Find the ratio of a side length in triangle ABC to a side length in DEF then simplify the ratio

2x-y=6<br><br> Rewrite in Slope-intercept form

Nutka1998 [239]

Answer:

y = 2x - 6

Step-by-step explanation:

subtract 2x from each side to get:

-y = -2x + 6

divide each side by -1 to get:

y = 2x - 6

5 0

2 years ago

if someone deposited 2000 at 6% simple intrest . how long will it be before she has 2600 in her account

den301095 [7]

30. Given problem : You deposited 2 000 dollars, then you will earn 6% simple interest. Question: How long will it become 2 600 dollars. Well, you didn’t mention if it’s an annual interest or monthly interest. But let’s say that it’s a monthly interest, then let’s start solving: => 2000 Is the original amount + 6% interest first month = 2000 * .06 = 120 => 2000 + 120 = 2120 2nd month = 2120 *.06 = 127.2 => 2120 + 127.2 = 2247.2 3rd month = 2247.2 *.06 = 134.832 => 2247.2 + 134.832 = 2382.032 4th month = 2382.032 * .06 = 142.92192 => 2382.032 + 142.92192 = 2524.95392 5th month = 2524.95392 * .06 = 151.497 => 2524.95392 + 151.497 = 2676.45 Thus, on the fifth month she will earn this amount.

8 0

3 years ago

The symphonic choir and the jazz choir are recording songs for an album. The album can be no more than 72 minutes long. The jazz

zimovet [89]

Answer:

The symphonic choir can record a maximum of 14 songs.

Step-by-step explanation:

We know that the album cannot be more than 72 minutes long, and the jazz choir records a total of $7 (3min) = 21$ song minutes.

If we call $c$ the number of songs the symphonic choir records , and each song is 3.5 minute long, then the song minutes for the symphonic choir are $3.5c$ ; therefore, we have the inequality

$3.5c+21\leq 72$ <em> (this says the song minutes for jazz choir plus song minutes for symphonic choice cannot exceed 72 minutes )</em>

We solve this inequality by subtracting 21 from both sides and then dividing by 3.5:

$3.5c\leq 51$

$c\leq \frac{51}{3.5}$

$c\leq 14.47$

The maximum integer value $c$ can take is 14; therefore, the maximum number of songs the symphonic choir can record is 14 songs.

3 0

2 years ago

The number of loaves of bread purchased and the total cost of the bread in dollars can be modeled by the equation c = 3. 5b. Whi

Dmitrij [34]

The dependent variable is the variable that depends on the value of other variable and keeps on changes with change in the value of one variable. The values given in the table 3 matches the equation and includes the viable solutions.

<h3>Given information-</h3>

The number of loaves of bread purchased and the total cost of the bread in dollars can be modeled by the equation,

$c=3.5b$

The quantity of the bread depends on the quantity of the loaves.

<h3>Dependent variable</h3>

The dependent variable is the variable that depends on the value of other variable and keeps on changes with change in the value of one variable.

Lets check which table satisfy the above equation.

Table 1-

In the table the first values of the bread and the loves is -2 and -7. The quantity of a bread and loves can not be negative. Thus the table 1 does not provides the viable solution.

Table 2-

In the table 2 the value of the third row is 1.5 loaves and 5.25 breads. Check this by the given equation. When the value of loaves is 1.5 then the value of the bread is,

$c=3.5\times1.5$