A letter that represents an unknown number is a(n)

Ashley sells 18.6 kg bags of mixed nuts that contain 60% peanuts. To make her product she adds peanuts to Brand A's mixed nuts w

slavikrds [6]

Answer:

She combines 9.3 kg of each.

Step-by-step explanation:

Let x = amount of brand A in kg

Let y = amount of peanuts in kg

First we deal with the amount of each product she uses.

"Ashley sells 18.6 kg bags of mixed nuts that contain 60% peanuts."

x + y = 18.6

Now we deal with just the amount of peanuts.

"To make her product she adds peanuts to Brand A's mixed nuts which contain 20% peanuts."

Brand A contains 20% peanuts, so x kg of brand A contains 0.2x kg of peanuts.

The peanuts she adds are pure peanuts, so all of y is peanuts.

The result is 18.6 kg of a mixture that is 60% peanuts, so the amount of peanuts in the bags she sells is 0.6 * 18.6 kg.

0.2x + y = 0.6 * 18.6

0.2x + y = 11.16

We have a system of equations:

x + y = 18.6

0.2x + y = 11.16

We have y in both equations, so let's subtract the second equation from the first equation to eliminate y.

0.8x = 7.44

Divide both sides by 0.8

x = 9.3

Plug in 9.3 for x in the first equation of the system and solve for y.

x + y = 18.6

9.3 + y = 18.6

y = 9.3

Answer: She combines 9.3 kg of each.

4 0

2 years ago

During scuba lessons, Sue dove 30 feet, Harriet dove 120 feet, and Kathy dove 90 feet.What integers represent these depths? Orde

aleksley [76]

120, 90, 30 if you're going from the depths of the water to water level

3 0

2 years ago

The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the expect

Softa [21]

Answer:

For Australia: 22,044,350

For China: 1,545,744,200

For Mexico: 145,507,500

For Zaire: 92,237,875

Step-by-step explanation:

For Australia: Population in 2000 is 19,169,000 and it is increasing steadily at a rate of 0.6% per year.

Therefore, the population in the year 2025 will be

$19169000[1+\frac{0.6 \times 25}{100} ]= 22,044,350$ (Answer)

For China: Population in 2000 is 1,261,832,000 and it is increasing steadily at a rate of 0.9% per year.

Therefore, the population in the year 2025 will be

$1261832000[1+\frac{0.9 \times 25}{100} ]= 1,545,744,200$ (Answer)

For Mexico: Population in 2000 is 100,350,000 and it is increasing steadily at a rate of 1.8% per year.

Therefore, the population in the year 2025 will be

$100350000[1+\frac{1.8 \times 25}{100} ]= 145,507,500$ (Answer)

For Zaire: Population in 2000 is 51,965,000 and it is increasing steadily at a rate of 3.1% per year.

Therefore, the population in the year 2025 will be

$51965000[1+\frac{3.1 \times 25}{100} ]= 92,237,875$ (Answer)

5 0

2 years ago

PLEASE HELP ASAP!!

34kurt

Answer:

$123

Step-by-step explanation:

230/20=11.5

11.5x2=23

23+100=123

4 0

2 years ago

A bench is 35 inches long and 19 inches wide. how many square inches does it cover?

vfiekz [6]

Do 35 times 19 and that is the whole square inches or so 35 squared times 19 squared

4 0

2 years ago