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patriot [66]
3 years ago
6

There are 19 birds in a pond, all which are ducks or geese.If the number of ducks in the pond is 1 more than twice the number of

geese in the pond, how many geese are in the pond?
Mathematics
1 answer:
Temka [501]3 years ago
6 0

Answer: there are 3 geese in the pond.

Step-by-step explanation:

Let x represent the number of ducks in the pond.

Let y represent the number of geese in the pond.

There are 19 birds in a pond, all which are ducks or geese. This means that

x + y = 19 - - - - - - - - - - - - - - -1

If the number of ducks in the pond is 1 more than twice the number of geese in the pond, it means that

x = 2y + 1

Substituting x = 2y + 1 into equation 1, it becomes

2y + 1 + y = 19

3y = 19 - 1 = 18

y = 18/3 = 6

x = 2y + 1 = 2 × 6 + 1

x = 13

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5\frac{17}{18}
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Q1. Peter bought 3slices of chicken pizza and 4 slices of mushroom pizza for a total of $12.50.
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Answer: the cost of mushroom pizza is $2.00 dollars. The cost of chicken pizza is $1.50.

Hope this helped! Can I get Brainliest?
6 0
2 years ago
A rectangle is inscribed in a right isosceles triangle, such that two of its vertices lie on the hypotenuse, and two other on th
Ronch [10]
Refer to the attachment for the diagram of the problem.

Let us call the two identical sides of the isosceles triangle with s. Since we know that the hypotenuse measures 45 inches, we can find s by using the Pythagorean Theorem:
45^{2} = s^{2}+ s^{2}
45^{2} = 2s^{2}
45^{2} = 2s^{2}
1012.5 = s^{2}
s=31.82

We can notice that the figure will have similar triangles with the smaller triangle having one length equal to 5x. We then compute for the equivalent hypotenuse of the smaller triangle (denoted as y).
\frac{31.82}{5x} = \frac{45}{y}
y=7.07x

We can then solve for the value of x by applying the Pythagorean Theorem in the smaller triangle.
(7.07x)^{2} = (5x)^{2}+ (31.82-2x)^{2}
50x^{2} = 25x^{2}+ 1012.5-127.28x+4x^{2}
0= -21x^{2}-127.28x+1012.5
x=4.55,-10.61

We ignore the negative value since there is no negative side. x is therefore 4.55 thus the dimensions of the rectangle would be 22.75 and 9.1. For the other case, the dimensions would simply be inverted since we would be dealing with a rectangle with its width longer than its length.

6 0
3 years ago
You buy milk that contains 180 calories per 2 cups. Use a ratio table to find the number of calories in 5.5 cups.
Ludmilka [50]

Answer:

The number of calories in 5.5 cups are <u>495</u>.

Step-by-step explanation:

Given:

You buy milk that contains 180 calories per 2 cups.

Now, to find the number of calories in 5.5 cups.

Let the number of calories in 5.5 cups be x.

As, in 2 cups there are 180 calories.

2 cups is equivalent to 180 calories.

Thus, the ratio would be 2:180.

So, in 5.5 cups there are x calories.

5.5 cups is equivalent to x calories.

Thus, the ratio would be 5.5:x.

Now, we set proportion to get the number of calories in 5.5 cups:

2:180::5.5:x

\frac{2}{180} =\frac{5.5}{x}

<em>By cross multiplying we get:</em>

2x=990

<em>Dividing both sides by 2 we get:</em>

x=495.

Therefore, the number of calories in 5.5 cups are 495.

4 0
3 years ago
What can you conclude about triangle 2?
Lemur [1.5K]

Answer: Triangle 2 is congruent to triangle 1 because a translation is a rigid motion

Step-by-step explanation:

8 0
3 years ago
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