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kari74 [83]
2 years ago
6

An animal park has lions, tigers and zebras. 20% of the animals are lions and half of the animals are zebras. If there are 120 a

nimals at the park, how many tigers are there
Mathematics
1 answer:
RoseWind [281]2 years ago
6 0

Answer:

36\ tigers

Step-by-step explanation:

Let

x ----> the number of lions

y ----> the number f tigers

z ----> the number of zebras

we know that

x+y+z=120 ----> equation A

Remember that

20\%=20/100=0.20

50\%=50/100=0.50

To find out the number of lions, multiply the total animals by the percentage of lions

x=0.20(120)=24\ lions

To find out the number of zebras, multiply the total animals by the percentage of zebras

z=0.50(120)=60\ zebras

Substitute the value of x and the value of z in equation A and solve for y

24+y+60=120

y+84=120

y=36\ tigers

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Circle the common factors of 18W and 30WZ
Alex

Answer:

6, 6w, 3w, z and w.

Step-by-step explanation:

The common factors are those values that can divide 18w and 30wz perfectly.

Take a look at 6, 6 can divide both perfectly to give 3w and 5wz respectively.

We move on to 6w, this can also work perfectly to yield 3 and 5z.

6xz is not a factor as both values do not contain any x term.

3z is not a factor. Although 30wz has a z term, 18w does not.

3w is a factor as it can give 10z and 6 when used to divide the terms.

Z is not a factor as the 18w term does not contain a z term.

10w is not a term as it can not divide 18w perfectly

w is a term as it can divide both 18w and 30wz perfectly to yield 18 and 30z respectively.

6 0
2 years ago
What set of reflections would carry triangle ABC onto itself?
aivan3 [116]
<span><u><em>The correct answer is:</em></u>
4) y-axis, x-axis, y-axis, x-axis.

<u><em>Explanation</em></u><span><u><em>: </em></u>
Reflecting a point (x,y) across the <u>x-axis</u> will map it to (x,-y).
Reflecting a point (x,y) across the <u>y-axis</u> will map it to (-x,y).
Reflecting a point (x,y) across the line <u>y=x</u> will map it to (y, x).

We want a series of transformations that will map every point (x,y) back to (x,y). This means that everything that gets done in one transformation must be undone in another. The only one where this happens is #4.

Reflecting across the y-axis first negates the x-coordinate; (x,y) goes to (-x,y).
Reflecting this across the x-axis negates the y-coordinate; (-x,y) goes to (-x,-y).
Reflecting this point back across the y-axis negates the x-coordinate again, returning it to the original: (-x,-y) goes to (x,-y).
Reflecting this point back across the x-axis negates the y-coordinate again, returning it to the original: (x,-y) goes to (x,y).
We are back to our original point.</span></span>
8 0
2 years ago
Read 2 more answers
Samuel and Hayden solved the system of equations –6x – 6y = –6 and 7x + 7y = 7. Samuel says there are infinitely many solutions,
yawa3891 [41]

Answer:

Samuel is correct i.e  there are infinitely many solutions

Step-by-step explanation:

Given that Samuel and Hayden solved the system of equations –6x – 6y = –6 and 7x + 7y = 7. we have to find that whether the system of equations has infinitely many solutions or not.

A system of linear equations has infinite solutions if the graphs are the exact same line i.e the the equations are equivalent.

The first equation:  –6x – 6y = –6 ⇒ x+y=1 ⇒ y=-x+1

∴ the slope of its line is -1 and the y-intercept is 1

The second equation:  7x + 7y = 7 ⇒  x+y=1 ⇒ y=-x+1

∴ the slope of its line is -1 and the y-intercept is 1.

Here, we get the equation which has the same slope and y-intercept as that of the first equation.

In other words, the two equations are represented by the same line. This implies that the lines intersect infinitely many times, or that the system has infinitely many solutions.

Hence, Samuel is correct.

7 0
2 years ago
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belka [17]

Answer:

1506meters

Step-by-step explanation:

1hour-60minutes

which means half an hour is 30minutes,so it's more like they are asking you to find how far the swimmer can swim in 30minutes

50.2-1min

x -30min

x=50.2×30

x=1506meters

6 0
2 years ago
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The oblique rectangular prism below has a length of 6 cm, a width of 8 cm, and a height of 7 cm.What is the area of the base of
Rudiy27

Answer:

Area of the base of the prism = 48cm²

Step-by-step explanation:

A rectangular prism has a rectangular base

Area of a rectangular base, A = length x width

A = 6cm x 8cm = 48cm²

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2 years ago
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