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
ruslelena [56]
3 years ago
8

17. The owner of an organic fruit stand also sells nuts. She wants to mix cashews worth $5.50 per pound with peanuts worth

Mathematics
1 answer:
exis [7]3 years ago
6 0

Answer:

E

Step-by-step explanation:

Let's let c denote the amount of cashews and let's let p denote the amount of peanuts.

So, the owner wants to mix cashews worth $5.50 per pound with peanuts worth $2.30 per pound to get a 1/2 pound mixture that is worth $2.80 per pound.

In other words, the total pounds as an equation is:

c+p=0.5

Also, the price would be:

5.5c+2.3p=(p+c)2.8

Since we mixed the peanuts and cashews, our sum would be 2.8(p+c).

And we already determined that p+c is 0.5. Thus, substitute:

5.5c+2.3p=(0.5)(2.8)

Simplify:

5.5c+2.3p=1.4

Now, we can solve the system of equations. Isolate a variable from the very first equation:

c+p=0.5

Subtract p from both sides:

c=0.5-p

Now, substitute this into the equation earlier:

5.5c+2.3p=1.4\\5.5(0.5-p)+2.3p=1.4

Distribute:

2.75-5.5p+2.3p=1.4

Combine like terms:

2.75-3.2p=1.4

Subtract both sides by 2.75:

-3.2p=-1.35

Divide everything by -3.2:

p=0.412875

Now, find c:

p+c=.5

Substitute:

c+0.421875=.5

Subtract:

c=0.078125

Thus, the owner would need 0.08 pounds of cashews and 0.42 pounds of peanuts.

Our answer is E.

You might be interested in
This is a 9th grade algebra question....
inna [77]
12 fluid ounces of sweat an hour 
6 0
3 years ago
3.5x = 20 Round to nearest hundredths<br> place
Virty [35]

Answer:

5.71

Step-by-step explanation:

x = 20/3.5 = 5.71

7 0
2 years ago
Read 2 more answers
Question 3<br> Solve this system by using the elimination method.<br> 4x + 2y = 8<br> 5x + 3y = 9
umka21 [38]

Answer:

x=3, y=-2. (3, -2).

Step-by-step explanation:

4x+2y=8

5x+3y=9

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

simplify 4x+2y=8 into 2x+y=4

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

2x+y=4

5x+3y=9

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

y=4-2x

5x+3(4-2x)=9

5x+12-6x=9

-x=9-12

-x=-3

x=3

2(3)+y=4

6+y=4

y=4-6

y=-2

7 0
3 years ago
If the third of 7 consecutive numbers is 12,what is their sum?
Lerok [7]

Step-by-step explanation:

the third of 7 consecutive numbers is 12.

so, this looks like

..., ..., 12, ..., ..., ..., ...

that means the numbers have to be

10, 11, 12, 13, 14, 15, 16

the sum is then

16+10 + 15+11 + 14+12 + 13 = 3×26 + 13 = 91

4 0
2 years ago
75 is 128% of what number
Oksana_A [137]

\bold \pink{let \: the \: number \: be \: x}

\mathsf{128\% \times x = 75}

\\  \\  \frac{128}{100}  \times x = 75 \\  \\ x =  \frac{75}{1}  \times  \frac{100}{128}   \\ \\ x =  \frac{7500}{128}

\boxed{x = 58.59375}

75 is 128% of 58.59375

5 0
3 years ago
Read 2 more answers
Other questions:
  • Find the center and radius of the circle with the equation (x+5)^2+(y-2)^2=25
    8·1 answer
  • What is the slope of the line through the points (-3, -5) and (-4, -2)
    10·1 answer
  • How much longer was the world record than Sheila first jump
    11·1 answer
  • A plane took off at a 15° angle to the ground and flew in Sydney's direction. She is standing at a point 25 miles from the
    13·1 answer
  • I need help ASAP PLEASE!
    11·1 answer
  • Simplify the following
    8·1 answer
  • 12/y +9 at y =6 solve
    10·2 answers
  • Can someone simplify? I'm confused-
    15·1 answer
  • (-6,1) after a translation of (x-2y)
    9·1 answer
  • Charmaine's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Charmaine $4.25 per pound, a
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!