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
Strike441 [17]
3 years ago
6

Delaney would like to make a 10 lb nut mixture that is 60% peanuts and and 40% almonds. She has several pounds of peanuts and se

veral pounds of a mixture that is 20% peanuts and 80% almonds. Let p represent the number of pounds of peanuts needed to make the new mixture, and let m represent the number of pounds of the 80% almond-20% peanut mixture.
(a) What is the system that models this solution?
(b) Which of the following is a solution to the system: 4 lb peanuts and 6 lb mixture; 5 lb peanuts and 5 lb mixture; 8 lb peanuts and 2 lb mixture? Show your work.
Mathematics
1 answer:
vazorg [7]3 years ago
7 0

Answer:

If there is "p" pounds of peanuts and "m" pounds of '20% peanuts and 80% almonds' mixture, then, we can get the following equations,

p + m = 10 -----------(1) and

4m/5 = 4 ------------(2)

whose solution is 5 lb peanuts and 5 lb mixture.

Step-by-step explanation:

In the mixture which Delaney wants to make there would be

\frac {10 \times 60}{100} lb

= 6 lb of peanuts

So, there will be (10 - 6) lb  

= 4 lb of almonds

If  Delaney has "p" pounds of peanuts and "m" pounds of the '20% peanuts and 80% almonds' mixture, then according to the question,

p + m = 10 -----------(1) and

4m/5 = 4 ------------(2)

So, from (2),

m = 5 --------------(3)

So, from (1) and (3) ,

p = (10 - 5) = 5  

You might be interested in
Guys i need help on math plz
olga_2 [115]

Answer:

look at the picture for the answer

7 0
2 years ago
Example of a number thats not rational and tell me why its not
Mekhanik [1.2K]
One irrational number is π, also known as pi. A rational number is one that can be written as a ratio of two integers (whole numbers). Pi goes on forever, so it can't be written as a ratio. Therefore, π is irrational.
6 0
3 years ago
Read 2 more answers
There are 6 blue marbles, 3 red marbles, and 5 yellow marbles in a bag. What is the probability of selecting a blue or red marbl
STALIN [3.7K]
8.5 and the thing is 5/2
5 0
3 years ago
What is the length of the diagonal of a 10 foot by 8 foot rectangle?
zloy xaker [14]
Diagonal of a rectangle formula:

Diagonal = √l² + w²
Diagonal = √10² + 8²
Diagonal = √100 + 64
Diagonal = √164
Diagonal = 12.806 feet.

Or you can use the pythagorean theorem. The diagonal of a rectangle is the hypotenuse of a triangle.

a² + b² = c² ; where a and b represents the lengths of the triangle and c is the hypothenuse. In this case, the lengths are 10 ft and 8ft.

10² + 8² = 100 + 64 = 164 ; This represents c².
c = √c² = √164 = 12.806 ft
6 0
3 years ago
Is this correct pls help
Lyrx [107]

Answer:

Volume of round cake pan = volume of cylinder

Volume of a cylinder = \pi r^2h (where r is the radius and h is the height)

Radius = \dfrac12 diameter ⇒ r=\dfrac72=3.5

⇒ volume of round cake pan = \pi \times 3.5^2 \times 2=24.5\pi

= 76.97 in³ (nearest hundredth)

Volume of rectangular cake pan = volume of rectangular prism

volume of rectangular prism = wlh (where w is the width, l is the length and h is the height)

⇒ volume of rectangular cake pan = 6 x 9 x 2 = 108 in³

As 108 > 76.97, the rectangular cake pan has a larger volume

4 0
2 years ago
Other questions:
  • 10) Nicole has a 5 lb bag of carrots and a 2 oz bag
    7·2 answers
  • Solve the system of equations in the workspace below: <br> 2x - y = 16<br> x + y = 5
    11·1 answer
  • Someone please solve this and give your answer as a fraction in lowest terms.
    15·1 answer
  • 67 hundredths in numbers (decimals)
    9·1 answer
  • Use a model to divide. 1/2÷3​
    9·1 answer
  • Simplify this expression; -15k-1+12+2k​
    11·1 answer
  • What is the value of 4x^2 + 5x . when x = 1
    15·2 answers
  • Which sequence shows the numbers in the order least to greatest 1/2 , -2/3 , -3/4
    15·1 answer
  • What is the volume of the figure?
    14·1 answer
  • A professor wants to know whether or not there is a difference in comprehension of a lab assignment among students depending on
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!