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3 years ago

a number is divided by 3 and the result is added to 1. the new result is doubled to give the final result 80. whats the number

Mathematics

1 answer:

Gnesinka [82]3 years ago

6 0

78, because you have to do the inverse operation so 80/2= 40 then 40-1= 39 and 39*3 = 78

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A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-

seropon [69]

Answer:

The equation of the line in point-slope form is $y-21 = - \frac{3}{2}\cdot (x-14)$ .

Step-by-step explanation:

According to the statement, let $A(x,y) = (14,21)$ and $B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A})$ . The equation of the line in point-slope form is defined by the following formula:

$y-y_{A} = m\cdot (x-x_{A})$ (1)

Where:

$x_{A}$ , $y_{A}$ - Coordinates of the point A, dimensionless.

$m$ - Slope, dimensionless.

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

$m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}$ (2)

If we know that $x_{A} = 14$ and $y_{A} = 21$ , then the equation of the line in point-slope form is:

$x_{B} = 1.25\cdot (14)$

$x_{B} = 17.5$

$y_{B} = 0.75\cdot (21)$

$y_{B} = 15.75$

From (2):

$m = \frac{15.75-21}{17.5-14}$

$m = -\frac{3}{2}$

By (1):

$y-21 = - \frac{3}{2}\cdot (x-14)$

The equation of the line in point-slope form is $y-21 = - \frac{3}{2}\cdot (x-14)$ .

5 0

3 years ago

Please help due ASAP <br> Show workings

Minchanka [31]

Answer:

WZ = 30

Step-by-step explanation:

set up equation based on WZ = W'Z'

3/4[6x + 10] = 13x - 35

multiply each side of equation by 4 to eliminate fractions:

18x + 30 = 52x - 140

-34x = -170

x = 5

substitute 5 for 'x' in either expression:

13(5) - 35

65 - 35 = 30

6 0

3 years ago

Read 2 more answers

Last time, one out of every 4 students in our class was absent. This time, after Jen came back, only one out of every 5 students

VMariaS [17]

Answer: There are 20 students and 4 students are not here today.

Step-by-step explanation:

If the number of students = 4

Let the number of students be 'x'.

Fraction of students absent = $\dfrac{x}{4}$

If the number of students = 5

Fraction of students absent = $\dfrac{x}{5}$

And Jen came back,

So, the fraction of student absent is also written as

$\dfrac{x}{4}-1$

According to question, it becomes,

$\dfrac{x}{5}=\dfrac{x}{4}-1\\\\\dfrac{x}{5}=\dfrac{x-4}{4}\\\\4x=5(x-4)\\\\4x=5x-20\\\\4x-5x=-20\\\\-x=-20\\\\x=20$

Hence, there are 20 students in our school.

And number of students are not here today is $\dfrac{20}{5}=4$

3 0

3 years ago

Factor the expression 2x4y – 18x2y3 completely.

Annette [7]

Answer:

B. 2x2y(x – 3y)(x + 3y)

Step-by-step explanation:

$2 {x}^{4} y - 18 {x}^{2} {y}^{3} \\ = 2 {x}^{2} y( {x}^{2} - 9 {y}^{2} ) \\ = 2 {x}^{2} y \{ {x}^{2} - {(3y)}^{2} \} \\ \purple {\boxed{ \bold{ = 2 {x}^{2} y(x - 3y)(x + 3y)}}}$

5 0

3 years ago

Read 2 more answers

1) -7v + 4(2 - 5v) = -154

Bad White [126]

Answer:

v=6

Step-by-step explanation:

First let's simplify the equation so it will be easier to PEMDAS the equation later.

-7v+4(2-5v)=-154

-7v+8-20v=-154

-27v+8=-154

Now you must isolate the v variable. You do this by subtracting 8 first and then divide by -27.

-27v+8=-154

-27v=-162

v = 6

5 0

3 years ago