mode for the data given in your question. So, I am assuming we have to calculate the the Mode. Hopefully, it would clear your concept regarding this topic.

Answer:

The mode of the data = 75

Step-by-step explanation:

Lets visualize the given data in a table to show the frequency distribution:

Daily expenditure on milk (in Rs) Number of households

0-30 5

30-60 6

60-90 9

90-120 6

120-150 4

Here the maximum frequency is 9.

So, modal class is 60-90.

As the formula to calculate the mode:

$Mode = l_{1} + h (\frac{f_{1}-f_{0}}{2f_{1}-f_{0}-f_{2}} )$

Here, the maximum

$l_{1} =60, f_{1} =9, f_{0}=6, f_{0}=6, h=30$

$l=$ is the lower limit of the class

$f_{1} =$ is the frequency of the modal class

$f_{0} =$ is the frequency of the previous modal class

$f_{2} =$ is the frequency of the next previous modal class

$l=$ is the class size

So,

$Mode = l_{1} + h (\frac{f_{1}-f_{0}}{2f_{1}-f_{0}-f_{2}} )$

$Mode = 60 + 30 (\frac{9-6}{2(9)-6-6} )$

$Mode = 60 + \frac{(30)(3)}{6}$

$Mode = 60 + 15=75$

∴ The mode of the data = 75

Keywords: mode, frequency distribution

Learn more about mode and frequency distribution from brainly.com/question/14354368

#learnwithBrainly

5 0

3 years ago

4(x-3)=2(3x+1) 2 solve for x

Katarina [22]

Hi there!

Th' Eqn. is :-

4 (x - 3) = 2 (3x + 1)

=> 4x - 12 = 2 (3x + 1)

=> 4x - 12 = 6x + 2

Combine th' like terms :-

=> 4x - 6x = 2 + 12

=> - 2x = 14

=> x = $\dfrac {- 14}{2}$

=> x = - 7

Hence, The required answer is : x = - 7

~ Hope it helps!

3 0

4 years ago

Help pls 9 through 11

In-s [12.5K]

Step-by-step explanation:

the coordinate for P is (-3,6)

5 0

3 years ago