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Novosadov [1.4K]
3 years ago
8

A farmer has 113 sheep. 47 of them are males. How many more female sheep are there than male sheep?

Mathematics
1 answer:
laiz [17]3 years ago
6 0
Considering the rest of the sheep are females, you just subtract 47 from 113.
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if the value of x varies directly as the value of y , and x = 16 when y = 3/4 , what is the value of x when y = 3/8 ?
Olin [163]

Answer:

x=8

Step-by-step explanation:

If the value of x varies directly as the value of y we can say they are directly proportional. This implies that when y increases x will increase too, and when y decreases x will also decrease.

If x=16 when y=3/4 we can write their relation as:

x/y = 16/(3/4) = 16*(4/3) = 64/3

So, for every value of y, the ratio x/y must maintain equal to 64/3 because both values are proportional.

Now we can see what happens to x when y varies. If y=3/8:

x/(3/8) = 64/3

Multiply both sides by 3/8 to eliminate the 3/8 in the denominator.

x/(3/8) * (3/8) = (64/3) * (3/8)

See that we have a 3 multiplying and another dividing, we can eliminate them.

x = 64/8

x = 8

So, if y decreases to 3/8 x will decrease to 8. Notice that y is decreasing in a half as 3/8 is the half of 3/4, and x is also decreasing in a half from 16 to 8, what makes sense.

3 0
2 years ago
Given the g(x)=f(x) + k, identify a value of k that transforms f into g
Yuliya22 [10]

Answer:

a vertical shift of 6 units up

Step-by-step explanation:

We have the transformation:

g(x) = f(x) + k

This is what we call a vertical shift, this transformation moves the graph of f(x) k units, and the motion is upwards if k is positive, and downwards if k is negative.

Here we can see that the graph of f(x) intersects the y-axis at y = -2

While the graph of g(x) intersects the y-axis at y = 4.

Then the distance between these two points is:

4 - (-2) = 6

This means that the graph of g(x) is 6 units above the graph of f(x)

Then we have that k must be equal to 6, then the transformation is:

g(x) = f(x) + 6

This is a vertical shift of 6 units up.

8 0
3 years ago
A ribbon is 4m long. how many pieces each of 30cm long can be cut from the ribbon​
labwork [276]

9514 1404 393

Answer:

  13

Step-by-step explanation:

4 m is 400 cm, so the number that can be cut is ...

  (400 cm)/(30 cm/piece) = 13 1/2 pieces

13 pieces can be cut that are 30 cm long.

6 0
2 years ago
Read 2 more answers
What is two ptime 300
melisa1 [442]
2 times 300 is 600

you welcum
5 0
3 years ago
Read 2 more answers
The sum of three consecutive odd numbers is 39. What is the smallest of these numbers?
8_murik_8 [283]

Step-by-step explanation:

As, they all are consecutive and odd

The equation = x + (x + 2) + (x + 4) = 39

X represent the first number and also the smallest one

X + 2 is the 2nd number, it's consecutive and odd so we need to add 2

X + 4 is the 3rd number, it's consecutive and odd to (x+2) so we will just add 2 more = x + 2 +2 = x +4

So x + (x + 2) + (x + 4) = 39

3x + 6 = 39

3x = 39 - 6

3x = 33

x = 11

So smallest number = 11

And x + 2 = 11+2 = 13 (second number)

And x + 4 = 11 + 4 = 15 ( third number )

So only because u asked for the smallest

So it's 11

5 0
2 years ago
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