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zavuch27 [327]
1 year ago
13

Harry is riding a train that goes 70 miles an hour. How far will he travel is 3.5 hours?

Mathematics
2 answers:
alexdok [17]1 year ago
4 0

Answer: 245 miles

Step-by-step explanation:

(70)(3.5)= 245

alekssr [168]1 year ago
4 0
Harry will travel 24.5 miles

(70) (3.5) = 24.5
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How do you solve the proportion7/5=x/3 ??
mote1985 [20]
The way I like to solve proportions is by cross multiplying and dividing. First yo multiply the diagonals and then you divide by the other number. So if your proportion is 7/5 = x/3, your equation would be 7*3/5.  So 7*3 is 21, so your equation is now 21/5.  With some long division, you'll see that 21/5 = 4.2  That's your answer, feel free to ask more questions if you need!!(:
5 0
3 years ago
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"At most" and "No more than" are both clue words for...<br> a) <br> c)≤<br> d)≥
polet [3.4K]

Answer:

d) ≤

Step-by-step explanation:

3 0
2 years ago
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Deluxe River Cruises operates a fleet of river vessels. The fleet has two types of vessels: A type-A vessel has 60 deluxe cabins
bixtya [17]

Answer: It should be used 2 for type-A and 3 for type-B to minimize the cost.

Step-by-step explanation: As it is stipulated, <u>x</u> relates to type-A and y to type-B.

Type-A has 60 deluxe cabins and B has 80. It is needed a minimum of 360 deluxe cabins, so:

60x + 80y ≤ 360

For the standard cabin, there are in A 160 and in B 120. The need is for 680, so:

160x + 120y ≤ 680

To calculate how many of each type you need:

60x + 80y ≤ 360

160x + 120y ≤ 680

Isolating x from the first equation:

x = \frac{360 - 80y}{60}

Substituing x into the second equation:

160(\frac{360 - 80y}{60}) + 120y = 680

-3200y+1800y = 10200 - 14400

1400y = 4200

y = 3

With y, find x:

x = \frac{360 - 80y}{60}

x = \frac{360 - 80.3}{60}

x = 2

To determine the cost:

cost = 42,000x + 51,000y

cost = 42000.2 + 51000.3

cost = 161400

To keep it in a minimun cost, it is needed 2 vessels of Type-A and 3 vessels of Type-B, to a cost of $161400

8 0
2 years ago
Lara planted some seeds. For every 3 seeds Lara planted, only 2 seeds grew.
Tresset [83]

Given:

For every 3 seeds Lara planted, only 2 seeds grew.

Altogether, 12 seeds grew.

To find:

The number of total seeds planted by Lara.

Solution:

It is given that for every 3 seeds Lara planted, only 2 seeds grew. It means the ratio of total seeds planted to seeds grew is 3:2.

Altogether, 12 seeds grew.

Let x be the number of total seeds planted by Lara. Then,

x:12=3:2

\dfrac{x}{12}=\dfrac{3}{2}

x=\dfrac{3}{2}\times 12

x=18

Therefore, the total number of seeds planter by Lara is 18.

3 0
2 years ago
The product of two consecutive odd integers is 782. What are the integers?
Alex Ar [27]

Call the smaller of the two odds = n

Call the next number in the sequence = n + 2

n*(n +2) = 782           Remove the brackets.

n^2 + 2n = 782          Subract 782 from both sides.

n^2 + 2n - 782 = 0    We are going to have to factor this.

Discussion

This problem can't be done the way it is written. The product of an odd integer with another odd integer is and odd integer. There are no exceptions to this. So you need to give a number that has two factors very near it's square root for this question to work.

For example, you could use 783, (which factors) instead of 782 .

Solve

n^2 + 2n - 783 = 0

(n + 29)(x - 27) = 0

<u>Solution One</u>

n - 27 = 0

n = 27

The two odd consecutive integers are 27 and 29.

<u>Solution Two</u>

n + 29 = 0

n = - 29

The two solution integers are -29 and - 27 Notice that - 29 is smaller than - 27.

7 0
3 years ago
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