Ask question

Ask question

All categories

3 years ago

8

Belen wants to create a nut-mix. She can buy peanuts for $1.80 per pound and cashews for $4.50 per pound. If she wants to make a

10 pounds of nut-mix at a cost of $2.61 per pound, how many pounds of peanuts and how many pounds of cashews should she buy?

1 answer:

svetoff [14.1K]3 years ago

8 0

Answer:

7 and 3 respectively

Step-by-step explanation:

Peanuts (p/lb) = $1.80

Cashews (p/lb) = $4.50

Total pound = 10 pounds

Aggregate amount (at $2.61 per lb) = $26.1

Pound of peanut to buy = x

Pound of cashew to buy = y

x + y = 10..........(i)

1.8x + 4.5y = 26.1.....(ii)

Multiply equ (i) by 1.8 and equ (ii) by 1

1.8x + 1.8y = 18

1.8x + 4.5y = 26.1

Subtract (i) from (ii)

4.5y - 1.8y = 26.1 - 18

2.7y = 8.1

y = 3

Sub y = 3 into (i)

x + y = 10

x + 3 = 10

x = 10 - 3

= 7

Pounds of peanut to buy = 7 pounds

Pounds of cashew to buy = 3 pounds

You might be interested in

According to data on the state of Iowa, the amount of water used for cooking per household per month is normally distributed, wi

faltersainse [42]

95% confidence interval = 62.6 + or - 1.96 x 10.4/sqrt(60) = 62.6 + or - 1.96 x 1.343 = 62.6 + or - 2.63.

Therefore, there is a 95% chance that the population mean would lie between 59.91 liters and 65.29 liters.

6 0

3 years ago

Points that lie on the function h(x) = 3x 2.

ivann1987 [24]

0 = 3x + 2
y = 2
x = - 2/3

4 0

4 years ago

What are the coordinates of the endpoints of the midsegment for △JKL that is parallel to KL¯¯¯¯¯?

goldenfox [79]

Just took the quiz. The answer is (-1, -3) (1, -3)

8 0

3 years ago

Read 2 more answers

SOMEONE PLEASE HELP!! I've tried this question twice and I just can't seem to get it

jolli1 [7]

$\underline{\underline{\large\bf{Given:-}}}$

$\red{\leadsto}\:$ $\textsf{Total Number of fish }$ $\sf = 30$

$\red{\leadsto}\:$ $\textsf{ Number of carp fish }$ $\sf = 9$

$\underline{\underline{\large\bf{To Find:-}}}$

$\orange{\leadsto}\:$ $\textsf{ Ratio of carp to sticklebacks to tench }$ $\sf in \:the \:pond$

$\\$

$\underline{\underline{\large\bf{Solution:-}}}\\$

$\longrightarrow$ Number of fish that are not carp = Total fish - number of carp fish

$\begin{gathered}\implies\quad \sf 30-9 \\\end{gathered}$

$\begin{gathered}\implies\quad \sf 21 \\\end{gathered}$

$\longrightarrow$ Since 1/3 of remaining fish which are not carp are sticklebacks , Number of sticklebacks =

$\begin{gathered}\implies\quad \sf \frac{1}{3} \times number \:of \:remaining \: fish\\\end{gathered}$

$\begin{gathered}\implies\quad \sf \frac{1}{3}\times 21 \\\end{gathered}$

$\begin{gathered}\implies\quad \sf 7 \\\end{gathered}$

<u>Now</u> ,

$\longrightarrow$ Number of tench = Total number of fish - (Number of carp + Number of sticklebacks)

$\begin{gathered}\implies\quad \sf 30-(9+7) \\\end{gathered}$

$\begin{gathered}\implies\quad \sf 30-16\\\end{gathered}$

$\begin{gathered}\implies\quad \sf 14\\\end{gathered}$

$\therefore$ Ratio of carp to sticklebacks to tench in the pond =

$\begin{gathered}\quad\quad \boxed{\sf {9: 7:14}} \\\end{gathered}$

3 0

2 years ago

The formula s=0.04n+2500 gives an employees monthly salary s, in dollars, after selling n dollars in merchandise at an appliance

topjm [15]

A) Find the inverse of the function
s=0.04n+2500
s-2500=0.04n+2500-2500
s-2500=0.04n
s/0.04-2500/0.04=0.04n/0.04
25s-62,500=n
n=25s-62,500
Answer: The inverse of the function is n=25s-62,500

Is <span>the inverse a function?
Yes, the inverse is a function, a linear function.

</span>b) Use the inverse to find the same amount of merchandise sold if the employees salary was $2820 last month.
s=2,820→n=25(2,820)-62,500
n=70,500-62,500
n=8,000
Answer: The amount of merchandise sold was $8,000

4 0

3 years ago