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irakobra [83]
2 years ago
5

Mr. Ramsey just finished bathing his kids, and now he is draining the tub. The tub contains 32 gallons of water and is draining

at a rate of 3 gallons per minute. After 7 minutes, how many gallons are left in the tub?
Mathematics
1 answer:
KIM [24]2 years ago
7 0
The answer would be 11 gallons.

The tub starts with 32 gallons. Every minute it loses 3 gallons.

So after 1 minute it has lost 3 gallons. For example:
32-3= 29 Meaning that after 1 minute the tub has 29 gallons left.

Now you have to remember that the tub is draining for 7 minutes. So it is losing 3 gallons 7 times, because it loses 3 gallons each minute and there are 7 minutes.

We can use multiplication to find how many gallons the tub loses after 7 minutes. This sign “X” basically means “groups of”. We have 7 groups of 3, or
7 X 3

This is the same as saying we have 3, 7 times. Written like this:

3+3 +3 +3 +3 +3 +3 = 21

So after 7 minutes the tub has lost 21 gallons.

Now we take the original number of gallons and take away what was lost:

32-21=11

So there are 11 gallons left after 7 minutes.

Please let me know if you need any further explanation. Hope this helped.

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A triangle has an angle that measures 95°. The other two angles are in a ratio of 3:14. What are the measures of those two angle
Marta_Voda [28]

Answer: 15° and 70°

Step-by-step explanation:

The sum of angles of a triangle is 180.

One of the angle is given to be 95°, this means that the sum of the remaining two angles will be ;

180 - 95 =  85°

The ratio of the two sides is given to be 3 : 14

Calculating the angles of each ,the angle with the ratio 3 will be

3/17 x 85 = 15°

The angle with the ratio 14 will be

14/17 x 85 = 70°

Therefore : the measures of the two angles are : 15° and 70°

7 0
3 years ago
In the right triangle above a=2.7 and b=4.3. Find the value of c, rounded to the nearest tenth
morpeh [17]

Answer:

  5.1

Step-by-step explanation:

Since there is no diagram provided here, we assume that c is the length of the hypotenuse, so we have ...

  c² = a² +b² . . . . . . Pythagorean theorem

  c² = 2.7² +4.3² = 25.78

  c = √25.78 ≈ 5.0774

  c ≈ 5.1

7 0
3 years ago
Find the measure of the missing angle<br><br> Please help me, I’ll give you points
Leno4ka [110]

Answer:

a = 28°

Step-by-step explanation:

62°+a° = 90°

a = 90 - 62

a = 28°

5 0
2 years ago
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An oak tree is 60 feet tall and casts a 40-foot shadow. What is the approximate distance from the top of the oak tree to the top
Murljashka [212]
The approximate distance from the top of the tree to the top of the shadow is 20ft
7 0
3 years ago
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13. The perimeter P (in yards) of a soccer field is represented by the formula P = 24 + 2w,
rjkz [21]

Answer:

w = \frac{1}{2}(P - 24)

w = 153\ yards

Step-by-step explanation:

Given

P = 24 + 2w

Require

Solving (a):

P = 24 + 2w

Subtract 24 from both sides

P-24 = 24-24 + 2w

P-24 = 2w

Divide both sides by 2

\frac{1}{2}(P - 24) = \frac{2w}{2}

\frac{1}{2}(P - 24) = w

w = \frac{1}{2}(P - 24)

Solving (b):

Substitute 330 for P un the expression in (1)

w = \frac{1}{2}(330 - 24)

Evaluate the bracket

w = \frac{1}{2}(306)

w = 153\ yards

<em>Question c; seem irrelevant</em>

7 0
3 years ago
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