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Vika [28.1K]
3 years ago
12

Kathleen bought 4 dresses that each cost the same amount and pair of jeans that cost $40. The items she bought cost a total of $

160 before tax was added. Write and solve an equation to find d the cost of each dress
Mathematics
1 answer:
stepan [7]3 years ago
3 0
Each dress would be $30 because, if you do 160-40 = 120 then 120 divided by 4 = 30. So that’s the answer 30
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What is the exact volume of the cone?
Fudgin [204]
We know, Volume of a cone = πr² h/3
It would be: π * (4)² `10/3
= π * 16 * 10 / 3
= 160π / 3 cm³

In short, Your Answer would be Option C

Hope this helps!
7 0
3 years ago
Step 3a: Calculating the average rate
Alex73 [517]

9514 1404 393

Answer:

  a) average rate = (total distance)/(total time)

  b) Rave = 2·R1·R2/(R1 +R2)

  c) cheetah's average rate ≈ 50.91 mph

Step-by-step explanation:

a) Let AB represent the distance from A to B. Let t1 and t2 represent the travel times (in hours) on leg1 and leg2 of the trip, respectively. Then the distances traveled are...

  First leg distance: AB = 70·t1   ⇒   t1 = AB/70

  Second leg distance: AB = 40·t2   ⇒   t2 = AB/40

The average rate is the ratio of total distance to total time:

  average rate = (AB +AB)/(t1 +t2)

  average rate = 2AB/(AB/70 +AB/40) = 2/(1/70 +1/40) = 2(40)(70)/(70+40)

  average rate = 560/11 = 50 10/11 . . . mph

__

No equations are given, so we cannot compare what we wrote with the given equations. In each step of the solution, we have used the rules of algebra and equality.

b) For two rates over the same distance (as above), the average is their harmonic mean:

  average rate = 2r1·r2/(r1+r2)

__

c) The cheetah's average rate was 50 10/11 mph ≈ 50.91 mph.

4 0
3 years ago
In 2010, the population of a city was 241,000. From 2010 to 2015, the population grew by 5%. From 2015 to 2020, it fell by 4%. T
lawyer [7]

Answer:

242, 900 people

Step-by-step explanation:

To begin, it says that the population grew by 5%.

(241000)(1.00 + 0.05) = <em>population of the city in 2015</em>

(241000)(1.05) = 253050

253050 is the population of the city in 2015. From 2015 to 2020 it fell four percent.

(253050)(1.00 - 0.04) = <em>population of the city in 2020</em>

(253050)(0.96) = 242928

242928 is the exact population of the city. However, it says to round to the nearest hundred. Since 28 is less than 50, then it would round down to 900.

Therefore, the answer would be 242, 900 people.

4 0
3 years ago
Which is an equivalent form of the expression 1800(1.2)^-t
ololo11 [35]

Answer:

1800(5/6)^t

Step-by-step explanation:

I don't see any answer choices, but this would be another form if it is listed. The negative exponent means that you get the reciprocal of the fraction (in this case 1.2). This turns 1.2 into (1/1.2), which is equivalent to 5/6.

7 0
2 years ago
The dolphins are feed 64 buckets of fish each day. The penguins are feed 1/8 as many buckets of fish as the dolphins. How many b
Sav [38]

Answer:

8

Step-by-step explanation:

You just gotta divide 64 by 8

4 0
3 years ago
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