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Citrus2011 [14]
3 years ago
10

A local sporting goods manager gave each member of a basketball team a coupon for 20% off the regular price of one pair of baske

tball shoes.
Part A:
Tonya selected a pair of shoes for the regular price of $80. How much money will she save by using the 20% off coupon? Justify your answer using equations, models, and/or words to explain your mathematical reasoning.

Part B:
Katie selected a pair of shoes for the regular price of $120. After the 20% off discount is applied, what will be the discounted cost of the shoes (before tax)? Justify your answer using equations, models, and/or words to explain your mathematical reasoning.
Mathematics
1 answer:
nlexa [21]3 years ago
7 0

Part A: To find the amount of the discount multiply the regular price by the amount of the discount:

80 x 20% = 80 x 0.20 = 16

The discount is $16

Part B:

20% off means she would be paying 80% of the original price ( 100% - 20% = 80%)

Multiply the regular price by 80%:

120 x 80% = 120 x 0.80 = 96

She will pay $96

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1. (a). A police car, approaching right-angled intersection from the north, is chasing a speedmg
tamaranim1 [39]

Answer:

<em>The SUV is running at 70 km/h</em>

Step-by-step explanation:

<u>Speed As Rate Of Change </u>

The speed can be understood as the rate of change of the distance in time. When the distance increases with time, the speed is positive and vice-versa. The instantaneous rate of change of the distance allows us to find the speed as a function of time.

This is the situation. A police car is 0.6 Km above the intersection and is approaching it at 60 km/h. Since the distance is decreasing, this speed is negative. On the other side, the SUV is 0.8 km east of intersection running from the police. The distance is increasing, so the speed should be positive. The distance traveled by the police car (y) and the distance traveled by the SUV (x) form a right triangle whose hypotenuse is the distance between them (d). We have:

d=\sqrt{x^2+y^2}

To find the instant speeds, we need to compute the derivative of d respect to the time (t). Since d,x, and y depend on time, we apply the chain rule as follows:

\displaystyle d\ '=\frac{x.x'+y.y'}{\sqrt{x^2+y^2}}

Where x' is the speed of the SUV and y' is the speed of the police car (y'=-60 km/h)

We'll compute  :

d=\sqrt{(0.8)^2+(0.6)^2}=\sqrt{0.64+0.36}

d=1\ km

We know d'=20 km/h, so we can solve for x' and find the speed of the SUV

\displaystyle \frac{x.x'+y.y'}{\sqrt{x^2+y^2}}=20

Thus we have

x.x'+y.y'=20

Solving for x'

\displaystyle x'=\frac{20-y.y'}{x}

Since y'=-60

\displaystyle x'=\frac{20+0.6(60)}{0.8}

x'=70\ km/h

The SUV is running at 70 km/h

7 0
3 years ago
What is the range of f(x)=43*2.4^x
Aliun [14]
This is an exponential function.
Without any transformations (up or down), the range is y > 0
7 0
3 years ago
What is (-11) + (-5)​
yawa3891 [41]
-16 is the answer :)
6 0
3 years ago
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Help me please il give brainliest &amp; a thank you plzz
marshall27 [118]

Answer:

1/20

Step-by-step explanation:

(1/4) / 5

When dividing a fraction by a whole number

multiply the divisor by the number

4 * 5 = 20

(1/4) / 5 = 1/20

5 0
2 years ago
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12.) A rectangular garden bas a perimeter of 50 feet. The width of the garden is 7 feet. What is the area of the garden? 50 feet
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U need to find the length
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