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ki77a [65]
4 years ago
5

A crane cable can support a maximum load of 17,000 kg. If a bucket has a mass of 4,000 kg and gravel has a mass of 1,500 kg for

every cubic meter, how many cubic meters of gravel (g) can be safely lifted by the crane? Enter any fractions as reduced improper fractions.
Mathematics
1 answer:
vlada-n [284]4 years ago
6 0
We can set up a model for this problem

4000 + 1500x = 17,000
1500x + 4000 = 17,000

Now solve for x

1500x + 4000 =  17000
1500x + 4000 - 4000=  17000 - 4000
1500x = 13000
1500x /  1500 = 13000 / 1500
x =  \frac{26}{3}





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grade 5 math. How would I write a ratio for a project when asked to compare prices from two stores, IE 32 slices of texas toast
REY [17]
To compare, think of the ratios as a fraction. so it is 32 slices per $7.99.
You can also say $7.99 per 32 slices.
so it can be  ̲7̲.̲9̲9̲ ̲   or the other way around.
                       32
To find the unit price, or the price of 1 item, you have to divide the price by the amount.
So 7.99 divided by 32 is <span>0.249687, but we don't have thousandths of a cent, so we round to the hundredth.
$0.25 is the unit price, or the price of 1 toast, rounded to the nearest cent.

So let's try another one, this time we have 2 different rates, and we will compare them.

So let's say we are buying cheese. Store A sells 12 blocks of cheese for $14.99, and Store B sells 20 blocks for $23.99.
So first we have to find the unit rate for each.

             Store A                                 Store B
         14.99 per 12                        23.99 per 20
                                         
             </span> ̲1̲4̲.̲9̲9̲ ̲                                  ̲2̲3̲.̲9̲9̲ ̲<span>
                 12                                         20

14.99 / 12 is </span>1.24916                    23.99 / 20 is <span>1.1995</span>
<span>$1.25, if rounded to the cent.    $1.20, if rounded to the cent
</span>1 block is $1.25 in Store A.         1 block is $1.20 in Store B

Store B sells for cheaper.

Hope that helps.
7 0
4 years ago
A number cube with the numbers 1 through 6 is rolled. What is the theoretical probability, as a decimal, of the number cube show
Zina [86]
The theoretical probability of rolling a three would be 1/6.
1/6 expressed as a decimal would be 0.17.
4 0
3 years ago
Read 2 more answers
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11Alexandr11 [23.1K]

5 + x = 14 is the answer                

7 0
3 years ago
Wendy has $27 to buy seed for her birdfeeders. Each bag of seed costs $5.
Alekssandra [29.7K]

Answer:

5

Step-by-step explanation:

If Wendy has $27 to buy seeds, and each seed bag costs $5, then:

5 · 5 = 25

5 · 6 = 30

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27>25

So, Wendy is able to buy 5 bags and remain with 2 dollars.

5 0
3 years ago
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Find the distance between the two points. (-1, 6), (2, 8) Round to the nearest hundredth
MakcuM [25]

Answer:

d = \sqrt{13} or d = 3.61

Step-by-step explanation:

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5 0
4 years ago
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