Answer: 2 lbs of cherries

Cherries = $5 per pound
Oranges = $2 per pound
Total Cost = $18
Total weight = 6 lb

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Define x and y
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Let x be the number of lb of cherries
Let y be the number of lb of oranges

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Construct equations
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x + y = 6 ---------------------------- (1)
5x + 2y = 18 ---------------------------- (2)

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Solve x and y
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From equation (1):
x + y = 6
x = 6 - y

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Substitute x = 6 - y into equation 2
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5x + 2y = 18
5 (6 - y) + 2y = 18
30 - 5y + 2y = 18
3y = 30 - 18
3y = 12
y = 4

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Substitute y = 4 into equation (1)
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x + y = 6
x + 4 = 6
x = 2

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Find the weight of cherries and oranges
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Cherry = x = 2 lb
Oranges = y = 4 lbs

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Answer: Alex bought 2 lb of cherries
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5 0

3 years ago

the Vikings play 36 games this year at midseason they had won 16 games. How many of the remaining games must they win in order t

aliina [53]

80% of their games are 28.8, or 29 games (since they need to win at least 80%). They have already won 16. 29-16 is 13.

Therefore, they need to win 13 more games.

P.S. The midseason statement is irrelevant.

5 0

4 years ago

An automobile depreciates by 20% per year. how soon will it be worth only half its original value? [hint: depreciation is like i

dimaraw [331]

1/2p=p (1-0.2)^t
1/2=(1-0.2)^t
1/2=(0.8)^t
Log (1/2)=t×log (0.8)
T=log(1÷2)÷log(0.8)
T=3.1 years

8 0

4 years ago

Just number 3 is fine please but if you could also 4

PIT_PIT [208]

Answer:

3. r = -8

4. x = -5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define equation

2(-5r + 2) = 84

Step 2: Solve for r

Divide 2 on both sides: -5r + 2 = 42
Subtract 2 on both sides: -5r = 40
Divide -5 on both sides: r = -8

Step 3: Check

Plug in r into the original equation to verify it's a solution.

Substitute in r: 2(-5(-8) + 2) = 84
Multiply: 2(40 + 2) = 84
Add: 2(42) = 84
Multiply: 84 = 84

Here we see that 84 does indeed equal 84.

∴ r = -8 is a solution of the equation.

Step 4: Define equation

264 = -8(-8 + 5x)

Step 5: Solve for x

Divide both sides by -8: -33 = -8 + 5x
Add 8 to both sides: -25 = 5x
Divide 5 on both sides: -5 = x
Rewrite: x = -5

Step 6: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: 264 = -8(-8 + 5(-5))
Multiply: 264 = -8(-8 - 25)
Subtract: 264 = -8(-33)
Multiply: 264 = 264

Here we see that 264 does indeed equal 264.

∴ x = -5 is a solution of the equation.

8 0

3 years ago