Write an equation for 15 is 15% of what number?, №17886062, 16.09.2022 07:28

Mathematics

Write an equation for 15 is 15% of what number? Use x for your variable

Step-by-step answer

P Answered by PhD

1

Reading through the problem, we have "15 is",

that's "15 =", 15%, 15/100, "of", times, "what number", x.

So our equation reads 15 = 15/100 · x.

Mathematics

An individual rides a bike at a rate of 15 miles per hour for h hours. Write an equation that expresses the situation, let x be the independent variable and y be the dependent variable. y=x/15 x=15y y=15x

Step-by-step answer

P Answered by PhD

y = 15x

Step-by-step explanation:

Given

$Rate = 15\ miles/hour$

x = time

y = distance

Required

Express in terms of y and x

The given rate is a ratio of distance to time.

So:

Ratio = Distance/Time

Substitute values for Distance and Time

Ratio = y/x

Substitute 15 for Ratio

15 = y/x

Cross Multiply

y = 15x

Hence: the situation is represented by y = 15x

Mathematics

An individual rides a bike at a rate of 15 miles per hour for h hours. Write an equation that expresses the situation, let x be the independent variable and y be the dependent variable. y=x/15 x=15y y=15x

Step-by-step answer

P Answered by PhD

y = 15x

Step-by-step explanation:

Given

$Rate = 15\ miles/hour$

x = time

y = distance

Required

Express in terms of y and x

The given rate is a ratio of distance to time.

So:

Ratio = Distance/Time

Substitute values for Distance and Time

Ratio = y/x

Substitute 15 for Ratio

15 = y/x

Cross Multiply

y = 15x

Hence: the situation is represented by y = 15x

Mathematics

13. joe expects to spend at least $8500 on a used car, but he can’t afford to spend more than $12,000. which inequality could be used to describe the amount of money, x, that joe may spend on a car? a12000 - 8500 x b8500 x 12000 cx = 8500 or x = 12000 dx 8500 and x 12000 e 8500 x 12,000 f not enough information 14. teenagers should sleep between 8 and 10 hours per night. sarah typically sleeps 2 hours less than this per night. which inequality describes the amount of time that sarah sleeps? a10 x 12 b8 x 10 c6 x 12 d6 x 8 e 8 + 2 8 10 f 8 x 10

Step-by-step answer

P Answered by PhD

3

Answers:

13. E 8500 < x < 12,000

14. D 6∠x∠8

15. E 1600 < x < 2200

16. A1.02s > t > 0 s

17. 6.25 years

18. A5000 > (1500)(10)x

19. E 20.3 < 35 - 9.8t < 30.1

20. D$4167

Step-by-step explanation:

13.E 8500 < x < 12,000 ( the amount of money spent lies between 8500 and $12,000)

14. D 6∠x∠8 (subtracting 2 from both 8 and 10 will give 6 and 8 hours respectively

15. E 1600 < x < 2200 subtracting 600 calories for women

16. A1.02s > t > 0 s puttin the value of t=12,20

17. 6.25 years using the formula I=P*R*T/100

18. A5000 > (1500)(10)x

19.E 20.3 < 35 - 9.8t < 30.1

20 D$4167

Mathematics

Step-by-step answer

P Answered by PhD

1

The general equation for profit is written below:

Profit = Revenue - Total Cost
Revenue is the total sales you get while total cost includes the capital and other variable costs.

Letting x be the number of t-shirts, the revenue would be 15x, while the total cost is (20 + 9x). So, the profit equation becomes:

150 ≤ 15x - (20 +9x)

The ≤ symbol means that the right side of the equation must be equal or greater than 150 so that you can reach your goal profit.
Solving for x,

150 + 20 ≤ 15x - 9x
x ≥ 28.33
Hence, the answer is A.

Mathematics

13. joe expects to spend at least $8500 on a used car, but he can’t afford to spend more than $12,000. which inequality could be used to describe the amount of money, x, that joe may spend on a car? a12000 - 8500 x b8500 x 12000 cx = 8500 or x = 12000 dx 8500 and x 12000 e 8500 x 12,000 f not enough information 14. teenagers should sleep between 8 and 10 hours per night. sarah typically sleeps 2 hours less than this per night. which inequality describes the amount of time that sarah sleeps? a10 x 12 b8 x 10 c6 x 12 d6 x 8 e 8 + 2 8 10 f 8 x 10

Step-by-step answer

P Answered by PhD

3

Answers:

13. E 8500 < x < 12,000

14. D 6∠x∠8

15. E 1600 < x < 2200

16. A1.02s > t > 0 s

17. 6.25 years

18. A5000 > (1500)(10)x

19. E 20.3 < 35 - 9.8t < 30.1

20. D$4167

Step-by-step explanation:

13.E 8500 < x < 12,000 ( the amount of money spent lies between 8500 and $12,000)

14. D 6∠x∠8 (subtracting 2 from both 8 and 10 will give 6 and 8 hours respectively

15. E 1600 < x < 2200 subtracting 600 calories for women

16. A1.02s > t > 0 s puttin the value of t=12,20

17. 6.25 years using the formula I=P*R*T/100

18. A5000 > (1500)(10)x

19.E 20.3 < 35 - 9.8t < 30.1

20 D$4167

Mathematics

Step-by-step answer

P Answered by PhD

1

The general equation for profit is written below:

Profit = Revenue - Total Cost
Revenue is the total sales you get while total cost includes the capital and other variable costs.

Letting x be the number of t-shirts, the revenue would be 15x, while the total cost is (20 + 9x). So, the profit equation becomes:

150 ≤ 15x - (20 +9x)

The ≤ symbol means that the right side of the equation must be equal or greater than 150 so that you can reach your goal profit.
Solving for x,

150 + 20 ≤ 15x - 9x
x ≥ 28.33
Hence, the answer is A.

Mathematics

Solve the following system of equations. write each of your answers as a fraction reduced to lowest terms. in other words, write the numbers in the exact form that the row operation tool gives them to you when you use the tool in fraction mode. no decimal answers are permitted. 15x + 15y + 10z = 106 5x + 15y + 25z = 135 15x + 10y - 5z = 42 x = y = z =

Step-by-step answer

P Answered by PhD

$x\ =\ \dfrac{209}{30}$

$y\ =\ \dfrac{29}{18}$

$z\ =\ \dfrac{64}{15}$

Step-by-step explanation:

Given equations are

15x + 15y + 10z = 106

5x + 15y + 25z = 135

15x + 10y - 5z = 42

The augmented matrix by using above equations can be written as

$\left[\begin{array}{ccc}15&15&10\ \ |106\\5&15&25\ \ |135\\15&10&-5|42\end{array}\right]$

$R_1\ \rightarrow\ \dfrac{R_1}{15}$

$=\ \left[\begin{array}{ccc}1&1&\dfrac{10}{15}|\dfrac{106}{15}\\5&15&25|135\\15&15&-5|42\end{array}\right]$

$R_1\rightarrowR_2-5R1\ and\ R_3\rightarrow\ R_3-15R_1$

$=\ \left[\begin{array}{ccc}1&1&\dfrac{10}{15}|\dfrac{106}{15}\\\\0&10&\dfrac{65}{3}|\dfrac{299}{3}\\\\0&0&-15|-64\end{array}\right]$

$R_2\rightarrow\ \dfrac{R_2}{10}$

$=\ \left[\begin{array}{ccc}1&1&\dfrac{10}{15}|\dfrac{106}{15}\\\\0&1&\dfrac{65}{30}|\dfrac{299}{30}\\\\0&0&-15|-64\end{array}\right]$

$R_3\rightarrow\ \dfrac{R_3}{-15}$

$=\ \left[\begin{array}{ccc}1&1&\dfrac{10}{15}|\dfrac{106}{15}\\\\0&1&\dfrac{65}{30}|\dfrac{299}{30}\\\\0&0&1|\dfrac{64}{15}\end{array}\right]$

$R_1\rightarrow\ R_1-R_2$

$=\ \left[\begin{array}{ccc}1&0&\dfrac{-3}{2}|\dfrac{17}{30}\\\\0&1&\dfrac{65}{30}|\dfrac{299}{30}\\\\0&0&1|\dfrac{64}{15}\end{array}\right]$

$R_1\rightarrow\ R_1+\dfrac{3}{2}R_3$

$=\ \left[\begin{array}{ccc}1&0&0|\dfrac{209}{30}\\\\0&1&\dfrac{65}{30}|\dfrac{299}{30}\\\\0&0&1|\dfrac{64}{15}\end{array}\right]$

$R_2\rightarrow\ R_2-\dfrac{65}{30}R_3$

$=\ \left[\begin{array}{ccc}1&0&\0|\dfrac{209}{30}\\\\0&1&0|\dfrac{29}{18}\\\\0&0&1|\dfrac{64}{15}\end{array}\right]$

Hence, we can write from augmented matrix,

$x\ =\ \dfrac{209}{30}$

$y\ =\ \dfrac{29}{18}$

$z\ =\ \dfrac{64}{15}$

Mathematics

Suppose that y varies inversely as x, and x=9 when y=15. Find the value for k and write the function. Group of answer choices LaTeX: k= frac{15}{9} k = 15 9 k = 15 9 and LaTeX: y= frac{9}{15}x y = 9 15 x y = 9 15 x LaTeX: k= frac{15}{9} k = 15 9 k = 15 9 and LaTeX: y= frac{15}{9x} y = 15 9 x y = 15 9 x LaTeX: k=135 k = 135 k = 135 and LaTeX: y= frac{135}{x} y = 135 x y = 135 x LaTeX: k=135 k = 135 k = 135 and LaTeX: y=135x

Step-by-step answer

P Answered by PhD

3

see explanation

Step-by-step explanation:

Given that y varies inversely as x then the equation relating them is

y = $\frac{k}{x}$ ← k is the constant of variation

To find k use the condition that x = 9 when y = 15

15 = $\frac{k}{9}$ ( multiply both sides by 9 )

k = 135

y = $\frac{135}{x}$ ← equation of variation

Mathematics

Solve the following system of equations. write each of your answers as a fraction reduced to lowest terms. in other words, write the numbers in the exact form that the row operation tool gives them to you when you use the tool in fraction mode. no decimal answers are permitted. 15x + 15y + 10z = 106 5x + 15y + 25z = 135 15x + 10y - 5z = 42 x = y = z =

Step-by-step answer

P Answered by PhD

$x\ =\ \dfrac{209}{30}$

$y\ =\ \dfrac{29}{18}$

$z\ =\ \dfrac{64}{15}$

Step-by-step explanation:

Given equations are

15x + 15y + 10z = 106

5x + 15y + 25z = 135

15x + 10y - 5z = 42

The augmented matrix by using above equations can be written as

$\left[\begin{array}{ccc}15&15&10\ \ |106\\5&15&25\ \ |135\\15&10&-5|42\end{array}\right]$

$R_1\ \rightarrow\ \dfrac{R_1}{15}$

$=\ \left[\begin{array}{ccc}1&1&\dfrac{10}{15}|\dfrac{106}{15}\\5&15&25|135\\15&15&-5|42\end{array}\right]$

$R_1\rightarrowR_2-5R1\ and\ R_3\rightarrow\ R_3-15R_1$

$=\ \left[\begin{array}{ccc}1&1&\dfrac{10}{15}|\dfrac{106}{15}\\\\0&10&\dfrac{65}{3}|\dfrac{299}{3}\\\\0&0&-15|-64\end{array}\right]$

$R_2\rightarrow\ \dfrac{R_2}{10}$

$=\ \left[\begin{array}{ccc}1&1&\dfrac{10}{15}|\dfrac{106}{15}\\\\0&1&\dfrac{65}{30}|\dfrac{299}{30}\\\\0&0&-15|-64\end{array}\right]$

$R_3\rightarrow\ \dfrac{R_3}{-15}$

$=\ \left[\begin{array}{ccc}1&1&\dfrac{10}{15}|\dfrac{106}{15}\\\\0&1&\dfrac{65}{30}|\dfrac{299}{30}\\\\0&0&1|\dfrac{64}{15}\end{array}\right]$

$R_1\rightarrow\ R_1-R_2$

$=\ \left[\begin{array}{ccc}1&0&\dfrac{-3}{2}|\dfrac{17}{30}\\\\0&1&\dfrac{65}{30}|\dfrac{299}{30}\\\\0&0&1|\dfrac{64}{15}\end{array}\right]$

$R_1\rightarrow\ R_1+\dfrac{3}{2}R_3$

$=\ \left[\begin{array}{ccc}1&0&0|\dfrac{209}{30}\\\\0&1&\dfrac{65}{30}|\dfrac{299}{30}\\\\0&0&1|\dfrac{64}{15}\end{array}\right]$

$R_2\rightarrow\ R_2-\dfrac{65}{30}R_3$

$=\ \left[\begin{array}{ccc}1&0&\0|\dfrac{209}{30}\\\\0&1&0|\dfrac{29}{18}\\\\0&0&1|\dfrac{64}{15}\end{array}\right]$

Hence, we can write from augmented matrix,

$x\ =\ \dfrac{209}{30}$

$y\ =\ \dfrac{29}{18}$

$z\ =\ \dfrac{64}{15}$

Write an equation for 15 is 15% of what number? Use x for your variable

Step-by-step answer

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