Explain your answer please.

At a bargain store, Tanya bought 3 items that each cost the same amount. Tony bought 4 items that each cost the same amount., bu

TEA [102]

Answer: Let x represent the cost of one of Tanya's items.

Then the cost of one of Tony's items =x - 2.25. But we have:

3x =4(x - 2.25)

3x =4x - 9 subtract 3x from both sides

0 =x - 9 add 9 to both sides

x=$9 The cost of one of Tanya's items

27 Total cost of Tanya's 3 items

2.25 =$6.75 cost of one of Tony's items.

27 Total cost of Tony's 4 items.

3 x 6.75 =$27. This shows that both Tony and Tanya spent the same amount of money.

Step-by-step explanation:

6 0

3 years ago

Question : Find 23% of 700kg

lina2011 [118]

Answer:

$700kg \times \frac{23}{100} \\ = 161$

6 0

3 years ago

Read 2 more answers

Sold 685 boxes of cookies about how many boxes are they sold rounded to the nearest ten

MissTica

Answer:

690

Step-by-step explanation:

Round from the tens place.

8 0

3 years ago

a new car, originally worth $35,795, depreciates at a rate of 17% per year. The value of the car can be represented by the equat

Sergio [31]

We have been given that a new car, originally worth $35,795, depreciates at a rate of 17% per year. The value of the car can be represented by the equation $y=35795(0.83)^x$ , where x represents the number of years since purchase and y represents the value (in dollars) of the car.

To find the value of car of after 5 years, we will substitute $x=5$ in our given equation as:

$y=35795(0.83)^5$

$y=35795\cdot (0.3939040643)$

$y=14099.79598$

Upon rounding to nearest tenth, we will get:

$y\approx 14099.8$

Therefore, the car will be worth $14,099.8 after 5 years it is first purchased.

Since $14,099.8 is less than original value of car, therefore, we know hat value of car is depreciating and $14,099.8 is correct answer.

We also know that an exponential decay function is in form $y=a(1-r)^x$ , where,

y = Final value after t years,

a = Initial value,

r = Decay rate in decimal form,

x= Time.

$17\%=\frac{17}{100}=0.17$

$y=35795(1-0.17)^x$

$y=35795(0.83)^x$

8 0

3 years ago

Which expression is equivalent to...

olga_2 [115]

Answer:

$8m^5$

Step-by-step explanation:

Well we can simplify the numerator, by multiplying the 4 by the 6 and the m^3 and m^4 (add the exponents, explained in one of my previous answers I think)

This gives us the fraction: $\frac{24m^7}{3m^2}$

We can now divide the m^7 by m^2 by subtracting the exponents, and the reason why this works, is you're simply cancelling out the m's, If we express this in expanded form we have the following fraction: $\frac{24 * m * m * m * m * m * m * m}{3 * m * m}$

Since there is two m's in the denominator and there is also two (more than two) m's in the numerator, we can cancel those two m's out, and we get the fraction:

$\frac{24 * m * m * m * m * m}{3}$ which can be simplified in exponent form as: $\frac{24m^5}{3}$ , now all we have to do is divide the 24 by the 3, to get 8

This gives us the answer: $8m^5$

6 0

2 years ago