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
stich3 [128]
3 years ago
8

I have some cheese. I used

Mathematics
1 answer:
hram777 [196]3 years ago
6 0
<h3>Answer:     2500 grams</h3>

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

Work Shown:

A = amount of grams of cheese you had originally

B = (2/5)*A = amount of cheese you use up after day 1

C = (3/5)*A = amount of cheese you have left over after day 1

note how B and C add back up to 'A'.

This is because 2/5+3/5 = 5/5 = 1, so,

B+C = (2/5)A+(3/5)A = (2/5+3/5)A = 1*A = A

--------------

D = (2/5)*C = amount of cheese you use up after day 2

E = (3/5)*C = amount of cheese left over after day 2

the variables D and E add up to C

we are told that there are 900 grams of cheese left after day 2, so E = 900

--------------

E = (3/5)*C

(3/5)*C = E

(3/5)*C = 900 ... Plug in E = 900

3C = 900*5 .... multiply both sides by 5

3C = 4500

C = 4500/3 .... divide both sides by 3

C = 1500

This means you had 1500 grams of cheese after day 1

-------------

C = (3/5)*A

(3/5)*A = C

(3/5)*A = 1500 ... plug in C = 1500

3A = 1500*5 ... multiply both sides by 5

3A = 7500

A = 7500/3 .... divide both sides by 3

A = 2500

-----------

<h3>You started off with 2500 grams of cheese.</h3>

After day 1, you use up (2/5)*2500 = 1000 grams of cheese and have 2500-1000 = 1500 grams left over.

After day 2, you use up (2/5)*1500 = 600 grams of cheese and have 1500-600 = 900 grams left over.

The answer is confirmed.

You might be interested in
Can some also explain it to me how to identify if it’s continuous exponential
sweet-ann [11.9K]
B is the correct answer


hope this helps
8 0
3 years ago
Suppose h(x)=3x-2 and j(x) = ax +b. Find a relationship between a and b such that h(j(x)) = j(h(x))
sergejj [24]

Answer:

\displaystyle a = \frac{1}{3} \text{ and } b = \frac{2}{3}

Step-by-step explanation:

We can use the definition of inverse functions. Recall that if two functions, <em>f</em> and <em>g</em> are inverses, then:

\displaystyle f(g(x)) = g(f(x)) = x

So, we can let <em>j</em> be the inverse function of <em>h</em>.

Function <em>h</em> is given by:

\displaystyle h(x) = y = 3x-2

Find its inverse. Flip variables:

x = 3y - 2

Solve for <em>y. </em>Add:

\displaystyle x + 2 = 3y

Hence:

\displaystyle h^{-1}(x) = j(x) = \frac{x+2}{3} = \frac{1}{3} x + \frac{2}{3}

Therefore, <em>a</em> = 1/3 and <em>b</em> = 2/3.

We can verify our solution:

\displaystyle \begin{aligned} h(j(x)) &= h\left( \frac{1}{3} x + \frac{2}{3}\right) \\ \\ &= 3\left(\frac{1}{3}x + \frac{2}{3}\right) -2 \\ \\ &= (x + 2) -2 \\ \\ &= x \end{aligned}

And:

\displaystyle \begin{aligned} j(h(x)) &= j\left(3x-2\right) \\ \\ &= \frac{1}{3}\left( 3x-2\right)+\frac{2}{3} \\ \\ &=\left( x- \frac{2}{3}\right) + \frac{2}{3} \\ \\ &= x  \stackrel{\checkmark}{=} x\end{aligned}

3 0
2 years ago
Bill's recipe for onion soup call for 4.0lb of thinly sliced onions. If an onion has an average mass of 115g, how many onions do
musickatia [10]

Answer:

1. 16\ onions

2. 4,040.91\ kg

Step-by-step explanation:

1. You know that the average mass of an onion is 115 grams and Bill needs 4.0 pounds.

Then, since 1\ lb=453.592\ g, we can make the following conversion:

(4.0\ lb)(\frac{453.592\ g}{1\ lb})=1,814.37\ g

Then, the number of onions Bill needs is:

(1,814.37\ g)(\frac{1\ onion}{115\ g})=15.77\ onions ≈ 16\ onions

2.  Since 1\ kg=2.20462\ lb, we can make the following conversion:

(11\ lb)(\frac{1\ kg}{2.20462\ lb})=4.98\ kg

 Knowing that all the potatoes sold today at the store bring in $1,420 and 4.98 kilograms of potatoes is $1.75, we can calculate the amount of kilograms the grocery shoppers bought:

(\$1,420)(\frac{4.98\ kg}{\$1.75})=4,040.91\ kg

6 0
3 years ago
The population of Laredo, Texas, was about 215,500 in 2007. It was about 123,000 in 1990. If we assume that the population growt
Mazyrski [523]

Answer:

hello, This can be solved using your standard rise over run slope calculation.  Think of the number of years after 1990 as your input variable.  2007 would be 17 years after 1990, so the "y" variable would be 17.  This is your "run", and it goes in the denominator of your slope calculation.  Then the difference between the 2007 population and the 1990 population would be the "p" variable difference, the "rise", which is 92500.  Dividing, you will get 5441.17.  Since we're talking about humans, we can't have a decimal, so let's round up to 5442.

 

Using the slope-intercept form of a linear equation (y = ax + b), we will say that p = 5442y + 123000.  Do you know why we add the 123000?  It's because that's the starting value, which is equivalent to the "intercept" in the slope-intercept form.

 

Hope this helps.

Step-by-step explanation:

6 0
3 years ago
Explain the special pattern for sketching a parabola
Lady bird [3.3K]

Answer:

the parabola can be written as:

f(x) = y = a*x^2 + b*x + c

first step.

find the vertex at:

x  = -b/2a

the vertex will be the point (-b/2a, f(-b/2a))

now, if a is positive, then the arms of the parabola go up, if a is negative, the arms of the parabola go down.

The next step is to see if we have real roots by using the Bhaskara's equation:

x =  \frac{-b +-\sqrt{b^2 -4ac} }{2a}

Now, draw the vertex, after that draw the values of the roots in the x-axis, and now conect the points with the general draw of the parabola.

If you do not have any real roots, you can feed into the parabola some different values of x around the vertex

for example at:

x =  (-b/2a) + 1 and x =  (-b/2a) - 1

those two values should give the same value of y, and now you can connect the vertex with those two points.

If you want a more exact drawing, you can add more points (like x =  (-b/2a) + 3 and x =  (-b/2a) - 3) and connect them, as more points you add, the best sketch you will have.

8 0
3 years ago
Other questions:
  • Y=-0.5x^2+25x-150.5
    8·1 answer
  • The sum of teresa's and Cathy's weight is 118 pounds Teresa weights 26 pounds more than Cathy. If teresa weight is t and Cathy w
    15·1 answer
  • What is the distance traveled by the lunar station in one orbit?
    9·1 answer
  • Assume that adults have IQ scores that are normally distributed with a mean of 96.296.2 and a standard deviation 20.520.5. Find
    8·1 answer
  • Rashad has 25 stamps. he shared them equally among himself and four friends. then rashad found two more in pocket. what is the e
    12·2 answers
  • If LM = 22 and MN = 15, find LN.
    5·1 answer
  • What's the end time of 2hours and 18 minutes?
    5·2 answers
  • Can y’all please help, it’s gradpoint. 30 points and brainliest with explanation ! :(
    14·1 answer
  • Which of the following graphs model exponential functions? Select all that apply.
    6·1 answer
  • A bag of cookies weighs 19.1 ounces. The bag contains 50 cookies. How much does each cookie weigh?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!