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Papessa [141]
3 years ago
5

A flea treatment last 4 weeks. Jim's dog had to be treated every 3 weeks. How many weeks of flea treatment would Jim's dog get i

f the treatments only lasted 3 weeks?
Mathematics
1 answer:
Reptile [31]3 years ago
6 0

Answer:

Number of weeks in a year = 52 weeks

If in a normal year when each package of flea treatment lasts for 4 weeks, then in a year there Jim's dog will have to be treated for

Where as, when the fleas are bad in a year, the treatment lasts for only 3 weeks.

Then in a year Jim's dog would get

So Jim's dog will get 17- 13 =4 treatments more.

4 treatments that are made in 3 weeks each will be 4×3 =12 weeks more treatment

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Use the following image to assist in your answer.<br> a =<br> - 6<br> - 9<br> - 4
vfiekz [6]

Step-by-step explanation:

Pythagoras' theorem for the smallest one :

c^2 = 4^2 + 6^2

c^2 = 16 + 36

c^{2} = 52

Pythagoras' theorem for the middle one :

b^{2} = 6^{2} + a^{2}

Pythagoras' theorem for the biggest one :

(4+a)^2 = c^2 + b^2

16 + 8a + a^2 = 52 + b^2

Using the formula before (for b^2) it becomes :

16 + 8a + a^2 = 52 + (6^2 + a^2)

16 + 8a + a^2 = 52 + 6^2 + a^2

16 + 8a = 52 + 6^2

16 + 8a = 52 + 36

16+8a = 88

8a = 88-16

8a = 72

a = \frac{72}{8}

a = 9

Verifying :

b^2 = 6^2 + a^2

b^2 = 36 + 81

b^2 = 117

b^{2} = 117

The biggest one :

(4+a)^2 = c^2 + b^2

(4+9)^2 = 52 + 117

13^2 = 169

True

8 0
2 years ago
Teesha is in French club. There are 10 freshman, 12 sophomores, 15 juniors, and 30 seniors in the club. The advisor is going to
FrozenT [24]
We know that

In French club <span>there are
10 freshman
</span><span>12 sophomores
15 juniors
30 seniors

total of the members------> (10+12+15+30)=67
total </span> freshman-----> 10

so
<span>the probability that a freshman will be chosen=10/67
and 
</span><span>the probability that a freshman will not be chosen=(67-10)/67
</span>the probability that a freshman will not be chosen=57/67---> 0.8507
0.8507= 85.07%

the answer is
the probability that a freshman will not be chosen is 85.07%
6 0
3 years ago
Solve 5x+7 &gt; 17.<br> {x1x&lt;2}<br> O {XIX&gt; 2}<br> O {xIx&gt;-2}<br> O {x1x &lt; -2}
fgiga [73]

Answer:

The answer is x > 2

Step-by-step explanation:

to solve this inequality:

5x+7 > 17

Put "-7" on both sides

5x+10

divide by 5 on both sides

your answer should be 2.

8 0
1 year ago
What number is 33% of 1,000
horsena [70]
The correct answer is 330.
4 0
3 years ago
If the hypotenuse of a right triangle is 6 and one leg is 5 what is the other leg?
Zolol [24]
Recall the Pythagorean Theorem which says:

a^2 + b^2 = c^2

where c is the hypotenuse and a and b are the other 2 legs. Now we just plug in numbers we already know (the hypotenuse and one leg) and solve for the unknown side:

5^2 + b^2 = 6^2

25 + b^2 = 36

b^2 = 11

b = √11

Thus the answer is C.
6 0
3 years ago
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