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3 years ago

Solve for the indicated variable in the literal equation

Mathematics

1 answer:

ANTONII [103]3 years ago

8 0

Answer:

$x = \frac{y}{3} - \frac{5}{3}$

Step-by-step explanation:

Given

$y = 5 + 3x$

Required

Solve for x

Subtract 5 from both sides

$y-5 = 5 -5+ 3x$

$y-5 = 3x$

Divide through by 3

$\frac{y}{3} - \frac{5}{3} = x$

$x = \frac{y}{3} - \frac{5}{3}$

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On January 1, 2020, Maris Enterprises issued 9%, 5-year bonds with a face amount of $800,000 at par. Interest is payable annuall

Anit [1.1K]

Answer:

A. Jan 1

Dr cash $800,000

Cr Bonds payable $800,000

B. Dr Interest expense $72,000

Cr Interest Payable $72,000

Step-by-step explanation:

Preparation of the entries to record the issuance of the bonds and the first annual interest accrual on December 31

A. Preparation of the entries to record the issuance of the bonds

Jan 1

Dr cash $800,000

Cr Bonds payable $800,000

(Being to record issuance of the bonds)

B. Preparation of the Journal entry to record first annual interest accrual on December 31

Dec 31

Dr Interest expense $72,000

Cr Interest Payable $72,000

($800,000*9%)

(Being to record the first year interest expense accrued)

6 0

3 years ago

A 25-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 18 fe

galben [10]

A^2 +b^2 = c^2
a= wall
b = ground (18)
c = ladder (25)
a^2 + 18^2 = 25^2
a^2 + 324 = 625
a^2 = 301
a = 17.349

5 0

4 years ago

Shapes A and B are similar.

kari74 [83]

The scale factor from A to B is 5/3 and the value of r is 33/5

<h3>The scale factor from A to B</h3>

From the figure, we have the following corresponding sides

A : B = 5 : 3

Express as fraction

B/A = 3/5

This means that, the scale factor from A to B is 5/3

<h3>The value of r</h3>

From the figure, we have the following corresponding sides

A : B = 11 : r

Express as fraction

B/A = r/11

Recall that:

B/A = 3/5

So, we have:

3/5 = r/11

Multiply by 11

r = 33/5

Hence, the value of r is 33/5

Read more about similar shapes at:

brainly.com/question/14285697

#SPJ1

3 0

2 years ago

3) x2+ y2 - x + 3y - 42 = 0<br> X+y=4

REY [17]

The solution is $(-1,5)$ and $(7,-3)$

Step-by-step explanation:

The expression is $x^{2} +y^{2} -x+3y-42=0$ and $x+y=4$

Using substitution method we can solve the expression.

Let us substitute $x=4-y$ in $x^{2} +y^{2} -x+3y-42=0$

$(4-y)^{2} +y^{2} -(4-y)+3y-42=0$

Expanding and simplifying the expression, we get,

$\begin{array}{r}{16-8 y+y^{2}+y^{2}-4+y+3 y-42=0} \\{2 y^{2}-4 y-30=0}\end{array}$

Let us use the quadratic equation formula to solve this equation,

$\begin{aligned}y &=\frac{4 \pm \sqrt{16-4(2)(-30)}}{2(2)} \\&=\frac{4 \pm \sqrt{16+240}}{4} \\&=\frac{4 \pm 16}{4} \\y &=1 \pm 4\end{aligned}$

Thus, $y=5$ and $y=-3$

Substituting y-values in the equation $x+y=4$ , we get the value of x.

For $y=5$ ⇒ $x=4-5=-1$

For $y=-3$ ⇒ $x=4+3=7$

Thus, the solution set is $(-1,5)$ and $(7,-3)$

7 0

4 years ago

Find the slope of the line y= 1/8x-1. PLEASE SHOW WORK, I WILL MARK YOU BRAINLYIST IF YOU SHOW YOUR WORK!!!!!!!!

strojnjashka [21]

Answer:

1/8

Step-by-step explanation:

Slope intercept form is written as (y=mx+b)

<u>To define the variables: </u>

The m is the slope

The b is the y-intercept

This line is already written in slope intercept form, and in the place of m, or the slope, is the fraction 1/8... Therefore, the slope of the line is 1/8

4 0

3 years ago

Read 2 more answers

Solve for the indicated variable in the literal equation ​

Solve for the indicated variable in the literal equation