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Olin [163]
2 years ago
14

Draw a diagram to calculate each of the following quotients. 4 2\3÷ 2\3. B. 10÷2 1\2.

Mathematics
1 answer:
vladimir2022 [97]2 years ago
4 0
You have to divide the fractions by the numbers
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Tonya and Leo each bought a cell phone at the same time. The trade-in values, in dollars, of the cell phones are modeled by the
Paha777 [63]

Answer:

The answer is Tonya's phone had the greater initial trade-in value.

Leo's phone decreases at an average rate slower than the trade in value of Tonya's phone.

Step-by-step explanation:

Given

Tonya

f(x) = 490 * 0.88^x

Leo

x \to g(x)

0 \to 480

2 \to 360

4 \to 470

Solving (a): The phone with greater initial value

The initial value is when x = 0. So, we have:

f(x) = 490 * 0.88^x

f(0) = 490 * 0.88^0

f(0) = 490 * 1

f(0) = 490

From Leo's table

g(0) = 480

By comparison;

f(0) > g(0)

i.e.

490 > 480

<em>So: Tonya's had the greater initial trade-in value</em>

Solving (b): The phone with lesser rate

An exponential function is:

y = ab^x

Where:

b \to rate

For Tonya

b = 0.88

For Leo, we have:

(x_1,y_1) = (0,480)

(x_2,y_2) = (2,360)

So, the equation becomes:

y = ab^x

480 = ab^0 and 360 = ab^2

Solving 480 = ab^0, we have:

480 = a * 1

480 = a

a= 480

360 = ab^2 becomes

360 = 480 * b^2

Divide both sides by 480

0.75 = b^2

Take square roots

0.87 = b

b=0.87 -- Leo's rate

By comparison; Leo's rate is slower i.e. 0.87 < 0.88

6 0
2 years ago
A parking lot has seventy-eight parking spaces numbered from 1 to 78. There are no cars in the parking lot when Jillian pulls in
polet [3.4K]

Answer:

49/78

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

probability that the number on the parking space where she parks is greater than or equal to 30 = numbers greater than or equal to 30 / total numbers

49 / 78

6 0
2 years ago
62/354 simply to fraction<br>I really need help
Artyom0805 [142]
Divide both numbers by 2 you get 31/177
3 0
3 years ago
Read 2 more answers
Between what two consecutive integers is 17?
Marina CMI [18]

Answer:

No solution

Step-by-step explanation:

17 is an integer that is in between the integers of 16 and 18

16 and 18 are not consecutive integers.

No solution

8 0
2 years ago
P = √mx_ £x MX t make x the subject
vladimir2022 [97]

So, making x subject of the formula, x = [m - 2pt³ ±√(m²  - 4pt²m)]/{2t⁵}

<h3>How to make x subject of the formula?</h3>

Since p = √(mx/t) - t²x

So, p + t²x = √(mx/t)

Squaring both sides, we have

(p + t²x)² = [√(mx/t)]²

p² + 2pt²x + t⁴x² = mx/t

Multiplying through by t,we have

(p² + 2pt²x + t⁴x²)t = mx/t × t

p²t + 2pt³x + t⁵x² = mx

p²t + 2pt³x + t⁵x² - mx = 0

t⁵x² + 2pt³x - mx + p²t = 0

t⁵x² + (2pt³ - m)x + p²t = 0

Using the quadratic formula, we find x.

x = \frac{-b +/-\sqrt{b^{2} - 4ac} }{2a}

where

  • a = t⁵,
  • b = (2pt³ - m) and
  • c =  p²t

Substituting the values of the variables into the equation, we have

x = \frac{-(2pt^{3} - m) +/-\sqrt{(2pt^{3} - m)^{2} - 4(t^{5})(p^{2}t) } }{2t^{5} }\\= \frac{-(2pt^{3} - m) +/-\sqrt{4p^{2} t^{6} - 4pt^{2}m + m^{2} - 4p^{2}t^{6} } }{2t^{5}}\\= \frac{-(2pt^{3} - m) +/-\sqrt{m^{2}  - 4pt^{2}m } }{2t^{5}}\\= \frac{m - 2pt^{3}  +/-\sqrt{m^{2}  - 4pt^{2}m } }{2t^{5}}

So, making x subject of the formula,  x = \frac{m - 2pt^{3} +/-\sqrt{m^{2}  - 4pt^{2}m } }{2t^{5}}

Learn more about subject of formula here:

brainly.com/question/25334090

#SPJ1

6 0
1 year ago
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