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
Marizza181 [45]
3 years ago
7

Directions: Use a proportion to solve the problem.

Mathematics
1 answer:
spin [16.1K]3 years ago
5 0
So, since she weights 6 times more on earth, say for every lb on the moon  is 6lbs on earth then.

now, if 1lb on the moon is 6lbs on earth, how much is 90 earth lbs on the moon?

\bf \begin{array}{ccll}
moon&earth\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
1&6\\
m&90
\end{array}\implies \cfrac{1}{m}=\cfrac{6}{90}\implies \cfrac{1\cdot 90}{6}=m
You might be interested in
14-21 in lowest terms
BaLLatris [955]
-7 is the answer to that
8 0
2 years ago
The function f(x) = 300(0.5)x/100 models the amount in pounds of a particular radioactive material stored in a concrete vault, w
allsm [11]

The amount of the radioactive material in the vault after 140 years is 210 pounds

<h3>How to determine the amount</h3>

We have that the function is given as a model;

f(x) = 300(0.5)x/100

Where

  • x = number of years of the vault = 140 years
  • f(x) is the amount  in pounds

Let's substitute the value of 'x' in the model

f(x) = 300(0.5)x/100

f(x) = \frac{300(0.5) * 140}{100}

f(x) =\frac{21000}{100}

f(140) = 210 pounds

This mean that the function of 149 years would give an amount of 210 pounds rounded up to the nearest whole number.

Thus, the amount of the radioactive material in the vault after 140 years is 210 pounds

Learn more amount radioactive decay here:

brainly.com/question/11117468

#SPJ1

5 0
1 year ago
At a certain time of day, a 5.5 foot tall man has a 6 foot shadow. if a tree is 19.25 feet tall, what is the length of the shado
Minchanka [31]
At a certain time of day, a 5.5 foot tall man has a 6 foot shadow. if a tree is 19.25 feet tall, what is the length of the shadow of the tree(x=shadow of the tree)

the equation for the problem is...
5.5/6=19.25/x
you then multiply the denominators on both sides...
5.5x=19.25*6
you then solve on one side...
5.5x=115.5
and then divide 5.5 on both sides to leave x alone...
x=21
the shadow of the tree is 21

(leave a thanks and a rating if i helped) c:
4 0
2 years ago
In what quadrant does the angle whose measure is (15pi)/4 terminate?
Masteriza [31]

Answer:

Quadrant IV

Step-by-step explanation:

15π/4 is the same angle as 15π/4 − 2π = 7π/4.  Which terminates in the fourth quadrant.

3 0
2 years ago
F(x) = x^2+x-2/x^2-3x-4
Andrej [43]

i. Domain and Range

The given function is

f(x)=\frac{x^2+x-2}{x^2-3x-4}


The domain of this function is,

x^2-3x-4\ne 0

(x-4)(x+1)\ne 0

x\ne4,xne -1


The range refers to the y-values for which x is defined. x  is defined for all values of y.

The range is all real numbers. See graph

ii. x-and-y-intercept

For x- intercept intercept we put f(x)=0

This implies that;

\frac{x^2+x-2}{x^2-3x-4}=0


This will give us

x^2+x-2=0

\Rightarrow x^2+x-2=0


\Rightarrow x^2+2x--x-2=0

\Rightarrow x(x+2)-1(x+2)=0

\Rightarrow (x+2)(x-1)=0


\Rightarrow (x+2)=0,(x-1)=0

\Rightarrow x=-2,x=1

The x-intercepts are (-2,0),(1,0)


For y-intercept, we put

x=0 to obtain;

f(0)=\frac{0^2+0-2}{0^2-3(0)-4}

f(0)=\frac{1}{2}

The y-intercept is

(0,\frac{1}{2})

iii. Horizontal asyptote

Since degree of the numerator and the denominator are the same, there is a horizontal asymptote

To find the horizontal asymptote.


We divide the leading coefficient of the numerator by the leading  coefficient of the denominator.


The horizontal asymptote is y=\frac{1}{1}=1

iv. Vertical asymptote

To find the vertical asymptote, we equate the denominator to zero to get;

x^2-3x-4=0


This implies that;

x^2+x-4x-4=0

Split the middle term

x(x+1)-4(x+1)=0

Factor

(x+1)(x-4)=0

Factor further

(x+1)=0,(x-4)=0

x=-1,x=4


The vertical asymptotes are x=-1,x=4




8 0
2 years ago
Read 2 more answers
Other questions:
  • Sam is 6 years older than marlon. The sum of their ages is 30. Find Sam and marlons age.
    15·2 answers
  • What is the axis of symmetry for the graph of y-4x=7-x^2
    6·1 answer
  • In a bag there are 4 blue marbles,8 red marbles, and 5 orange marbles. if two marbles are drawn without replacement find the pro
    13·1 answer
  • What is 30xy -28xy -xy in simple form
    13·1 answer
  • Is the histogram uniform, symmetric, or skewed?
    14·1 answer
  • The length y of a rectangle is four less than three times the width x. The perimeter of the rectangle is 16 cm.
    6·1 answer
  • Please answer the question on the attachment &lt;3
    13·1 answer
  • Pleaseeeeeeeeee help DO ALL 3 PLEASE AND THANK YOU
    13·1 answer
  • Evaluate 2x + 1 when x = 7.
    10·2 answers
  • Abby sells beauty products. She has a monthly salary of $1000. She also earns 1%
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!