1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
gregori [183]
2 years ago
14

A zoo has a black rhinoceros that weighs 18 times as much as an average-size chimpanzee. The rhinoceros weighs 2,250 pounds.

Mathematics
1 answer:
Vinvika [58]2 years ago
8 0

Answer: 125 pounds

Step-by-step explanation:

Let's first represent the weight of the black rhinoceros and chimpanzee with variables. We will assign <em>r</em> for the rhinoceros and <em>c</em> for the chimpanzee.

In the question, we were given that the weight for a black rhinoceros is 18 times as much as an average-size chimpanzee. This makes 18 times the chimpanzee's weight equal to the rhinoceros' weight.

Let's put this into an equation.

r=18*c

Now, let's put in the values we know to find the weight of the chimpanzee (i.e., <em>c</em>). We know the weight of a rhinoceros (represented by <em>r</em>) is 2250 pounds, so we can replace it for <em>r</em> in the equation.

2250=18*c

To solve this equation, we can divide both sides by 18 to get c by itself and know what it's value is.

\frac{2250}{18}=\frac{18*c}{18}

We can remove the \frac{18}{18} from the right side to be left with c. We can also divide 2250 by 8 to get the weight of an average-size chimpanzee.

c=\frac{2250}{18}\\ c=125

Hence, an average-size chimpanzee weighs 125 pounds.

You might be interested in
I need help with this. Thanks <br><br><br> I need to find the degree
scoundrel [369]

Answer:

  119.05°

Step-by-step explanation:

In general, the angle is given by ...

  θ = arctan(y/x)

Here, that becomes ...

  θ = arctan(9/-5) ≈ 119.05°

_____

<em>Comment on using a calculator</em>

If you use the ATAN2( ) function of a graphing calculator or spreadsheet, it will give you the angle in the proper quadrant. If you use the arctangent function (tan⁻¹) of a typical scientific calculator, it will give you a 4th-quadrant angle when the ratio is negative. You must recognize that the desired 2nd-quadrant angle is 180° more than that.

__

It may help you to consider looking at the "reference angle." In this geometry, it is the angle between the vector v and the -x axis. The coordinates tell you the lengths of the sides of the triangle vector v forms with the -x axis and a vertical line from that axis to the tip of the vector. Then the trig ratio you're interested in is ...

  Tan = Opposite/Adjacent = |y|/|x|

This is the tangent of the reference angle, which will be ...

  θ = arctan(|y| / |x|) = arctan(9/5) ≈ 60.95°

You can see from your diagram that the angle CCW from the +x axis will be the supplement of this value, 180° -60.95° = 119.05°.

3 0
3 years ago
Can you graph a line if its slope is undefined? Explain.
JulijaS [17]
You can but it would be going straight up and down
6 0
3 years ago
PLEASE HELP DONT JUST GUESS JUST TO GET POINTS LOL Plot any four points on the coordinate plane and connect them to form a quadr
sveticcg [70]

The quadrilateral formed by this process will always be a parallelogram

<h3>Quadrilaterals</h3>

A quadrilateral is simply any polygon that has four sides and four corners.

Common examples are:

  • Square
  • Rectangle
  • Rhombus
  • Kite
  • Trapezoid
  • Rhombus
  • Parallelogram

<h3>Figure 1</h3>

A square is drawn at the coordinates:

(0,0), (6,0), (0,6) and (6,6)

The midpoints of the square sides are at the following coordinates:

(0,3), (3,6), (6,3) and (3,0)

When the points of the midpoints are joined together, they form a parallelogram

<h3>Figure 2</h3>

A trapezoid is drawn at the coordinates:

(0,0), (2,6), (8,6) and (10,0)

The midpoints of the square sides are at the following coordinates:

(5,0), (5,6), (1,3) and (9,3)

When the points of the midpoints are joined together, they form a parallelogram

Hence, the quadrilateral formed by this process will always be a parallelogram

Read more about quadrilaterals and parallelograms at:

brainly.com/question/1190071

5 0
2 years ago
Please help!!!!!!!!!!​
Troyanec [42]

Answer:

Step-by-step explanation:

p + n + d + q = 25

Put everything into quarters.

p and q are equally likely to be drawn

q + n + d + q = 25

There are 3 times as many nickels as quarters

n = 3q

q + 3q + d + q = 25

There is 25% more dimes than quarters.

d = 1.25 q

q + 3q + 1.25q + q = 25

6.25 q = 25

q = 25/6,25

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

q = 4

p = 4

d = 1.25 * 4 = 5

n = 12

8 0
3 years ago
Find all the zeros of the equation
lapo4ka [179]

Divide both sides by -3, and replace x^2 with y. Then

-3x^4+27x^2+1200=0\iff y^2-9y-400=0

Factorize the quadratic in y to get

y^2-9y-400=(y+16)(y-25)=0\implies y=-16,y=25

which in turn means

x^2=-16,x^2=25

But x^2\ge0 for all real x, so we can ignore the first solution. This leaves us with

x^2=25\implies x=\pm\sqrt{25}=\pm5

If we allow for any complex solution, then we can continue with the solution we ignored:

x^2=-16\implies x=\pm\sqrt{-16}=\pm i\sqrt{16}=\pm4i

6 0
4 years ago
Other questions:
  • What is the decision regarding the differences between the observed and expected frequencies if the critical value of the chi-sq
    13·1 answer
  • If a rope that is 29.7 inches long is cut into equal pieces that are 2.25 inches long, how many pieces of rope can be created
    10·2 answers
  • Which ratio in this triangle represents cos θ?
    12·2 answers
  • Find a real number between the square root of 70 and the square root of 75.
    15·1 answer
  • The diagram shows the construction of the perpendicular bisector of AB.
    12·1 answer
  • Conduct a test at the a=0.05 level of significance by determining (a) null and alternative hypothesis, (b) the test statistic, (
    5·1 answer
  • Anyone know the answer to this question?
    9·1 answer
  • Which is the area of a square with one side that measures 1 foot
    15·2 answers
  • 4y³+2y²-2y²-2-3y-3y simplify
    8·1 answer
  • Square root of -25 minus square root of -9 plus square root of -81
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!