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3 years ago

What is the solution to the equation 5/8(4x-16)=20

Mathematics

2 answers:

zhannawk [14.2K]3 years ago

4 0

Answer:

X=12

Step-by-step explanation:

erastova [34]3 years ago

3 0

X=12 i looked it up online. it’s correct. have a great day.

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What is the equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (–5, 1)? Check all that ap

Bond [772]

So the right options are:

$y=-\frac{2}{5}x-1$

$2x+5y = -5$

$y-1=-\frac{2}{5}(x+5)$

Further explanation:

Given equation of line is:

2x+5y=10

We have to convert it into point-slope form

$2x+5y=10\\5y=-2x+10\\Dividing\ both\ sides\ by\ 5\\y=-\frac{2}{5}x+\frac{10}{5}\\y=-\frac{2}{5}x+2$

The co-efficient of x is the slope of the line

So,

$m= -\frac{2}{5}$

As the required line is parallel to given line, it will also have same slope.

Let m1 be the slope of required line

Then the line will be:

$y=m_1x+b$

Putting the value of slope

$y=\frac{2}{5}x+b$

Putting (-5,1) in the equation to find the value of b

$1=-\frac{2}{5}(-5)+b\\1=2+b\\b=1-2\\b=-1$

Putting the values of slope and b in equation

$y=-\frac{2}{5}x-1$

Multiplying the whole equation by 5 will give us:

5y = -2x-5

2x+5y = -5

Another form of equation of line is Point-slope form

$y-y_1=m(x-x_1)$

Putting the values of slope and point in the equation, we get

$y-1=-\frac{2}{5}(x+5)$

So the right options are:

$y=-\frac{2}{5}x-1$

$2x+5y = -5$

$y-1=-\frac{2}{5}(x+5)$

Keywords: Point-Slope form, Parallel lines

Learn more about point slope form at:

#LearnwithBrainly

4 0

3 years ago

Read 2 more answers

Lucia measured the high school and made a scale drawing. The scale she used was 2 centimeters : 3 meters. The parking lot is 54

Klio2033 [76]

Answer: The parking lot in the drawing is 36 centimeters.

Step-by-step explanation:

Given: Actual width of parking lot = 54 meters

The scale she used was 2 centimeters : 3 meters.

i.e. 3 actual meters = 2 centimeters on drawing

⇒ 1 actual meter = $\dfrac23$ centimeters on drawing

⇒ 54 actual meters = $54\times\dfrac23$ centimeters on drawing

⇒ 54 actual meters = 36 centimeters

Hence, the parking lot in the drawing is 36 centimeters.

3 0

3 years ago

Can y’all please help me on this question I would really appreciate it have a good night or day! :)

Dmitriy789 [7]

15:31

or you can also write it as...

15 to 31

15/31

Hope this helps!

May I have Brainliest please?

Also are you taking casp??? haha

7 0

3 years ago

Read 2 more answers

HELP PLEASE!!!! ASAP?

Furkat [3]

Answer:

Step-by-step explanation:

Let the box be y

75% of y = 27

75/100 × y = 27

75y/100 = 27

75y = 27 × 100

75y = 2700

y = 2700/75

y = 36

6 0

3 years ago

Boxes of cereal usually cast $4,but are on sale for $1 off. A gallon of milk costs $3 . The expression 4b-1b+3 can be used to fi

vovikov84 [41]

Answer:

c = 3(b + 1)

Step-by-step explanation:

c = 4b - 1b + 3

4b - 1b = 3b

c = 3b + 3

3 is a common factor of both terms on the right hand side

Factorizing the expression

c = 3(b + 1)

7 0

3 years ago

What is the solution to the equation 5/8(4x-16)=20​

What is the solution to the equation 5/8(4x-16)=20