All categories

3 years ago

Solve the equation for the indicated variable.1. y= 3/8 (x+4) for x

Mathematics

2 answers:

Bess [88]3 years ago

8 0

Answer:

$\large\boxed{x=\dfrac{8}{3}y-4}$

Step-by-step explanation:

$\dfrac{3}{8}(x+4)=y\qquad\text{multiply both sides by 8}\\\\8\!\!\!\!\diagup^1\cdot\dfrac{3}{8\!\!\!\!\diagup_1}(x+4)=8y\\\\3(x+4)=8y\qquad\text{divide both sides by 3}\\\\\dfrac{3(x+4)}{3}=\dfrac{8y}{3}\\\\x+4=\dfrac{8}{3}y\qquad\text{subtract 4 from both sides}\\\\x=\dfrac{8}{3}y-4$

madam [21]3 years ago

6 0

Answer:

x=8y/3-4

Step-by-step explanation:

What we have to do to solve for X into re arrange the equation so that X is by itself on one side of the equation. To start we will divide both sides by 3/8 to move it away from the X side and we get

8y/3=x+4 then we will subtract both sides by 4 to get x all by itself

8y/3-4=x

I hope this helps and please don't hesitate to ask if there is anything still unclear!

You might be interested in

When adding or subtracting with scientific notation,why is it important to have the same power of 10?

sladkih [1.3K]

<h2>Explanation:</h2><h2></h2>

Because we perform something like common factor, so this guarantee that corresponding digits have regarding coefficients have the same place value. Remember that a number written in scientific notation is given by the product of a number between 1 and 10 and another number that is power of 10. For example, let's write two examples about this:

Addition:

$a=2\times 10^3 \\ \\ b=4\times 10^3 \\ \\ \\ Then: \\ \\ a+b=2\times 10^3+4\times 10^3 \\ \\ =(2+4)\times 10^3 \\ \\ =5\times 10^3$

Addition:

$a=2\times 10^3 \\ \\ b=4\times 10^3 \\ \\ \\ Then: \\ \\ a+b=2\times 10^3+4\times 10^3 \\ \\ =(2+4)\times 10^3 \\ \\ =6\times 10^3$

Subtraction:

$a=7\times 10^5 \\ \\ b=2\times 10^5 \\ \\ \\ Then: \\ \\ a-b=7\times 10^5-2\times 10^5 \\ \\ =(7-2)\times 10^5 \\ \\ =5\times 10^5$

4 0

3 years ago

7. What is the slope of the line that passes through (12, 10) and (11, 15)?

amid [387]

Answer:

-5

Step-by-step explanation:

5 0

3 years ago

A group of students are planning a mural at a wall the rectangular wall has dimensions of (6x+7) by (8x+5) and they are planning

zvonat [6]

Answer: $46x^2+73x+15$

Step-by-step explanation:

The area of a rectangle can be calculated with the formula:

$A=lw$

l: the length of the rectangle.

w: the width of the rectangle.

The area of the remaning wall after the mural has been painted, will be the difference of the area of the wall and the area of the mural.

Knowing that the dimensions of the wall are $(6x+7)$ by $(8x+5)$ , its area is:

$A_w=(6x+7)(8x+5)\\\\A_w=48x^2+30x+56x+35\\\\A_w=48x^2+86x+35$

As they are planning that the dimensions of the mural be $(x+4)$ by $(2x+5)$ , its area is:

$A_m=(x+4)(2x+5)\\\\A_m=2x^2+5x+8x+20\\\\A_m=2x^2+13x+20$

Then the area of the remaining wall after the mural has been painted is:

$A_{(remaining)}=A_w-A_m\\\\A_{(remaining)}=48x^2+86x+35-(2x^2+13x+20)\\\\A_{(remaining)}=48x^2+86x+35-2x^2-13x-20\\\\A_{(remaining)}=46x^2+73x+15$

8 0

3 years ago

Sue's Sushi placed two orders with its fish supplier. One order was for 11 pounds of salmon and 6 pounds of tuna; the order tota

yawa3891 [41]

Divide the cost of everything by the amount of tuna and salmon. I don’t know the specific answer but that’s the main thing to do in this scenario would be to divide

8 0

3 years ago

If there are 651 6th grade students at school, and three out of every seven of them play a sport, how many 6th graders do not pl

shusha [124]

Answer

7893=84

Step-by-step explanation:2=12d

5 0

2 years ago

Solve the equation for the indicated variable.1. y= 3/8 (x+4) for x​

Solve the equation for the indicated variable.1. y= 3/8 (x+4) for x