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Ray Of Light [21]
2 years ago
5

Kimberly traveled to her friend's house and went 300miles in 5 hour. On her way home she took a different route and trveled 420

miles in 7 hours. Are these ratios equivalent? Use proportion to show complete work.
Mathematics
2 answers:
Arturiano [62]2 years ago
6 0
Here the average speed for going to friends house = 300/5 miles/hr
= 60 miles/hour

And average speed while coming back = 420/7 miles/hour
=60 miles/hour

I.e. 300/5 = 420/7 = 60 miles/hr

Hence the ratios are equivalent in both ways
Aleks04 [339]2 years ago
3 0
300 miles/5 hours=60 miles per hour
420 miles/7 hours=60 miles per hour

 


therefore they both have an equivalent proportion of 60 miles per hour
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Find the first, fourth, and eighth terms of the sequence. A(n) = –3 • 2^n–1
Sphinxa [80]
A(n) = –3 • 2⁽ⁿ⁻¹⁾

for n = 1 ,  A₁ = -3.(2)⁰ = -3
for n = 2 ,  A₂ = -3.(2)¹ = -6
for n = 3 ,  A₃ = -3.(2)² = -12
for n = 4 ,  A₄ = -3.(2)³ = -24
...........................................
for n = 8 ,  A₈ = -3.(2)⁷ = -384


4 0
2 years ago
A farm can harvest 120 pounds of carrots per acre of land. Each crate can hold 24 pounds of carrots. If a farmer owns 4.8 acres
Shtirlitz [24]

Answer:

The farmer needs 24 crates to hold the carrots.

Step-by-step explanation:

To determine how many crates the farmer needs to hold the carrots, knowing that his farm has 4.8 acres of land, where he can harvest 120 pounds per acre, and that each crates can hold up to 24 pounds of carrots, the following calculation must be performed:

(4.8 x 120) / 24 = X

576/24 = X

24 = X

Thus, the farmer needs 24 crates to hold the carrots.

6 0
1 year ago
Boris chooses three DIFFERENT numbers.
g100num [7]

Answer:

4, 5, 27.

Step-by-step explanation:

Let us find our numbers using given information.

Factors of 20 are: 1,2,4,5,10 and 20.

Let us try by taking number 4 and 5.

36-(4+5)=36-9=27  

We can see that 3^{3} =27

Now let us find sum of these numbers.

4+5+27=36

Therefore, numbers chosen by Boris will be 4, 5 and 27 as these numbers satisfies our all conditions.


6 0
2 years ago
Which is bigger 0.96 0r 19/20
REY [17]
0.96 or 19/20

0.96 as fraction = 96/100 = 19.2 / 20      5 into 96 is 19.2 and 5 into 100 is 20

So 0.96 is the same as 19.2/20

Since 19.2 / 20  and 19 / 20 have the same denominator,  therefore the 19.2 / 20 is bigger than 19 / 20.

So the 0.96 is bigger than the 19 / 20.
7 0
2 years ago
a water tank holds 24,000 gallons how many hours will it take for two thirds of the water to be used if the water is used at an
melomori [17]
In this question there are several important information's worth noting.Based on these information's the answer can be easily found. It is given that the total capacity of the tank is 24000 gallons. in 24 hours or in 1 day the amount of water used is 650 gallons. The question requires us to find the time it will take to use 2/3 rd of the water in the tank.
then
2/3 rd water in respect to total water in tank = (2/3) * 24000
                                                                       = 16000
So 2/3 rd water of full tank is equivalent to 16000 gallons.
Now
650 gallons of water is used in = 24 hours
So
16000 gallons of water will be used in = (24/650) * 16000
                                                             = 590.77 hours
So it will take 590.77 hours to consume 2/3rd of the total water present in the tank.
6 0
2 years ago
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