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
Svetach [21]
3 years ago
6

A party mix is made by adding nuts that sell for $2.50 per kg to a cereal mixture that sells for $1 per kg. How much of each sho

uld be added to obtain 40 kg if a mix that will sell for $1.30 per kg?
Mathematics
1 answer:
djyliett [7]3 years ago
4 0

Answer:

40kg

Step-by-step explanation:

x + y = 60, y = 60 - x

x(2.50) + y(1) = 60(1.50)

Substitute:

2.50 x + 60 - x = 90

1.50x = 30

x = 20 kg

y = 40 kg

You might be interested in
The amount of protein that an individual must consume is different for every person. There are solid theoretical ideas that sugg
amid [387]

Answer:

The proportion of the population that have a protein requirement less than 0.60 g P • kg-1 • d-1 is 0.239, that is, 239 persons for every 1000, or simply 23.9% of them.

\\ 0.239 =\frac{239}{1000}\;or\;23.9\%

Step-by-step explanation:

From the question, we have the following information:

  • The distribution for protein requirement is <em>normally distributed</em>.
  • The population mean for protein requirement for adults is \\ \mu= 0.65 gP*kg^{-1}*d^{-1}
  • The population standard deviation is \\ \sigma =0.07 gP*kg^{-1}*d^{-1}

We have here that protein requirements in adults is normally distributed with defined parameters. The question is about <em>the proportion</em> <em>of the population</em> that has a requirement less than \\ x = 0.60 gP*kg^{-1}*d^{-1}.

For answering this, we need to calculate a <em>z-score</em> to obtain the probability of the value <em>x </em>in this distribution using a <em>standard normal table</em> available on the Internet or on any statistics book.

<h3>z-score</h3>

A z-score is expressed as

\\ z = \frac{x - \mu}{\sigma}

For the given parameters, we have:

\\ z = \frac{0.60 - 0.65}{0.07}

\\ z = \frac{0.60 - 0.65}{0.07}

\\ z = -0.7142857

<h3>Determining the probability</h3>

With this value for <em>z</em> at hand, we need to consult a standard normal table to determine what the probability of this value is.

The value for z = -0.7142857 is telling us that the requirement for protein is below the population mean (negative sign indicates this). However, most standard normal tables give a probability that a statistic is less than z and for values greater than the mean (in other words, positive values). To overcome this, we need to take the complement of the probability given for z-score z = 0.7142857, that is, subtract from 1 this probability, which is possible because the normal distribution is <em>symmetrical</em>.

Tables have values for <em>z</em> with two decimal places, then, for z = 0.7142857, we need to rewrite it as z = 0.71. For this value, the <em>standard normal table</em> gives a value of P(z<0.71) = 0.76115.

Therefore, the cumulative probability for values less than x = 0.60 which corresponds to a z-score = -0.7142857 is approximately:

\\ P(x

\\ P(x (rounding to three decimal places)

That is, the proportion of the population that have a protein requirement less than 0.60 g P • kg-1 • d-1 is

\\ 0.239 =\frac{239}{1000}\;or\;23.9\%

See the graph below. The shaded area is the region that represents the proportion asked in the question.

5 0
3 years ago
Write an expression 6 more than 5 times a n
polet [3.4K]
5 + 6 hahahahaha hahhahhahaha
5 0
2 years ago
Read 2 more answers
POINTS!! I NEED HELP WITH THIS, WILL GIVE BRAINLIEST TO BEST ANSWER
neonofarm [45]

Answer:

Conjecture

Disjunction

Counterexample

Conjunction

Inductive reasoning

Conditional

Step-by-step explanation:

I used Quizlet and I knew most of them.

5 0
2 years ago
Read 2 more answers
A circular spinner for a game has a radius of 5 cm. The probability of winning on one spin of this spinner is $\frac{2}{5}$. Wha
irina [24]

The total area of a circle is pi * radius^2

The total area of the circle is pi x 5^2 = 25pi sq. cm.

2/5 of this is success, so the answer is 2/5 * 25pi = 10 pi sq. cm.

4 0
2 years ago
Someone pls help me pls!
MatroZZZ [7]

Answer:

y=\sqrt{x-5}

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Solve, explain why the algorithm works<br> 3892<br> -2567
    13·1 answer
  • ∠ A and ∠ B are complementary. If m∠ B = 80°, what is the measure of ∠ A?
    9·1 answer
  • How to find the slope from two points (14, -69) and (17, -57)
    5·1 answer
  • Why do you subtract exponents when dividing powers with the same base
    8·1 answer
  • Which expression can be written as k square root 3 where k is an integer
    10·1 answer
  • A markdown that is greater than 99% but less than 100%
    7·2 answers
  • For small changes in temperature, the formula for the expansion of a metal rod under a change in temperature is: g-L=aL(t-T), wh
    15·1 answer
  • Pls answer the question and show how or why
    13·2 answers
  • Find the size of the angle using Sohcahtoa or Pythagoras.
    7·1 answer
  • Please help me with this question:
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!