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boyakko [2]
1 year ago
10

An animal gained 5 kilograms steadily over 25 years. What is the unit rate of kilograms per​ year?

Mathematics
1 answer:
zalisa [80]1 year ago
5 0

Answer:

0.2kg

Step-by-step explanation:

5/25 = 0.2 which is the rate of kg per year

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Which equation has the same solution as x^2-6x-13=0?
NeTakaya
x^2-6x-13=0\\\\\underbrace{x^2-2x\cdot3+3^2}_{use:(a-b)^2=a^2-2ab+b^2}-3^2-13=0\\\\(x-3)^2-9-13=0\\\\(x-3)^2-22=0\\\\\boxed{(x-3)^2=22}
8 0
3 years ago
The ratio of the numerator to the denominator of a fraction is 2 to 3. If both the numerator and the denominator are increased b
masha68 [24]

Answer:

The fraction is \frac{4}{6}

Option (B) is correct.

3n-2d=0  and 4n+8=3d+6

Step-by-step explanation:

Let n denotes numerator and d denotes denominator of the fraction.

Given : The ratio of the numerator to the denominator of a fraction is 2 to 3.

That is \frac{n}{d}=\frac{2}{3}

Cross multiply , we get,

3n=2d

Or, 3n-2d=0   ........(1)

Also, given : . If both the numerator and the denominator are increased by 2, the fraction becomes 3/4

That is \frac{n+2}{d+2}=\frac{3}{4}

Cross multiply , We get,

4{n+2}={3}{d+2}

4n+8=3d+6  .........(2)

3d-4n=2  .......(3)

Thus, from (1) and (2) , option (B) follows.

Solving equation (1) and (3) to get the original fraction using elimination method,

3n - 2d = 0    ............(1)

and 3d - 4n = 2       .........(3)

Multiply equation (1) by 3 , we get ,

9n - 6d = 0  ..........(4)

Multiply equation (3) by 2 , we get ,

-8n + 6d = 4 ..........(5)

Adding (4) and  (5) , we get,

9n - 6d -8n + 6d = 4 + 0

⇒ n = 4

Put n = 4 in (1), we get

3n - 2d = 0 ⇒ 3(4) - 2d = 0 ⇒ 12 -2d = 0  ⇒  12 = 2d ⇒ d = 6

so, the numerator is 4 and  the denominator is 6.

Thus, the fraction is \frac{4}{6}


6 0
2 years ago
HELPP
Aliun [14]

Answer:

1 and 4

2 and 3


5 0
3 years ago
What is 3 divided by 5? A: 1 2/3 B:15 C:3/5 D:1/15
igor_vitrenko [27]
The answer is C : 3/5
8 0
3 years ago
Please help stuck on probelem
Maurinko [17]
<h3>Answer:  36 square units</h3>

=========================================================

Explanation:

Draw a horizontal line to cut the figure into a rectangle on top and a triangle down below.

The rectangle has length and width of 6 and 4 (horizontal and vertical components respectively). The area of this rectangle is 6*4 = 24 square units.

The triangle has a base of 6 and a height of 4. The base and height of any triangle are always perpendicular.

The area of the triangle is base*height/2 = 6*4/2 = 24/2 = 12 square units. If you were to cut out half of the triangle and rearrange things, you'll find that a rectangle can be formed. This rectangle is half in area that of the first rectangle we found. This is why we divide by 2 when finding the area of the triangle.

Once you know the two sub-areas, we add them up to get the overall area: 24+12 = 36 square units.

5 0
3 years ago
Read 2 more answers
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