For every part produced by a factory there are 5 ounces of scrap aluminum that can be recycled there are 16 ounces in 1 pound and 2,000 in 1 ton how many parts must the factory produce so that there is1 ton of scrap aluminum for recycling

Answer:

5-2.5

10-5

15-7.5

20-10

25-12.5

Step-by-step explanation:

The number of pizzas is just double the pounds of cheese.

Answer:

c+8 = 24

16 children

Step-by-step explanation:

Let c = number of children

8 more than

c+8

is means equals

c+8 = 24

Subtract 8 from each side

c+8-8 = 24-8

c = 16

Answer:

Let the two numbers be x and y. We know that:

xy = 23

We also know that:

1/x + 1/y = 2

Multiplying both sides of the second equation by xy, we get:

y + x = 2xy

Substituting the value of xy from the first equation, we get:

y + x = 2(23)

y + x = 46

Therefore, the sum of the two numbers is 46.

Step-by-step explanation:

Answer:

53$

Step-by-step explanation:

I'm an expert trust me and MARK AS BRAINLIEST

You would get 23p as change from £1 if you spent 77p.

To find how much change you would get from £1 if you spent 77p, you need to subtract the amount you spent from the total amount you have.

Total amount = £1

Amount spent = 77p

To find the change, we need to convert both amounts to the same unit (pence) before performing the subtraction.

1 pound (£1) is equal to 100 pence, so:

Total amount = 100p

Amount spent = 77p

Now, subtract the amount spent from the total amount to find the change:

Change = Total amount - Amount spent

Change = 100p - 77p

Change = 23p

So, you would get 23p as change from £1 if you spent 77p.

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Answer:

  $687.42

Step-by-step explanation:

The total with tax is ...

  (price) + (tax rate)×(price)

  = price(1 +tax rate)

  = $643.95×1.0675 ≈ $687.42 . . . price with tax

Answer:

20

Step-by-step explanation:

The correct option is A, we have a translation of 7 units to the right.-

To find it, we need to analyze two correspondent vertices.

We can see that vertex A is at (1, 5), while the correspondent vertex A' is at (8, 5)

Taking the difference between that, we will get:

A' - A = (8, 5) - (1, 5) = (8 - 1, 5 - 5) = (7, 0)

The first value gives the horizontal translation and the second the vertical one

So,we have a translation of 7 units to the right, the correct option is A.

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In the given function H(p) = p/5 + 15, the independent variable is "p" ,

The independent variable in this function is denoted by "p." The independent variable can also be referred to as the input variable, which means that it is the value that is inputted into the function to produce an output. In this specific function, "p" represents the price of a good or service.

It is important to distinguish between the independent and dependent variables in a function. The dependent variable is denoted by "H(p)" in this case, and it is the output of the function. The value of the dependent variable is determined by the independent variable. In this function, "H(p)" represents the total cost of the good or service, which is dependent on the price "p." p is the input variable representing the price of the good or service.

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LOLLOLOLOOLOLASDLODSALLOASDLOASD

Answer:

it is true :)

Step-by-step explanation:

The gas mileage rate for each week of trip is, week 1 is 24.94 miles per gallon and in week 2 is 18 miles per gallon. The gas mileage rate for the entire trip is 21.59 miles per gallon.

To calculate the gas mileage rate, divide the number of miles driven by the number of gallons of fuel consumed.

Week 1:

Miles traveled: 2,120 miles

Gasoline used: 85 gallons

The gas mileage rate for Week 1: 2,120 miles / 85 gallons = 24.94 miles per gallon

Week 2:

Miles traveled: 1,422 miles

Gasoline used: 79 gallons

The gas mileage rate for Week 2: 1,422 miles / 79 gallons = 18.00 miles per gallon

Entire Trip:

Total miles traveled: 2,120 miles + 1,422 miles = 3,542 miles

Total gasoline used: 85 gallons + 79 gallons = 164 gallons

The gas mileage rate for the entire trip: 3,542 miles / 164 gallons = 21.59 miles per gallon.

Therefore, the gas mileage rate for each week of trip is, week 1 is 24.94 miles per gallon and in week 2 is 18 miles per gallon. The gas mileage rate for the entire trip is 21.59 miles per gallon.

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The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

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Answer:

356 i think this is it sorry if its not

Step-by-step explanation:

Answer:

356

Step-by-step explanation:

2 + 2 +2 x2 x2 x2 2x 2 = 356

We have the following:

Since there are 4 cards and each one has a value of -10 points, we have

Which means that the score changed by -40 points

Answer:

6 hours.

Step-by-step explanation:

To find how many hours it would take to drive a 240 mile distance at a constant speed of 40 miles per hour, you'd divide 240 by 40 and the result of that is 6.

Answer:

6 hours

Explanation:

240/40= 6

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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i. The down payment is $11,000    

ii. The mortgage (loan) was for $99,000.      

iii. The current monthly payment is $471.15.  

iv. Total interest is $169,334.00.

The down payment is the initial payment made when purchasing a home, typically expressed as a percentage of the total purchase price.

In the given problem, the mortgage (loan) is the amount of money borrowed to purchase the home, which is equal to the purchase price of the home minus the down payment.

Here we have

Problem 1:

10 years ago you bought a home for $110,000, paying 10% as a down payment, and financing the rest at 9% interest for 30 years.  

The down payment was 10% of the purchase price of the home

=> Down payment = 10% of $110,000

= [10/100] × $110,000 = $11,000

∴ You will be paid $11,000 as your down payment.

Amount borrowed = the purchase price of the home - Down payment

=> Amount borrowed = $110,000 - $11,000 = $99,000

∴ Your mortgage (loan) was for $99,000.    

To calculate the current monthly payment, use the formula for the monthly payment of a fixed-rate mortgage:

P = (A / D) x (r / 12)

Where:

A = amount borrowed

D = discount factor, i.e calculated as (1 - (1 + r / 12)⁻ⁿ)  

r = monthly interest rate,      

n = total number of payments,  

=> P = ($99,000 /124.4) x 0.0075 = $471.15  

∴ The current monthly payment is $471.15.  

The formula for total interest = (P x n) - A  

=> Total interest = ($471.15 x 360) - $99,000 = $169,334.00              

∴ You will pay a total of $169,334.00 in interest over the life of the loan.    

Therefore,

i. The down payment is $11,000    

ii. The mortgage (loan) was for $99,000.      

iii. The current monthly payment is $471.15.  

iv. Total interest is $169,334.00.      

Problem 2

This year, you check your loan balance. You see that you still have $88,536 left to pay on your loan. Your house is now valued at $150,000.

i. Amount paid off = Original loan amount - Current loan balance

Original loan amount = $99,000

Current loan balance = $88,536

Amount paid off = $99,000 - $88,536

Amount paid off = $10,464

∴ you have paid off $10,464 of the loan.

ii. Total paid = Monthly payment x Number of payments

P = ($99,000 / 207.483) x 0.0075

P ≈ $471.15

The number of payments is the number of months since you took out the loan. Since the loan was taken out 10 years ago, or 120 months ago, the number of payments is 120.

Total paid = $471.15 x 120

Total paid = $56,538

∴ you have paid $56,538 to the loan company so far.

iii. To determine how much interest you have paid so far, we need to subtract the amount paid off from the total amount paid:

Interest paid = Total paid - Amount paid off

Interest paid = $56,538 - $10,464

Interest paid = $46,074

∴ you have paid $46,074 in interest so far.

iv. Equity = Current value of the home - Current loan balance

Equity = $150,000 - $88,536

Equity = $61,464

∴ you have $61,464 of equity in your home.

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The Distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.

The distance between two points in a coordinate plane. The distance formula is based on the Pythagorean theorem and calculates the straight-line distance between two points.

The coordinates of the first point as (x1, y1) = (4, -2) and the coordinates of the second point as (x2, y2) = (7, -9).

The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values:

d = sqrt((7 - 4)^2 + (-9 - (-2))^2)

d = sqrt((3)^2 + (-7)^2)

d = sqrt(9 + 49)

d = sqrt(58)

Hence, the distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.

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Answer: 3/4 + 7/12 - (-4) = 3/4 + 7/12 + 4 (two minuses make a plus)

3/4 + 7/12 + 4/1 = 9/12 + 7/12 + 48/12           (4 = 4/1 or 4 divided by 1)  

(to add the fractions the denominators need to be the same. Multiply both the denominator and numerator by the same number)

(9+7+48)/12 = 64/12 = 5 and 1/3 or 16/3

We can also get this answer by leaving the 4 as a whole number:

9/12 + 7/12 +4 = 16/12 + 4 = 1 and 1/3 + 4 = 5 and 1/3

If you put the sum in a calclator you also get 5 and 1/3.

Hope this helps :)

Answer:

X = 2

Y = 3

Step-by-step explanation:

\(5(8)x - 2(8)y - 4(8) = 0 \\ + \\ 3x + 16y - 54 = 0 \\ = \\43x - 86 = 0 \\ 43x = 86 \\ x = 86 \div 43 \\ x = 2 \\ 5(2) - 2y - 4 = 0 \\ 10 - 2y - 4 = 0 \\ 6 - 2y = 0 \\ 2y = 6 \\ y = 6 \div 2 \\ y = 3\)

Answer:

10% of $50.00 is $5.00 SO ORGINAL PRICE IS $55.00

Step-by-step explanation:

50÷10=5

5 00+50.00= $55.00

Answer: x=6, y=13

——————————

If the function g(x) is defined for all real-numbers, then the value of g(-5) is 7/2, g(-2) is -1 and g(-1) is 0.

A piecewise function is a function that is defined by different rules or formulas on different parts of its domain. The piecewise function "g(x)" is given as :

g(x) = {-(1/2)x + 1,    for x<-2

       = {-(x+1)²,        for -2≤x≤1

      =  {4                 for x>1

We have to find the value of g(-5) ,g (-2), and g(-1),

For x = -5, the number -5 is less than -2, so the first function "-(1/2)x + 1" will be used,

⇒ g(-5) = -(1/2)(-5) + 1 = 5/2 + 1 = 7/2,

For x = -2, the number -2 lies in the interval "-2≤x≤1", so second function

"-(x+1)²" will be used,

⇒ g(-2) = -(x+1)² = -(-2+1)² = -(-1)² = -1,

For x = -1, the number -1 lies inn the interval "-2≤x≤1", so second function "-(x+1)²" will be used,

⇒ g(-1) = -(x+1)² = -(-1+1)² = -(0)² = 0,

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Answer:

We have observed from the exponents​ is described below in detail.

Step-by-step explanation:

Exponents can be a negative whole number, positive whole number, negative fraction, and positive fraction.

The zero exponent command is one of the commands that will support you clarify exponents... and it is a measure describing the power to which a given quantity or appearance to be proposed symbol alongside the quantity or appearance EXAMPLE: 2³=2x2x2

Answer:

53/6 = 8 5/6

41/4 = 10 1/4

42/5 = 8 2/5

Step-by-step explanation:

You're welcome.

The best i could find out is 450p