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
r-ruslan [8.4K]
2 years ago
6

Granola costs $6.50 per pound. Assorted nuts cost $9 per pound. How many pounds of granola and nuts are needed to make 9 pounds

of trail mix that costs $8 per pound?
Mathematics
1 answer:
bezimeni [28]2 years ago
7 0

Answer:

  • 3.6 pounds of granola and 5.4 pounds of nuts

Step-by-step explanation:

Let the required granola be x pounds, then amount of nuts is 9 - x.

<u>The price of the mixture is as below equation:</u>

  • 6.5x + 9(9 - x) = 8*9
  • 6.5x + 81 - 9x = 72
  • 81 - 2.5x = 72
  • 2.5x = 81 - 72
  • 2.5x = 9
  • x = 9/2.5
  • x = 3.6

<u>Find the amount of nuts:</u>

  • 9 - 3.6 = 5.4
You might be interested in
Can help me complete this problem please :c
FrozenT [24]

Answer:

112.5 deg

Step-by-step explanation:

First we find the area of the entire circle.

A = pi * r^2

A = pi * (4 m)^2

A = 16pi m^2

The entire circle has area = 16pi m^2.

The sector has area 5pi m^2.

Now we find the fraction the area of the sector is of the entire circle.

fraction = (5pi m^2)/(16pi m^2) = 5/16 = 0.3125

The full circle has a central angle of 360 deg, the entire circle.

The measure of the central angle of the arc of the sector is the same fraction of the entire circle.

measure of sector angle = 0.3125 * 360 deg = 112.5 deg

4 0
3 years ago
Read 2 more answers
What is another way to find the total cost of a pair of shoes for $57 with a sales tax of 2%?
Evgesh-ka [11]
57 x .02 will get the right answr
4 0
3 years ago
Y'all I am struggling Use the following functions to find each value below. f(x)=5x; g(x)=−2x+1; h(x)=x2+6x+8
Anni [7]

Answer:

see below the first three problems

Step-by-step explanation:

f(g(-2))

First, find g(-2) using function g(x). Then use that value as input for function f(x).

g(x) = -2x + 1

g(-2) = -2(-2) + 1

g(-2) = 5

f(x) = 5x

f(5) = 5(5)

f(5) = 25

f(g(-2)) = 25

g(h(3))

First, find h(3) using function h(x). Then use that value as input for function g(x).

h(x) = x^2 + 6x + 8

h(3) = 3^2 + 6(3) + 8 = 9 + 18 + 8

h(3) = 35

g(x) = -2x + 1

g(35) = -2(35) + 1 = -70 + 1

g(35) = -69

g(h(3)) = -69

f(g(3a))

First, find g(3a) using function g(x). Then use that value as input for function f(x).

g(x) = -2x + 1

g(3a) = -2(3a) + 1

g(3a) = -6a + 1

f(x) = 5x

f(-6a + 1) = 5(-6a + 1)

f(-6a + 1) = -30a + 5

f(g(3a)) = -30a + 5

5 0
3 years ago
A container in the shape of a rectangular prism has a base that measures 20 cm by 30 cm and has a height of 15 centimeters. The
lara [203]
Notice the picture below

the added water, will also be a rectangular prism, with a height of 2.5cm

4 0
4 years ago
A market sells strawberries for $5 per pint. Yesterday the market sold $46 worth of strawberries and today $52 worth. Which of t
aliina [53]

Answer:

yesterday 9 today 10

Step-by-step explanation:

46/5= 9.2

52/5= 10.4

5 0
3 years ago
Other questions:
  • Write the number the name represents: six million and five thousandths.<br><br>*Please Show Work*
    5·1 answer
  • The value of y when x equals 10. 5x-y=54
    15·2 answers
  • Can someone help me with this and have it step by step please
    11·1 answer
  • Solve for x:<br> 3/ X - 4 = 6/ X+1
    11·1 answer
  • Please help <br><br> (only #15 to do)
    6·1 answer
  • Working as an insurance salesperson, Ilya earns a base salary and a commission on each new policy, so Ilya’s weekly income, II,
    12·1 answer
  • In May 2010, the Pew Research Center for the People &amp; the Press carried out a national survey to gauge opinion on the Arizon
    9·1 answer
  • 2/5 + m = 5/6 Im stuck on that please help.
    6·2 answers
  • Please help me out! as soon as possible!!! I will give you brainiest!
    11·1 answer
  • 2e + 3 + 7 = 2 please help me solve
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!