I NEED HELP PLEASE !!!!

The owner of a candy store wants to mix some peanuts worth $3 per pound, some cashews worth $10 per pound, and some Brazil nuts

elena-14-01-66 [18.8K]

Let
x = pounds of peanuts
y = pounds of cashews
z = pounds of Brazil nuts.

The total pounds is 50, therefore
x + y + z = 50 (1)

The total cost is $6.60 per pound for 50 pounds of mixture.
The total is equal to the sum of the costs of the different nuts.
Because the cost for peanuts, cashews, and Brazil nuts are $3, $10, and $9 respectively, therefore
3x + 10y + 9z = 50*6.8
3x + 10y + 9z = 340 (2)

There are 10 fewer pounds of cashews than peanuts, therefore
x = y + 10 (3)

Substitute (3) into (1) and (2).
y + 10 + y + z = 50
2y + z = 40 (4)
3(y + 10) + 10y + 9z = 340
13y + 9z = 310 (5)

From (4),
z = 40 - 2y (6)
Substitute (6) into (5).
13y + 9(40 - 2y) = 310
-5y = -50
y = 10
z = 40 - 2y = 40 - 20 = 20
x = y + 10 = 20

Answer:
Peanuts: 20 pounds
Cashews: 10 pounds
Brazil nuts: 20 pounds

8 0

3 years ago

I need an answer please! The question says Find the value of x that would make the following expression equivalent to sixteen ti

aev [14]

Square root of 6 times 16 will give us 39.19

The square root of 48 times 32 [which gives us 1536] is also equal to 39.19

The square root of 1536 is equal to 39.19

Hence, x is equal to 32

Hope this helped! :D

8 0

3 years ago

The length of a rectangular is 5 centimeters less then it width. The perimeter of the rectangle is 26

Zina [86]

Hi there! :)

Answer:

Length = 4 cm

Width = 9 cm

Step-by-step explanation:

Here's the information we know:

- Perimeter = 26 cm

- Width = x (I just replaced the width by "x" because it's what we are looking for)

- Length = x - 5

Now before we can do anything, you need to know what the formula for the perimeter of a rectangular is: P = (2 × Length) + (2 × Width)

Replace all the information you know in the formula and solve the equation by isolating "x":

P = (2 × Length) + (2 × Width)

26 = ( 2 × (x - 5)) + (2 × x)

Multiply "2" and "x" together → 2 × x = 2x

26 = ( 2(x - 5)) + 2x

Distribute the "2" to the entire parentheses → 2 × x = 2x & 2 × -5 = -10

26 = 2x - 10 + 2x

Add similar terms together → 2x + 2x = 4x

26 = 4x - 10

Add 10 to each side of the equation → 26 + 10 = 36

36 = 4x

Divide each side of the equation by 4 → 36 ÷ 4 = 9

9 = x ⇒ Measure of the width

Since the lenght is 5 centimeter less than the measure of the width, in order to find the measure of the length you'll need to subtract "5" from the measure of the width, which is "9":

9 - 5 = Length rectangle

9 - 5 = 4 ⇒ Length rectangle

There you go! I really hope this helped, if there's anything just let me know! :)

4 0

4 years ago

the age of a woman is 4 times the age of her daughter five year hence the age of the women will be three times the age of her da

sp2606 [1]

Answer:

5

Step-by-step explanation:

let

age of women = w

age of daughter = d

4d = w

w+5 = 3d

4d+5=3d

d=5

6 0

3 years ago

The graph of F(x) , shown below, has the same shape as the graph of G(x) = x ^ 2 , but it is shifted up 4 units and to the right

Novosadov [1.4K]

Answer:

A

Step-by-step explanation:

To translate a graph right you -3 from x. To translate a graph up you +4.

4 0

3 years ago