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In-s [12.5K]
3 years ago
6

A discount of 16% saved Jackie $38 on office supplies. What was the price of the supplies before the discount?

Mathematics
2 answers:
madam [21]3 years ago
8 0
You got 2 types of data $ and %!
Line them up accordingly and cross multiply.

16% is to $38 as
100% is to $x

X= 38•100/16= $237.5 the price before discount
Effectus [21]3 years ago
3 0

Answer:  The price of the supplies before the discount is $237.5.

Step-by-step explanation:  Given that a discount of 16% saved Jackie $38 on office supplies.

We are to find the price of the supplies before the discount.

Let $x be the price of the supplies before the discount.

Then, according to the given information, we have

16\%\times x=38\\\\\\\Rightarrow \dfrac{16}{100}\times x=38\\\\\Rightarrow 16x=3800\\\\\Rightarrow x=\dfrac{3800}{16}\\\\\Rightarrow x=237.5.

Thus, the price of the supplies before the discount is $237.5.

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A ball is thrown upward from the top of a 192-foot-high building. The ball is 240 feet above ground level after 1 second, and it
iris [78.8K]

Answer:

The equation of this function is h = -16\cdot t^{2}+64\cdot t+192.

Step-by-step explanation:

From Mechanical Physics we must remember that height reached by the ball as a function of time is a quadratic function if and only if ball is uniformly accelerated by gravity and viscous forces and Earth's rotation effects can be neglected. After assuming those considerations as true, the standard form of the quadratic function is:

h = a\cdot t^{2}+b\cdot t + c (Eq. 1)

Where:

t - Time, measured in seconds.

h - Height of the ball, measured in feet.

a - Second order coefficient, measured in feet per square second.

b - First order coefficient, measured in feet per second.

c - Zero order coefficient, measured in feet.

From Algebra, we can obtain a quadratic function by know three distinct points and solving the resulting system of linear equations:

A(t, h)= (0\,s,192\,ft)

c = 192\,ft (Eq. 2)

B(t,h) = (1\,s,240\,ft)

a+b+c = 240\,ft (Eq. 3)

C(t,h) =(6\,s,0\,ft)

36\cdot a + 6\cdot b + c = 0 (Eq. 4)

By Algebraic methods, we get this unique solution:

a = -16\,\frac{ft}{s^{2}}, b = 64\,\frac{ft}{s}, c = 192\,ft

The equation of this function is h = -16\cdot t^{2}+64\cdot t+192.

4 0
3 years ago
12. Subway A can reach a top speed of 48 kilometers per hour. Subway B can reach a
fenix001 [56]
Subway A is faster.

Hope this is correct
6 0
3 years ago
Find m Of the function
Masteriza [31]

Answer:

m=1

Step-by-step explanation:

slope formula is y=mx-b

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2 years ago
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Step-by-step explanation:

8 0
3 years ago
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Answer:

14 weeks till he has $480

Step-by-step explanation:

He needs $480

He has $60

He has to earn the rest over the span of the next few weeks, which is $30 for an unknown number of weeks.

Let the unknown number be x in our equation

What he needs to buy the TV and Stereo system is $480 which is our total

The $60 dollars he received is a complete variable

hence we can say,<em> 30x+60=480</em>

<u>This is our equation</u> but it isn't simplified.

first, divide everything by 10(it is a common divisor)

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so the unknown number of weeks is 14.

8 0
3 years ago
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