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3 years ago

A $96.00 item is marked down by 25%.

Mathematics

2 answers:

tangare [24]3 years ago

6 0

Answer:

72.00$

Step-by-step explanation:

25% = .25

.25 × 96.00 = 24

96 - 24 = 72

Rama09 [41]3 years ago

6 0

The answer is 72 dollars

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If a boat goes downstream 72 miles in 3 hours and upstream 60 miles in 6 hours, the rate of tug he river and the rate of the boa

VashaNatasha [74]

Answer: rate of tug of the river = 7 miles per hour

rate of the boat = 17 miles per hour

Step-by-step explanation:

Let the speed of the boat be x miles per hour

Let the speed of the tug of the river be y miles per hour

Speed = distance / time

If a boat goes downstream 72 miles in 3 hours, the the speed is

72/ 3 = 24 miles per hour

Since the speed is higher than when it went upstream, it means that it moved in the same direction with the wind hence, it moved in still water.

The total speed would be x -y. Therefore

x + y = 24 - - - - - - -1

If a boat goes downstream 60 miles in 6 hours, the the speed is

60/ 6 = 10 miles per hour

Since the speed is lower than when it went downstream, it means that it moved in the opposite direction of the tug of the river.

The total speed would be x -y. Therefore

x - y = 10 - - - - - -2

Adding equation 1 and equation 2

2x = 34

x = 34/2 =17

y = 24 - x = 24 - 17

y = 7

3 0

4 years ago

65% of what number is 39 then write an equation

Volgvan

Answer:

Step-by-step explanation:

65% = .65, so

60 × .65 = 39

or the equation could be

60/.65 = x

Hope this helps, if not please let me know and i will do my best to correct my mistake.

6 0

3 years ago

Simplify:<br> 4 x 32 - 3+5x2 = <br> A. 33<br> B. 43<br> C. 36<br> D. 58<br> E. 34

NeX [460]

I got 155‍♀️ I don’t know cause I did PEMDAS and got 155

3 0

3 years ago

Read 2 more answers

After you find the solution, how would you check to make sure your answer is correct?

krek1111 [17]

Answer:

Plug in your variables value.

Step-by-step explanation:

For your case, plug in -6 into the y slot

12(5+2y)= -(6-9y) +4y

12(5+2x-6)= -(6-9x-6)+4y see if that works!

5 0

3 years ago

Read 2 more answers

Which system or equation is represented in the graph?

melamori03 [73]

Answer:

$(A)\displaystyle \begin{array} {ccc} \displaystyle y = - 2 \\ x - 2y = 6\\ \end{array}$

Step-by-step explanation:

<h3>Equation of the blue line:</h3>

since the line is horizontal and passes <u>-</u><u>2</u> the equation of the blue line should be

$\displaystyle \large y = - 2$

<h3>Equation of the red line:</h3>

remember The form of equation of a line

$\displaystyle \boxed{ \displaystyle y = mx + b}$

where m is slope of the line and b is the y-intercept we can clearly see that the red line crosses y-axis at (0,-3) therefore b=-3

to figure out m we can consider the following formula:

$\displaystyle m = \frac{ \Delta y}{ \Delta x}$

from the graph we acquire ∆y=1 and ∆x=2

thus substitute:

$\displaystyle m = \frac{ 1}{ 2}$

so we have figured out m and b

therefore our equation of blue line is

$\displaystyle y = \frac{1}{2} x - 3$

our given options are in standard form so

move -3 to left hand side and change its sign:

$\displaystyle y + 3= \frac{1}{2} x$

cross multiplication:

$\displaystyle 2y + 6= x$

move 6 to right hand side and x to left hand side and change its sign

$\displaystyle - x + 2y = - 6$

multiply both sides by -1:

$\displaystyle x - 2y = 6$

hence, our system of linear equation is

$\displaystyle \begin{cases} \displaystyle y = - 2 \\ x - 2y = 6\\ \end{cases}$

3 0

3 years ago